a man is pulling on his dog with a force of 70.0 N directed at an angle of +30.0° to the horizontal. Find a the x and y components of this force

See Answers (2)

Accepted Answer

Answerx-component = 35.0 Ny-component = 60.62 NExplanationThe x-component (Fx) of 70.0 N can be found using the trigonometric ratio sine.sin = opposite/hypotenusesin30 = [tex]\frac{Fx}{70}[/tex]Fx = 70 × sin30      = 35 NThe y-component (Fy) of 70.0 N can be found using the trigonometric ratio cosine.cos30 = [tex]\frac{Fy}{70}[/tex]Fy = 70 × cos30       = 60.62 N

Suggested Answer

for the horizontal (x) component: use Fx=F(cosФ)Fx= 70N (cos 30°) = 60.6 Nfor the vertical (y) component: use Fy=F(sinФ)Fx= 70N (sin 30°) = 35.5 N

Related Question in Physics