Question

this is a multi - part item. use the crosshairs tool to measure how much potential energy in joules (j) the skater has at heights of 1.00, 2.00, 3.00, 4.00, 5.00, and 6.00 meters. if there are no dots at or near these heights on the ramp, you may need to allow the skater to go back down and up the ramp, pausing them at the top of the ramp to make measurements based on the new trail they created. match the approximate amounts of potential energy to the different heights. 3530 j 1760 j 1170 j 2350 j 585 j 2940 j 1.00 m 2.00 m 3.00 m 4.00 m 5.00 m 6.00 m

Explanation:

Step1: Recall potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $g = 9.8\ m/s^{2}$. Assuming the mass of the skater $m$ is constant, the potential energy is directly proportional to the height $h$.
Let's assume $m = 60\ kg$ (a reasonable mass for a person). Then $U=mgh=60\times9.8\times h = 588h$.

Step2: Calculate potential energy for each height

For $h = 1.00\ m$, $U=588\times1.00 = 588\ J\approx585\ J$.
For $h = 2.00\ m$, $U=588\times2.00 = 1176\ J\approx1170\ J$.
For $h = 3.00\ m$, $U=588\times3.00 = 1764\ J\approx1760\ J$.
For $h = 4.00\ m$, $U=588\times4.00 = 2352\ J\approx2350\ J$.
For $h = 5.00\ m$, $U=588\times5.00 = 2940\ J$.
For $h = 6.00\ m$, $U=588\times6.00 = 3528\ J\approx3530\ J$.

Answer:

1.00 m - 585 J
2.00 m - 1170 J
3.00 m - 1760 J
4.00 m - 2350 J
5.00 m - 2940 J
6.00 m - 3530 J