Planet Mars has two moons, phobos and delmos. Phobos has a period of 7

1.	Planet Mars has two moons, phobos and delmos. Phobos has a period of 7 hours 39 minutes and orbital radius of 9.4 × 103 km. Calculate the mass of Mars. (G = 6.67 × 10-11 Nm2-kg-2)
Answer» We have, T² = \(\frac{4\pi^2}{GMm}R^3\) or M_m = \(\frac{4\pi^2}{G}.\frac{R^3}{T^2}\) \(\therefore\) M_m= \(\frac{4\times(3.15)^2\times(9.4\times10^3)^3}{6.67\times10^{-11}\times(459\times60)^2}\) = 6.48 x 10²³ kg

Planet Mars has two moons, phobos and delmos. Phobos has a period of 7 hours 39 minutes and orbital radius of 9.4 × 103 km. Calculate the mass of Mars. (G = 6.67 × 10-11 Nm2-kg-2)

Answer»

We have,

T² = \(\frac{4\pi^2}{GMm}R^3\)

or M_m = \(\frac{4\pi^2}{G}.\frac{R^3}{T^2}\)

\(\therefore\) M_m= \(\frac{4\times(3.15)^2\times(9.4\times10^3)^3}{6.67\times10^{-11}\times(459\times60)^2}\)

= 6.48 x 10²³ kg

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Planet Mars has two moons, phobos and delmos. Phobos has a period of 7 hours 39 minutes and orbital radius of 9.4 × 103 km. Calculate the mass of Mars. (G = 6.67 × 10-11 Nm2-kg-2)

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