Block on an inclined plane, given mass and angle find acceleration

AI Thread Summary
To find the acceleration of a 42 kg block sliding down a 30-degree incline with negligible friction, the net forces acting on the block must be analyzed. The weight of the block is calculated as W = 42 kg × 9.8 m/s², resulting in 411.6 N. The components of this weight along the incline can be determined using trigonometric functions: the parallel component is W*sin(30) and the perpendicular component is W*cos(30). The net force acting on the block down the incline is equal to this parallel component, which can then be used with F=ma to find the acceleration. The final acceleration can be calculated by dividing the net force by the mass of the block.
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Homework Statement


A 42 kg block of ice slides down a plane with an angle of 30 degrees. Assuming friction is negligible, what is the acceleration of the block down the incline


Homework Equations


F=ma


The Attempt at a Solution



I have drawn the right free body diagram. I just don't understand where to go on from there. Do I need to find the FnetX and Fnet Y using the angle given? If so where do I go from there?
 
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I really need help. I know I need to find W which is W=(42kg)(9.8) which is 411.6. That gives me W on the free body diagram. Which now I can find the X and Y components using cos30(411.6) and sin30(411.6). I just do not know where to go on from here. I don't know what equation to use once I have W to find acceleration.
 
I would really love some help
 

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