The limiting frictional force is the force that slows down the tennis ball on the roller coaster.
Newton's second law (Force equals mass times acceleration, F = ma) deals with acceleration so it "takes effect" every time that the roller coaster speeds up, slows down or turns (horizontally or vertically).Basically Newton's second law just says that the acceleration of an object is directly proportional to the net force applied to the object and inversely proportional to the mass of the object. Or, in other words, the harder you push the faster it speeds up and the bigger it is the slower it speeds up (or slows down - deceleration is an acceleration).This means that in your roller coaster example, the object is the roller coaster and the force can be: The motors that start the coaster and lift it up hills. The brakes that slow it down. Gravity which pulls it down the hills. The rails and wheels which cause the roller coaster to turn around bends, etc. At each of these points, Newton's second law is at play, determining how much acceleration will result from the force applied to the roller coaster's mass.
Friction, slows the roller coaster down to a slow enough pace that it eventually stops.
Thermal energy is heat. Heat is associated with motion (like a roller coaster) because of friction. Friction slows down the speed of an object and changes some of its kinetic energy into heat.
Brakes are used to slow down roller coasters. The brakes simply contract together against part of the car and friction brings them to a halt. Another type of roller coaster brake are magnets. The magnets have a force between them that slows the car down.
Mechanical energy on a roller coaster is found in the form of a combination of potential energy (due to height) and kinetic energy (due to motion). As the roller coaster car goes up a hill, potential energy increases, which then converts to kinetic energy as the car descends and gains speed. At any point on the roller coaster, the total mechanical energy remains constant, but it can change between potential and kinetic forms.
Centripetal force might work. When a roller-coaster train goes around a loop, centripetal force keeps it from falling down, and propels it outward. Well, that and some extra wheels, but you know what I mean. In the last few sections, we looked at the forces and machinery that send roller c­oasters rocketing around elaborate courses. As you move over the hills, valleys and loops of the track, the forces on you seem to change constantly, pulling you in all directions. But why is this rollicking movement so enjoyable (or, for some people, so nauseating)? ­To understand the sensations you feel in a roller coaster, let's look at the basic forces at work on your body. Wherever you are on Earth, gravity is pulling you down toward the ground. But the force you actually notice isn't this downward pull -- it's the upward pressure of the ground underneath you. The ground stops your descent to the center of the planet. It pushes up on your feet, which push up on the bones in your legs, which push up on your rib cage and so on. This is the feeling of weight. At every point on a roller-coaster ride, gravity is pulling you straight down. The other force acting on you is acceleration. When you are riding in a coaster car that is traveling at a constant speed, you only feel the downward force of gravity. But as the car speeds up or slows down, you feel pressed against your seat or the restraining bar. You feel this force because your inertia is separate from that of the coaster car. When you ride a roller coaster, all of the forces we've discussed are acting on your body in different ways. Newton's first law of motion states that an object in motion tends to stay in motion. That is, your body will keep going at the same speed in the same direction unless some other force acts on you to change that speed or direction. When the coaster speeds up, the seat in the cart pushes you forward, accelerating your motion. When the cart slows down, your body naturally wants to keep going at its original speed. The harness in front of you accelerates your body backward, slowing you down.
The force that slows things down when moving through water is called drag force. It is caused by the resistance of water to the motion of an object, resulting in a decrease in speed. The magnitude of drag force depends on the shape and speed of the object moving through water.
provides a force downwards on slopes. this causes acceleration in the downwards direction, and decelleration in the upwards direction, which is then translated into lateral motion as the track curves. As friction slows the cart, conservation of energy E=mgh prevents the cart from reaching its original height without additional boosters/chains. To simplify: gravity provides the accelerateing force to cause the cart to coast.
The brakes are basically 2 pieces of steel and then they close together to a certain thickness. There is also a fin on the bottom of the car which, when it tries to pass through that thin brake, it slows down or even stops the car.
Air resistance.
friction
they hug the rails HELP ive got a HUGE science taske about rollercoasters and its really hard!