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.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x