In june 1997 the near spacecraft, on its way to photograph the asteroid eros, passed near the asteroid mathilde. from photos transmitted by the spacecraft, mathilde's size was known. it is presumably made of rock. rocks on earth have a density of about 3000 kg/m3 (3 grams/cm2). from the observations of the motion of the spacecraft as it passed mathilde, scientists were able to learn something surprising about the asteroid in this problem you will analyze a similar situation. a spacecraft with mass 900 kg was traveling at nearly constant velocity with speed 9000 m/s. it flew past an asteroid, and the distance of closest approach (d in the diagram) was 3700 km (3.7e6 m). from photos taken by the spacecraft, it was determined that the asteroid had roughly the shape of a box 40 km by 60 km by 20 km (4e4 m by 6e4 m by 2e4 m)