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

Question

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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Eirian 3 years 2021-07-26T11:48:07+00:00 1 Answers 11 views 0

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  1. mocmien2
    0
    2021-07-26T11:49:08+00:00
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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.

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