Understanding the Concepts

* Centripetal Force: The force that keeps an object moving in a circular path. It always points towards the center of the circle.

* Centripetal Acceleration: The acceleration an object experiences due to the centripetal force. It's also directed towards the center of the circle.

* Formula: The relationship between centripetal force (Fc), mass (m), velocity (v), and radius (r) is: Fc = (m * v^2) / r

Solving the Problem

1. Identify the known values:

* Mass (m) = 1200 kg

* Velocity (v) = 20 m/s

* Centripetal force (Fc) = 6000 N

2. Rearrange the formula to solve for the radius (r):

* r = (m * v^2) / Fc

3. Substitute the known values into the formula:

* r = (1200 kg * (20 m/s)^2) / 6000 N

4. Calculate the radius:

* r = (1200 kg * 400 m^2/s^2) / 6000 N

* r = 480000 kg*m^2/s^2 / 6000 N

* r = 80 meters

Answer: The radius of the curve is 80 meters.