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Answer :
To find the mass of the roller coaster, we can use the formula for potential energy:
[tex]\[ \text{Potential Energy (PE)} = \text{mass (m)} \times \text{gravity (g)} \times \text{height (h)} \][/tex]
In the problem, you are given:
- Potential Energy (PE) = 235,200 Joules
- Height (h) = 30 meters
- Gravity (g) = 9.8 meters per second squared
We need to solve for the mass (m). The formula rearranges to:
[tex]\[ m = \frac{\text{PE}}{g \times h} \][/tex]
Now substituting the values:
[tex]\[ m = \frac{235,200 \, \text{J}}{9.8 \, \text{m/s}^2 \times 30 \, \text{m}} \][/tex]
When you calculate this, you find:
[tex]\[ m = \frac{235,200}{294} \][/tex]
[tex]\[ m = 800 \, \text{kg} \][/tex]
Therefore, the mass of the roller coaster is 800 kg. The correct answer is 800 kg.
[tex]\[ \text{Potential Energy (PE)} = \text{mass (m)} \times \text{gravity (g)} \times \text{height (h)} \][/tex]
In the problem, you are given:
- Potential Energy (PE) = 235,200 Joules
- Height (h) = 30 meters
- Gravity (g) = 9.8 meters per second squared
We need to solve for the mass (m). The formula rearranges to:
[tex]\[ m = \frac{\text{PE}}{g \times h} \][/tex]
Now substituting the values:
[tex]\[ m = \frac{235,200 \, \text{J}}{9.8 \, \text{m/s}^2 \times 30 \, \text{m}} \][/tex]
When you calculate this, you find:
[tex]\[ m = \frac{235,200}{294} \][/tex]
[tex]\[ m = 800 \, \text{kg} \][/tex]
Therefore, the mass of the roller coaster is 800 kg. The correct answer is 800 kg.
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