Problem 3-A spring, with spring constant k = 17300 N/m is compressed 600cm and u

Question

Problem 3-A spring, with spring constant k = 17300 N/m is compressed 600cm and usedto rock, ofmass m-113 kg. The rock starts from a height of y-11.3 m. The track is frictionless until it starts up the second incline. The coefficient of kinetic friction rock- incline is 0.370 and the angle of the incline is 30.0°. (a) launch What is the speed of the rock just after losing contact with the spring? (b) How far up the incline does the rock go? 1. Model-Make simplifying assumptions define symbols isualize Draw a picture; show important points. Establish a coordinate system, List knowns and what you're trying to find.

Explanation / Answer

(a) Conserving energy

0.5*k*x*x=0.5*m*v*v

We got v=7.42 m/s

(b) again conserving energy

0.5*m*v*v + mg*11.3=u*mg*cos(theta)*d

We got d=44.04 m

So height travelled on incline=44.04*sin(30)=22.02 m

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