A force of $200\ \mathrm{N}$ is required to keep an object sliding at a constant speed of $2\ \mathrm{\displaystyle \frac{m}{s}}$ across a rough floor. How much power is being expended to maintain this motion?
A) $50\ \mathrm{W}$
B) $100\ \mathrm{W}$
C) $200\ \mathrm{W}$
D) $400\ \mathrm{W}$
A) $50\ \mathrm{W}$
B) $100\ \mathrm{W}$
C) $200\ \mathrm{W}$
D) $400\ \mathrm{W}$
Using the equation
$$P=F_{v}$$
we find that
$$P=(200\ \mathrm{N})\left(2\ \mathrm{\displaystyle \frac{m}{s}}\right)$$
$$P=400\ \mathrm{W}$$