Three carts sit on a frictionless straight track at the following positions: a cart at

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Three carts sit on a frictionless straight track at the following positions: a

1.5\,\text{kg}

cart at

x=+1.0\,\text{m}

, a

2.0\,\text{kg}

cart at

x=-0.5\,\text{m}

, and a

0.5\,\text{kg}

cart at

x=+2.0\,\text{m}

. What is the x-coordinate of the center of mass of the system? (a)

+0.88\,\text{m}

(b)

+0.50\,\text{m}

(c)

+0.38\,\text{m}

(d)

+0.83\,\text{m}