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A toy gun uses a spring with a force constant of 350 N/m to propel a...

A toy gun uses a spring with a force constant of 350 N/m to propel a 14.0 g steel ball. The spring is compressed 8.80 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.)

(b) To what maximum height (in m) can the ball be shot?

(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.)

smaller angle

larger angle

(d) What is the gun's maximum range (in m) on level ground?

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