Rankers Physics

Momentum Conservation: Practice Problem & Solution

A ball, moving with a speed v towards north, collides with an identical ball, moving with a speed v towards east. After collision the two balls stick together and move towards north-east. The speed of the combination is
v
v√2
v/√2
v/2

Solution Explained:

To solve this problem, we apply the core principles of Momentum Conservation. Understanding the underlying formula is key to arriving at the correct answer below:

Taking both the balls as one system

mv i + mv j= 2m× v

so, v= v/2 i + v/2  j

so, |v|= v/√2

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