What is the relationship between potential and kinetic energy?

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SUMMARY

The discussion centers on the relationship between potential energy (PE) and kinetic energy (KE) using a practical example involving an 8.0 kg bowling ball. The ball's speed at the bottom of a hill is 7.42 m/s, illustrating the conservation of energy principle. Participants confirm that the total energy remains constant, with PE converting to KE as the ball descends. The formula h = PE/mg is relevant for calculating height, emphasizing the direct relationship between these energy forms.

PREREQUISITES
  • Understanding of potential energy (PE) and kinetic energy (KE)
  • Familiarity with the conservation of energy principle
  • Basic knowledge of gravitational force (g)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Calculate potential energy using the formula PE = mgh
  • Explore the concept of energy conservation in different physical systems
  • Learn about the effects of friction on energy conservation
  • Study real-world applications of kinetic and potential energy in sports physics
USEFUL FOR

Students in physics, educators teaching energy concepts, and anyone interested in understanding the principles of energy conservation in mechanics.

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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