There are two ways to find how much work is done voercoming friction. One method entails knowing the force overcoming friction. What other calculation could be done to find this wasted work?

Two ways? I can think of more than that. All deal with the concept of energy lost, either as work (force*distance), or as a change in total energy of the objecct (for example, change in KEnergy in slowing due to friction.

One way that I found was knowing the force overcoming friction (Ff). so the equation to fin dthe work would be Wf = Ff * d.. as you said above (force*distance). But what other calculation would you use to find the wasted work without knowing the friction force?

Hmmm.

Change in total energy= workdonebyfriction

okay so this is what i did to find the work done by overcoming friction:

Ff = .9 N
d = .91 m

(Ff x d = Wf --> .9 x .91 = .82 J)

hmm okay so how would you find the work done by friction using that calculation that you just said (change in total energy = work done by friction) if you had the above data?

Do you have the change in velocity during the time period? If so,

Initial KE-FinalKE= work done on friction

The other method to find the work done in overcoming friction is by calculating the work done by the force applied to an object. This can be done using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.

To calculate the work done by the applied force, follow these steps:

1. Determine the initial and final velocities of the object. If the object starts from rest and comes to a stop, the final velocity will be zero.
2. Find the mass of the object. This can usually be given in the problem or measured if necessary.
3. Use the formula for kinetic energy: KE = (1/2) * mass * velocity^2 to calculate the initial and final kinetic energy.
4. The work done by the applied force is equal to the change in kinetic energy: Work = KE final - KE initial.

Once you have obtained the work done by the applied force, you can compare it to the force overcoming friction to determine the wasted work. If the work done by the applied force is greater than the force of friction, then the excess work can be considered as wasted work in overcoming friction.

In summary, to find how much work is done overcoming friction, you can either know the force overcoming friction directly or calculate it indirectly by finding the work done by the applied force and then comparing it to the force of friction.