Work, Energy, and Power in Physics

A 5 kg object is moving with a velocity of 4 m/s. A net force acts on it, increasing its velocity to 6 m/s. What is the net work done on the object?

A spring with a spring constant of 500 N/m is stretched by 0.05 m from its equilibrium position. What is the potential energy stored in the spring?

A 2 kg ball is dropped from a height of 20 m. Assuming no air resistance, what is the speed of the ball just before it hits the ground?

A particle of mass $m$ moves along the x-axis from $x = 0$ to $x = x_0$ under the influence of a force $F(x) = kx^2$, where $k$ is a constant. What is the work done by the force?

A 2 kg block slides down a frictionless ramp from a height of 3 m and then compresses a spring with a spring constant of 200 N/m. What is the maximum compression of the spring?

A motor does 6000 J of work in 30 seconds. What is the power output of the motor?

A 2 kg block is at rest on a horizontal surface. A constant horizontal force of 10 N is applied to the block, causing it to move 5 m. What is the work done by the applied force on the block?

A 1 kg block is released from rest on a ramp inclined at an angle $\theta$. The block is attached to a spring with spring constant $k$. Determine the equilibrium position of the block.

A 1 kg block slides down a ramp from a height of 5 m. At the bottom, its speed is 8 m/s. How much energy was lost due to friction?

A block of mass $m$ starts from rest at height $h$ on an inclined plane. It slides down and compresses a spring with spring constant $k$ at the bottom. If there is friction on the inclined plane with coefficient $\mu$, determine the compression in the spring.