Having trouble finding the horizontal velocity of the object rolling down a ramp

Click For Summary
To find the horizontal velocity of an object rolling down a ramp from a height of 5.0m to 3.0m, energy conservation principles can be applied, specifically using gravitational potential energy and kinetic energy equations. The angle or length of the ramp is crucial for determining the horizontal velocity, as it affects the object's trajectory upon leaving the ramp. The kinematic equation vf² = vi² + 2ad can be utilized if the ramp's characteristics are known, but there is confusion about its applicability to a curved ramp. It's important to clarify whether the ramp is straight or curved and if the object exits horizontally. The mass of the object is not necessary for these calculations, simplifying the problem.
yokialana
Messages
5
Reaction score
0

Homework Statement


I need to find the horizontal velocity of an object on a ramp where the first height is 5.0m and the second height is 3.0m? I also need to find the time it takes to fall from the ramp, and the distance it falls away from the ramp. I am only given the two heights, an initial velocity of 0, and of course I have gravity.

Homework Equations


ep=mgh
ek=0.5mv2


The Attempt at a Solution


Not sure where to start even.
 
Physics news on Phys.org
yokialana said:

Homework Statement


I need to find the horizontal velocity of an object on a ramp where the first height is 5.0m and the second height is 3.0m? I also need to find the time it takes to fall from the ramp, and the distance it falls away from the ramp. I am only given the two heights, an initial velocity of 0, and of course I have gravity.

Homework Equations


ep=mgh
ek=0.5mv2


The Attempt at a Solution


Not sure where to start even.

I can see your dilemma - I think you need the either the angle of, or the length of, the ramp.

It is fine to use energy considerations to calculate how fast the object [presumably sliding down a frictionless ramp] will be traveling when it leaves the lower end of the ramp, but without an angle you are stumped - other than to derive an answer which includes a variable like θ which could represent the angle of the ramp.

I assume frictionless, as any friction would complicate matters, and also assume sliding not rolling, as angular momentum/energy would otherwise affect the answer.
 
Does anybody know if it would work to use the kinematic equation vf2 = vi2 +2ad? I have all the variables to solve for final velocity. But I'm not sutre if it's different because it applies to a curved ramp. Plus this is in the work/energy unit so i don't know why my teacher would want me using that. I'm uber confused. This would be so much easier if I had mass.
 
yokialana said:
Does anybody know if it would work to use the kinematic equation vf2 = vi2 +2ad? I have all the variables to solve for final velocity. But I'm not sutre if it's different because it applies to a curved ramp. Plus this is in the work/energy unit so i don't know why my teacher would want me using that. I'm uber confused. This would be so much easier if I had mass.

Are you saying this ramp is curved?

Does the object leave the ramp traveling horizontally?

You definitely don't need the mass of the object.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
18
Views
3K
  • · Replies 56 ·
2
Replies
56
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
2
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
12K