Graphs of Work & Power for Falling Stone

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The discussion focuses on creating graphs for work and power related to a 5kg stone falling 15m under gravity. The calculated work done by the stone is 735J, but there is confusion about how to plot the graphs correctly. Participants suggest using force and displacement for the work graph and exploring the relationship between power, force, and velocity for the power graph. Additionally, the conversation emphasizes analyzing energy changes, including potential and kinetic energy, over time and distance. Understanding these relationships is crucial for accurately representing the work and power graphs.
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Draw graphs??

Homework Statement



A stone of a mass of 5kg drops through a distance of 15m under the influence of gravity. Draw graphs of the work done by the stone and the power of the stone as a function of time. Discuss your results.

Homework Equations



Work=(force)(displacement)
Power=(work)/(time) or Power=(Force)(velocity)



The Attempt at a Solution



Ok, so I solved for work
work= (5kg)(9.8m/s^2)(15m)=735J
I don't know what to do now. I would think I need to plot Force on the Y axis, and displacement on the X axis, but I'm not sure.
I'm having the same issue with the second graph
Power=(735J)/(??) The problem says to graph power of the stone as a function of time, so I'm guesing I have to use the power equation that involves time. Can I use Power=(Force)(velocity)? I'm so confused! Help please!
 
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Look at this problem from the point of view of energy. What can you say about the total energy (potential + kinetic) at all times? How does the potential energy change with distance? With time? (how does distance fallen or y position change with time?). Using this can you determine the change in kinetic energy as a function of distance and time?

AM
 

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