Some asteroid is moving towards a base in space, such that the base is positioned on the xaxis and is 2000 meters wide on the xaxis. This asteroid, moving at 500 m/s along the yaxis, is on a collision course targeted at the center of the base. However, explosives are planted on the asteroid, which makes it explode into two separate pieces. The two separate pieces will have masses of of m and 2m. 1. Please draw the trajectory of the CM of the asteroid as well as the system after the explosion (with the two separate masses). 2. At the same time, the two split pieces of asteroid reach the base. The piece with mass, m, passes by the right side of the bass at 1800m from the edge of the bass. Will the asteroid piece with mass, 2m, hit the base? Please prove if it will or will not. 3. The asteroid piece of mass, m, will be moving at a direction that is makes a 30 degree angle along the x axis, and its speed will be 1000 m/s. What is the speed of the split asteroid of mass, 2m?

Some asteroid is moving towards a base in space, such that the base is positioned on the xaxis and is 2000 meters wide on the xaxis. This asteroid, moving at 500 m/s along the yaxis, is on a collision course targeted at the center of the base. However, explosives are planted on the asteroid, which makes it explode into two separate pieces. The two separate pieces will have masses of of m and 2m. 1. Please draw the trajectory of the CM of the asteroid as well as the system after the explosion (with the two separate masses). 2. At the same time, the two split pieces of asteroid reach the base. The piece with mass, m, passes by the right side of the bass at 1800m from the edge of the bass. Will the asteroid piece with mass, 2m, hit the base? Please prove if it will or will not. 3. The asteroid piece of mass, m, will be moving at a direction that is makes a 30 degree angle along the x axis, and its speed will be 1000 m/s. What is the speed of the split asteroid of mass, 2m?