A $64$ N force, directed at an angle $$ above the horizontal, is applied to a $16\mathrm{.}0$ kg chair sitting on the floor. $($a$)$ For each of the following angles $,$ calculate the magnitude of the normal force of the floor on the chair and the horizontal component of the applied force. $($i$)0157$ Correct: Your answer is correct. N $($normal force$)64$ Correct: Your answer is correct. N $($Fx$)($ii$)30135\mathrm{.}8$ Incorrect: Your answer is incorrect. N $($normal force$)$ N $($Fx$)($iii$)60$ N $($normal force$)$ N $($Fx$)($b$)$ Assume that the coefficient of static friction between the chair and the floor is $0\mathrm{.}420.$ Does the chair slide for part $($i$)?$ Yes No Does the chair slide for part $($ii$)?$ Yes No Does the chair slide for part $($iii$)?$ Yes No