","comment":{"@type":"Comment","text":"Use the formula of final velocities of the colliding objects after collision derived from the conservation of momentum and conservation of kinetic energy in the system. "},"encodingFormat":"text/markdown","suggestedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" $$2$$ m/s and $$8$$ m/s","position":1},{"@type":"Answer","encodingFormat":"text/html","text":" $$0$$ m/s and $$1.8$$ m/s","position":2},{"@type":"Answer","encodingFormat":"text/html","text":" $$2$$ m/s and $$0$$ m/s","position":3}],"acceptedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" $$1.6$$ m/s and $$1.8$$ m/s ","position":0,"answerExplanation":{"@type":"Comment","text":" $$\\text{The formula for final velocities after collision is given by,}\\\\ {{v}_{1}}=\\dfrac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}{{u}_{1}}+\\dfrac{2{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}{{u}_{2}}\\\\ {{v}_{2}}=\\dfrac{2{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}}{{u}_{1}}+\\dfrac{{{m}_{2}}-{{m}_{1}}}{{{m}_{1}}+{{m}_{2}}}{{u}_{2}}\\\\ \\text{ According to the question,}\\\\ {{m}_{1}}=1kg,{{m}_{2}}=1.5kg, {{u}_{1}}=2\\,m/s\\,\\text{and}\\,{{u}_{2}}=5\\,m/s\\\\ \\text{Now, putting the above values in equation (i) and (ii), we get,}\\\\ {{v}_{1}}=1.6\\,m/s\\,\\text{and}\\,{{v}_{2}}=1.8\\,m/s$$","encodingFormat":"text/html"},"comment":{"@type":"Comment"}}]},{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"beginner","name":"Elastic collisions Quiz 1","text":"In elastic collision, the angle of scattering is independent of ","comment":{"@type":"Comment","text":"The angle of scattering of the body initially at rest depends on the masses of the colliding bodies and the deviation of the colliding body initially in motion. "},"encodingFormat":"text/markdown","suggestedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" Initial velocity of the colliding bodies ","position":0},{"@type":"Answer","encodingFormat":"text/html","text":" Masses of the colliding bodies","position":1},{"@type":"Answer","encodingFormat":"text/html","text":" None of the above","position":3}],"acceptedAnswer":[{"@type":"Answer","encodingFormat":"text/html","text":" Final velocity of the colliding bodies ","position":2,"answerExplanation":{"@type":"Comment","text":" $$\\text{The angle of scattering of the first object}\\,{{\\theta }_{1}}\\\\ \\text{and the second object $${{\\theta }_{2}}$$ are given by the following relation,}\\\\ \\tan {{\\theta }_{2}}=\\dfrac{\\sin {{\\theta }_{1}}}{\\cos {{\\theta }_{1}}+\\dfrac{{{m}_{1}}}{{{m}_{2}}}}\\\\ \\text{Thus, the angle of scattering is independent of final velocity of the colliding bodies.}$$","encodingFormat":"text/html"},"comment":{"@type":"Comment"}}]}]}