Help with an air resistance problem.

AI Thread Summary
To determine the constant k for the resistive force F = k v of a raindrop with a mass of 1.06 × 10−5 kg and a terminal speed of 4 m/s, one must consider the forces acting on the raindrop, including gravitational force and air resistance. The gravitational force is calculated using F_gravity = mass × gravity, yielding 1.06 × 10−5 kg × 9.8 m/s². At terminal velocity, the resistive force equals the gravitational force, allowing the equation k v = F_gravity to be solved for k. For Part B, without air resistance, the time to reach the same speed can be calculated using kinematic equations. Understanding these concepts is essential for solving problems involving air resistance and terminal velocity.
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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