Answer:
The magnitude of the velocity of the 1.0-kilogram cart will be 10 m/s Eastward direction.
Explanation:
Given;
mass of the first cart, m₁ = 5.0 kg
mass of the second cart, m₂ = 1.0 kg
velocity of the first cart, v₁ = 2 m/s
velocity of second cart, v₂ = ?
Apply the principle of conservation of linear momentum;
m₁v₁ + m₂v₂ = 0
m₁v₁ = -m₂v₂
(5 x 2) = -(1 x v₂)
10 = -v₂
v₂ = - 10 m/s (the negative sign indicates Eastward direction)
Therefore, the magnitude of the velocity of the 1.0-kilogram cart will be 10 m/s Eastward direction.
