A body is projected up along a smooth inclined plane with velocity u from the point A as shown in Fig.. The angle of inclination is 45° 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 u? The length of inclined plane is $20 \sqrt{2}$ m.

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Infinity Learn · Accepted Answer

Angle of projection from B is $$45$$°. As the body is able to cross the well of diameter $$40$$ m, $$henceR=v2$$ g or $$v=gR=10$$×$$40=20$$ $$ms-1$$  On the inclined plane, the retardation is gsinα$$=gsin45$$°$$=10/2$$ $$ms-2$$ $$Usingv2-u2=2ax$$ $$(20)2-u2=2$$×$$-102$$×$$202$$ $$u=202$$ $$ms-1$$

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A body is projected up along a smooth inclined plane with velocity u from the point A as shown in Fig.. The angle of inclination is 45° 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 u? The length of inclined plane is 202 m.

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