3. Calculate the amount of gravitational potential energy at the top of each hill and at the bottom of each valley. Be sure to convert your distance measurements to meters.Use an approximated value of 58.0 g for the mass of the tennis ball, and 9.81 m/s2 as the acceleration due to gravity.
To calculate the gravitational potential energy at the top of each hill and at the bottom of each valley, we need to use the formula:
Gravitational Potential Energy (PE) = mass (m) x gravity (g) x height (h)
Given:
- Mass of the tennis ball (m) = 58.0 g
- Acceleration due to gravity (g) = 9.81 m/s^2
To convert the mass from grams to kilograms, we divide by 1000:
m = 58.0 g รท 1000 = 0.058 kg
Now let's calculate the gravitational potential energy at the top of each hill and at the bottom of each valley.
For each hill and valley, we need to know the height (h). Once we have the height in meters, we can substitute the values into the formula and calculate the gravitational potential energy at each position.
Let's assume the heights for each hill and valley are given in meters.
1. Calculate the gravitational potential energy at the top of the first hill:
- Find the height (h) of the first hill.
Once you have the height in meters, substitute the values into the formula:
PE = 0.058 kg x 9.81 m/s^2 x h
2. Calculate the gravitational potential energy at the bottom of the first valley:
- Find the height (h) of the first valley.
Once you have the height in meters, substitute it into the formula:
PE = 0.058 kg x 9.81 m/s^2 x h
Repeat the above steps for each hill and valley, substituting the corresponding heights into the formula to calculate the gravitational potential energy at each position.
I think it would help to know the elevations in the hills and valleys, no?
and PE relative to what?
Anyway, PE = mgh
so knock yourself out ...