Graphs of Work & Power for Falling Stone

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SUMMARY

The discussion focuses on calculating and graphing the work and power of a 5 kg stone falling 15 meters under gravity. The work done by the stone is calculated as 735 Joules using the formula Work = (force)(displacement). To graph power as a function of time, the participant is advised to utilize the equation Power = (work)/(time) and consider the relationship between force, velocity, and time to derive the necessary values for plotting.

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  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of work and power in physics
  • Knowledge of graphing techniques for functions
  • Basic calculus for analyzing changes in kinetic and potential energy
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  • Learn how to derive velocity as a function of time for free-falling objects
  • Study the relationship between potential energy and height in gravitational fields
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  • Investigate how to plot graphs of work and power using software tools like Desmos or GeoGebra
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of falling objects and energy transformations.

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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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