An oscillating mass spring system has mechanical energy `1` joule, when it has an amplitude `0.1m` and maximum speed of `1ms^(-1)`. The force constant of the spring is (in `Nm^(-1))`

Options

A. 100
B. 200
C. 300
D. 50

Answer

B

Explanation

At max elongation mechanical energy of the system consists of only spring potential energy since k = 0
`E = v = (1)/(2) kA^(2)`
`1 = (1)/(2) k (0.1)^(2)`
k = 200 N/m