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Chapter 8: Q.20 (page 199)
A roller coaster car crosses the top of a circular loop-the-loop at twice the critical speed. What is the ratio of the normal force to the gravitational force?
The ratio of the normal force to the gravitational force is .
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Space scientists have a large test chamber from which all the air can be evacuated and in which they can create a horizontal uniform electric field. The electric field exerts a constant horizontal force on a charged object. A charged projectile is launched with a speed of at an angle above the horizontal. It lands in front of the launcher. What is the magnitude of the electric force on the projectile?
You鈥檝e taken your neighbor鈥檚 young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to revolve in a circle. You鈥檝e just finished taking physics, so you decide to figure out the speed of the cars while you wait. You estimate that the disk is in diameter and the chains are long. The ride takes to reach full speed, then the cars swing out until the chains are from vertical. What is the cars鈥� speed?
A new car is tested on a -diameter track. If the car speeds up at a steady , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
If a vertical cylinder of water (or any other liquid) rotates about its axis, as shown in FIGURE CP8.71, the surface forms a smooth curve. Assuming that the water rotates as a unit (i.e., all the water rotates with the same angular velocity), show that the shape of the surface is a parabola described by the equation
Hint: Each particle of water on the surface is subject to only two forces: gravity and the normal force due to the water underneath it. The normal force, as always, acts perpendicular to the surface.
A coin is placed from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of and The turntable very slowly speeds up to Does the coin slide off?
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