If a person lifts a 10 kg object to a height of 5 m in 2 seconds, what is the po

Practice Questions

Q1
If a person lifts a 10 kg object to a height of 5 m in 2 seconds, what is the power exerted?
  1. 25 W
  2. 50 W
  3. 75 W
  4. 100 W

Questions & Step-by-Step Solutions

If a person lifts a 10 kg object to a height of 5 m in 2 seconds, what is the power exerted?
Correct Answer: 245 W
  • Step 1: Identify the mass of the object. In this case, it is 10 kg.
  • Step 2: Identify the height to which the object is lifted. Here, it is 5 m.
  • Step 3: Use the formula for gravitational force, which is approximately 9.8 m/s².
  • Step 4: Calculate the work done (W) using the formula W = mgh. Substitute the values: W = 10 kg * 9.8 m/s² * 5 m.
  • Step 5: Perform the multiplication: 10 * 9.8 * 5 = 490 J. So, the work done is 490 Joules.
  • Step 6: Identify the time taken to lift the object, which is 2 seconds.
  • Step 7: Use the formula for power (P), which is P = W/t. Substitute the values: P = 490 J / 2 s.
  • Step 8: Perform the division: 490 J / 2 = 245 W. So, the power exerted is 245 Watts.
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