Two carts, Cart A of mass and Cart B of mass

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

Two carts, Cart A of mass 2.0 kg2.0\,\text{kg} and Cart B of mass 3.0 kg3.0\,\text{kg}, are initially at rest and in contact on a frictionless horizontal track. While they are in contact, a constant horizontal force of 10 N10\,\text{N} is applied to Cart A for 0.40 s0.40\,\text{s}. Immediately after the force ceases, an ideal spring bumper between the carts pushes them apart, but no external horizontal forces act on the system after 0.40 s0.40\,\text{s}. What is the speed of the center of mass of the two-cart system after the carts have completely separated? (a) 1.3 m/s1.3\,\text{m/s} (b) 2.0 m/s2.0\,\text{m/s} (c) 0.80 m/s0.80\,\text{m/s} (d) 0.40 m/s0.40\,\text{m/s}

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