A Crate Sits on the Ground $\left|\vec{F}_{S F}\right|<\left|\vec{F}_{N}\right|$ B) $\left|\vec{F}_{S F}\right|=\left|\vec{F}_{N}\right|$ C) $\left|\vec{F}_{S F}\right|>\left|\vec{F}_{N}\right|$

A crate sits on the ground. You push as hard as you can on it, but you cannot move it. At any given time when you are pushing, what is the magnitude of the static friction force exerted on the crate by its contact interaction with the ground compared to the magnitude of your push (which is a normal force) ? (Hints: What is the crate's acceleration? Draw a free-body diagram.)

A) $\left|\vec{F}_{S F}\right|<\left|\vec{F}_{N}\right|$
B) $\left|\vec{F}_{S F}\right|=\left|\vec{F}_{N}\right|$
C) $\left|\vec{F}_{S F}\right|>\left|\vec{F}_{N}\right|$
D) $\left|\vec{F}_{S F}\right|=0$ !
E) We do not have enough information to answer.}