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11 March, 07:50

In a science fiction novel two enemies, Bonzo and Ender, are fighting in outer spce. From stationary positions, they push against each other. Bonzo flies off with a velocity of 1.3 m/s, while Ender recoils with a velocity of - 3.1 m/s. Determine the ratio mBonzo/mEnder of the masses of these two enemies?

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  1. 11 March, 08:02
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    2.461

    Explanation:

    Let mass of Bonzo = m1

    Mass of Ender = m2

    When they push eachother from stationary position

    Initial velocity of Bonzo = Vib=0 m/s

    Final velocity of Bonzo = Vfb = 1.3 m/s

    Initial velocity of Ender = Vie = 0 m/s

    Final velocity of Ender = Vfe = - 3.1 m/s

    We know initial momentum = final momentum

    ==> m1Vib+m2Vie = m1Vfb+m2Vfe

    ==> 0+0 = m1*1.3 + m2 * (-3.1)

    ==> 1.3m1-3.1m2=0

    ==> 1.3 m1 = 3.2 m2

    ==> m1/m2 = 3.2/1.3

    ==> m1/m2 = 2.461
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