The largest mass is 4.7 x 10³⁰ kg and the smallest mass is 5 x 10²⁹ kg.
The given parameters;
- <em>distance between the two black holes, r = 10 AU = 1.5 x 10¹² m</em>
- <em>gravitational force between the two black holes, F = 6.9 x 10²⁵ N.</em>
- <em>combined mass of the two black holes = 5.20 x 10³⁰ kg</em>
The product of the two masses is calculated from Newton's law of universal gravitational as follows;
The sum of the two masses is given as;
m₁ + m₂ = 5.2 x 10³⁰ kg
m₂ = 5.2 x 10³⁰ kg - m₁
The first mass is calculated as follows;
m₁(5.2 x 10³⁰ - m₁) = 2.328 x 10⁶⁰
5.2 x 10³⁰m₁ - m₁² = 2.328 x 10⁶⁰
m₁² - 5.2 x 10³⁰m₁ + 2.328 x 10⁶⁰ = 0
<em>solve the quadratic equation using formula method</em>;
a = 1, b =- 5.2 x 10³⁰, c = 2.328 x 10⁶⁰
The second mass is calculated as follows;
m₂ = 5.2 x 10³⁰ kg - m₁
m₂ = 5.2 x 10³⁰ kg - 4.7 x 10³⁰ kg
m₂ = 5 x 10²⁹ kg
or
m₂ = 5.2 x 10³⁰ kg - 4.9 x 10²⁹ kg
m₂ = 4.7 x 10³⁰ kg
Thus, the largest mass is 4.7 x 10³⁰ kg and the smallest mass is 5 x 10²⁹ kg.
Learn more here:brainly.com/question/9373839
X-rays have the shortest wavelength of any waves on that particular list.
Gamma ray waves are shorter than X-rays, but they're not on that list.
Answer:
a) least mass
Explanation:
According to the Newton's first law of motion, more the mass of a body the greater is its inertia, and inertia is the tendency of a body to resist any change to its state of rest or uniform motion.
Greater is the mass of charge least is its deflection under the influence of magnetic field.
<em>This can be explained well by the mathematical equations relating the </em><em>centripetal force and the magnetic force</em><em> on a charged mass moving in a magnetic field perpendicular to the velocity:</em>
where:
m = mass of the charged particle
v = velocity of projection of the charged mass into the magnetic field
r = radius of curvature of path of charged mass under the magnetic force
q = magnitude of charge on the particle of mass 'm'
B = intensity of magnetic field normal to 'v'
i.e.
- Speed of the charge is higher when its mass is lesser and according to the Fleming's left hand rule we known that the charge continuously faces a magnetic force while moving in the field.
& also,
- Which indicates that more is the mass of charge larger is the radius of its trajectory of motion which means lesser is its deviation.
By Newton's second law, the car slows down with an average acceleration a such that
-7100 N = (1500 kg) a ⇒ a ≈ -4.7 m/s²
If we treat the car as accelerating uniformly with this magnitude, then the car slides a distance ∆x such that
0² - (25 m/s)² = 2a ∆x ⇒ ∆x ≈ 66 m
