What is the potential energy of a mass of 5 kg at a height of 10 m in a gravitat

Practice Questions

Q1
What is the potential energy of a mass of 5 kg at a height of 10 m in a gravitational field (g = 9.8 m/s²)?
  1. 490 J
  2. 980 J
  3. 245 J
  4. 50 J

Questions & Step-by-Step Solutions

What is the potential energy of a mass of 5 kg at a height of 10 m in a gravitational field (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) = 5 kg, height (h) = 10 m, and gravitational acceleration (g) = 9.8 m/s².
  • Step 3: Substitute the values into the formula: PE = 5 kg × 9.8 m/s² × 10 m.
  • Step 4: Calculate the multiplication: 5 kg × 9.8 m/s² = 49 kg·m/s².
  • Step 5: Now multiply that result by the height: 49 kg·m/s² × 10 m = 490 J.
  • Step 6: Conclude that the potential energy is 490 Joules.
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