An astronaut shoots you in space given that the bullet is weightless, could it injure you?

No, the bullet would not be able to injure you in space. This is because in the vacuum of space, there is no air resistance to slow down or stop the bullet. Without air resistance, the bullet would continue moving at a constant velocity until something else comes in its path. However, in order for a bullet to cause injury, it needs penetrating power, which comes from kinetic energy. Without the force of gravity or any other external forces, the bullet would lack the needed kinetic energy to cause any significant harm.

In space, both the astronaut and the bullet would be traveling at the same velocity, making it unlikely for the bullet to hit you directly. Additionally, without the presence of oxygen, a bullet shot in space would not create an explosion or combustion, further reducing its potential to cause harm.