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BCECE Engineering BCECE Engineering Solved Paper-2010

  • question_answer
    Find the lifting force of a 4 kg cork life belt in sea water, if the densitites of cork and sea water are \[0.2\,\times {{10}^{3}}kg/{{m}^{3}}\] and \[1.03\,\times {{10}^{3}}kg/{{m}^{3}}\] respectively.

    A)  163 N        

    B)                        273 N

    C)  119 N                   

    D)         298 N

    Correct Answer: A

    Solution :

    Volume of cork\[=\frac{4}{0.2\times {{10}^{3}}}{{m}^{3}}\] Weight of liquid displaced when cork is fully immersed in water \[=\frac{4}{200}\times 1.03\times {{10}^{3}}\times 9.8\,N\]                 Lifting force                 \[=\frac{4}{200}\times 1.03\times {{10}^{3}}\times 9.8-4\times 9.8\]                                 \[=201.88-39.2\] \[=163\,N\]


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