Final answer:
The centripetal force acting on the remote-control car moving at a constant speed in a vertical circle is 46.8 Newtons.
Step-by-step explanation:
The question is asking about the centripetal force acting on a remote-control car moving at a constant speed in a vertical circle. To calculate the centripetal force (Fc), we use the equation Fc = mv²/r, where 'm' is the mass of the object, 'v' is the velocity, and 'r' is the radius of the circle. In this case, the mass (m) is 1.65 kg, the velocity (v) is 12.0 m/s, and the radius (r) is 5.00 m.
Fc = (1.65 kg) × (12.0 m/s)² / (5.00 m) = (1.65 kg) × (144 m²/s²) / (5.00 m) = 46.8 N
So, the centripetal force acting on the car is 46.8 Newtons.