Question6 A car of mass 1500 kg is pulled up an incline $(\theta=30)$ by a winch with constant velocity of $10 \mathrm{~m} / \mathrm{s}$. The coefficient of kinetic friction between tires and the inclined way is 0.2 . Find the instantaneous power supplied by the winch during the pull of the car up the incline. $\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$
Select one: a. 109.8 kW b. 1980 W c. 101 kW d. 100 kW

Studdy Solution
Calculate the power supplied by the winch. Power $P$ is given by the product of the force and the velocity: $$P = F_p \times v = 10098 \, \text{N} \times 10 \, \text{m/s} = 100980 \, \text{W}$$ Convert to kW: $$P = 100980 \, \text{W} = 100.98 \, \text{kW} \approx 101 \, \text{kW}$$
Therefore, the instantaneous power supplied by the winch is approximately $101 \, \text{kW}$.
The correct answer is: c. 101 kW