A 3-gram ping pong ball is fired horizontally from a spring launcher. The spring has a spring constant of 30 N/m and is compressed 5 cm before firing.
How fast does the ping pong ball move as it leaves the spring launcher? (2 points)
What is the average amount of force the spring applied to the ball while it did work on it? (2 pts)
How long did it take to fire the ping pong ball? (2 points)
If the launcher is instead shot straight upwards, how high above its starting height will the ball go? (2 pts)
If the ball is 1.15 meters above the ground when it is fired at an angle of 40° above the horizontal, how far away will it land? (4 points)
A 50 kg person sits 2 meters from the edge of a cliff as shown. They hold taught a 2 meter long rope swing that is horizontal at first. They swing on the rope and end up 2 meters lower than they started when they (at the exact same time) pick up a 5 kg object and let go of the rope. The rope is vertical when this occurs so they (with the object) then shoot out horizontally over a cliff of height h and land into water a distance d from its base.
How fast is the person moving when they reach the bottom of the swing? (Before they pick up the object.) (2 points)
How fast is the person moving less than an instant later, after they have picked up (“collided with”) the 5 kg object? (2 points)
If the person (with the object) lands a distance d of 6.3 meters away from the base, how high is the cliff (h)? (4 points)
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