Question

A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s

Answer 1

Answer:

389 kg

Explanation:

The computation of mass is shown below:-

$T = 2\pi \sqrt{\frac{m}{k} }$

Where K indicates spring constant

m indicates mass

For the new time period

$T^' = 2\pi \sqrt{\frac{m'}{k} }$

Now, we will take 2 ratios of the time period

$\frac{T}{T'} = \sqrt{\frac{m}{m'} }$

$\frac{1.50}{2.00} = \sqrt{\frac{0.500}{m'} }$

$0.5625 = \sqrt{\frac{0.500}{m'} }$

$m' = \frac{0.500}{0.5625}$

= 0.889 kg

Since mass to be sum that is

= 0.889 - 0.500

0.389 kg

or

= 389 kg

Therefore for computing the mass we simply applied the above formula.