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Answer :
To find the mass of the roller coaster using the potential energy formula, we can follow these steps:
1. Identify the given values:
- Potential Energy (PE) = 235,200 Joules
- Height (h) = 30 meters
- Gravitational acceleration (g) = [tex]\(9.81 \, \text{m/s}^2\)[/tex] (standard acceleration due to gravity)
2. Use the potential energy formula:
[tex]\[
\text{Potential Energy (PE)} = m \times g \times h
\][/tex]
where [tex]\(m\)[/tex] is the mass we want to find.
3. Rearrange the formula to solve for mass ([tex]\(m\)[/tex]):
[tex]\[
m = \frac{\text{PE}}{g \times h}
\][/tex]
4. Plug in the known values:
[tex]\[
m = \frac{235,200}{9.81 \times 30}
\][/tex]
5. Calculate to find the mass:
To solve this, you divide 235,200 by the product of 9.81 and 30, which gives you approximately 799.18 kg.
Therefore, the mass of the roller coaster is approximately 800 kg.
1. Identify the given values:
- Potential Energy (PE) = 235,200 Joules
- Height (h) = 30 meters
- Gravitational acceleration (g) = [tex]\(9.81 \, \text{m/s}^2\)[/tex] (standard acceleration due to gravity)
2. Use the potential energy formula:
[tex]\[
\text{Potential Energy (PE)} = m \times g \times h
\][/tex]
where [tex]\(m\)[/tex] is the mass we want to find.
3. Rearrange the formula to solve for mass ([tex]\(m\)[/tex]):
[tex]\[
m = \frac{\text{PE}}{g \times h}
\][/tex]
4. Plug in the known values:
[tex]\[
m = \frac{235,200}{9.81 \times 30}
\][/tex]
5. Calculate to find the mass:
To solve this, you divide 235,200 by the product of 9.81 and 30, which gives you approximately 799.18 kg.
Therefore, the mass of the roller coaster is approximately 800 kg.
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