Kinetic Energy of 840 Kg Roller Coaster Trolley

AI Thread Summary
The discussion revolves around calculating the kinetic energy of a roller coaster trolley with a mass of 840 Kg as it moves from the top of the first hill to the second hill. The trolley's initial speed at the top of the first hill is 0.200 m/s, and it descends from a height of 85.0 m to a height of 64.0 m at the second hill. Participants emphasize the importance of conservation of energy principles, specifically how potential energy converts to kinetic energy as the trolley descends. Users are encouraged to share their calculations to identify any errors in their approach. The conversation aims to clarify the relationship between height, speed, and energy in roller coaster dynamics.
x3lifelove
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A roller coaster trolley and its passengers have a mass 840 Kg. The trolly comes over the top of the first hill with a speed of .200 m/s. The hill is 85.0 m above the ground. The trolley goes down the first hill and up the crest of the second hill 64.0 m above ground. Ignore the effects of frictional forces. What is the kinetic energy of the trolly at the top of the second hill?

Help please, I keep getting the answer wrong ):
 
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What do you know about conservation of potential and kinetic energy? Look at the height of the roller coaster at the top of each crest.
 
hi x3lifelove! :wink:

show us your full calculations, and then we'll see what went wrong, and we'll know how to help! :smile:
 

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