To find the net force acting on the car as it moves around the track, we can calculate the centripetal force required to keep it in circular motion. The formula for centripetal force ((F_c)) is (F_c = \frac{mv^2}{r}), where (m) is the mass, (v) is the speed, and (r) is the radius. For the inner curve with a radius of 50m, the centripetal force is (F_c = \frac{1000 , \text{kg} \times (20 , \text{m/s})^2}{50 , \text{m}} = 8000 , \text{N}). For the outer curve with a radius of 100m, it would be (F_c = \frac{1000 , \text{kg} \times (20 , \text{m/s})^2}{100 , \text{m}} = 4000 , \text{N}). Thus, the net force varies depending on the radius of the curve the car is on.
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