One can easily weighs the earth by calculating the mass of the earth by using the formula (in usual notation)

# One can easily weighs the earth by calculating the mass of the earth by using the formula (in usual notation)

1. A

$\frac{\mathrm{G}}{\mathrm{g}}{\mathrm{R}}_{\mathrm{E}}^{2}$

2. B

$\frac{\mathrm{g}}{\mathrm{G}}{\mathrm{R}}_{\mathrm{E}}^{2}$

3. C

$\frac{\mathrm{g}}{\mathrm{G}}{\mathrm{R}}_{\mathrm{E}}$

4. D

$\frac{\mathrm{G}}{\mathrm{g}}{\mathrm{R}}_{\mathrm{E}}^{3}$

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### Solution:

$\mathrm{g}=\frac{{\mathrm{GM}}_{\mathrm{E}}}{{\mathrm{R}}_{\mathrm{E}}^{2}}⇒{\mathrm{M}}_{\mathrm{E}}=\frac{\mathrm{g}\cdot {\mathrm{R}}_{\mathrm{E}}^{2}}{\mathrm{G}}$

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