Answered: a) A car stopped at an intersection has…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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a) A car stopped at an intersection has a mass 850 kg. It is rear-ended by a 300 kg truck traveling with a speed of 12.5 m/s. Assuming the collision is elastic, find the speed of each vehicle after the collision.
b) For an elastic collision, is kinetic energy conserved?

Expert Solution

Part a:

$Given, m_{1} = 850 kg m_{2} = 300 kg u_{1} = 0 u_{2} = 12.5 m / s$

Step 2

$From conservation of momentum, m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2} 850 (0) + 300 (12.5) = 850 V_{1} + 300 V_{2} 850 V_{1} + 300 V_{2} = 3750 - - - - - Equation (1)$

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