Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of $20$ rubs, at a distance of $7\mathrm{.}50$ cm per rub, and with an average frictional force of $f_f,$ what is the temperature increase? The mass of tissues warmed is only $0\mathrm{.}100$ kg $,$ mostly in the palms and fingers.

$f_f=28N$

Assume the specific heat of the palm of one hand is equal to the specific heat of water.

$0\mathrm{.}223$degC

$0\mathrm{.}247$ deg C

$0\mathrm{.}201$ deg C

$0\mathrm{.}167$degC