Power calculation from energy and time: What is the power if 200 J of energy are used in 10 s?

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:

  • Energy E = 200 J.
  • Time t = 10 s.
  • Average power P = E / t.


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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