A machine pulls a $52$ kg trunk $2\mathrm{.}1$ m up a $30$ ramp at constant velocity, with the machine's force on the trunk directed parallel to the ramp. The coefficient of kinetic friction between the trunk and the ramp is $0\mathrm{.}28.$ What are $($a$)$ the work done on the trunk by the machine's force and $($b$)$ the increase in thermal energy of the trunk and the ramp?

$($a$)$ Number $$ Units

$($b$)$ Number $$ Units