106. Block A, with a mass of 4 kg, is moving with a speed of 2.0 m/s while block B, with a mass of 8 kg, is moving in the opposite direction with a speed of 3 m/s. The center of mass of the two block-system is moving with a velocity of:

v = 1⅓ m/s in the direction of the 8 kg block.

Explanation:

As momentum is a vector, we need to handle direction as well as magnitude.

If we assume the 4 kg block is moving in the positive direction.

4(2.0) + 8(-3) = (4 + 8)v

v = -1.33333...

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.