A force of 100n is applied on a string and extends it by 0.1cm calculat the elastic limit
To calculate the elastic limit, we need to find the stress and strain, then use Hooke's Law to find the elastic limit.
1. Calculate stress:
Stress = Force / Cross-sectional area
We don't have enough details about the cross-sectional area of the string, so we cannot calculate the stress.
2. Calculate strain:
Strain = Extension / Original length
We also don't have enough details about the original length of the string, so we cannot calculate the strain either.
Since we don't have enough details to calculate stress or strain, we cannot calculate the elastic limit of the string. Please provide information regarding the cross-sectional area and original length of the string to proceed with the calculation.
To calculate the elastic limit, we need to know the spring constant of the string. The spring constant, denoted by k, is a measure of how stiff the string is.
The formula to calculate the elastic limit is:
Elastic limit = (Applied force) / (Spring constant)
Given:
Applied force (F) = 100 N
Extension (x) = 0.1 cm = 0.001 m
To calculate the spring constant, we can use Hooke's law, which states that the force exerted by a spring is directly proportional to the extension or compression of the spring.
Hooke's law formula: F = kx
Rearranging the formula to solve for k:
k = F / x
Substituting the given values, we have:
k = 100 N / 0.001 m
k = 100,000 N/m
Now, we can calculate the elastic limit using the spring constant:
Elastic limit = 100 N / 100,000 N/m
Elastic limit = 0.001 m
Therefore, the elastic limit of the string is 0.001 m.