9th Class Science Force and laws of motion Question Bank Force And Laws Of Motion IIT JEE Objective Problems

  • question_answer
    A ship of mass \[\text{3}\times \text{1}{{0}^{\text{7}}}\] kg, initially at rest, is pulled by a force of \[\text{5}\times \text{1}{{0}^{\text{4}}}\] through a distance of 3m. Assuming that the resistance due to water is negligible, the speed of the ship is :

    A)  1.5 m/s                               

    B)  60 m/s

    C)  0.1 m/s               

    D)  5 m/s

    Correct Answer: C

    Solution :

       Given, \[m=3\times {{10}^{7}}kg\text{ }u=0\] \[F=5\times {{10}^{4}}N\text{ }S=3\text{ }v=?\] From the relation F = ma, we get We know, \[{{v}^{2}}{{u}^{2}}=2as\]                            ...................(1) Substituting the above values in equation (1) we get \[\Rightarrow \] \[{{v}^{2}}0=2\times \left( \frac{5}{3}\times {{10}^{-3}} \right)\times 3\] \[\Rightarrow \] \[{{v}^{2}}=10\times {{10}^{-3}}={{10}^{-2}}\] \[\Rightarrow \]\[v=0.1\text{ }m/s\]     


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