Conservation of mechanical energy ?

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SUMMARY

The discussion centers on the application of the conservation of mechanical energy principle to determine the maximum height a stone reaches when thrown upwards with an initial velocity of 20 m/s. The user is advised to utilize the formula for kinetic energy (KE = 1/2 mv²) and recognize that at the peak height, all kinetic energy converts to gravitational potential energy (PE = mgh). The acceleration due to gravity is specified as -10 m/s², which is essential for calculating the height using the energy conservation equation.

PREREQUISITES
  • Understanding of kinetic energy and gravitational potential energy concepts
  • Familiarity with the conservation of mechanical energy principle
  • Basic knowledge of algebra and solving equations
  • Ability to apply gravitational acceleration in calculations
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  • Study the derivation and application of the conservation of mechanical energy principle
  • Learn how to calculate maximum height using energy conservation in projectile motion
  • Explore the relationship between kinetic energy and potential energy in various scenarios
  • Investigate the effects of different gravitational accelerations on projectile motion
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of energy conservation in motion.

birch137
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conservation of mechanical energy ?

i found this tricky since i would usually use something like v^2=u^2+2as but i don't have enough variables this time so I don’t even know which direction to go

a stone is thrown upwards with u=20m/s. use conservation of mechanical energy to find out how huigh it will go?

Oh I was told in a similar question earlier to take g as -10m/s^2 I am not sure if I need this for this question

Thanks very much to anyone who take the time to help me
 
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You don't need to(and are told NOT to, and to instead use conservation of energy) use those equations, however you still could as you were given initial velocity, and you know acceleration is g, like always, you would probably have to make a system of equations

However what you're sposed to do is say "oh I know its initial kinetic energy is 1/2mv^2, and I know at its highest point it will have no KE and nothing but gravitational potential energy, and I know that its total energy at any given point will need to equal its initial energy"
 
thank you

i can see how stupid I've been, i should have a problem now
 

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