A man pulls a wagon with a handle that is at an angle of 42° with the ground. If the man pulls with 330 N of force, how much force pulls the wagon forward?

245 N

220 N

330 N

110 N

Respuesta :

Answer:

245N

Explanation:

We just need to multiply the force the man pulls the wagon by the cosine of the angle with the ground.

F = 330N * cos(42°) = 245.2N

Answer :

The wagon is pulled by a force of 245.2377 N ~ 245 N, when the man pulls with 330 N of force at an angle of 42° with the ground.

Explanation :

The horse pulls the wagon at an angle of 42°. The angle is made along the horizontal parallel to ground surface.

On resolving the force (the pull) into its components, we get

[tex]F_x[/tex] = Horizontal force = 330 [tex]\times \cos 42^{\circ}[/tex]= 245.2377 N

[tex]F_y[/tex] = Vertical force = 330 [tex]\times \sin 42^{\circ}[/tex]= 220.813 N

For the Wagon to get pulled, we require [tex]F_x[/tex] (Horizontal force)

Therefore,

Force = [tex]F_x[/tex] = 245.2377 ~ 245 N