Question

A model A Ford has a mass of the frame/body and driver of 825 kg. Each wheel has a mass of 15 kg and a radius of 33.0 cm. What is the kinetic energy of the total car traveling at 95 km/hr? hint: each wheel can be modeled as a hoop of radius 33.0 cm

Answer 1

here,

speed of car , v = 95 km/hr = 26.39 m/s

mass of each wheel , m= 15 kg

mass of car , M = 825 kg

radius , r = 33 cm = 0.33 m

the kinetic energy of the total car traveling , KE = rotational kinetic energy + translational kinetic energy

KE = 4 * 0.5 * I * w^2 + 0.5 * M * v^2

KE = 4 * 0.5 * (m * r^2 ) * ( v/r)^2 + 0.5 * M * v^2

KE = 4 * 0.5 * (15) * ( 26.39)^2 + 0.5 * 825 * 26.39^2

KE = 3.08 * 10^5 J

the kinetic energy of the total car traveling is 3.08 * 10^5 J