Questions
A bodyweighs 72 Non the surface of the earth. What is the gravitational force on it due to earth at a height equal to half the radius of the earth from the surface ?
a
16 N
b
28 N
c
32 N
d
72 N
detailed solution
Correct option is C
Let W1 be the weight of the body on the surface of the earth. If W2 be the gravitational force on the body due to earth at height R2 above the surface of the earth, thenW1W2=g1g2=R22R12where R1 =radius of the earth.Here R1 = R and R2 =R+R2∴ W1W2=R+R2R2=94Or W2=W1×49=72×49=32NTalk to our academic expert!
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