A) the body covers a distance 3 m on the platform in the direction of motion of the platform.
B) the body covers a distance 3 m on the platform opposite to the direction of motion of plat form before coming to rest.
C) the body covers a distance 6 m on the platform in the direction of motion of the platform.
D) the body covers a distance 6 m on the platform opposite to the direction of motion of plat form before coming to rest.
Correct Answer: D
Solution :
Since \[M>>m\]. The velocity of M remains unchanged after is m is placed on to it. Acceleration of m,\[a=\frac{\mu mg}{m}=\mu g\] Initial relative acceleration \[{{a}_{mM}}={{a}_{mE}}-{{a}_{mE}}=a-0=a\] and initial relative velocity, \[{{v}_{mM}}={{m}_{mE}}+{{v}_{ME}}=0-v=-v\] Hence, \[{{S}_{m}}M=\frac{{{v}^{2}}}{2\mu g}=\frac{{{(6)}^{2}}}{2\times 0.3\times 10}=6\,m\]You need to login to perform this action.
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