A body weighs 72 Non the surface of the earth.

Jayden Mckay

Jayden Mckay

Answered question

2022-05-19

A body weighs 72 Non the surface of the earth. Calculate the gravitational force on it due to the earth at a height equal to half of radius of the earth.

Answer & Explanation

Gallichi5mtwt

Gallichi5mtwt

Beginner2022-05-20Added 18 answers

Step 1
Given Data:
mg=72 N {weight of body on the surface}
Step 2
Formula used:
Acceleration due to gravity at height h = R 2
g h = g R 2 ( R + h ) 2
g h = g R 2 ( R + R 2 ) 2 = g R 2 ( 3 R 2 ) 2
g h = 4 9 g - (i)
Step 3
Solution :-
Gravitional force at R 2 above the earth
F = m g h
F = m ( 4 9 g )
F = 4 9 ( m g )
F = 4 9 ( 72 )
F = 32   N

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