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A city planner is working on the redesign of a hilly
Chapter 4, Problem 71(choose chapter or problem)
A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even low-powered cars can get up the hills without slowing down. A particular small car, with a mass of 920 kg, can accelerate on a level road from rest to in 12.5 s. Using these data, calculate the maximum steepness of a hill.
Questions & Answers
QUESTION:
A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even low-powered cars can get up the hills without slowing down. A particular small car, with a mass of 920 kg, can accelerate on a level road from rest to in 12.5 s. Using these data, calculate the maximum steepness of a hill.
ANSWER:Problem 71
A city planner is working on the redesign of a hilly portion of a city. An important consideration is how steep the roads can be so that even low-powered cars can get up the hills without slowing down. A particular small car, with a mass of 920 kg, can accelerate on a level road from rest to 21 m/s (75 km/h) in 12.5 s. Using these data, calculate the maximum steepness of a hill.
Step by Step Solution
Step 1 of 3
Free body diagram of car:
Free body equation for car:
Here, is the acceleration due to gravity, is the acceleration of the car, and is the steepness of a hill.