The total momentum of the system is 22500 kg-m/s i + 37500 kg-m/s j.
Momentum is given by the formula,
P = m * v
where, m is mass
v is velocity
Given that,
Mass of the first car m₁ = 1500 kg
Mass of the second car m₂ = 1500 kg
Velocity of the first car v₁ = 25 m/s
Velocity of the second car v₂ = 15 m/s
The momentum of the first car is p₁ = m₁ * v₁ = 1500 * 25 = 37500 kg-m/s j
The momentum of the second car is p₂ = m₂ * v₂ = 1500 * 15 = 22500 kg-m/s i
The total momentum of the system is sum of momentum of both the cars.
⇒ 22500 kg-m/s i + 37500 kg-m/s j
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