A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be ____________

A weight of 500N is supported by two metallic ropes as shown in the figure. The values of tensions T₁ and T₂ are respectively.

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 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