Question

A spring block system is executing SHM with angular frequency of 1 rad/sec and has an amplitude of 2m. Find the maximum kinetic energy of the system.Given mass of the block is 2 kg.

• A. 1J
• B. 4J
• C. 10J
• D. Data insufficient

Answer 1

The correct option is B 4J

$KE=\frac{1}{2}m(\omega \sqrt{A^2-x^2}{)}^2$
K.E. is max at x = 0 (mean position)
$\Rightarrow K{E}_{max}=\frac{1}{2}m\left({\omega }^2{A}^2\right)$
$=\frac{1}{2}2\left(2^2\right)$
$K{E}_{max}=4J.$