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# Application A 30,000-kg freight car is coasting at 0.850 ISBN: 9780130606204 3

## Solution for problem 36PE Chapter 8

Physics: Principles with Applications | 6th Edition

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Problem 36PE

Application A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. (a) What is the final velocity of the loaded freight car? (b) How much kinetic energy is lost?

Step-by-Step Solution:

Step-by-step solution In this problem a freight car is coasting with negligible friction under a hopper that dumps scrap metal ,so calculate the final velocity of the loaded freight car and the loss in kinetic energy as per the given data respectively. Step 1 of 7 (a) For a collision, the momentum is conserved. Therefore the expression of conservation of momentum is, Here is the mass of freight car, is the mass of scrap metal, is the velocity of freight car, is the velocity of scrap metal and is the velocity after collision. Step 2 of 7 Substitute, , for , and in the above expression of the conservation of momentum, Hence, the recoil velocity is . Step 3 of 7 (b) The expression of initial kinetic energy is: Here is the mass of freight car, is the mass of scrap metal, is the velocity of freight car and is the velocity of scrap metal. Step 4 of 7 Substitute in the above equation, Hence, the initial kinetic energy is 10837.5 J

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##### ISBN: 9780130606204

This full solution covers the following key subjects: Car, freight, kinetic, dumps, Energy. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. The full step-by-step solution to problem: 36PE from chapter: 8 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The answer to “Application A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. (a) What is the final velocity of the loaded freight car? (b) How much kinetic energy is lost?” is broken down into a number of easy to follow steps, and 43 words. Since the solution to 36PE from 8 chapter was answered, more than 460 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6.

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