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2 answers:
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The gravitational force between the two objects A) It increases.
Explanation:
The gravitational force between two objects is given by:
(1)
where
G is the gravitational constant
are the masses of the two objects
r is the separation between the objects
In this problem, object A and object B are initially at a distance of
r = 100 m
And at that distance, the force between them is
F
Later, object A gains some mass. We notice from eq.(1) that the gravitational force is directly proportional to the mass: therefore, if the mass of either of the two objects increases, then the gravitational force between them also increases. Therefore, the new force will be larger than the original force:
F' > F
Learn more about gravitational force:
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The De broglie wavelength of a thermal neutron at room temperature 300K = 1.5 × A°
<h3>How is the De broglie wavelength of a thermal neutron at room temperature calculated?</h3>
Temperature, T = 300K
Momentum, p = mv
Therefore v = p/m
Energy, E= 1/2 m( p/m) ²
Boltzman Energy= 3/2 KT
3/2KT = 1/2 m(p/m)²
Therefore p =
According to De broglie hypothesis, P = h ÷ λ
Therefore, λ = h ÷
= 6.6× ÷
= 0.15 ×
Therefore the De broglie wavelength of a thermal neutron at room temperature 300K = 1.5 × A°
To learn more about De broglie wavelength, refer: <u>https://brainly.in/question/6131028</u>
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Answer:
Approximately .
Explanation:
Let the increase in the rocket's velocity be . Let
represent the initial velocity of the rocket. Note that for this question, the exact value of
doesn't really matter.
The momentum of an object is equal to its mass times its velocity.
- Mass of the rocket with the 5 kg of fuel:
.
- Initial velocity of the rocket and the fuel:
.
- Hence the initial momentum of the rocket:
.
- Mass of the rocket without that 5 kg of fuel:
.
- Final velocity of the rocket:
.
- Hence the final momentum of the rocket:
.
- Mass of the 5 kg of fuel:
.
- Final velocity of the fuel:
(assuming that the the 500 m/s in the question takes the rocket as its reference.)
- Hence the final momentum of the fuel:
.
Momentum is conserved in an isolated system like the rocket and its fuel. That is:
Sum of initial momentum = Sum of final momentum.
.
Note that appears on both sides of the equation. These two terms could hence be eliminated.
.
.
Hence, the velocity of the rocket increased by around 2.5 m/s.