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Get Full Access to University Physics - 13 Edition - Chapter 7 - Problem 18e
Get Full Access to University Physics - 13 Edition - Chapter 7 - Problem 18e

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# A slingshot will shoot a 10-g pebble 22.0 m straight up. ISBN: 9780321675460 31

## Solution for problem 18E Chapter 7

University Physics | 13th Edition

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Problem 18E

A slingshot will shoot a 10-g pebble 22.0 m straight up. (a) How much potential energy is stored in the slingshot’s rubber band? (b) With the same potential energy stored in the rubber band, how high can the slingshot shoot a 25-g pebble? (c) What physical effects did you ignore in solving this problem?

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Solution 18E a) Mass of the pebble is 10 g. It can reach a height of 22 meters by a slingshot. The gravitational potential energy it would acquire there is, G.P.E = mgh = 0.01 × 9.8 × 22 = 2.156 J . As we know the conservation of mechanical energy, the potential energy stored in the rubber band must have converted into the kinetic energy of the pebble and then again would have converted to gravitational potential energy by reaching the height of 22 meters. So, the potential energy stored in the rubber band must be 2.156 J. b) With the same potential energy, a 25 g pebble would reach a height of, 2.156 J = mgh 2.156 = 0.025 × 9.8 × h h = 2.156 / (0.025 × 9.8) = 2.156 / 0.245 = 8.8 meters. It would reach a height of 8.8 meters. c) Here we have ignored the air resistance for which the mechanical energy could not have conserved. The total energy is always conserved, but the air friction would have increased the heat energy which would have been a decrease in mechanical energy.

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##### ISBN: 9780321675460

This full solution covers the following key subjects: slingshot, shoot, band, Energy, stored. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 18E from 7 chapter was answered, more than 685 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 18E from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “A slingshot will shoot a 10-g pebble 22.0 m straight up. (a) How much potential energy is stored in the slingshot’s rubber band? (b) With the same potential energy stored in the rubber band, how high can the slingshot shoot a 25-g pebble? (c) What physical effects did you ignore in solving this problem?” is broken down into a number of easy to follow steps, and 54 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460.

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