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?
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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.
Textbook: University Physics
Author: Hugh D. Young, Roger A. Freedman
This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 71P from 8 chapter was answered, more than 438 students have viewed the full step-by-step answer. The answer to “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?” is broken down into a number of easy to follow steps, and 45 words. This full solution covers the following key subjects: west, traveling, South, convertible, directed. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 71P from chapter: 8 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.