Final answer:
The force needed to keep a car turning in a curve of radius 43 m at a speed of 11.6 m/s, with a mass of 1512 kg, is 5586.1 N.
Step-by-step explanation:
To calculate the force needed to keep a car turning in a curve, we use the centripetal force formula:
Fc = (mv²)/r
Where Fc is the centripetal force, m is the mass of the car, v is its velocity, and r is the radius of the curve.
Plugging in the values given, the force needed is:
Fc = (1512 kg)(11.6 m/s)² / 43 m
Fc = 5586.1 N