A) \[\mu {{m}_{1}}g+\frac{\mu {{m}_{2}}g}{2}\]
B) \[\mu {{m}_{1}}g+\mu {{m}_{2}}g\]
C) \[\mu {{m}_{1}}g+\frac{\mu {{m}_{2}}g}{2}\]
D) \[\frac{\mu {{m}_{1}}g+\mu {{m}_{2}}g}{2}\]
Correct Answer: A
Solution :
[a] \[{{W}_{F}}+{{W}_{sp}}+{{W}_{Fric}}=\Delta k\] \[\Rightarrow Fx-\frac{1}{2}k{{x}^{2}}-\mu mg\,\,x=0 and\,\,kx=\mu {{m}_{2}}g\] \[\Rightarrow F-\frac{1}{2}\mu {{m}_{2}}g-\mu {{m}_{1}}g=0\Rightarrow F=\mu {{m}_{1}}g+\frac{\mu {{m}_{2}}g}{2}\]You need to login to perform this action.
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