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? (g = 9.8 m/s²)
  1. 14700 J
  2. 9800 J
  3. 15000 J
  4. 5000 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? (g = 9.8 m/s²)
  • 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 acceleration due to gravity (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 (PE) 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 acceleration due to gravity, and h is height.
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