$(008102)\{$Work$\}$

Consider the following four cases of a person applying force to an object:

$(1)$ a force of $5$ N directed parallel to the floor is pulling a box over a distance of $1$ m $.$

$(2)$ a force of $5$ N directed at an angle of $30$ with respect to the floor is pulling a box over a distance of $1$ m $.$

$(3)$ a force of $10$ N directed at an angle of $3,0$ with respect to the floor is pulling a box over a distance of $1$ m $.$

$(4)$ force of $10$ N directed at an angle of $60$ with respect to the floor is pulling a box over a distance of $1$ m $.$

Rank the amount of work done by the person in each case, in order from greatest to least.

Select the correct answer

$(3)>(4)>(1)=(2)$

$(3)>(1)>(4)>$

Your

$(2)$

$(1)>(2)>(3)>(4)$

$(3)>(4)>(1)>(2)$

$(1)>(3)>(2)>(4)$

$(3)>(4)=(1)>(2)$