Calculating Speed and Time on a Frictionless Roller Coaster

  • Thread starter Thread starter Clari
  • Start date Start date
AI Thread Summary
The discussion focuses on calculating the speed of a frictionless roller coaster at various points based on mechanical energy conservation. At points B and C, the speed can be determined using the principle that potential energy at height is converted to kinetic energy. When starting from rest (v0 = 0), the time to reach point B can be calculated using kinematic equations. The participants clarify the importance of energy conservation in solving the problem. Overall, the thread emphasizes understanding the relationship between speed, height, and time in a frictionless environment.
Clari
Messages
62
Reaction score
0
A frictionless roller coaster of mas m starts at point A with speed v0. Assume that the roller coaster can be considered as a point particle and that it always remains on the track.

a.) what will be the speed of the roller coaster at point B and C?

P.S.: A and B are both ( h ) unit from the ground, and C is h/2 from the ground, and D is on the ground...B is xy unit from A, and C is xy unit from B too...and yz unit is D from C


Can someone please help me with me? Thank you~
 
Physics news on Phys.org
Mechanical energy is conserved.
What does that mean?
 
oh, yes..I get it now...Thank you Arildno...^-^
 
For part c of this question: suppose v0 = 0, how long will it take the roller coaster to reach point B?

I have no idea how to answer it...>_< Please help.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Conservation of Energy for a roller coaster
Replies
15
Views
5K
Uniform Circular Motion of Roller Coaster
Replies
4
Views
2K
Energy Equation for a Roller Coaster on a Full Circular Loop
Replies
2
Views
2K
How Is the Force on a Child in a Roller Coaster Calculated?
Replies
3
Views
7K
Minimum Speed for a Roller-Coaster Car to Complete a Loop without Seat Belts
Replies
12
Views
3K
Understanding Newton's First Law & Safety Measures for Roller Coaster Rides
Replies
4
Views
4K
Simulated circular motion on a roller coaster
Replies
5
Views
3K
Speed of a Roller Coaster, Conservation of Energy
Replies
2
Views
10K
How Does Roller Coaster Physics Calculate Velocity?
Replies
1
Views
3K
Person sitting on scale on roller coaster
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top