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Question

Two masses 90 kg and 160 kg are at a distance 5 m apart. Compute the magnitude of intensity of the gravitational field at a point distance 3m from the 90 kg and 4m from the 160 kg mass. G=6.67 × 1011SI units..


A

9.43 x10-10Nkg-1

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B

4.43 x10-10Nkg-1

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C

6.43 x10-10Nkg-1

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D

0.43 x10-10Nkg-1

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Solution

The correct option is A

9.43 x10-10Nkg-1


Let A and B be the positions of the masses and P be the point at which the gravitational intensity is to be computed.


Gravitational intensity at P due to mass at A will be

EA =G9032 = 10G,along PA.

Gravitational intensity at P due to mass at B will be

En =G16042 = 10G,alongPB.

In Δ1APB,AB2 = AP2+PB2 (<APB=900)

Therefore the magnitude of resultant gravitational intensity at P will be E = EA2+EB2 = (10G)2+(10G)2 = 102G

= 102 × 6.67 × 1011 N/kg = 9.43 × 1010 N kg1


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