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# A planet has mass m1 and is at a distance r, from the sun. A second planet has m...

### Question

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

### Explanation:

g = $$\frac{GM}{R^2}$$

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

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

$$\frac{G_1}{G_2}$$ = $$\frac{2}{5}$$

## Dicussion (1)

• g = $$\frac{GM}{R^2}$$

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

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

$$\frac{G_1}{G_2}$$ = $$\frac{2}{5}$$