Question

How doeA bungee cord has a spring constant of 112 N/m. How far will it stretch if a 50.0 kg mass is hung from it?s the force constant depend upon the mass of the load

Answer 1

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Answer 2

Answer:

Explanation:

Disclaimer:

A bungee cord has a spring constant of $112 N/m$. How far will it stretch if a $50.0 kg$ mass is hung from it? the force constant depend upon the mass of the load .

Concept:

The concept of spring constant will help us to solve the question.

Given:

The bungee cord's spring constant is $112 N/m$ and It has a mass of $50.0 kg$ .

To Find:

We have to find out how far the bungee cord stretched.

Solution:

The spring constant can be expressed as $k$ . The  bungee cord's mass is $m$ .

The distance how far it stretched is $d$ .

Force on the bungee cord is caused by mass $m$.

So we can write the equation as $W = mg ........(1)$

Taking into account the spring force concept,

$W = kd ..............(2)$

From the above two equations, we will get

$mg = kd$

Then $d = \frac{mg}{k}$

Put the value in the above equation.

$\mathrm{d}=(50 \mathrm{~kg})\left(9.8 \mathrm{~m} / \mathrm{s}^{2}\right) /(112 \mathrm{~N} / \mathrm{m})= 4.375 m$

Therefore, the distance is $4.375 m$ .

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