Brainliest + points!

a force of 100 newtons will stretch a spring 0.25 meters. how far will a force of 80 newtons stretch it?

use hooke's law f = kx.

a.
0.04 meters

b.
0.2 meters

c.
0.4 meters

d.
2 meters

B. 0.2 meters.

Step-by-step explanation:

Let x represent meters of spring stretched by 80 newtons.

We have been given that a force of 100 newtons will stretch a spring 0.25 meters.

We will use Hooke's law, which states that the force needed to compress or extend a spring is directly proportional to the distance we stretch it., where,

N = Force in Newtons,

k = The spring constant,

x = Amount of extension in meters.

Let us find spring constant by substituting and .

So, our equation would be .

Now, we will substitute in our equation to find x.

Upon dividing both sides of our equation by 400 we will get,

Therefore, the force of 80 newtons will stretch the spring 0.2 meters and option B is the correct choice.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.