A mass m₁ of 100kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m₂ of 1000kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is

A circular object of radius r rolls without slipping on a horizontal level floor with the center having velocity $$V$. The velocity at the point of contact between the object and the floor is

A stone with mass of $$0.1$$kg is catapulted as shown in the figure. The total force $${F_x}$$ (in N) exerted by the rubber band as a function of distance $$x$$ (in m) is given by $${F_x} = 300{x^2}.$$ If the stone is displayed by $$0.1$$ m from the un-stretched position (x = 0) of the rubber band, the energy stored in the rubber bad is

The coefficient of restitution of a perfectly plastic impact is