A 1500-kg blue convertible is traveling south, and a 2000-kg red SUV is traveling west. If the total momentum of the system consisting of the two cars is 7200 kg · m/s directed at 60.0° west of south, what is the speed of each vehicle?

ANSWER: 0 The total momentum is, P = 7200 kg m/s towards 60 west of north. The two masses are, m = 1500 kg and m = 2000 kg . 1 2 The momentum is a vector quantity and as the vehicles are moving in such directions which are perpendicular to each other, the x and y components of the net momentum are p an1 p . 2 So, P = P +xP = py+ p 1 2 0 Where, p =xPcos 60 = 7200 × 0.5 = 3600. 0 P y Psin 60 = 7200 × 0.866 = 6235.38 So, v =1p /m1= 3100 / 1500 = 2.4 m/s. And, v =2p / 2 = 6235.38 / 2000 = 3.117 m/s. Conclusion: Each vehicle’s velocities are 2.4 m/s and 3.117 m/s.