Question 166: Gravitation

Question

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $$	imes$$ 103 km. Find the mass of Mars.$$\left\{ {Given\,{{4{\pi ^2}} \over G} = 6 	imes {{10}^{11}}{N^{ - 1}}{m^{ - 2}}k{g^2}} ight\}$$

Accepted Answer

Option D is correct.
$${T^2} = {{4{\pi ^2}} \over {GM}}.{r^3}$$
$$M = {{4{\pi ^2}} \over G}.{{{r^3}} \over {{T^2}}}$$
by putting values
$$M = 6 	imes {10^{23}}$$

Answer

5.96 $$	imes$$ 1019 kg

Answer

3.25 $$	imes$$ 1021 kg

Answer

7.02 $$	imes$$ 1025 kg

Answer

6.00 $$	imes$$ 1023 kg

Gravitation

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $\times 103 km. Find the mass of Mars.\left\{ {Given\,{{4{\pi ^2}} \over G} = 6 \times {{10}^{11}}{N^{ - 1}}{m^{ - 2}}k{g^2}} \right\}

Choose the correct answer: