An object of mass m in moving with velocity V. Show that its kinetic energy is `1/2 mV^2`.

A body of mass m moving with velocity V along the X-axis, collides with another mass M moving with velocity v along the Y-axis. The masses coalesce after collision. Find the velocity and the direction of motion of the combined mass.

A particle of mass m has momentum p. What is its kinetic energy ?

An explosive of mass 9 kg is divided in two parts. One part of mass 3 kg moves with velocity of 16 m/s. The kinetic energy of other part will be

A body of mass in moving with a velocity u strikes elastically a stationary body of mass 2m. After 'the elastic collision 'the bodies move with velocities v and V respectively. Show that the body of mass m loses 8/9 part of its initial kinetic energy

A bullet of mass 10 g moving with velocity v becomes embedded in a ballistic pendulum of mass 2kg. The pendulum rises to a height of 10 cm. Find velocity of bullet and energy lost in collision.

A solid sphere of diameter 2 cm and of mass 20 g is rolling with a velocity of 3 cm. s^(-1) . What is the total kinetic energy of the sphere?

A body of mass m moving with a velocity u strikes elastically a stationary body of mass 2m . After the elastic collision the bodies move with velocities v and V respectively . Show that the body of mass m loses 8/9 part of its initial kinetic energy.

Two particles of masses m_1 and m_2 move on the same plane. If their relative velocity is u, and the velocity of their centre of mass is v, show that the total kinetic energy is 1/2(m_1+m_2)v^2+1/2 ((m_1m_2)/(m_1+m_2))u^2 .

A bullet of mass m, moving with a velocity u hits a wooden block of mass M and gets embedded. Assuming that the wooden block can move freely, show that, the loss of kinetic energy =1/2 (mM)/(m+M) u^2 .

A block of mass M is kept on a smooth horizontal surface. Another block of mass m, moving with velocity v, collides with it and coalesces. What is the resultant velocity of the system?