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A) Does the box start moving? if so, find its rate of acceleration. What is the

ID: 1431606 • Letter: A

Question

A) Does the box start moving? if so, find its rate of acceleration. What is the friction force vector (magnitude and direction)?

At a different time, the box is sliding to the north on the same surface. While it is still moving, you start pushing it toward the north with increasing force until reaching F = 84 N, then maintaining that force.

B) What is the friction force vector (magnitude and direction) after reaching 84 N? What is the box's rate of accleration?

Free-body diagrams would be so, so appreciated. Thanks! :-)

Explanation / Answer

here,

mass , m = 20 kg

us = 0.5

uk = 0.35

F = 84 N

a)

static friction force , ffs = us * m * g

ffs = 98 N

as the applied force is less than the magnitude of the static frictional force

then the block will not move

the rate of accelration is zero

the frictional force acting is equal to the applied force

frictional force is 84 N towards south

b)

the friction force vector is 84 N towards south

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