Minumum velocity when entering a loop?

In summary, in order for a small object to complete a loop with a 2 metre diameter, it must have a minimum speed that is greater than the force of gravity and follows the principles of conservation of energy. None of the given options (a) 5 m/s, (b) 0 m/s, (c) 3 m/s, or (d) 7 m/s make sense without further information.
  • #1
davidpac
4
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.
 

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  • #2
Use (a) Fnet = ma at the top of the circle and
(b) conservationof energy at top and bottom of the circle.
 

Related to Minumum velocity when entering a loop?

What is the minimum velocity needed to enter a loop?

The minimum velocity needed to enter a loop is dependent on the size and shape of the loop, as well as the mass of the object entering the loop. Generally, a minimum velocity of 9.8 m/s (32 ft/s) is required for a standard circular loop.

What happens if the minimum velocity is not met when entering a loop?

If the minimum velocity is not met when entering a loop, the object will not have enough centripetal force to maintain a circular path and will likely fall off the loop.

How does the minimum velocity change if the loop is smaller or larger?

The minimum velocity needed to enter a loop will decrease as the loop size increases, and vice versa. This is because larger loops require more centripetal force, which is directly related to velocity, to maintain a circular path.

Can an object with a smaller mass enter a loop at a lower minimum velocity compared to an object with a larger mass?

Yes, an object with a smaller mass can enter a loop at a lower minimum velocity compared to an object with a larger mass. This is because the smaller mass requires less centripetal force to maintain a circular path in the loop.

Are there any other factors that can affect the minimum velocity needed to enter a loop?

Yes, other factors such as the shape and angle of the loop, as well as external forces like friction, can also affect the minimum velocity needed to enter a loop. Additionally, the type of surface the loop is on can also impact the minimum velocity needed.

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