8.42. A ball of mass m is dropped from a height h onto a horizontal surface....

  

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8.42. A ball of mass m is dropped from a height h onto a horizontal surface. Show that the vertical height through which the ball rises before it stops rebounding is h(1 + e²)/(1 – e?), where e is the coef- ficient of restitution. 8.43. Show that the loss in kinetic energy when two objects collide is V²(1 - e?), where u is the re- duced mass, V is the relative speed before collision, and e is the coefficient of restitution. 8.42. A ball of mass m is dropped from a height h onto a horizontal surface. Show that the vertical height through which the ball rises before it stops rebounding is h(1 + e²)/(1 – e?), where e is the coef- ficient of restitution. 8.43. Show that the loss in kinetic energy when two objects collide is V²(1 - e?), where u is the re- duced mass, V is the relative speed before collision, and e is the coefficient of restitution.

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Let U be the velocity of the sphere just before striking the plane then U 2 2gh U sqrt2gh If V be th... View the full answer