The planet Mars has two moons, Phobos and Delmos. Phobos has a period of $$7$$ hours, $$39$$ minutes and an orbital radius of $9.4×{10}^{3}$ km. The mass of mars is:
1.
2.
3.
4.

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You are given the following data: g 9.81 $\mathrm{m}/{\mathrm{s}}^{2}$,  m, the distance to the moon, R = $3.84×{10}^{8}$ m and the time period of the moon’s revolution is 27.3 days. Mass of the Earth ${\mathrm{M}}_{\mathrm{E}}$ in two different ways is:

1.

2.

3.

4.

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Constant in days and kilometres is?

1.

2.

3.

4.

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The moon is at a distance of $$3.84\times10^5~\text{km}$$ from the earth. Its time period of revolution in days is: $$(\text{Given }k=\frac{4\pi^2}{GM_E}=1.33\times10^{-14}~\text{days}^{2}-\text{km}^{-3})$$
1. $$17.3$$ days
2. $$33.7$$ days
3. $$27.3$$ days
4. $$4$$ days
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A $$400$$ kg satellite is in a circular orbit of radius $$2R_E$$ (where $$R_E$$ is the radius of the earth) about the Earth. How much energy is required to transfer it to a circular orbit of radius $$4R_E$$$$?$$ (Given $$R_E=6.4\times10^{6}$$ m)
${\mathrm{}}_{}$1. $$3.13\times10^{9}$$ J
2. $$3.13\times10^{10}$$ J
3. $$4.13\times10^{9}$$ J
4. $$4.13\times10^{8}$$ J

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A 400 kg satellite is in a circular orbit of radius $2{\mathrm{R}}_{\mathrm{E}}$ about the Earth. What are the changes in the kinetic and potential energies respectively to transfer it to a circular orbit of radius $4{\mathrm{R}}_{\mathrm{E}}.$ (where ${\mathrm{R}}_{\mathrm{E}}$ is the radius of the earth)

1.

2.

3.

4.

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