Imagine an astronaut with a mass of 70 kg floating in space 10.0 m away from the center of gravity of an apollo command module whose mass is 6.00× kg determine the gravitational force acting on, and the resulting acceleration ( at that instant) of both the ship and person

The gravitational force between 2 objects is  G (M₁ x M₂) / R²

G = 6.67 x 10⁻¹¹ Nt-m² / kg²
M₁ = 70 kg 
M₂ = 6 x 10³ kg
R = 10

Force = (6.67 x 10⁻¹¹) (70) (6 x 10³) / (10)² = 2.8014 x 10⁻⁷ newton

The forces on the astronaut and on the module are equal.
That's the 'weight' of each one, in the presence of the other one.
(It's almost exactly 1 micro-ounce.)

Acceleration:  F = M A    ===>    A = F / M

Of the astronaut:

A = (2.8014 x 10⁻⁷) / 70 = 0.000 000 004 002 m/s²  (4.002 x 10⁻⁹ m/s²)

Of the command module:

A = (2.8014 x 10⁻⁷) / 6,000 = 0.000 000 000 04 669 m/s²  (4.669 x 10⁻¹¹ m/s²)

Aform of energy that is reflected or emitted from objects in the form of electrical and magnetic waves that can travel through space. there are many forms of  electromagnetic  energy including gamma rays, x rays, ultraviolet radiation, visible light, infrared radiation, microwaves and radio waves.