Question

If the 5-N force and the 12-N force form a 90 degree angle, what is the magnitude of the force acting in the direction of the dashed arrow

Answer 1

13N

Step-by-step explanation:

Kindly see attached file for your reference

Step one:

given data

the horizontal component of the force= 12N

the vertical component of the force= 5N

The dashed arrow represents the hypotenuse of the triangle, hence the resultant of the force system.

By implication of this, we will use the Pythagoras theorem to solve for the resultant force

Step two:

`F_R=√(F_H^2+F_V^2)\\\\F_R= √(12^2+5^2)\\\\F_R=√(144+25)\\\\F_R=√(169)\\\\F_R=13N`