If a 1000 W motor runs for 2 hours, how much work does it do? (2000)

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Question: If a 1000 W motor runs for 2 hours, how much work does it do? (2000)

Options:

Correct Answer: 3600000 J

Exam Year: 2000

Solution:

Work = Power × Time = 1000 W × (2 hours × 3600 s/hour) = 1000 W × 7200 s = 7200000 J

If a 1000 W motor runs for 2 hours, how much work does it do? (2000)

If a 1000 W motor runs for 2 hours, how much work does it do? (2000)

Step 1: Understand that power is the rate at which work is done. Here, the power of the motor is given as 1000 W (watts).
Step 2: Convert the time from hours to seconds because power is in watts, which is joules per second. There are 3600 seconds in 1 hour.
Step 3: Calculate the total time in seconds for 2 hours: 2 hours × 3600 seconds/hour = 7200 seconds.
Step 4: Use the formula for work, which is Work = Power × Time.
Step 5: Substitute the values into the formula: Work = 1000 W × 7200 s.
Step 6: Calculate the work done: 1000 W × 7200 s = 7200000 J (joules).

Work and Power – Work is calculated as the product of power and time, where power is the rate of doing work.
Unit Conversion – Understanding the conversion of time from hours to seconds is crucial for accurate calculations.