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7 October, 07:25

A1.0 kg cart moving right at 5.0 - - on a frictionless track

collides with a second cart moving left at 2.0 m/s.

The 1.0 kg cart has a final speed of 4.0 m/s to the left, and the

second cart has a final speed of 1.0 m/s

to the right.

What is the mass of the second cart?

Consider rightward as the positive direction.

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Answers (1)
  1. 7 October, 07:48
    0
    3.0 kg

    Step-by-step explanation:

    Momentum before collision = momentum after collision

    m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

    (1.0 kg) (5.0 m/s) + m (-2.0 m/s) = (1.0 kg) (-4.0 m/s) + m (1.0 m/s)

    5.0 kg m/s + m (-2.0 m/s) = - 4.0 kg m/s + m (1.0 m/s)

    9.0 kg m/s = m (3.0 m/s)

    m = 3.0 kg
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