As shown below, a bullet of mass m and speed v is fired at an at rest pendulum bob. The bullet goes through the bob, and exits with a speed of . The pendulum bob is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the bob.) v/4 4M V gL V = m Use conservation of energy to determine the speed of the bob immediately after collision. Assume that at the top of the swing the bob is momentarily at rest, so its kinetic energy is zero. Then apply conservation of momentum to find the initial minimum speed of the bullet.

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As shown below, a bullet of mass m and speed v is fired at an at rest pendulum bob. The bullet goes through the bob, and exits with a speed of v/4

 The pendulum bob is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: mLg, and M for the mass of the bob.)

As shown below, a bullet of mass m and speed v is fired at an at rest pendulum bob. The bullet goes through the bob, and exits with a speed of . The pendulum bob is attached to a rigid pole of
4
length L and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the
mass of the bob.)
M
v/4
4M
V gL
V =
m
Use conservation of energy to determine the speed of the bob immediately after collision. Assume that at the top of the swing the bob is momentarily at rest, so its kinetic energy is zero. Then apply
conservation of momentum to find the initial minimum speed of the bullet.
Transcribed Image Text:As shown below, a bullet of mass m and speed v is fired at an at rest pendulum bob. The bullet goes through the bob, and exits with a speed of . The pendulum bob is attached to a rigid pole of 4 length L and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the bob.) M v/4 4M V gL V = m Use conservation of energy to determine the speed of the bob immediately after collision. Assume that at the top of the swing the bob is momentarily at rest, so its kinetic energy is zero. Then apply conservation of momentum to find the initial minimum speed of the bullet.
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