Efficiency of a Cart Rolling Down an Inclined Plane

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SUMMARY

The discussion focuses on calculating the efficiency of a cart rolling down an inclined plane, using specific measurements and formulas. The energy input, calculated using the work formula W = Fd, is determined to be 1.694 J. The participant questions the appropriate method for calculating energy output, considering the kinetic energy formula E = 1/2mv². The efficiency is to be derived from the relationship between useful output energy and input energy, expressed as Eff = (Useful output energy/Input Energy) x 100%.

PREREQUISITES
  • Understanding of basic physics concepts such as work and energy
  • Familiarity with the formulas for work (W = Fd) and kinetic energy (E = 1/2mv²)
  • Knowledge of efficiency calculations in physics
  • Ability to perform unit conversions and basic algebra
NEXT STEPS
  • Research the concept of gravitational potential energy and its role in inclined planes
  • Learn about energy conservation principles in mechanical systems
  • Explore advanced efficiency calculations in real-world applications
  • Investigate the effects of friction on inclined plane motion
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding energy dynamics in inclined planes.

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Homework Statement



Alright for this thing, we had to pull a cart up a inclined plane and time how long it took to get to the bottom.

Distance from ground to top of inclined plane is - 0.125m
Length of Board is - 1.21m
Mass of cart - 1.09kg
Force to pull cart up - 1.4N
Time it took for cart to roll down board - 1.92s

So I need to calculate:
Energy Input (pulling cart up)
Energy Output
Efficiency

Homework Equations




W = Fd

Eff = Useful output energy/Input Energy x 100%


The Attempt at a Solution



So I am guessing Energy Input is
W=FD
W=(1.4)(1.21)
W = 1.694 J

Would Energy output be
E = 1/2mv^2?
 
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I don't think so, wouldn't that be counting your losses twice? It takes 1.7 joules of input energy (Work) to pull the cart up to the top of the plane. How much energy does it have when it gets there?
 
Last edited:

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