A toy gun uses a spring with a force constant of 425 N/m to propel a 14.0 g steel ball. The spring is compressed 7.40 cm and friction is negligible. (a) How much force (in N) is needed to compress the spring? (Assume the gun is aimed in the positive direction. Indicate the direction with the sign of your answer.) Answer: _________________ N (b) To what maximum height (in m) can the ball be shot? Answer: _________________ m (c) At what angles above the horizontal (in degrees) may a child aim to hit a target 3.00 m away at the same height as the gun? (Enter your ans

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 29P
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A toy gun uses a spring with a force constant of 425 N/m to propel a 14.0 g steel ball. The spring is compressed 7.40 cm and friction is negligible.
(a)
How much force (in N) is needed to compress the spring? (Assume the gun is aimed in the positive direction. Indicate the direction with the sign of your answer.)
Answer: _________________ N
(b)
To what maximum height (in m) can the ball be shot?
Answer: _________________ m
(c)
At what angles above the horizontal (in degrees) may a child aim to hit a target 3.00 m away at the same height as the gun? (Enter your answers to at least two decimal places.)
Answer: smaller angle °_______________________
 
Answer: larger angle °____________________
(d)
What is the gun's maximum range (in m) on level ground?
Answer: _________________ m
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