A kid slips off the top of the hill -- find the escape angle

In summary, the escape angle refers to the angle at which an object would need to slip off the top of a hill in order to completely escape the pull of gravity and continue moving away from the hill. It is determined by factors such as the height and slope of the hill, gravitational pull, and external forces like surface friction and air resistance. The escape angle is important in understanding gravity and motion, and has practical applications in fields such as roller coaster design and projectile trajectory. It is closely related to other concepts in physics, including potential and kinetic energy, projectile motion, gravitational force, and the laws of thermodynamics.
  • #1
Michael_0039
59
7
Homework Statement
No friction. Initial velocity=0 (pic)
Relevant Equations
nil
Hi,

This is my try.
New Doc 2019-12-05 15.25.40_1.jpg


New Doc 2019-12-05 15.25.40_2.jpg


Are you in agreement with this ?

Thanks.
 
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  • #2
I agree.
 

1. What is the escape angle?

The escape angle is the angle at which the kid slips off the top of the hill and begins to slide down.

2. How is the escape angle determined?

The escape angle is determined by several factors, including the steepness of the hill, the surface material, and the force of gravity.

3. Can the escape angle be calculated?

Yes, the escape angle can be calculated using trigonometric formulas and the measurements of the hill's slope and height.

4. Why is the escape angle important to know?

The escape angle is important because it helps determine the potential danger and speed at which the kid will slide down the hill.

5. How can the escape angle be prevented?

The escape angle can be prevented by taking precautions such as using a sled or other sliding device with a controlled speed, or by adding barriers or traction to the hill's surface.

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