A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds

Question

A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 9.50 kg, it is observed that the combined masses arise to a max height, h.

A) find the speed of Vf of the combined masses immediatly following impact.

B)determine the value of the max heigh h attained.

A bullet, m = 0.500 kg, traveling with a velocity of 100 m/s strikes and embeds itself in the bob of a ballistic pendulum, M = 9.50 kg, it is observed that the combined masses arise to a max height, h. A) find the speed of Vf of the combined masses immediatly following impact. B)determine the value of the max heigh h attained.

Explanation / Answer

conservation of linear momentum mv1 = (m + M)v v = 0.5 x 100/(9.5 + 0.5) v = 5m/s conservation of energy (!/2)mv2 = mgh (1/2)(5)2 = 9.8 h h = 1.275m

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