18 A NASA satellite has just observed an asteroid thatis on a collision course with the Earth. The asteroidhas an estimated mass, based on its size, of5 × 10⁹ kg. It is approaching the Earth on a head-oncourse with a velocity of 660 m/s relative to theEarth and is now 4.0×106 km away.▼Part AWith what speed will it hit the Earth's surface,neglecting friction with the atmosphere?Express your answer using two significantfigures.

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Physics

With what speed will it hit the Earth's surface, neglecting friction with the atmosphere?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.62P

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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

A NASA satellite has just observed an asteroid that
is on a collision course with the Earth. The asteroid
has an estimated mass, based on its size, of
5 × 10⁹ kg. It is approaching the Earth on a head-on
course with a velocity of 660 m/s relative to the
Earth and is now 4.0×106 km away.
▼
Part A
With what speed will it hit the Earth's surface,
neglecting friction with the atmosphere?
Express your answer using two significant
figures.

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