Amount of work done required to raise one end of the chain is 158.6 J
Work is said to be done when a force act on a body and it displaced from its position.
It's unit is joule.
W = F × S
where
W = work done
F = force applied
S = displacement
Force acting on the chain with respect to the distance is given by
F = mgx / 10
m is mass
m = 90 kg
g is gravity (9.8 m/s2 for g.)
90× 9.8× x / 10
F = 88.2x Newton
To calculate the amount of work done.
[tex]W = \int\limits^f_i{F(x)} \, dx[/tex]
[tex]W = \int\limits^6_0 {F(x)} \, dx[/tex]
[tex]W = 88.2\int\limits^6_0 {x} \, dx[/tex]
[tex]W = 88.2 | \frac{x^2}{2}|^{6} _{0}[/tex]
W = 88.3( 6² - 0²)/2
W = 88.2 (36- 0) /2
W = 88.2 × 18
W = 158.6 J
Amount of work done required to raise one end of the chain is 158.6 J
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