Anna is on a wagon and Amy is pulling down and to the right with a force of $100$N at an angle of $25$ degrees below the horizontal. Anna and the wagon have a mass of $55$kg and they are moving at a constant speed. $$

$($a$)$ Draw the force diagram of Anna and the wagon, $$

$($b$)$ Create a table of force components for Anna and the wagon, $$

$($c$)$ Calculate the normal force on Anna and the wagon, $$

$($d$)$ Calculate the magnitude of friction force on Anna and the wagon,

 $($e$)$ Calculate the coefficient of friction.

 $($F$)$ Amy now pulls up with $100$N at an angle of $25$ degree instead $-$

$(1)$ calculate the normal force,

 $(2)$ Calculate the magnitude of friction on Anna and the wagon using the coefficient value you found earlier, $$

$(3)$ Calculate the acceleration of Anna and the wagon.