NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    Ball A of mass m after sliding from an inclined plane strikes elastically with another ball B of mass 3m at rest. The minimum height A, so that the ball B just completes the circular portion of the surface at C will be (all surfaces are smooth)                        

    A)          \[h=\frac{5}{2}\,\,R\]               

    B)  \[h=5R\]

    C)  \[h=8\,R\]        

    D)  \[h=10\,R\]

    Correct Answer: D

    Solution :

    From the conservation of energy, we get \[{{U}_{A}}=\sqrt{2gh}\] \[{{Y}_{B}}=\frac{2{{m}_{1}}{{U}_{A}}}{{{m}_{1}}+{{m}_{2}}}=\frac{{{U}_{A}}}{2}=\frac{\sqrt{2gh}}{2}\] And from the conservation of momentum, we get to complete vertical circle             \[V_{B}^{2}=5gR\] \[\Rightarrow \]   \[\frac{2gh}{4}=5gR\]


You need to login to perform this action.
You will be redirected in 3 sec spinner