A horizontal force of is applied to a cart that is lightly connected by a string to a…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A horizontal force of 12 N12\,\text{N} is applied to a 4 kg4\,\text{kg} cart that is lightly connected by a string to a 2 kg2\,\text{kg} cart on a frictionless track. While the force is applied, what is the magnitude of the acceleration of the center of mass of the two-cart system? (a) 3.0 m ⁣/ ⁣s23.0\,\text{m}\!/\!\text{s}^2 (b) 2.0 m ⁣/ ⁣s22.0\,\text{m}\!/\!\text{s}^2 (c) 1.5 m ⁣/ ⁣s21.5\,\text{m}\!/\!\text{s}^2 (d) 4.0 m ⁣/ ⁣s24.0\,\text{m}\!/\!\text{s}^2

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