A 710 kg car travels along US-321. How much working is needed to keep the car traveling at a constant speed of 21.1 m/s around a curve of radius 28.2 m?
None. Think out why, and post, we will be happy to critique your thinking. This is akin to asking how much work is needed to keep a satellite in orbit.
Because work=force*distance. The net force is zero for a car traveling along a level road at constant velocity. The zero total work explains why the car’s speed doesn’t change.
To determine the work needed to keep the car traveling at a constant speed around a curve, we need to consider the centripetal force acting on the car.
The centripetal force can be calculated using the formula:
Fc = (mv^2) / r
Where:
- Fc is the centripetal force
- m is the mass of the car (710 kg)
- v is the velocity of the car (21.1 m/s)
- r is the radius of the curve (28.2 m)
In this case, we assume that the work done is equal to the centripetal force multiplied by the distance traveled along the curve. However, since the problem doesn't mention the distance, we cannot directly calculate the exact work done.
If you have the distance traveled along the curve, you can calculate the work done by multiplying the centripetal force by the distance.