Question

Block A, with a mass of 4 kg, is moving with a speed of 2 m/s while Block B, with a mass of 8.4 kg, is moving in the opposite direction with a speed of 6.1 m/s. The center of mass of the two block system is moving with a velocity of ____ m/s. Round your answer to the nearest tenth. Assume Block A is moving in the positive direction.

Answer 1

The center of mass move with the velocity of -3.487 m/s.

Step-by-step explanation:

Given values of block A.

Mass of block A, (M1) = 4 kg

Speed of block A, (V1) = 2 m/s

Given values of block B.

Mass of block B, (M2) = 8.4 kg

Speed of block B, (V2) = -6.1 m/s

Below is the formula to find the velocity of center of mass.

`Velocity = (M1V1 + M2V2)/(M1 + M2) \\`

`= (4 * 2 + 8.4 * (-6.1) )/(4 + 8.4) \\`

`= (- 43.24)/(12.4)\\`

`= - 3.487 m/s`