A group of engineering students constructs a sun-powered car and tests it on a circular track with a 1000-ft radius. The car, with a weight of 460 lb including its occupant, starts from rest. The total tangential component of force on the car is
∑Ft, = 30 – 0.2s lb,
where s is the distance (in ft) the car travels along the track from the position where it starts.
(a) Determine the work done on the car when it has gone a distance s = 120 ft.
(b) Determine the magnitude of the total horizontal force exerted on the car’s tires by the road when it is at the position s = 120 ft.
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