Question

An oscillating mass spring system has a mechanical energy 1 joule, when it has an amplitude 0.1m and maximum speed of 1$m{s}^{-1}$. Then the force constant of the spring is

• A. $100N.m^{-1}$
• B. $200N.m^{-1}$
• C. $500N.m^{-1}$
• D. $50N.m^{-1}$

Answer 1

The correct option is B $200N.m^{-1}$

$\frac{1}{2}k{A}^2=T\frac{1}{2}k(0.1{)}^2=1\Rightarrow k=200N.m^{-1}$