Question

answers A 2.84 kg mud ball has a perfectly inelastic collision with a second mud ball that is initially at rest. The composite system moves with a speed equal to one-seventh the original speed of the 2.84 mud ball. What is the mass of the second mud ball

Answer 1

Answer:

Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:

In case of perfectly inelastic collision v'1 and v'2 are same.

We have following information:

m₁=3 kg

m₂=? kg

v₁=x m/s

v₂=0 m/s

v'1 = v'2 = 1/3 * v₁

Now we insert given information and solve for m₂:

3*v₁ + 0*? = 3*1/3*v₁ + m₂*1/3*v₁

3v₁ = v₁ + m₂*1/3*v₁

2v₁ = m₂*1/3*v₁

2 = m₂*1/3

m₂= 6kg

Mass of second mud ball is 6kg.