A crate of mass 100kg is at rest on a horizontal floor. The coefficient of static friction between the crate and the floor is 0.4, and the coefficient of kinetic friction is 0.3. A horizontal force, F, or magnitude 350N is applied to the crate. Which of the following is true?

Question

A. The crate accelerates horizontally at 0.5m/s^2
B. The crate slides across the floor at .5m/s
C. The crate does not move.

Please give the correct answer and an explanation why it is correct.

Answer 1

M*g = 100 * 9.8 = 980 N. = Wt. of crate = Normal force(Fn).

Fs = us*Fn = 0.4 * 980 = 392 N. = Force of static friction.

The crate does not move, because the applied force is less than the fore of static friction(Fs).