Two spherical balls of 2.0 kg and 3.0 kg masses are moving towards each other with velocities of 6 m/s and 4 m/s respectively. What must be the velocity of the smaller ball after the collision, if the velocity of the bigger ball is 3 m/s?
NTS 2015 DUHS and JSMU
Physics
Forces and Motion
Elastic and Inelastic Collisions
Elimination Tool:
Initial velocity of 2 kg mass = 6 m/s.
Initial velocity of 3kg mass = -4 m/s.
[-ve sign indicates the opposite direction.]
Final velocity of 3kg mass = 3m/s
We need to find the final velocity of a 2kg mass.
In any collision, the system’s linear momentum is conserved.
Momentum is defined as the product of mass and velocity.
➝ Initial P = Final P
The equation m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
➝ (2×6) + (3×-4) = (2v₁) + (3×3)
➝ 12 – 12 = 2v₁ + 9
➝ 2v₁ = -9
➝ v₁ = -9/2
➝ v₁ = -4.5 m/s
As a result, following the collision, the small ball will move in the opposite direction at a velocity of -4.5m/s.
Initial velocity of 2 kg mass = 6 m/s.
Initial velocity of 3kg mass = -4 m/s.
[-ve sign indicates the opposite direction.]
Final velocity of 3kg mass = 3m/s
We need to find the final velocity of a 2kg mass.
In any collision, the system’s linear momentum is conserved.
Momentum is defined as the product of mass and velocity.
➝ Initial P = Final P
The equation m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
➝ (2×6) + (3×-4) = (2v₁) + (3×3)
➝ 12 – 12 = 2v₁ + 9
➝ 2v₁ = -9
➝ v₁ = -9/2
➝ v₁ = -4.5 m/s
As a result, following the collision, the small ball will move in the opposite direction at a velocity of -4.5m/s.