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Lesson: Potential Energy

Sample Question Videos

Worksheet • 21 Questions • 1 Video

Q1:

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 s 2 .

Q2:

A body of mass 3 kg had a gravitational potential energy of 1 528.8 joules relative to the ground. Determine its height. Consider the acceleration due to gravity to be 9 . 8 / m s 2 .

Q3:

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 𝑔 = 9 . 8 / m s 2 .

Q4:

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 𝑔 = 9 . 8 / m s 2 .

Q5:

A particle is moving from point ( 9 , 3 ) to point ( βˆ’ 7 , 9 ) under the action of the conservative force ⃑ 𝐹 = βˆ’ 1 0 ⃑ 𝑖 βˆ’ 7 ⃑ 𝑗 dynes. Determine the change in the particle’s potential energy, given that the displacement is in centimetres.

Q6:

A particle is moving from point ( 8 , βˆ’ 1 ) to point ( βˆ’ 1 0 , βˆ’ 3 ) under the action of the conservative force ⃑ 𝐹 = 6 ⃑ 𝑖 βˆ’ 3 ⃑ 𝑗 dynes. Determine the change in the particle’s potential energy, given that the displacement is in centimetres.

Q7:

A body of mass 8 kg moved 238 cm up the line of greatest slope of a smooth plane inclined at 3 0 ∘ to the horizontal. Calculate the increase in its gravitational potential energy. Take 𝑔 = 9 . 8 / m s 2 .

Q8:

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 𝑔 = 9 . 8 / m s 2 .

  • A 1 . 0 2 9 Γ— 1 0 8 ergs
  • B 1 . 0 2 9 Γ— 1 0 5 ergs
  • C 1 . 0 2 9 Γ— 1 0 3 ergs
  • D 1 . 0 2 9 Γ— 1 0 6 ergs

Q9:

A body of mass 7 kg moved 52 cm up the line of greatest slope of a smooth plane inclined at 6 0 ∘ to the horizontal. Find the increase in its gravitational potential energy. Take 𝑔 = 9 . 8 / m s 2 .

  • A 30.89 joules
  • B 35.67 joules
  • C 3 567.2 joules
  • D 3 089.29 joules

Q10:

A body of mass 3 kg moved 120 cm up the line of greatest slope of a smooth plane inclined at 3 0 ∘ to the horizontal. Find the increase in its gravitational potential energy. Take 𝑔 = 9 . 8 / m s 2 .

  • A 17.64 joules
  • B 35.28 joules
  • C 3 528 joules
  • D 1 764 joules

Q11:

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 𝑔 = 9 . 8 / m s 2 .

  • A 117.07 J
  • B 117 070.80 J
  • C 58 535.40 J
  • D 58.54 J

Q12:

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 𝑔 = 9 . 8 / m s 2 .

  • A 56.84 J
  • B 56 840.00 J
  • C 28 420.00 J
  • D 28.42 J

Q13:

A helicopter of mass 3 830 kg descended vertically from a height of 370 m to a height of 280 m. Find its loss in gravitational potential energy. Consider the acceleration due to gravity to be .

  • A J
  • B J
  • C J
  • D J

Q14:

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 .

  • A J
  • B J
  • C J
  • D J

Q15:

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

Q16:

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

Q17:

A body is moving in a straight line from point 𝐴 ( βˆ’ 6 , 0 ) to point 𝐡 ( βˆ’ 5 , 4 ) under the action of the force ⃑ 𝐹 = ο€Ί π‘š ⃑ 𝑖 + 2 ⃑ 𝑗  N . 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 π‘š .

  • A βˆ’ 1 0
  • B6
  • C1
  • D βˆ’ 6

Q18:

A body is moving in a straight line from point 𝐴 ( 5 , βˆ’ 7 ) to point 𝐡 ( βˆ’ 7 , 5 ) under the action of the force ⃑ 𝐹 = ο€Ί π‘š ⃑ 𝑖 + 4 ⃑ 𝑗  N . Given that the change in the body’s potential energy is βˆ’ 8 4 joules and that the displacement is in metres, determine the value of the constant π‘š .

  • A βˆ’ 3
  • B6
  • C βˆ’ 1 1
  • D11

Q19:

A body is moving under the action of a constant force ⃑ 𝐹 = ο€Ί 5 ⃑ 𝑖 + 3 ⃑ 𝑗  N , where ⃑ 𝑖 and ⃑ 𝑗 are two perpendicular unit vectors. At time 𝑑 seconds, where 𝑑 β‰₯ 0 , the body’s position vector relative to a fixed point is given by ⃑ π‘Ÿ =  ( 𝑑 + 4 ) ⃑ 𝑖 + ( 4 𝑑 + 8 ) ⃑ 𝑗  2 2 m . Determine the change in the body’s potential energy in the first 9 seconds.

Q20:

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.

Q21:

A person of mass 105 kg was hiking up a hill which was inclined to the horizontal at an angle whose sine is 1 3 . Given that he covered a distance of 87 m, find the change in his gravitational potential energy. Take 𝑔 = 9 . 8 / m s 2 .

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