Efficiency of energy transformation on a slide

AI Thread Summary
To determine the efficiency of energy transformation on a slide, students measured the height difference of 3.0 m and the final speed of the slider at 5.0 m/s. The relevant energy equation indicates that potential energy at the top converts to kinetic energy at the bottom, but the mass cancels out, simplifying the analysis. The calculations led to a negative value for initial speed, suggesting energy losses during the transformation. The discussion highlights that the equation used assumes no losses, which is not applicable in this scenario. Understanding these energy transformations is crucial for accurately calculating efficiency.
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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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