AMU Medical AMU Solved Paper-1995

  • question_answer
    Work done by a force of 2 N acting along the \[x-\]axis on a body that moves from a point (3, 4) to another point (6, 8), distances being in metres, is

    A)  6 J               

    B)  8 J

    C)  10 J              

    D)  16 J

    Correct Answer: C

    Solution :

    : Distance between two points\[({{x}_{1}},{{y}_{1}})\]and\[({{x}_{2}},{{y}_{2}})\]is given by \[{{(distance)}^{2}}={{({{x}_{1}}-{{x}_{2}})}^{2}}+{{({{y}_{1}}+{{y}_{2}})}^{2}}\] \[\therefore \] \[{{(distance)}^{2}}={{(6-3)}^{2}}+{{(8-4)}^{2}}\] \[={{(3)}^{2}}+{{(4)}^{2}}=9+16=25\] or distance \[=5\text{ }m\] \[\therefore \] Work done = force\[\times \] distance\[=(2\times 5)J\] \[=10J.\]


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