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QJEEM21Ph4aac: JEE Main 2021 Physics - Class 11 JEEM21Ph4aac Solution: A small block slides down from the top of hemisphere of radius…

A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which the block will lose contact with the surface of the sphere is __________ m.

(Assume there is no friction between the block and the hemisphere)

JEE Main 2021 (Online) 27th July Evening Shift Physics - Work Power & Energy Question 76 English

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JEE Main 2021 (Online) 27th July Evening Shift Physics - Work Power & Energy Question 76 English Explanation
mgcos⁡θ=mv2R .... (1)

cos⁡θ=hR

Energy conservation

mg{R−h}=12mv2 ..... (2)

from (1) & (2)

⇒ mg{hR}=2mg{R−h}R

h=2R3 = 2m

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