$1.$A magnet of mass $6\mathrm{.}08$ kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F $=$ Please answer question $1$ and $2$ with the picture provided.

a$\mathrm{.}45\mathrm{.}0$ degrees

b$\mathrm{.}36\mathrm{.}3$ degrees

c$\mathrm{.}44\mathrm{.}2$ degrees

d$\mathrm{.}45\mathrm{.}8$ degrees $2.$ Consider the same situation as in the previous problem. This time the magnet has mass $7\mathrm{.}74$ kg and the force pulling the magnet to the right has magnitude $65\mathrm{.}7$ N$.$ What is the magnitude of the tension force in the cord? Please and question $1$ and $2$ with the picture provided below.

a$\mathrm{.}172\mathrm{.}1$ N

b$\mathrm{.}100\mathrm{.}4$ N

c$\mathrm{.}141\mathrm{.}6$ N

d$\mathrm{.}145\mathrm{.}2$ N