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)

Question

TestHub · Accepted Answer

mg cos θ = R mv 2 ​ ....(i) cos θ = R h ​ Energy conservation mg { R − h } = 2 1 ​ mv 2 from (1) & (2) ⇒ mg { R h ​ } = R 2 mg { R − h } ​ h = 3 2 R ​ = 2 m

Physics - W.E.P. Question with Solution | TestHub

Doubts & Discussion

JEE Main (2026)