a. A 0.200kg ball starting from rest rolls down an inclined plane with θ=30°. Find the acceleration of the ball and the magnitude of the normal force exerted by the plane.
b. For the ball from part a, if it starts from rest at a height h = 30.0 cm above its position at the bottom of the incline (measured between the center of the ball at each position), what is the speed of the ball vf at that bottom point, and how long did it take to get there?
c. The ball is now set into motion from the bottom of the 30° incline with initial speed vi=2.00m/s. What is the maximum distance d that it travels up the incline before it reverses and travels back? What is its speed arriving back at the bottom, and the total time to go up and down?
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