Work, Energy and Power

The physical quantity represented by the area under a Force-displacement ($F-x$) graph is:

If a force $\vec{F} = (2\hat{i} + 3\hat{j}) \text{ N}$ acts on a particle and produces a displacement $\vec{s} = (4\hat{i} + 5\hat{j}) \text{ m}$, what is the total work done on the particle?

A satellite moves in a circular orbit around the Earth. The work done by the gravitational force on the satellite for one complete revolution is:

An elastic spring of force constant $k$ is compressed by a distance $x$. The potential energy stored in the spring is given by:

A ball of mass $m$ is dropped from a height $h$ above the ground. Neglecting air resistance, which of the following diagrams correctly represents the transformation of energy as the ball falls?

The work-energy theorem states that the work done by the net force acting on a particle is equal to the change in its:

When a ball is thrown vertically upwards, what is the sign of the work done by the gravitational force during the upward motion and the downward motion respectively?

If the kinetic energy of a moving object increases by a factor of 4, the net work done on the object must be:

A body of mass $2\text{ kg}$ is initially at rest on a frictionless surface. A force does $100\text{ J}$ of work on the body. What is the final kinetic energy of the body?

For a non-conservative force, the work done in moving a particle from point A to point B:

If the potential energy $U$ of a system is a function of position $x$, how is the associated conservative force $F$ defined?

Which of the following is an example of a non-conservative force?

In a one-dimensional elastic collision between two identical masses, where one is initially at rest, what happens to their velocities after the collision?

A body of mass $m$ moving with a velocity $v$ collides with another body of the same mass $m$ at rest. If the collision is perfectly inelastic, what is the final common velocity of the system?

A perfectly inelastic collision is characterized by which of the following conditions regarding the coefficient of restitution ($e$)?