A sphere of mass 40 kg is attracted by another sphere of mass 15 kg with a force of 9.8*10^-7 N. Find the value of the universal gravitational constant if the centres
of spheres are 20 cm apart.
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Answer:
Given:
M1= 40kg
M2=15kg
F=9.8×10^-7N
r=20cm=20/100=0.2m
F=G×M1×M2/r^2
9.8×10^-7= G×40×15/(0.2)^2
9.8×10^-7= G× 600/0.04
9.8×10^-7×0.04/600 =G
G= 3.92×10^-8/600
G= 3.92×10^-8/ 6×(10)^2
G= 3.92×10^-8-2/6
G=3.92×10^-11/6
G= 6.56×10-11 Nm^2 Kg^-2
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