The mass of a certain neutron star is 1 × 1031 kg (5 solar masses) and its radius is 5500 m.

What is the acceleration of gravity at the surface of this condensed, burned-out star? The value of the universal gravitational con- stant is 6.67 × 10−11 N · m2/kg2.
Answer in units of m/s2

To find the acceleration of gravity at the surface of a neutron star, we can use the formula for gravitational acceleration:

a = G * (m / r^2)

Where:
a is the acceleration of gravity,
G is the universal gravitational constant,
m is the mass of the neutron star, and
r is the radius of the neutron star.

Given:
Mass of the neutron star (m) = 1 × 10^31 kg
Universal gravitational constant (G) = 6.67 × 10^(-11) N · m^2/kg^2
Radius of the neutron star (r) = 5500 m

Substituting these values into the formula, we get:

a = (6.67 × 10^(-11) N · m^2/kg^2) * (1 × 10^31 kg) / (5500 m)^2

To simplify the calculation, let's perform each step separately:

1. Calculate the square of the radius:
(5500 m)^2 = 30,250,000 m^2

2. Multiply the mass of the neutron star by the universal gravitational constant:
(6.67 × 10^(-11) N · m^2/kg^2) * (1 × 10^31 kg) = 6.67 × 10^20 N · m

3. Divide the result obtained in step 2 by the square of the radius calculated in step 1:
(6.67 × 10^20 N · m) / 30,250,000 m^2 = 2.2 × 10^13 m/s^2

Therefore, the acceleration of gravity at the surface of this neutron star is approximately 2.2 × 10^13 m/s^2.