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# Neutron stars, such as the one at the center of the Crab

ISBN: 9780321675460 31

## Solution for problem 41P Chapter 13

University Physics | 13th Edition

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Problem 41P

Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but have a ?much smaller diameter. If you weigh 675 N on the earth, what would you weigh at the surface of a neutron star that has the same mass as our sun and a diameter of 20 km?

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Solution 41P The expression for acceleration due to gravity on the surface of a planet / star is given by, g = GM p …..(1), where M is the mass of the planet, r is the radius of the planet and G is the p r p2 p p gravitational constant. Given, your weight on the earth W = 675 N Your mass = 675/9.8 kg = 68.9 kg The mass of the neutron star M n = M =s1.99 × 10 30 kg Diameter of the star = 20 km 4 Its radius r n 10 km = 10 m G...

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