Two particles of masses and move along the same straight line with velocities and…

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

Two particles of masses m1m_1 and m2m_2 move along the same straight line with velocities v1v_1 and v2v_2 respectively and stick together after they collide. Which one of the following expressions gives the kinetic energy of the composite particle immediately after the collision? (a) 12(m1v12+m2v22)\dfrac{1}{2}\bigl(m_1 v_1^{2} + m_2 v_2^{2}\bigr) (b) m1m2(v1−v2)22 (m1+m2)\dfrac{m_1 m_2 (v_1 - v_2)^2}{2\,(m_1 + m_2)} (c) (m1v1+m2v2)22 (m1+m2)\dfrac{(m_1 v_1 + m_2 v_2)^2}{2\,(m_1 + m_2)} (d) (m1+m2)(v1+v2)22\dfrac{(m_1 + m_2)(v_1 + v_2)^{2}}{2}

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