Problem about finding the work done by friction force

AI Thread Summary
To find the work done by the friction force on a block being dragged, the formula W = F_f * d is used, where F_f is the friction force and d is the displacement. Given a friction force of 3.3 N and a displacement of 17.0 m, the work done by friction is calculated as W = -3.3 N * 17.0 m, resulting in -56.1 Joules. It's emphasized that work done by friction is negative due to the opposing direction of the force relative to displacement. Understanding that work is the dot product of force and displacement simplifies the calculation process. This approach clarifies how to calculate work done by any force effectively.
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Homework Statement



A block of mass M=3.4 kg is dragged over a horizontal surface by a force F=20.0 N. The block is displaced a distance d=17.0 m, the friction force Ff is 3.3 N. What is the work done by the friction force?


Homework Equations



Ff=μkFn

The Attempt at a Solution



I solved a problem before this one in finding the applied force but this one is very confusing to me. I have no idea where to even start. Thank you!
 
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Work done by friction is always negative. The work done by a constant force is always the dot product of the force multiplied the displacement whether or not the force is the cause of the displacement. So the work done would be -3.3*17 = -56.1 Joules.
 
Why don't we start with recalling how to calculate the work done by any Force?
\Large W = \int \vec{F} \cdot d\vec{r}
We can reduce this to simply:
<br /> \vec{F}\cdot{\vec{x}}<br />
Now the rest is pretty straightforward in your case.
Hope that takes care of the confusion,
Daniel
 
Thank you so much!
 
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