How is the power related to the speed at whic | vedclass

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(B) Power is defined as the rate of doing work. When lifting an object,the work done is equal to the change in potential energy,which is $mgh$.Power $

Vedclass · Accepted Answer

$10$

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(B) Power is defined as the rate of doing work. When lifting an object,the work done is equal to the change in potential energy,which is $mgh$.Power $P = \frac{W}{t} = \frac{mgh}{t} = mg \left(\frac{h}{t}ight)$.Since speed $v = \frac{h}{t}$,the relationship is $P = mgv$.Given: Power $P = 100\, W$,speed $v = 1\, m\, s^{-1}$,and acceleration due to gravity $g = 10\, m\, s^{-2}$.Rearranging the formula to find mass $m$: $m = \frac{P}{g 	imes v}$.Substituting the values: $m = \frac{100}{10 	imes 1} = 10\, kg$.

How is the power related to the speed at which a body can be lifted? How many kilograms will a man working at the power of $100\, W$ be able to lift at a constant speed of $1\, m\, s^{-1}$ vertically (in $, kg$)? $(g = 10\, m\, s^{-2})$

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