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Brrunno
19 days ago
8

Two students, sitting on frictionless carts, push against each other. Both are initially at rest and the mass of student 1 and t

he cart is M, and that of student 2 and the cart is 1.5M. If student 1 pushes student 2 so that she recoils with velocity v,  what is the velocity of student 2.
Physics
1 answer:
inna [3.1K]19 days ago
6 0

Answer:

  v₂ = v/1.5 = 0.667 v

Explanation:

We will apply the conservation of momentum for this problem, defining a system that includes both students and their carts; the forces during contact are considered internal, ensuring momentum is conserved.

Initial momentum before the push

p₀ = 0

Final momentum after the push yields

    p_{f} = m₁ v₁ + m₂ v₂

   0 = m₁ v₁ + m₂ v₂ p_{f}

   m₁ v₁ = - m₂ v₂

Substituting yields

   M (-v) = -1.5M v₂

   v₂ = v / 1.5

  v₂ = 0.667 v

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