Solved: On a friction-free ice pond, a hockey puck is

Chapter 7, Problem 11DQ

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QUESTION:

Problem 11DQ

On a friction-free ice pond, a hockey puck is pressed against (but not attached to) a fixed ideal spring, compressing the spring by a distance x0. The maximum energy stored in the spring is U0, the maximum speed the puck gains after being released is v0, and its maximum kinetic energy is K0. Now the puck is please so it compresses the spring twice as far as before. In this case, (a) what is the maximum potential energy stored in the spring (m terms of U0), and (b) what are the puck’s maximum kinetic energy and speed (in terms of K0 and x0)?

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QUESTION:

Problem 11DQ

On a friction-free ice pond, a hockey puck is pressed against (but not attached to) a fixed ideal spring, compressing the spring by a distance x0. The maximum energy stored in the spring is U0, the maximum speed the puck gains after being released is v0, and its maximum kinetic energy is K0. Now the puck is please so it compresses the spring twice as far as before. In this case, (a) what is the maximum potential energy stored in the spring (m terms of U0), and (b) what are the puck’s maximum kinetic energy and speed (in terms of K0 and x0)?

ANSWER:

Solution 11 DQ

Step 1:

In this question , we need to find the maximum potential energy stored in the spring

We also need to find  maximum kinetic energy and speed of puck

Data given

Compression of spring

energy stored in  the spring

Maximum speed gained by puck

Maximum kinetic energy of the puck

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