Rollercoaster velocity question, only given: radius of loop.by MelissaJL Tags: loop, radius, rollercoaster, velocity 

#1
Nov1511, 09:06 PM

P: 36

1. The problem statement, all variables and given/known data
The rollercoaster moves freely without negligible friction. The radius of the loop is 20m and the car barely makes it through the loop. Find the speed at position 3. Find the speed at position 1 and 2. Find the difference in height between position 1 and 4 if the speed at position 4 is 10m/s. The only part I've been able to solve so far is position 3 which I used the formula: v=√gR=√196=14m/s I'm not sure what direction to take for position one and two and was wondering if I could get help with those two parts. Thank you so much :) 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 



#2
Nov1611, 03:02 AM

P: 939

For position 1 and 2 you can try using conservation of energy. 



#3
Nov1611, 08:20 AM

P: 36

Oh yes. That is a typo, it moves with negligible friction. I understand that this is a conservation of energy but I am lost on how to use the formula without knowing the mass or height to then solve for velocity.




#4
Nov1611, 10:45 AM

P: 939

Rollercoaster velocity question, only given: radius of loop.
re speed at position 1:
Energy at 3 = energy at 1 What kind of energy at 3? What kind of energy at 1? Note that the height at 3 = 2 x radius and you do not need the mass because it eliminates itself. 



#5
Nov1611, 12:00 PM

P: 36

Thanks I figured it out. The values are for point 1 the velocity is 31.3 m/s. For point 2 the velocity is 24.2m/s. Lastly, the height differences between 1 and 4 is 44.9m. That was great help. :)



Register to reply 
Related Discussions  
[SOLVED] Riding a Loop the Loop (velocity at the bottom of the loop)  Introductory Physics Homework  13  
Faling to loop the loop in a rollercoaster. How does this happen?  Introductory Physics Homework  3  
Find speed of rollercoaster on point on loop  Introductory Physics Homework  4  
Loop in a Rollercoaster  Introductory Physics Homework  4  
maxim velocity at the top of the loop (rollercoaster pb)  Introductory Physics Homework  4 