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

  • question_answer
    A force of 5 N acts on a 15 kg body initially at rest. The work done by the force during the first second of motion of the body is                      [JIPMER 1999]

    A)             5 J      

    B)             \[\frac{5}{6}J\]

    C)             6 J      

    D)             \[75\,J\]

    Correct Answer: B

    Solution :

                    \[W=Fs=F\times \frac{1}{2}a{{t}^{2}}\] \[\left[ \text{from}\ s=ut+\frac{1}{2}a{{t}^{2}} \right]\]             Þ \[W=F\left[ \frac{1}{2}\left( \frac{F}{m} \right)\ {{t}^{2}} \right]\]\[=\frac{{{F}^{2}}{{t}^{2}}}{2m}=\frac{25\times {{(1)}^{2}}}{2\times 15}=\frac{25}{30}=\frac{5}{6}\ J\]


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