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A 1,054 kg roller coaster crests a 92m tall hill at 4m/s

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A 1,054 kg roller coaster crests a 92m tall hill at 4m/s. It then races down the slope and travels through a loop that is 72m tall. How fast are they moving at the top of the loop?

A 1,350 kg roller coaster car starts on top of a 90m tall hill. It then zooms to the top of a 2nd hill. Along the way 259,665J of energy are lost to friction. What is the maximum height of the 2nd hill?

What force is exerted on a 64 kg rider traveling at 4m/s to cause them to bounce backwards at 2m/s if the collision is occurs in 2 seconds?