Questin about moving an object through liquid

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Homework Help Overview

The discussion revolves around calculating the force required to pull a copper ball through a fluid at a constant speed, focusing on the effects of drag force and the absence of buoyant force.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to use a formula related to drag force but expresses uncertainty about its correctness and completeness. Participants discuss the forces acting on the ball, including the weight and drag forces, and question the relevance of the radius in the context of the problem.

Discussion Status

Participants are exploring the relationships between the forces acting on the ball and clarifying the nature of the drag force. Some guidance has been offered regarding setting the upward force equal to the sum of the downward forces, but no consensus has been reached on the approach to take.

Contextual Notes

The original poster notes a lack of complete information necessary to apply the formula effectively, and there is an emphasis on the specific drag force relationship being linear rather than quadratic.

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Homework Statement



Calculate the force required to pull a copper ball of radius 2.50 cm upward through a fluid at the constant speed 9.00 cm/s. Take the drag force to be proportional to the speed, with proportionality constant 0.950 kg/s. Ignore the buoyant force.
1 N

Homework Equations



R=(1/2)DPAV^2

The Attempt at a Solution



the above formula may not be correct but its something like that. i tried to use that formula to calculate the force but the problem doesn't give me all the information required to plug it into the formula. is there anything that i am missing taht you guys can guide me through
 
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Draw a free body diagram of the ball. There are three forces acting on the ball since the buoyant force is ignored. Because it's moving at a constant speed, the net force has to be zero.
 
so one would be the force that we are finding out, there is also a weight force and drag force pointing down? would the equation on the OP be required?
 
There is a V^2 in your equation. Note, that for whatever reason, the drag used is set proportional to the velocity, rather than velocity squared. I would begin by finding drag as a function of velocity.
 
Last edited:
The upward force is what you are solving for. You know the two downward forces, gravity and drag. Set the upward force equal to the sum of the two downward forces. The radius of the object has nothing to do with this problem because you were given the drag coefficient.
 

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