The weight of a body at the surface of earth is 18   N . The weight of the body at an altitude of 3200…

The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth Re=6400 km)
  1. 9.8 N
  2. 4.9 N
  3. 19.6 N
  4. 8 N

Solution

As height of the object is considerable compared to the radius of the earth, therefore approximation formula can not be used.

So weight at given height,

F=mg'=GMmR+R22=49GMmR2

mg'=49(mg)

=49×18

=8 N

Asked in: JEE Main 2023 (24 Jan Shift 1)

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