Question

A particle is given an initial speed u inside a smooth spherical shell of radius R = 1 m that it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is –

• A. g$\sqrt{10}$
• B. g
• C. g$\sqrt{2}$
• D. g$\sqrt{6}$

Answer 1

Answer: (A)

g$\sqrt{10}$

Answer 2

From energy conservation v = $\sqrt{3g\mathcal{l}}$

a_c = 3g, a_t = g

a = $\sqrt{ag^{2} + g^{2}}$ = $\sqrt{10}g$