If the gravitational force on you is 670N on the earth, how strong is the gravitational force on you on the surface of a neutron star that has the same mass as our sun and a diameter of 20.0km ?

Take the mass of the sun to be ms = 1.99×1030kg , the gravitational constant to be G = 6.67×10−11N⋅m2/kg2 , and the acceleration due to gravity at the earth's surface to be g = 9.810m/s2 .

9.34*10^13

To determine the gravitational force on you on the surface of a neutron star, we need to use the formula for gravitational force:

F = (G * m1 * m2) / r^2

Where:
F is the gravitational force
G is the gravitational constant (6.67×10−11N⋅m²/kg²)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects

In this case, we are trying to find the gravitational force on you, so m1 will be your mass, and m2 will be the mass of the neutron star (equivalent to the mass of the sun).

Given:
Mass of the Sun (ms) = 1.99×10^30 kg
Gravitational constant (G) = 6.67×10^−11 N⋅m²/kg²
Acceleration due to gravity at Earth's surface (g) = 9.81 m/s²

To determine your mass, we need to know your weight on Earth. Since weight is the force due to gravity acting on an object's mass, we can use this formula:

W = m * g

Where:
W is the weight of the object
m is the mass of the object
g is the acceleration due to gravity

Given:
Weight on Earth = 670 N
Acceleration due to gravity at Earth (g) = 9.81 m/s²

Using the formula W = m * g, we can rearrange it to solve for mass (m):

m = W / g

Substituting the given values, we have:

m = 670 N / 9.81 m/s²

Now we can calculate your mass.

Next, we need to find the gravitational force on the surface of the neutron star. The radius of the neutron star is given as 20.0 km. However, we need to convert the radius to meters:

r = 20.0 km * 1000 m/km = 20,000 m

Now we can calculate the gravitational force (F) on the surface of the neutron star using the formula:

F = (G * m1 * m2) / r^2

Substituting the given values:

F = (6.67×10^−11 N⋅m²/kg² * your mass * mass of the neutron star) / (20,000 m)^2

Finally, you can substitute the calculated value of your mass and the given mass of the neutron star into this equation to find the gravitational force on you on the surface of the neutron star.