(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?

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Chapter1: Units, Trigonometry. And Vectors
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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
1.
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).
●
M₂
V.
M₂
4/₂
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?
Transcribed Image Text:(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 1. 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). ● M₂ V. M₂ 4/₂ 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?
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