Two identical carts

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

Two identical carts, each of mass

0.50\,\text{kg}

, move frictionlessly on a horizontal air track. Cart A travels due east at

4.0\,\text{m/s}

, while cart B travels due north at

3.0\,\text{m/s}

. The carts collide elastically. Immediately after the collision, cart A is observed to move at

3.0\,\text{m/s}

at an angle of

16^{\circ}

south of east. What is the speed of cart B immediately after the collision? (a)

2.0\,\text{m/s}

(b)

5.0\,\text{m/s}

(c)

4.0\,\text{m/s}

(d)

3.2\,\text{m/s}