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Question Number 184726 by yaslm last updated on 10/Jan/23

Answered by mr W last updated on 11/Jan/23

$$k\sqrt{20}=6000$$$$\Rightarrow k=\frac{6000}{\sqrt{20}}=\frac{3000}{\sqrt{5}}\approx 1342$$$$R={\int }_0^{20}k\sqrt{x}dx=\frac{2k}{3}{\left(20\right)}^{\frac{3}{2}}=\frac{2\times 20\times 6000}{3}=80000N$$$$\stackrel{-}{X}=\frac{1}{R}{\int }_0^{20}kx\sqrt{x}dx=\frac{1}{R}\times \frac{2k}{5}{\left(20\right)}^{\frac{5}{2}}=\frac{3\times 20}{5}=12m$$

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