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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 6 / Problem 6.85

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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A 5.00-kg block is moving at along a frictionless,

Chapter 6, Problem 6.85

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QUESTION:

A 5.00-kg block is moving at \(v_0=6.00\mathrm{\ m}/\mathrm{s}\) along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall (Fig. P6.85). The spring has negligible mass. (a) Find the maximum distance the spring will be compressed. (b) If the spring is to compress by no more than 0.150 m, what should be the maximum value of \(v_{0}\)?

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QUESTION:

A 5.00-kg block is moving at \(v_0=6.00\mathrm{\ m}/\mathrm{s}\) along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall (Fig. P6.85). The spring has negligible mass. (a) Find the maximum distance the spring will be compressed. (b) If the spring is to compress by no more than 0.150 m, what should be the maximum value of \(v_{0}\)?

ANSWER:

Step 1 of 4

We have given that the mass of block

Initial speed

Spring constant

The block hits the spring with speed and compresses it until it stops, when the spring's elongation is .

So the block did work on the spring equal to

The work that the spring did on the block from the moment it hit the spring to the moment it stopped is equal to

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