Question

If a child pulls a sled through the snow on a level path with a force of 80 N exerted at an angle of 44° above the horizontal, find the horizontal and vertical components of the force. (Give your answers correct to one decimal place.)

Answer 1

Horizontal component of force =
`57.5N`

Vertical component of force=
`55.6N`

Step-by-step explanation:

We are given that

Force=80 N

`\theta=44^(\circ)`

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

We know that

Horizontal component of force=
`Fcos\theta`

Vertical component of force=
`Fsin\theta`

Using the formula

Horizontal component of force =
`80cos44^(\circ)`

Horizontal component of force =
`57.5N`

Vertical component of force=
`80sin44^(\circ)`

Vertical component of force=
`55.6N`