Problema Solution
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 a passenger experiences a force of 230.4 newtons when the car is moving at a speed of 80 kilometers per hour and the passenger has a mass of 40 kilograms, find the force a passenger experiences when the car is moving at80 kilometers per hour and the passenger has a mass of 60 kilograms.
Answer provided by our tutors
Let's
F = the centrifugal force ,
v = speed of the car
m = the mass of the passenger
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
F = k*m*v², where k is constant.
Let's find k.
k = F/(m*v²)
Substitute in the variables we know:
F = 230.4 N
v = 80 km/h
m = 40 kg
k = 230.4/(40 * 80^2) = 0.0009
Now we can write for the formula
F = 0.0009*m*v²
Lets find F if we know that v = 80 km/h and v = 60 kg
F = 0.0009*60*80^2 = 345.6 N
The passenger will experience centrifugal force of 345.6 N.