Asteroid Collision.? Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A , which was initially traveling at 40.0 m/s, is deflected 30.0° from its original direction, while asteroid B, which was initially at rest, travels at 45.0° to the original direction of A (?Fig. E8.31?). (a) Find the speed of each asteroid after the collision. (b) What fraction of the original kinetic energy of asteroid A dissipates during this collision?

Solution 31E Step 1 of 11: (a) Find the speed of each asteroid after the collision. The speed of the each asteroid after collision can be calculated using law of conservation of momentum. Now let us consider the case(1) before collision, the mass of the both the asteroid A and B is M, but asteroid A is initial moving with velocity along x-axis with v = 40 m/s and the other asteroid B is at rest, so its speed will be v = 0 as A1 B1 shown in the figure below,