(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w ? (b) When the elevator is moving at a constant velocity upward, which is greater, T or w ? (c) When the elevator is moving upward, but the acceleration is downward, which is greater, T or w ? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s 2 . Find T . Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant upward velocity of 10 m/s. Find T . Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.50 m/s 2 . Find T . Is your answer consistent with your answer to part (c)?

Question

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Answer 1

Textbook Question

Chapter 4, Problem 37P

(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? (b) When the elevator is moving at a constant velocity upward, which is greater, T or w? (c) When the elevator is moving upward, but the acceleration is downward, which is greater, T or w? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s². Find T. Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant upward velocity of 10 m/s. Find T. Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.50 m/s². Find T. Is your answer consistent with your answer to part (c)?

(a)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

(b)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

(c)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

(d)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

(e)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

(f)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

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Answer 2

Textbook Question

Chapter 4, Problem 37P

(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? (b) When the elevator is moving at a constant velocity upward, which is greater, T or w? (c) When the elevator is moving upward, but the acceleration is downward, which is greater, T or w? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s². Find T. Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant upward velocity of 10 m/s. Find T. Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.50 m/s². Find T. Is your answer consistent with your answer to part (c)?

(a)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

(b)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

(c)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

(d)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

(e)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

(f)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

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Answer 3

Textbook Question

Chapter 4, Problem 37P

(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? (b) When the elevator is moving at a constant velocity upward, which is greater, T or w? (c) When the elevator is moving upward, but the acceleration is downward, which is greater, T or w? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s². Find T. Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant upward velocity of 10 m/s. Find T. Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.50 m/s². Find T. Is your answer consistent with your answer to part (c)?

(a)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

(b)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

(c)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

(d)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

(e)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

(f)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

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Answer 4

Textbook Question

Chapter 4, Problem 37P

(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? (b) When the elevator is moving at a constant velocity upward, which is greater, T or w? (c) When the elevator is moving upward, but the acceleration is downward, which is greater, T or w? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s². Find T. Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant upward velocity of 10 m/s. Find T. Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to accelerate downward at 1.50 m/s². Find T. Is your answer consistent with your answer to part (c)?

(a)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

(b)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

(c)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

(d)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

(e)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

(f)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

(a)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

(b)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

(c)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

(d)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

(e)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

(f)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

Answer 8

(a)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

The tension on the cable.

Answer 13

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Answer 14

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move upwards,T>W.

Answer 15

(b)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

The tension on the cable.

Answer 20

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Answer 21

Explanation of Solution

According to Newton’s second law, force is equal to the product of mass and acceleration.

Force is expressed as,

F=ma

a is the acceleration.
m is the mass of the block.

Conclusion:

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero. Therefore, the total force is zero. As a result, the tension equals the weight of the elevator.

Answer 22

(c)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

To determine

The tension on the cable.

Answer 27

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Answer 28

Explanation of Solution

Given Info: Mass of the block is m.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Conclusion:

The force of gravity acts downwards. For the elevator to move downwards, T<W.

Answer 29

(d)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

To determine

The tension on the cable.

Answer 34

Answer to Problem 37P

Tension (T) on the cable should be greater than the weight.

Answer 35

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+2.50 ms−2)=14760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

W=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Tension on the cable is 14760 N. The weight of the elevator is 11760 N. Therefore,

T > W.

Answer 36

(e)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

Answer 37

(e)

Expert Solution

Answer 38

(e)

Expert Solution

Answer 39

Expert Solution

Answer 40

To determine

The tension on the cable.

Answer 41

Answer to Problem 37P

Tension (T) on the cable is equal to the weight.

Answer 42

Explanation of Solution

Tension on the cable is,

T=m(g+a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Acceleration is the rate of change of velocity. Since, velocity is constant, the acceleration is zero

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 0 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2+0 ms−2)=11760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T = W. It is consistent with (b).

Answer 43

(f)

Expert Solution

To determine

The tension on the cable.

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

Answer 44

(f)

Expert Solution

Answer 45

(f)

Expert Solution

Answer 46

Expert Solution

Answer 47

To determine

The tension on the cable.

Answer 48

Answer to Problem 37P

Tension (T) on the cable should be lesser than the weight.

Answer 49

Explanation of Solution

Tension on the cable is,

T=m(g−a)

g is the acceleration due to gravity.
m is the mass of the block.
a is the acceleration.

Weight of the elevator is,

W=mg

g is the acceleration due to gravity.
m is the mass of the block.

Substitute 1200 kg for m, 9.8 ms−2 for g and 2.50 ms−2 for a in the expression for T.

T=(1200 kg)(9.8 ms−2−2.50 ms−2)=8760 N

Substitute 1200 kg for m and 9.8 ms−2 for g in the expression for W.

T=(1200 kg)(9.8 ms−2)=11760 N

Conclusion:

Therefore, T<W. It is consistent with (c).

Answer 50

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