# Force Applied at an Angle to an Object on Frictionless Surface

1. Sep 28, 2013

### jpsmith394

1. The problem statement, all variables and given/known data
The horizontal surface on which the block slides is frictionless. If F = 20 N and M = 5.0 kg, what is the magnitude of the resulting acceleration of the block? The force is applied 30° to the horizontal.

2. Relevant equations
$F=ma$

3. The attempt at a solution
I began by ignoring the weight and normal force in the vertical axis (y-axis) because the surface is frictionless. Then my next step is to separate the force into compenets with $F_{x}=Fcos\theta$

Therefore:
$ƩF_{x}=Fcos\theta = ma_{x}$

So:
$a_{x}=\frac{Fcos\theta}{m}$

And using the given numbers I got a solution of 3.46$\frac{m}{s^2}$
But the online system I am using shows the correct answer as 7.5$\frac{m}{s^2}$

#### Attached Files:

• ###### Screen Shot 2013-09-28 at 6.19.51 PM.png
File size:
15.6 KB
Views:
84
Last edited: Sep 28, 2013
2. Sep 28, 2013

### tiny-tim

hi jpsmith394! welcome to pf!

erm … you forgot the other F, in front!

3. Sep 28, 2013

### jpsmith394

Oh gosh I see now, I was just stuck thinking it was just a single force :surprised

Thanks,
James