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 yo

Question

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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Eirian 5 months 2021-08-23T12:22:09+00:00 1 Answers 38 views 0

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    2021-08-23T12:23:29+00:00

    Answer:

    Wn = 9.14 x 10¹⁷ N

    Explanation:

    First we need to find our mass. For this purpose we use the following formula:

    W = mg

    m = W/g

    where,

    W = Weight = 675 N

    g = Acceleration due to gravity on Surface of Earth = 9.8 m/s²

    m = Mass = ?

    Therefore,

    m = (675 N)/(9.8 m/s²)

    m = 68.88 kg

    Now, we need to find the value of acceleration due to gravity on the surface of Neutron Star. For this purpose we use the following formula:

    gn = (G)(Mn)/(Rn)²

    where,

    gn = acceleration due to gravity on surface of neutron star = ?

    G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

    Mn = Mass of Neutron Star = Mass of Sun = 1.99 x 10³⁰ kg

    Rn = Radius of neutron Star = 20 km/2 = 10 km = 10000 m

    Therefore,

    gn = (6.67 x 10⁻¹¹ N.m²/kg²)(1.99 x 10³⁰ kg)/(10000)

    gn = 13.27 x 10¹⁵ m/s²

    Now, my weight on neutron star will be:

    Wn = m(gn)

    Wn = (68.88)(13.27 x 10¹⁵ m/s²)

    Wn = 9.14 x 10¹⁷ N

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