An 8.0newton block is accelerating down a frictionless ramo inclined at 15 degrees to the horizontal. What is the magnitude of the net force causing the blocks acceleration?

1. 0N

2. 2.1N

3. 7.7N

4. 8.0N

Given that:

Force (F) = 8 N,

inclination of ramp (θ) = 15°

determine magnitude of net force (Fnet) = ?

Fx = 8 cosθ

= 8 * cos 15

= 7.72 N,

Fy = F sinθ

= 8 * sin 15

= 2.07 N,

Net force (Fnet) = sq. root [ (Fx) ² + (Fy) ²]

= sq. root [ (7.72) ² + (2.07) ²]

= 8 N.

Magnitude of net force is 8 N