Solve the problem.
-While traveling in a car, the centripetal force a passenger experiences as the car drives in a circle varies jointly as the mass of the passenger and the square of the speed of the car. If a passenger experiences a force of 129.6
Newtons when the car is moving at a speed of 40 kilometers per hour and the passenger has a mass of 90
Kilograms, find the force a passenger experiences when the car is moving at 20 kilometers per hour and the
Passenger has a mass of 80 kilograms.
A) 28.8 N
B) 36 N
C) 25.6 N
D) 32 N

Question

Quizplus · Accepted Answer

The centripetal force $ F $ is given by $ F = k \cdot m \cdot v^2 $. Using the given data, $ 129.6 = k \cdot 90 \cdot 40^2 $. Solving for $ k $, we find $ k = \frac{129.6}{90 \cdot 1600} $. For the new conditions, $ F = k \cdot 80 \cdot 20^2 $. Substituting the value of $ k $, we find $ F = 28.8 $ N.

Solve the Problem. -While Traveling in a Car, the Centripetal Force a Passenger