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

Answer:

$F=2.93\cdot 10^{-10}~N$

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:

$\mathbf{F=2.93\cdot 10^{-10}~N}$

Answer 2

Answer:

D. 2.93 x 10-10 N​

Explanation:

Answer got deleted? Dont delete my answer 'katie'

btw got it right