A “doomsday” asteroid with a mass of \(10^{10}\,\text{kg}\) is hurtling through space. Unless the asteroid’s speed is changed by about \(0.20\,\text{cm/s}\), it will collide with Earth and cause tremendous damage. Researchers suggest that a small “space tug” sent to the asteroid’s surface could exert a gentle constant force of \(2.5\,\text{N}\). For how long must this force act?