A crate is sliding down a $30^{\circ}$ incline, picking up speed as it slides. Ignore air friction.
-(a) Which of the forces listed below that acts on the crate has the greatest magnitude?
A) $\left|\vec{F}_{N}\right|$
B) $\left|\vec{F}_{g}\right|$
C) Both $\left|\vec{F}_{N}\right|$ and $\left|\vec{F}_{g}\right|$ (which are equal)
D) $\left|\vec{F}_{S F}\right|$
E) $\left|\vec{F}_{K F}\right|$

Question

Quizplus · Accepted Answer

The force of gravity ($\left|\vec{F}_{g}\right|$) has the greatest magnitude among the options. This is because it acts on the entire mass of the crate with acceleration due to gravity ($9.8 m/s^2$), making it the primary force causing the crate to slide down the incline. The normal force ($\left|\vec{F}_{N}\right|$) and the frictional forces ($\left|\vec{F}_{S F}\right|$ and $\left|\vec{F}_{K F}\right|$) are dependent on the gravitational force but do not exceed it in magnitude.

A Crate Is Sliding Down A 30∘30^{\circ}30∘ Incline, Picking Up Speed as It Slides

A Crate Is Sliding Down A $30^{\circ}$ Incline, Picking Up Speed as It Slides