A solid sphere of mass `3kg` rolls on a horizontal surface with a linear speed of `30m/s`.
Find the total kinetic energy of the sphere.

Suppose a child of mass 40 kg running on a horizontal surface with a velocity of 5m/s. Jumps on a stationary skating board of mass 3kg while running. If there is no other force acting horizontally (assuming the frictional force on the wheels to be zero), calculate the velocity of the combined system of child and the skating board.

A body is rolling on a horizontal surface. Derive an equation for its kinetic energy.

A body rolls over a horizontal, smooth surface without slipping with a translational kinetic energy E . Show that the total kinetic energy of the body is E(1+ (k^2/R^2)) where k is the radius of gyration and R is the radius of the body. Using the above relation. Find the total kinetic energy of a circular disc.

A coin is rolling on a plane surface. What fraction of its total kinetic energy is rotational?

A solid sphere of mass m and radius R starts from rest and rolls down along an inclined plane of height h without slipping. Calculate the kinetic energy of the sphere when it reaches the ground.