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Civil Engineering QUESTION #6567
Question 1
An automobile weighing \(10{,}000\,\text{N}\) travels down a \(5°\) incline at \(90\,\text{km/hr}\). The kinetic energy of the automobile at its initial position is:
  • 318.55 kN·m✔️
  • 553.18 kN·m
  • 813.55 kN·m
  • 855.13 kN·m
Correct Answer Explanation
Mass \(m = \frac{10000}{9.81} \approx 1019.4\,\text{kg}\). Speed \(v = 90\,\text{km/hr} = 25\,\text{m/s}\). \(KE = \frac{1}{2}mv^2 = \frac{1}{2}(1019.4)(25)^2 \approx 318{,}500\,\text{N·m} = 318.55\,\text{kN·m}\).