Possible website title: Understanding GPE and KE Equations for Physics Homework

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SUMMARY

The discussion focuses on gravitational potential energy (GPE) and kinetic energy (KE) calculations for physics homework problems. The GPE is calculated using the formula GPE = mass × height, leading to answers of 10J for a 2 kg block at 5 meters and 20J for a 4 kg stone at its highest point. The confusion arises regarding whether the GPE at the highest point requires a different formula, which it does not. For kinetic energy, the relevant formula is KE = 0.5 × mass × velocity², which needs clarification for the problems presented.

PREREQUISITES
  • Understanding of gravitational potential energy (GPE) calculations
  • Familiarity with kinetic energy (KE) formulas
  • Basic algebra skills for manipulating equations
  • Knowledge of units of measurement (Joules, kilograms, meters)
NEXT STEPS
  • Study the formula for kinetic energy: KE = 0.5 × mass × velocity²
  • Practice solving GPE problems with varying mass and height
  • Explore the relationship between GPE and KE in energy conservation
  • Review physics concepts related to motion and energy transfer
USEFUL FOR

Students studying physics, particularly those tackling homework on energy concepts, including gravitational potential energy and kinetic energy calculations.

Sonny18n
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Homework Statement


1) What is the GPE of a 2 kg block 5 meters above the floor?

2) Joe throws a 4 kg stone straight up and it reaches a height of 5 meters. What is its GPE at its highest point?

3) How high do you have to lift a 1 kg ball to give it 49 J of GPE?[/B]

4) What is the KE of a 4kg mass at 3 m/s?

5) What is the mass of an object that has 100J of KE when moving at 5 m/s?


Homework Equations


Honestly, the only thing I understand is the GPE stuff, which I believe is to simply multiply the mass and height together. I'm not sure if KPE is just as simple.

The Attempt at a Solution


1) 10J

2) I got 20J but it says "highest point" so I don't know if that requires a different formula.

3) Seems simple enough, I got 49 meters by dividing 49J by 1 kg.

4 and 5 and basically Kinetic energy in general is what I need help on.
 
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Sonny18n said:
1) 10J
Please quote a standard equation for this (answer is wrong).
Sonny18n said:
2) I got 20J but it says "highest point" so I don't know if that requires a different formula.
Why would the GPE at the highest point follow a different law from the GPE at any other point?
Sonny18n said:
4 and 5 and basically Kinetic energy in general is what I need help on.
You haven't been taught any equations for KE?
 

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