Problem 9: A distant large asteroid is detected that might pose a threat to Earth. If it were to continue moving in a straight line at constant speed, it would pass 26000 km from the center of Earth. However, it will be attracted to Earth and might hit our planet. What is the minimum speed, in meters per second, that the asteroid should have when it is detected for it to miss hitting Earth? In other words, what speed should the asteroid have for it to just barely graze the surface of Earth? Note that, since the asteroid is detected far from Earth, its initial gravitational potential energy can be taken to be zero.