In a perfectly elastic collision, in addition to momentum always being conserved, the kinetic energy is also conserved. To solve this problem in general is a large and complicated algebra exercise. See the figure below for a definition of the variables in a perfectly elastic collision: masses m₁ and m₂ are moving at initial speeds u₁ and u2 before a collision occurs. After the colllision of m₁ and m2, the masses are moving at final speeds v₁ and ₂. before collision U₁ ▼ m₁ m₂ Part A U₂ m₁ V₁ + after collision For a 2-mass system where m2 = (5/3) m1, u₁ = 4 and u₂ = -6 (a head-on collision), find the final speeds v₁ and 2. m₂ Enter the answers for v₁ and 2 as comma delimited values. For example, if v₁=3 and ₂ = -4, enter the answer as "3,-4" (without quotes)

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Chapter1: Units, Trigonometry. And Vectors
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In a perfectly elastic collision, in addition to momentum always being conserved, the kinetic energy is also conserved. To solve this problem in general is a large and complicated algebra
exercise. See the figure below for a definition of the variables in a perfectly elastic collision: masses m₁ and m₂ are moving at initial speeds u₁ and u2 before a collision occurs. After
the colllision of m₁ and m2, the masses are moving at final speeds V₁ and ₂.
before collision
U₁
▼
m₁
m₂
Part A
U₂
m₁
ΥΠ' ΑΣΦ 4
+
after collision
For a 2-mass system where m2 = (5/3) m₁, u₁ = 4 and u2 = -6 (a head-on collision), find the final speeds ₁ and 2.
V₂
m₂
Enter the answers for ₁ and 2 as comma delimited values. For example, if v₁=3 and V₂ = -4, enter the answer as "3,-4" (without quotes)
?
Transcribed Image Text:In a perfectly elastic collision, in addition to momentum always being conserved, the kinetic energy is also conserved. To solve this problem in general is a large and complicated algebra exercise. See the figure below for a definition of the variables in a perfectly elastic collision: masses m₁ and m₂ are moving at initial speeds u₁ and u2 before a collision occurs. After the colllision of m₁ and m2, the masses are moving at final speeds V₁ and ₂. before collision U₁ ▼ m₁ m₂ Part A U₂ m₁ ΥΠ' ΑΣΦ 4 + after collision For a 2-mass system where m2 = (5/3) m₁, u₁ = 4 and u2 = -6 (a head-on collision), find the final speeds ₁ and 2. V₂ m₂ Enter the answers for ₁ and 2 as comma delimited values. For example, if v₁=3 and V₂ = -4, enter the answer as "3,-4" (without quotes) ?
Expert Solution
Step 1

Given:- 

Two balls of different mass m1 & m2 collied to each other with the initial velocity u1 & u2 and the final velocity after the collision is v1 & v.The collision is perfectly elastic.

Physics homework question answer, step 1, image 1

m2 = (5/3) m1

u1= 4u2= -6

Find:- 

The value of the v1 & v2

 

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