Calculate the amount of work which a ball bearing of weight 50 mN does against the drag force (fluid resistance) when it falls at a constant velocity through 1 metre of fluid. Remember that the fact that the ball bearing is falling at constant velocity tells us that the resultant force which is acting on it for the duration of the fall is zero.50 J0.5 J5 J0.05 J
Question
Calculate the amount of work which a ball bearing of weight 50 mN does against the drag force (fluid resistance) when it falls at a constant velocity through 1 metre of fluid. Remember that the fact that the ball bearing is falling at constant velocity tells us that the resultant force which is acting on it for the duration of the fall is zero.50 J0.5 J5 J0.05 J
Solution
The work done by a force on an object is given by the equation W = Fd, where W is the work done, F is the force, and d is the distance over which the force is applied.
In this case, the ball bearing is falling at a constant velocity, which means the drag force (fluid resistance) is equal to the weight of the ball bearing. Therefore, the force F is 50 mN or 0.05 N (since 1 N = 1000 mN).
The distance d over which the force is applied is 1 metre.
Substituting these values into the equation gives:
W = Fd W = 0.05 N * 1 m W = 0.05 J
So, the amount of work which the ball bearing does against the drag force when it falls at a constant velocity through 1 metre of fluid is 0.05 Joules.
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