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JEE Main 2021 (20 Jul, Shift 1) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2021 (20 Jul, Shift 1)

Q96JEE Main 2021 · 20 JUL · SHIFT 1Medium

Acceleration Due to Gravity

A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the surface of the Earth and Mars as 10 m/s2 and 4 m/s2 respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.

Figure

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Answer: (b)

  1. On Earth: W=100×10=1000W = 100 \times 10 = 1000 N; on Mars: W=100×4=400W = 100 \times 4 = 400 N.
  2. Leaving Earth, Earth's pull falls as 1/r21/r^2 while Mars' pull grows, so the net weight falls non-linearly.
  3. At the neutral point the two pulls cancel, so weight becomes zero; then it rises to 400 N near Mars.
  4. Weight (a magnitude) cannot be negative, so the curve touching zero and rising to 400 N is curve (c).
  5. So the answer is option (b), i.e. curve (c).
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