Question on: JAMB Physics - 1997

A planet has mass m1 and is at a distance r, from the sun. A second planet has mass m2 = 10m1 and at a distance of r2 = 2r1 from the sun. Determine the ratio of the gravitational force experienced by the planets.

A
1 : 5
B
2 : 5
C
3 : 5
D
4 : 5
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Correct Option: B

g = (\frac{GM}{R^2})

(\frac{G_1M_1}{r^2_1}) = (\frac{G_2M_2}{r^2_2})

(\frac{G_1M_1}{r^2_1}) = (\frac{G_2 {\times}10 M_1}{(2r_1)^2})

(\frac{G_1}{G_2}) = (\frac{2}{5})

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