A small ball of mass 1 kg strikes a wedge of mass 4kg
horizontally with m/s.
a velocity of 10 Friction is absent
everywhere and collision is elastic.
Answers
Given : A small ball of mass 1 kg strikes a wedge of mass 4kg horizontally with a velocity of 10 m/s.
Friction is absent everywhere and collision is elastic.
To find : Velocities after collision
Solution:
m₁ = 1 kg u₁ = 10 m/s
m₂ = 4 kg u₂ = 0 m/s ( at rest)
m₁ = 1 kg v₁ = ?
m₂ = 4 kg v₂ = ?
conservation of momentum
m₁ u₁ + m₂u₂ = m₁ v₁ + m₂v₂
=> 1 * 10+ 0 = v₁ + 4v₂
=> v₁ + 4v₂ = 10
collision is elastic. hence conservation of energy
(1/2)m₁ u₁² + (1/2)m₂u₂² = (1/2)m₁ v₁² + (1/2)m₂v₂²
=> m₁ u₁² + m₂u₂² = m₁ v₁² + m₂v₂²
=> 100 + 0 = v₁² + 4v₂²
=> v₁² + 4v₂² = 100
v₁ + 4v₂ = 10
=> v₁ = 10 - 4v₂
(10 - 4v₂ )² + 4v₂² = 100
=> 20v₂² - 80v₂ + 100 = 100
=> 20v₂² - 80v₂ = 0
=> 20v₂ - 80 = 0
=> v₂ = 4
v₂ = 4
v₁ = - 6
1 kg velocity = - 6 m/s
4 kg velocity = 4 m/s
Learn More"
consider a system of two masses m1 and m2.
https://brainly.in/question/37294895
A moving body of mass m collides head on elastically with a ...
brainly.in/question/36012146
A pool ball moves at 2.1 m/s to the right (+x direction) and hits an ...
brainly.in/question/12044956