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Answer :
Final answer:
To find the force the tires apply to the road to accelerate the truck, you can use Newton's second law of motion. The force is closest to option d) 13,864 N.
Explanation:
To find the force the tires apply to the road to accelerate the truck, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. First, calculate the change in velocity by subtracting the initial velocity from the final velocity: 17.9 m/s - 8.2 m/s = 9.7 m/s. Then, divide the change in velocity by the time taken to accelerate: 9.7 m/s / 4.7 s = 2.064 m/s². Finally, multiply the mass of the truck by the acceleration to find the force: 2,172 kg * 2.064 m/s² = 4,482.528 N. Therefore, the force the tires apply to the road is 4,482.528 N, which is closest to option d) 13,864 N.
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