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Question

Question: The mass of the moon is <img src="https://cdn.pureessence.tech/canvas_218.png?top_left_x=523&top_lef...

The mass of the moon is and the radius is 1.74×106 m1.74 \times 10 ^ { 6 } \mathrm {~m}. The value of gravitation force will be

A

1.45 N/kg

B

1.55 N/kg

C

1.75 N/kg

D

1.62 N/kg

Answer

1.62 N/kg

Explanation

Solution

g=GMR2=6.67×1011×7.34×1022(1.74×106)2=1.62 N/kgg = \frac { G M } { R ^ { 2 } } = \frac { 6.67 \times 10 ^ { - 11 } \times 7.34 \times 10 ^ { 22 } } { \left( 1.74 \times 10 ^ { 6 } \right) ^ { 2 } } = 1.62 \mathrm {~N} / \mathrm { kg }