Context On this beautiful winter day, you brought your little cousin to sled. She loved her first descent and would like you to take her back in her sled to the top of the slope. You can't refuse anything from this little one! You start to pull on the rope of the sled to pull your cousin up, wondering again how much force will be needed. Information You know your cousin's mass. You go up the slope pulling your cousin at a constant speed. You know the angle of inclination of the slope (let's call it theta ). You know the angle the sled rope makes with respect to the inclined plane (let's call it phi ). You know the static and kinetic friction coefficients of the sled. 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 in the string as you reassemble your cousin, using the relevant information from what is known. Then test your model with the following values: Mass of your cousin: 32 kg; Slope angle (relative to horizontal): theta = 26.3 degrees; Slope angle (relative to horizontal): phi =11.9 degrees; Coefficient of static friction: 0.64; Kinetic coefficient of friction: 0.47;
Context
On this beautiful winter day, you brought your little cousin to sled. She loved her first descent and would like you to take her back in her sled to the top of the slope. You can't refuse anything from this little one! You start to pull on the rope of the sled to pull your cousin up, wondering again how much force will be needed.
Information
You know your cousin's mass.
You go up the slope pulling your cousin at a constant speed.
You know the angle of inclination of the slope (let's call it theta ).
You know the angle the sled rope makes with respect to the inclined plane (let's call it phi ).
You know the static and kinetic friction coefficients of the sled.
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 in the string as you reassemble your cousin, using the relevant information from what is known.
Then test your model with the following values:
Mass of your cousin: 32 kg;
Slope angle (relative to horizontal): theta = 26.3 degrees;
Slope angle (relative to horizontal): phi =11.9 degrees;
Coefficient of static friction: 0.64;
Kinetic coefficient of friction: 0.47;
Step by step
Solved in 4 steps with 1 images
