A 1000 W electric motor runs for 2 hours. How much work does it do? (2023)
Practice Questions
Q1
A 1000 W electric motor runs for 2 hours. How much work does it do? (2023)
720,000 J
1,000,000 J
2,000,000 J
1,440,000 J
Questions & Step-by-Step Solutions
A 1000 W electric motor runs for 2 hours. How much work does it do? (2023)
Step 1: Understand that power is the rate at which work is done. In this case, the power of the motor is 1000 W (watts).
Step 2: Convert the time the motor runs from hours to seconds. Since 1 hour is equal to 3600 seconds, multiply 2 hours by 3600 seconds/hour: 2 × 3600 = 7200 seconds.
Step 3: Use the formula for work, which is Work = Power × Time.
Step 4: Substitute the values into the formula: Work = 1000 W × 7200 s.
Step 5: Calculate the work done: 1000 × 7200 = 7,200,000 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 hours to seconds is crucial for accurate calculations.