Find speed of rollercoaster on point on loop

In summary, the conversation discusses the application of Conservation of Energy in determining the speed of a rollercoaster at a specific point on a frictionless track. The equation for Conservation of Energy is proposed and it is confirmed that it will work, even at a loop. The concept of mechanical energy conservation is also mentioned.
  • #1
aeromat
114
0

Homework Statement


1000kg rollercoaster starts from point A on a frictionless track with the profile shown below.


c) Determine the rollercoaster's speed at point B? <-- the point on the loop itself


Will it work if I apply Conservation of Energy, being:

from A, Ek is 0 (Starting point).

0 + (m)(g)(hA) = 1/2(m)(vB)^2 + (m)(g)(hB)?

Will this equation work, even though it is at a loop? See attachment for the picture.
 

Attachments

  • PhysicsRollerCoasterProblem.png
    PhysicsRollerCoasterProblem.png
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  • #2
aeromat said:
Will this equation work, even though it is at a loop?
Sure.
 
  • #3
But how does that make sense though?
 
  • #4
aeromat said:
But how does that make sense though?
With no friction, mechanical energy is conserved. What are you thinking that doesn't seem to make sense?
 
  • #5
and you can take zero potential at level of A so that mghA = 0
 

1. How is the speed of a rollercoaster on a point on a loop determined?

The speed of a rollercoaster on a point on a loop is determined by several factors, including the height of the loop, the mass of the rollercoaster, and the force of gravity. The speed can be calculated using physics equations such as the conservation of energy and the centripetal force equation.

2. What is the maximum speed a rollercoaster can reach on a loop?

The maximum speed a rollercoaster can reach on a loop depends on the height and shape of the loop, as well as the initial speed of the rollercoaster. However, in theory, a rollercoaster can reach infinite speed if there is no friction or external forces acting on it.

3. How does the speed of a rollercoaster on a loop affect the rider experience?

The speed of a rollercoaster on a loop can greatly affect the rider experience. A higher speed can create a more thrilling and intense experience, while a lower speed may feel more gentle and relaxing. Additionally, the speed can also impact the forces experienced by the riders, such as g-forces and acceleration.

4. Are there any safety concerns related to the speed of a rollercoaster on a loop?

Yes, the speed of a rollercoaster on a loop is a major factor in ensuring the safety of riders. If the speed is too high, it can put excessive stress on the track and cause potential accidents. Therefore, rollercoasters must undergo thorough testing and meet safety regulations to ensure that they can safely reach the desired speed on a loop.

5. Can the speed of a rollercoaster on a loop be controlled?

Yes, the speed of a rollercoaster on a loop can be controlled through various mechanisms such as brakes, motors, and gravity. These mechanisms can be used to slow down or speed up the rollercoaster to maintain a safe and enjoyable ride experience.

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