A roller coaster at the top of a hill has a height of 30 m. If it has a mass of

Practice Questions

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?
  1. 1500 J
  2. 3000 J
  3. 7500 J
  4. 15000 J

Questions & Step-by-Step Solutions

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?
Correct Answer: 147000 J
  • 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).
  • Potential Energy – Potential energy is the energy stored in an object due to its height above the ground, calculated using the formula PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height.
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