The length of spring is alpha when force of 4 N is applied on it. The length is beta when force of 5 N is applied then the length of spring when 9 N force is applied is ?
To find the length of the spring when a 9 N force is applied, we need to first understand the relationship between the force applied and the resulting length of the spring.
According to the information provided, the length of the spring is α when a force of 4 N is applied and β when a force of 5 N is applied. We can assume that the relationship between the force and length of the spring is linear.
Let's create a proportion to solve for the length of the spring when a force of 9 N is applied:
(5 N - 4 N) / (β - α) = (9 N - 4 N) / (x - α)
Here, x represents the length of the spring when a 9 N force is applied.
Simplifying the proportion, we have:
1 N / (β - α) = 5 N / (x - α)
Cross-multiplying:
1 N * (x - α) = 5 N * (β - α)
x - α = 5β - 5α
x = 5β - 5α + α
x = 5β - 4α
Therefore, the length of the spring when a 9 N force is applied is 5β - 4α.