The force required to compress a non-standard spring varies as the spring is com
ID: 2031467 • Letter: T
Question
The force required to compress a non-standard spring varies as the spring is compressed, as shown by the plot of force vs displacement in the figure. The distances in the figure are x1 = 15 cm, x2 = 35 cm, x3 = 55 cm, and x4 = 85 cm, and the forces are F1 = 110 N and F2 = -65 N. 25% Part (a) Write an equation, in terms of the variables in the problem statement, for the amount of work required to compress the spring from the origin to x4.25% Part (b) Calculate the work done, in joules, on the spring as it is compressed from the origin to point x4.
25% Part (c) Write an equation, in terms of the variables in the problem statement, for the amount of work required to compress the spring from x1 to x3. 25% Part (d) Calculate the work done, in joules, on the spring it is compressed from the point x1 to the point x3. 0 Otheexpertta.com
Explanation / Answer
Given :-
x1 = 15 cm,
x2 = 35 cm,
x3 = 55 cm,
x4 = 85 cm
F1 = 110 N,
F2 = -65 N
a)
W = [1/2*F1*x2] + [1/2*F2*(x4 - x2)]
b)
Work done to compress spring from origin to x4
W = [1/2 x 110 x 0.35] - [1/2 x 65 x (0.85 - 0.35)]
W = 19.25 - 16.25
W = 3 J
c)
Work done to compress spring from x1 to x3
W = [1/2*F1*(x2 - x1)] - [1/2*F2*(x3 - x2)]
d)
W = [1/2 x 110 x (0.35 - 0.15)] - [1/2 x 65 x (0.55 - 0.35)]
W = 11 - 6.5
W = 4.5 J
W = 14.25 J
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.