Physics, 23.01.2020 00:31, neelydeY23
Arope is lying on the floor and has a mass which applies a force of 3 n/m. how much work is required to raise one end of the rope to a height of 2 meters?
Answers: 1
newtons to lift an object at height 
, the work done lifting the object from 
to 
can be found using the definite integral about 
.
regardless of height ![\displaystyle \int \limits_{a}^{b} (m \cdot g)\, dh = \left[m \, g\, h \right]_a^b = m\cdot g \, (b - a)](/tpl/images/0466/5112/24702.png)
.
, nothing is being lifted. The amount of force required would be zero. At height 
, one meter of the rope is in the air. That requires a force of at least 
.In general, at a height of 
Newtons.
where 
is in Newtons and ![\begin{aligned} W &= \int \limits_{a}^{b} F(h)\, dh \cr &= \int \limits_{0}^{2}3\, h \, dh && \text{Apply the power rule.}\cr &= \left[\frac{3}{2}\,h^2\right]_{0}^{2}\cr &= \frac{3}{2} \times 2^2 \cr &= 6\end{aligned}](/tpl/images/0466/5112/e39b0.png)
.
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Arope is lying on the floor and has a mass which applies a force of 3 n/m. how much work is required...
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