Given data:
The mass of the first weight is
[tex]m_1=250\text{ g}[/tex]
second
[tex]m_2=100\text{ g}[/tex]
The mass of the third weight is
[tex]m_3=100\text{ g}[/tex]
The mass of the fourth weight is
[tex]m_4=50\text{ g}[/tex]
The force on the spring can be expressed as,
[tex]F=mg[/tex]
Here, g is the acceleration due to gravity which is considered as a constant value.
The force on the spring depends on the mass of each weight. Higher is the weight then more will be the force on each spring.
,
The mass relation for each weight can be given as:
The relationship between the forces acts on the spring can be given as,
[tex]F1>F_2=F_3>F_4[/tex]
Here, suffixes (1,2,3, and 4) numbers related to the first, second, third, and fourth weights.Thus, the relationship of the force on the spring is
[tex]F_1>F_2=F_3>F_4[/tex]
[tex]\begin{gathered} F=kx \\ x=\frac{F}{k} \end{gathered}[/tex]
Here, x is the stretch of the spring and k is the spring constant.
The stretch of the spring depends on the force of the spring.
The stretch of the spring relationship for the given weights can be given as:
[tex]x_1>x_2=x_3>x_4[/tex]
Thus, the relationship of the stretch of the spring is
[tex]x_1>x_2=x_3>x_4[/tex]
