A) The maximum possible acceleration of the insect can be \[14\text{ }m/{{s}^{2}}\]
B) The maximum possible acceleration of the insect can be \[\text{2 }m/{{s}^{2}}\]
C) the insect can move with a constant velocity
D) the insect cannot move with a constant velocity
Correct Answer: C
Solution :
[c] \[\operatorname{mg}\,sin\theta +mg cos \theta =ma\] \[a=g\,\sin \theta +g\cos \theta =10\left[ \frac{3}{5}+\frac{4}{5} \right]=14m/{{\sec }^{2}}\] \[\operatorname{If}\,{{f}_{r}}=mg\,\sin \theta \] \[=mg\times \frac{3}{5}=\frac{3mg}{5}<{{f}_{r\max }}\] \[{{f}_{r}}<{{f}_{r\max }}\] \[\frac{3mg}{5}<\frac{4mg}{5}\] Hence, insect can move with constant velocity.You need to login to perform this action.
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