Work is defined as a force acting through a distance in the same direction, while power is the rate at which work is done over time. Work is calculated as force multiplied by distance, with the unit of joules, while power is work divided by time and calculated as force multiplied by distance divided by time, with the unit of watts. Both work and power involve the application of a force, but work is the amount of force exerted through a distance regardless of time, whereas power takes into account the time component by measuring the rate at which work is performed.