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When a vehicle passes through a road, it displaces air. Before the car passed through the road, this air was in equilibrium (assuming no wind), and hence any dust present in the area would have likely settled. When the vehicle passes through, this air is displaced and pushes the dust out of its "equilibrium" state. This is possible because dust particles have very little mass. If you consider: F=ma
⇒a=mF
Now, if the mass is extremely small (like that of a dust particle), then the magnitude of the acceleration will be much larger than that of say a rock, which has a much greater mass.
This is why dust blows when a car passes through a road.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
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2^{34}
a_{i-1}
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\sin \theta
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Comments
When a vehicle passes through a road, it displaces air. Before the car passed through the road, this air was in equilibrium (assuming no wind), and hence any dust present in the area would have likely settled. When the vehicle passes through, this air is displaced and pushes the dust out of its "equilibrium" state. This is possible because dust particles have very little mass. If you consider: F=ma
⇒ a=mF
Now, if the mass is extremely small (like that of a dust particle), then the magnitude of the acceleration will be much larger than that of say a rock, which has a much greater mass.
This is why dust blows when a car passes through a road.
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It will be best if you consider momentum, Momentum of dust before = 0 , Momentum after = mv
Hence: Total Momentum : Momentum before = Momentum after
MV = mu + o where M = Mass of Car and V is Velocity of car
four words: rushing air from tires
It will be best if you consider momentum, Momentum of dust before = 0 , Momentum after = mv
Hence: Total Momentum : Momentum before = Momentum after
MV = mu + o where M = Mass of Car and V is Velocity of car