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Question

Question: The distance between centre of the earth and moon is 384000 km. If the mass of the earth is \(6 \tim...

The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6×10246 \times 10 ^ { 24 }kg and The speed of the moon is nearly

A

1 km / sec

B

4 km / sec

C

8 km / sec

D

11.2 km / sec

Answer

1 km / sec

Explanation

Solution

Orbital velocity v=GMr=6.67×1011×6×102438400×103v = \sqrt { \frac { G M } { r } } = \sqrt { \frac { 6.67 \times 10 ^ { - 11 } \times 6 \times 10 ^ { 24 } } { 38400 \times 10 ^ { 3 } } }