If Earth had twice the mass it has now, how would the gravitational force between it and the Sun change?
1 answer:
Answer:
a)The gravitational force would be twice as much as it is now
Explanation:
If the earth had twice its mass as it is now, the gravitational force between the sun and the earth would be twice as much as it is now.
According to Newton's law of universal gravitation "the gravitational force of attraction between bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them".
F =
G is the universal gravitation constant
m is the mass
r is the distance
let mass of sun = s
mass of earth = e
new mass of sun = s
new mass of sun = 2e
input variables;
F = ------ i
F = ------- ii
From the second equation;
2F =
2F = F
Therefore, the force will double.
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Answer:
A volume of a cubic meter of water from the surface of the lake has been compressed in 0.004 cubic meters.
Explanation:
The bulk modulus is represented by the following differential equation:
Where:
- Bulk module, measured in pascals.
- Sample volume, measured in cubic meters.
- Local pressure, measured in pascals.
Now, let suppose that bulk remains constant, so that differential equation can be reduced into a first-order linear non-homogeneous differential equation with separable variables:
This resultant expression is solved by definite integration and algebraic handling:
The final volume is predicted by:
If ,
and
, then:
Change in volume due to increasure on pressure is:
A volume of a cubic meter of water from the surface of the lake has been compressed in 0.004 cubic meters.