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A roller coaster at the top of a hill has a height of 30 m. If it has a mass of
A roller coaster at the top of a hill has a height of 30 m. If it has a mass of 500 kg, what is its potential energy at the top?
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Practice Questions
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Q1
A roller coaster at the top of a hill has a height of 30 m. If it has a mass of 500 kg, what is its potential energy at the top?
1500 J
3000 J
7500 J
15000 J
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Potential energy = mgh = 500 * 9.8 * 30 = 147000 J.
Questions & Step-by-step Solutions
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Q
Q: A roller coaster at the top of a hill has a height of 30 m. If it has a mass of 500 kg, what is its potential energy at the top?
Solution:
Potential energy = mgh = 500 * 9.8 * 30 = 147000 J.
Steps: 6
Show Steps
Step 1: Identify the formula for potential energy, which is PE = mgh.
Step 2: Identify the values needed for the formula: mass (m) = 500 kg, height (h) = 30 m, and gravitational acceleration (g) = 9.8 m/s².
Step 3: Substitute the values into the formula: PE = 500 * 9.8 * 30.
Step 4: Calculate the multiplication: first, calculate 500 * 9.8 = 4900.
Step 5: Now multiply the result by 30: 4900 * 30 = 147000.
Step 6: The potential energy at the top of the hill is 147000 Joules (J).
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