7th Class Science Related to Competitive Exam Question Bank Work and energy

  • question_answer
    DIRECTIONS: On the basis of following diagram/ picture answer the questions given below: A car and a bike are moving with same velocity on two different roads as shown below. If their K.E. are 100 J and 80 J respectively, then, the ratio of their respective masses is

    A) 4:5                              

    B) 5:4

    C) 2:5                              

    D) 4:10

    Correct Answer: B

    Solution :

        For car, \[K.E.=100J,{{v}_{C}}=v\] \[\text{From K}\text{.E}\text{.=}\frac{1}{2}m{{v}^{2}}\] \[100=\frac{1}{2}{{m}_{c}}{{v}^{2}}\] For bike, \[K.E.=80J,{{v}_{B}}=v\] \[80=\frac{1}{2}{{m}_{B}}{{v}^{2}}\] \[\frac{K.E{{.}_{C}}}{K.E{{.}_{B}}}=\frac{100}{80}=\frac{\frac{1}{2}{{m}_{C}}{{v}^{2}}}{\frac{1}{2}{{m}_{B}}{{v}^{2}}}\] or, \[\]


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