Question

What is the relationship of the force on the spring and stretch of the spring? (I have a picture of a spring that weights can be added to) as seen

Answer 1

Given data:

The mass of the first weight is

`m_1=250\text{ g}`

second

`m_2=100\text{ g}`

The mass of the third weight is

`m_3=100\text{ g}`

The mass of the fourth weight is

`m_4=50\text{ g}`

The force on the spring can be expressed as,

`F=mg`

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,

`F1>F_2=F_3>F_4`

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

`F_1>F_2=F_3>F_4`

`\begin{gathered} F=kx \\ x=(F)/(k) \end{gathered}`

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:

`x_1>x_2=x_3>x_4`

Thus, the relationship of the stretch of the spring is

`x_1>x_2=x_3>x_4`