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# CALC In an experiment, one of the forces exerted on a ISBN: 9780321675460 31

## Solution for problem 30E Chapter 7

University Physics | 13th Edition

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Problem 30E

CALC In an experiment, one of the forces exerted on a proton is where ? = 12 N/m2. (a) How much work does do when the proton moves along the straight-line path from the point (0.10 m, 0) to the point (0.10 m, 0.40 m)? (b) Along the straight-line path from the point (0.10 m, 0) to the point (0.30 m, 0)? (c) Along the straight-line path from the point (0.30 m, 0) to the point (0.10 m, 0)? (d) Is the force conservative? Explain. If is conservative, what is the potential-energy function for it? Let U = 0 when x = 0.

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Solution 30E x 2 Work done by a variable force, say F(x) is given by, W =F(x)dx…..(1), where x i1 x1 the initial displacement and x is the final displacement of the body. 2 2 Given that, F = x i Given, = 12 N/m 2 2 So, F = 12x i (a) When the body moves from the point (0.10 m,0) to (0.10 m, 0.40 m), there is displacement only along the y-axis, No displacement happens along the x-axis. The force F = 12x i acts along the x-axis. Hence force and displacement are perpendicular to each other. This signifies that work done by the given force for the given displacement is zero, because both are perpendicular to each other. (b) For the displacement (0.10 m,0) to (0.30 m,0), work done by the force is calculated as below. From equation (1), 0.30 W = ( 12x i )dx 1 0.10 x 3 0.30 W 1 = 12i ( 3 0.10...

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##### ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 30E from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “CALC In an experiment, one of the forces exerted on a proton is where ? = 12 N/m2. (a) How much work does do when the proton moves along the straight-line path from the point (0.10 m, 0) to the point (0.10 m, 0.40 m)? (b) Along the straight-line path from the point (0.10 m, 0) to the point (0.30 m, 0)? (c) Along the straight-line path from the point (0.30 m, 0) to the point (0.10 m, 0)? (d) Is the force conservative? Explain. If is conservative, what is the potential-energy function for it? Let U = 0 when x = 0.” is broken down into a number of easy to follow steps, and 103 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 30E from 7 chapter was answered, more than 338 students have viewed the full step-by-step answer. This full solution covers the following key subjects: point, path, straight, along, line. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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