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24 May, 03:41

Suppose this comet were to hit the earth at 40000 km/h and fuse with it. by how much would it change our planet's velocity? (the mass of the earth is 5.97*1024kg)

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  1. 24 May, 03:57
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    change in velocity = final velocity - initial velocity = v - u

    for comet:

    uc = initial velocity of comet (before impact)

    vc = final velocity of comet

    mc = mass of comet

    uc = 40000 kmph

    vc = ?

    mc = 10 x 10^14 kg

    for probe:

    up = initial velocity of probe (before impact)

    vp = final velocity of probe

    mp = mass of probe

    up = 37000 kmph

    vp = ?

    mp = 372 kg

    Now,

    by principle of conservation of momentum

    (mc x uc) - (mp x up) = (mc x vc) + (mp x vp)

    Since probe is in comet after collision, vp = vc = V

    then,

    (mc x uc) - (mp x up) = V (mc + mp)

    V = [ (mc x uc) - (mp x up) ] / (mc + mp)

    = ((10 * 10^14 * 40000) - (372 * 37000)) : ((10 * 10^14) + 372)

    = ?

    then,

    change in velocity of the comet = ? - (40000) =
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