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
Correct Answer: Option B
Explanation
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})