During an ice show, a $52\mathrm{.}5-$kg skater leaps into the air and is caught by an initially stationary $77\mathrm{.}5$ kg skater.

$$ Part $($a$)$

What is their final speed, in meters per second, assuming negligible friction and that the $52\mathrm{.}5$ kg skater$$s initial horizontal speed is $3\mathrm{.}95$ m$/$s$?$

v$\text{'}=$

$|$

sin$()$cos$()$tan$()$cotan$()$asin$()$acos$()$atan$()$acotan$()$ln$()$log$10()$exp$()$fact$()$

Degrees Radians

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

Grade$$Summary

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

Submissions

Attempt$($s$)$Remaining:$3$

$4\%$ Deduction per Attempt detailed$$view

$3$ Submission$($s$)$ Remaining

Hints: $4\%$ deduction per hint. Hints remaining: $1$Feedback: $5\%$ deduction per feedback.

$$ Part $($b$)$

How much kinetic energy is lost, in joules?