Answer:
Final speed is 900.06 m/s at
Solution:
As per the question:
Mass of the first asteroid, m =
Mass of the second asteroid, m' =
Initial velocity of the first asteroid, v = 770 m/s
Initial velocity of the second asteroid, v' = 1020 m/s
Angle between the two initial velocities,
Now,
Since, the velocities and hence momentum are vector quantities, then by the triangle law of vector addition of 2 vectors A and B, the resultant is given by:
Thus applying vector addition and momentum conservation, the final velocity is given by:
(1)
Now,
Now, substituting the suitable values in eqn (1), we get:
Now, the direction for the two vectors is given by: