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A 5.00-kg block is moving at v = 6.00 m/s along a

Chapter 3, Problem 85P

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QUESTION:

A 5.00-kg block is moving at ?v? = 6.00 m/s along a frictionless, horizontal surface 0? toward a spring with force constant ?k? = 500 N/m that is attached to a wall (?Fig. P6.79?). 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?? (?Fig. P6.79?)

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QUESTION:

A 5.00-kg block is moving at ?v? = 6.00 m/s along a frictionless, horizontal surface 0? toward a spring with force constant ?k? = 500 N/m that is attached to a wall (?Fig. P6.79?). 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?? (?Fig. P6.79?)

ANSWER:

Solution 85P Here, the kinetic energy of the block is equal to the potential energy of the spring. Therefore, the necessary condition is, Kinetic energy of the block = Potential energy of the spring …..(1) Mass of the block m = 5.00 kg Speed v =06.00 m

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