An elevator in a building can carry a maximum of $10$ persons, with the average mass of each person being $68 \mathrm{k}\mathrm{g}$ . The mass of the elevator itself is $920 \mathrm{k}\mathrm{g}$ and it moves with a constant speed of $3 \mathrm{m}/\mathrm{s}$ . The frictional force opposing the motion is $6000 \mathrm{N}$ . If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator $\left(\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2\right)$ must be at least: