A body is projected up a smooth inclined plane with a velocity 𝑣0 from the point 𝐴 as shown in figure. The angle of inclination is 45° and top 𝐵 of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of 𝑣0? Length of the inclined plane is 20√2m, and g = 10ms −2

Question : A body is projected up a smooth inclined plane with a velocity 𝑣0 from the point 𝐴 as shown in figure. The angle of inclination is 45° and top 𝐵 of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of 𝑣0? Length of the inclined plane is 20√2m, and g = 10ms −2

(A) 20ms^{-1}

(B) 20\sqrt{2}ms^{-1}

(C) 40ms^{-1}

(D) 20\sqrt{2}ms^{-1}

Answer : option (B)

Solution :

A body is projected up a smooth inclined plane with a velocity 𝑣0 from the point 𝐴 as shown in figure. The angle of inclination is 45° and top 𝐵 of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of 𝑣0? Length of the inclined plane is 20√2m, and g = 10ms −2
A body is projected up a smooth inclined plane with a velocity 𝑣0 from the point 𝐴 as shown in figure. The angle of inclination is 45° and top 𝐵 of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of 𝑣0? Length of the inclined plane is 20√2m, and g = 10ms −2
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