A block of mass 0.5 kg hanging from a vertical spring executes simple harmonic motion of amplitude 0.1 m and time period 0.314s. Find the maximum fore exerted by the spring on the blockl.

Options

A. 10 N
B. 20 N
C. 25 N
D. 30 N

Answer

D

Explanation

`T=2pisqrt((m)/(k))`
`(pi)/(s)=2pisqrt((2)/(k))`
`K=100xx2`
`=200N//m `
`K=Mg//x`
`200=(2xx10)//x`
`x=0.1m`
`F_("max")=K(x+y)`
`=200(0.1+0.05)`
`=200(0.15)`
`=30N`