Question – 8 A 0.280-kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with

Question

Question – 8 A 0.280-kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. What is the mass of the second ball

in progress 0
Thu Hương 5 months 2021-07-22T00:08:55+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-22T00:10:08+00:00

    Answer:

    Mass of the second ball is 0.84 kg

    Explanation:

    The collision is said to be elastic collision when the kinetic energy of the system remains conserved after the balls collides. The momentum of the system is also conserved.

    The mass of the first ball is m₁ = 0.280 kg

    We have to the find the mass of second ball m₂.

    Let

        initial velocity of first ball be u₁

       initial velocity of second ball is u₂ =0

       mass of second ball is m₂

       Final velocity of second ball is 0.5 u₁

    As the collision is elastic

     u₂-u₁ = v₂-v₁

       0-u₁ =0.5 u₁-v₁

        v₁ = -0.5 u₁

    According to law of conservation of momentum,

        m
    ₁u₁+m₂u₂=m₁v₁+m₂v₂

    0.280*u₁+m₂*0=0.28* -0.5 u₁+m₂*0.5 u₁

    0.28 u₁ +0.14 u₁  = 0.5u₁m₂

          m₂= 0.84 kg

    The mass of the second ball is 0.84 kg.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )