A scooter, which together with its rider weighs 150 kg , is travelling at 36 km/hr . Determine the horizontal force on the scooter needed to successfully navigate a turn of radius 30 m .

Step-by-step solution

Mass of the scooter and rider, m = 150 kg Velocity of the scooter, v = 36 km/hr = 36 5 18 m/s = 10 m/s Radius of the turn, r = 30 m The horizontal force required to navigate the turn is the centripetal force, which is given by: F = mv^2 r Substituting the given values: F = 150 (10)^2 30 F = 150 100 30 = 500 N