Understanding the concept of conservation of momentum

A bullet of mass 50g is fired from below into a bob of mass 450g of a long simple pendulum. The bullet remains inside the bob and the bob rises to a height of 1.8m. Take . The speed of the bullet is__.

A mass of 100g strikes a wall with a speed of 5m/s at an angle shown in the figure. It rebounds with the same speed. If the contact time is , what is the force applied to the mass by the wall?

A man of mass 50kg starts moving on the Earth and acquires a speed of 1.8 m/s. With what speed does the Earth recoil? Mass of the Earth =  

A projectile of mass m is fired with velocity v, from a point P as shown in the figure. Neglecting air resistance, the magnitude of the change in momentum between the points P and Q is___.

A ball of mass 50g moving at a speed of 2.0 m/s strikes a plane surface at an angle of incidence . The ball is reflected by the plane at an equal angle of reflection with the same speed. The magnitude of the change in momentum of the ball is__.

One projectile moving with velocity v in space gets burst into two parts of masses in the ratio 1:3. The smaller part becomes stationary. The velocity of the other part is__.

A bullet hits a block kept at rest on a smooth horizontal surface and gets embedded into it. Which of the following does not change?

A bullet weighing 50g leaves a gun with a velocity of 30 m/s. The ratio of the momentum of the bullet to that of the gun is__.

A bullet of mass 5g is fired at a velocity of 900 m/s, from a rifle of mass 2.5 kg. The recoil velocity of the gun is__.

If the linear momentum is increased by 50%, the kinetic energy increases by___.

A space shuttle, while traveling at a speed of 4000 km/h with respect to the Earth, disconnects and ejects a module backward, weighing one-fifth of the residual part. If the shuttle ejects the disconnected module at a speed of 100 km/h with respect to the state of the shuttle before the ejection. The final velocity of the shuttle is__.

A man of mass m is standing on a platform of mass M kept on smooth ice. If the man starts moving on the platform with a speed v relative to the platform, with what velocity relative to the ice does the platform recoil?

The ratio of the linear momenta of two particles of masses 1kg and 4kg, if their kinetic energies are equal__

A body at rest breaks into two pieces of equal masses. The parts will move__.

A mass m with velocity u strikes a wall normally and returns at the same speed. What is the magnitude of the change in momentum of the body when it returns?