 Practice Problems Normal Forces Advanced

Directions: On this worksheet you will be asked to calculate the normal force depending on a variety of situations dealing with horizontal circular motion and vertical circular motion. omit
Question 1  What is the normal force on a 90-kg passenger who is riding in a roller coaster as it passes over the top of a 37-meter radius loop-the-loop while traveling at a speed of 20.0 m/sec?  omit
Question 2  If the roller coaster track instead passed along the inside of the loop-the-loop in Question #1, what normal force would they now feel?  omit
Question 3  A 2-kg box is held against the outer wall of a gravitron having a radius of 9 meters as shown in the image below. How fast must the gravitron be rotating, in revolutions per minute, if the normal force is to equal the box's weight? omit
Question 4  What is the normal force acting on a 96-kg motorcycle traveling at 33 m/sec through a 37º banked curve of radius 240  omit
Question 5  A parent releases her 24-kg child at an angle of 37º from the vertical. If the swing is 3 meters long, how large is the normal force exerted on the child by the swing's seat as she passes through the lowest point in her ride?  omit
Question 6