2.04 meters distance is traveled by the sled before stopping.
Mass of the sled = m
The initial speed of the sled = 2 m/s
Coefficient of kinetic friction between sled and ice = 0.100
Let the distance the sled moves before it stops be d.
Gravity = 9.8 m/ s²
Let the initial kinetic energy sled be


The work done by the frictional force is,


Work done by frictional force= Initial kinetic energy of the sled


So, the distance traveled by the sled before stopping is




Therefore, the distance traveled by the sled before stopping is 2.04 meters.
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The final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.
<h3>What is velocity?</h3>
Velocity can be defined as the ratio of the displacement and time of a body.
To calculate the final velocity of Skater 1 we use the formula below.
Formula:
- mu+MU = mv+MV............ Equation 1
Where:
- m = mass of the first skater
- M = mass of the second skater
- u = initial velocity of the first skater
- U = initial velocity of the second skater
- v = final velocity of the first skater
- V = final velocity of the second skater.
make v the subject of the equation.
- v = (mu+MU-MV)/m................ Equation 2
Note: Let left direction represent negative and right direction represent positive.
From the question,
Given:
- m = 105 kg
- u = -2 m/s
- M = 71 kg
- U = 5 m/s
- V = -3.4 m/s.
Substitute these values into equation 2
- v = [(105×(-2))+(71×5)-(71×(-3.4))]/105
- v = (-210+355+241.4)/105
- v = 386.4/105
- v = 3.68 m/s
- v ≈ 3.7 m/s
Hence, the final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.
Learn more about velocity here: brainly.com/question/25749514
D. I hope my answer helps you!