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 v_A1 = 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0? from its original direction, while asteroid B travels at 45.0? to the original direction of A

a. Find the speed of asteroid A after the collision. Express answer in meters per second.

b. Find the speed of asteroid B after the collision. Express answer in meters per second.

c. What fraction of the original kinetic energy of asteroid A dissipates during this collision?