A 1000 W heater operates for 3 hours. How much energy does it consume?
Correct Answer: 10800000 J
- Step 1: Identify the power of the heater. The power (P) is given as 1000 W (watts).
- Step 2: Identify the time the heater operates. The time (t) is given as 3 hours.
- Step 3: Convert the time from hours to seconds. Since 1 hour = 3600 seconds, multiply 3 hours by 3600 seconds/hour: 3 * 3600 = 10800 seconds.
- Step 4: Use the formula for energy consumed, which is E = P * t. Substitute the values: E = 1000 W * 10800 s.
- Step 5: Calculate the energy consumed. Multiply 1000 by 10800 to get E = 10800000 J (joules).
- Power and Energy Relationship – Understanding the relationship between power (in watts) and energy (in joules) through the formula E = P * t.
- Unit Conversion – Converting time from hours to seconds to ensure consistency in units when calculating energy.