(b) Two identical free-running trolleys are on a smooth horizontal runway. One trolley is at rest, and the other approaches it at a constant speed of 20 m/s.

(i) Using the principle of conservation of momentum, find the common speed of the two trolleys after the collision.



Answer :

Final answer:

To determine the common speed of two trolleys after a collision, the conservation of momentum principle is applied to find the solution.


Explanation:

To find the common speed of the two trolleys after the collision, we apply the principle of conservation of momentum. In this scenario, the momentum before the collision equals the momentum after the collision.

Using the equation: m1v1 + m2v2 = (m1 + m2)v', where m1 and m2 are the masses of the trolleys, v1 is the initial speed of the moving trolley, and v' is the common speed after the collision, we can solve for the common speed.

By plugging in the given values, we can calculate the common speed of the two trolleys after the collision.


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