How Fast Does a Block Slide Down a Ramp with Friction?

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To determine the speed of a block sliding down a 1-meter ramp at a 30-degree angle with a coefficient of kinetic friction of 0.4, the normal force must be calculated first. The normal force is influenced by the gravitational force and the mass of the block. The kinetic friction force is derived from the coefficient of friction multiplied by the normal force. A formula provided by the professor for acceleration is a = g[sin(θ) - μk*cos(θ)], emphasizing the importance of understanding the derivation of formulas rather than rote memorization. This approach highlights the fundamental principles of physics in solving problems involving friction and motion.
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Homework Statement


Block slides down a 1 meter ramp at a 30 degree angle. The coefficient of kinetic friction is 0.4
what is the block's speed at the bottom of the ramp?


Homework Equations



kineticFriction force = coefficient of friction X normal Force

normal Force = force of gravity + mass*acceleration

The Attempt at a Solution



I've tried the problem but i get stuck of finding the normal force required to find the kinetic friction force. Can someone guide me a little bit please... thank you in advanced
 
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The normal force and the component of the weight of the block need to cancel each other out.
 
solved! the professor gave us a formula but I copied it wrong... just for reference the formula which gave acceleration was a = g[sinO - UkcosO]
 
Physics not about memorizing formulas, it is about deriving them from first principles, so can you?
 
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