Assume: The bullet penetrates into the block and stops due to itsfriction with t

Question

Assume: The bullet penetrates into the block and stops due to itsfriction with the block. The compound system of the block plus thebullet rises to a height of 7 cm along a circular arc with a 13 cmradius. Assume: The entire track is frictionless. A bullet with am1 =30 g mass is fired horizontally into a block of wood withm2 =5.12 kg mass. The acceleration of gravity is9.8m/s2 .

a.) Calculate the total energy of the composite system at any timeafter the collision. Answer in units of J

b.) Taking the same parametervalues as those in Part 1, determine the initial velocity of thebullet. Answer in units of m/s.

c.) Denote vbullet to be the initialvelocity, find the momentum of the compound systemimmediately after thecollision.

Explanation / Answer

a) TE = (m+M)*g*h = (0.03+5.12)*9.8*0.07 = 3.5329 J

b) m*Vbullet = (M+m)*V

TE = 0.5*(M+m)*V^2

V = 1.171 m/s

Vbullet = (M+m)*V/m = 200.29 m/s

c) P = (M+m)V = 6.03 kg m/s

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