Calculating Work Done Dragging a 20.0kg Suitcase

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SUMMARY

The work done by a passenger dragging a 20.0 kg suitcase at a constant velocity of 15 meters on a flat surface can be calculated using the formula W = μ * m * g * d, where μ is the coefficient of kinetic friction (0.340), m is the mass (20.0 kg), g is the acceleration due to gravity (approximately 9.81 m/s²), and d is the distance (15 m). Since the suitcase is moving at constant velocity, the net force is zero, confirming that the frictional force equals the applied force. This understanding clarifies the relationship between force, mass, and acceleration in this context.

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  • Understanding of Newton's laws of motion
  • Knowledge of kinetic friction and its coefficient
  • Familiarity with basic physics formulas for work and force
  • Concept of constant velocity and its implications on acceleration
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A 20.0kg suitcase is dragged horizontally on a flat floor by a passenger at a constant velocity for 15m. The coefficient of kinetic friction is .340.

What is the work done by the passenger?

I've been trying to do W = FD
F = ma

But it says constant veloctiy, which throws me off. Constant veloocity means no acceleration right? I'm lost. Thanks in advance.
 
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I think I get it actaully. It's werid. I post a question here and even before I get a response things start making sense.

I did, F - frictionForce = ma. Since a = 0, the F = frictionForce.

So, W = coeff of friction * mass * gravity * distance. Would that be correct?
 
askthefool said:
I think I get it actaully. It's werid. I post a question here and even before I get a response things start making sense.

I did, F - frictionForce = ma. Since a = 0, the F = frictionForce.

So, W = coeff of friction * mass * gravity * distance. Would that be correct?

Yep, sounds ok. Constant velocity indeed means no acceleration, which means that there's no resultant force (i.e. the forces balance, as you've done).
 

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