If a horizontal component of force #F_x=25.0# #N# and a vertical component of force #F_y = 15.0# #N#, what is the resultant force?

1 Answer
Paul N.
May 24, 2016

#29.15 N#

Explanation:

Forces add like vectors. Since the angle between these two forces is 90º we can simply use the pythagorean theorem and think of them as two sides of a right triangle.

#F_("net") = sqrt(F_x^2 + F_y^2)#

#F_("net") = sqrt(25^2 + 15^2)#

#F_("net") = sqrt(625 + 225)#

#F_("net") = sqrt(850)#

#F_("net") = 29.15 N#

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