Lesson Worksheet: Potential Energy Mathematics

Fill in the blank: The potential energy of a particle of mass moving on the greatest slope line of a smooth inclined plane when it is at a height above the ground surface equals .

True or False: The change in the potential energy of a particle when it moves from an initial position to a final position is equal the work done by the force during the motion.

A body of mass 543 g is at a height of 22 m above the surface of the ground. Determine its gravitational potential energy relative to the ground, rounding your answer to two decimal places. Take .

A body of mass 4 kg had a gravitational potential energy of 2,136.4 joules relative to the ground. Determine its height. Consider the acceleration due to gravity to be 9.8 m/s².

A crane lifts a body of mass 132 kg to a height of 20 m. Find the increase in the body’s gravitational potential energy. Consider the acceleration due to gravity .

A helicopter of mass 2,630 kg descended vertically from a height of 250 m to a height of 150 m. Find its loss in gravitational potential energy. Consider the acceleration due to gravity to be and give your answer in scientific notation.

A body of mass 4 kg is moving down an inclined smooth plane with angle under its own weight. If the body starts its motion from rest, what is the change in the potential energy of the body, in joules, 2 seconds after it starts moving? Let .

A body of mass 8 kg moved 238 cm up the line of greatest slope of a smooth plane inclined at to the horizontal. Calculate the increase in its gravitational potential energy. Take .

A body is moving in a straight line from point to point under the action of the force . Given that the change in the body’s potential energy is 2 joules and that the displacement is in meters, determine the value of the constant .

A body is moving under the action of a constant force , where and are two perpendicular unit vectors. At time seconds, where , the body’s position vector relative to a fixed point is given by . Determine the change in the body’s potential energy in the first 9 seconds.