What is the magnitude of the gravitational field at the surface of a neutron star whose mass is 1.60 times the mass of the Sun and whose radius is 10.5 km?
What is wrong with using Newton's Gravitational equation?
graviatational field g= G Ms*1.60/(10.5E3)^2
mass of the sun is 1.99E30 kg.
so the mass of the neutron star is 3.184E30 kg.
i solved for g using g=GM/R^2
what is s?
i solved for g using my equation and got 1.93E18 m/s^2. is that right?
The "s" is meant to be a subscript to M, representing the mass of the sun.
It looks like you did it correctly.
To calculate the magnitude of the gravitational field at the surface of a neutron star, you can use Newton's law of gravitation. The formula is:
g = (G * M) / r^2
where:
g is the magnitude of the gravitational field
G is the gravitational constant (6.67430 × 10^-11 N m^2/kg^2)
M is the mass of the neutron star
r is the radius of the neutron star
In this case, M = 1.60 times the mass of the Sun, and r = 10.5 km. We need to convert the units to make them compatible, so we'll convert the mass of the Sun to kilograms and the radius to meters.
1. Convert the mass of the Sun:
Given that the mass of the Sun is approximately 1.989 × 10^30 kg, we can calculate the mass of the neutron star:
Mass of the neutron star = 1.60 * Mass of the Sun
= 1.60 * (1.989 × 10^30 kg)
2. Convert the radius:
Given that the radius of the neutron star is 10.5 km, we can convert it to meters:
Radius = 10.5 km * 1000 m/km
Now we have all the values needed to calculate the magnitude of the gravitational field:
g = (G * M) / r^2
Substitute the values into the formula and solve for g.