Question

A man pulls his dog (m=20kg) on a sled with a force of 100N at a 60° angle from the horizontal. What is the horizontal component of the force?

A) 100N

B) 196N

C) 50N

D) 86N

show your work please

Answer 1

the horizontal component of the force is 50 N

Step-by-step explanation:

Given;

force applied by the man, F = 100 N

angle of inclination of the force, θ = 60⁰

mass of the dog, m = 20 kg

The horizontal component of the force is calculated as;

`F_x = F* cos(\theta)\\\\F_x = 100 \ N * cos(60^0)\\\\F_x = 100\ N * 0.5\\\\F_x = 50 \ N`

Therefore, the horizontal component of the force is 50 N