context On a winter day, you are taking your little brother for a sleigh ride on a snowy road. It reminds you of good memories: you have already thought about this problem with the notions of dynamics! You are curious to know if you can analyze this problem with the notions of work and energy, to determine the final speed of your nephew after you have pulled him a certain distance. Here is the known information: the mass of your little brother; its initial velocity; its displacement; the kinetic coefficient of friction between the sled and the snow; the tension you exert on the string; the angle between the chord 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 of interest and identify its displacement. Modelization Develop a model to find the final speed of your nephew according to the known parameters, using the notions of work and energy. Then test your model with the following values: Mass of your little brother: 24.9 kg Initial Velocity: 2.6 m/s Displacement: 3.5 m Kinetic coefficient of friction: 0.137 Tension in the string: 52.6 N Angle of the chord with the horizontal: 23.3 degrees
context
On a winter day, you are taking your little brother for a sleigh ride on a snowy road. It reminds you of good memories: you have already thought about this problem with the notions of dynamics! You are curious to know if you can analyze this problem with the notions of work and energy, to determine the final speed of your nephew after you have pulled him a certain distance.
Here is the known information:
the mass of your little brother;
its initial velocity;
its displacement;
the kinetic coefficient of friction between the sled and the snow;
the tension you exert on the string;
the angle between the chord 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 of interest and identify its displacement.
Modelization
Develop a model to find the final speed of your nephew according to the known parameters, using the notions of work and energy.
Then test your model with the following values:
Mass of your little brother: 24.9 kg
Initial Velocity: 2.6 m/s
Displacement: 3.5 m
Kinetic coefficient of friction: 0.137
Tension in the string: 52.6 N
Angle of the chord with the horizontal: 23.3 degrees
Step by step
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