Answer:
Mass of the second block is 1.4 kg
Explanation:
When a weight (mg) is displaced from its equilibrium position in a spring mass system, a restoring force (kx) will act on the weight.
so, mg = -kx
where, k is a constant
Mass of block ([tex]m_1[/tex]) = 0.70 kg
For one spring mass system,
[tex]m_1g=-kx_1[/tex]
For the two spring mass system,
[tex]m_2g+m_2g=-kx_2[/tex]
divide equation 2 by 1
[tex]\frac{m_1g+m_2g}{m_1g} =\frac{-Kx_2}{-kx_1}[/tex]
[tex]1+\frac{m_2}{m_1} =\frac{x_2}{x_1}[/tex]
on further rearranging,
[tex]m_2=m_1(\frac{x_2}{x_1} -1)\\=(0.70\ kg)\times (3.0 - 1)\\=1.4\ kg[/tex]
So, mass of the second block is 1.4 kg.