Momentum question?

2 carts both 3kg and 1.2 kg are moving at 2.5m/s and 1.8m/s respectively, these 2 carts move directly at each other and collide, the 2 carts sticks together after the collision, find the velocity of the system post collision.

3 Answers

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  • 6 months ago

    For cart #1, initial momentum = 3 * 2.5 = 7.5 kg * m/s

    Since the second cart is moving toward the first cart, its initial velocity is negative.

    For the second cart, initial momentum = 1.2 * -1.8 = -2.16 kg * m/s

    Total initial momentum = 7.5 – 2.16 = 5.34 kg * m/s

    Total mass = 3 + 1.2 = 4.2 kg

    Final momentum = 4.2 * v

    4.2 * v = 5.34

    v = 5.34 ÷ 4.2

    This is approximately 1.3 m/s. I hope this is helpful for you.

  • 6 months ago

    Vector momentum before = vector momentum after:

    3*2.5 -1.2*1.8 = 7.5 - 2.16 = 5.34kg•m/s

    5.34 = (3+1.2)V ------> 5.34/(3+1.2) = V = 1.27 or ≈ 1.3m/s <<<<<

  • alex
    Lv 7
    6 months ago

    same direction

    3(2.5)+1.2(1.8) = 4.2(v)

    solve for v

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