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n principle, any time someone jumps up, the Earth moves in the opposite direction. To see why we are unaware of this motion, calculate the r
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n principle, any time someone jumps up, the Earth moves in the opposite direction. To see why we are unaware of this motion, calculate the recoil speed of the Earth when a 75 kg person jumps upward at a speed of 2.0 m/s
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Physics
3 years
2021-07-26T11:48:07+00:00
2021-07-26T11:48:07+00:00 1 Answers
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Answer:
Explanation:.
Given that,
Let the mass of the person be
m = 75kg
Mass of the earth is
M = 6 × 10²⁴ kg
Spend of the person is
v = 2m/s.
Let the recoil speed of the earth be V.
Using conservation of momentum
P(initial) = P(final)
Initial momentum is 0
Pi = Pf
0 = mv + MV
V = —mv/M
V = — 75 × 2 / 6×10²⁴
V = —2.5×10^-23 m/s
Therefore, the recoil speed of the earth is 2.5×10^-23 and it is very very small, therefore, it is unmeasurable.