1. A 2500 kg car enters a curve with a radius of 45 m. If the car is moving at a speed of 35 m/s, what is the centripetal force that maintains the car’s circular motion through the curve?

Answer 1

First, we need to calculate the centripetal acceleration of the car:

Centripetal acceleration = v^2 / r
= (35 m/s)^2 / 45 m
= 27.78 m/s^2

Next, we can calculate the centripetal force required to maintain the car's circular motion through the curve:

Centripetal force = mass x centripetal acceleration
= 2500 kg x 27.78 m/s^2
= 69,450 N

Therefore, the centripetal force that maintains the car's circular motion through the curve is 69,450 N.