Solve.
-While traveling in a car, the centrifugal 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 the a passenger experiences a force of 28.8
Newtons when the car is moving at a speed of 20 kilometers per hour and the passenger has a mass of 80
Kilograms, find the force a passenger experiences when the car is moving at 70 kilometers per hour and the
Passenger has a mass of 90 kilograms.
A) 396.9 newtons
B) 352.8 newtons
C) 441 newtons
D) 490 newtons

Question

Quizplus · Accepted Answer

The force experienced by a passenger (F) varies jointly with the mass of the passenger (m) and the square of the speed of the car (v^2). This relationship can be expressed as F = k*m*v^2, where k is the constant of variation. Given F = 28.8 N, m = 80 kg, and v = 20 km/h for the first scenario, we can solve for k. Then, using the value of k, we can find the force experienced by a passenger with a mass of 90 kg at a speed of 70 km/h. The correct calculation leads to a force of approximately 396.9 newtons, making option A the correct answer.

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