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a Secure I https://session View? offset next&assignmentproblemID; 76910249 masteringphysics.com/myct/item' signed in as Dylan Stone Physics 105 Spring 2017 LeClair HW Ch 10 11 Problem 10.89 previous 2 of 10 Problem 10.89 kg block on a horizontal tabletop is pushed against the free end of a spring (the other end is attached to a wal) until the spring is compressed 0.20 m from its relaxed length. The spring constant is k 120 N/m, and the coefficient of kinetic friction between block and tabletop is o.16. Part A when the block is released from being held against the compressed spring, how far does the block travel before coming to rest? Express your answer with the appropriate units. Ar Value Units Submit My Answers Give Up Eeedback Conti

Explanation / Answer

We will use Conservation of energy to solve this:

All the initital spring PE is lost to Work done by friction

initial spring PE = 0.5*k*x^2 <--------- x = 0.2 m

Let the distance traveled by the block be D

So, Work done against friction = u*mg*D

So, by conservation of energy , 0.5*k*x^2 = u*mgD

So, D = k*x^2/(2u*mg)

= 120*0.2^2/(2*0.16*1*9.8)

= 1.53 m <--------answer

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