A car does 6.0 104 J of work in traveling 2.6 km at constant speed. What was the average retarding force (from all sources) acting on the car?
Do you mean 6.0*10^4 J of work?
If so, please write it that way.
Divide the work by the distance in meters for the retarding force, in newtons. That will be what is needed to maintain constant speed.
0.43
To find the average retarding force acting on the car, we need to use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
The work done by the retarding force can be calculated using the formula:
Work = Force x Distance
We are given the work done by the car as 6.0 x 10^4 J and the distance traveled as 2.6 km. However, we need to convert the distance to meters as the SI unit of work is Joules.
1 km = 1000 m
So, 2.6 km = 2.6 x 1000 m = 2600 m
Now we have the work done and the distance, we can rearrange the work formula to find the force:
Force = Work / Distance
Force = 6.0 x 10^4 J / 2600 m
Dividing the work by the distance will give us the magnitude of the force.