How Is Acceleration Calculated for a Block on a Frictionless Surface?

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To calculate the acceleration of a block on a frictionless surface, the force applied must be resolved into its x and y components. In this case, a 56.0 N force at an angle of 27.9 degrees results in an x component that determines the horizontal acceleration. The equation F=ma is used, focusing solely on the x direction since the y acceleration is zero. The correct method involves calculating the net force in the x direction to find the acceleration. The final acceleration of the block is derived from the horizontal force component divided by the mass of the block.
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Homework Statement

A block of mass 6.7 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of 56.0 N at an angle 27.9o above the horizontal. What is the magnitude of the acceleration of the block?

Homework Equations

f=ma



The Attempt at a Solution

i split my x and y coordinates and got x and y accelerations then used c^2=a^2+b^2 to find the magnitude of the acceleration and got 8.63m/s^2 but iam getting it wrong, please help thanks
 
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You only needed to find the x component of force and use F=ma to get the acceleration in the horizontal direction. The horizontal acceleration is the acceleration you're looking for.
 
Show how you wrote your net forces along x and y.
Is it possible to have acceleration along y?
 
oh ic now the acceleration in the y direction is zero. ok thanks!
 

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