Two carts of masses and are connected by a light string

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two carts of masses

1.5\,\text{kg}

and

2.5\,\text{kg}

are connected by a light string. A constant horizontal force of

9.0\,\text{N}

pulls the rear cart to the right on a frictionless track. What is the magnitude of the acceleration of the two-cart system? (a)

3.0\,\text{m}\!/\!\text{s}^2

(b)

2.25\,\text{m}\!/\!\text{s}^2

(c)

4.5\,\text{m}\!/\!\text{s}^2

(d)

1.8\,\text{m}\!/\!\text{s}^2