Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter.Part AIf yo

Question

Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter.Part AIf you weigh 685 N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 24.0 km ?Take the mass of the sun to be ms = 1.99×1030 kg , the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , and the free-fall acceleration at the earth’s surface to be g = 9.8 m/s2 .Express your weight wstar in newtons.View Available Hint(s)wstar =nothingN

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Thanh Thu 6 months 2021-08-02T21:25:40+00:00 1 Answers 27 views 0

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    2021-08-02T21:27:00+00:00

    Answer:

    Explanation:

    Given that,

    A person weight on earth is

    W = 685N

    Weight is not constant it varies due to gravity, but mass is constant, let find the person mass in earth

    Weight is given as

    W = mg

    Then, m = W / g

    Given that gravity (g) on earth is 9.8m/s²

    Then, m = 685 / 9.8

    m = 69.9 kg

    The mass of the person on earth is 69.9 kg and it is constant everywhere on the planet

    We want to find the weight of the person on a neutron star

    Then, we need to know the acceleration due to gravity on a neutron star

    The local acceleration due to gravity near a body of mass M

    is given by the formula:

    g = GM / R²

    Given that,

    G = 6.67 × 10^-11 Nm²/kg²

    M = 1.99 × 10^30 kg

    Diameter = 24km = 24,000m

    Then, radius = D/2

    R = 24,000 / 2

    R = 12,000

    So,

    g = GM / R²

    g = 6.67 × 10^-11 × 1.99 × 10^30 / 12000²

    g = 9.218 × 10¹¹ m/s²

    Then, it weights on neutron star is

    W = mg

    W = 69.9 × 9.218 × 10¹¹

    W = 6.443 × 10¹³ N

    Wow, this is a very risky place to go.

    This is over 10¹¹ times your weight on earth! You probably shouldn’t venture there.

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