Two students stand facing each other on frictionless ice

PHYSICS · Single correct · CBSE · Physics · Force and Laws of Motion · Force and Laws of Motion

Problem

Two students stand facing each other on frictionless ice. Student A has mass 50 kg50\,\text{kg} and student B has mass 70 kg70\,\text{kg}. They push each other apart so that student A moves backwards with an acceleration of 6 m s−26\,\text{m}\,\text{s}^{-2}. Which statement is correct? (a) Student B experiences a force of 420 N420\,\text{N} opposite to that on A, and therefore accelerates at 6 m s−26\,\text{m}\,\text{s}^{-2}. (b) Student B experiences a force larger than 300 N300\,\text{N} because her mass is greater. (c) Student B experiences a force of 300 N300\,\text{N} in the opposite direction, and the net external force on the two-student system is zero. (d) Both students accelerate equally because the internal action–reaction forces cancel on the system.

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