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 × 10−11SI units..
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 = 10√2G
= 10√2 × 6.67 × 10−11 N/kg = 9.43 × 10−10 N kg−1