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Physics / Physics: Principles with Applications 6 / Chapter 5 / Problem 36P

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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(II) A certain neutron star has five times the mass of our Sun packed into a sphere

Chapter 5, Problem 36P

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QUESTION:

Problem 36P

(II) A certain neutron star has five times the mass of our Sun packed into a sphere about 10 km in radius. Estimate the surface gravity on this monster.

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QUESTION:

Problem 36P

(II) A certain neutron star has five times the mass of our Sun packed into a sphere about 10 km in radius. Estimate the surface gravity on this monster.

ANSWER:

Solution 36P

Step 1 of 2

We have to estimate the acceleration due to gravity on the surface of a neutron star.

The acceleration due to gravity at a distance $r$ above the surface from the centre of a star is given by the expression,

$g=\frac{G\ {M}_{neutron}}{{r}^{2}}$

Where,

$G=$ Universal gravitational constant

$=$ $6.67\times{}1{0}^{-11}$ N $\cdot{}$ m2/kg2

${M}_{neutron}$ = Mass of neutron star in kg

$r=$ distance from the centre of the neutron star

and the point outside the neutron’s surface
where $g$ is to be found in m

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