What is the relationship between potential and kinetic energy?

AI Thread Summary
Potential energy (PE) and kinetic energy (KE) are related through the principle of conservation of energy, which states that the total energy in a closed system remains constant. In the given scenario, the potential energy at the top of the hill converts to kinetic energy at the bottom. To find the height of the hill, one can use the formula h = PE/mg, where PE is the potential energy. The discussion confirms that at the top of the hill, the energy is all potential, while at the bottom, it is all kinetic, assuming no energy loss. Understanding this relationship is crucial for solving problems involving energy transformations.
Chann
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I need help with this question.

An 8.0 kg bowling ball is rolled from the top of a hill. At the bottom of the hill, the ball is moving at a speed of 7.42m/s. What is the height of the hill?

Im trying to use h=PE/mg but i can't get PE with the given at top. May you guys help ? Please and thank youWait I think I got it I need a confirmation does KE=Pe ?
 
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Chann said:
Wait I think I got it I need a confirmation does KE=Pe ?

Yes, since energy is always conserved, your PE and KE at any given point should always add up to the same number. For example, if you're at the top of a hill and not moving, you have only potential energy; that number would all be converted to kinetic energy if you were at the bottom of the hill. The bottom line is, you generally always have the same amount of energy (without taking things like friction into account).
 
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