6 As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of The sphere is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.) V= 12M√gl 5m m v/6 X Use conservation of energy to determine the speed of the sphere immediately after collision. Assume that at the top of the swing the sphere is momentarily at rest, so its kinetic energy is zero. Then apply conservation of momentum to find the initial minimum speed of the bullet.

6 As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of The sphere is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.) V= 12M√gl 5m m v/6 X Use conservation of energy to determine the speed of the sphere immediately after collision. Assume that at the top of the swing the sphere is momentarily at rest, so its kinetic energy is zero. Then apply conservation of momentum to find the initial minimum speed of the bullet.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.16P

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