A$)$ A $2\mathrm{.}0$ kg mass is moving along the $x-$axis. The potential energy curve as a function of position is shown in Figure $6.$ The kinetic energy of the object at the origin is $12$ J $...$The system is conservative, and there is no friction.

What will be the speed of the object at $6\mathrm{.}0$ m along the $+x-$axis?

$8.$ B$)$ The potential energy function for a system is given by

$U(x)=-5x^3+x^2+3x$

where x is in meters and U is in Joules.

Find the equilibrium positions. For each, is it a point of stable or unstable equilibrium?