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 324 newtons when the car is moving at a speed of 60 kilometers per hour and
The passenger has a mass of 100 kilograms, find the force a passenger experiences when the car is Moving at 70 kilometers per hour and the passenger has a mass of 80 kilograms.
A) 352.8 newtons
B) 313.6 newtons
C) 392 newtons
D) 441 newtons

Question

Quizplus · Accepted Answer

The force is jointly proportional to the mass and the square of the speed, so we can write:F = k * m * v^2where k is a constant.We can find the value of k by using the given information:F = 324 Nm = 100 kgv = 60 km/h = 16.67 m/sSubstituting these values into the equation, we get:324 N = k * 100 kg * (16.67 m/s)^2k = 324 N / (100 kg * (16.67 m/s)^2)k = 0.12 N/(kg*(m/s)^2)Now we can use this value of k to find the force for the new mass and speed:m = 80 kgv = 70 km/h = 19.44 m/sF = k * m * v^2F = 0.12 N/(kg*(m/s)^2) * 80 kg * (19.44 m/s)^2F = 352.8 NTherefore, the force experienced by the passenger is 352.8 N.

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