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A 2,167 kg truck accelerates from 9.4 m/s to 11.2 m/s in 6.2 seconds. What is the force the tires apply to the road to accelerate the truck

A. 6,366 N
B. 7,453 N
C. 2,298 N
D. 3,885 N

User Shanda
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1 Answer

2 votes

Final answer:

The force needed is calculated using Newton's second law of motion and the given acceleration. After calculations, the resultant force is 628.43 N, which does not match any of the provided options, indicating a potential miscalculation or typo in the question or options.

Step-by-step explanation:

The student is asking for the force required to accelerate a 2,167 kg truck from 9.4 m/s to 11.2 m/s in 6.2 seconds. To solve this, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). First, we need to calculate the acceleration using the formula a = (v_f - v_i) / t, where v_f is the final velocity, v_i is the initial velocity, and t is the time. The truck's acceleration is a = (11.2 m/s - 9.4 m/s) / 6.2 s = 0.29 m/s². Now, using the formula for force, we get F = 2167 kg * 0.29 m/s² = 628.43 N. This result does not match any of the options provided, which suggests there might be a miscalculation or typo in the question or options.

User Emma Perkins
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