If a person lifts a 10 kg weight to a height of 2 meters in 4 seconds, what is the power exerted?
Correct Answer: Approximately 50 W
- Step 1: Identify the weight being lifted, which is 10 kg.
- Step 2: Identify the height to which the weight is lifted, which is 2 meters.
- Step 3: Use the formula for work done, W = mgh, where m is mass, g is acceleration due to gravity (approximately 9.8 m/s²), and h is height.
- Step 4: Calculate the work done: W = 10 kg * 9.8 m/s² * 2 m.
- Step 5: Perform the multiplication: 10 * 9.8 = 98, then 98 * 2 = 196 J (Joules).
- Step 6: Identify the time taken to lift the weight, which is 4 seconds.
- Step 7: Use the formula for power, P = W/t, where W is work done and t is time.
- Step 8: Calculate the power: P = 196 J / 4 s.
- Step 9: Perform the division: 196 / 4 = 49 W (Watts).
- Step 10: Round the answer if necessary; here it is approximately 50 W.
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