Question

Question 3 1 pts What is the gravitational force of attraction between a mountain of mass 32 thousand tons and a person of mass 74 kg, if their center of masses are 6 m apart. Write your answer in milli-newtons. Question 4 1 pts Three galaxies, each of mass M=9109 kg. lie in a plane at the corners of an equilateral triangle with sides of 8' 104mlength. The magnitude of the force the other two galaxies exert on each galaxy is: (write your answer in terms of Ax 104 newtons, and then input only the 'A')) Question 5 1 pts What is the magnitude of the free-fall acceleration at a point that is a distance 9.3R above the surface of the Earth, where is the radius of the Earth? 0.113

If you are able to answer the questions, I will give a great rating!

Thank You

Answer 1

QUESTION 3:

Use equation:

F = GMm/R²

F = (6.67 x 10^-11 * 32000 x 10³ kg * 74 kg) / (6 m)²

F = 5.929 x 10^-5 N

F = 0.0593 mN

• Answer = 0.0593 mN

------------------------------------------------------------------------

QUESTION 4:

Gravitational force between each masses:

F = G.M.M/R²

F = GM²/R²

Substitute given values:

F = 8.4417 x 10²⁷ N

Net force on the third galaxy will be:

F_net = sqrt (2F² (1+cos 60)

Therefore, F_net = 14.62 x 10²⁷ N

• Answer = 14.62 x 10²⁷ N
• Insert, A = 14.62

------------------------------------------------------------------------

QUESTION 5:

g_h = g [ R ^ 2 / ( R + h ) ^2]

h = 9.3R

g_h = g [ R ^ 2 / ( R + 9.3 R ) ^2]​​​​​​​

g_h = g (1/106.09) = 0.0924 m/s²

• Answer = 0.0924 m/s²