A construction crane lifts loads vertically at a constant speed of using a motor…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A construction crane lifts loads vertically at a constant speed of 0.50 m s−10.50\,\text{m s}^{-1} using a motor rated at 5.0 kW5.0\,\text{kW}. (i) Calculate the tension in the lifting cable while a load is being raised at the stated speed. (ii) Hence determine the maximum mass of the load that can be lifted at this speed. Take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}. (iii) If the operator wishes to raise the same maximum mass at a speed of 0.75 m s−10.75\,\text{m s}^{-1}, what minimum motor power (in kW) would be required?

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