physics question

Question

Consider the accompanying plot of Force Applied by a Spring vs Displacement. Come up with an estimate for the spring constant k (hint: determine the slope). What is the work done by the spring on the attached object over the displacement shown?

Answer 1

Hello,

In this question the max Force is 120 N and Max extension is 5 m

Spring constant = Force/ Extension = 120/5 = 24 N/m

Work done is also Kinetic energy in this case = 1/2( KX² )

Where K = 24 N/m

Work done = 1/2 (24*5*5 )

= 12*25 = 300 J