Given:
The power exerted by the crane is P = 11kW = 11000 W.
The time is t = 4 s.
The mass of the object is m = 100 kg.
The acceleration of the object is a = 0.1 m/s^2.
To find the height of the body, h.
Explanation:
The height of the body can be calculated by the formula
[tex]\begin{gathered} P=\text{ }\frac{force\times displacement}{time} \\ =\frac{ma-mg\times h}{t} \\ h=\frac{Pt}{ma-mg} \end{gathered}[/tex]On substituting the values, the height will be
[tex]\begin{gathered} h\text{ =}\frac{11000\times4}{(100\times0.1)-(100\times9.8)} \\ =-45.36\text{ m} \end{gathered}[/tex]Here, the negative sign indicates that the object is moving upwards.
