14. A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r = 9.00 m. A passenger feels the seat of the car pushing upward on her with a force equal to three times her weight as she goes through the dip. How fast is the roller coaster traveling at the bottom of the dip?
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- Suppose that a 1800 kg car passes over a bump in a roadway that follows the arc of a circle of radius 21.4 m as in the figure below. (a) What force does the road exert on the car as the car passes the highest point of the bump if the car travels at 31.0 km/h? (Neglect friction.) (b) What is the maximum speed the car can have without losing contact with the road as it passes this highest point? km/hA boy takes a 1.5-kg rock and ties it to the end of a 0.80-m-long, massless, uniform rope. He then swings the rock in a vertical circle. If the speed of the rock at the bottom of the swing is 5.0 m/s, what is the tension in the rope? QUESTION 8 a. 52 N Ob.72 N OC. 57 N d. 67 N e. 62 N2) Modern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the normal force will not get too small, keeping the passengers pressed firmly into their seats. What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the normal force on a passenger is equal to 3/4 of their weight? B minimum C maximum A
- q3A 500.0 g ball swings in a vertical circle at the end of a 1.50 m long string. When the ball is at the bottom of the circle, the tension in the string is 15.0 N. 1.50 m v= ? a) What is the speed of the ball at the lowest point? b) Assuming that the speed remains constant, what is the tension in the string at the highest point?The passengers in a roller coaster car feel 50% heavier than their true weight as the car goes through a dip with a 30 m radius of curvature. What is the cars speed at the bottom of the dip?
- A student of mass M = 98 kg takes a ride in a frictionless loop-the-loop at an amusement park. The radius of the loop-the-loop is R = 24 m. The normal force by the track on the student at the top of the loop-the-loop is N₁ = 944 N. Find the speed of M at the top of the loop-the-loop. m/s Determine the normal force on M by the track at the bottom of the loop-the-loop, assuming the speed at the bottom is the same as at the top. NA 2000 kg roller coaster car is traveling upside down at 18 m/s as passes the top of a 24 m radius loop. Determine the force that the roller coaster car exerts on the track of the loop at this point.A 48 kg merry-go-round worker stands on the ride’s platform 6 m from the center. If her speed as she goes around the circle is 5 m/s, what is the force necessary to keep her from falling off the platform?
- 2. A 50 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The Ferris Wheel has a radius of 8 m. The scale reads 600 N when the person is at the bottom of the motion. Find the person's speed. 3. A 0.2 kg ball, attached to a string, is moving in a vertical circle. The ball's speed is 7 m/s and the tension in the string is 8 N when the ball is at the top of its path. Find the radius of the motion.Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 22.0 m as in the figure below. If the car travels at 27.4 km/h what force does the road exert on the car as the car passes the highest point of the hump? What is the maximum speed the car can have without losing contact with the road as it passes this highest point?26. Snoopy, in hot pursuit of the Red Baron, is flying his vintage warplane in a “loop-the-loop" path. His instruments tell him that the plane is level (at the bottom of the loop) and travelling at a speed of 180 km/h. He is sitting on a set of bathroom scales. He notes that the scales show four times his normal weight. What is the radius of the loop, in metres?