(III) A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then com- presses a spring (k = 140 N/m) by a distance x = 0.050 m before coming to rest. The coefficient of kinetic friction between the block and table is M = 0.50. (a) What is the initial velocity (assumed horizontal) of the bullet? (b) What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) %3D in the collision between the bullet and the block?

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(III) A bullet of mass m = 0.0010 kg embeds itself in a
wooden block with mass M = 0.999 kg, which then com-
presses a spring (k = 140 N/m) by a distance x = 0.050 m
before coming to rest. The coefficient of kinetic friction
between the block and table is M = 0.50. (a) What is the
initial velocity (assumed horizontal) of the bullet? (b) What
fraction of the bullet's initial kinetic energy is dissipated
(in damage to the wooden block, rising temperature, etc.)
%3D
in the collision between the bullet and the block?
Transcribed Image Text:(III) A bullet of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which then com- presses a spring (k = 140 N/m) by a distance x = 0.050 m before coming to rest. The coefficient of kinetic friction between the block and table is M = 0.50. (a) What is the initial velocity (assumed horizontal) of the bullet? (b) What fraction of the bullet's initial kinetic energy is dissipated (in damage to the wooden block, rising temperature, etc.) %3D in the collision between the bullet and the block?
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