1. A particle moves in one dimension and is subject to a conservative force, whose potential energy function is given by U(x), where a and b are positive constants. U ( x ) = a x 3 − b x                  a)  Find the two equilibrium positions of the particle.                  b)  For each of the two equilibrium positions, determine whether the equilibrium is stable or unstable.

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Instantaneous Power

Power is defined in physics as the amount of energy transmitted or transformed per unit time. The watt is the unit of electricity in the International System of Units, equivalent to one joule per second.