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# Concepts A toy gun uses a spring with a force constant of ISBN: 9780130606204 3

## Solution for problem 63PE Chapter 7

Physics: Principles with Applications | 6th Edition

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Problem 63PE

Concepts A toy gun uses a spring with a force constant of 300 N/m to propel a 10.0-g steel ball. If the spring is compressed 7.00 cm and friction is negligible: (a) How much force is needed to compress the spring? (b) To what maximum height can the ball be shot? (c) At what angles above the horizontal may a child aim to hit a target 3.00 m away at the same height as the gun? (d) What is the gun’s maximum range on level ground?

Step-by-Step Solution:

Step-by-step solution Step 1 of 7 Power is the rate at which work is done, or in equation form, for the average power P for work W done over a time t. The SI unit for power is the watt (W) here 1 watt equals 1 joule/second. Step 2 of 7 (a). Calculate the magnitude of the force by the formula which is needed to compress the spring: Substitute for k and for , Hence, the magnitude of the force is . Step 3 of 7 (b). The maximum height the ball can be reached, is calculated as follows, Rearrange the equation in terms of , Substitute for k, for , for m and for , Hence, the maximum height the ball can be reached is . Step 4 of 7 (c). The angle above the horizontal that a child may aim to hit the target away at the same height as the gun is calculated by following formula, Rewrite the above formula for , Substitute for ,

Step 5 of 7

Step 6 of 7

##### ISBN: 9780130606204

This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The answer to “Concepts A toy gun uses a spring with a force constant of 300 N/m to propel a 10.0-g steel ball. If the spring is compressed 7.00 cm and friction is negligible: (a) How much force is needed to compress the spring? (b) To what maximum height can the ball be shot? (c) At what angles above the horizontal may a child aim to hit a target 3.00 m away at the same height as the gun? (d) What is the gun’s maximum range on level ground?” is broken down into a number of easy to follow steps, and 86 words. This full solution covers the following key subjects: spring, gun, height, maximum, ball. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 63PE from 7 chapter was answered, more than 581 students have viewed the full step-by-step answer. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The full step-by-step solution to problem: 63PE from chapter: 7 was answered by , our top Physics solution expert on 03/03/17, 03:53PM.

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