The maximum displacement of an oscillatory motion is A=0.49m. Determine the position x at which the kinetic energy of the particle is half it's elastic potential energy

The position x, is ± 0.4 m.

Explanation:

The total mechanical energy of the oscillatory motion is given as;

When the kinetic energy (E) is half of the elastic potential energy (U);

Equate (1) and (2)

Thus, the position x, is ± 0.4 m.

there are no contact forces mentioned on the list of choices that you've provided.