Faster! Context On this beautiful winter day, you brought your little cousin to sled. Arrived at the top of the slope, she asks you how long it will take to get to the bottom, without you pushing her. Information You know your cousin's mass. You know the angle of inclination of the slope. You know the length of the slope (the diagonal). You know the coefficients of static and kinetic friction between the sled and the snow. 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 time it takes for your cousin to get to the bottom of the slope using the relevant information from what is known. Then test your model with the following values: Mass of your cousin: 30kg; Slope angle (from horizontal): 28.2 degrees; Slope length: 97m; Coefficient of static friction: 0.6; Kinetic coefficient of friction: 0.32;
Faster!
Context
On this beautiful winter day, you brought your little cousin to sled. Arrived at the top of the slope, she asks you how long it will take to get to the bottom, without you pushing her.
Information
You know your cousin's mass.
You know the angle of inclination of the slope.
You know the length of the slope (the diagonal).
You know the coefficients of static and kinetic friction between the sled and the snow.
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 time it takes for your cousin to get to the bottom of the slope using the relevant information from what is known.
Then test your model with the following values:
Mass of your cousin: 30kg;
Slope angle (from horizontal): 28.2 degrees;
Slope length: 97m;
Coefficient of static friction: 0.6;
Kinetic coefficient of friction: 0.32;
Step by step
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