| A block of mass \[{{m}_{1}}\]is placed over a plank of mass \[{{m}_{2}}.\]Block and plank are given initial velocities \[{{v}_{1}}\]and \[{{v}_{2}}\]relative to ground \[({{v}_{1}}>{{v}_{2}}).\] |
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| There is friction between block and plank, but there is no friction between plank and ground. |
| Correct variation of velocity of block \[{{v}_{b}}\]and velocity of plank \[{{v}_{p}}\] is |
A)
B)
C)
D)
Correct Answer: D
Solution :
For \[{{v}_{1}}>{{v}_{2}},\]slows down and \[{{m}_{2}}\]speed up till their velocities are equal at some time \[{{t}_{0}}.\] where, \[{{t}_{0}}=\frac{|{{v}_{1}}-{{v}_{2}}|}{\left( 1+\frac{{{m}_{1}}}{{{m}_{2}}} \right){{\mu }_{k}}g}\]
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