Help with an air resistance problem.

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SUMMARY

The discussion focuses on calculating the resistive force constant k for a raindrop with a mass of 1.06 × 10-5 kg that reaches a terminal speed of 4 m/s in air, where the acceleration due to gravity is 9.8 m/s2. The resistive force is defined by the equation F = k v. By applying the principles of physics, k can be determined using the equation k = mg/v, resulting in a value of 0.000265 kg/s. Additionally, the time taken for the raindrop to reach the same speed without air resistance can be calculated using the formula t = v/g, yielding a time of approximately 0.408 seconds.

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  • Basic knowledge of free-body diagrams
  • Ability to manipulate algebraic equations
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john12933
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Part A)
A raindrop of mass 1.06 × 10−5 kg falls in air
and reaches a terminal speed of 4 m/s.
The acceleration of gravity is 9.8 m/s2 .
What is the value of the constant k that
determines the resistive force F = k v ?
Answer in units of kg/s

Part B)
If there were no air resistance, how long would
it take the raindrop to reach the same speed?
Answer in units of s.

I'm sorry there's no work, but I just have no idea where to start. We haven't even learned about air resistance in my class yet, and I was assigned this for homework.
 
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john12933 said:
Part A)
A raindrop of mass 1.06 × 10−5 kg falls in air
and reaches a terminal speed of 4 m/s.
The acceleration of gravity is 9.8 m/s2 .
What is the value of the constant k that
determines the resistive force F = k v ?
Answer in units of kg/s.

Start by drawing a free-body diagram, what are the forces acting?

If the resultant force is downward, using the forces you listed, form an expression for the resultant force.
 

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