Planet Geos in orbit a distance of 1 A.U. (astronomical unit) from the star Astra has an orbital period of 1 "year." If planet Logos is 4 A.U. from Astra, how long does Logos require for a complete orbit?
TB = <span>8</span> years
Answer:
See the anwers below
Explanation:
To solve this problem we must understand that the weight of any![W = 0.1*10\\W = 1 [N]](https://tex.z-dn.net/?f=W%20%3D%200.1%2A10%5C%5CW%20%3D%201%20%5BN%5D)
body is defined as the product of mass by gravitational acceleration. Gravitational acceleration depends on the place in space where a certain body is located.
where:
W = weight [N]
m = mass = 100 [g] = 0.1 [kg]
g = gravity acceleration [m/s²] or [N/kg]
<u>Now for the Earth</u>
<u />![W =m*g\\W =0.1*10\\W = 1[N]](https://tex.z-dn.net/?f=W%20%3Dm%2Ag%5C%5CW%20%3D0.1%2A10%5C%5CW%20%3D%201%5BN%5D)
<u />
<u>For the Moon</u>
<u />![W = m*g\\W =0.1*1.6\\W = 0.16 [N]](https://tex.z-dn.net/?f=W%20%3D%20m%2Ag%5C%5CW%20%3D0.1%2A1.6%5C%5CW%20%3D%200.16%20%5BN%5D)
<u />
Answer:
x = A cos wt
Explanation:
To determine the position we are going to solve Newton's second law
F = m a
Spring complies with Hooke's law
F = -k x
And the acceleration of defined by
a = d²x / dt²
We substitute
- k x = m d²x / dt²
dx² / dt² + k/m x = 0
Let's call
w² = k / m
The solution to this type of differential equation is
x = A cos (wt + Ф)
Where A is the initial block displacement and the phase angle fi is determined by or some other initial condition.
In this case the body is released so that at the initial speed it is zero
From which we derive this expression
v = dx / dt = a w sin ( wt + Ф)
As the System is released for t = 0 the speed is v = 0
v = sin Ф = 0
Therefore Ф = 0
And the equation of motion is
x = A cos wt
Answer:
Sure, the frequency is 500Hz
Explanation:
Sure, the frequency can be calculated. The needed information which is the speed and wavelength of the wave are known.
Wavelength is the distance between two successive crest and trough of a wave.
Using the relationship
V = fλ
V is the speed of wave
F is the frequency
λ is the wavelength
f = v/λ
Given v = 100m/s, λ = 10cm/0.5 = 20cm
20cm = 0.2m
f = 100/0.2
f = 500Hertz
Answer:
Gravitational force is the force of attraction on a body by earth. Example - Leaves and fruits fall from a tree downwards towards the ground due to the gravitational pull. ... T-shirt for is basically the force Of attraction On a body And this force of attraction on the body is by Earth.
Intermolecular forces act between molecules. ... Intermolecular forces are weaker than intramolecular forces. Examples of intermolecular forces include the London dispersion force, dipole-dipole interaction, ion-dipole interaction, and van der Waals forces.
Explanation:
