Given data
*The given mass of the car is m = 885 kg
*The given speed is u = 40 m/s
*The given acceleration of the car is a = 3 m/s^2
*The given distance is s = 200 m
*The height of the cliff is H = 120 m
(a)
The formula for the time taken by the car is given by the equation of motion as
\(s=ut+\frac{1}{2}at^2\)Substitute the values in the above expression as
\(\begin{gathered} 200=(40)t+\frac{1}{2}\times3\times t^2 \\ 200=40t+1.5t^2 \\ t=4.30\text{ s} \end{gathered}\)Hence, the time taken by the car is t = 4.30 s
(b)
The formula for the time taken by the car to land is given as
\(T=\sqrt[]{\frac{2H}{g}}\)*Here g is the acceleration due to the gravity
Substitute the values in the above expression as
\(\begin{gathered} T=\sqrt[]{\frac{2\times120}{9.8}} \\ =4.94\text{ s} \end{gathered}\)Hence, the time taken by the car to land is T = 4.94 s
(c)
The formula for the horizontal distance from the cliff is given as
\(R=u\times T\)Substitute the values in the above expression as
\(\begin{gathered} R=(40)(4.94) \\ =197.6\text{ m} \end{gathered}\)Hence, the horizontal distance from the cliff is R = 197.6 m
A screwdriver is used to loosen a screw nail. The radius of the handler is 4.0 cm. The nail puts the force at 0.2 cm from the axis. The picture is shown. You apply 10 N force to loosen the nail. How much force does the nail apply to the screwdriver?
Answer:
200 N
Explanation:
Torque at handle = torque at nail
τ = τ
Fr = Fr
(10 N) (4.0 cm) = F (0.2 cm)
F = 200 N
Energy is transmitted from the sun to Earth primarily through radiation, which, like gravitational force, obeys an inverse-square law. Show that the energy input at aphelion is 92% the intensity at perihelion. Does that difference explain the difference in surface temperature from winter to summer? Make a claim and argue from evidence.
The energy input at aphelion (farthest from the sun) is 92% of the intensity at perihelion (closest to the sun) because of the inverse-square law, which states that the intensity of radiation decreases with the square of the distance from the source.
How is the difference in surface temperature explained?However, the difference in energy input does not solely explain the difference in surface temperature from winter to summer.
Other factors, such as the Earth's axial tilt, atmospheric composition, and cloud cover also play a role in determining the surface temperature.
Evidence from climate models and observations indicate that changes in these factors, especially changes in the number of greenhouse gases in the atmosphere, can have a significant impact on global temperature patterns.
In conclusion, while the inverse-square law affects the intensity of solar radiation, it is not the sole factor in determining surface temperature, and the role of other factors must be considered to fully understand seasonal and climatic variations.
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A pipe of constant radius carried water at 3.25 m/s. Please answer in PA.
Pipe of constant radius, we can use Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at two points in a flow system.the pressure of water in the pipe is approximately 105,142 Pa.
What is a system?System refers to a collection of related components or parts that work together to achieve a specific goal or purpose. The concept of a system can be applied to a wide range of fields and disciplines, including science, engineering, economics, and social sciences.
In science, a system is often defined as a portion of the universe that is being studied or analyzed. This can include anything from a single atom or molecule to an entire ecosystem or planet. By defining the boundaries of a system, scientists can focus their attention on understanding the interactions and relationships between the various components within that system.
In engineering, a system refers to a collection of components that are designed to work together to perform a specific function or task. This can include everything from simple mechanical systems like gears and pulleys to complex electrical or computer systems.
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what is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k
The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.
To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:
C = A × B
Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.
Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:
C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)
Now, let's expand the cross product using the properties of vector products:
C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +
(3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +
(1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)
Now, let's calculate each of these cross products:
C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +
(3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +
(1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)
Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:
C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k
Combining like terms, we get:
C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)
Simplifying further:
C = 6.00i - 12.00j + k
Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.
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The vector product of A and B is -3i - 5j - 9k.
Explanation:The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.
In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.
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Technician A says that when replacing a rear hatch window with defroster grids, the
wiring connection may have a locking tab that will need to be released before
removal.
Technician B says that when replacing a rear hatch window with hydraulic lift struts,
the struts should be completely compressed before removal.
Who is right?
A only
B only
Both A and B
Neither A nor B
Technician A only is tight as hen replacing a rear hatch window with defroster grids, the wiring connection may have a locking tab that will need to be released before removal.
Who is a Technician?A technician is someone with expertise and training in a technical procedure. You might need to contact a network technician if your computer network is giving you problems.
A technician is familiar with all of the technical details (ins and outs) of a particular process. A computer technician is an expert in both operating and repairing computers. Similar to a mechanic, an automotive technician is well-versed in cars and how to repair them. Technology and technicians are not always synonymous. A painter or musician may also be referred to as a technician if they have received training in a variety of artistic or musical techniques.
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1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.
2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.
A well-coated structure is defined as A) 95% or better B) 90% or better C) 99% or better D) 93% or better
Answer and Explanation:
A well-coated structure is defined as having a coating that meets a certain standard of quality. The answer to this particular question depends on the specific criteria being used to evaluate the coating. This would typically require a coating coverage of 90% or better, if not higher.
However, in general, a well-coated structure would typically refer to a surface that has been thoroughly and evenly covered with a coating material such as paint or varnish. This ensures that the underlying material is protected from environmental factors such as moisture and UV radiation. In addition, a well-coated structure can also improve the overall appearance of the surface, making it more aesthetically pleasing. Regarding the options provided in the question, the answer would depend on the specific criteria being used to evaluate the coating. However, it is safe to say that a well-coated structure would require a high level of coating coverage, with minimal areas left uncovered or with an uneven application. This would typically require a coating coverage of 90% or better, if not higher. Ultimately, the specific answer would depend on the standards and expectations set by the evaluating body.
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A well-coated structure is defined as having a coating that meets a certain standard of quality. The answer to this particular question depends on the specific criteria being used to evaluate the coating. This would typically require a coating coverage of 90% or better, if not higher.
However, in general, a well-coated structure would typically refer to a surface that has been thoroughly and evenly covered with a coating material such as paint or varnish. This ensures that the underlying material is protected from environmental factors such as moisture and UV radiation. In addition, a well-coated structure can also improve the overall appearance of the surface, making it more aesthetically pleasing.
Regarding the options provided in the question, the answer would depend on the specific criteria being used to evaluate the coating. However, it is safe to say that a well-coated structure would require a high level of coating coverage, with minimal areas left uncovered or with an uneven application. This would typically require a coating coverage of 90% or better, if not higher. Ultimately, the specific answer would depend on the standards and expectations set by the evaluating body
An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft/s). The height of the object off the ground is given by the formulah(0)= - 16t^2 + 45t + 75, where h (t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2. Solve for t.
t = 1.406 seconds
Explanation:The given equation representing the height as a function of time t is:
\(h(t)=-16t^2+45t+75\)Note that:
• The speed of the object at time t, v(t) = dh/dt
,• At maximum height, v(t) = 0
dh/dt = -32t + 45
v(t) = -32t + 45
0 = -32t + 45
32t = 45
t = 45/32
t = 1.406 s
Answer:
Explanation:
This question is part of a graded assignment given by a cyber school in Pennsylvania. I know this to be true because I can see the next question as well in the screen shot. Please remove this question and answer. Signed, the teacher.
P.S. The phase (when height is zero) was added to the original question provided by the curriculum provider so students solve for the time in the air, and not the time required to reach maximum height.
laws of reflection help us to predict the path of reflected ray with refrence to incident ray. How?
Answer:
The laws of reflection govern how incident light rays are reflected on reflecting surfaces such as mirrors, smooth metal surfaces, and clear water. The laws of reflection are as follows: The incident ray reflected ray, and normal to the mirror’s surface are all in the same plane. The incidence angle equals the reflection angle.
Explanation:
A large boulder falls from an underwater ledge and crashes on the floor of the ocean. A pod of dolphins is 800 meters away. Determine how long it takes for the sound of the crash to reach the dolphins.
0.5 sec
0.3 sec
2.3 sec
1.9 sec
Answer:
0.5
Explanation:
Answer:
0.539
Explanation:
A cylinder of metal has the weight of 20 N hanging from a spring scale. Upon being submerged in water, the cylinder now has an apparent weight on the spring scale of 12 N. What is the buoyant force on the piece of metal?
This question involves the concepts of buoyant force and the weight of an object.
The buoyant force on the piece of metal is "8 N".
The apparent weight of the piece of metal is given by the following formula:
Apparent Weight = Actual Weight - Buoyant Force
Buoyant Force = Actual Weight - Apparent Weight
Buoyant Force = 20 N - 12 N
Buoyant Force = 8 N
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The attached picture illustrates the buoyant force.
If the same force is applied to each of these balls, which one will have the LEAST
acceleration
A
m 1.0 kg
B
m=7.3 kg 1
С
m=0.75 kg
D
m=0.5 kg
Answer:
d is the awnser
Explanation:
MABY?!??
A 1420-kg car moving east at 17.0 m/s collides with a 1880-kg car moving south at 15.0 m/s, and the two cars connect together.A. What is the magnitude of the velocity of the cars right after the collision? (m/s )B. What is the direction of the cars right after the collision? Enter the angle in degrees where positive indicates north of east and negative indicates south of east. (°)C. How much kinetic energy was converted to another form during the collision? (kJ)
Given,
The mass of the car moving east, m=1420 kg
The mass of the car moving south, M=1880 kg
The velocity of the car moving east, u₁=17.0 m/s
The velocity of the car moving south, u₂=-15.0 m/s
Here we assume that the eastward direction is the positive x-direction and the southward direction is the negative y-direction.
From the law of conservation of momentum, the momentum is conserved in both directions simultaneously and independently.
Considering the conservation of momentum in the x-direction,
\(mu_1=(m_{}+M)v_x\)Where v_x is the x-component of the final velocity of the two cars.
On substituting the known values,
\(\begin{gathered} 1420\times17.0=(1420+1880)v_x \\ v_x=\frac{1420\times17.0}{(1420+1880)} \\ =7.32\text{ m/s} \end{gathered}\)Considering the conservation of momentum in the y-direction,
\(Mu_2=(m+M_{})v_y\)Where v_y is the y-component of the final velocity of the cars.
On substituting the known values,
\(\begin{gathered} _{}1880\times-15.0=(1420+1880)v_y \\ v_y=\frac{1880\times-15.0}{(1420+1880)} \\ =-8.55\text{ m/s} \end{gathered}\)A.
The magnitude of the velocity of the cars tight after the collision is given by,
\(v=\sqrt[]{v^2_x+v^2_y}\)On substituting the known values,
\(\begin{gathered} v=\sqrt[]{7.32^2+(-8.55)^2} \\ =11.26\text{ m/s} \end{gathered}\)Thus the magnitude of the velocity of the cars right after the collision is 11.25 m/s
B.
The direction of the cars right after the collision is given by,
\(\theta=\tan ^{-1}(\frac{v_y}{v_x})\)On substituting the known values,
\(\begin{gathered} \theta=\tan ^{-1}(\frac{-8.55}{7.32}) \\ =-49.4^{\circ} \end{gathered}\)Thus the direction of the cars right after the collision is -49.4°. That is 49.4° south of the east.
C.
The total kinetic energy of the system is before the collision is
\(K_1=\frac{1}{2}mu^2_1+\frac{1}{2}Mu^2_2\)On substituting the known values,
\(\begin{gathered} K_1=\frac{1}{2}\times1420\times17.0^2+\frac{1}{2}\times1880\times15.0^2 \\ =205.19\times10^3+211.5\times10^3 \\ =416.69\times10^3\text{ J} \end{gathered}\)The kinetic energy of the system of two cars after the collision is,
\(\begin{gathered} K_2=\frac{1}{2}(m+M)v^2 \\ =\frac{1}{2}\times(1420+1880)11.26^2 \\ =209.2\times10^3\text{ J} \end{gathered}\)Thus the kinetic energy lost during the collision is,
\(\Delta K_{}=K_1-K_2\)On substituting the known values,
\(\begin{gathered} \Delta K=416.69\times10^3-209.2\times10^3 \\ =207.49\times10^3\text{ J} \\ \approx207.5\text{ kJ} \end{gathered}\)Thus the total kinetic energy lost during the collision is 207.5 kJ
Each of the following figures shows a person (not to scale) located on Earth at either 40°N or 40°S latitude. Rank the figures based on how much time the person spends in daylight during each 24-hour period, from most to least. To rank items as equivalent, overlap them.
The ranking is based on the tilt of the Earth's axis and its orbit around the Sun. The figure at 40°N in June receives the most daylight because it is located at a high latitude during the summer solstice in the Northern Hemisphere. The Earth's axis tilts towards the Sun, resulting in longer days and shorter nights. The figure at 40°S in December receives a moderate amount of daylight as it is located at a lower latitude during the summer solstice in the Southern Hemisphere.
The figure at 40°N in December experiences less daylight because it is located at a high latitude during the winter solstice in the Northern Hemisphere, with shorter days and longer nights. Lastly, the figure at 40°S in June receives the least amount of daylight as it is located at a lower latitude during the winter solstice in the Southern Hemisphere, where the days are shortest and the nights are longest. Based on the information given, the ranking of figures based on the amount of daylight they experience in a 24-hour period, from most to least.
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Two atoms of the same element only differ because one of the atoms has more electrons, making it an ion. Which statement is true? They have the same A-number and the same Z-number. They have the same A-number but different Z-number. They have a different A-number but the same Z-number. They have different A-numbers and different Z-numbers.
The correct answer is Option B. The statement "they have the same A-number but different Z-number" is true .
Atoms of the same element only differ because one of the atoms has more electrons, making it an ion.
This difference does not affect the mass of the atom, which is determined by the sum of its protons and neutrons, represented by the atomic mass or A-number.
The number of protons in an atom is called the atomic number or Z-number.
The Z-number of an element is unique to it. All the atoms of a given element have the same number of protons.
Thus, for example, all carbon atoms have six protons, making the Z-number of carbon 6.
However, different isotopes of an element can have different numbers of neutrons.
This means that they have a different atomic mass or A-number.
Therefore, they have the same A-number but different Z-number.
Therefore the correct Option is B.
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How might you use a model of a bumper
car to determine how speed and acceleration affect the motion
of the car? What materials might you use? How would a budget
affect your model?
Newton's laws are largely responsible for the enjoyment you get from bumper vehicles at amusement parks.
What is bumper?A bumper is a structure that is incorporated or attached to the front and back ends of a car in order to reduce damage in the event of a minor collision. Automobiles with rigid metal bumpers first emerged in 1904; their primary purpose was ornamentation.
The law of inertia, which is part of Newton's first law, describes how objects move when they are moving.
According to this law, objects at rest and in motion both continue in their current states unless they are affected by an external force.
Newton's second law, the law of acceleration, asserts that an item's mass and the force exerted on it will affect how much the object moves.
This law states that larger objects require more force to move than smaller ones, and that more force results in greater acceleration.
The law of interaction, Newton's third law, basically asserts that any action should be expected to have an equal and opposite reaction. In particular, this law is what gives bumper cars their distinctive thrills of fun.
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To simulate the forces astronauts’ bodies will feel during a launch, NASA puts them in a pod near the outer edge of a centrifuge which spins around and can simulate the equivalent of several times the gravitational acceleration g via centripetal force.
Assuming the radial distance from the centrifuge’s axis of rotation to the pod is 8.00 m, what time for one rotation will simulate 5g? (g = 9.80 m/s^2)
NASA uses centrifuges to simulate the forces astronauts' bodies feel during a launch, and it does this by placing them in a pod near the outer edge of the centrifuge, which spins around and can simulate the equivalent of several times the gravitational acceleration g via centripetal force.
To simulate 5g, assuming the radial distance from the centrifuge's axis of rotation to the pod is 8.00 m,The formula for the centripetal acceleration is:a = v^2/r where v is the tangential velocity, and r is the radial distance between the pod and the axis of rotation.
The tangential velocity is proportional to the angular velocity, ω.
Therefore, the tangential velocity is:v = ωrThe period of rotation, T, is related to the angular velocity by:ω = 2π/T
The centripetal acceleration can be rewritten as:
\(a =\frac{ (ωr)^2}{r} = ω^2r\)
Therefore,a
\(= (ω^2)r =\frac{ v^2}{rT^2}\)
= \(\frac{4π^2r}{v^2}\)
\(=\frac{ 4\pi^2r}{ω^2r}\)
\(= \frac{x4\pi^2}{ω^2T^2 }\)
= \(\frac{4\pi^2}{ω^2}\)
= \(\frac{4\pi^2r}{(ωr)^2}\)
= \(\frac{4\pi^2r}{v^2}\)
Substituting for ω and r,
\(T^2 = \frac{4\pi^2r}{(ωr)^2}\)
\(=\frac{ 4\pi^2r}{v^2}\)
\(= \frac{4\pi^2r}{(ωr)^2T^2}\)
= \(\frac{4\pi^2r}{(4\pi^2g)}\)
rT^2 = 1/gT = sqrt(1/g) * rT = sqrt(1/9.8) * 8.00mT = 0.45 seconds
Therefore, to simulate 5g, the time for one rotation required is 0.45 seconds.
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Which type of electromagnetic wave has more energy than a visible light
wave?
O A. Microwave
B. Infrared wave
OC. Radio wave
OD. Ultraviolet wave
SUBMIT
What are two things that happen to the sugars that are made by the plant during photosynthesis?
I
Answer:
The sugars produced by photosynthesis can be stored, transported throughout the tree, and converted into energy which is used to power all cellular processes. Respiration occurs when glucose (sugar produced during photosynthesis) combines with oxygen to produce useable cellular energy.
Explanation:
I think this is correct lol.
Rita raises a 10kg package to a height of 2.5 m in 2.0 s.
(a) How much work did she do on the package?
(b) How much power was expended on the package?
(c) It she were to raise the package in 1.0 s rather than 2.0 s, how do the work and power change?
Answer:
A) W =250J B) Power = 125 J/s C) Work = 250 J Power = 250 J/s
Explanation:
Work = Force*distance
A:
\(W = 10kg*10m/s^2*2.5m\\W = 250 J\\\)
B:
Power is J/s
Power = 250J/2.0s = 125 J/s
C:
Work stays the same
Power increases to 250 J/s
Henry, whose mass is 95 kg, stands on a bathroom scale in an elevator. The scale reads 830 N for the first 3.6 s after the elevator starts moving, then 930 N for the next 3.6 s.
What is the elevator's velocity 4.0 s after starting?
Answer: \(3.816\ m/s\)
Explanation:
Given
Mass of Henry is 95 kg
Normal weight of Henry is \(mg=95\times 9.8=931\ N\)
The scale reads the weight as 830 N for first 3.6 s i.e. less than the normal weight i.e. Elevator is moving downwards
Apparent weight is given by
\(\Rightarrow 830=m(g-a)\quad [a=\text{acceleration of elevator}]\\\Rightarrow 830=95(9.8-a)\\\Rightarrow 8.736=9.8-a\\\Rightarrow a=1.06\ m/s^2\)
After 3.6 s weight becomes 930 N which is approximately equal to normal weight. It implies elevator starts moving with constant velocity i.e. no acceleration.
If elevator starts from rest, it velocity after 3.6 s is
\(v=u+at\\\Rightarrow v=0+1.06(3.6)\\\Rightarrow v=3.816\ m/s\)
This velocity will remain continues as after 3.6 s, elevator starts moving with constant velocity.
Describe 2 ways in which a giant boulder by the ocean may change over time.
Answer:
I'm not sure if they're right but...
1. It would erode because of the water
2. It would probably become a home for the ocean creatures
The two (2) ways in which a giant boulder by the ocean may change over time are:
1. The ocean water would change the boulder's appearance and texture.
2. The giant boulder would be transformed into sediments due to erosion and weathering through dissolution.
A boulder can be defined as a large (giant) rounded mass of rock fragment that is formed through its detachment from a parent consolidated rock, especially due to erosion and weathering.
Basically, the size of a boulder is greater than 256 millimeters (25.6 centimeters or 10.1 inches) in diameter.
The reason why giant (large) boulders are present in steep mountain streams or oceans is mainly because they are usually too heavy for them to be moved by the body of water.
This ultimately implies that, water cannot move a giant (large) boulder that is present in an ocean because of its size and weight.
However, a giant (large) boulder that is present in an ocean would be affected in these two (2) ways:
Ocean water would change the boulder's appearance and texture. The giant boulder would be transformed into sediments due to the actions of erosion and weathering through dissolution.
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The specific heat of water is 4,186 J/kg.'C. Approximately how much heat must
be removed from 0.500 kg of water to change its temperature from 24.0°C to
5.00°C?
Explanation:
Q= mc∆T
∆T= 5-24=- 19
Q= 0.5*4186*-19
Q= -39767 J
negative sign show heat releases
A 75 kg man stands in an elevator. What will be the force that the elevator exerts on him when
a) the elevator is at rest? ;
b) the elevator is moving upwards with a uniform acceleration of 3.2 m/s"?
c) moving downwards with an acceleration of 2.0 m/s ?
Answer:
a is the answer I think so
Two blocks are placed at the ends of a horizontal massless board, as in the drawing. The board is kept from rotating and rests on a support that serves as an axis of rotation. The block on the right has a mass of 4.4 kg. Determine the magnitude of the angular acceleration when the system is allowed to rotate.
Answer:
The angular acceleration is \(\alpha = 0.788 \ rad/s^2\)
Explanation:
The diagram for this question is shown on the first uploaded image (gotten from study website)
From the question we are told that
The mass of the block on the right is \(m_r = 4.4 \ kg\)
The mass of the block on the left is \(m_l = 12 \ kg\)
The distance of the left mass to the center is \(r_l = 0.6 \ m\)
The distance of the right mass to the center is \(r_l = 1.4 \ m\)
At the point the system is allowed to rotate the upward torque is mathematically evaluated as
\(\tau = m_l * g * r_l - m_r * g * r_r\)
substituting values
\(\tau = 12 * 9.8 * 0.6 - 4.4 * 9.8 * 1.4\)
\(\tau = 10.2 \ N m\)
The moment of inertia of the system is mathematically represented as
\(I = m_l r_l ^2 +m_r r_r^2\)
substituting values
\(I = 12 * (0.6)^2 +(4.4)* (1.4)^2\)
\(I = 12.94 \ kg \cdot m^2\)
The angular acceleration is mathematically represented as
\(\alpha = \frac{\tau}{I}\)
substituting values
\(\alpha = \frac{10.2}{12.94}\)
\(\alpha = 0.788 \ rad/s^2\)
Which component of an atom contains the MAJORITY
of its mass?
Answer:
proton and neutrons
Explanation:
electron has negligible mass
What are some examples of motion? Include the examples you found and describe an accurate frame of reference for one example. Then, describe an inappropriate frame of reference for that example.
Walking, running, and breathing are examples of motion. For rolling of ball, the street is a frame of reference and an insect on the ball is an inappropriate frame of reference.
A frame of reference, also known as a reference frame, is a perspective used in physics to assess whether an object is moving. A frame of reference is an environment or object that is thought to be stationary. The Earth itself, despite its motion, serves as the most frequently used frame of reference.
Some examples of motion are:
Motion is a part of many of our daily activities, including walking, running, closing doors, etc.
Another illustration of motion is the passage of air into and out of our lungs.
The vehicles that transport passengers between the point of pickup and the destination have motion.
A ball is rolling down the street that it is moving.
For a ball rolling down the street, the street is an appropriate frame of reference as it is rest as compared to the ball.
For the same example, the insect sitting on the rolling ball is a part of the rolling ball.
Therefore, the insect is an inappropriate frame of reference for the motion of the ball rolling down the street.
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If galaxy A is 800 million light years away and galaxy B is 1500 million light
years away, according to Hubble's Law, which one is farther
2. For electric circuit shown in Figure find currents in each resistor.
The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.
What is the current flowing in each resistor?The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;
The total voltage in loop 1 is calculated as;
2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
The current flowing in loop 2 is calculated as;
I = V/R
I₂ = ( 6 V - 4 V ) / (3 + 4)
I₂ = 0.286 A
The value of the current flowing in loop 1 is calculated as;
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0
6 - 3I₁ - 3₁ + 0.858 = 0
-6I₁ = -6.858
I₁ = 6.858 / 6
I₁ = 1.14 A
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what is the function of thrombocytes
Answer:
the function of the thrombocytes is to clott blood