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In this lesson, we will learn how to calculate the unknown forces acting on an object so that it remains still or moves at a constant velocity.

Q1:

Three forces act on a particle, which moves with constant velocity 𝑣 = ( 3 − 2 ) / i j m s . Two of the forces are F i j k 1 = ( 3 + 5 − 6 ) N and F i j k 2 = ( 4 − 7 + 2 ) N . Find the third force, F 3 .

Q2:

Two forces F i j 1 = 8 2 . 6 √ 3 ( − ) N and F i j 2 = 1 7 7 . 2 √ 3 ( − ) N act on an object. What force must be added to F 1 and F 2 to produce a net force of zero?

Q3:

Assume that east corresponds to positive displacement along the -axis and that north corresponds to positive displacement along the -axis.

Find the net force in component form.

At what angle north of east is the net force directed?

Find the direction of the net force.

If Roy and Brittany’s housemates, Russell and Rachel, disagree with the move and want to prevent its relocation, with what combined force should they push so that the couch does not move?

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