
Physics
1st Edition
ISBN: 9780133256925
Table of contents
Textbook solutions
All Solutions
Page 203: Practice Problems
Exercise 21
Step 1
1 of 3
In this problem, a diver drops to the water from a height of $h = 46~mathrm{m}$. His gravitational potential energy drops by $Delta PE_text{gravity} = 25000~mathrm{J}$. We find the weight of the diver.
Step 2
2 of 3
The change in potential energy is equal to the weight $w$ of the diver and the height $h$. We have
$$
begin{align*}
Delta PE_text{gravity} &= wh \
implies w &= frac{Delta PE_text{gravity}}{h} \
&= frac{25000~mathrm{J}}{46~mathrm{m}} \
&= 543.47826~mathrm{N} \
w &= boxed{ 540~mathrm{N} }
end{align*}
$$
Result
3 of 3
$$
w = 540~mathrm{N}
$$
w = 540~mathrm{N}
$$
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