Conservation of Energy
A body of mass collides elastically with a stationary mass on the -axis. Before the collision, the velocity of mass is . If the velocity of mass after the collision is where and are coprime positive integers, what is the value of
Two pendulums with respective masses of and hang from the same point by identical strings, as shown in the figure above. Both being initially high from the lowest point, they swing down and collide elastically at the lowest point. If the velocity of mass after the collision satisfies where and are coprime positive integers, what is the value of
A body of mass collides elastically with a stationary mass Before the collision, the velocity of mass is After collision, masses and move in directions that make respective angles of and with the original direction that had moved in. If
, what is the velocity of mass after the collision?
Consider a one dimensional collision between two point masses with different masses and and initial velocities and . We define the ratio as the ratio of the difference in initial velocities to the difference in final velocities:
.
What is if the collision is perfectly elastic?
Two pendulums with respective masses of and hang from the same point by identical strings, as shown in the figure above. Both being initially high from the lowest point, they swing down and collide elastically at the lowest point. What is the maximum height that pendulum reaches after the collision?