A spring-loaded ballistic cart is in contact with a second cart. The velocity of the other cart is 0.25 m/s.
What is the conservation of linear momentum?
When there is no external force acting on the system, the initial momentum is equal to the final momentum.
Momentum is equal to the product of mass and its velocity.
According to the conservation of linear momentum,
m₁v₁ +m₂v₂ = m₁u₁ +m₂u₂
u and v represents the initial and final velocity. 1 and 2 represents the first and second cart.
Given is m₁ = 0.5 kg, m₂ =0.8kg, u₁ =u₂ =0 m/s and v₁ = 0.4 m/s.
Substituting the values in the conservation of momentum equation, we get the velocity of second cart is
0.5 x 0.4 + 0.8 x v₂ = 0.5 x 0 + 0.8 x 0
v₂ = +0.25 m/s (in the direction of first cart)
Thus, the velocity of the other cart is 0.25 m/s.
Learn more about conservation of linear momentum.
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