Kinetic theory all matter is composed of
1 answer:
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Answer: 62.22 meters
Explanation:
Two solve this, we need to know first how the Sled interact with the snow. While the Sled runs over the snow, the snow opposes to it movement, this is call friction. Frictions creates is a force that goes against any movement and is caused by the interaction between surfaces.
Friction can be calculated using the following equation:
Friction's Force (Ff) = m*N
Where m is the Frictions coficient and N is call Normal, which is a force created by the contact between any weight and a surface. Because the sled is and the surface are totally horizontal, the Normal is equal to the Sled's Weight.
So for this case, we can calculate the Friction's Force:
Ff = 0.045 * 735 N
Ff = 33,07 N
This force will cause a negative acceleration the Sled causing it to slow down and finally stop. To know this accelaration we can use the following equation:
Force (F) = Mass (m) * Accelaration (a)
Looking for the accelaration:
Acceleration (a) = F / M
As a side note:
Mass (M) = F / a (1)
Where we know that F is equal to our Friction Force (Ff) and the Mass for the girl and the Sled can be obtained using the previous equation (1) like this
Girl and sled Mass (M) = 735 N / (9.81 m/s)
M = 74,92 Kg
This is posible, because the Girl and The Sled are aplying a Force on the ground equal to 735 N. The accelartion for their mass is the gravity
Now, with the mass we can found the Accelaration caused by friction:
Acceleration (a) = Ff / M
Accelaration (a) = 33,07 N / 74,92 Kg
a = 0,44
To know how far the Sled travel we can use the following equation:
Where Vf is the Final Velocity, which is when the sled finally stops (Vf = 0), Vo is the Initial Speed of the Sled equal to 7.4 m/s and a is equal to the negative accelaration that causes the friction.
Searching for x:
The girls will run over the snow 62.22 meter until finally stopping
The total average velocity 
(I assume west as positive direction) is given by the total displacement, S, divided by the total time taken, t:
where:
-The total displacement S is the algebraic sum of the displacement in the first part of the motion (
, due west) and of the displacement in the second part of the motion (
, due east).
-The total time taken t is the time taken for the first part of the motion,
, and the time taken for the second part of the motion, 
. can be found by using the average velocity and the displacement of the first part:
, instead, can be written as 
, where 
is the average velocity of the second part of the motion (with a negative sign, since it is due east).
Therefore, we can rewrite the initial equation as:
And by solving it, we find the displacement in the second part of the motion (i.e. how far did the backpacker move east):
where:
-The total displacement S is the algebraic sum of the displacement in the first part of the motion (
-The total time taken t is the time taken for the first part of the motion,
Therefore, we can rewrite the initial equation as:
And by solving it, we find the displacement in the second part of the motion (i.e. how far did the backpacker move east):