nd 4. A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal acceleration does she experience to stay on if she is 1.25 m from its center? a = 5. The driver of a 1000-kg car tries to turn through a circle of radius 100 m on an unbanked curve at a speed of 16.0 m/s. The kinetic friction coefficient between the tires and slippery road is u = 0.25. First calculate (a) the magnitude of friction and (b) centripetal force required to make the circular turn. (c) C the driver make the circular turn without slipping?

A car drives around two circular curves on two different roads. The two curves have the same radius of curvature. And coincidentally, the maximum speed that the car can drive through either of the turns is the same for both roads. The first road is frictionless, but it is banked at 14.5 degrees from the horizontal. The other turn is flat. What is the coefficient of friction between the car tires and the road on the unbanked turn?

A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.700. What is the maximum safe speed that a car can travel around the curve without skidding?

A car drives around a curve with radius 400 m at a speed of 32 m/s. The road is banked at 7.0 degree. The mass of the car is 1500 kg. What is the magnitude of the centripetal force in order to make this turn?   I am given an answer of 3800N, but not quite sure how to get there. Thanks!

A 2000 kg car going at a steady speed of 18.0 m/s takes a curve with a 50.0 m radius. The road is level. 1. Draw an FBD. 2. Find the centripetal force of the car. 3. Find the frictional force of the car. 4. Find the weight of the car. 5. What is the minimum value that the coefficient of static friction between the tires and the road must have so that the car takes this curve without slipping?

A jet pilot flies his aircraft in a vertical loop at a speed of 1200 km/h.   Part A What is the minimum radius of the circle (in meters) such that the pilot experiences no more than 6.0 g of centripetal acceleration when at the bottom of the loop? Part B The pilot has a mass of 78 kg. What is his effective weight at the bottom of the loop? Part C The pilot has a mass of 78 kg. What is his effective weight at the top of the loop? (Assume the same speed.)

The passengers in a roller coaster feel 42 % heavier than their true weight as the car goes through a loop with a 30 m radius of curvature.  What is the car's speed at the bottom of the loop?  Use g = 10 N/kg.  Hint:  How heavy some one feels is another name for normal force.  The problem therefore tells you the normal force.  If you know weight and normal force, you can determine centripetal acceleration.  You can substitute a value for mass if you wish.

NASA uses a machine often called the "vomit comet" to mimic the effects of low gravity in space during astronaut training. The machine moves in circular arcs at a speed of v = 214 m/s. What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.

A ball is on the end of a string. The ball is being swung in a vertical circle at a constant speed.The length of the string is 1.30 m. The mass of the ball is 2.10 kg. The maximum tension the string can withstand before breaking is 54.0 N.What is the maximum speed of the ball without the string breaking when the ball is at the top of the circle (Point A in the figure)?