A spring 20cm long is stretched to 25cm by a load of 50N. What will be its length when stretched by 100N assuming that the elastic limit is not reached? I want the answer abd solving to this question and also the formula for young modulus of elasticity

To find the length of the spring when stretched by 100N, we can use Hooke's Law, which states that the force applied to a spring is directly proportional to the extension produced in the spring, as long as the elastic limit is not reached.

Hooke's Law can be expressed as:

F = k * x

Where:
F is the force applied to the spring (in Newton)
k is the spring constant (also known as the stiffness constant)
x is the extension or deformation produced in the spring (in meters)

To find the spring constant (k), we can use the given information when the spring is stretched by 50N:

F = 50N
x = 25cm - 20cm = 0.05m (converting cm to meters)

Using Hooke's Law, we can write:

50N = k * 0.05m

Rearranging the equation to solve for k:

k = 50N / 0.05m = 1000 N/m

Now that we know the spring constant (k), we can find the extension (x) when the spring is stretched by 100N. We'll rearrange Hooke's Law:

F = k * x

To solve for x:

x = F / k
x = 100N / 1000 N/m
x = 0.1m

Converting the extension back to centimeters, we get:

0.1m * 100 = 10cm

Therefore, the length of the spring when stretched by 100N will be 10cm.

The formula for Young's modulus of elasticity (E) is:

E = (F/A) / (ΔL/L)

Where:
E is the Young's modulus of elasticity (in Pascals)
F is the applied force (in Newton)
A is the cross-sectional area of the material (in square meters)
ΔL is the change in length of the material (in meters)
L is the original length of the material (in meters)

Young's modulus is a measure of the stiffness of a material. It represents the ratio of stress to strain in a material when it is stretched or compressed within its elastic limit.

stretched by twice the load? has to be twice as long, 50cm.

spring constant=young'sModulus*Area/Length

Y=k*length/area

I think bob meant twice the stretch. 30cm

1.25N

Physics