Problem $2.(10$ points$)$ The dancer above raises her right leg from Position A to Position B in $0\mathrm{.}2$ seconds. The dancer has a body mass of $50$ kg and is $170$ cm tall. The area of the toe shoe in contact with the ground is $1\mathrm{.}4$ cm$2$ and can be approximated as a square. The angle between the stance leg $($in contact with the ground$)$ and contralateral leg $($the leg in the air$)$ in Position A is $100$ and in Position B is $146.$ The segment lengths for the lower body are $41\mathrm{.}65$ cm for thigh, $41\mathrm{.}82$ cm for leg, and $25\mathrm{.}84$ cm for foot. You may assume the dancer$$s right arm in Position B is not in contact with the contralateral leg.