A beam of white light is incident on a thick glass plate with parallel sides, at an angle between 0°and 90° with the normal. Which color emerges from the other side first?A) redB) violetC) greenD) None of the given; all colors emerge at the same time.

Answers

Answer 1

The correct answer to the question is D) None of the given; all colors emerge at the same time when the beam of white light is incident on a thick glass plate with parallel sides at an angle of 0° with the normal.

When white light enters a thick glass plate, it undergoes refraction, which means the light waves change direction and speed as they move through the glass. This causes the different colors of the spectrum to separate, with red being the least refracted and violet being the most refracted.

The angle at which the light enters the glass plate determines how much it is refracted, with greater angles causing more refraction. As a result, the color that emerges first from the other side of the glass plate will depend on the angle of incidence.

At an angle of 0°, the light will not be refracted at all and all colors will emerge at the same time. As the angle increases, the colors will start to separate and the order in which they emerge will be: red, orange, yellow, green, blue, indigo, and violet.

To know more about beam refer here:

https://brainly.com/question/31324896#

#SPJ11

Answer 2

The answer is B) violet. When white light enters a thick glass plate at an angle, it undergoes refraction and separates into its constituent colors. This is because different colors have different  violets and Wavelength therefore bend at different angles. The color with the shortest wavelength, which is violet, bends the most and emerges first from the other side of the glass plate.
B) violet

When a beam of white light is incident on a thick glass plate at an angle between 0° and 90° with the normal, the light is refracted, and colors separate due to dispersion. Violet light has the shortest wavelength and is refracted more than the other colors, causing it to emerge from the other side of the glass first.

Learn more about violet here;

https://brainly.com/question/11879525

#SPJ11


Related Questions

Could there ever be a situation where a small sports car could have more inertia than a big bus?​

Answers

There could as smaller objects have more inertia. Mass is a measure of an objects in Harsha. Objects with greater mass have a greater in Inertia yet it’s still maintains the same amount of inertia as usual. It still has the same tendency to resist changes in its state of motion. So yes it is possible that there could ever be a situation where a small sports car would have more inertia than a big bus. :)

Plz don’t send me link over what the answer is just tell me. What force is represented by the vector?
A. friction
B. gravity
C. normal force
D. push

Plz dont send me link over what the answer is just tell me. What force is represented by the vector?A.

Answers

I think it’s c.normal force

Answer:

B. gravity

Explanation:

The ball if moving down so gravity is acting on it because it is pulling it down to earths toward the center of earth aka the ground.

1. Write the goal of the lab or the question you tried to answer.

Answer:

Type your answer here.

Lab report density and buoyancy

Answers

The goal of the lab is to investigate the relationship between density and buoyancy. The lab aims to determine how different objects or substances behave in fluids and understand the principles of density and buoyancy through experimental observations and calculations.

The goal of the lab or the question being addressed in the lab report is to investigate and understand the concepts of density and buoyancy. Density refers to the measure of how much mass is contained within a given volume, while buoyancy refers to the upward force exerted on an object submerged in a fluid, such as water or air.

The lab report aims to explore the relationship between density, mass, and volume by conducting experiments and analyzing data. It may involve measurements of different objects or substances, determining their masses and volumes, and calculating their densities. The report may also involve experiments related to buoyancy, such as determining the buoyant force on an object and investigating factors affecting buoyancy.

By conducting the lab and analyzing the obtained results, the lab report aims to provide a deeper understanding of these fundamental concepts in physics and to demonstrate the principles of density and buoyancy through practical experimentation. The report may also include discussions of the significance and applications of density and buoyancy in various fields, such as engineering, architecture, and fluid dynamics.

know more about density here:

https://brainly.com/question/1978192

#SPJ8

Which wave characteristic determines color?

A. the number of waves that pass per second

B. the measurement from crest to crest

C. the highest point on the wave

C. the lowest point on the wave

Answers

Answer: B

Explanation: The wavelength determines color. The wavelength is measured from crest to crest.

when the piston of the pump reaches its lowest point, the volume remaining in the pump is the

Answers

When the piston of a pump reaches its lowest point, the volume remaining in the pump is referred to as the residual volume.

Residual volume is the volume of fluid that remains in the pump after the maximum amount of fluid has been displaced. This residual volume can be significant in certain applications, as it can lead to incomplete delivery of fluid or inaccurate measurements.

To minimize residual volume, pump manufacturers may design pumps with low dead space volumes or use specialized mechanisms to ensure complete displacement of fluid.

To know more about residual volume , click here:-

https://brainly.com/question/12897209

#SPJ11

I’m pretty sure it’s a,h I just need a second opinion

Im pretty sure its a,h I just need a second opinion

Answers

The vectors are said to be equal if they have same magnitude as well as same direction.

In case of C and G,

The direction of both the vectors are same but the magnitude of G is more than C.

Thus, C and G are not equal vectors.

In case of E and D,

Both the vectors have opposite direction to each other and the magnitude of D is more than E.

Thus, E and D are not equal vectors.

In case of B and C,

Both the vectors have same direction but the magnitude of C is more than the magnitude of B.

Thus, B and C are not equal vectors.

In case of A and H,

Both the vectors have same direction and both the vectors cover three boxes, thus, the magnitude of the vectors is same.

Hence, A and H are equal vectors.

A child jumps on a trampoline, which of the following causes the child to rise in the air?

Answers

Answer:

Force pull the child up. With the springs and the weight when you jump.

a piece of copper of mass 20.0 g at 100.0 8c is placed in a vessel of negligible heat capacity but containing 50.7 g of water at 22.0 8c. calculate the final temperature of the water. assume that no energy is lost to the surroundings

Answers

Assuming that no energy is lost to the surroundings, the final temperature of the water is 26.4 °C.

To solve the problem, we need to use the principle of conservation of heat energy, which states that the total heat gained by a system is equal to the total heat lost.

Let us consider the two systems, copper and water.

Copper Temperature: 100.0 °C

Mass: 20.0 g

Water Temperature: 22.0 °C

Mass: 50.7 g

Let the final temperature of water be x.

Assuming that no energy is lost to the surroundings, the total heat gained by the copper and water is equal to the total heat lost by them. Q gained by copper = Q lost by water

Heat gained by copper = mass of copper x specific heat capacity of copper x change in temperature= 20 x 0.385 x (x - 100)

Heat lost by water = mass of water x specific heat capacity of water x change in temperature= 50.7 x 4.18 x (x - 22)

Therefore,20 x 0.385 x (x - 100) = 50.7 x 4.18 x (x - 22)

Solving for x, we get the final temperature of water as x = 26.4°C.

Hence, the final temperature of the water is 26.4 °C.

Note: In order to solve the question, it is important to use the correct specific heat capacity values for copper and water, which are 0.385 J/g°C and 4.18 J/g°C, respectively.

For similar question on energy.

https://brainly.com/question/25959744

#SPJ11


For this object, what color will you observe?

For this object, what color will you observe?

Answers

Answer:

blue

Explanation:

blue is the only color being reflected, meaning it's the only one that will be visible

A 2260 kg truck drives East with a constant velocity of 18 m/s. It comes to a stop after traveling 123 m. Approximately what is the normal force exerted by the road on the truck?

Answers

Approximately 5808 Newtons is the normal force exerted by the road on the truck.

To find the normal force exerted by the road on the truck, we can use the following equation:

friction force = coefficient of friction × normal force

We can also use the following kinematic equation to relate the stopping distance, initial velocity, and acceleration:

stopping distance = (initial velocity\()^2\)/ (2 × acceleration)

where the acceleration is in the opposite direction of the initial velocity (i.e., to the west).

We can solve this equation for the acceleration:

acceleration = (initial velocity\()^2\) / (2 × stopping distance)

Plugging in the given values, we get:

acceleration =\((18 m/s)^2\)/ (2 × 123 m) ≈ \(2.05 m/s^2\)

Now, we can use Newton's second law to relate the net force acting on the truck to its mass and acceleration:

net force = mass × acceleration

Since the net force is zero when the truck is moving at a constant velocity, we can set the net force equal to the force of friction when the truck comes to a stop:

force of friction = mass × acceleration

Plugging in the given values, we get:

force of friction = (2260 kg) × (2.05 m/\(s^2\)) ≈ 4646 N

Finally, we can use the equation for the friction force to solve for the normal force:

normal force = friction force/coefficient of friction

normal force = 4646 N / 0.8 ≈ 5808 N

Learn more about normal force here:

https://brainly.com/question/13340671

#SPJ11

Where does bacteria come from

Answers

Answer:

Fugis

Explanation:

dsd

Bacteria or bacterium comes from cellular mitosis, which is a duplication of single celled organisms

please fast
The system shown in the figure below uses three chain comveyors. Each chain has a hydraulic motor: The torque that drives the motors is T: =1500 N.m
1 T2 =700 Nm and, T3 = 300Nm. The displactment volume of the motors is V01 =1000 cm3/rev​ V02 =1000 cm3/rev and, V09 =500 cm3 /rex. The motss have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of the bydraulic motors 1 and 3 is internal completely and the leakage of the hydraulic motor 2 is external completely. The pump produces a constant volumetric flow rate of 6.3U/min.
The orifice of the flow control valve has a 0.5 mm diameter. The pressure fosses through the pipes are neglected. The capacity coefficient of the needie valve is 07. The volumetric Alow rate through the needle valve is given by: Q=C×A2 ×ΔF/rho where C is the capacity coefficient, A is the area of the orifice, ΔP is the difference of pressure through the needle valve and, rho is the density of the fiuid.
The density of the oil used in the hydraulic system is 860 kg/m3 . Determine the rotational speed of the motor 3 in rpm. a. 8 b. 92 c. 67 d. 42 e. 34 E. 56

Answers

The rotational speed of the motor 3 in rpm. b. 92

The figure shows a hydraulic circuit that uses three chain conveyors. The torque that drives the motors is T: =1500 N.m. T2 =700 Nm and, T3 = 300Nm.The volumetric flow rate produced by the pump is 6.3 liters per minute. The displacement volume of the motors is V01 =1000 cm3/rev. V02 =1000 cm3/rev and, V09 =500 cm3/rex.

The motors have a volumetric efficiency of 0.9 and an overall efficiency of 0.85. The leakage of hydraulic motors 1 and 3 is internal completely, while the leakage of hydraulic motor 2 is external completely.The orifice of the flow control valve has a diameter of 0.5 mm. The capacity coefficient of the needle valve is 0.7.

The pressure losses through the pipes are ignored. The volumetric flow rate through the needle valve is Q = C × A2 × ΔP / ρ where C is the capacity coefficient, A is the area of the orifice, ΔP is the pressure difference through the needle valve, and ρ is the density of the fluid. The density of the oil used in the hydraulic system is 860 kg/m3. We need to determine the rotational speed of motor 3 in rpm.

So,Let’s first determine the volumetric flow rate required by hydraulic motor 3. Using the expression of volumetric flow rate through the needle valve, we have Q = C × A2 × ΔP / ρ… (i)We are given that the capacity coefficient of the needle valve is 0.7. Its orifice diameter is 0.5 mm.

Hence, the area of the orifice is given byA2 = π d2 / 4where d is the diameter of the orifice. So, A2 = π × (0.5 mm)2 / 4 = 0.196 mm2 = 1.96 × 10-7 m2Using equation (i), we haveQ = C × A2 × ΔP / ρNow, we will calculate ΔP. To do this, we need to determine the flow rates Q1, Q2, and Q3.Let Q’ be the total volumetric flow rate through the system.

Since the overall efficiency of the system is given as 0.85, we haveQ’ = 0.85 × 6.3 l/min = 5.355 l/min = 5.355 × 10-3 m3/minWe know that the volume of fluid passing through the hydraulic motors is equal to their displacement volume multiplied by the number of revolutions per unit time.So, we haveQ1 = V01 × n1 … (ii)Q2 = V02 × n2 … (iii)Q3 = V03 × n3 … (iv)where V01, V02, and V03 are the displacement volumes of hydraulic motors 1, 2, and 3, respectively.

We are given that V01 = V02 = 1000 cm3/rev and V03 = 500 cm3/rev, which gives V01 = V02 = 1 × 10-6 m3/rev and V03 = 0.5 × 10-6 m3/rev.Substituting equations (ii), (iii), and (iv) in equation (i), we haveQ = C × A2 × (Q1 + Q2 - Q3) / ρSolving for Q3, we getQ3 = (Q1 + Q2 - Q) / C × A2 × ρPutting the given values in the above expression, we haveQ1 = V01 × n1 = (1 × 10-6 m3/rev) × n1Q2 = V02 × n2 = (1 × 10-6 m3/rev) × n2Q3 = V03 × n3 = (0.5 × 10-6 m3/rev) × n3Q = 5.355 × 10-3 m3/min = 5.355 × 10-3 / 60 m3/s = 8.925 × 10-5 m3/sA2 = 1.96 × 10-7 m2C = 0.7ρ = 860 kg/m3

Substituting the above values, we get8.925 × 10-5 = (1 × 10-6 × n1 + 1 × 10-6 × n2 - 0.5 × 10-6 × n3) / (0.7 × 1.96 × 10-7 × 860)Solving for n3, we have n3 = 91.6 rpmSo, the correct option is b. 92.

Learn more about hydraulic here,

https://brainly.com/question/857286

#SPJ11

suppose the ring rotates once every 4.20 s . if a rider's mass is 59.0 kg , with how much force does the ring push on her at the top of the ride?

Answers

The ring exerts a force on the rider at the top of the ride, which is equal to the gravitational force on the rider and is approximately 579.39 N.

The force with which the ring pushes on the rider at the top of the ride is equal to the normal force exerted by the ring on the rider, which is also equal to the gravitational force on the rider. The gravitational force on the rider can be calculated using the formula F = mg, where m is the mass of the rider and g is the acceleration due to gravity. Therefore, the force is approximately 579.39 N. At the top of the ride, the net force acting on the rider is zero, so the normal force exerted by the ring must be equal and opposite to the gravitational force. Without knowing the radius of the ring, we cannot calculate the velocity of the rider or the centripetal force. However, if the radius of the ring is very large compared to the size of the rider, then the centripetal force will be negligible, and the normal force will be approximately equal to the gravitational force.

learn more about gravitational force here:

https://brainly.com/question/12528243

#SPJ4

Explain how a doctor can use ultrasound to look at a patient’s kidneys.

Answers

Ultrasound is a non-invasive imaging technique that uses high-frequency sound waves to produce images of internal organs, including the kidneys. When a doctor wants to look at a patient's kidneys, they will use an ultrasound machine to send sound waves into the body. These sound waves bounce off the kidneys and other internal structures and create echoes that are detected by the machine. The echoes are then used to create an image of the kidneys, which the doctor can use to assess their size, shape, and function. This can help the doctor diagnose kidney diseases, such as kidney stones, tumors, or cysts, as well as monitor the progression of chronic kidney disease. Ultrasound is a safe, painless, and non-invasive method for assessing kidney health, making it a valuable tool for doctors and patients alike.
Hi! A doctor can use ultrasound to look at a patient's kidneys by performing a renal ultrasound. The process involves placing a transducer, which emits high-frequency sound waves, on the patient's abdomen near the kidney area. These sound waves pass through the body, and when they hit the kidneys, they create echoes. The transducer then picks up the returning echoes, and a computer converts them into a real-time visual image of the kidneys. This non-invasive procedure helps doctors assess kidney size, shape, and location, as well as detect any abnormalities, such as cysts or stones, without exposing the patient to radiation.

To know more about Ultrasound visit

https://brainly.com/question/31609447

#SPJ11

a toy airplane takes off and flies for a distance of 34 meters at an angle of 26 degrees above the horizontal. what is its altitude when it has flown this distance?

Answers

Answer:

Explanation:

14.9m

a toy airplane takes off and flies for a distance of 34 meters at an angle of 26 degrees above the horizontal.

The altitude when the airplane flies a distance of 34 m is equal to 14.9 m.

What is the distance?

The distance of an object can be demonstrated as the total length traveled by an object. The distance can be defined as a scalar parameter as it has magnitude, not direction. The distance by an object is always positive (+ve), it can never be zero.

Given, the airplane traveled the distance, BC = 34m as shown in the attached diagram, below:

The angle of the path with horizontal, θ = 26°

From the right angle triangle ΔCBA, we can calculate the BC:

Sin θ = BC/AC

Sin 26° = x/34

x = sin 26° ×34

x = 0.438 × 34

x = 14.9 m

Therefore, the altitude when an airplane has flown this distance is 14.9 m.

Learn more about distance, here:

brainly.com/question/3243551

#SPJ2

A cyclist going around a circular track at 10.0 m/sm/s has a centripetal acceleration of 5.00 m/s2m/s2 . What is the radius of the curve

Answers

A cyclist going around a circular track at 10.0 m/s^2 has a centripetal acceleration of 5.00 m/s2m/s2 .The radius of the curve is 20.0 meters.

To find the radius of the curve, we can use the formula for centripetal acceleration:

a = (v^2) / r

Where:

a is the centripetal acceleration (given as 5.00 m/s^2)

v is the velocity of the cyclist (given as 10.0 m/s)

r is the radius of the curve (unknown)

Rearranging the formula to solve for r, we have:

r = (v^2) / a

Plugging in the given values:

v = 10.0 m/s

a = 5.00 m/s^2

r = (10.0^2) / 5.00

Calculating the expression:

r = 100 / 5.00

r = 20.0 meters

Therefore, the radius of the curve is 20.0 meters.

To learn more about centripetal acceleration:  visit: https://brainly.com/question/79801

#SPJ11

2x+3y=10 answer must be in decimals

Answers

X=2 and y=2
2*2+3*2=10

As you go farther down the periodic table, the atoms get _______ and more ________.

Answers

Answer:

As we navigate down a group the atoms get bigger and bigger with more and more electrons. This means the outermost electrons get further and further away from the positively charged nucleus.

Answer:

As we navigate down a group the atoms get bigger and bigger with more and more electrons. This means the outermost electrons get further and further away from the positively charged nucleus

Hope this helps!!!!

Calculate the distance and azimuth between point A and point B

Point A latitude 29° 38’ 00"N and longitude 82° 21’ 00"W

Point B latitude 44° 59’ 00"N and longitude 93° 16’ 00"W

Note: Azimuth in clockwise

Compute for the spherical triangle Point A-North Pole-Point B

Answers

The forward azimuth from point A to point B is approximately 151.3421° (clockwise).

The distance and azimuth between point A and point B is found by computing for the spherical triangle Point A-North Pole-Point B.Given are the coordinates of point A and point B.

Point A latitude 29° 38’ 00"N and longitude 82° 21’ 00"WPoint B latitude 44° 59’ 00"N and longitude 93° 16’ 00"W1.

Compute for the difference in longitude between points A and BΔL = LB - LA= 93° 16’ 00"W - 82° 21’ 00"W= 10° 55’ 00" W2. Convert the longitude difference from degree, minute, second (DMS) to degreesΔL = 10 + 55/60° = 10.9167°3.

Convert the latitude of point A to degreesLA = 29 + 38/60° = 29.6333°4. Convert the latitude of point B to degreesLB = 44 + 59/60° = 44.9833°5. Convert the latitudes from degrees to radiansLA = 29.6333° × π/180 = 0.5178 radLB = 44.9833° × π/180 = 0.7855 rad6. Compute for the difference in latitudeΔ = LB - LA= 0.7855 rad - 0.5178 rad= 0.2677 rad7.

Compute for the central angle between point A and point B using the spherical law of cosinescos c = cos a cos b + sin a sin b cos C where a = π/2 - LA = 1.0525 rad b = π/2 - LB = 0.7855 radC = ΔL = 10.9167° × π/180 = 0.1903 rad cos c = cos 1.0525 cos 0.7855 + sin 1.0525 sin 0.7855 cos 0.1903= 0.4291.

The central angle c = cos⁻¹ 0.4291 = 1.1223 rad8. Compute for the distance using the great circle distance formula d = r c where r is the radius of the Earth (mean or equatorial), which is approximately 6,371 km.d = 6,371 km × 1.1223 rad= 7,163 km.

Therefore, the distance between point A and point B is approximately 7,163 km.9. Compute for the azimuth (forward azimuth) using the forward azimuth formula,sin a = sin b cos C / sin cos A = (sin b sin c - sin a cos b) / cos c.

where a = azimuth of point B relative to point A= 90° - A = 90° - 63.7479° = 26.2521°b = azimuth of point A relative to point B= 90° - B = 90° - 54.2385° = 35.7615°C = ΔL = 10.9167° × π/180 = 0.1903 radc = 1.1223 radsin a = sin 35.7615 cos 0.1903 / sin 1.1223= 0.5274cos A = (sin 35.7615 sin 1.1223 - sin 0.1903 cos 35.7615) / cos 1.1223= - 0.8875A = cos⁻¹ (- 0.8875) = 151.3421°.

Therefore, the forward azimuth from point A to point B is approximately 151.3421° (clockwise).

to learn more about azimuth.

https://brainly.com/question/30692659

#SPJ11

The forward azimuth from point A to point B is approximately 151.3421° (clockwise).

The distance and azimuth between point A and point B is found by computing for the spherical triangle Point A-North Pole-Point B.Given are the coordinates of point A and point B.

Point A latitude 29° 38’ 00"N and longitude 82° 21’ 00"WPoint B latitude 44° 59’ 00"N and longitude 93° 16’ 00"W1.

Compute for the difference in longitude between points A and BΔL = LB - LA= 93° 16’ 00"W - 82° 21’ 00"W= 10° 55’ 00" W2. Convert the longitude difference from degree, minute, second (DMS) to degreesΔL = 10 + 55/60° = 10.9167°3.

Convert the latitude of point A to degreesLA = 29 + 38/60° = 29.6333°4. Convert the latitude of point B to degreesLB = 44 + 59/60° = 44.9833°5. Convert the latitudes from degrees to radiansLA = 29.6333° × π/180 = 0.5178 radLB = 44.9833° × π/180 = 0.7855 rad6. Compute for the difference in latitudeΔ = LB - LA= 0.7855 rad - 0.5178 rad= 0.2677 rad7.

Compute for the central angle between point A and point B using the spherical law of cosinescos c = cos a cos b + sin a sin b cos C where a = π/2 - LA = 1.0525 rad b = π/2 - LB = 0.7855 radC = ΔL = 10.9167° × π/180 = 0.1903 rad cos c = cos 1.0525 cos 0.7855 + sin 1.0525 sin 0.7855 cos 0.1903= 0.4291.

The central angle c = cos⁻¹ 0.4291 = 1.1223 rad8. Compute for the distance using the great circle distance formula d = r c where r is the radius of the Earth (mean or equatorial), which is approximately 6,371 km.d = 6,371 km × 1.1223 rad= 7,163 km.

Therefore, the distance between point A and point B is approximately 7,163 km.9. Compute for the azimuth (forward azimuth) using the forward azimuth formula,sin a = sin b cos C / sin cos A = (sin b sin c - sin a cos b) / cos c.

where a = azimuth of point B relative to point A= 90° - A = 90° - 63.7479° = 26.2521°b = azimuth of point A relative to point B= 90° - B = 90° - 54.2385° = 35.7615°C = ΔL = 10.9167° × π/180 = 0.1903 radc = 1.1223 radsin a = sin 35.7615 cos 0.1903 / sin 1.1223= 0.5274cos A = (sin 35.7615 sin 1.1223 - sin 0.1903 cos 35.7615) / cos 1.1223= - 0.8875A = cos⁻¹ (- 0.8875) = 151.3421°.

Therefore, the forward azimuth from point A to point B is approximately 151.3421° (clockwise).

to learn more about azimuth.

brainly.com/question/30692659

#SPJ11

which si unit whould be most appropriate for describing the length of a shoe?
0.kilometers
0.milimeters
0.milliliters
0.kilomgrams

can u asnswer fast im with my teacher plz

Answers

Answer:

Milimeters

Explanation:

This kind of question must be checked with everyday elements, in this way we will analyze each of the options until we reach the appropriate:

kilograms can not be because this unit serves to measure the mass not the length.

kilometers (km) is a unit of length, but however it does not serve for this measurement since a km is equivalent to 1000 meters, therefore measuring the length of a shoe with a ruler measuring 1000 meters is very impractical.

milliliters is a unit of volume, and can often be found in the measurement of volume content of liquids, for example 700 milliliters of milk or 1000 milliliters of water. Therefore it is impractical to measure a shoe with a unit of volume.

In this way the way to measure a shoe correctly is using a ruler or measuring instrument graduated in millimeters.

Answer:millimeters

Explanation:it the only way to measure something that has width length weight height and more stuff like that not the only way but the most easiest

Calculate the moment of inertia of the steel plate of mass m = 550 g in the figure (Figure 1) for rotation about a perpendicular axis passing through the origin. Hint: Divide the triangle into small squares of area dxdy, find the moment of inertia of a square at (x, y), then figure out how to integrate this over the triangle.

Answers

To calculate the moment of inertia of the steel plate, we need to use the formula, Once you have the limits of integration for your specific triangle, you can calculate the moment of inertia.


I = ∫∫(r² * dm)
Where I is the moment of inertia, r is the perpendicular distance of a small element of mass dm from the axis of rotation, and dm is the mass of that small element.
First, we need to divide the triangle into small squares of area dxdy. Let's assume that the side length of each square is dx. Then the mass of each square is:
dm = density * volume
  = density * dxdy * thickness
  = density * dx² * thickness
Since the density of steel is approximately 7.8 g/cm³ and the thickness of the plate is not given, we cannot calculate the value of density. However, we know that the mass of the plate is m = 550 g, so we can use this value to find the mass of each square:
dm = m / (total number of squares)
Now, let's consider a square located at (x, y) with side length dx. The perpendicular distance of this square from the axis of rotation passing through the origin is:
r = √(x² + y²)
Therefore, the moment of inertia of this small square is:
dI = r² * dm
  = r² * (m / total number of squares)


To find the total moment of inertia of the plate, we need to integrate this expression over the entire triangle. The limits of integration are:
0 ≤ x ≤ base of triangle
0 ≤ y ≤ height of triangle at x
So, the moment of inertia of the steel plate is:
I = ∫∫(r² * dm)
 = ∫∫(r² * (m / total number of squares))
 = ∫₀ˡⁿ∫₀ʰⁿ(√(x² + y²)² * (m / total number of squares))dxdy
Note that the limits of integration depend on the shape of the triangle, which is not given in the question. You need to substitute the appropriate values for the base and height of the triangle in the above expression.

1. Convert mass to kg: m = 550 g = 0.55 kg.
2. Divide the triangle into small squares of area dA = dxdy.
3. Find the moment of inertia of a square at (x, y): dI = dm * r^2, where dm = (mass per unit area) * dA and r is the distance from the axis.
4. To find mass per unit area, first find the area of the triangle. Let's assume the base is b and the height is h. The area of the triangle is A = (1/2) * b * h.
5. Calculate mass per unit area: ρ = m / A.
6. Now, find dm: dm = ρ * dA = ρ * dxdy.
7. Determine r^2 as the sum of x^2 and y^2, since it's the distance from the origin: r^2 = x^2 + y^2.
8. Plug r^2 and dm into the dI equation: dI = dm * r^2 = (ρ * dxdy) * (x^2 + y^2).
9. Integrate dI over the triangle to get the total moment of inertia. Perform a double integral: I = ∫∫ (ρ * (x^2 + y^2) * dxdy), with limits depending on the dimensions of the triangle.

Visit here to learn more about moment of inertia:

brainly.com/question/15246709
#SPJ11

Which formula for net force contains an error?

A) \(F_{net} =\) Δv/Δt
B) \(F_{net} =\) mΔv/Δt
C) \(F_{net} =\) ma
D) \(F_{net} =\) Δp/Δt

Answers

Answer:

A) lacks the mass of the object

Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped

Answers

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

To know more about damping ratios, refer here:

https://brainly.com/question/31463018#

#SPJ11

Which phenomenon is a result of the gravitational force of the Sun?
O rotation of the planets on their axes
O rotation of the Moon on its axis
O revolution of the Moon around Earth
O revolution of the planets around the Sun

Which phenomenon is a result of the gravitational force of the Sun?O rotation of the planets on their

Answers

Answer:

revolution of the planets around the Sun.

Explanation:

The revolution of the planets around the Sun is a result of the gravitational force exerted by the Sun. The Sun's gravitational pull attracts the planets, causing them to move in an elliptical orbit around it. This motion is known as the revolution of the planets around the Sun. The other options listed (rotation of the planets on their axes, rotation of the Moon on its axis, and revolution of the Moon around Earth) are also related to motion and gravity, but they are different phenomena.

What is the intensity of a sound wave?

Answers

Acoustic power, also known as sound intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area.

More on sound wave

A sound wave is a type of energy that propagates in a medium by adiabatic charging and discharging. Important quantities for describing sound waves are sound pressure, particle velocity, particle displacement, and sound intensity.

Sound waves can be classified into three categories:

Longitudinal waves, mechanical waves, pressure waves.

Learn more about sound wave here:

https://brainly.com/question/1199084

#SPJ1


Iron nail sinks in water while a ship made of iron-steel floats in it. Why ?

Answers

Answer:

because the density of iron nail is more tha n density of water but the density of ship made iron steel is less than the density of water

mercury has a density of 13.56g/cm^3 and lead has a density of 11.36g/cm^3. which would have a greater volume, 5g of mercury or 5g of lead

Answers

Answer:

first density=mass/volume

For volume of mercury,13.56=5*v

or v =5/13.56=0.68 cm cube

for volume of lead 11.36=5*v

or v=5/11.36=0.44

volume of mercury is 0.68 and that of lead is 0.44 so mercury has greater volume

Mercury has a density of 13.56g/cm^3 and lead has a density of 11.36g/cm^3. then between 5g of mercury and 5g of lead, the 5 g of lead would have a greater volume

What is density?

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

The density of the fluids is used to compare them with others for their relative applications in our day-to-day life such as petrol, diesel kerosene, etc.

formula for density

ρ = mass / volume

As given in the problem mercury has a density of 13.56g/cm^3 and lead has a density of 11.36g/cm^3. for the same amount of mass, the substance that has less density will occupy greater volume, therefore lead has a greater volume than that gold.

Thus, 5g of lead would have a greater volume because it has less density than that of gold.

Learn more about density from here

brainly.com/question/15164682

#SPJ2

The largest grand piano in the world is really grand. Built in London, it has a mass of 1,152 kg. Suppose a pianist finishes playing this piano and pushes herself from the piano so that she rolls backwards with a speed of 1.5 m/s. Meanwhile, the piano rolls forward with a constant velocity of 0.06 m/s. Assuming the stool that the pianist is sitting on has a negligible mass, what is the pianist’s mass? Round to the hundredths.

Answers

ANSWER:

46.08 kg

STEP-BY-STEP EXPLANATION:

Given

m1 = 1152 kg

v1 = 0.06 m/s

v2 = -1.5 m/s

We apply law of conservation of linear momentum:

\(\begin{gathered} P_i=P_f \\ P_i=0 \\ P_f=m_1\cdot V_1+m_2\cdot V_2 \end{gathered}\)

We plug in and calculate for the mass, just like this:

\(\begin{gathered} 0_{}=m_1\cdot V_1+m_2\cdot V_2 \\ 0=1152\cdot0.06+m_2\cdot-1.5 \\ -1.5m_2=-69.12 \\ m_2=\frac{-69.12}{-1.5} \\ m_2=46.08\text{ kg} \end{gathered}\)

Which means that the mass of the pianist is 46.08 kg

Which equation states Newton’s second law?
A. m= F/a
B. m= a/F
C. m= Fa
D. m= Fa/2

Answers

A…..A…….a……the answer is A

In hydraulic machine, how can you lift heavier load by using small magnitude of force?‍

Answers

Hello, yes it is possible to lift heavier load using small magnitude of force.

How? let's see.

Do you know on which principle does hydraulic machine work? Yes, it's Pascal's Principle. So in order to understand how hydraulic machine will lift heavier weight using small magnitude of force we will have to take a look at Pascal's law.

Pascal's law : It sates that in a closed container filled with fluid when pressure is applied to any point that intensity of pressure transfers in all direction equally.

Now look at diagram,

Consider the left piston as X and Right Piston as Y.

the area of piston X is small (A1) and applied force (F1) is also less and the resultant pressure is P.

\(P = \frac{F_1}{A_1}\)

This same amount of pressure will be exerted at Piston Y having area (A2) and resultant output force (F2)

\(P = \frac{F_2}{A_2}\)

So consider I have 5 N force and I have to lift a heavier rock weighing 50 N. take an example the area of Piston X is 1 m² & area of piston Y is 10 m²

So when I will apply 5 N force on piston X it will exert 50 N force on piston Y.

\( \small \sf \: Thanks \: for \: joining \: brainly \: community!\)

In hydraulic machine, how can you lift heavier load by using small magnitude of force?
Other Questions
10. Her style was imitated by many well-known artists. how to make friends?? the printing of classics from antiquity spurred interest in ancient greek and roman culture. the fusion of the medieval with the classical became a catalyst for the creation of the modern world. What is the value of the variable result after these lines of code are executed?>>> a = 3>>> b= 2>>> c=0>>> result = a* b-c* bThe value of result isPLEASE HELP Explain in a PEE paragraph how The French and Indian War resulted in an American War of Independence? the great gatsby chapter 6 title CivilizatiorWhich of the following was a reason many in Southeast Asia converted to Islam?A) converts were offered social advantagesB) governments threatened military action against those who did not. C) citizens were banned from all political activity if they did not convert.D) converts were offered forgiveness of all debts. 2. How many protons are present in the oxygen atom? *O A. 24O B.16O C.8O 0.4 What do you mean by ideals? Solve for x. Round your answer to the nearest tenth.4.8 in7.4 in In 35 sentences, evaluate the inequality of Japanese Americans in the United States aftecompared to their white neighbors. Choose 1-2 factors to discuss. To save on electricity, one would want to install a _____ roof if he or she lived in a hot environment.Please choose the correct answer from the following choices, and then select the submit answer button.Answer choicestransparentheat-exchangelight-coloreddark I need help with this question, plsssssssss A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree. How to get y and z please help I really need this define chemistry using a poem Kepler's work revealed that the Earth was at the center of the circular orbits of the planets at the center of the elliptical orbits of the planets orbiting the Sun in an elliptical orbit O at one focus of the elliptical orbit of the planets How the American revolution began Determine whether the polygons with the given vertices are congruent or similar. Use transformations to explain your reasoning. a. Q(2, 4), R(5, 4), S(6, 2), T(1, 2) and W(6, -12), X(15, -12), Y(18, -6), Z(3, -6) b. A(-6, 6), B(-6, 2), C(-2, -4) and D(9, 7), E(5, 7), F(-1, 3) What is the multiplicative inverse of 0.03