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Question: The earth (mass \(\left. = 6 \times 10 ^ { 24 } \mathrm {~kg} \right)\)) revolves round the sun with...

The earth (mass =6×1024 kg)\left. = 6 \times 10 ^ { 24 } \mathrm {~kg} \right)) revolves round the sun with angular velocity 2×107rad/s2 \times 10 ^ { - 7 } \mathrm { rad } / \mathrm { s } in a circular orbit of radius 1.5×108 km1.5 \times 10 ^ { 8 } \mathrm {~km}. The force exerted by the sun on the earth in newtons, is

A

18×102518 \times 10 ^ { 25 }

B

Zero

C

27×103927 \times 10 ^ { 39 }

D

36×102136 \times 10 ^ { 21 }

Answer

36×102136 \times 10 ^ { 21 }

Explanation

Solution

m=6×1024 kgm = 6 \times 10 ^ { 24 } \mathrm {~kg} ω=2×107rad/s\omega = 2 \times 10 ^ { - 7 } \mathrm { rad } / \mathrm { s } R=1.5×1011 mR = 1.5 \times 10 ^ { 11 } \mathrm {~m}

The force exerted by the sun on the earth

By substituting the value we can get,