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12 August, 11:12

A 0.280-kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. (A) What is the mass of the second ball?

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  1. 12 August, 13:40
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    mass of second ball is 0.84 kg

    Explanation:

    mass of ball = 0.280 kg

    to find out

    mass of the second ball

    solution

    we know here elastic head on collision and

    second ball moves = half the original speed

    we consider here m1 mass of 1st ball and m2 mass of second ball

    v1 = velocity of first ball before collision

    v2 = velocity of second ball before collision

    v3 = velocity of first ball after collision

    v4 = velocity of second ball after collision

    so here

    we know 2nd ball was on rest so v2 = 0

    after collision v4 = 1/2 (v1)

    and we know head on collision so

    v3 = - v1/2

    so from law of conservation of mass

    m1v1 + m2v2 = m1v3 + m2v4

    put here value

    m1v1 + m2 (0) = m1 (-v1/2) + m2 (v1/2)

    solve and we get

    m2 = 3m1

    m2 = 3 (0.280) = 0.84

    mass of second ball is 0.84 kg
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