Question

A red 5kg brick has an initial location of (0,0) on a flat surface and a velocity of 3m/s in the positive x direction. A tan 2 kg brick has an initial location of (3,0) which is 3 meters away and is stationary. Ignore friction.

Answer 1

The initial center mass of the two bricks is 2 kg.

Center mass of the two bricks

The center mass of the two bricks is determined by combining the momentum of the two bricks, with one as the reference point.

The initial center mass of the two bricks

The initial center mass of the two bricks is calculated as follows;

$M_{cm} = \frac{M_0 + M_1}{v_1 + v_2} \\\\M_{cm} = \frac{5(0) \ + \ 2(3)}{0 + 3} \\\\M_{cm} = 2 \ kg$

Thus, the initial center mass of the two bricks is 2 kg.

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