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3. (10pts) A spring, with a spring constant of 5710 N/m, is compressed by 0.45 m...

3. (10pts) A spring, with a spring constant of 5710 N/m, is compressed by

0.45 m and used to launch a 15.5 kg mass from rest from point A across

a frictionless surface and down a short hill that is H = 1.73 m high. The

surface becomes rough at point B, and the mass comes to a stop at point

C.

(a) (5pts) How much work was done by friction between B and C?

(b) (5pts) If the coefficient of kinetic friction between the mass and the

rough surface is 0.53, how far will it travel before coming to rest? That

is, determine the distance between point B and point C.

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Answer #1

v.-0m/s Between point A and B the energy is conserved. So, mgh+mv But between point B and C the energy is not conserved, as a non -conservative force i.e frictional force is acting between these two points The work done by the frictional force is given by the change in mechanical energy But vc -Om/s fiction (15.5 kg×9.8 m/s* x1.73m)+? x5710 Ninx(0.45)2m2 Wfrrton =-840.92 J Hence the work done by the frictional force is -840.923

W. 840.92 freton friction BC Hr Hg 0.53x15.5x9.8 UTE Dac-10.45m Hence the distance between point B and C is 10.45 m

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