A box is pushed up a 10-meter-long incline plane with a force of 100 N parallel to the incline. The incline makes an angle of 30 degrees with the horizontal. Calculate the work done in pushing the box up the incline.

A roller coaster car of mass 500 kg is at the top of a 20 m high hill. If it descends to a height of 5 meters, what is the change in its potential energy? $\displaystyle \begin{array}{*{20}{l}} {\left( {Take\text{ }g\text{ }=\text{ }10\,m/{{s}^{2}}} \right)} \\ {} \end{array}$

A machine lifts a 250 kg load to a height of 10 meters in 8 seconds. Calculate the power output of the machine.$ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

An object is moved by a force of 50 N across a frictionless surface for a distance of 6 meters. If the angle between the force and the displacement is 45 degrees, calculate the work done.

A pendulum bob of mass 0.5 kg is released from a height of 2 meters. What is its velocity at the lowest point of its swing? $ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

An electric motor exerts a constant force of 200 N to move an object at a constant speed of 4 m/s. Calculate the power developed by the motor.

A block of mass 5 kg is pulled up an incline plane of length 10 meters and height 5 meters by a force of 40 N acting parallel to the incline. Calculate the work done by the force.$ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

A 2 kg mass is attached to a spring with a spring constant of 100 N/m. The spring is compressed by 0.2 meters. Calculate the potential energy stored in the spring.

A car engine provides a power output of 100 kW. If the car travels with a constant speed of 25 m/s, calculate the force exerted by the engine.

An elevator lifts a 1200 kg load to a height of 30 meters in 20 seconds. Calculate the power output of the elevator motor.$ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

A 0.5 kg ball is thrown vertically upwards with an initial velocity of 15 m/s. Calculate the maximum height reached by the ball.$ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

A crane lifts a 500 kg load to a height of 25 meters in 30 seconds. Calculate the average power developed by the crane.$ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

A force of 80 N is applied at an angle of 30 degrees to the horizontal to move a 5 kg box over a distance of 12 meters. Calculate the work done by the force.$ \displaystyle \left( {Take\text{ }g=10\,m/{{s}^{2}}} \right)$

A 3 kg object is released from a height of 15 meters. Calculate its velocity just before it hits the ground.

A person weighing 700 N climbs a 6-meter-high ladder in 10 seconds. Calculate the power developed by the person.