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…

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 the same ramp, his potential energy will be less than ellas. 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 a 2 m high ramp, his potential energy will be greater than ellas.

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 the same ramp, his potential energy will be less than ellas. 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 a 2 m high ramp, his potential energy will be greater than ellas.

Answer

Explanation:

Step1: Recall potential - energy formula

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

Step2: Calculate Ella's potential energy

Ella's mass $m_{E}=56\ kg$ and height $h = 1.5\ m$. So $U_{E}=m_{E}gh=56\times9.8\times1.5$.

Step3: Analyze each option

Option 1

If Tyrone ($m_{T}=68\ kg$) stands at the top of the same $h = 1.5\ m$ ramp, $U_{T}=m_{T}gh=68\times9.8\times1.5$. Since $m_{T}>m_{E}$, $U_{T}>U_{E}$, so this option is wrong.

Option 2

Tyrone at $h = 1\ m$: $U_{T}=m_{T}gh=68\times9.8\times1$. Ella's $U_{E}=56\times9.8\times1.5 = 56\times14.7$. $U_{T}=68\times9.8=666.4$, $U_{E}=56\times14.7 = 823.2$. So $U_{T}<U_{E}$, this option is wrong.

Option 3

As calculated in Option 1, since $m_{T}\neq m_{E}$ and $h$ is the same, $U_{T}\neq U_{E}$, this option is wrong.

Option 4

Tyrone at $h = 2\ m$: $U_{T}=m_{T}gh=68\times9.8\times2=68\times19.6 = 1332.8$. Ella's $U_{E}=56\times9.8\times1.5=823.2$. So $U_{T}>U_{E}$, this option is correct.

Answer:

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