Respuesta :
Answer:
The change in momentum of the system is, MV = 11000 kg m/s
Explanation:
Given data,
The velocity of a car towards the north, v₁ = 25 m/s
The velocity of another car towards the south, v₂ = 15 m/s
The mass of each car, m₁, m₂ = 1100 kg
The momentum of the first car,
p₁ = m₁ v₁
= 1100 x 25
= 27500 kg m/s
The momentum of the second car with respect to the first car,
p₂ = m₂v₂
= 1100 x (-15)
= -16500 kg m/s
According to the law of conservation of momentum,
m₁v₁ + m₂v₂ = MV
The combined mass of the car is M and V is their combined velocity,
Therefore,
MV = 27500 kg m/s -16500 kg m/s
= 11000 kg m/s
Therefore, the change in momentum of the system is, MV = 11000 kg m/s
