A 60 g bullet is fired horizontally with a velocity


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A 2-oz bullet is fired horizontally with a velocity v1 = 1800 ft/sec into the 6-kg block of soft wood initially at rest on the horizontal surface. The bullet emerges from the block with the velocity v2 = 1200 ft/sec, and the block is observed to slide a distance of 8 ft before coming to rest. Determine the coefficient of kinetic friction μk between the block and the supporting surface.

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Answer:0.0623

Explanation:

 Given

Initial velocity of bullet=1800 ft/sec

Final velocity of bullet=1200 ft/sec

mass of bullet =2 oz=56.699 gm

Now conserving momentum

m_{bullet}u_i=m_{bullet}u_f+m_{block}v

56.699\times 1800=56.699\times 1200+6000\times v

v=5.669 ft/sec[/tex]

Now applying equation of motion to get Coefficient of friction

v_f^2-u_i^2=2as

where a=\mu _k\times g

here u_i=5.669

and v_f=0

5.669^2=2\times \mu _k\times g\times 8

here g=32.2 ft/s^2

\mu _k=0.0623


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