Efficiency of energy transformation on a slide

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SUMMARY

The discussion focuses on calculating the efficiency of energy transformation for a slider on a slide, where the height difference is 3.0 m and the final speed at the bottom is 5.0 m/s. The relevant equation used is mgh1 + 1/2mv1^2 = mgh2 + 1/2mv2^2, which simplifies to gh1 + 1/2v1^2 = gh2 + 1/2(5)^2 after canceling out mass. The attempt to isolate v1^2 resulted in a negative value, indicating an error in the assumption of energy losses, as the equation used does not account for them. Therefore, the efficiency calculation requires a revised approach to consider energy losses.

PREREQUISITES
  • Understanding of gravitational potential energy (mgh)
  • Familiarity with kinetic energy (1/2mv^2)
  • Knowledge of energy conservation principles
  • Basic algebra for isolating variables in equations
NEXT STEPS
  • Research the concept of energy losses in mechanical systems
  • Learn about the principles of energy conservation in physics
  • Study the derivation and application of the efficiency formula (efficiency = Eout/Ein x 100)
  • Explore practical examples of energy transformation in real-world scenarios
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding energy transformation and efficiency calculations in mechanical systems.

gungo
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Homework Statement


Students used a speed gun to measure the final speed of slider at the bottom of the slide. They measure the height difference between the top and bottom of the slide to be 3.0 m.
If the speed of a slider at the bottom of the slide is 5.0 m/s, what is the efficiency of the energy transformation?

Homework Equations


mgh1+1/2mv^2=mgh2+1/2mv^2
efficiency=Eout/Ein x100

The Attempt at a Solution


the masses of :mgh1+1/2mv1^2=mgh2+1/2mv2^2 cancel out, so I'm left with
gh1+1/2v^2=gh+1/2v^2
3(9.8)+1/2v1^2=1/2(5)^2
When I isolate v1^2, I get a negative number which wouldn't work because I can't get the square root of it to find v. But after finding v, what would I do?
 
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gungo said:
mgh1+1/2mv^2=mgh2+1/2mv^2
That equation assumes no losses.
gungo said:
3(9.8)+1/2v1^2=1/2(5)^2
The 5 in there is for the case where there are losses, so the equation does not apply.
 

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