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Finding the Magnitude of Displacement

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A bullet of mass m = 100 g is fired at speed v0 = 20 m/s into a wooden block of mass M = 0.5 kg. The bullet instantaneously comes to rest in the block, as shown in the figure (see attached). The block with the embedded bullet slides along a horizontal surface with a coefficient of kinetic friction u = 0.2. How far does the block slide before it comes to rest (i.e. magnitude of displacement s in the figure)?

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This solution provides step by step calculations for finding the magnitude of displacement.

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m = 0.1 kg
M = 0.5 kg
v = 20 m/s
u = 0.2
g = 9.8 m/s^2

Initial Kinetic Energy of the Bullet = ...

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