A wedge $Y$ with mass of 10 kg and all frictionless surfaces and the inclined surface making $37^\circ$ with horizontal. A block $X$ with mass 2 kg is placed at the highest point of the wedge as shown in figure is at rest. At $t = 0$ wedge ($Y$) is pulled toward right with constant force ($f$) of 24 N. Taking the block $X$ at rest at $t = 0$, the time taken by it to slide down 8.8 m on the slope, while $Y$ is on the move, is ________s.

(take $\tan (37^\circ) = 3/4$ and $g = 10 \text{ m/s}^2$)

Question

Ruma reached the metro station and found that the escalator was not working. She walked up the stationary escalator with velocity $ v_1 $ in time $ t_1 $. On another day, if she remains stationary on the escalator moving with velocity $ v_2 $, the escalator takes her up in time $ t_2 $. The time taken by her to walk up with velocity $ v_1 $ on the moving escalator will be:

The Correct Option is A

Solution and Explanation

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