Two blocks of masses and are in contact and move together on a horizontal surface…

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

Problem

Two blocks of masses m1m_1 and m2m_2 are in contact and move together on a horizontal surface that is essentially frictionless. A constant horizontal force FF is applied to the system. Which of the following gives the magnitude of the acceleration of the blocks’ common center of mass? (a) a=Fm1a=\dfrac{F}{m_1} (b) a=Fm1+m2a=\dfrac{F}{m_1+m_2} (c) a=2Fm1+m2a=\dfrac{2F}{m_1+m_2} (d) a=Fm1+m22a=\dfrac{F}{m_1+\dfrac{m_2}{2}}

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