putongren said:OK ... not sure if this is right... When the car is at the top of the loop the loop, the force of gravity has to equal the centrifugal force. If you draw a free body diagram at the moment it reaches the top of loop the loop, the car will have an arrow pointing downwards representing gravity and an arrow pointing upwards representing centrifugal force. Now, what is the equation for the centrifugal force? If you know that, equate the equation of gravity and the centrifugal force and solve for r.
erice said:Homework Statement
A small car is given an initial velocity of 4 m/s (prior to reaching the loop), what is the largest value that the radius of a loop the loop can have so that the car remains in contact with the track at all times?
This one really has me stumped... please help
Loop-the-loop Conservation of energy is a principle in physics that states that energy cannot be created or destroyed, but can only be transformed from one form to another. In the case of a loop-the-loop, the potential energy of the object at the top of the loop is transformed into kinetic energy as it moves down the loop, and then back into potential energy as it reaches the top again.
Roller coasters use the principle of Loop-the-loop Conservation of energy to provide a thrilling and safe ride. The initial potential energy of the coaster at the highest point is converted into kinetic energy as it moves down the first hill. The coaster then uses this kinetic energy to complete the loop-the-loop and continue along the track, while maintaining a constant overall energy throughout the ride.
The main factors that affect the conservation of energy in a loop-the-loop are the initial height of the object, the mass of the object, and the forces acting on the object, such as gravity and friction. Additionally, the shape and steepness of the loop can also impact the conservation of energy and determine whether the object successfully completes the loop or not.
No, according to the principle of Loop-the-loop Conservation of energy, energy cannot be lost. However, some energy may be converted into other forms, such as heat or sound, due to external factors such as friction. This is why roller coasters have brakes to slow down and dissipate any excess energy.
Aside from roller coasters, some other real-life examples of Loop-the-loop Conservation of energy include swinging pendulums, bouncing balls, and swinging on a playground swing. In all of these situations, the energy of the object is constantly being transformed from potential to kinetic and back again, while maintaining a constant overall energy.