A 5.0 kg block is placed on a frictionless inclined plane that makes a 30 angle with the horizontal.
a) Draw a free-body diagram for the block and label all forces.
b) Calculate the magnitude of the acceleration of the block down the incline.
c) If the coefficient of kinetic friction between the block and the plane is actually 0.20 (not frictionless), what would the new acceleration be?
d) Explain qualitatively what would happen to the acceleration if the angle of the incline was increased to 60 (assume frictionless again).
Show all steps, including component resolution of forces, and use g = 9.8 m/s. Provide the final answers with appropriate units and significant figures.
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