During a snowball fight, two snowballs travelling towards each other collide hea

Question

During a snowball fight, two snowballs travelling towards each other collide head-on. The first is moving east at a speed of 16.4 m/s and has a mass of 0.450 kg. The second is moving west at 13.5 m/s. When the snowballs collide, they stick together and travel west at 3.50 meters per second. What is the mass of the second snowball?

During a snowball fight, two snowballs travelling towards each other collide head-on. The first is moving east at a speed of 16.4 m/s and has a mass of 0.450 kg. The second is moving west at 13.5 m/s. When the snowballs collide, they stick together and travel west at 3.50 meters per second. What is the mass of the second snowball?

Explanation / Answer

Use the law of conservation of momentum to find the mass.

m1u1-m2u2 = - (m1+m2)v

0.45*16.4 - m2*13.5 = -(0.45+m2)3.5

Hence the mass of the second Ball is,

m2 = 0.8955 kg

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