- #1

jpsmith394

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## Homework Statement

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.

## Homework Equations

[itex]F=ma[/itex]

## 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 [itex]F_{x}=Fcos\theta[/itex]

Therefore:

[itex]ƩF_{x}=Fcos\theta = ma_{x}[/itex]

So:

[itex]a_{x}=\frac{Fcos\theta}{m}[/itex]

And using the given numbers I got a solution of 3.46[itex]\frac{m}{s^2}[/itex]

But the online system I am using shows the correct answer as 7.5[itex]\frac{m}{s^2}[/itex]

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