Conservation of Energy equation help

AI Thread Summary
To determine the height from which a stone must fall to increase energy by 2450 J, the conservation of energy principle is applied. The potential energy at height h can be expressed as PE = mgh, where m is the mass (0.255 kg) and g is the acceleration due to gravity (9.81 m/s²). Rearranging the equation to solve for height gives h = PE / (mg). The kinetic energy equation, KE = 1/2 mv², is also relevant for understanding energy transformations during the fall. Further guidance can be found in related physics resources for calculating the distance.
MentalScrew
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Homework Statement


Okay, I have a total mass of 0.255 of a stone that strikes the ground. Assuming that the stone is initially at rest when it begins falling, how high must the stone be above the ground for the energy of the stone and ground to increase by 2450 J?


Homework Equations


Okay, so m = .255, g = 9.81 and internal energy = 2450, what I need to know is how to arrange them so that I can find an equation for height...



The Attempt at a Solution



Yeah, I really need to know...
 
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To get you started, Kinetic energy = 1/2 m v2
 
Yeah, I'm a total idiot. I know that has at least something to do with the equation, but I'm not completely sure. Anymore information you can give me?
 
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