Difficulty: Easy
Correct Answer: 20 W
Explanation:
Introduction / Context:Many practical problems present energy consumed over a time interval, from which you must compute average power. This is a direct application of the definition of power in the time domain.
Given Data / Assumptions:
Concept / Approach:Use the basic relation: power equals energy divided by time. Ensure units are SI to avoid conversion errors. The arithmetic should be straightforward as the numbers are chosen to divide cleanly.
Step-by-Step Solution:
P = E / t.Substitute: P = 200 J / 10 s.Compute: P = 20 J/s.Recognize J/s = W → P = 20 W.Verification / Alternative check:If the same 200 J were used in 20 s, power would halve to 10 W; if used in 5 s, it would double to 40 W. This proportionality confirms the calculation.
Why Other Options Are Wrong:
2 W and 5 W: too low by factors of 10 and 4 respectively.50 W: too high by a factor of 2.5.Common Pitfalls:Forgetting that “per second” means divide by time; confusing power (W) with energy (J).
Final Answer:20 W
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