Problem

The potential energy of a particle is given by

U = 100 - 5x + 100x^2

, where

U

and

x

are in SI units. If the mass of the particle is

0.1\text{ kg}

, find the magnitude of its acceleration as a function of

x

. a. At

0.05 \text{ m}

from the origin is

50 \text{ ms}^{-2}

b. At

0.05 \text{ m}

from the mean position is

100 \text{ ms}^{-2}

c. At

0.05 \text{ m}

from the origin is

150 \text{ ms}^{-2}

d. At

0.05 \text{ m}

from the mean position is

200 \text{ ms}^{-2}