To prove: For a block attached to a vertical spring, its potential energy can be represented as a function of position as U = 1 2 k y 2 − m g y .

Question

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Answer 1

Question

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

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Answer 2

Question

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Expert Solution & Answer

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Answer 3

Question

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Expert Solution & Answer

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Answer 4

Question

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Expert Solution & Answer

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Answer 5

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Answer 6

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

Answer 7

Chapter 7, Problem 95P

(a)

To determine

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

Answer 8

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

Answer 9

(b)

To determine

To graph:

The values of potential energy U relative to the position y .

Answer 10

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

Answer 11

(c)

To determine

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

Answer 12

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

Answer 13

(d)

To determine

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

Answer 14

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Answer 15

(e)

To determine

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

Ch. 7 - Prob. 1P Ch. 7 - Prob. 2P Ch. 7 - Prob. 3P Ch. 7 - Prob. 4P Ch. 7 - Prob. 5P Ch. 7 - Prob. 6P Ch. 7 - Prob. 7P Ch. 7 - Prob. 8P Ch. 7 - Prob. 9P Ch. 7 - Prob. 10P

To prove: For a block attached to a vertical spring, its potential energy can be represented as a function of position as U = 1 2 k y 2 − m g y .

Solution Summary: The author explains that the potential energy of the spring-block system can be represented as a function of position as U=12ky2mgy.

Videos

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

To graph:

The values of potential energy U relative to the position y .

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Want to see the full answer?

Chapter 7 Solutions

To prove: For a block attached to a vertical spring, its potential energy can be represented as a function of position as U = 1 2 k y 2 − m g y .

Solution Summary: The author explains that the potential energy of the spring-block system can be represented as a function of position as U=12ky2mgy.

Videos

To prove:For a block attached to a vertical spring, its potential energy can be represented as a function of position as U=12ky2−mgy .

To graph: The values of potential energy U relative to the position y .

To Explain:From the graph (Figure 1 in part (b)) that there exists a position of stable equilibrium for a positive value for y and determine the value of y when the block is in the equilibrium position.

The force acting on the system for any value of y , from the equation U=12ky2−mgy .

The maximum value reached by the block if it is released at the unstressed position and also indicate it on the graph.

Want to see the full answer?

Chapter 7 Solutions

To graph:

The values of potential energy U relative to the position y .