22.2
A cuboidal car of height 3 m is slipping on a smooth inclined plane.
A bolt released from the roof of car from centre of roof(p) then distance from centre of roof where bolt hits the floor with respect to car is:
(A) 5 m
(B) 4 m
(C) 3m
(D) None of these
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Answer:
3 meter.
Explanation:
Since, the components are already known hence the acceleration will be gcosx(letting x be the inclination).
So, S on y axis = 1/2at^2 or 3= 1/2(gcosx)t^2 so, t will be √(6/gcosx).
Then, the car travels, so distance s=1/2gcosx( √(6/gcosx))^2 which on solving will give us s=3tanx. We will get the bolt and the cars distance will be same and the x and the y coordinates of the bolt will be same so tanx will be 1. Therefore the distance will be 3 meter.
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