What is the coefficient of friction for a bumpy hill sled problem?

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In summary, a sled with a combined mass of 125 kg travels over a smooth icy hill that is 11.0 m high. The sled reaches the bottom of the hill with a speed of 22.5 m/s. There is a puddle with a diameter of 0.60 m and covered in ice located 24.84 m from the edge of the cliff. The question asks if the teacher avoids the puddle and if yes, by how much. In a separate scenario where the top of the hill is bumpy and the sled lands in the center of the puddle, the coefficient of friction between the top of the hill and the sled can be determined if the length of the hill top is 6.0
  • #1
kayjaydee
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Homework Statement


A sled with your physics teacher, having a combined mass of 125 kg, travels over a perfectly smooth icy hill.The hill is 11.0 m high and at the bottom of the hill, the sled is moving at 22.5 m/s. The center of a puddle, which is 0.60 m in diameter and covered in a thin layer of ice, is 24.84 m from the edge of the cliff. Does the teacher avoid the puddle and if yes by how much?

If the top of the hill was bumpy and the sled and teacher landed in the center of the puddle, determine the coefficient of friction between the top of the hill and the sled if the length of the hill top is 6.0 m.

Homework Equations


initial TME+Work=TME
KE= 1/2mv^2
potential grav. energy= mgh


The Attempt at a Solution



1/2(125)(22.5^2)=1/2(125)(22.5^2)+125(9.8)(11)

But I know that's not right at all :/
 
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  • #2
I can't easily picture the problem.
 
  • #3
Yeah, is there a diagram? The first portion of the question doesn't indicate the location of the cliff relative to the hill.
 

FAQ: What is the coefficient of friction for a bumpy hill sled problem?

1.

What is the "sled problem with hill"?

The "sled problem with hill" refers to a common physics problem where a sled is sliding down a snow-covered hill with a certain initial velocity and acceleration. The goal is to calculate the sled's final velocity and displacement at the bottom of the hill.

2.

What are the key factors to consider in the sled problem with hill?

The key factors to consider in the sled problem with hill include the sled's initial velocity, the angle of the hill, the coefficient of friction between the sled and the hill, and the acceleration due to gravity. These factors will affect the sled's motion and final velocity and displacement.

3.

How do you calculate the final velocity in the sled problem with hill?

The final velocity in the sled problem with hill can be calculated using the formula v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement. Alternatively, you can use the formula v = u + at, where t is the time taken for the sled to reach the bottom of the hill.

4.

What is the significance of the angle of the hill in the sled problem with hill?

The angle of the hill is a crucial factor in the sled problem as it determines the component of the sled's weight that is acting parallel to the surface of the hill. This component contributes to the sled's acceleration down the hill and can significantly affect the final velocity and displacement of the sled.

5.

How does friction affect the sled's motion in the sled problem with hill?

Friction between the sled and the hill's surface will act in the opposite direction to the motion of the sled. This frictional force will reduce the sled's acceleration and, therefore, its final velocity. The coefficient of friction between the sled and the hill's surface will determine the magnitude of this force.

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