A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to

A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to

How much work is done by mass M moving once around a horizontal circle of radius r?

What is the coefficient of restitution?

Is the total linear momentum conserved during the short time of an elastic of two balls?

Does potential energy of spring decrease/ increase when it is compressed or stretched?

A molecule in a gas container hits a horizontal wall with speed 200 m s^–1 and angle 30° with the normal, and rebounds with the same speed. Is momentum conserved in the collision ? Is the collision elastic or inelastic ?

A trolley of mass 300 kg carrying a sand bag of 25 Kg is moving uniformly with a speed of 27km/h on a frictionless track. After a while , sand starts leaking out of a whole on the floor of the trolley at the rate of 0.052 kg^-1.What is the speed of the trolley after the entire sand bag is empty?

Work done by a body against friction always results in a loss of its kinetic/potential energy

A block of mass 1.2 kg moving at a speed of 20cm/s collides head-on with a similar block kept at rest. The coefficient of restitution is 3/5, find the loss of kinetic energy during collision.

In a nuclear reactor, a neutron of high speed (typically 10⁷ ms^-1) must be slowed to 10³ ms^-1 so that it can have a high probability of interacting with isotope \(_{ 92 }^{ 325 }{ U }\)and causing it to fission.
Show that a neutron can lose most of its kinetic energy in an elastic collision with light nucleus like deuterium or carbon which has a mass of only a few times the neutron mass. The material making up the light nuclei, usually heavy water (D₂O) or graphite is called a moderator.