Question

Jack pulls a sled across a level field by exerting a force of 110 n at an angle of 30 with the ground. what are the parallel and perpendicular components, respectively, of this force with respect to the ground?

Answer 1

Step-by-step explanation:

It is given that,

Force exerted on the sled, F = 110 N

The angle force makes with the ground is 30 degrees.

There are two components of force i.e. the parallel and perpendicular components. They are termed as
`F_x\ and\ F_y`

Parallel component :

`F_x=F\ cos\theta`

`F_x=100\ cos(30)`

`F_x=86.6\ N`

Perpendicular component :

`F_y=F\ sin\theta`

`F_y=100\ sin(30)`

`F_y=50\ N`

So, the parallel and perpendicular components of this force with respect to the ground are 86.6 N and 50 N respectively. Hence, this is the required solution.