In late $2022,$ NASA deliberately crashed a spacecraft, DART, into the asteroid Dimorphos at a speed of approximately $6,600$ m$/$s$.$ This was to test NASAs ability to deflect a potential climate$-$destroying asteroid away from Earth, should such an asteroid ever be detected. The DART spacecraft had a mass of approximately $500$ kg$.$  Assume it took $0\mathrm{.}01$ seconds for the mass of the spacecraft to come to a relative stop during the collision. How much force did DART exert on Dimorphos during this collision?  show proof of your answer, but you do not need to specify a direction for this force, only its magnitude.