Answer:
a) [tex]F_a=0.152 \mu N[/tex]
b) [tex]F_b=203.182 \mu N[/tex]
Explanation:
The center of mass of an homogeneous sphere is its center, therefore you can use Newton's universal law of gravitation to find both questions.
[tex]F_g=G\frac{m_1m_2}{d}[/tex]
[tex]G=6.674*10^{-11} NmKg^{-2}[/tex]
a) d = 19m
[tex]F_a = G\frac{8.4*10^{4}*9.8}{19^2}[/tex]
[tex]F_a=0.152 \mu N[/tex]
b) d = 0.52
[tex]F_b = G\frac{8.4*10^{4}*9.8}{0.52^2}[/tex]
[tex]F_b=203.182 \mu N[/tex]
Answer:
(a) GF = 1.522 x (10 ^ -7) N
(b) GF = 2.032 x (10 ^ -4) N
Explanation:
The magnitude of the gravitational force follows this equation :
GF = (G x m1 x m2) / (d ^ 2)
Where G is the gravitational constant universal.
G = 6.674 x (10 ^ -11).{[N.(m^ 2)] / (Kg ^ 2)}
m1 is the mass from the first body
m2 is the mass from the second body
And d is the distance between each center of mass
m2 is a particle so m2 it is a center of mass itself
The center of mass from the sphere is in it center because the sphere has uniform density
For (a) d = 19 m
GF = {6.674 x (10 ^ -11).{[N.(m ^ 2)] / (Kg ^ 2)} x 8.4 x (10 ^ 4) Kg x 9.8 Kg} / [(19 m)^ 2]
GF = 1.522 x (10 ^ -7) N
For (b) d = 0.52 m
GF = 2.032 x (10 ^ -4) N
Notice that we have got all the data in congruent units
Also notice that the force in (b) is bigger than the force in (a) because the distance is shorter
