Respuesta :

The magnitude of this horizontal force can be calculated as :

F=mg
 2x9.8=19.6N
19.6cos 30= 17 Newtons

Answer:

Horizontal force is 16.97 N.

Explanation:

It is given that,

Mass of the block, m = 2 kg

It is on an incline at a 60 degree angle is held in equilibrium by a horizontal force. We need to find the magnitude of horizontal force. The force acting on the block is its weight mg.

The horizontal component of force is, [tex]F_x=mg\ sin\theta[/tex]

The vertical component of force is, [tex]F_y=mg\ cos\theta[/tex]  

So, the horizontal component of force is,[tex]F_x=2\ kg\times 9.8\ m/s^2\ sin(60)[/tex]

[tex]F_x=16.97\ N[/tex]

So, the horizontal component of force is 16.97 N.