A common, though incorrect, statement is, "The Moon orbits the Earth." That creates an image of the Moon?s orbit that looks like
1 answer:
Answer:
= 4.6 10⁶ m
Explanation:
The definition of mass center is
= 1/M ∑ xi mi
Where M is the total mass, mi and xi the mass and position of each body
Let us apply this equation to our case, as they indicate that we take the center of reference to Earth, its distance is zero; let's write the data they give us
Earth
M = 6.00 10²⁴ kg
r1 = 0
Moon
m = 7.35 10²² kg
r = 3.80 10⁵ km (1000m / 1km) = 3.80 10⁸ m
Let's calculate
= 1 /(m + M) (0 + m r)
= m / (m + M) r
= 7.35 10²² / (7.35 10²² + 600 10²²) 3.80 10⁸
= 4.6 10⁶ m
You might be interested in
Answer:
q₁ = + 1.25 nC
Explanation:
Theory of electrical forces
Because the particle q₃ is close to two other electrically charged particles, it will experience two electrical forces and the solution of the problem is of a vector nature.
Known data
q₃=5 nC
q₂=- 3 nC
d₁₃= 2 cm
d₂₃ = 4 cm
Graphic attached
The directions of the individual forces exerted by q1 and q₂ on q₃ are shown in the attached figure.
For the net force on q3 to be zero F₁₃ and F₂₃ must have the same magnitude and opposite direction, So, the charge q₁ must be positive(q₁+).
The force (F₁₃) of q₁ on q₃ is repulsive because the charges have equal signs ,then. F₁₃ is directed to the left (-x).
The force (F₂₃) of q₂ on q₃ is attractive because the charges have opposite signs. F₂₃ is directed to the right (+x)
Calculation of q1
F₁₃ = F₂₃
We divide by (k * q3) on both sides of the equation
q₁ = + 1.25 nC
