Mathematics, 08.02.2021 18:50 edjiejwi
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answers: 3
, assuming that 
.
is constant, moving by 
in the direction of the force would do a work of 
.
denote the force required to lift the chain when the height above the ground is 
meters. At that moment, exactly 
of the chain would be above the ground. The mass of that much of the chain would be 
the mass of the whole chain.
.![\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}](/tpl/images/1101/4229/12399.png)
.
of energy to raise one end of the chain to that height of 
.
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A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to...
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