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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An exoplanet has twice the mass and half the radius of the Earth. Find the acceleration due to gravity on its surface, in terms of g, the acceleration of gravity at Earth’s surface, (a) g (b) 0.5g (c) 2g (d) 4g (e) 8g.

To determine

The acceleration due to gravity on the surface of the exoplanet.

Explanation

Given info: Radius of the exoplanet is half of the radius of the Earth. Mass of the exoplanet is twice the mass of Earth.

The formula for the acceleration due to gravity on the exoplanet is,

gp=Gmprp2

  • G is the gravitational constant.
  • mp is the mass of the exoplanet.
  • rp is the radius of the exoplanet.

The formula for acceleration due to gravity on earth is,

g=Gmere2

  • G is the gravitational constant.
  • me is the mass of earth.
  • re is the radius of earth.

Conclusion:

The mass of the exoplanet is,

mp=2me

  • me is the mass of earth.

The radius of the exoplanet is,

rp=re2

  • re is the radius of earth.

Substitute 2 me for mp and re2 for rp in the expression for acceleration due to gravity on the exoplanet

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