JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Graphical Questions

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    A 10kg mass moves along x-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from \[x=0\] to \[x=8\,cm\]                         [AMU (Med.) 2000]

    A)             \[8\times {{10}^{-2}}joules\]          

    B)             \[16\times {{10}^{-2}}joules\]

    C)             \[4\times {{10}^{-4}}joules\]

    D)               \[1.6\times {{10}^{-3}}joules\]

    Correct Answer: A

    Solution :

                    Work done = Area covered in between force displacement curve and displacement axis             = Mass ´ Area covered in between acceleration-displacement curve and displacement axis.             = \[10\times \frac{1}{2}(8\times {{10}^{-2}}\times 20\times {{10}^{-2}})\]             = \[8\times {{10}^{-2}}\,J\]


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