(i) Two particles of masses m₁ and m₂ moving along the straight line with initial speeds of u₁and u₂ respectively as shown in diagram 1(a).Show that, u₁-U2 = V2-V11.Diagram 1(a)The particles undergo a perfectly elastic head-on collision with its speed v₁ and v2 respectivelyas shown in diagram 1(b).●M₂V.M₂4/₂Diagram 1(b)V₂(ii) If the above particle with mass m₂ is initially at rest, find an expression for the speed, v₁, ofthe first particle after the elastic collision in terms of m₁, m2, and u₁.What will happen to the first particle ifm₁ is greater than m₂?m₁ is equal to m₂?m₁ is smaller than m₂?

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(i) Two particles of masses m₁ and m₂ moving along the straight line with initial speeds of u₁ and u₂ respectively as shown in diagram 1(a). Show that, u₁-u₂ = V2-V1 177₁ Diagram 1(a) The particles undergo a perfectly elastic head-on collision with its speed v₁ and v₂ respectively as shown in diagram 1(b). ● M₁ M₂ V₂ M₂ suz Diagram 1(b) V₂ (ii) If the above particle with mass m₂ is initially at rest, find an expression for the speed, v₁, of the first particle after the elastic collision in terms of m₁, m2, and u₁. What will happen to the first particle if m₁ is greater than m₂? m₁ is equal to m₂? m₁ is smaller than m₂?

(i) Two particles of masses m₁ and m₂ moving along the straight line with initial speeds of u₁ and u₂ respectively as shown in diagram 1(a). Show that, u₁-u₂ = V2-V1 177₁ Diagram 1(a) The particles undergo a perfectly elastic head-on collision with its speed v₁ and v₂ respectively as shown in diagram 1(b). ● M₁ M₂ V₂ M₂ suz Diagram 1(b) V₂ (ii) If the above particle with mass m₂ is initially at rest, find an expression for the speed, v₁, of the first particle after the elastic collision in terms of m₁, m2, and u₁. What will happen to the first particle if m₁ is greater than m₂? m₁ is equal to m₂? m₁ is smaller than m₂?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 61P

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