The mass of a lift is 2500 kg. When the tension in the supporting cable is 30000 N, then its acceler

Question

The mass of a lift is 2500 kg. When the tension in the supporting cable is 30000 N, then its acceleration is (Take $g = 10 \mathrm{~m/s}^2$)

Professor PC Thomas Classes · Answer

Tension $T = 30000 \mathrm{~N}$, Weight $Mg = 2500 	imes 10 = 25000 \mathrm{~N}$. Since $T > Mg$, the lift is accelerating upwards. $T - Mg = Ma \implies 30000 - 25000 = 2500a \implies 5000 = 2500a \implies a = 2 \mathrm{~m/s}^2$. Thus, $2 \mathrm{~m/s}^2$ upwards.