ella has a mass of 56 kg, and tyrone has a ma...
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 ella’s. if tyrone stands at the top of a 1 m high ramp, his potential energy will be greater than ella’s. if tyrone stands at the top of the same ramp, his potential energy will be the same as ella’s. if tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than ella’s.
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: Analyze Ella's potential energy
Ella's mass $m_{E}=56\ kg$ and height $h_{E} = 1.5\ m$, so her potential energy $U_{E}=m_{E}gh_{E}=56\times g\times1.5 = 84g$.
## Step3: Analyze Tyrone's potential energy for different cases
- Case 1: If Tyrone stands at the top of the same $1.5 - m$ ramp, his mass $m_{T}=68\ kg$ and height $h_{T}=1.5\ m$. His potential energy $U_{T}=m_{T}gh_{T}=68\times g\times1.5=102g$. Since $102g>84g$, his potential energy is greater than Ella's in this case.
- Case 2: If Tyrone stands at the top of a $1 - m$ high ramp, $U_{T}=m_{T}gh_{T}=68\times g\times1 = 68g$. Since $68g<84g$, his potential energy is less than Ella's.
- Case 3: If Tyrone stands at the top of a $2 - m$ high ramp, $U_{T}=m_{T}gh_{T}=68\times g\times2=136g$. Since $136g > 84g$, his potential energy is greater than Ella's.
# Answer:
If Tyrone stands at the top of a 2 m high ramp, his potential energy will be greater than Ella's.