An 8.0 kilogram cart moving to the right at 4.0 meters per second about to make a head-on collision with a 4.0 kilogram cart moving to the left at 6.0 per second. after the collision, the 4.0 kilogram cart moves to the right at 3.0 meters per second. what is the velocity of the 8.0 kilogram cart after the collision?

This question involves the concept of the law of conservation of momentum.

The velocity of the 8 kg cart after the collision is "4 m/s left direction".

According to the law of conservation of momentum, the total momentum of an isolated system before and after the collision remains constant.

where,

Taking the right side as the positive direction and the left side as the negative direction.

Therefore,

v₁ = - 4 m/s

negative sign shows left direction.

Learn more about the law of conservation of momentum here:

link

concave lenses are used here. they spread the light out before it reaches the convex lens in the eye, therefore letting the image focus directly on the retina. hyperopia is known to you probably as farsightedness.