Answer:695.5 N
Explanation:
mass of child [tex]m=41 kg[/tex]
Length of chain [tex]L=2.98 m[/tex]
Tension in each chain [tex]T=348 N[/tex]
(a)Tension at bottom point [tex]T=348 N[/tex]
At lowest Point
[tex]T+T-mg=\frac{mv^2}{L}[/tex]
[tex]2T-mg=\frac{mv^2}{L}[/tex]
[tex]2\times 348-41\times 9.8=\frac{41\times v^2}{2.98}[/tex]
[tex]v^2=\frac{294.2\times 2.98}{41}[/tex]
[tex]v=\sqrt{21.38}=4.62 m/s[/tex]
(b)Force exerted by Seat will be Equal to Normal reaction
[tex]N-mg=\frac{mv^2}{L}[/tex]
[tex]N=mg+\frac{mv^2}{L}[/tex]
[tex]N=41\times 9.8+\frac{41\times 21.38}{2.98}[/tex]
[tex]N=695.95 N[/tex]