Answer:
v₁ = 17.1 cm/s
v₂ = 22.1 cm/s
Explanation:
From the principle of linear momentum, the momentum is conserved
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where m₁ = mass of first object = 25.0 g
u₁ = initial velocity of first object = 20 cm/s
m₂ = mass of second object = 10.0 g
u₂ = initial velocity of second object = 15.0 cm/s
v₁ = final velocity of first object
v₂ = final velocity of second object
25 * 20 + 10 * 15 = 25 * v₁ + 10 * v₂
650 = 25v₁ + 10v₂ ----(1)
Also in an elastic collision, Kinetic energy is conserved and sum of initial and final velocities is conserved
u₁ + v₁ = u₂ + v₂
20 + v₁ = 15 + v₂
v₂ = 5 + v₁
Substitute v₂ = 5 + v₁ in (1)
650 = 25v₁ + 10(5 + v₁)
90 = 25v₁ + 10v₁ + 50
35v₁ = 600
v₁ = 600/35
v₁ = 17.1 cm/s
Therefore, v₂ = 5 + 17.1 cm/s
v₂ = 22.1 cm/s
The motion with respect to the direction is called velocity. The change of velocity is known as acceleration.
According to the question. The value is as follows:-[tex]25 * 20 + 10 * 15 = 25 * v_{1} + 10 * v_{2}[/tex]
[tex]650 = 25v_{1} + 10v_{2} ----(1)[/tex]
Also in an elastic collision, Kinetic energy is conserved and the sum of initial and final velocities is conserved
[tex]u_{1} + v_{2} = u_{1} + v_{2}[/tex]
After putting the value:- [tex]20 + v_{1} = 15 + v_{2}[/tex]
Hence:- v₂ = 5 + v₁
After solving both the equation, the value of V will be
v₁ = [tex]\frac{600}{35}[/tex]
Hence the value of V is 17.1 cm/s
Therefore, v₂ = 5 + 17.1 cm/s
v₂ = 22.1 cm/s
For more information, refer to the link:-
https://brainly.com/question/13639113
