A mass m$=2\mathrm{.}5$kgm$=2\mathrm{.}5$kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A$=1\mathrm{.}5$cmA$=1\mathrm{.}5$cm and a frequency f$=1\mathrm{.}75$Hzf$=1\mathrm{.}75$Hz$.$

soumya.vadlamudi@uconn.edu$8$C$84-$B$7-75-4$F$-$B$737-26018$

$$ Part $($a$)$

Write an equation for the spring constant kk in terms of the variables in the problem statement $($that is to say, only use the variables and do not concern yourself with the assigned values$).$

kk $=$

$|$

$$

bdfghijmnPt

$()789$HOME$^^456/*123+-0.$END$()$BACKSPACEDELCLEAR

Grade$$Summary

Deductions$0\%$Potential$100\%$

Submissions

Attempt$($s$)$Remaining:$50$

$0\%$ Deduction per Attemptdetailed$$view

soumya.vadlamudi@uconn.edu

$8$C$84-$B$7-75-4$F$-$B$737-26018$

$50$ Submission$($s$)$ Remaining

Hints: $0\%$ deduction per hint. Hints remaining: $3$Feedback: $0\%$ deduction per feedback.

$$ Part $($b$)$

Calculate the spring constant kk$,$ in newtons per meter.

$$ Part $($c$)$

Write an equation for the total mechanical energy, EE$,$ of the motion in terms of the variables in the problem statement $($that is to say, only use the variables and do not concern yourself with the assigned values$).$

$$ Part $($d$)$

Calculate the total mechanical energy EE$,$ in joules.

$$ Part $($e$)$

If the amplitude is doubled, what happens to the total mechanical energy? Choose the best answer