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Q.

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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a

40 ms-1

b

402 ms-1

c

20 ms-1

d

202 ms-1

answer is D.

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Detailed Solution

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.