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Consider a block sliding down an inclined plane that makes an angle of 35? with the horizontal. Assume the coefficient of kinetic friction between the block and the incline is µk = 0.25.

(a) Draw a free-body diagram for the block.

(b) If the mass of the block is 2 kg, find the components of the gravitational force in the given coordinate system.

(c) Find the normal force and the force of kinetic friction.

(d) Find the magnitude of the acceleration of the block.

(e) What is the final speed of the block after sliding 0.75m?

(f) If the coefficient of static friction is µs = 0.4, what would the maximum value of the angle θ be for the block to not slide when it is released?

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