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Pull the sled Context It's a wonderful winter's day, you bring your little cousin sledding! To get to the mountain, you have to pull your little cousin in the sled on the snowy sidewalk (a horizontal surface). It's still a good exercise for the arms, you wonder how much force you need to provide to pull the sled rope. Information You know your cousin's mass. You walk at a constant and known speed on the sidewalk. You know the static and kinetic coefficients of friction of the sled on the snow. You know the angle between the string you are pulling and the horizontal. Schematization Draw a diagram of the object that interests us. Draw your x and y axes. Draw and name each force experienced by the object that interests us. Modelization Create a model for the tension force modulus that will be used to pull the sled based on the available parameters that are relevant (they may not all be!). Then test your model with the following values: Mass of your cousin: 30 kg Walking speed: 1.6 m/s Coefficient of static friction: 0.66 Kinetic coefficient of friction: 0.35 Angle of the chord with the horizontal: 43 degrees

Pull the sled Context It's a wonderful winter's day, you bring your little cousin sledding! To get to the mountain, you have to pull your little cousin in the sled on the snowy sidewalk (a horizontal surface). It's still a good exercise for the arms, you wonder how much force you need to provide to pull the sled rope. Information You know your cousin's mass. You walk at a constant and known speed on the sidewalk. You know the static and kinetic coefficients of friction of the sled on the snow. You know the angle between the string you are pulling and the horizontal. Schematization Draw a diagram of the object that interests us. Draw your x and y axes. Draw and name each force experienced by the object that interests us. Modelization Create a model for the tension force modulus that will be used to pull the sled based on the available parameters that are relevant (they may not all be!). Then test your model with the following values: Mass of your cousin: 30 kg Walking speed: 1.6 m/s Coefficient of static friction: 0.66 Kinetic coefficient of friction: 0.35 Angle of the chord with the horizontal: 43 degrees

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Pull the sled
Context

It's a wonderful winter's day, you bring your little cousin sledding! To get to the mountain, you have to pull your little cousin in the sled on the snowy sidewalk (a horizontal surface). It's still a good exercise for the arms, you wonder how much force you need to provide to pull the sled rope.

Information

You know your cousin's mass.
You walk at a constant and known speed on the sidewalk.
You know the static and kinetic coefficients of friction of the sled on the snow.
You know the angle between the string you are pulling and the horizontal.


Schematization

Draw a diagram of the object that interests us. Draw your x and y axes. Draw and name each force experienced by the object that interests us.

Modelization

Create a model for the tension force modulus that will be used to pull the sled based on the available parameters that are relevant (they may not all be!).

Then test your model with the following values:

Mass of your cousin: 30 kg

Walking speed: 1.6 m/s

Coefficient of static friction: 0.66

Kinetic coefficient of friction: 0.35

Angle of the chord with the horizontal: 43 degrees

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