The heat of the surroundings is - 4482 J.
What is the heat change of the system (qsystem)?A calorimeter is a device in which that is no exchange of heat between the device and the environment. In other words, there could only be exchange of heat when the a substance has been put inside the calorimeter.
We know that in a calorimeter;
Heat of the surrounding = Heat of the system
That implies that they are of the same magnitude but of opposite direction hence the heat of the system is - 4482 J.
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A garden has a circular path of radius 50 m . John starts at the easternmost point on this path, then walks counterclockwise around the path until he is at its southernmost point.
John's displacement as he walks round the garden is 314 m counterclockwise.
What is displacement?
Displacement can be defined as the distance traveled in a a specified direction.
To John's displacement, we use the formula below.
Formula:
D = 2πr.............. Equation 1Where:
D = John's displacementr = Radius of the circular gardenπ = PieFrom the question,
Given:
r = 50 mπ = 3.14Substitute these values into equation 1
D = 2×3.14×50D = 314 m counterclockwise.Hence, John's displacement as he walks round the garden is 314 m counterclockwise.
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how would you describe the kinetic energy of the particles in a solid? low kinetic energy high kinetic energy
The lowest kinetic energy so they vibrate very little option (A) Low kinetic energy is correct.
What is kinetic energy?The initial energy controls the energy that an object possesses in response to the motion. The effort needed to move a material body from rest to the specified velocity is how it is defined.
The object's energy resulting from its location (potential energy) and its motion are both included in the mechanical energy (kinetic energy).
Thus, the lowest kinetic energy so they vibrate very little option (A) Low kinetic energy is correct.
How would you describe the kinetic energy of the particles in a solid?
Low kinetic energy High kinetic energy Same kinetic energy as a plasma Varying kinetic energy.Learn more about kinetic energy here:
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How are a continental volcanic arc and a volcanic island arc different from each other?
The continental volcanic arc and a volcanic island arc different from each other is An island volcanic arc forms in an ocean basin via ocean-ocean subduction.
The Aleutian Islands off the coast of Alaska and the Lesser Antilles south of Puerto Rico are examples.
A continental volcanic arc forms alongside the margin of a continent where oceanic crust subducts underneath continental crust.
An island arc and a volcanic arc are basically the same type of geological characteristic except for the reality that one is on land and the opposite is surrounded by the usage of water.
Plate tectonics drives the arrival of volcanic arcs. A denser oceanic plate collides with a more buoyant continental plate. The oceanic crusts’ density pulls it downward into the mantle wherein excessive warmness melts it.
The molten rock and volatiles (magma) then art work their way upwards often attaining the ground and erupting. The arc form is the floor trace of the area wherein the down
going plate is melting. it's far an arc because of the truth the earth is a spherical shape.
heaps of the Pacific rim, extensively Japan, Polynesia and the Aleutians are island arcs.
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How many 5-nucleotide dna sequences are possible?
a) 1024
b) 54
c) 16
d) 256
e) 64
1024 many 5-nucleotide dna sequences are possible
because its permutation and combination 5 !
Nucleotides are organic compounds made up of a phosphate and a nucleoside. They function as monomeric units of the key macromolecules found in all living forms on Earth, deoxyribonucleic acid (DNA), and ribonucleic acid (RNA), which are both nucleic acid polymers. In addition to being produced by the liver from common nutrients, nucleotides can also be received through diet.
A nucleobase, a five-carbon sugar (ribose or deoxyribose), and a phosphate group made up of one to three phosphates are the three component molecules that make up a nucleotide. Guanine, adenine, cytosine, and thymine are the four nucleobases found in DNA; uracil is used in place of thymine in RNA. These four nucleobases are necessary for a variety of cellular processes, such as the synthesis of amino acids, proteins, and cell membranes, as well as for moving the entire cell and its constituent parts.
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A satellite in earth orbit has a semi-major axis of 6,700 km and an eccentricity of 0.01. what are the satellite's geometric altitude at apogee?
The satellite's geometric altitude at apogee is =388.9km
The given data are:-
a=6700 km
e=0.01
R(earth)=6378.14km
R(p)=Radius at perigee
R(a)=Radius at apogee
where R(p)=a(1-e)
=6700(1-0.01)
=6633km
Altitude at perigee=6633-6378.4
=254.9km
R(a)=a(1+e)
=6700(1+0.01)
=6767km
Altitude at apogee=6767-6378.14
=388.9km
The satellite's geometric altitude at apogee is 388.9km.
What is apogee?
An Earth-orbiting satellite has an apogee, that is its finest top above the planet, and a perigee, that is its lowest peak above the planet. How excessive above sea level is supposed with the aid of "above Earth" (which varies barely, so that is a super). What the satellite tv for pc is appearing determines what the height "must" be. about 22,000 miles above Earth, in geosynchronous orbit, are a large quantity of verbal exchange satellites. The reality that they orbit on the identical velocity because the Earth approach they may be continually above the identical spot on its surface, which is exceptionally beneficial.
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a rock takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s
rock that takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s with gravity 9.8 [tex]m/s^2[/tex], then the height of the tower is 12.8 m.
Motion under gravityAcceleration under gravity is represented by the letter g and is 9.8 [tex]m/s^2[/tex]. We refer to this motion as motion under gravity. The whole mass of our Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in any kind of body.
The equations would be modified as follows when an object is falling freely under the force of gravity:
H = ut + ½ [tex]gt^2[/tex] and v = u + gt
[tex]V^{2}[/tex]= [tex]U^{2}[/tex] + 2gh
At the highest point,
V= U-gt
0= 8.2 - 9.8t
[tex]t_{1}[/tex] = 8.2/9.8
= 0.833
then we calculate [tex]h_{1}[/tex] = [tex]\frac{U^2}{2g}[/tex]
[tex]h_{1}[/tex] = 3.43 m
Then calculating for second half, when it is in free fall,
[tex]t_{2}[/tex] = 2.65-0.83
= 1.82
u=0 a =g and [tex]t_{2}[/tex] = 1.823
[tex]h_{2}[/tex] = 1/2 x 9.8 x [tex](1.82)^2[/tex]
=16.23 m
So, thus the exact height of the building = 16.23 - 3.43 = 12.8 m
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A runner is jogging in a straight line at a
steady vr= 7.1 km/hr. When the runner is
L= 3.3 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 28.4 km/hr (4 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.
The cumulative distance the bird travels is 4.4 km.
Time of motion of the bird
The time of motion of the bird is calculated from the principle of relative velocity.
distance covered by bird - distance of runner = distance between them
vb_t - vr_t = d
(vb - vr)t = d
where;
t is the time of motion(28.4 - 7.1)t = 3.3
21.3t = 3.3
t = 3.3/21.3
t = 0.155 hr
Distance traveled by the bird within this timed = 0.155 hr x 28.4 km/h
d = 4.4 km
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consider a 50 kg cylindrical barrel resting on a wooden pallet. the pressure applied on the pallet by the barrel is 260 pa. what is the radius r of the barrel
The radius of the cylindrical barrel is 0.78 m.
Circular area of the cylindrical barrel
The circular area of the cylindrical barrel is calculated as follows;
P = F/A
A = F/P
where;
F is the applied force due to its weightP is pressure applied on the palletA is area of the cylindrical barrelA = mg/P
A = (50 x 9.8) / (260)
A = 1.885 m²
Radius of the cylinderA = πr²
r² = A/π
r = √(A/π)
r = √(1.885/π)
r = 0.78 m
Thus, the radius of the cylindrical barrel is 0.78 m.
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Law of conservation of matter (mass)
Answer:
The law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as system's mass cannot change, so quantity cannot be added nor removed. Hence, the quantity of mass is conserved over time
Explanation:
Instant Practice-Stating a Hypothesis Write a hypothesis for each of the following situations. You may wish to use an "If...then..." format. For example: If temperature affects bacterial growth, then bacterial culture plates at a higher temperature will have more bacterial colonies than those at a lower temperature. 1. The relationship between temperature and the state of water 2. The relationship between types of atmospheric gases and global warming 3. The amount of time batteries last in different devices 4. The effect of the colour of flowers on honeybee visitations
To better understand and treat caused diseases, a pure bacterial culture is still necessary for the research of its virulence, susceptibility to antibiotics, and genomic sequence.
Incubation time, nutrients, environment, and temperature were empirically changed in the early culture conditions before culture was increasingly replaced by molecular techniques. Microbiologists that specialize in intracellular bacteria were responsible for the resurgence of culture in clinical microbiology. An expansion of the archaea's repertory was made possible by the introduction of a new, adaptable media. However, among common bacterial diseases, the creation of axenic medium for the culture of Treponema pallidum or Mycobacterium leprae continues to be a significant obstacle that cultivators will be able to overcome with time and creativity.
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If the allele frequency for the recessive single allele that causes a particular rare hair color is 0. 02, how frequently would you expect the hair color to be present in humans?.
1 in every 2500 individuals would expect the hair color to be present in humans
At a specific genomic region, an allele is one of two or more variations of the DNA sequence (a single base or a segment of nucleotides). For each genomic region with such variation, an individual inherits two alleles, one from each parent. The person is homozygous for the allele if the two alleles are the same. The person is heterozygous if the alleles are distinct from one another. The term "allele" is used to refer to a gene's alternate form or variants. For each autosomal gene, one allele is inherited from each parent, and we often group the alleles into categories. Usually, we refer to them as normal, wild-type, aberrant, or mutant alleles.
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What fraction of the entire electromagnetic spectrum is spanned by visible light?.
Only 0.0035% of entire electromagnetic spectrum is spanned by visible light.
We have Electromagnetic spectrum.
We have to determine what fraction of the entire electromagnetic spectrum is spanned by visible light.
What is the range of visible spectrum in Electromagnetic spectrum ?The visible wavelengths cover a range from approximately 0.4 to 0.7 µm.
According to the question -
The visible spectrum forms a very small part almost equal to 0.0035% of the electromagnetic spectrum. In the visible spectrum, the longest visible wavelength is Red and the shortest visible wavelength is Violet. Refer to the image attached. From the image it is clear that the visible spectrum forms a very thin part of the entire spectrum.
Hence, only 0.0035% of entire electromagnetic spectrum is spanned by visible light.
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A car starting from rest is accelerated at a constant rate of 3.0 meters per second^2. What
is its speed at the end of 8.0 seconds?
Equations of motion are mathematical formulas that describe a body's position, velocity, or acceleration with respect to a certain frame of reference. The speed at the end of 8.0 seconds is 24 m/s.
The pace at which an object's velocity changes is known as acceleration. where an is the acceleration, v is the object's ultimate velocity, u is its starting velocity, and t is the amount of time that has passed. You can rearrange this equation to get v = u + at.
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.
v = 0 + 3.0 × 8.0
v = 24 m/s
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Superman used x-ray vision to detect objects. aside from detection of x-rays, what else would be needed for x-ray vision?
Superman used x-ray vision to detect objects.
You will want at least two components for x-ray detection/vision to function: an x-ray source and an absorber for x-ray.
It isn't vital for the aspect you need to peer to be the supply; it only needs to take in a number of the light. The medical expert will region your chest between the absorber and source whilst taking a chest x-ray. because the coronary heart can in part soak up mild, it'll seem whiter than the lungs, which are formed of air and cannot achieve this.
Making X-ray photographs is viable. now not within the realm of technology fiction. this is how it goes. X-rays can be created via directing high-velocity electrons at a metal surface. X-rays are equal to seen light, besides their wavelength is notably shorter (but they're nevertheless electromagnetic waves). but, X-rays engage with depend in a special way than seen mild due to the fact they have got a unique wavelength (and frequency). this implies that some substances are truly transparent, including human flesh. by using passing X-rays thru a person and placing an X-ray detector on the alternative side, you may utilize this technique to supply an X-ray photograph.
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You are driving a car, travelling at a constant velocity of 25m/s along a
straight road. When you see a child suddenly run onto the road. It takes
0.45s for you to react and apply the brakes. As a result, the car slow down
with a steady acceleration of 8.5m/s 2 . Find the distance?
The distance travelled by the car when the brakes were applied is 12.11 m
Data obtained from the questionThe following data were obtained from the question:
Initial velocity (u) = 25 m/sAcceleration (a) = 8.5 m/s² Time (t) = 0.45 sDistance (s) =?How to determine the distance travelledThe distance travelled can be obtained as follow:
s = ut + ½at²
s = (25 × 0.45) + (½ × 8.5 × 0.45²)
s = 11.25 + (4.25 × 0.2025)
s = 11.25 + 0.860625
s = 12.11 m
Thus, the distance travelled in 0.45 s by the car is 12.11 m
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a string that is under 49.0 n of tension has linear density 4.70 g/m . a sinusoidal wave with amplitude 2.50 cm and wavelength 1.50 m travels along the string.
velocity of wave v = [tex]\sqrt{t/\mu}[/tex]
v = √49/√4.7 * 10^-3
= 102.1 m/s
w = 2 π f
= 2 π (v/[tex]\lambda[/tex])
= 2 π (102.1/1.5)
= 427.04
max speed Vmax = Aw
Vmax = 2.50 * 10^-2 *427.04
Vmax = 10.675
sinusoidal wave in graphical representation of linear projection of an object moving with SHM Sine Wave Characteristics 1) Amplitude 2) Period or frequency 3) Phase Amplitude Represents strength or magnitude of vibration over time.Period and Frequency are Inversely related - as period increases (gets longer), frequency decreases (gets lower) - as period decreases (gets shorter), frequency increases (gets higher)To know more about sinusoidal wave visit : https://brainly.com/question/13641310
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Which of the following terms best describes the average kinetic energy of a system? kinetic energy potential energy thermal energy temperature
The common kinetic energy of the device is quality described through the word temperature.
Kinetic electricity is the power that an object possesses because of its mobility from one location to another. In a comparable vein, a system's temperature measures the average amount of kinetic strength in motion. As a end result, as molecules pass (circulate) greater swiftly in a device, the gadget's temperature rises because of heat being absorbed and an growth inside the average kinetic energy of the device.
clearly put, the size of temperature is how warm or bloodless some thing is basically, a thermometer is used to measure an object's temperature, and its units are;
Fahrenheit (°F).Celsius (°C).Kelvin (K).Know more about Kinetic energy:
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As the angle between the wires decreases, what happens to the force exerted on the wires?
A decrease in the angle between the wires will increase the horizontal component of tension (the tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides) and an increase in the angle will decrease the horizontal component of tension.
What is tension force?Tension is defined as force transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over length of the wire and pulls energy equally on the bodies at the ends.
Every physical object which is in the contact, exerts some force on one another. These contact forces are assigned names based on kind of objects. If one of the forces exerting an object is rope, cable or chain, we can call it tension.
Cables and Ropes can be used for exerting forces since they can efficiently transfer force over a specific distance (e.g. the rope length). Please note that tension is pulling force since ropes cannot push effectively. Pushing with a rope causes the rope to go slack and lose tension that allowed it to pull in the original place. This might seem obvious, but when it is about drawing forces acting on an object, some often draw the force of tension going in the wrong direction. Hence, tension can only pull the object.
In the almost every situation in classical mechanics, you will be presented with massless ropes and cables. When a rope is massless, it transfers force from one end to the other perfectly.
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If the human ear could not detect differences in the amplitude of sound waves, people would not be able to detect differences in the?
People wouldn't be able to distinguish between differences in sound volume if the human ear couldn't detect variations in the amplitude of undulations.
What determines the amplitude of a sound?
The amplitude of a sound wave is the life of the peak of the wave. The amplitude of a sound wave is outlined because the loudness or the quantity of most displacement of moving particles of the medium from their mean position once the sound is produced.
Amplitude of Sound. The strength or level of sound pressure. The amount of molecules in the sound wave in b is greater than the amount within the undulation in a, thus the amplitude of the sound wave in b is larger.To learn more about Amplitude of a sound, visit:
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in an experiment in space, one proton is held fixed and another proton is released from rest a distance of 3.50 mm away.
In an experiment in space, one proton is held desk bound and every other proton is released from relaxation at a distance of 3.50 mm. After the proton is launched its initial acceleration is four.14*10^{five}
Given data:
Electrostatic force = kq^{2} /r^{2}
F = ma
ma = [tex]= kq^{2} /r^{2}[/tex]
[tex]a = = kq^{2} /r^{2}m[/tex] ....(1)
Here,
k = [tex]9*10^{-19} C[/tex]
r = 3.50 mm
m = [tex]1.67 * 10^{-27}[/tex]
Putting the details given above into equation 1
[tex]a = \frac{9*10^{9}(1.6*10^{-19})^{2} }{(2.5*10^{-3})^{2}*1.67*10^{-27} }[/tex]
[tex]a = 4.14*10^{5}[/tex]
Electrostatic forces, as an instance, pull or push on objects without genuinely getting into contact with them. while sure substances are rubbed collectively, a phenomenon known as "rate" may be transferred from one surface to some other. Uncharged gadgets are pulled by way of charged objects, which in turn may additionally push or pull towards different charged ones.
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how would you describe the kinetic energy of the particles in a solid? low kinetic energy high kinetic energy
Since they are tightly packed, solids vibrate in place and have the least kinetic energy.
The vibration and movement of the particles are accelerated by kinetic energy. Due to the liquid's relative higher kinetic energy, particles in it slide past one another.
Is the kinetic energy particles of a solid?The kinetic hypothesis states that matter is made up of moving parts. Kinetic energy is what propels motion. The least kinetic energy is held by solid particles, while the most is held by gaseous particles.
The particles gather kinetic energy and accelerate as the temperature rises. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.
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a honeybee leaves the hive and travels a total distance of 2 km before returning to the hive. what is the magnitude of the displacement vector of the bee? why?
displacement vector of the honeybee is zero
displacement = final position - initial position
so the bee travelled from and returned back to home , so final and initial position is same
so the displacement vector will be zero.
displacement is defined as change in position is determined by thedistance and direction of an object from the starting point to the ending point.direction is shown by the arrow on a displacement vectorup, down, left, right, forward, backward, toward, away from, north,south, east, or west are terms used to measure direction:meters (m) is the SI unit for distance and displacementTo know more about displacement visit : https://brainly.com/question/11934397
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what is the magnitude of the electric force on an electron in a uniform electric field of strength 2490 n/cn/c that points due east?
The magnitude of electric force on an electron in a uniform electric field of strength 2490 n/c that points due east is 3.9 x 10^22 N/C as per calculated.
What is electric force?The electric force present between the nucleus and the electrons is called as electric force.
This electric force can also be generally described as the repulsive or attractive interaction that is present between any two charged bodies.
Electric force is also defined as the attracting or repulsive interaction between any two charged things.
Electric force for any kind of electric field E for a point charge q can be formulated as:
F = q*e
The SI unit of electric field can be devised as volt per meter (V/m) or in other similar terms, newton per coulomb (N/C).
This electric force can be calculated via
F= qe
⇒ F= (1.6 x 10^-19) x 2490
⇒ F = 3.9 x 10^22 N/C
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mercury is about 0.4 au from the sun on average (40% of the earth-sun distance). according to kepler's 3rd law, a year on mercury (i.e., it's orbital period) is a year on earth.
A Year on mercury is less than 40% as long as a year on earth.
What is Kepler’s Third law?According to Kepler's Third Law, the cubes of the semi-major axes of the orbits of the planets are directly proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius increases, so does the time of its orbit around the Sun. Thus, we learn that Mercury, the innermost planet, completes its orbit of the Sun in just 88 days. Saturn needs 10,759 days to complete the same task as the earth does in 365 days. Despite the fact that Kepler had no knowledge of gravitation at the time he developed his three laws, Isaac Newton used them to derive his theory of universal gravitation, which explains the mysterious force behind Kepler's Third Law.
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After which action would the concentration of a solution remain constant
adding water to the solution
adding solute to the solution
evaporating water from the container
removing solution from the container
Answer: Removing solution from the container
Explanation: Took the quiz
The action that would cause the concentration of a solution to remain constant is removing solution from the container.
What is concentration of a solution?The concentration of a solution is the measure of the amount of solid particles (solute) that has been dissolved in the given amount of a solvent.
Adding water to a solution will dilute the solution, hence changes the concentration of the solution.
Also, adding solute will change the concentration of the solution.
Thus, the action that would cause the concentration of a solution to remain constant is removing solution from the container.
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A 7.4 nc point charge and a - 2.1 nc point charge are 3.3 cm apart. what is the electric field strength at the midpoint between the two charges?
A 7.4 nc point charge and a - 2.1 nc point charge are 3.3 cm apart and the electric field strength at the midpoint between the two charges 3.14 × 10⁵ N/C.
To find the electric field strength, the given values are,
q1 = 7.4 nC = 7.4 × 10⁻⁹ C
q2 = - 2.1 nC = 2.1 × 10⁻⁹ C
Distance (d) = 3.3 cm apart
What is Electric field strength?The intensity of an electric field at some specific or particular location can be defined to be Electric field strength.Volt per meter (v/m or v · m -1) was the unit for Electric field strength. A electric field strength for 1 volt/meter which represents a potential difference for one volt between the points which is separated by one meter.Substituting the given values,
At first, midpoint (r) = 3.3 / 2 = 1.65 cm = 1.65/100 =0.0165 m
The electric field strength at midpoint is given by:
E = k/r² ( q1 + q2)
K = 9.0 × 10⁹
Thus,
E = ((9 × 10⁹) / 0.0165²) × (7.4 × 10⁹ + 2.1 × 10⁹)
E = (3.3057851× 10¹³) (9.5 × 10⁹)
E = 31.4049586 × 10¹³⁻⁹
E = 31.4049586 × 10⁴
E = 3.14 × 10⁵ N/C.
The Electric field strength can be found as 3.14 × 10⁵ N/C.
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earth is located at one of the moon's orbit.target 1 of 6 2. according to kepler's second law, jupiter will be traveling most slowly around the sun when at .target 2 of 6 3. earth orbits in the shape of a/an blankaround the sun.target 3 of 6 4. the mathematical form of kepler's third law measures the period in years and the blankin astronomical units (au).target 4 of 6 5. according to kepler's second law, pluto will be traveling fastest around the sun when at blank.target 5 of 6 6. the extent to which mars' orbit differs from a perfect circle is called its
1. Earth is located at one focus of the Moon's orbit.
2. According to kepler's second law, jupiter will be traveling most slowly around the sun's aphelion
3. Earth orbits in the shape of a/an ellipse around the sun.
4. The mathematical form of Kepler's third law measures the period in years and the semimajor axis in astronomical units (AU).
5. According to Kepler's second law, Pluto will be traveling fastest around the Sun when at perihelion.
6. The extent to which Mar's orbit differs from a perfect circle is eccentricity.
What is kepler's second and third law?
Kepler's second law is a mathematical principle that states the distance between two objects in space is proportional to the square of their timescale of revolution. This means that as two objects orbit around each other, the further they will be from each other over time.
Kepler's Third Law is a scientific law that states the amount of time it takes for planets to orbit their star is inversely proportional to their distance from the sun.
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Yes! All orbiting objects adhere to Kepler's Second Law and other rules as well. Pluto moves more quickly when it is nearer the sun and less quickly when it is distant from it, much like every other object in our solar system.
What is Kepler's law of planetary motion?In astronomy, Johannes Kepler's laws of planetary motion, which were written between 1609 and 1619, define the paths taken by planets as they round the Sun. The laws altered Nicolaus Copernicus' heliocentric theory, substituting elliptical trajectories for circular orbits and epicycles, thereby explaining the variation in planetary velocities. According to the three laws:
A planet's orbit is an ellipse with the Sun as one of its two foci.Equal areas are covered over equal times by a line segment connecting a planet and the Sun.The semi-major axis of an orbital system is related to the square of the planet's orbital period.To know more about Kepler's law, visit:
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a parachutist with a camera, both descending at a speed of 10.8 m/s, releases that camera at an altitude of 44 m. (a) what is the velocity of the camera just before it hits the ground? (b) how long does it take the camera to reach the ground?
(a) The final velocity of the camera just before it hits the ground is 31.3 m/s.
(b) The time taken for the camera to reach the ground is 2.1 seconds.
The velocity of the camera before it hits the ground is calculated as follows;
v² = u² + 2gh
where;
v is the final velocity of the camerau is the initial velocityh is height of fallg is acceleration due to gravityv² = 10.8² + 2(9.8)(44)
v² = 979.04
v = √979.04
v = 31.3 m/s
Time of motion of the camerav = u + gt
31.3 = 10.8 + 9.8t
31.3 - 10.8 = 9.8t
20.5 = 9.8t
t = 20.5/9.8
t = 2.1 seconds
Thus, the final velocity of the camera just before it hits the ground is 31.3 m/s. The time taken for the camera to reach the ground is 2.1 seconds.
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Determine the magnitude of the projection of f along line ac. express this component as a cartesian vector.
The magnitude of the projection of f along line ac. express this component as a cartesian vector.
General Guidance
This problem is based totally on the idea of role vector, projection of vectors and dot product.
function vector: role vector suggests the region of a factor in a vector space in terms of the unit vectors in distinct directions.
Dot Product: Dot product is used for representing vectors in scalar shape. it's also called as scalar product.
Projection of vectors-
The projection of a vector on every other vector is in reality understood as obtaining the shadow of the primary vector along the course of the second vector.
first of all, calculate the placement vector of the point C with regards to the point A. Use the expression for the projection of a vector to calculate the projection of vector.
The magnitude of the projected component of F along AC is
This component as a cartesian vector.
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An atom of 65as has a mass of 64.949563 amu. mass of1h atom = 1.007825 amu mass of a neutron = 1.008665 amu calculate the mass defect (deficit) in amu/atom
The mass defect is 0.585942 amu.
Calculationthe provided element is [tex]_{33} ^{65} As[/tex]
atomic number of As = 33
so no of protons = 33
mass number = Number of protons + Number of neutrons
so, no. of neutrons= 65 - 33 = 32
mass of 1 neutron = 1.008665amu
mass of 1 atom = 1.007825 amu= mass of proton
calculated mass = Number of protons*Mass of proton + Number of neutrons*Mass of neutron
= 33 x 1.007825 + 32 x 1.008665
=33.258225 + 32.27728
=65.535505 amu
Given mass = 64.949563 amu
Mass defect = 65.535505 - 64.949563
= 0.585942 amu
Concept of Mass Defect.The mass defect is the discrepancy between the nucleus of an atom’s anticipated mass and its actual mass. This discrepancy is due to the binding energy of a system, which might manifest as excess mass.
A key characteristic of a nucleus is the nuclear mass defect, which has a set value equal to a specific amount of binding energy for that nucleus.
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