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Answer :
Final answer:
The magnitude of the resultant force on the race car and driver is 357.375 kN.
Explanation:
First, we need to find the centripetal acceleration of the race car traveling around the circular track. The centripetal acceleration can be found using the formula:
a = v² / r
where v is the velocity of the car and r is the radius of the circular track. Plugging in the values, we get:
a = (99 m/s)² / 52 m = 188.25 m/s²
Next, we can use Newton's second law of motion to find the magnitude of the resultant force acting on the car. The formula is:
F = m * a
where F is the force, m is the mass of the car, and a is the centripetal acceleration. Plugging in the values, we get:
F = (1900 kg) * (188.25 m/s²) = 357,375 N
Finally, we can convert the force to kilonewtons (kN) by dividing by 1000:
F = 357,375 N / 1000 = 357.375 kN
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