Suppose that a constant power Po is applied to a toy car of mass m traveling horizontally on a tabletop with friction coefficient μ. (Neglect other drag forces.) Assume the car starts from rest at the origin. Hint: The power is Po = Fv a) Does the car reach a terminal velocity? If so, find this value in terms of the given quantities. If you think its speed keeps increasing forever, state your reasoning for this. b) Sketch a graph of v vs. t for this car. (Hint: Pay close attention to the starting point; what is the acceleration there?)

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Suppose that a constant power Po is applied to a toy car of mass m traveling horizontally on
a tabletop with friction coefficient μ. (Neglect other drag forces.) Assume the car starts
from rest at the origin. Hint: The power is Po = Fv
a) Does the car reach a terminal velocity? If so, find this value in terms of the given
quantities. If you think its speed keeps increasing forever, state your reasoning for this.
b) Sketch a graph of v vs. t for this car. (Hint: Pay close attention to the starting point;
what is the acceleration there?)
Transcribed Image Text:Suppose that a constant power Po is applied to a toy car of mass m traveling horizontally on a tabletop with friction coefficient μ. (Neglect other drag forces.) Assume the car starts from rest at the origin. Hint: The power is Po = Fv a) Does the car reach a terminal velocity? If so, find this value in terms of the given quantities. If you think its speed keeps increasing forever, state your reasoning for this. b) Sketch a graph of v vs. t for this car. (Hint: Pay close attention to the starting point; what is the acceleration there?)
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