Efficiency of energy transformation on a slide

In summary, students used a speed gun to measure the final speed of a slider at the bottom of a slide with a height difference of 3.0 m. If the speed is 5.0 m/s, the efficiency of the energy transformation can be found using the equation efficiency = Eout/Ein x 100. However, the equation assumes no losses and may not apply in this case where there is a 5 m/s speed. Further calculations are needed to determine the efficiency.
  • #1
gungo
27
1

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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  • #2
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.
 

1. How is the efficiency of energy transformation on a slide calculated?

The efficiency of energy transformation on a slide is calculated by dividing the useful output energy by the total input energy. This value is then multiplied by 100 to get a percentage.

2. What factors affect the efficiency of energy transformation on a slide?

The factors that affect the efficiency of energy transformation on a slide include the material of the slide, the angle of the slide, the weight and speed of the object sliding, and the presence of any friction or resistance.

3. Is the efficiency of energy transformation on a slide always 100%?

No, the efficiency of energy transformation on a slide is not always 100%. In fact, it is almost impossible to have a 100% efficient system due to the presence of friction and other external factors.

4. How can the efficiency of energy transformation on a slide be improved?

The efficiency of energy transformation on a slide can be improved by using materials with less friction, increasing the angle of the slide, and reducing the weight and speed of the object sliding. Additionally, regularly lubricating the slide can also improve efficiency.

5. Why is it important to have a high efficiency of energy transformation on a slide?

Having a high efficiency of energy transformation on a slide is important because it means less energy is wasted and more energy is being used for its intended purpose. This can lead to cost savings and more sustainable use of resources.

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