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 72.9
Newtons when the car is moving at a speed of 30 kilometers per hour and the passenger has a mass of 90
Kilograms, find the force a passenger experiences when the car is moving at 50 kilometers per hour and the
Passenger has a mass of 50 kilograms.
A) 100 newtons
B) 150 newtons
C) 112.5 newtons
D) 125 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 represented by the equation F = k * m * v^2, where k is the constant of variation. Given F = 72.9 N, m = 90 kg, and v = 30 km/h for the first scenario, we can solve for k. To find the force in the second scenario with m = 50 kg and v = 50 km/h, we use the same equation with the previously found k. Converting speeds from km/h to m/s is not necessary since we're comparing proportional situations. The calculation shows that the force in the second scenario is 112.5 N.

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