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A 1000 W heater operates for 2 hours. How much energy does it consume?
Practice Questions
Q1
A 1000 W heater operates for 2 hours. How much energy does it consume?
7200000 J
2000000 J
3600000 J
1000000 J
Questions & Step-by-Step Solutions
A 1000 W heater operates for 2 hours. How much energy does it consume?
Steps
Concepts
Step 1: Identify the power of the heater, which is given as 1000 W (watts).
Step 2: Identify the time the heater operates, which is given as 2 hours.
Step 3: Convert the time from hours to seconds because the power is in watts (1 hour = 3600 seconds). So, 2 hours = 2 * 3600 = 7200 seconds.
Step 4: Use the formula for energy consumed, which is E = P * t, where E is energy, P is power, and t is time.
Step 5: Substitute the values into the formula: E = 1000 W * 7200 s.
Step 6: Calculate the energy: E = 1000 * 7200 = 7200000 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.
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