Posted by Jason on Friday, January 6, 2012 at 9:23pm.
The kinetic energy of the bullet and block after impact equals the work done against friction.
(1/2)(M+m)V2^2 = (M+m)*g*(0.7)*14m
V2^2 = 2*g*(0.7)(14) = 192 m^2/s^2
V2 = 13.9 m/s
Now use conservation of momentum to determine the velocity of the bullet, V1
m*V1 = (m+M)*V2
V1 = V2*(121/11) = 11 V2 = 152 m/s
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