A mass of `2.0 kg` is put on a flat pan attached to a vertical spring fixed on the ground as shown in figure. The mass of the spring and the pan is negligible. When pressed slightly and realeased the mass executes a simple contant is `200 N//m`. What should be the minimum amplitude of the motion, so that the mass gets the detached from the pan? `(Take g= 10 m//s^(2))`

Options

A. 8.0 cm
B. 10.0 cm
C. Any value less than 12.0 cm
D. 4.0 cm

Answer

B

Explanation

Restoring force is balanced by weight of block
`mg=KA,` `Ato`Amplitude
`implies A=(mg)/(k)=(2xx10)/(200)=(10)/(100)m`
`implies A=10cm`
Minimum amplitude of the motion should be 10 cm, so that the mass gets detached from the pan.