Tuesday, September 6, 2022

9702_s22_qp_11 Question 18

Objects with different masses are placed on the horizontal surface of a table. The objects are then raised to different heights above the table. The gain in gravitational potential energy of each object is the same. 

Which graph best shows the variation of the height h of the objects above the table with their mass m?



ANSWER: A

The Physics Behind
  • The change in gravitational potential energy is the weight of the object multiplied by the change in height.
ΔEp = mg Δh
Ep = mgh when initial height is set as reference point
  • In the above question, the following are held the same / constant.
    • Ep
    • g
  • With these 2 quantities unchanged, we can see from the equation that h is inversely proportional to m. This is shown graphically in option A.









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