Two crash-test cars are moving towards each other. One car is 1500 kg and is traveling at 30 m/s to the right, and the other car is 1000 kg and is traveling at 50 m/s to the left. The cars collide in a head-on collision in which the 1000 kg car breaks into two pieces: a 300 kg piece that continues moving in its original direction at 35 m/s and a 700 kg piece that is knocked backwards at 26 m/s. Assuming that it is still in one piece, what is the final speed of the 1500 kg car? In what direction is it moving? If the collision lasted 0.03 s, what was the average magnitude of force exerted on the 1500 kg car?
Two crash-test cars are moving towards each other. One car is 1500 kg and is traveling at 30 m/s to the right, and the other car is 1000 kg and is traveling at 50 m/s to the left. The cars collide in a head-on collision in which the 1000 kg car breaks into two pieces: a 300 kg piece that continues moving in its original direction at 35 m/s and a 700 kg piece that is knocked backwards at 26 m/s. Assuming that it is still in one piece, what is the final speed of the 1500 kg car? In what direction is it moving? If the collision lasted 0.03 s, what was the average magnitude of force exerted on the 1500 kg car?
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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Two crash-test cars are moving towards each other. One car is 1500 kg and is traveling at 30 m/s to the right, and the other car is 1000 kg and is traveling at 50 m/s to the left. The cars collide in a head-on collision in which the 1000 kg car breaks into two pieces: a 300 kg piece that continues moving in its original direction at 35 m/s and a 700 kg piece that is knocked backwards at 26 m/s.
- Assuming that it is still in one piece, what is the final speed of the 1500 kg car? In what direction is it moving?
- If the collision lasted 0.03 s, what was the average magnitude of force exerted on the 1500 kg car?
Expert Solution
Step 1
Given information:
Here, m1 and m2 are the mass of the cars and u1 and u2 are their respective initial speeds.
m300 and m700 are the mass of the pieces of the car of the m2 and v300 and v700 are their respective final speed.
Step 2
Consider the situation in the diagram below.
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