(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the track shown in the figure. The section AB is one quadrant of a circle of radius r = 2.0 m and is frictionless. B to C is a horizontal span 3.3 m long with a coefficient of kinetic friction µk = 0.25. The section CD under the spring is frictionless. A block of mass 1 kg is released from rest at A. After sliding on the track, it compresses the spring by 0.20 m.

a)Determine the velocity of the block at point B.

b)Determine the thermal energy produced as the block slides from B to C.

c)Determine the velocity of the block at point C.

d)Determine the stiffness constant k for the spring.

2. Relevant equations

3. The attempt at a solution

I have been trying to solve this all night and have gotten this far:

a) V=square root of 2(9.8m/s^2)(2m) V=6.26m/s

b) (.25)(9.8m/s^2)(3.3m)(1kg)=8.09 J

c) 1/2(1kg)V^2-1/2(1kg)(6.26m/s)^2=-8.09J V=4.80m/s

d) -1/2(1kg)(4.80m/s)^2=1/2(-k)5.5m k=4.19N/m

Are any of these correct?

Please help me figure this out, it is due by the end of the day Thursday 10/16.

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# Homework Help: Conservation of Energy Block Velocity Problem

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