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?\nif tyrone stands at the top of the same ramp, his potential energy will be less than ellas.\nif tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than ellas.\nif tyrone stands at the top of the same ramp, his potential energy will be the same as ellas.\nif 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?\nif tyrone stands at the top of the same ramp, his potential energy will be less than ellas.\nif tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than ellas.\nif tyrone stands at the top of the same ramp, his potential energy will be the same as ellas.\nif 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 the mass, $g$ is the acceleration due to gravity ($g\approx9.8\ m/s^{2}$), and $h$ is the height.

Step2: Calculate Ella's potential energy

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

Step3: Analyze each option

  • Option 1: Tyrone's mass $m_{T}=68\ kg$. If on 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 on a $h = 1\ m$ ramp, $U_{T}=m_{T}gh=68\times9.8\times1$. $U_{E}=56\times9.8\times1.5 = 56\times14.7$. $U_{T}=68\times9.8$. $56\times14.7=823.2$ and $68\times9.8 = 666.4$. So $U_{E}>U_{T}$, this option is wrong.
  • Option 3: As calculated in Option 1, since $m_{T}>m_{E}$ and $h$ is the same, $U_{T}\neq U_{E}$, this option is wrong.
  • Option 4: Tyrone on a $h = 2\ m$ ramp, $U_{T}=m_{T}gh=68\times9.8\times2=68\times19.6$. $U_{E}=56\times9.8\times1.5 = 56\times14.7$. $68\times19.6=1332.8$ and $56\times14.7 = 823.2$. 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.