Question

Two asteroids with masses 5.34 x 103 kg and 2.06 x 104 kg are separated by a distance of 5,000 m. What is the gravitational force between the asteroids? Newton's law of gravitation is F gravity Gmim. The gravitational constant Gis 6.67 x 10-11 N-m²/kg2. A. 400N B. 1.24 x 1032 N C. 1.47 x 10-6 N D. 2.93 x 10-10 N​

Answer 1

D. 2.93 x 10-10 N​

Step-by-step explanation:

Answer got deleted? Dont delete my answer 'katie'

btw got it right

Answer 2

`F=2.93\cdot 10^(-10)~N`

Step-by-step explanation:

Newton’s Law of Universal Gravitation

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.

`\displaystyle F=G{\frac {m_(1)m_(2)}{r^(2)}}`

Where:

m1 = mass of object 1

m2 = mass of object 2

r = distance between the objects' center of masses

G = gravitational constant:
`6.67\cdot 10^(-11)~Nw*m^2/Kg^2`

The asteroids have masses of
`m1=5.34\cdot 10^(3)~Kg` and
`m2=2.06\cdot 10^(4)~Kg` and are separated by r=5,000 m.

Calculating the gravitational force:

`\displaystyle F=6.67\cdot 10^(-11)~Nw*m^2/Kg^2~{\frac {5.34\cdot 10^(3)~Kg \cdot2.06\cdot 10^(4)~Kg}{5,000^(2)}}`

Calculating:

`\mathbf{F=2.93\cdot 10^(-10)~N}`