A block sliding along a horizontal frictionless surface

Chapter 10, Problem 21E

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QUESTION:

Problem 21E

A block sliding along a horizontal frictionless surface with speed v collides with a spring and compresses it by 2.0 cm. What will be the compression if the same block collides with the spring at a speed of 2v?

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QUESTION:

Problem 21E

A block sliding along a horizontal frictionless surface with speed v collides with a spring and compresses it by 2.0 cm. What will be the compression if the same block collides with the spring at a speed of 2v?

ANSWER:

Step 1 of 2

Here we have to find the compression of the spring.

The spring compressed by 2 cm or 0.02 m.

The speed of the block while colliding is v.

The mechanical energy conservation tells that,

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