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# Suppose the sled in Exercise 6.36 is initially at rest at ISBN: 9780321675460 31

## Solution for problem 35E Chapter 6

University Physics | 13th Edition

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Problem 35E

Suppose the sled in Exercise 6.36 is initially at rest at x = 0. Use the work–energy theorem to find the speed of the sled at (a) x = 8.0 m and (b) x = 12.0 m. Ignore friction between the sled and the surface of the pond. 6.36 . A child applies a force parallel to the x -axis to a 10.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x -component of the force she applies varies with the x -coordinate of the sled as shown in ?Fig. E6.36.? Calculate the work done by when the sled moves (a) from x = 0 to x = 8.0 m; (b) from x = 8.0 m to x = 12.0 m; (c) from x = 0 to 12.0 m.

Step-by-Step Solution:

Solution 35E Step 1: Step 2: Consider work done W = F * x W = Area under F v/s x graph. W = K.E All work being converted to kinetic energy because there is no friction or potential energy does not change. Speed of the sled at x = 8.0 m. 2 ½ mv = 40 J ½ (10 kg)v = 40 J 5v = 40 J v = 2.82 m/s. Speed of the sled at x = 12.0 m. ½ mv = 60 J ½ (10 kg)v = 60 J 5v = 60 J v = 3.46 m/s Step3: (a).work done by F when sleds move from x = 0 m to x = 8.0 m. W =½ F (N)x x W =½ (10 N)(8 m) W = 40 J.

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##### ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: sled, Child, speed, surface, applies. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 35E from chapter: 6 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “Suppose the sled in Exercise 6.36 is initially at rest at x = 0. Use the work–energy theorem to find the speed of the sled at (a) x = 8.0 m and (b) x = 12.0 m. Ignore friction between the sled and the surface of the pond. 6.36 . A child applies a force parallel to the x -axis to a 10.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x -component of the force she applies varies with the x -coordinate of the sled as shown in ?Fig. E6.36.? Calculate the work done by when the sled moves (a) from x = 0 to x = 8.0 m; (b) from x = 8.0 m to x = 12.0 m; (c) from x = 0 to 12.0 m.” is broken down into a number of easy to follow steps, and 141 words. Since the solution to 35E from 6 chapter was answered, more than 1900 students have viewed the full step-by-step answer.

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