Question

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

Answer 1

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