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JEE Main 2016 (10 Apr, Shift 1 (one Or More Correct)) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from JEE Main 2016 (10 Apr, Shift 1 (one Or More Correct))

Q32JEE Main 2016 · 10 APR · SHIFT 1 (One or more correct)Medium

Satellite Energy & Weightlessness

An astronaut of mass m is working on a satellite orbiting the earth at a distance h from the earth’s surface. The radius of the earth is R, while its mass is M. The gravitational pull FG on the astronaut is:

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Answer: (b)

  1. Weightlessness means no normal reaction, not zero gravity; gravity still supplies the centripetal force.
  2. At distance R+hR + h from the centre: FG=GMm(R+h)2F_G = \frac{GMm}{(R+h)^2}.
  3. Since R+h>RR + h > R, this value is less than GMmR2\frac{GMm}{R^2} but greater than zero, so 0<FG<GMmR20 < F_G < \frac{GMm}{R^2}.
  4. So the answer is (b) 0<FG<GMmR20 < F_G < \frac{GMm}{R^2}.
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