JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Work Done by Constant Force

  • question_answer
    A force acts on a 30 gm particle in such a way that the position of the particle as a function of time is given by \[x=3t-4{{t}^{2}}+{{t}^{3}}\], where x is in metres and t is in seconds. The work done during the first 4 seconds is           [CBSE PMT 1998]

    A)             5.28 J 

    B)             450 mJ

    C)             490 mJ

    D)               530 mJ

    Correct Answer: A

    Solution :

                    \[v=\frac{dx}{dt}=3-8t+3{{t}^{2}}\]             \ \[{{v}_{0}}=3\,m/s\] and \[{{v}_{4}}=19\,m/s\]             \[W=\frac{1}{2}m(v_{4}^{2}-v_{0}^{2})\]  (According to work energy theorem)                 \[=\frac{1}{2}\times 0.03\times ({{19}^{2}}-{{3}^{2}})=5.28\,J\]


You need to login to perform this action.
You will be redirected in 3 sec spinner