Speed Sliding down a hill (frictionless)

In summary, a child and sled with a combined mass of 53.8 kg slide down a frictionless hill that is 8.56 m high. The final speed of the sled at the bottom of the hill can be calculated using either the force of gravity and acceleration formulas or the potential and kinetic energy formulas.
  • #1
Bigdane
14
0
A child and sled with a combined mass of 53.8 kg slide down a frictionless hill that is 8.56 m high. If the sled starts from rest, what is its speed at the bottom of the hill?

m/sim not sure how to calculate speed given the information.
help please?
 
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  • #2
There are two ways to tackle this problem. One is to work with the force of gravity downward, find the component of that along the hill, and then the acceleration that it causes. Accelerated motion formulas will allow you to work out the final speed after sliding the length of the hill.

The other approach is to say that the potential energy at the top is equal to the kinetic energy at the bottom. Set the two formulas equal, put in numbers and out pops the answer!
 
  • #3
thanks a bunch!
 

Related to Speed Sliding down a hill (frictionless)

1. What is speed sliding down a hill (frictionless)?

Speed sliding down a hill (frictionless) is a theoretical scenario in which an object slides down a hill without any resistance from friction. This means that the object will not experience any slowing down due to the contact with the surface of the hill.

2. What factors affect the speed of an object while sliding down a hill (frictionless)?

The speed of an object while sliding down a hill (frictionless) is affected by the angle of the hill, the mass of the object, and the initial velocity of the object. The steeper the hill, the faster the object will slide. A heavier object will also have a higher speed, and a higher initial velocity will result in a higher speed as well.

3. Is speed sliding down a hill (frictionless) possible in real life?

No, it is not possible to have a completely frictionless scenario in real life. Friction is present in all surfaces, and even the slightest amount of friction would affect the speed of an object sliding down a hill.

4. How is the speed of an object calculated while sliding down a hill (frictionless)?

The speed of an object while sliding down a hill (frictionless) can be calculated using the formula v = √(2gh), where v is the speed, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the hill. This formula assumes no friction and a constant acceleration due to gravity.

5. How does the presence of friction affect the speed of an object while sliding down a hill?

The presence of friction will always slow down the speed of an object while sliding down a hill. Friction is a force that opposes motion, so it will work against the object's motion and decrease its speed. The steeper the hill, the more friction there will be, resulting in a slower speed.

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