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Three different stones are lifted from the ground level to different heights on different planets as given below: Case 1: A 250 g stone lifted to 10 m on earth. Case 2: A 800 g stone lifted to 2 m on Saturn Case 3: A 1 kg stone lifted to 1 m on Jupiter. Which of the following statements is true? (Given that the acceleration due to gravity on the Earth, the saturn and the Jupiter are 10 m s-2, 15 m s-2 and 25 m s-2 respectively).

Three different stones are lifted from the ground level to different heights on different planets as given below: Case 1: A 250 g stone lifted to 10 m on earth. Case 2: A 800 g stone lifted to 2 m on Saturn Case 3: A 1 kg stone lifted to 1 m on Jupiter. Which of the following statements is true? (Given that the acceleration due to gravity on the Earth, the saturn and the Jupiter are 10 m s-2, 15 m s-2 and 25 m s-2 respectively). Correct Answer Case 1 and case 3 require the same amount of energy

CONCEPT:

  • Potential energy: The energy of an object due to its position is called potential energy. It is denoted by PE.

Mathematically potential energy can be written as 

P.E of object =  m g h

​​Where m = mass of an object, g = acceleration due to gravity, and h = height

CALCULATION:

Case 1 (Earth) Case 2 (Saturn) Case 3 (Jupiter)
Give that: Mass (m) = 250 g = 0.25 kg; g = 10 m/s2 and height (h) = 10 m Give that: Mass (m) = 800 g = 0.8 kg; g = 15 m/s2 and height (h) = 2 m Give that: Mass (m) = 1 kg; g = 25 m/s2 and height (h) = 1 m
P.E of stone =  m g h = 0.25 × 10 × 10 = 25 J P.E of stone =  m g h = 0.8 × 15 × 2 = 24 J P.E of stone =  m g h = 1 × 25 × 1 = 25 J
  • So case 1 and case 3 require the same amunt of energy. Hence option 4 is correct.

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