Question

If a child pulls a sled through the snow on a level path with a force of 50 N exerted at an angle of 38 8 above the horizontal, find the horizontal and vertical components of the force

Answer 1

See below!

Step-by-step explanation:

Given data:

Force = F = 50 N

Angle = θ = 38.8°

Required:

Horizontal and vertical components of force = ?

Formula:

`F_x=Fcos \theta\\\\F_y=Fsin \theta`

Solution:

Horizontal component of force:

`F_x=(50)cos38.8\\\\F_x=(50)(0.77)\\\\F_x\approx 38.9`

Vertical component of force:

`F_y=(50)sin(38.8)\\\\F_y=(50)(0.62)\\\\F_y\approx 31.3\\\\\rule[225]{225}{2}`