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Accelerating a 1200-kg Toyota

publish date: 2023/02/16 11:38:00 GMT+11

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Suppose one wishes to accelerate a 1200-kg Toyota from 10 m/s (which is about 20 mi/hr) to 30 m/s (about 60 mi/hr) in 8 seconds. What force would be required?

Express the answer in N

Missing Word

Correct Answer

3000

Explanation

To solve the problem, work through these steps

  1. Calculate the acceleration involved in changing the speed from 10 m/s to 30 m/s in 8 seconds
    • a = \(\frac{v_1 - v_0}{t}\) = \(\frac{30 - 10}{8}\) = 2.5 m/s2
  2. Use the formula F = ma to find the force required to accelerate a 1200-kg object at that rate
    • F = 1200 * 2.5 = 300 N

Reference

Basic Physics: A Self-Teaching Guide

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