A 50 kg crate is pulled across the ice by a rope that is angled at 30 degrees above the horizontal. If the tension in the rope i

Question

murzikaleks [220]

3 years ago

8

A 50 kg crate is pulled across the ice by a rope that is angled at 30 degrees above the horizontal. If the tension in the rope i

s 100 newtons, what is the magnitude of the "lifting" and "pulling" components of the force in the rope?

Physics

1 answer:

denpristay [2] · Answer 1 · 2022-03-27T07:21:47+03:00

denpristay [2]3 years ago

4 0

Let:
Vx = the pulling component of force
Vy = the lifting component of force

Vy:
Sin(n°) = Vy/hypotenuse
hypotenuse * Sin(n°) = Vy
100N*sin(30°) = Vy
50N = Vy

Vx:
Cos(n°) = Vx/hypotenuse
Hypotenuse * cos(n°) = Vx
100N*cos(30°) =Vx
about 86.6N = Vx