A cart moves east at while a cart moves east at

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

1.0\,\text{kg}

cart moves east at

2.0\,\text{m\,s}^{-1}

while a

3.0\,\text{kg}

cart moves east at

1.0\,\text{m\,s}^{-1}

. A third cart of mass

2.0\,\text{kg}

is to be added so that the combined center-of-mass velocity of all three carts is

1.0\,\text{m\,s}^{-1}

east. What velocity must the third cart have just before it joins the system? (a)

1.5\,\text{m\,s}^{-1}

east (b)

0.50\,\text{m\,s}^{-1}

west (c)

0.50\,\text{m\,s}^{-1}

east (d)

1.0\,\text{m\,s}^{-1}

east