What is the Formula for Calculating Power and Accounting for Friction?

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To calculate power while accounting for friction, the work done against friction must be considered, not just the weight of the load. The formula for power is P = work/time, where work is defined as force multiplied by distance. The force exerted to drag an object includes the frictional force, which varies based on the coefficient of friction and the weight of the object. For a 40kg load on a flat surface, the acceleration can be calculated, and the frictional force must be subtracted from the total force to determine the effective force for calculating power. Understanding these dynamics is crucial for accurate power calculations in real-world scenarios.
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Ok,

So, let's say I was to drag a 40kg load in a set distance of 10 meter. I record the time, it was 5 secs.

Now I find power, P=work/t. We know work=force x distance.

SO my question is, is force just mass of load x acceleration due to gravity? 9.81m/s^2.

So P= ((40kg x 9.81) * 10 meters)/5 seconds,

so 784 watts or so. Thanks guys. What about force of friction? I guess this question doesn't want me to go that far in yet.

Thanks guys. :smile:
 
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I don't quite agree with the way you get work and force.
The work you done is against the friction force, not the weight of the load.
Hence force = mg is not applicable.
In fact, work needed to drag an object for different surface is different due to difference in coefficient of friction.
Greater mass do need greater force to drag, but that is because the friction is higher, as the frictional force is greater for a heavier object.
 
Harmony said:
I don't quite agree with the way you get work and force.
The work you done is against the friction force, not the weight of the load.
Hence force = mg is not applicable.
In fact, work needed to drag an object for different surface is different due to difference in coefficient of friction.
Greater mass do need greater force to drag, but that is because the friction is higher, as the frictional force is greater for a heavier object.

So how does one do it in terms of the equation?
 
a = (v-u)/t

given u = 0, and v = s/t

a = s/t^2

= 0.4 ms^-2

(assuming non-frictional planar flat surface, linear acceleration)

thats what i think, at least
 
Last edited:
perfect! so the force is 40 * 0.4...and that by 5 gives you the power!
 
I see. So V=d/t, then use that as a final V in a=Vf-Vi/t, a=.4 m/s^2 on a non frictional surface.

Sorry, I just didn't get the formulas Xiankai was using.

I see! so if I had a coefficient of friction then I all I would do is go (40kg x 0.4 m/s^2) - u (mu) x F normal (m x g)? Excellent. Then I'll probably have to consider the static or kinetic friction too... lol, lucky I don't have to do this.
 
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