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Question
- john is gardening and finds a tree root in the soil. he decides he will try to pull it out. he grabs onto it and uses a force of 100 newtons. he exerts that force for 5 seconds until he is able to yank the root out, 1 meter away. how much power did john use to extract the root?
10 joules/sec
15 joules/sec
20 joules/sec
25 joules/sec
Step1: Calculate Work Done
Work ($W$) is calculated as force ($F$) times distance ($d$), so $W = F \times d$. Given $F = 100$ N and $d = 1$ m, $W = 100 \times 1 = 100$ Joules.
Step2: Calculate Power
Power ($P$) is work done over time ($t$), so $P = \frac{W}{t}$. Given $W = 100$ J and $t = 5$ s, $P = \frac{100}{5} = 20$ joules/sec.
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20 joules/sec (corresponding to the option "20 joules/sec")