If a person lifts a 10 kg weight to a height of 2 meters in 4 seconds, what is t

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Question: If a person lifts a 10 kg weight to a height of 2 meters in 4 seconds, what is the power exerted?

Options:

Correct Answer: 100 W

Solution:

First, calculate the work done: W = mgh = 10 kg * 9.8 m/s² * 2 m = 196 J. Then, power is P = W/t = 196 J / 4 s = 49 W, approximately 50 W.

If a person lifts a 10 kg weight to a height of 2 meters in 4 seconds, what is the power exerted?

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.

Work and Energy – Understanding the relationship between force, distance, and energy to calculate work done.
Power – The rate at which work is done, calculated as work divided by time.
Gravitational Force – Using the acceleration due to gravity (9.8 m/s²) in calculations involving weight and height.