Answer
See the detailed answer below.
Work Step by Step
The first given formula seems to be a net force exerted on an object vertically. The net force here is NOT zero which means that the object is accelerating upward at a constant rate.
The second formula is the power output of the tension force when the object's speed is 2 m/s.
a) An elevator of 1500 kg mass is pulled up by a wire that is attached to a frictionless pulley. It is accelerating upward at a constant rate of 1 $\rm m/s^2$. Find the tension on the wire, then find the power output of the motor when the speed of the elevator is 2 m/s.
b) See the figure below.
c) Solving the first formula for $T$;
$$T=(1500\times 1)+(1500\times 9.8)=\color{red}{\bf 1.62\times 10^4}\;\rm N$$
Solving the second formula for $P$;
$$P=Tv=1.62\times 10^4\times 2=\color{red}{\bf 3.24\times 10^4}\;\rm W$$
