QQuestionMathematics
QuestionMathematics
The formula for calculating power is work divided by time (power= work/time ). What are two ways of stating the same relationship?
A. work= power/time
B. work=power × time
C. time= work/power
D. time=work × power
E. power=work × time
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the Original Formula
- $$t$$ represents time
- P represents power
Step 3:: Algebraically Rearrange the Formula
We can rearrange this formula by multiplying both sides by $$t$$:
P \times t = W
Step 4:: Rearrange to Solve for Time
t = \frac{W}{P}
We can also rearrange to solve for time:
Step 5:: Analyze the Possible Answers
- Option E ($$P = W \times t$$) is incorrect
Looking at the given options, we can see that:
Final Answer
1. W = P \times t 2. t = W/P The key is understanding how to algebraically manipulate the original power formula P = W/t to derive equivalent relationships.
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