According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 0.6 J of work is needed to stretch a spring from 6 cm to 8 cm and another 1 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k, in N/m. k = N/m What is the natural length of the spring, in cm? cm
According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x) = kx, where k is the spring constant. Suppose that 0.6 J of work is needed to stretch a spring from 6 cm to 8 cm and another 1 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k, in N/m. k = N/m What is the natural length of the spring, in cm? cm
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
Related questions
Question
100%
please solve and explain with steps
Transcribed Image Text:According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural length is given by f(x)
= kx, where k is the spring constant.
Suppose that 0.6 J of work is needed to stretch a spring from 6 cm to 8 cm and another 1 J is needed to stretch it from 8 cm to 10 cm. Find the exact value of k,
in N/m.
k =
N/m
What is the natural length of the spring, in cm?
cm
Expert Solution
Step 1
1st we will make equation of k and natural length by finding work done using integration and then solve it
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you