How would the attractive force between two spheres change if the mass of one sphere was doubled?
1 answer:
The force of attraction between two objects can be illustrated using Newton's Law of Universal Gravitation.
The relation between the different parameters is shown in the attached image.
Now, from the relation, we can deduce that the force between the two objects is directly proportional to the masses of the two objects.
This means that, if the mass of one object is doubled, then the force between the two objects will also be doubled.
The relation between the different parameters is shown in the attached image.
Now, from the relation, we can deduce that the force between the two objects is directly proportional to the masses of the two objects.
This means that, if the mass of one object is doubled, then the force between the two objects will also be doubled.
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Answer:
There are two possible solutions.
M1 = 4.68*10^30kg, M2 = 5.53*10^30kg
M1 = 5.53*10^30kg, M2 = 4.7*10^29kg
Explanation:
In order to find the mass of each black hole, you take into account the gravitational force between them and the sum of their masses.
You use the formula for the gravitational force between two masses:
(1)
G: Cavendish's constant = 6.674*10^-11 m^3/kg.s^2
M1, M2: mass of each black hole = ?
r: distance between the black holes = 10.0 AU = 10.0(1.50*10^11m) = 1.5*10^12m
Fg: gravitational force between the black holes = 7.70*10^25N
Furthermore, you take into account that the sum of the masses M1 and M2 is:
M1 + M2 = 6.00*10^30 kg (2)
You solve the equation (2) for M2.
Next, you replace the obtained expression for M2 into the equation (1) and solve for M1, as follow (for simplicity, you do not add the units):
Then, you have obtained a quadratic polynomial. You solve it with the quadratic formula:
Both results are consistent, then the mass of one black hole can be 4.68*10^30kg and also 5.53*10^30kg.
The other black hole has a mass of:
Hence, you have a pair of solutions:
M1 = 4.68*10^30kg, M2 = 5.53*10^30kg
M1 = 5.53*10^30kg, M2 = 4.7*10^29kg
Answer:
Explanation:
The string theory is a theoretical concept, the very small particles of particle physics are rep[laced by strings. This theory also applies to black hole physics, nuclear physics, cosmology etc.
According to string theory, six space-time dimensions cannot be measured except as quantum numbers of internal particle properties because they are curled up in size of the order of .
The length of the scale is assumed to be on the order of . Hence, the correct option is (a).