Answer:
A. 5.03 solar mass.
B. the masses of Star A and B are 1.01 solar mass and 4.02 solar mass respectively.
Explanation:
A. The sum of their two masses can be found using Kepler's third law:
[tex]\frac{P^{2}}{a^{3}} = \frac{4\pi^{2}}{G(m_{A} + m_{B})}[/tex]
Where:
P: is the period = 5 y = 1.58x10⁸ s
a: is the separation between the stars = 5 AU = 7.5x10¹¹ m
G: is the gravitational constant = 6.67x10⁻¹¹ m³kg⁻¹s⁻²
[tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the masses of Star A and Star B respectively.
[tex]m_{A} + m_{B} = \frac{4\pi^{2}a^{3}}{P^{2}G} = \frac{4\pi^{2}(5 AU*\frac{1.5\cdot 10^{11} m}{1 AU})^{3}}{(1.58 \cdot 10^{8} s)^{2}6.67 \cdot 10^{-11} m^{3}*kg^{-1}*s^{-2}} = 1.00 \cdot 10^{31} kg*\frac{1 M_{\bigodot}}{1.989\cdot 10^{30} kg} = 5.03 M_{\bigodot}[/tex]
Hence, the sum of their two masses is 5.03 solar mass.
B. Their individual masses can be found using the center of the mass equation:
[tex] a_{B} = (\frac{m_{A}}{m_{A} + m_{B}})a [/tex]
Where:
[tex]a_{B}[/tex] is the distance of Star B from the center of the mass
Since, [tex]a_{A}[/tex] is four times [tex]a_{B}[/tex] and a = 5 AU we have:
[tex] a_{A} = 4a_{B} [/tex]
[tex] a = a_{A} + a_{B} [/tex]
[tex] a_{B} = a - a_{A} = a - 4a_{B} \rightarrow a_{B} = \frac{a}{5} [/tex]
Then, their individual masses are:
[tex]\frac{a}{5} = (\frac{m_{A}}{5.03 M_{\bigodot}})a[/tex]
[tex]m_{A} = \frac{5.03 M_{\bigodot}}{5} = 1.01 M_{\bigodot}[/tex]
Now, the mass of Star B is:
[tex]m_{B} = m_{T} - m_{A} = 5.03 M_{\bigodot} - 1.01 M_{\bigodot} = 4.02 M_{\bigodot}[/tex]
Therefore, the masses of Star A and B are [tex]1.01 M_{\bigodot}[/tex] and [tex]4.02 M_{\bigodot}[/tex] respectively.
I hope it helps you!
if an object travels at constant speed in a circular path the acceleration of the object is
Answer:
centripetal and of constant magnitude
Explanation:
The acceleration of an object traveling on a circular path at constant speed is directed towards the center of the circle (centripetal) and of constant magnitude equal to the square of the object's speed divided by the radius of the circle.
Consider a one-dimensional crystal (similar to a carbon nanowire) with length 10 um and lattice spacing 0.1 nm.
RequireD:
a. What is the Fermi level assuming one electron per atom?
b. What is the density of states as a function of electron energy?
Answer:
a) Fermi level = 600 electron-volts
b) [tex]\frac{2.04 * 10^{13} }{\sqrt{E} }[/tex]
Explanation:
Given data:
length of one-dimensional crystal = 10 um
Lattice spacing = 0.1 nm
A) Determine the Fermi level assuming one electron per atom
Total length = 10 um
Interatomic separation of a = 0.1 nm
in this case the Atom has one electron therefore the number of electrons = 10^5 and the number of states Ns = gsN = 2 * 10^5 ( attached below is some part of the solution )
hence : Fermi level = 600 electron-volts
B) Determine the density of states as a function of electron energy
attached below is the detailed solution
The aurora borealis is caused by the ____.
A. mesosphere
B. stratosphere
c. thermosphere
D. troposphere
Answer: ionosphere
Explanation: aurora boreal is is caused by the ionosphere which is a part of the thermosphere
An object in motion, will tend to remain in motion until acted upon my an external, unbalanced force is defined to be
Answer:
The first law states that a body at rest will stay at rest until a net external force acts upon it and that a body in motion will remain in motion at a constant velocity until acted on by a net external force. Inertia is the tendency of a body in motion to remain in motion.
Explanation:
For an investigation a student records data about four unknown substances.
data, for, unknown, substances, substance, mass, grams, volume, centimeters, cubed, density, grams, per, centimeter, cubed, 1, 6.95, 4.0, 2, 4.54, 2.0, 3, 5.40, 3.0, 4, 10.35, 5.0,
The student then calculates the densities of the unknown substances and compares them with the table of densities of known substances shown below.
densities, of, some, known, substances, substance, density, grams, per, centimeter, cubed, calcium, 1.54, carbon, 2.27, magnesium, 1.74, phosphorus, 1.82, platinum, 21.46, sulfur, 2.07,
Which unknown substance is most likely carbon?
Answer:
omparing the values of the strung density, the one that is closest to carbon is number 2
Explanation:
In this exercise we are given the mass and volume of a body, we are asked to calculate the density, using the equation
ρ = m / V
in the third and fourth column of the table is the density and the substance with the closest value
# mass volume density material
(gr) (cm³) (gr/cm³)
1 6.95 4.0 1.74 magnesium
2 4.54 2.0 2.27 carbon
3 5.40 3.0 1.80 phosphorus
4 10.35 5.0 2.07 sulfur
When comparing the values of the strung density, the one that is closest to carbon is number 2
For the common-emitter, common-base and emitter-follower amplifier designs,what is the primary benefit of each amplifier?
Answer:
Explanation:
A common emitter amplifier works by inverting. It does have low input impedance. Despite its low input impedance, it poses an otherwise high output impedance.
The common base circuit performs optimally when it acts as a current buffer. It has the ability to take an input current at a low input impedance, and transmit almost the same current to an impedance with a higher output
The primary benefit of emitter follower amplifier is that the transistor is able to provide current and power gain. Although this transistor takes in little current from the input. It still provides an impedance with a low output to a circuit by exercising the output of the follower. This then translates to that the output under load not dropping.
As friction with our atmosphere causes a satellite to spiral inward, closer to Earth, its orbital speed increases. Why?
Answer:
Explanation:
When we go back and look at Kepler's third law. Kepler's third law states that "the square of the period is proportional to the cube of the semi-major axis of the orbit". P²µa³
where a is the semi-major axis of orbit,
P is the period of orbit
The orbit in question is the distance from the center of Earth. If the satellite spirals in as a result of air friction, then it decreases and, so does P.
Note that P = 2πa / V or Vµ1 / a0.5 .
From the formula, we can see that a decrease in the value of a, will lead to an Increase in the value of V.
A particular radiograph was produced using 6 mAs and 110 kVp with an 8:1 ratio grid. The radiograph is to be repeated using a 16:1 ratio grid. What should be the new mAs?
(A) 3 mAs
(B) 6 mAs
(C) 9 mAs
(D) 12 mAs
Answer:
(C) 9 mAs
Explanation:
The computation of the new mAs is shown below:
Let us assume the New mAs be x
For adjusting the factors of exposure basically we compared the old one with the new one i.e. presented below:
6 ÷ x = 4 ÷ 6
where
6 = old mAs
4 = old grid factor
x = new mas
6 = new grid factor
Now solve this above equation with the help of cross multiplication
4x = 36
x = 9 mAs
Here we used the 16:1 ratio grid
Hence, the correct option is C. 9 mAs
Which material will heat up the most quickly if placed near a heat source
Answer:
metal
Explanation:
metal heats up the fastest when near a hot source
6) There are two reactants in a chemical equation, and one product. The mass of the product is 40g. The mass of the first reactant is 16g. What must the mass of the second reactant be, if the equation is to follow the law of conservation of mass?
Answer:
24g
Explanation:
mass of the product is 40g.
The mass of the first reactant is 16g
The mass of the second reactant = ?
Let the first reactant = A
Let the second reactant = B
Let the product = C
Equation of reaction;
A + B → C
16g 40g
The mass of B must be = 40 -16 = 24g
A 0.208 kg particle with an initial velocity of 1.26 m/s is accelerated by a constant force of 0.766 N over a distance of 0.195 m. Use the concept of energy to determine the final velocity of the particle. (It is useful to double-check your answer by also solving the problem using Newton's Laws and the kinematic equations.)
Answer:
Explanation:
Initial kinetic energy of particle
= 1/2 m V²
= .5 x .208 x 1.26²
= .165 J
Work done by force = force x displacement
= .766 x .195
= .149 J
This energy will be added up .
Total final kinetic energy
= initial kinetic energy + work done on the particle
= .165 + .149 J
= .314 J .
In a liquid metal fast breeder reactor, no neutron moderation is desired and sodium is used as a coolant to minimize fission-neutron thermalization. How many elastic scatters with sodium, on the average, would it take for 2-MeV neutrons to reach an average thermal energy of 0.025 eV?
Answer:
219 scatterings
Explanation:
Given that:
The Coolant used In the liquid metal fast breed reactor = Sodium
The atomic weight (A) of sodium = 23
The initial energy [tex]E_{i}[/tex] = 2 - MeV
The final energy [tex]E_{f}[/tex] = 0.025 eV (thermal energy)
The number of elastic neutron scatterings (n) needed to reach the given average thermal energy can be computed as:
[tex]n = \dfrac{log \bigg(\dfrac{E_f}{E_i} \bigg)}{log \bigg [ \dfrac{A^2+1}{(A+1)^2} \bigg]}[/tex]
[tex]n = \dfrac{log \bigg(\dfrac{0.025}{2 \times 10^6} \bigg)}{log \bigg [ \dfrac{23^2+1}{(23+1)^2} \bigg]}[/tex]
[tex]n = \dfrac{log \bigg(1.25\times 10^{-8} \bigg)}{log \bigg [ 0.92014\bigg]}[/tex]
[tex]n = 218.643[/tex]
n ≅ 219 scatterings
Developing a question for appointments
Explanation:
how can I help you that?
A 5.0 kg hammer strikes a 0.25 kg nail with a force of 10.0 N causing the nail to accelerate at 40.0 m/s^2. What is the acceleration of the hammar?
Answer:
2 m/s².
Explanation:
The following data were obtained from the question:
Mass (m) of hammer = 5 Kg
Mass (m) of nail = 0.25 kg
Force (F) applied = 10 N
Acceleration (a) of nail = 40 m/s².
Acceleration (a) of hammer =?
From Newton's third law which states that to every action, there is an equal but opposite reaction. This implies that the force applied by the hammer on the nail is exactly the force applied by the nail on the hammer. Thus, we can obtain the acceleration of the hammer as follow:
Mass (m) of hammer = 5 Kg
Force (F) applied = 10 N
Acceleration (a) of hammer =?
F = ma
10 = 5 × a
Divide both side by 5
a = 10/5
a = 2 m/s²
Thus, the acceleration of the hammer is 2 m/s².
A 4.00-kg mass and a 9.00-kg mass are being held at rest against a compressed spring on a frictionless surface. When the masses are released, the 4.00-kg mass moves to the east with a speed of 2.00 m/s. What is the velocity of the 9.00-kg mass after the masses are released?
A) 0.500 m/s east
B) 0.500 m/s west
C) 4.50 m/s west
D) 0.888 m/s west
E) 2.00 m/s west
Answer:
B) 0.500 m/s West
brainlist answer
How does the moon cause tides?
Answer:
High and low tides are caused by the Moon. The Moon's gravitational pull generates something called the tidal force. The tidal force causes Earth—and its water—to bulge out on the side closest to the Moon and the side farthest from the Moon. These bulges of water are high tides.
Explanation:
If Batman jumps off a 50 m tall building at 30m/s to save a civilian...
a) How long does it take him to reach the civilian?
b) How far from the bottom of the building does he go?
Answer:
Use
[tex]t = \: \sqrt{2h \div g } [/tex]
[tex]x = u \times \sqrt{2h \div g} [/tex]
Steven tries to sneak a look into the freezer to see what kind of ice cream cake he will be eating for his birthday tomorrow. Which of the following best describes what is happening when Steven opens the freezer door right before his dad catches him?
A-Heat energy flows from the kitchen to the freezer
B-Heat energy flows from the freezer to the kitchen
C- Cold energy flows from the kitchen into the freezer
D- Cold energy flows from the freezer into the kitchen
A coil has an inductance of 6.00 mH, and the current in it changes from 0.200 A to 1.50 A in a time interval of 0.300 s. Find the magnitude of the average induced emf in the coil during this time interval.
Answer:
0.026 V
Explanation:
Given that,
Inductance of the coil, L = 6 mH
The current changes from 0.2 A to 1.5 A in a time interval of 0.3 s
We need to find the magnitude of the average induced emf in the coil during this time interval. The formula for the induced emf is given by :
[tex]\epsilon=L\dfrac{dI}{dt}\\\\=6\times 10^{-3}\times \dfrac{1.5-0.2}{0.3}\\\\=0.026\ V[/tex]
So, the magnitude of induced emf is 0.026 volts.
Suppose a rocket is traveling through space and moving at a speed close to the speed of light. Three minutes pass on the rocket as recorded by an observer on Earth.
How many minutes pass on Earth?
less than three minutes because of time dilation
more than three minutes because of time dilation
three minutes because time is absolute
less than or greater than three minutes depending on the speed
Answer:
B
Explanation:
on edge2020
Three minutes pass on the rocket as recorded by an observer on Earth will be more than three minutes because of time dilation. The correct option is B.
What is time dilation?It is a phenomenon a slowing of time according to the theory of relativity when a system is in motion relative to an outside observer and that becomes apparent when the speed of the system approaches that of light is known as time dilatation.
The time dilation results in Three minutes passing on the rocket as recorded by an observer on earth will be more than three minutes.
Learn more about time dilation
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5. Salt is often spread on roads during winter to prevent ice from forming. Do you think sugar would
work as well? Explain your answer.
Answer:
No because sugar is more sweet and it would not have the benefits of salt. Think of it like how people used to put salt on meat to preserve it. Would they put sugar on? No they would not because salt is a combination of things that sugar does not have.
Explanation
A force of 35.0 N is required to start a 6.0-kg box movingacross a horizontal concrete floor. (a) What is the coefficientof static friction between the box and the floor?(b) if the 35.0-n force continues, the box accelerates at 0.60 m/s2 . What is the coefficient of kinetic friction.
Answer:
Explanation:
Frictional force acting on the box = 35 N
If μ₁ be the coefficient of static friction and μ₂ be the kinetic friction
μ₁ mg = 35
μ₁ = 35 / 6 x 9.8
= .6
b )
net force acting on box to produce acceleration of .6 m /s²
= 6 x .6 = 3.6 N
net force acting on the box when it is accelerating
= 35 - μ₂ mg
35 - μ₂ x 6 x 9.8 = 3.6
35 - μ₂ x 58.8 = 3.6
μ₂ = .53
Referring to the sketch of a planet around the sun, Area A is three times that of Area B. Compare the times required for the planet to travel from Point 1 to Point 2 and from Point 3 to Point 4 and select the letter of the correct answer.
Answer:
tA is three times tB
Explanation:
tA is three times tB
Referring to the sketch of a planet around the sun, Area A is three times that of Area B. Compare the times required for the planet to travel from Point 1 to Point 2 and from Point 3 to Point 4 and select the letter of the correct answer.
Is clinical depression associated with eating disorders yes or no
Yes, a symptom of depression is a loss of appetite, and eating disorders are often developed as a result of an unhealthy coping mechanism with life; therefore, people with depression can get eating disorders and vice versa. They go hand in hand.
PLEASE HELP!!
1.The Law of Conservation of Energy states that?
A. matter cannot be created or destroyed, only stored and transferred.
B. momentum cannot be created or destroyed, only stored and transferred.
C. energy cannot be created or destroyed, only stored and transferred.
2.The total amount of kinetic and potential energy in a system that remains constant is the system's
A .mechanical energy
B. elastic energy
C. chemical energy
D. gravitational energy
3, At the top of a giant hill sits a roller coaster cart, all the energy of the cart is stored as
A. kinetic energy
B. chemical energy
C. elastic energy
D. gravitational potential energy
4. At the bottom of the hill (ground level), the roller coaster cart in the previous problem, all the energy of the cart is stored as
A. kinetic energy
B. chemical energy
C. elastic energy
D. gravitational potential energy
When a pendulum swings when will the potential energy be at a maximum?
A
B
C
D
6. If total mechanical energy = kinetic energy + potential energy, TME = KE + PE, and a roller coaster has 500 J of total mechanical energy. At the very beginning of the track the roller coaster has 500 J of potential energy, how much kinetic energy is there at the beginning of the track?
A 25 kg child is sitting at the top of a 4 m tall slide, what is his potential energy?
It the same child has a velocity of 2 m/s half-way down the slide, what is his kinetic energy?
If the TME energy for the same child on the slide is 100 J, how much potential energy does the child have half-way down the slide?
Answer:
A
A
D
D
when the pendulum is at the lefend and right end.
0 because kinetic energy is only formed when a moving object is moving.
dont know the others sorry
Explanation:
i got about half way for you hope it correct
give me nothing if you got some wrong!
or just give me a message saying that i didn't help
How fast would a(n) 85 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 410 m/s?
Answer:
V = 3.97 m/s
Explanation:
Mass of a man, M = 85 kg
Mass of a bullet, m = 8 g = 0.008 kg
Speed of bullet, v = 410 m/s
We need to find the speed of a man in order to have the same kinetic energy as that of the bullet. Let the kinetic energy of the bullet is k. So,
[tex]k=\dfrac{1}{2}mv^2\\\\k=\dfrac{1}{2}\times 0.008\times 410^2\\\\k=672.4\ J[/tex]
Since, k = K (K is the kinetic energy of the man and Let V is the speed)
[tex]K=\dfrac{1}{2}MV^2\\\\V=\sqrt{\dfrac{2K}{M}} \\\\V=\sqrt{\dfrac{2\times 672.4}{85}} \\\\V=3.97\ m/s[/tex]
So, the speed of the man is 3.97 m/s.
We have that for the Question "How fast would a(n) 85 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 410 m/s?" it can be said that the speed is
v=4.0m/s
From the question we are told
How fast would a(n) 85 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 410 m/s?
Generally the equation for the kinetic energy is mathematically given as
[tex]K.E=1/2*m*v^2\\\\Therefore\\\\K.E=1/2*0.008*(420)^2\\\\K.E=672.4J\\\\[/tex]
Therefore
[tex]v^2=\frac{672.4*2}{85}\\\\v^2=15.821[/tex]
v=4.0m/s
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Question 4
Why do some competitive swimmers shave their heads and bodies?
А
To decrease weight
B.
to increaase blood flow
C
to decrease friction
D
to increase buoyancy
Answer:
C
Explanation:
how does the law of conservation energy relate to the system shown in thos model
Answer:
there is no model shown
Explanation:
Therefore it can be thousands of different answers
A child wants to throw a rock upward to try to strike a plump apple up in a
tree. If the fastest the child can throw the rock is 7 m/s, what is the highest
the apple can be in order for the child to be able to strike the apple?
Answer:
7m because that is the height that the child can throw.
Two light bulbs have resistances of 400Ω and 800Ω. The two light bulbs are now connected in parallel across the 120-V line. A. Find the current through each bulb.B. Find the power dissipated in each bulb. C. Find the total power dissipated in both bulbs.
Answer:
a.) O.3A and 0.15A
b.) P1 = 36W, P2 = 18W
c.) 54W
Explanation:
Constant resistance R1 = 400 ohms, R2 = 800 ohms
a.)
The current through each bulb
While in parallel.
I = 120/800/3
= 0.45A
For 400= 800/400+800
= 800/1200 x 0.45
= 0.3A
I-800 = 400 /400+800
= 400/1200*0.45
= 0.15A
B.)
The power dissipated in each bulb
P409 = I²400r
= 0.3A²x400 ohms
= 36 W
P800 = I²800R
= 0.15A²*800 ohms
= 18W
C.)
The total power dissipated
= 36W + 18 W
= 54W