Question

A small block of mass m is released from rest from position A inside a smooth hemisphere bowl of radius R as shown in figure. Choose the correct option(s)

• A. Acceleration of block is constant throughout
• B. Acceleration of block is g at A
• C. Acceleration of block is 3g at B
• D. Acceleration of block is 2g at B

Answer 1

Answer: (B), (D)

The correct options are
B Acceleration of block is g at A
D Acceleration of block is 2g at B

At point A,
The only force acting on the body is its weight, so acceleration due to gravity is g
Now, At point B
$P.E.=K.E.$
$mgR=\frac{1}{2}m{v}^2$
$\frac{m{v}^2}{R}=2mg$
Thus, acceleration due to gravity is 2g