First slide

Universal law of gravitation

Question

Find the angular momentum of satellite of mass 400 kg moving around the earth in radius 4 x 10⁷m.

Moderate

A

50 x 10¹² kg m² /s
B

512 x 10⁴ kg m² /s
C

5 x 10¹² kg m² /s
D

512 x 10⁶ kg m² /s

Solution

Angular momentum = mvr
$\begin{array}{l} = m \sqrt{\frac{GM}{r}} r \\ = 400 \times \sqrt{\frac{6 .6 \times 10^{- 11} \times 6 \times 10^{24}}{4 \times 10^{7}}} \times 4 \times 10^{7} \\ = 3 .14 \times 10^{3} \times 16 \times 10^{9} \\ = 50 .24 \times 10^{12} {kgm}^{2} / s \end{array}$

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