An archer pulls the string of a bow back by 0.50 m, creating a tension of 150 N in the string. The mass of the arrow is 0.050 kg and the bowstring’s mass is negligible. What is the speed of the arrow after the bowstring is released and has returned to its equilibrium length? Assume that the force of the stretched bowstring on the arrow behaves like the force exerted by an extended spring and assume air resistance is negligible.
In the Hunger Games movie, Katniss Everdeen fires a 0.0200-kg arrow from ground level to pierce an apple up on a stage. The spring constant of the bow is 330 N/m and she pulls the arrow back a distance of 0.550 m. The apple on the stage is 5.00 m higher than the launching point of the arrow.
At what speed does the arrow leave the bow?
At what speed does the arrow strike the apple?
A toy gun uses a spring with a force constant of 350 N/m to propel a 12.0 g steel ball. The spring is compressed 10.0 cm and friction is negligible.
How much force is needed to compress the spring?
To what maximum height can the ball be shot?
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?
What is the gun’s maximum range on level ground?