+-15 points KatzPSEf1 9.P.051 My Notes Ask Your Teacher A small 0.55-kg box is l

Question

+-15 points KatzPSEf1 9.P.051 My Notes Ask Your Teacher A small 0.55-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. The coefficient of kinetic friction between the box and the track is 0.39 along the entire track. The spring has a spring constant of 32.5 N/m and is compressed 30.0 cm with the box attached. The block remains on the track at all times. 30.0 cm 50.0 cm 40° (a) What would you include in the system? Explain your choice. This answer has not been graded yet (b) Calculate d. (c) Compare your answer with a similar situation where the inclined part of the track is frictionless

Explanation / Answer

a] The spring and the mass. Energy is initially stored in spring, later given to mass.

b] umg*0.3+umg cos theta*L +umg d = 0.5kx^2+ mg L sin theta

= 0.5*32.5*0.30^2 + 0.55*9.8*0.50* sin 40 degree = 3.1948 J

0.39*0.55*9.8*0.30 + 0.39*0.55*9.8*0.50*cos 40 degree +0.39*0.55*9.8*d = 3.1948

d = [ 3.1948-0.6306-0.8052]/(0.39*0.55*9.8)

= 0.837 m answer

c) in that case d = [ 3.1948-0.6306]/(0.39*0.55*9.8) = 1.22 m answer

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