Ranking the Work on Each System: Which Case Has the Most Positive Work?

[haruspex]

So it is a fact that change in potential energy of a spring is half of the tension? That just helped me solve the next question

Energy cannot equal tension.
When a spring of modulus k is extended by x the final tension is T(x)=kx. The work done is ∫₀^xT(s).ds = ∫₀^xks.ds = ½kx²=½T(x)x.

 

[isukatphysics69]

I was able to figure this one out because i realize that work is change in kinetic energy so the kinetic energys will be 0, there are two cases that have stored potential energy the D case being negative stored potential and the C case being positive stored potential

 

[isukatphysics69]

Energy cannot equal tension.
When a spring of modulus k is extended by x the final tension is T(x)=kx. The work done is ∫₀^xT(s).ds = ∫₀^xks.ds = ½kx²=½T(x)x.

oh yes ok i see

 

[isukatphysics69]

Wait a second i see what you mean now on the last problem the question stated "maximum speed" meaning acceleration would be 0 that went over my head at the time

 

[isukatphysics69]

i am truly living up to my username good on me

 

[haruspex]

i am truly living up to my username good on me

I see signs of progress