Question

Our Addition Problem this week will deal with an asteroid the "size of Texas" heading our way. Our asteroid is heading toward earth at 22,000 mph with a mass of 6.2 x 1021 kg. Instead of a misfit crew of oil drillers we send a small intrepid spacecraft to nudge it off course. After setting down on the asteroid it will give a constant force of 5.0 N. We only need to change the velocity of the asteroid by 0.30 cm/s to have it miss the Earth. How long must the force act on the asteroid to avert disaster?