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Q. 72

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 260

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Short Answer

A box slides down the frictionless ramp shown in FIGURE CP10.72, then collides with a spring whose spring constant is .

a. What is the maximum compression of the spring?

b. At what compression of the spring does the box have its maximum speed?

(a) The maximum compression of the spring .

(b) When compressed , the box has a maximum speed.

See the step by step solution

Step by Step Solution

Step 1: Given information (part a)

Step 2: Explanation (part a)

By using the conservation of energy equation.

Kinetic energy at the initial and final positions is zero.

Therefore,

Step 3: Given information (part b)

Weight of the box

The distance of the slide.

Spring constant,

Step 4: Explanation (part b)

The net force at the initial contact s,

The net force at the maximum displacement

The maximum speed at the compression of the spring at is

At the box has its maximum speed.

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