RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    A moving body of mass in and velocity 3 km/hr. Collides with a body at rest and of mass 2 in and then sticks to it. Now the combined mass starts to move, then the combined velocity will be:

    A)  4 km/hr                              

    B)  3 km/hr

    C)  2 km/hr              

    D)         1 km/hr

    Correct Answer: D

    Solution :

    Here: Mass of the body\[{{m}_{1}}=m\] Velocity of the first body \[{{u}_{1}}=312\,m/\sec \] Mass of second body at rest \[{{m}_{2}}=2\,m\] Velocity of second body \[{{u}_{2}}=0\] After combination total mass of the body \[M=m+2m=3m\]Now from the law of conservation of momentum \[M\upsilon ={{m}_{1}}\,{{u}_{1}}+{{m}_{2}}\,{{u}_{2}}\] (where        \[M=m+2\,m=3m)\]                   \[3m\upsilon =m\times 3+2m\times 0\]                        \[\upsilon =1\,km/hr\]


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