On the coordinate plane below, draw the vector that goes from (0,0) to (2,3)
1 answer:
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Answer:
b. Jupiter’s greater gravity has compressed the layers, so they are closer together there.
Explanation:
The value for Jupiter mass is 1.8981×10²⁷kg, while the mass of Saturn is 5.6832×10²⁶kg, so the different layers of clouds in Jupiter will be submitted to a greater gravitational pull because it has a bigger mass, as is established in the law of universal gravitation:
(1)
Where m1 and m2 are the masses of two objects, G is the gravitational constant and r is the distance between the two objects.
As it can be seen in equation 1, the gravitational force is directly proportional to the product of the masses of the objects, so if the mass increase the gravitational force will do it too.
For the case of Saturn, it has a lower mass so its layers of clouds will suffer a weaker gravitational pull. That leads to the three clouds being more spacing that the ones of Jupiter.
We have that the spring constant is mathematically given as
Generally, the equation for angular velocity is mathematically given by
Where
k=spring constant
And
Therefore
Hence giving spring constant k
Generally
Mass of earth
Period for on complete resolution of Earth around the Sun
Therefore
In conclusion
The effective spring constant of this simple harmonic motion is
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Answer:
Explanation:
The period of a simple pendulum is given by:
where
L is the length of the pendulum
g is the acceleration of gravity
From this equation we can write
Taking the square of this equation, we get:
So we see that is proportional to L and inversely proportional to g. So, we can write:
So the only correct option is