Because there are no external forces or torques acting on the bar-sphere system,
ID: 1697435 • Letter: B
Question
Because there are no external forces or torques acting on the bar-sphere system, both linear and angular momenta are conserved in the collision. Kinetic energy is also conserved in the elastic collision of the hard sphere with the bar. Draw a sketch showing the sphere approaching the bar, and later showing the stationary sphere as the bar translates and rotates about its center of mass.
The figure below shows a thin, uniform bar whose length is L and mass is M and a compact hard sphere whose mass is m. The system is supported by a frictionless horizontal surface. The sphere moves to the right with velocity Because there are no external forces or torques acting on the bar-sphere system, both linear and angular momenta are conserved in the collision. Kinetic energy is also conserved in the elastic collision of the hard sphere with the bar. Draw a sketch showing the sphere approaching the bar, and later showing the stationary sphere as the bar translates and rotates about its center of mass. V , and strikes the bar at a distance 1/4L from the center of the bar. The collision is elastic, and following the collision the sphere is at rest. Find the value of the ratio m/M.Explanation / Answer
Answer is 0.571