# The potential energy of a particle on the line y = 2 x are same at every point. The conservative force on a the particle at (1,2) may be

Q: The potential energy of a particle on the line y = 2 x are same at every point. The conservative force on the particle at (1 , 2) may be

(a) 4i + 3j

(b) 4i + 8j

(c) 8i + 4j

(d) – 8i + 4j

$F = -\frac{dU}{dr}$
hence , $\vec{F} = – 8 \hat{i} + 4 \hat{j}$ ; because slope = 4/-8 = -1/2