<u>Answer:</u> Below 12m of depth, the submarine has to submerge so that it would not be swayed by surface waves
<u>Explanation:</u>
To avoid the surface waves, a submarine has to submerge below the wave base. It is the position below which the motion of the waves is negligible.
This wave base is equal to half of the wavelength. The equation becomes:
Wave base = 
We are given:
Wavelength = 24 m
Putting values in above equation, we get:
Wave base = 
Hence, below 12m of depth, the submarine has to submerge so that it would not be swayed by surface waves
3.86 m/s^2 is the value of gravity on this large, but low-density, world.
given :
Kepler-12b
diameter= 1.7 times of Jupiter (R_Jupiter = 6.99 × 10^7 m),
mass = 0.43 Jupiter (M_Jupiter = 1.90 × 10^27 kg ).
g = GM/r^2
g = 6.67×10^-11 × 0.43×1.9×10^27/( 1.7×6.99×10^7)^2
g = 3.859 ~ 3.86 m/s^2
Gravity, also referred to as gravitation, is the unchanging force of attraction that binds all matter together in mechanics. It is by far the weakest known force in nature, so it has no effect on determining the internal properties of common matter.
On Earth, everything has weight, or a gravitational pull that is imposed by the planet's mass and proportional to the object's mass. A measure of the force of gravity is the acceleration that freely falling objects experience. At the surface of the Earth, gravity accelerates at a rate of about 9.8 meters per second. As a result, an object's speed increases during free fall by about 9.8 meters per second. At the Moon's surface, a freely falling body accelerates to about 1.6 m/s2.
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When the switch is open then no current can flow, on the other hand, when it is closed, current will pass through. When only “bulb a” is connected to the battery then more current is flowing to “bulb a” causing it to be bright. So the light of “bulb a” will be dimmer.
Answer:
he same direction the magnitude of the resultant is equal to the scalar sum of the magnitude of the forces, but if they are applied in different directions the magnitude must be found using the Pythagorean theorem
Explanation:
When there are several applied forces, if they are all in the same direction the magnitude of the resultant is equal to the scalar sum of the magnitude of the forces, but if they are applied in different directions the magnitude must be found using the Pythagorean theorem, so which the resulting dowry is less than the sum of the magnitudes.
Let's carry out an example with two forces, F1 and F2 of equal magnitudes
if they are in the same direction
F_total = F₁ + F₂ = 2 F
if they are at 90º
F_total = 
if they are at 180º
F_total = F₁ -F₂ = 0
The size of the resultant is given by using pythagoras:
C^2 = A^2 + B^2
Since the 30N force and the 40N force act perpendicular to one another.
So: C = sqrt[(30)^2 + (40)^2]
C = 50N and, therefore, may be represented using 5cm
Since all we have as reference are the 2 initially given forces, let's use the angle between the resultant force and one of them to determine the resultants direction:
Taking the 40N force as a baseline (you can imagine it being horizontal).
Since the 40N force is a horizontal projection of the 50N resultant force:
40N = 50N*cos(theta) ; where theta is the angle formed between them
Theta is approximately 36,87° and that is the direction of the resultant force taken with the 40N forces direction as reference.
You can also graphically establish this direction by simply drawing the lines in scale on a piece of paper.
