Conservation of Energy Questions

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SUMMARY

The discussion focuses on the application of the conservation of energy principle in two physics problems. In the first problem, a 0.5 kg ball with a kinetic energy of 138 Joules is analyzed to determine its maximum height, which is calculated using the formula for gravitational potential energy. The second problem involves a 265.3 kg roller coaster car starting from a height of 114.9 meters, where its speed at ground level is derived from gravitational potential energy conversion. Additionally, the work done by friction in bringing the car to rest is calculated, along with the distance it travels before stopping.

PREREQUISITES
  • Understanding of kinetic and potential energy concepts
  • Familiarity with the conservation of energy principle
  • Basic knowledge of Newton's laws of motion
  • Ability to perform calculations involving work and energy
NEXT STEPS
  • Study the equations for gravitational potential energy (PE = mgh)
  • Learn how to calculate kinetic energy (KE = 0.5mv²)
  • Explore the concept of work done by friction (Work = Force x Distance)
  • Investigate real-world applications of conservation of energy in roller coasters
USEFUL FOR

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

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Question #1


A ball of mass 0.5 kg is tossed upward into the air. When it leaves your hand, it has a kinetic energy of 138 Joules. Use conservation of energy to find how high it goes. (Ignore air resistance)





Question #2


A roller coaster car with a mass of 265.3 kg starts from a height of 114.9 meters above the ground just before rolling down the frictionless track. Using conservation of energy, find the speed of the car just as it reaches the ground.


After the car reaches the ground, it travels horizontally on the track, where a frictional force of 999.6 Newtons slows the car to a stop. What is the work done on the car in bringing it to rest?


How far will the car go before it comes to rest?



I don't have a clue what I am doing, I SUCK at physics! Thanks for the help!
 
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Well, you probably have some equations you're familiar with?
 

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