1. A student uses a spring gun (with a spring constant of 150 N/m) to launch a marble vertically into the air. The mass of the marble is 0.01 kg and the spring is compressed 0.025 m. How high will the marble go?

2.A children’s roller coaster is released from the top of a track. If its maximum speed at ground level is 3 m/s, find the height it was released from.
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Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?

Oxygen and hydrogen gas are at the same temperature t. what is the ratio of kinetic energies of oxygen molecule and hydrogen molecule if oxygen is 16 times heavier than hydrogen.

Where is the potential energy throughout the loading, cocking, and releasing of the trebuchet?