Worksheet: Potential Energy

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 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 7.5 kg is at a height of 14 cm above the ground. Determine the potential energy of the body relative to the ground, take .

A man of mass 92 kg is going from the sixth floor to the tenth floor in a lift. Given that the height of each floor is 3.3 m, determine the gain in gravitational potential energy. Consider the acceleration due to gravity to be 9.8 m/s².

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 7 kg moved 52 cm up the line of greatest slope of a smooth plane inclined at to the horizontal. Find the increase in its gravitational potential energy. Take .

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 person of mass 105 kg was hiking up a hill which was inclined to the horizontal at an angle whose sine is . Given that he covered a distance of 87 m, find the change in his gravitational potential energy. Take .

A ball of mass 317 g was projected vertically upwards at 29 m/s from a point . It passed through a point , at 21 m/s, where is vertically above . Neglecting air resistance, use the work-energy principle to find the increase in the ball’s gravitational potential energy as it moved from to .

A particle is moving from point to point under the action of the conservative force dynes. Determine the change in the particle’s potential energy, given that the displacement is in centimetres.

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 metres, 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.

A crane lifts a body of mass 101 kg to a height of 6 m. Find the increase in the body’s gravitational potential energy. Consider the acceleration due to gravity .

A particle is moving from point to point under the action of the conservative force dynes. Determine the change in the particle’s potential energy, given that the displacement is in centimetres.

A body of mass 3 kg moved 120 cm up the line of greatest slope of a smooth plane inclined at to the horizontal. Find the increase in its gravitational potential energy. Take .

A body of mass 580 g is at a height of 10 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 helicopter of mass 2,550 kg descended vertically from a height of 190 m to a height of 130 m. Find its loss in gravitational potential energy. Consider the acceleration due to gravity to be and give your answer in Scientific Notation .

A ball of mass 334 g was projected vertically upwards at 22 m/s from a point . It passed through a point , at 18 m/s, where is vertically above . Neglecting air resistance, use the work-energy principle to find the increase in the ball’s gravitational potential energy as it moved from to .

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 joules and that the displacement is in metres, determine the value of the constant .