The car starts from rest and accelerates according to the relationship 0.001V2 + a - 3 = 0 It travels around a circular track that has a radius of 300 meters. Calculate the velocity of the car after it has travelled halfway around the track. What is the car's maximum possible speed?

The car starts from rest and accelerates according to the relationship 0.001V2 + a - 3 = 0 It travels around a circular track that has a radius of 300 meters. Calculate the velocity of the car after it has travelled halfway around the track. What is the car's maximum possible speed?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 42P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

The car starts from rest and accelerates according to
the relationship
0.001V2 + a - 3 = 0
It travels around a circular track that has a radius of 300
meters. Calculate the velocity of the car after it has travelled
halfway around the track. What is the car's maximum
possible speed?

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