A3.0-kg cart moving to the right with a speed of 1.0 m/s has a head-on collision with a 5.0-kg cart that is initially moving to the left with a speed of 2.0 m/s. after the collision, the 3.0-kg cart is moving to the left with a speed of 1.0 m/s. what is the final velocity of the 5.0-kg cart?

The final velocity of the second cart (5kg) is 0.8 m/s towards the left.

The given parameters;

The final velocity of the second object is determined by applying the principle of conservation of linear momentum as shown below;

Thus, the final velocity of the second cart (5kg) is 0.8 m/s towards the left.

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towards left

Explanation:

As we know that there is no external force on the system of two cart so total momentum of the system is conserved

so we will say

now plug in all data into the above equation

here we assumed that left direction of motion is negative while right direction is positive

so we can solve it for speed v now