Question

ella has a mass of 56 kg, and tyrone has a mass of 68 kg. ella is standing at the top of a skateboard ramp that is 1.5 meters tall. which conclusion is best supported by the given information? if tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than ellas. if tyrone stands at the top of the same ramp, his potential energy will be the same as ellas. if tyrone stands at the top of the same ramp, his potential energy will be less than ellas. if tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than ellas.

Explanation:

Step1: Recall potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity ($g\approx9.8\ m/s^{2}$), and $h$ is the height.

Step2: Analyze the cases for Ella and Tyrone

Ella has a mass $m_{E}=56\ kg$ and is at a height $h_{E}=1.5\ m$. Tyrone has a mass $m_{T}=68\ kg$.
For the same - height ramps:
If the height $h$ is the same for both, since $m_{T}>m_{E}$, from $U = mgh$, Tyrone's potential energy $U_{T}=m_{T}gh$ will be greater than Ella's potential energy $U_{E}=m_{E}gh$.
For different - height ramps:
If Tyrone is on a 2 - m high ramp and Ella is on a 1.5 - m high ramp, $U_{T}=m_{T}gh_{T}=68\times9.8\times2$ and $U_{E}=m_{E}gh_{E}=56\times9.8\times1.5$.
$U_{T}=68\times9.8\times2 = 68\times19.6=1332.8\ J$
$U_{E}=56\times9.8\times1.5=56\times14.7 = 823.2\ J$

Answer:

If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella's.