Momentum

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A 6.0 g coin moving to the right at 21.0 cm/s makes an elastic head-on collision with a 20.0 g coin that is initially at rest. After the collision, the 6.0 g coin moves to the left at 12.5 cm/s.

a.) Find the final velocity of the other coin in centimeters.
b.) Find the amount of kinetic energy transferred to the 20.0 g coin.

  • Momentum -

    m1= 6•10^-3 kg, v1 = 0.21 m/s,
    m2 = 20•10^-3 kg, v2 = 0,
    u1 =0.125 m/s,
    u1 =? KE2 =?

    m1•v1 = - m1•u1 +m2•u2,
    u2 =2•m1•v1/(m1+m2) = 2•6• 10^-3•0.21/26•10^-3 =0.097 m/s
    KE2 =m2•u2²/2 =20•10^-3•(0.097)²/2 =9.41•10^-5 J.

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