Work is defined as the amount of energy transferred by a force acting on an object as it moves through a distance. It is represented by the equation W = F * d, where W is work, F is the force applied, and d is the distance traveled.
Kinetic energy is the energy an object possesses due to its motion. It is represented by the equation KE = 1/2 * m * v^2, where KE is kinetic energy, m is the mass of the object, and v is the velocity of the object.
Work and kinetic energy are closely related. Work done on an object causes a change in its kinetic energy. This can be seen in the work-energy theorem, which states that the net work done on an object is equal to the change in its kinetic energy.
If the force applied to an object is perpendicular to its displacement, then the work done on the object is zero. This is because the force is not in the same direction as the movement of the object, so it does not transfer any energy to the object.
In a system with two blocks, the work done on one block is equal to the change in kinetic energy of the other block. This is due to the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another.