Final answer:
A car of mass 810 kg drives around a circular track at a speed of 15 m/s. If the radius of the track is 150 m, the average centripetal force exerted on the car is 1215 N.
Step-by-step explanation:
The centripetal force exerted on an object moving in a circular path is given by the formula:
Fc = (m*v2)/r
Where:
- Fc is the centripetal force
- m is the mass of the object
- v is the speed of the object
- r is the radius of the circular path
Using the given values:
- m = 810 kg
- v = 15 m/s
- r = 150 m
Substituting the values into the formula, we have:
Fc = (810 kg * (15 m/s)2) / 150 m
Simplifying the expression, we get:
Fc = 1215 N
Therefore, the average centripetal force exerted on the car is 1215 N.