Answer:
\(\boxed {\boxed {\sf 7526.4 \ J}}\)
Explanation:
Gravitational potential energy is energy due to position above the ground. It is found using the following formula.
\(GPE= mgh\)
where m is the mass, g is the acceleration due to gravity, and h is the height.
The cart is 32 kilograms and it is on a 24 meter hill. Assuming this is on earth, the acceleration due to gravity is 9.8 meters per square second.
\(m= 32 \ kg \\g= 9.8 \ m/s^2 \\h= 24 \ m\)
Substitute the values into the formula.
\(GPE= (32 \ kg)(9.8 \ m/s^2)(24 \ m)\)
Multiply the first two numbers.
\(GPE=313.6 \ kg*m/s^2 (24 \ m)\)
Multiply again.
\(GPE= 7526.4 \ kg*m^2/s^2\)
1 kg*m²/s² is equal to 1 Joule. Our answer is also 7526.4 Joules.\(GPE= 7526.4 \ J\)
The cart's gravitational potential energy is 7526.4 Joules.
What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to 3 significant
figures
0 2.790 J
5,580 J
025,100 J
050,200 J
Answer:
I think C
Explanation:
kinetic energy formula: 1/2mv^2
1/2(620kg)(9m/s)^2
1/2(620kg)(81m/s)
1/2(50220)
KE = 25110 J
a train on a straight, level track rolls to a smooth stop over the course of several minutes. which best describes the forces acting on the train?
When a train rolls to a smooth stop on a straight, level track, several forces come into play. The primary force responsible for the train's deceleration is the friction force between the train's wheels and the track.
Additionally, there are other forces acting on the train, such as air resistance and internal resistance within the train's components.
When the train is in motion, it possesses kinetic energy due to its velocity. As the train's operator applies the brakes, the friction force between the train's wheels and the track comes into play.
This friction force opposes the motion of the train, resulting in deceleration. The amount of friction depends on factors like the coefficient of friction between the wheels and the track, the weight of the train, and the braking force applied.
In addition to the friction force, air resistance acts on the train as it moves through the air. Air resistance increases with the train's velocity and opposes its motion, making it harder for the train to maintain its speed. As the train slows down, the force of air resistance decreases.
Furthermore, there may be internal resistance within the train's components, such as mechanical friction in the engine, transmission, and braking system. These internal forces also contribute to the overall deceleration of the train.
In conclusion, when a train comes to a smooth stop on a straight, level track, the primary force responsible for its deceleration is the friction force between the wheels and the track. Air resistance and internal resistance within the train's components also play a role in slowing it down.
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the momentum of a 2 kg block moving at 3 m/s to the right is
Answer:
6kgm/s
Explanation:
Given parameters:
Mass of block = 2kg
Velocity = 3m/s
Unknown:
Momentum = ?
Solution:
Momentum is the amount of velocity a body possess. It is a vector quantity.
Momentum = mass x velocity
Now insert the parameters and solve;
Momentum = 2 x 3 = 6kgm/s
Light traveling in air is incident on the surface of a block of plastic at an angle of
62. 7° to the normal and is bent so that it makes a 48. 1° angle with the normal in the
plastic. Find the speed of light in the plastic.
Note: Your answer is assumed to be reduced to the highest power possible.
Light traveling in air is incident on the surface of a block of plastic at an angle of 62. 7° to the normal and is bent so that it makes a 48. 1° angle with the normal in the plastic.
Assuming the block of plastic is surrounded by air, we can use Snell's law to relate the incident angle to the refracted angle.
n1 sinθ1 = n2 sinθ2
Where n1 is the index of refraction of air (approximately 1), θ1 is the incident angle, n2 is the index of refraction of the plastic, and θ2 is the refracted angle.
Rearranging the equation, we get
n2 = n1 sinθ1 / sinθ2
By putting these values given, we get
n2 = sin(62.7°) / sin(48.1°)
n2 = 1.456
This means that the speed of light in the plastic is
v2 = c/n2
Where c is the speed of light in a vacuum (approximately 3x\(10^{8}\) m/s).
By putting these values, we get
v2 = 3x\(10^{8}\) m/s / 1.456
v2 = 2.06x\(10^{8}\) m/s
Hence, the speed of light in the plastic is approximately 2.06x\(10^{8}\) m/s.
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Which sequence lists types of materials in order from least conductive to most conductive?
-superconductor conductor semiconductor insulator
-insulator conductor semiconductor superconductor
-conductor superconductor semiconductor insulator
-insulator semiconductor conductor superconductor
Answer:
D). Insulator —> semiconductor —> conductor—> superconductor
Explanation:
The sequence list of types of materials in order from least conducive to the most conductive is: the insulator, semiconductor, conductor, and superconductor. Conductors are materials where electric current can flow freely; whereas, in insulators, electric current cannot. Examples of conductors are metals and water. Examples of insulators are plastics, papers, and rubbers.
Answer:
ya its D
Explanation:
A girl is travelling on her bike at a speed 2.54 m/s. If the girl and her bike have a kinetic energy of 193 J, what is the combined mass of the girl and her bike? Show all your work.
Answer:
About 59.83 kg
Explanation:
The formula for kinetic energy is \(KE = \frac{1}{2}mV^2\), where KE = Kinetic Energy in Joules (J), m = mass in kilograms (kg), and V = Velocity in meters per second (m/s).
In this problem, we are given the Kinetic Energy amount as 193 Joules and the Velocity as 2.54 m/s. Let's plug it into our equation
\(193 = \frac{1}{2} * 2.54^2m\)Now, let's solve this equation.
Step 1: Simplify both sides of the equation.
\(193 = 0.5 * 2.54 * 2.54 * m\) \(193=3.2258m\)Step 2: Divide both sides by 3.2258.
\(193/3.2258 = 3.2258m/3.2258\) m ≈ 59.830 kilogramswhere would information on the chemical and physical properties of a specific chemical be located in a laboratory or in the workplace?
Answer:
Both
Explanation:
a) calculate the total power density in the reflected plane wave relative to that of the incident plane wave.
The total power density in the reflected plane wave relative to the incident plane wave can be calculated by squaring the reflection coefficient (R^2) and multiplying it by the power density of the incident plane wave.
How can the total power density in the reflected plane wave?To calculate the total power density in the reflected plane wave relative to that of the incident plane wave, we need to consider the reflection coefficient. The power density of a plane wave is proportional to the square of its electric field amplitude.
The reflection coefficient (R) represents the ratio of the reflected wave's electric field amplitude to the incident wave's electric field amplitude. The total power density in the reflected plane wave can be calculated by squaring the reflection coefficient (R^2) and multiplying it by the power density of the incident plane wave.
Therefore, the total power density in the reflected plane wave relative to the incident plane wave is given by (R^2) times the power density of the incident plane wave. The value of the reflection coefficient depends on the specific characteristics of the reflecting surface and the incident wave.
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When fabricating a 90°-bend, the distance to the bending mark is equal to? Select one: a. The height of the desired stub-up b. The stub-up minus the take-up c. The take-up minus the stub-up d. The leg length plus the stub length
The distance to the bending mark when fabricating a 90°-bend is equal to the stub-up minus the take-up. Therefore, the correct answer is option b.
When bending a conduit or pipe to create a 90° angle, the bending mark represents the point at which the bend starts. The stub-up is the length of the conduit that extends vertically from the bottom of the bend to the end of the conduit. The take-up is a measurement that accounts for the additional length of the conduit that is consumed during the bending process.
To find the distance to the bending mark, you need to subtract the take-up from the desired stub-up length. This will give you the correct position to mark on the conduit before starting the bending process. Following this guideline will help ensure that your 90°-bend will be accurate and meet the required specifications.
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Which of the following describes the rate at which work is done?
Force
Energy
Power
Impulse
Answer:
power
Explanation:
help me please i dont understand
Answer:
It is b
Explanation:
The question tells you that the distance was increased 3 times the original distance, which means it was moved 3 times
A jet plane at take-off can produce sound of intensity What is the closest distance you should live from the airport runway to preserve your peace of mind? 10.0 W/m2 at 31.0 m away. But you prefer the Express your answer in kilometers. tranquil sound of normal conversation, which is 1.0 μW/m2. Assume that the plane behaves like a point source of sound. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of The inverse-square law. What intensity from the jet does your friend experience if she lives twice as far from the runway as you do? Express your answer in watts per meter squared. What power of sound does the jet produce at take-off? Express your answer in watts.
The closest distance you should live from the airport runway to preserve your peace of mind is approximately 2.51 kilometers. This distance is determined by the inverse-square law, which governs the decrease in sound intensity as the distance from the source increases
The sound intensity follows the inverse-square law, which states that the intensity decreases as the square of the distance from the source increases. In this case, we are given that the intensity of the jet plane at take-off is 10.0 W/\(m^2\) at a distance of 31.0 m away.
To find the distance that would result in a tranquil sound of normal conversation, which is 1.0 μW/\(m^2,\) we can set up an inverse-square proportion.
Using the formula for the inverse-square law:
I1 / I2 =\((r2 / r1)^2\)
where I1 and I2 are the intensities at distances r1 and r2 respectively, we can rearrange the formula to solve for the desired distance.
(1.0 μW/\(m^2\)) / (10.0 W/\(m^2\)) =\((31.0 m / x)^2\)
Simplifying the equation, we get:
x = sqrt(\((31.0 m)^2\) * (10.0 W/\(m^2\)) / (1.0 μW/\(m^2\)))
Converting the units, we find that x is approximately equal to 2.51 kilometers. Therefore, to preserve your peace of mind and experience a tranquil sound of normal conversation, it is recommended to live approximately 2.51 kilometers away from the airport runway.
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Why concave lens is called diverging lens
When a parallel beam of light passes through a convex lens, the rays become farther from one another when the come out. This process of rays is called ''to diverge''. The concave lens makes rays of light diverge, so it is called diverging lens.
A 104.328-kg baserunner slides into home base. He starts his slide moving at 8.451 m/s and 6.596 m from home base; when he crosses home plate he is moving at 2.322 m/s. What is the coefficient of kinetic friction between the baserunner and the ground?
The coefficient of kinetic friction between the baserunner and the ground is 0.51.
Coefficient of kinetic friction
The coefficient of kinetic friction between the base runner and the ground is calculated as follows;
μ = a/g
where;
a is accelerationg is gravityv² = u² + 2as
a = (v² - u²)/(2s)
a = (8.451² - 2.322²)/(2 x 6.596)
a = 5 m/s²
μ = 5/9.8
μ = 0.51
Thus, the coefficient of kinetic friction between the baserunner and the ground is 0.51.
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Four glass contain water in which tank is the pressure of the water on the base greatest
The height of the water column above the base and the density of the water dictate how much pressure the water exerts on the base of the glass container. The weight of the water .
above it divided by the area of the container's base gives the pressure at any given depth. The glass container with the greatest pressure on the base is the one with the highest height of water column above the base, assuming that the base areas and water densities of all four glass containers are the same. As a result, the tank with the highest water level would also have the highest water pressure on the foundation. How much pressure the water puts on the base of the glass container depends on the height of the water column above it and the water's density. water's weight in pounds.
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A piece of metal of ma 50g heated to 100degree i dropped into 200g of water at 14 degree in copper calorimeter weighing 80g and raie the temperature to 70degree what i the pecific heat capacity of the metal
The specific heat capacity of the metal is 32427.7 J/kg/°C if the mass of a metal is 50 gm.
The specific heat capacity of a substance is the heat required to increase the temperature of the substance of unit mass by one degree. Its SI unit is J/kg/°C.
Mass of the metal= 50 g= 0.05 kg
Temperature of the metal = 100°C
Mass of the water = 200 g = 0.2 kg
Mass of the calorimeter = 80 g =0.08 kg
Temperature of the calorimeter and water combined= 14°C
Equilibrium temperature = 70°C
Specific heat capacity of the copper = 390 J/kg/°C
Specific heat capacity of the water = 4187 J/kg/°C
Heat lost by the metal = heat absorbed by the water and calorimeter
0.05×S×(100-70) = (0.2×4187+0.08+390) × (70-14)
1.5×S = 48641.6
S= 32427.73 J/Kg/°C
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PLZ NEED ANS ASAP research on the principle behind how these huge ships are able to float on water. Does salt or fresh water make a difference? I WILL GIVE BRAINLIEST
Answer:
Since the density of salt water is higher than that of fresh water.
Explanation:
Less salt water will be displaces and the ship will float higher.
Hi I don’t understand question and can really use some help! :D
Given
Mass of one of the object is doubled and the distance between the object is doubled.
To find
What happens to the gravitational force
Explanation
The gravitational force is directly proportional to the masses and inversely proportional to the distance between them
Keeping all other parameters constant,
\(F\propto\frac{m}{d^2}\)So when the mass doubles and the distance doubles we have,
\(\begin{gathered} F^{\prime}\propto\frac{2m}{(2d)^2} \\ \Rightarrow F\propto\frac{m}{2d}=\frac{F}{2} \end{gathered}\)Conclusion
A. The gravitational force becomes half as great.
In 4 s a bicycle travels 2 m, what is it’s a stage speed in meters per second?
Answer:
Its stage is 0.5 meters per second
Explanation:
This is because 2 divided by 4 equals 0.5
Which best describes the runners? Garreth and Elisa ran the same distance but not the same displacement, Luigi and Jasmine went the same displacement, and Logan ran faster than Jasmine. Garreth ran farther than Luigi, Elisa and Jasmine went the same distance, and Logan and Jasmine has the same displacement in the opposite direction. Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction. Garreth ran less than Logan, Elisa and Jasmine went the same displacement, and Luigi and Garreth ran together.
Answer:
The anwser is C, Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
Explanation:
i just took the test and got 100%
Answer:
C or Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.
Explanation:
1. An airplane flies with a constant speed of 720 km/h. How long will it take to travel a distance of 1500
kilometers?
Answer:
\(125\:\mathrm{minutes\: or\: }2.08\bar{3}\: \mathrm{hours}\)
Explanation:
Speed is given by \(s=\frac{d}{t}\), where \(d\) is distance travelled and \(t\) is time. Rearranging this equation, we have \(t=\frac{d}{s}\).
Plugging in our given information:
\(t=\frac{d}{s}=\frac{1500\:\mathrm{km}}{720\:\mathrm{km/h}}=2.08\bar{3}\: \mathrm{hours}\)
Thus, our answer is:
\(2.08\bar{3}\: \mathrm{hours}\cdot \frac{60\:\mathrm{minutes}}{1\:\mathrm{hour}}=\fbox{$125\:\mathrm{minutes}$}\)
the function of _____ is to convert digital signals to analog signals and vice-versa.a) Modems b) Multiplexers c) Front-end processors d) Servers e) Clients
Modem is a device that can convert digital signals to analog signals.
What is modem?A modem is a hardware or application that allows a computer to send data across telephone or cable lines. Computer information is stored digitally, whereas telephone information is delivered in the form of analog waves. A modem is a device that transforms between these two formats.
A data converter, in general, is a device that transforms analog signals to digital data or vice versa. ADC refers to devices that convert analog signals to digital signals. DACs are devices that convert digital signals to analog signals.
The analog signal is sampled by the Analog to Digital Converter on each falling or rising edge of the sample clock. The ADC receives the analog signal, measures it, and transforms it to a digital value in each cycle.
Here,
A modem is a device that converts digital to analog signals.
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Inside most ball-point pens is a small spring that compresses as the pen is pressed against the paper. If a force of 0.1 N compresses the pen's spring a distance of 0.005 m, what is the spring constant of the tiny spring?
Answer:
20 N/m
Explanation:
From the question,
The ball-point pen obays hook's law.
From hook's law,
F = ke............................ Equation 1
Where F = Force, k = spring constant, e = compression.
Make k the subject of the equation
k = F/e........................ Equation 2
Given: F = 0.1 N, e = 0.005 m.
Substitute these values into equation 2
k = 0.1/0.005
k = 20 N/m.
Hence the spring constant of the tiny spring is 20 N/m
Martha is viewing a distant mountain with a telescope that has a 120-cm-focal-length objective lens and an eyepiece with a 2.0cm focal length. She sees a bird that's 60m distant and wants to observe it. To do so, she has to refocus the telescope. By how far and in which direction (toward or away from the objective) must she move the eyepiece in order to focus on the bird?
If Martha has to refocus the telescope, she must move the eyepiece 121.17 cm away from the objective lens in order to focus on the bird
The distance between the objective lens and the eyepiece lens is the sum of their focal lengths, i.e., f = f_obj + f_eyepiece = 120 cm + 2.0 cm = 122 cm.
Using the thin lens equation, 1/f = 1/do + 1/di, where do is the object distance and di is the image distance, we can relate the object distance to the image distance formed by the telescope.
When the telescope is initially focused for distant objects, Martha can assume that the image distance di is at infinity. Therefore, we have:
1/122 cm = 1/60 m + 1/di
Solving for di, we get di = 123.17 cm.
To refocus the telescope on the bird, the eyepiece needs to be moved so that the image distance changes from infinity to 123.17 cm. This means that the eyepiece needs to move by a distance equal to the difference between the current image distance (infinity) and the desired image distance (123.17 cm), which is:
Δd = di - f_eyepiece = 123.17 cm - 2.0 cm = 121.17 cm
So Martha needs to move the eyepiece 121.17 cm away from the objective lens (i.e., toward the eyepiece).
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Tom drives on a highway and never changes his speed for the whole journey. He drives for 300 miles and it takes him 5 hours. What is Tom's speed on the highway?
Answer:
QESARDFRGTSRTATFREVERSRvrvqwqv
Explanation:
vfqfvcafbraf w rfdsd AEWvd a
What happend to the space pod in missing seconds?
Answer:
From our investigation of what forces are like in a collision, we learned that when two
objects collide, a force is exerted on each object. The two forces are in opposite
directions but the same strength. This allowed us to infer that an equal strength force
was exerted on the space station and the pod, but in opposite directions.
As a result, the space station and the pod are moving in opposite directions. We need to
learn more about the effects of collisions on each object’s motion so we can report back
to Dr. Gonzales at the space agency.
You will use physical materials to gather data about
forces in a collision. You will also notice how objects
are affected by collisions. Students will use their
data to infer the force direction for objects in a
collision.
Based on the velocity change of each object,
what did you infer about the direction of forces
during a collision?
• We observed that the velocity of each object changed during a collision, so we can infer
that a force had to be exerted on each object. However, the motion of the objects
changed in different ways.
• The object that was moving forward slowed down, so I can infer that the force must have
pushed backward on this object.
• The other object started moving forward, so the force must have pushed forward on that
object. If one force was backward and one force was forward, then the forces pushed
the objects in opposite directions.
Explanation:
Good Luck!
A 5 m long cylindrical tunnel of diameter 1.5 m connects an underground chamber to a residential room. The chamber is polluted with a toxic gas at a concentration of 30mgm −3 . The concentration of toxic gas in the residential room is maintained at a safe concentration of 3mgm −3 . The diffusion coefficient is 0.065 m 2 minute −1 . Calculate the flux per unit area of the toxic gas towards the residential room.
The flux per unit area of the toxic gas towards the residential room is 0.351 mg/(m^2 * minute).
To calculate the flux per unit area of the toxic gas towards the residential room, we can use Fick's law of diffusion, which states that the flux (J) is proportional to the concentration gradient (ΔC) and the diffusion coefficient (D), and inversely proportional to the distance (Δx):
J = -D * (ΔC / Δx)
In this case, we want to calculate the flux per unit area, so we need to divide the flux by the area of the tunnel.
Length of the tunnel (Δx) = 5 m
Diameter of the tunnel = 1.5 m (radius = 0.75 m)
Concentration in the chamber (C1) = 30 mg/m^3
Concentration in the residential room (C2) = 3 mg/m^3
Diffusion coefficient (D) = 0.065 m^2/minute
First, let's calculate the concentration gradient:
ΔC = C2 - C1 = 3 mg/m^3 - 30 mg/m^3 = -27 mg/m^3
Next, let's calculate the area of the tunnel:
Area = π * (radius)^2 = π * (0.75 m)^2 = 1.767 m^2
Now, we can calculate the flux per unit area:
J = -D * (ΔC / Δx) = -0.065 m^2/minute * (-27 mg/m^3 / 5 m) = 0.351 mg/(m^2 * minute)
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Some sources of energy are called alternative sources. To what sources of energy are they an alternative? of energy
Answer:
They are alternative sources to Fossil Fuels.
Hope this helps
A 0.225 kg block of iron at -28.7 °C is put in a cup of 0.150 kg of water at 18.9 °C. What is their equilibrium temperature?
Answer:
12.3°C should be the correct answer
Answer:
12.3
Explanation:
36) All of the following statements are true. Which one explains the reason why there is not a solar eclipse at every new Moon?
A) The nodes of the Moon's orbit precess with an 18-year period.
B) The orbital plane of the Moon is tilted by about 5° to the ecliptic plane.
C) The Moon rotates synchronously with its revolution about Earth.
D) The sidereal month is shorter than the lunar month.
E) The Moon is the primary cause of tides on Earth.
The reason why there is not a solar eclipse at every new Moon is because the orbital plane of the Moon is tilted by about 5° to the ecliptic plane. The correct answer is option b.
This is the reason why there is not a solar eclipse at every new Moon. The ecliptic plane is the plane of Earth's orbit around the sun. For a solar eclipse to occur, the Moon must be in the same plane as the Sun and Earth, but because the Moon's orbital plane is tilted by about 5° to the ecliptic, it often misses alignment and a solar eclipse does not occur.
A solar eclipse is a phenomenon that occurs when the Moon passes between the Sun and Earth, casting a shadow on Earth and blocking the light from the Sun. There are three types of solar eclipses: total, partial, and annular. During a total solar eclipse, the Moon covers the entire disk of the Sun, causing the sky to darken and creating a spectacular sight.
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