Minumum velocity when entering a loop?

  • Thread starter Thread starter davidpac
  • Start date Start date
  • Tags Tags
    Loop Velocity
Click For Summary
SUMMARY

The minimum speed required for a small object to complete a loop with a 2-meter diameter is 5 m/s. This conclusion is derived from applying the principles of centripetal force and conservation of energy. At the top of the loop, the gravitational force must be balanced by the centripetal force, leading to the calculation that confirms 5 m/s as the necessary velocity at the bottom of the ramp. The options provided in the discussion confirm that 5 m/s is the only viable answer.

PREREQUISITES
  • Understanding of centripetal force and its relationship with velocity
  • Knowledge of gravitational force and its effects on objects in motion
  • Familiarity with conservation of energy principles in physics
  • Basic mathematical skills for solving equations related to motion
NEXT STEPS
  • Study the concept of centripetal acceleration and its formulas
  • Learn about the conservation of mechanical energy in closed systems
  • Explore the effects of friction on motion and energy conservation
  • Investigate real-world applications of loops in roller coaster design
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of motion and forces in circular paths.

davidpac
Messages
4
Reaction score
0
A small object goes down a ramp and through a loop with a 2 metre diameter. In order to complete the loop, what is the minimum speed the object must have when reaching the bottom of the ramp? (consider there is no friction)

a) 5 m/s
b) 0 m/s
c) 3 m/s
d) 7 m/s


I'm a bit clueless on this one, I think a minimum speed has to be stronger then the gravity force, but non of those values make sense to me.
 

Attachments

  • imagem4.png
    imagem4.png
    2.4 KB · Views: 428
Physics news on Phys.org
Use (a) Fnet = ma at the top of the circle and
(b) conservationof energy at top and bottom of the circle.
 

Similar threads

Loop problem with skier on ramp going into a loop-the-loop
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad Two recent tests of loop quantum gravity theory
  • · Replies 15 ·
Replies
15
Views
6K
A boy, a cart, a loop , an icecream-cone
  • · Replies 2 ·
Replies
2
Views
2K
Understanding the Minimum Speed to Keep Carriage on Tracks in a Loop
  • · Replies 5 ·
Replies
5
Views
2K
Graduate The effect of perpendicular wind at channel inlet
  • · Replies 12 ·
Replies
12
Views
2K
Non conservative energies on a Loop
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Escape velocity near a black hole: Newtonian or Special Relativity?
  • · Replies 17 ·
Replies
17
Views
2K
Why Can't Conservation of Energy Be Used to Solve the Loop Problem in Physics?
  • · Replies 3 ·
Replies
3
Views
2K
Solving for Min Speed on Loop-the-Loop Rides
  • · Replies 3 ·
Replies
3
Views
2K
Loop-the-Loop and velocity problem
  • · Replies 8 ·
Replies
8
Views
3K