A flat race track viewed from above has curves with radii of 50m and 100m a car having a mass of 1000kg moves counter clock wise around the track at a constant speed of 20m per second what is the net?

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1169068

2026-05-20 04:10

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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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