Answer
(a) $0.707s$
(b) $0.707s$
Work Step by Step
(a) We can find the time period of block 1 as follows:
$T=2\pi \sqrt{\frac{m}{2K}}$
We plug in the known values to obtain:
$T=2\pi \sqrt{\frac{1.25Kg}{2(49.2)N/m}}$
$T=0.707s$
(b) We can find the time period of block 2 as follows:
$T=2\pi \sqrt{\frac{m}{2K}}$
We plug in the known values to obtain:
$T=2\pi \sqrt{\frac{1.25Kg}{2(49.2N/m)}}$
$T=0.707s$
