Left cart A was 1 kg, moving at 3 ms to the right; slow cart B was 2 kg, moving

Question

Left cart A was 1 kg, moving at 3 ms to the right; slow cart B was 2 kg, moving at 1 ms to the right. The carts collide at x=0 and t=0, and they stick together after collision, but continue rolling well. part A: What is the carts' total mass, after collision? Express your answer to 2 sig figs, in kg units partB:What is the cart's total momentum, after collision? partC: What is the carts' velocity, after collision? part D: If the slow cart had been moving to the left (rather than the right), what would've been the carts' velocity after collision?

Explanation / Answer

A)

M = total mass = mA + mB = 1 + 2 = 3.0 kg

B)

Momentum after collision = Momentum before collision = mA VA + mB VB = (1) (3) + (2) (1) = 5 kgm/s

C)

Momentum after collision = M V = 5

(3) V = 5

V = 1.67 m/s

D)

using conservation of momentum

MV = mA VA - mB VB

3 V = (1) (3) - (2) (1)

V = 1/3 m/s

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