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Q.

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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a

40 ms-1

b

402ms-1

c

20 ms-1

d

202ms-1

answer is D.

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Detailed Solution

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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