A filing cabinet with a weight of 596 N rests on the floor. The coefficient of s

Question

A filing cabinet with a weight of 596 N rests on the floor. The coefficient of static friction between it and the floor is 0.69, and the coefficient of kinetic friction is 0.41. In four different attempts to move it, it is pushed with the following horizontal forces of magnitudes. The cabinet is initially at rest for each attempt.

(a) 234 N
Calculate the magnitude of the frictional force on it from the floor.
N

(b) 272 N
Calculate the magnitude of the frictional force on it from the floor.
N

(c) 479 N
Calculate the magnitude of the frictional force on it from the floor.
N

(d) 555 N
Calculate the magnitude of the frictional force on it from the floor.
N
(e) In which of the attempts does the cabinet move? (Select all that apply.)
situation asituation bsituation csituation d

Explanation / Answer

(596 x 0.69) = static friction of 411.24 N. before movement occurs.
So forces (a) and (b) will not move it.
Each will incur a frictional force preventing movement equal to itself, = 222N. and 334N. respectively.
Forces (c) and (d) will move it, and accelerate it.
Forces (c) and (d) will both encounter friction of (596 x 0.41) = 244.36N. when the cabinet is moving

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