A body is projected up a smooth inclined plane with velocity V from the point A as shown in the figure. The angle of inclination is $45^{o}$ and the
top is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of V? Length of inclined plane is 20 $\sqrt{2}$ m.

Question

Infinity Learn · Accepted Answer

Angle of projection from B is $$45o$$. As the body is able to cross the well of diameter $$40$$ m, henceor R $$=$$ $$v2g$$ or v $$=$$ gRv $$=$$ $$10$$×$$40$$ $$=$$ $$20$$ $$ms-1On$$ the inclined plane, the retardation is:g $$sin$$ α $$=$$ g $$sin$$ $$450$$ $$=$$ $$102ms-2Using$$ $$v2-u2$$ $$=$$ $$2ax$$    (20)2-u2$$ $$=$$ $$2$$ ×$$(-102)×$$202u$$ $$=$$ $$202$$ $$ms-1$$ i.e., V $$=$$ $$202$$ $$ms-1$$

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A body is projected up a smooth inclined plane with velocity V from the point A as shown in the figure. The angle of inclination is 45o and thetop is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of V? Length of inclined plane is 202 m.

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