Question

A child pulls a sled through the snow on a level path with a force of 20 N exerted at an angle of pi/4 above the horizontal. Find the horizontal and vertical components of the force (expressed as vectors).

Answer 1

Answer:

$10\sqrt 2 iN$ and $10\sqrt 2 jN$

Step-by-step explanation:

We are given that

Force =F=20 N

$\theta=\frac{\pi}{4}$

We have to find the horizontal and vertical component of the force.

Horizontal component of the force =$F_x=Fcos\theta i$

Horizontal component of the force=$F_x=20cos\frac{\pi}{4}i=10\sqrt 2 iN$

Vertical component of the force,$F_y=Fsin\theta j$

Vertical component of the force,$F_y=20sin\frac{\pi}{4}j=10\sqrt 2 jN$

Force,$F=F_x+F_y$

$F=10\sqrt 2i N+10\sqrt 2j N$