A hoop of mass 3.00 kg and radius 1.00 m is moving at 3π rad/s across a horizontal surface. The coefficient of friction between the hoop and the surface is 0.65. Calculate how far the hoop will travel before it comes to rest
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A hoop of mass 3.00 kg and radius 1.00 m is moving at 3π rad/s across a horizontal surface. The coefficient of friction between the hoop and the surface is 0.65. Calculate how far the hoop will travel before it comes to rest.
total kinetic energy of hoop= 1/2 *m*v2 +1/2*I*2= 1/2 *m*v2 +1/2 *(mr2)2= 1/2 *m*v2 +1/2 *m*v2 = mv2----1
I= mr2(moment of inertia of ring)
r=1m
= 3 rad/sec
v=wr= 3*1= 3 m/sec
total kinetic energy of hoop is =mv2=m 92----2
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