Answer:
the correct result is r = 3.71 10⁸ m
Explanation:
For this exercise we will use the law of universal gravitation
F = [tex]- \frac{m_{1} m_{2} }{r^2}[/tex]
We call the masses of the Earth M, the masses of the moon m and the masses of the rocket m ', let's set a reference system in the center of the Earth, the distance from the Earth to the moon is d = 3.84 108 m
rocket force -Earth
F₁ = - \frac{m' M }{r^2}
rocket force - Moon
F₂ = - \frac{m' m }{(d-r)^2}
in the problem ask for what point the force has the relation
2 F₁ = F₂
let's substitute
2 [tex]2 \frac{M}{r^2} = \frac{m}{(d-r)^2}[/tex]
(d-r) ² = [tex]\frac{m}{2M}[/tex] r²
d² - 2rd + r² = \frac{m}{2M} r²
r² (1 -\frac{m}{2M}) - 2rd + d² = 0
Let's solve this quadratic equation to find the distance r, let's call
a = 1 - \frac{m}{2M}
a = 1 - [tex]\frac{7.36 10^{22} }{2 \ 5398 10^{24}}[/tex] = 1 - 6.15 10⁻³
a = 0.99385
a r² - 2d r + d² = 0
r = [tex]\frac {2d \frac{+}{-} \sqrt{4d^2 - 4 a d^2}} {2a}[/tex]
r = [2d ± 2d [tex]\sqrt{1-a}[/tex]] / 2a
r = [tex]\frac{d}{a}[/tex] (1 ± √ (1.65 10⁻³)) = [tex]\frac{d}{a}[/tex] (1 ± 0.04)
r₁ = \frac{d}{a} 1.04
r₂ = \frac{d}{a} 0.96
let's calculate
r₁ = [tex]\frac{3.84 10^8}{0.99385}[/tex] 1.04
r₁ = 401.8 10⁸ m
r₂ = \frac{3.84 10^8}{0.99385} 0.96
r₂ = 3.71 10⁸ m
therefore the correct result is r = 3.71 10⁸ m
What causes the different colors of visible light in the electromagnetic spectrum?
Answer:
The color of the light is determined by the frequency of the light wave. Red, is lowest, frequency and violet is the highest.
The wavelengths of visible light split into the rainbow's hues as it passes through a prism because each color has a unique wavelength.
What is the electromagnetic spectrum?The range of all EM radiation types is known as the electromagnetic (EM) spectrum. The light source from a bulb in your home and electromagnetic frequency from a radio station are two examples of electromagnetic radiation. Radiation refers to the energy that moves and disperses as it does.
The wavelength of visible light affects its color. These lengths span the spectrum, from 700 nm at the red end to 400 nm at the violet. The only electromagnetic fields that we can perceive are visible light waves. These waves represent the rainbow's colors to us.
The wavelengths divide into the rainbow's hues as the whole visible light spectrum passes through a prism because each color has a unique wavelength.
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A toy car attached to a rope is traveling around in a circle. It makes 4 laps in 12s.What is the angular velocity of the toy car?
Answer:
2.09 rad/s
Explanation:
Given that,
A toy car makes 4 laps in 12 s.
We need to find the angular velocity of the toy car. We need to find the angular velocity of the toy car.
4 laps = 25.13 rad
So,
[tex]v=\dfrac{25.13\ rad}{12\ s}\\\\v=2.09\ rad/s[/tex]
So, the angular velocity of the toy car is 2.09 rad/s.
= 16ou kg x 9.8/m 15 xrom
7.ů5 X 105 Ek gained = 7.05x10
5. Calculate the 'efficiency of the roller coaster if the vertical height of the rollercoaster at point B is 90.0 m, the mass of the coaster is 1600 kg and the velocity the coaster at point Fis 37.0 m/s
Answer:
efficiency can be expressed in terms of power.
If so, power=force*velocity
P= (mass×gravity)*velocity
p= 1600×9.81×37
p=580752
In part C of the lab, when two wires are in series, so that current flows in opposite directions inside them, we see that the wires move ____.
a. towards each other (they attract)
b. away from each other (they repel)
c. both the wires move downwards towards the floor
d. both the wires move upwards towards the ceiling
Answer:
The correct option is B.
away from each other (they repel)
Explanation:
This because when current flows in opposite direction in wire, the electrons in them are at high density or electrons in the wires will be at high density which is as a result of contraction of the length due to relativistic of the length, this make the wires to move away from each other or repel.
Assume that John Travoltage and the carpet are neutral to start. After he rubbed his foot on the carpet on took negatives, what charge is on the carpet and why
Answer:
Same charge, positive.
Please see below as the answer is self-explanatory.
Explanation:
Due to the principle of conservation of the charge, if both the man and the carpet were neutral to start, any negative charge transferred to the man by the carpet, must have its positive counterpart on the carpet, so the system man + carpet can keep neutral as required by this principle, due charge can't neither created nor destroyed.How are Christian beliefs different than those who believe in reincarnation?
Answer:
While different religious groups like Hinduism, Sikhism, Jainism, and Buddhism belief in reincarnation and that a person has the chance to be reborn as a new person, depending on how the current life is, Christianity holds a different belief in that there is no reincarnation per se, but there is an afterlife with God for eternity in His kingdom.
Explanation:
The basic concept of reincarnation is a belief held by major religions of the world such as Hinduism, Jainism, Buddhism, and Sikhism. This philosophical belief holds that there is a rebirth or transference of an aspect of a person, be it the soul or mind or any subconscious to a different entity after one dies.
While Christianity does not specifically belief in reincarnation, it does hold the belief that the physical or bodily death of a person is not the end of that person. Rather, Christians belief in the afterlife, a life of eternity with God in His kingdom. This is not the same as reincarnation, for it involves no such rebirth as some other animal or even into a new person or being.
Thus, the Christian belief of afterlife is much different from the other religious beliefs of reincarnation.
When long chains of carbon and hydrogen atoms break apart into smaller
chains, the temperature decreases. Which type of reaction is this?
A. Combustion
B. Endothermic
C. Replacement
D. Exothermic
Answer:
Endothermic
Explanation:
4. A thermos bottle has two layers, a glass layer and a vacuum layer.
The vacuum layer is the better
o radiator
O convector
o insulator
O conductor
Explanation:
..........the answer is insulater
Is it possible that the physical velocity is constant but the magnitude of the velocity is variable?give an example
Answer:
yes it is possible
Explanation:
if the body is travelling with uniform speed in a circular track its speed remains the same but the velocity is non-uniform as the direction of the body is changing every time.
eg: a body in uniform circular motion has constant speed but its velocity changes at every point during the course of motion. Whenever, the direction changes, velcoity changes.
No work is done by an object at rest because.
1) no force is acting on the object.
2) no distance is moved.
3) heat is not produced.
4) friction is acting on the object
Answer:
no distance is moved as w=f×d
a device that consist audio information in electrical signal is
Answer:
Electromechanical transducer,
Explanation:
this is the answer I hope u got it
Answer:
yes it is a correct answer
What is the force of gravitational attraction between an object with a mass of 2kg and another that has a mass of 2kg and a distance between them of 2.5 m
Answer:
Explanation:
F = 0.000000000042716 or 4.2688e-11
G = 6.67 × 10−11 Nm2 /kg2
m1 = 2kg
m2 = 2kg
R = 2.5 m ⇒ R^2 = 6.25
F = 6.67 × 10^−11 ( 2 * 2) / 6.25
⇒ F = 6.67 × 10^−11 (4) / 6.25
⇒ F = 2.668e-10 / 6.25
∴ F = 4.2688e-11
which quantity is a vector quantity?
4. Mr. Ames is dragging a box full of books from his office to his car. The box and books together have a
combined weight of 134 N. If the coefficient of static friction between the pavement and the box is 0.55, low hard
must Mr. Ames push horizontally on the box in order to start it moving?[74N]
Answer:
F = 73.7 N = 74 N (rounding off)
Explanation:
In order to get the box to start moving, Mr. Ames must push it with a force equal to the frictional force acting on it. Therefore, this force can be calculated through the following formula:
[tex]F = frictional force = \mu R[/tex]
where,
μ = coefficient of friction = 0.55
R = Normal Force on Box = Weight of Box with books = 134 N
Therefore,
[tex]F = (0.55)(134\ N)\\[/tex]
F = 73.7 N = 74 N (rounding off)
The current shape of the solar system is *
1. A spiral or flat swirling disk with the Sun in the center
2. A spherical, with the objects in the solar system orbiting the sun in all directions
3, There is not logical order or shape in our solar system
4. A flat swirling disk with the Earth in the center
Which statements correctly describe matter? Select all that apply.
A. Matter is made up of atoms.
B. Matter is a measure of the amount of material in
an object.
C. Matter may exist as a solid, liquid, or gas.
D. Matter forms when particles chemically bond
together.
E. Matter includes both elements and compounds.
Answer:
D
I hope these is correct
A matter may exist as a solid, liquid, or gas. Matter is made up of atoms. The correct options are A and C.
What is a matter?In physical laws and general chemistry, matter is any material that has mass and occupies space by having volume.
It has something to do with weight. Atoms, which are made up of subatomic particles, make up the vast majority of matter in the universe.
Even all organisms is made up of matter, whether they are living or non living.
Matter is significant as though it build up all the things present in person's environment. Matter can neither be generated or be destroyed as it can only be transmuted into some another form.
The quantity of matter in a physical existence is renowned as mass. When a net force is exerted, it also characterize the body's inertia, or resistance to acceleration.
A substance can exist as a solid, liquid, or gas. Atoms are the building blocks of matter.
Thus, the correct options are A and C.
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what heavy element was the chernobyl nuclear accelarators supposed to make?
Answer
plutonium
Explanation:
brainliest please
Two astronauts, A and B, both with mass of 60Kg, are moving along a straight line in the same direction in a weightless spaceship. Relative to the spaceship the speed of A is 2 m/s and that of B is 1 m/s. A is carrying a bag of mass 5 Kg with him. To avoid collision with B A throws the bag with a speed v relative to the spaceship towards B catches it. Find the minimum value of v.
Answer:
[tex]V=14m/s[/tex]
Explanation:
From the Question we are told that
Mass of A and B is 60kg
Speed of A=2m/s
Speed of B=1m/s
Mass of bag =5kg
Generally the momentum of the astronaut A and bag is mathematically given as
[tex]M_A=(60+5)*2[/tex]
[tex]M_A=130kgm/s[/tex]
Generally to avoid collision the speed of astronaut be should be less than or equal to that of astronaut A with the bag
Therefore for minimum requirement speed of astronaut A should be given by astronaut B's speed which is equal to 1
Therefore
[tex]130=(60*1)=(5*v)[/tex]
[tex]V=14m/s[/tex]
To avoid collision with B, A throws the bag with a speed of 26 m/sec.
Given-
The mass of the two astronauts A and B is 60 kg.
The mass of astronaut A is 65 kg with the box.
The speed of astronaut A is 2 m/sec.
The speed of astronaut B is 1 m/sec.
The mass of the bag is 5 kg.
The momentum of a body is the product of its mass and velocity. Thus the momentum of astronaut A is,
[tex]M_{A} =m_{a} \times v_{a}[/tex]
[tex]M_{A} =(60+5)\times2[/tex]
[tex]M_{A} =130[/tex]
To avoid the collision with B, A throws the bag with a speed v. For this the momentum after the trough must be equal to the momentum of A. Therefore,
[tex]M_{A} =5\times v_{r}[/tex]
[tex]130 =5\times v_{r}[/tex]
[tex]v_{r}= \dfrac{130}{5}[/tex]
[tex]v_{r}=26[/tex]
Hence, to avoid collision with B, A throws the bag with a speed of 26 m/sec.
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A naked, male corpse was found at 8AM on Tuesday, July 9.The air temperature wasalready 26.7˚C (81˚F). The body exhibited some stiffness in the face and eyelids and had a body temperature of 34.4˚C (93.9˚F). Livor mortis was not evident. Approximately how long ago did the man die? Justify your answer. Would clothing on the body have made a difference in determining the actual time of death in this case? Why or why not?
Answer:
x = 9.87 hours ago.
Further explanation is present below.
Explanation:
Data given:
Air Temperature = 26.7°C (81°F)
Body temperature = 34.4°C (93.9°F)
We are given that, Livor mortis was absent. Secondly, The body exhibited some stiffness in the face and eyelids.
So, it can be concluded that, body must have died recently, as Livor mortis was absent plus the presence of stiffness in the face and eyelids. Furthermore,
The normal body temperature = 37°C
Body temperature in our case = 34.4° C
Difference = 37 -34.4 = 2.6°C
And Air temperature = 26.7°C
Which is a very low difference, in addition, it has not acquired the air temperature so, all this evidence certifies that body died recently.
Now, we have to calculate, how recently it died.
Formula:
0.78 . x = difference of body temperature and air temperature
Where, x = number of hours = time required,
0.78 . x = (34.4 - 26.7)
0.78 . x = 7.7
x = 7.7/0.78
x = 9.87 hours ago.
It means that, naked male corpse was died 9.87 hours ago.
Now, we are asked to find out clothing on the body had made a difference or not.
So, Yes it would definitely make a difference. As body would have more warmer than being naked. and it would result in a calculation of a different time of death. (body temperature would have > 34.4°C)
When 24500J of energy is supplied to a 2.0 kg block of aluminum.Its temperature rise from 20oc to 35oc.The block is well insulate so that there is no energy loss to the sorrounding Determine specific aluminum
Explanation:
Amount of heat supplied (Q) = 24500 J
Mass (m) = 2 kg
Initial temperature (t1) = 20 ° C
Final temperature (t2) = 35 ° C
Difference in temperature (dt) = t2 - t1 = ( 35 - 20) °C = 15 ° C
Now Specific heat capacity (S) = ?
We know we have the formula;
Q = m * s * dt
24500 = 2 * s * 15
24500 = 30 S
S = 24500 / 30
S = 816.67 J / Kg ° C
The specific heat capacity is 816.67 J/kg°C.
Hope it will help :)
Which best describes pitch?
A) the amount of time taken for a longitudinal wave to produce one cycle
B) the number of cycles per second perceived by the human ear
C) the amplitude of a wave when the natural frequency is matched
D) the distance between two corresponding parts of a transverse wave
Answer:
B) the number of cycles per second perceived by the human ear
Explanation:
The best expression that describes pitch is that it is the number of cycles per second perceived by the human ear.
For a wave train, the number of cycles per second is frequency. Whereas the period is the amount of time taken for a longitudinal wave to produce one cycle.
The distance between two corresponding parts of a transverse wave is its wavelength.
A high pitch will correspond to a high frequency of waves perceived. A low pitch corresponds to a low frequency of waves.How many electrons does Gold have?
Answer:
79 I believe! don't mind the rest sjjdjdiwowjekwhfjdoaoqhenfixiwnsodjd djdjsiwuwieodjskrkf
Running at 2.0 m/s, Burce, the 45.0 kg quarterback, collides with Max, the 90.0 kg tackle, who is traveling at 7.0 m/s in the other direction. Upon collision, Max continues to travel forward at 1.0 m/s. Draw or describe simply the diagram before and after collision including objects, mass, velocity, and velocity vectors.
Answer:
max
Explanation:
because its right 90/7
Different structures give compounds different properties
400JA container with a mass of 5 kg is lifted to a height of 8 m. How much work is done
by the gravitational force?
O 50J
0400)
0-400J
o
zero
O -50)
Answer:
400 J
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 5 kg
Height (h) = 8 m
Workdone (Wd) =?
Workdone by gravitational force is given by the following equation:
Wd = mgh
Where:
Wd => is the Workdone.
m => is the mass of object
g => is the acceleration due to gravity
h => is the height to which the object is located.
With the above formula, we can obtain the workdone as follow:
Mass (m) = 5 kg
Height (h) = 8 m
Acceleration due to gravity (g) = 10 m/s²
Workdone (Wd) =?
Wd = mgh
Wd = 5 × 10 × 8
Wd = 400 J
Thus, the workdone by gravitational force is 400 J
A worker for a moving company is pushing on a refrigerate with a force of 1500 Newtons but the refrigerator just won’t move. How much work did the worker do on the refrigerator?
Answer:
0 J
Explanation:
Work is the product of force applied and the distance moved by the object.
In this case, the force applied on the refrigerator is 1500 N
The refrigerator did not move, thus no distance , hence distance is zero
The formula for work done:
W = F*d
W= 1500 * 0
W= 0 J
4.
What is the role of a compressor in an air conditioner?
O It exchanges warm air for cold air and blows it into the room.
O It increases the pressure and temperature of the refrigerant.
O It absorbs heat from the room and blows it outside.
Answer:
b
Explanation:
it compresses hot air turning into cool air almost like a reverse tornado
Answer:
It increases the pressure and temperature of the refrigerant.
Explanation:
The purpose of the compressor is to circulate the refrigerant in the system under pressure, this concentrates the heat it contains. At the compressor, the low pressure gas is changed to high pressure gas.
A hockey player applies an average force of 80.0 N to a
0.25 kg hockey puck for 0.10 s. What is the impulse
experienced by the hockey puck ?
Answer:
[tex]Impulse = 8.0Ns[/tex]
Explanation:
Given
[tex]Force = 80.0N[/tex]
[tex]Mass = 0.25kg[/tex]
[tex]Time = 0.10s[/tex]
Required
Determine the impulse
The impulse is calculated as follows:
[tex]Impulse = Force * Time[/tex]
Substitute values for Force and Time
[tex]Impulse = 80.0N * 0.10s[/tex]
[tex]Impulse = 8.0Ns[/tex]
Hence, the impulse experienced is 8.0Ns
Estimate the volume of a typical home (2420 ft^2 in size and 10 ft tall) Answer in units of m^3
Answer:
volume = 683.53 [tex]m^{3}[/tex]
Explanation:
From the given question,
area = 2420 [tex]ft^{2}[/tex]
height = 10 ft = 3.048 m
But,
1 [tex]ft^{2}[/tex] = 0.092903 [tex]m^{2}[/tex]
So that,
2420 [tex]ft^{2}[/tex] = 224.8254 [tex]m^{2}[/tex]
Volume = area x distance
= 224.8254 x 3.048
= 683.5262
volume = 683.53 [tex]m^{3}[/tex]
The time it takes a car to attain a speed of 30 m/s when accelerating from rest at 2 m/s2 is?
A) 2 s.B) 15 s.C) 30 s.D) 60 s.
Explanation:
u = 0m/s
v = 30m/s
a = 2m/s²
Using Kinematics, we have v = u + at.
Therefore t = (v - u) / a
= (30 - 0) / (2) = 15 seconds. (B)