Max velocity up a frictionless inclined plane

In summary, the air table has a 25 cm square surface with a 1 cm incline. Using the equations for maximum velocity and distance traveled, a puck launched at a velocity of 5.54 m/s would reach a maximum height of 0.06 m. This velocity would cause the puck to hit the upper wall of the table, so the minimum velocity for the puck to stay on the table would be less than 5.54 m/s.
  • #1
olliepower
8
0

Homework Statement


The air table is approximately 25 cm square. If the incline has a rise of 1cm over that distance, what is the maximum velocity up the slope that a puck may have and not hit the upper wall


Homework Equations


ymax = (V^2sin(θ))/(2g)
xmax = 2V^2sin(θ)cos(θ)/g

The Attempt at a Solution



0.25 = (2 v^2 sin(2.29) cos(2.29))/9.81

V = 5.54

then I took my result substituted it into the y max equation.

ymax = ((5.54^2)*sin(2.29))/(2*9.81) = .06 M

Does this mean that if the puck was launched at that velocity, it would go off the end of the table? Should first be setting ymax = .01? If I do that, it does not seem that the puck would go anywhere in the x direction.
 
Physics news on Phys.org
  • #2
I think you mean the minimum velocity the puck should have. Because any velocity beyond the minimum velocity would be enough for the puck to hit the top portion of the table..
 

Related to Max velocity up a frictionless inclined plane

1. What is the formula for calculating the maximum velocity up a frictionless inclined plane?

The formula for calculating the maximum velocity up a frictionless inclined plane is given by v = √(2gh), where v is the maximum velocity, g is the acceleration due to gravity, and h is the height of the inclined plane.

2. How does the angle of the inclined plane affect the maximum velocity?

The steeper the angle of the inclined plane, the greater the acceleration due to gravity, resulting in a higher maximum velocity. However, if the angle is too steep, the object may slide back down the inclined plane due to gravity, resulting in a lower maximum velocity.

3. What is the impact of mass on the maximum velocity up a frictionless inclined plane?

The mass of an object does not directly affect the maximum velocity up a frictionless inclined plane. However, a heavier object will require more force to push up the inclined plane, resulting in a slower acceleration and therefore a lower maximum velocity.

4. Is the maximum velocity up a frictionless inclined plane affected by the length of the inclined plane?

No, the length of the inclined plane does not affect the maximum velocity as long as the angle and height remain constant. The length may affect the time it takes for the object to reach the top of the inclined plane, but not the maximum velocity it can achieve.

5. Can the maximum velocity up a frictionless inclined plane ever be greater than the velocity of an object falling freely?

Yes, the maximum velocity up a frictionless inclined plane can be greater than the velocity of an object falling freely. This is because the inclined plane provides a force that opposes the force of gravity, resulting in a slower acceleration and therefore a lower velocity for the falling object, while the inclined plane can accelerate the object to a higher maximum velocity.

Similar threads

  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
18
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
15
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
17
Views
4K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
3K
Back
Top