Context At your summer job, your supervisor wants to test your physics skills. A new winch (a cable driven by a motor) is to be used to hoist loads up an inclined ramp. Your supervisor is worried about the packages arriving too quickly at the top of the ramp. Constraints The inclined ramp is made up of small cylinders that are free to rotate: there is no friction between the ramp and the load. The angle theta of the ramp from the horizontal is known. The winch cable exerts a known force.
The tension is growing!
Context
At your summer job, your supervisor wants to test your physics skills. A new winch (a cable driven by a motor) is to be used to hoist loads up an inclined ramp. Your supervisor is worried about the packages arriving too quickly at the top of the ramp.
Constraints
The inclined ramp is made up of small cylinders that are free to rotate: there is no friction between the ramp and the load.
The angle theta of the ramp from the horizontal is known.
The winch cable exerts a known force.
The cable is oriented at an angle a from the horizontal.
The charge, initially immobile, has a known mass.
The length of the ramp is known.
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
Build a model to calculate the final speed of the load as it arrives at the top of the ramp, given the known parameters. Then test your model with the following values:
Ramp angle: 28 degrees
The tension in the cable: 44 N
The angle of the cable from the horizontal: 36 degrees
The mass of the load: 2.9 kg
The length of the ramp: 3.7 m
Step by step
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