The rolling resistance of a car depends on its weight as: F = 0.006 mg. How long will a car of 1400 kg drive for a work input of 25 kJ?
Work is force times distance so assuming a constant force we get
W = ∫F dx = F x = 0.006 mgx
Solve for x
x = W/0.006 mg
= 25 kJ/0.006 x 1400 kg x 9.807 m/s2 = 303.5 m
