An object of mass 2m is travelling at a speed of 5.0 m s⁻¹ in a straight line. It collides with an object of mass 3m which is initially stationary, as shown in Fig. 3.1.
After the collision, the object of mass 2m moves with velocity v at an angle of 30° to its original direction of motion. The object of mass 3m moves with velocity w also at an angle of 30°, as shown in Fig. 3.2.
By considering the conservation of momentum in two dimensions, calculate the magnitudes of v and w.


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Suggested time: 6 min