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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 (yaxis) 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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