Show me the steps to solve a 10 kg block slides down a frictionless plane oriented at 30-degrees with repspect to the horizontal. What is the magnitude of the acceleration of the block down the plane. What is the normal force between the block and the plane?
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A block is sliding down an incline of 60 degrees as shown in the figure below. The coefficient of friction, ÎĽ, of the surface of the incline plane is 0.3. The frictional force is Ffriction = ÎĽFn where Fn is the normal force. The weight of the block is W. Assume the acceleration due to gravity is 9.8 m/s^2. (a) Provide the expression for the component of the Weight force in the direction along the incline plane. (b) Provide the expression for the component of the Weight force in the direction perpendicular to the incline plane. (c) Provide the expression for the normal force in terms of W. (d) Provide the expression for Ffriction in terms of W. (e) Provide the equation for the sum of the forces in the direction along the incline plane (include appropriate signs). (f) Provide the equation for the sum of the forces in the direction perpendicular to the incline plane (include appropriate signs). (g) What is the value for acceleration of the block along the incline plane? (h) How far (in meters) will the block slide in 10 seconds if it is released from rest?
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