The velocity of the third piece 2/11. (13 j - 15i)
What is velocity?Velocity is the directional velocity of a moving object as an indicator of the rate of change of position observed from a particular frame of reference and measured by a particular time standard.Velocity is a vector representation of the displacement an object or particle experiences with respect to time. The standard unit for velocity magnitude (also called velocity) is meters per second (m/s). Alternatively, centimeters per second (cm/s) can be used to express velocity magnitude.Simply put, velocity is the speed at which something moves in a particular direction. For example, the speed of a car traveling north on a highway, or the speed of a rocket after launch.To learn more about velocity from the given link:
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Although nuclear energy is considered a cleaner energy source than fossil fuels, some scientists argue this does not support the claim that nuclear energy is renewable. Which of the following claims best supports the argument that nuclear energy is a nonrenewable energy source?
Nuclear energy is a nonrenewable energy source as it cannot be used as a fuel more than once.
Nuclear energy is a type of energy which releases from the nucleus, the utmost core of atoms. nucleus is made up of protons and neutrons. Nuclear energy can be obtained in two ways: fission: when nuclei of atoms split into many parts & fusion: when nuclei fuse together.
The nuclear energy, which is used to produce electricity around the world today, is through nuclear fission, while technology to generate electricity from fusion is currently in research state. Non-renewable source of energy are those which cannot be used twice or more than once. That's why nuclear energy is considered as the non-renewable force.
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four solid plastic cylinders all have radius 2.55 cm and length 6.24 cm. find the charge of each cylinder given the following additional information about each one
The charge with uniform density 15.9 nC/m^2 everywhere on its surface is 4.8nC, on its curved lateral surface only is 582.5nC, throughout the plastic is 1730.6nC, along the length of the plastic is 174.7nC.
Given the radius of cylinder (r) = 2.55cm = 2.55 x 10^-2m
The length of cylinder (h) = 6.24cm = 6.24 x 10^-2m
The total surface area of cylinder is calculated as: (A) = 2πr(r + h)
Then, A = 2 x 3.14 x 2.55 x 10^-2(2.55 x 10^-2 + 6.24 x 10^-2)
A = 188.8 x 10^-4m^2
The charge on cylinder = q
We know that the charge density is calculated as:
charge = charge density x total area of cylinder
(a) Given the charge density on cylinder a is = 15.9NC/m^2
The charge on cylinder = surface area x charge density
charge = 4πr^2 x 15.9 = 4 x 3.14 x (2.55 x 10^-2)^2 x 15.9 = 4.8nC
(b) the charge density on curved lateral surface only = 15.9nC/m^2
charge = 2πrhx15.9 = 2 x 3.14 x 2.55 x 10^-2 x 6.24 x 10^-2 x 15.9
= 582.5 nC
(c) the charge density throughout the plastic is = 475 nC/m^3
charge = πr^2h x 475 = 1730.6 nC
(d) along the length of the plastic is 64.2 nC/m
charge = πrh x 64.2 = 174.7 nC
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complete question: four solid plastic cylinders all have radius 2.55 cm and length 6.24 cm. find the charge of each cylinder given the following additional information about each one.
Cylinder (a) carries charge with uniform density 15.9 nC/m^2 everywhere on its surface.
Cylinder (b) carries charge with uniform density 15.9 nC/m^2 on its curved lateral surface only.
Cylinder (c) carries charge with uniform density 475 nC/m^3 throughout the plastic.
Cylinder (d) carries charge with uniform linear density 64.2 nC/m along the length of the plastic.
Object A is released from rest at height h. At the same instant, object B is thrown downward from the same location. Which of the following graphs of speed of v as a function of time t is correct for the two objects?
The graph of speed of v as a function of time t that is correct for the two objects is B. B and A parallel with B on top.
The force of gravity is the force by which a planet or other body draws objects toward its center.
When object A is released from rest at height h and at the same instant, object B is thrown downward from the same location, the graph of speed of v as a function of time t is B and A parallel with B on top.
This is because object A is being acted upon by the force of gravity only and is therefore in free fall, while object B is being thrown downward with an initial velocity and also experiences the force of gravity. Both objects will accelerate at the same rate due to gravity, but object B will have an additional initial velocity, so its speed will be greater than object A's at all times.
The problem seems incomplete, it must have been...
"Object A is released from rest at height h. At the same instant, object B is thrown downward from the same location. Which of the following graphs of speed v as a function of time t is correct for the two objects?
A. B and A in a v shape with B on top
B. B and A parallel with B on top
C. B and A with lots of space between them
D. B and A with little space between them
E. B and A close together with A on top"
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an electron is placed at point a in a uniform electric field of magnitude e directed to the right, as shown above. a short time later, the electron is at point b . which of the following statements describes the relationship between the electric field and the motion of the electron?
The relationship is given as (E) A force not associated with the electric field moves the electron from point A to point B. The electric field does negative work on the electron in the process.
We know that electric field is directed from positive terminal to negative terminal, if the electron truly effected by electric field, it should have moved towards the positive terminal, as electron is negatively charged particle. So a net force not associated with electric field moves the electron from A to B. The proton and electron have equal and opposite charge and force F=qE. So when they are placed in uniform electric field, the magnitude of forces are equal.
Hence option E is correct.
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Complete question:
An electron is placed at point A in a uniform electric field of magnitude E directed to the right, as shown above. A short time later, the electron is at point B. Which of the following statements describes the relationship between the electric field and the motion of the electron? The electron experiences a force of magnitude F =qE at point A, which accelerates the electron in the direction of the electric field The electric potential energy of the electron-field system at point A is converted into kinetic energy, causing the electron to move along the field lines. The electron moves through the electric field from a higher electric potential at point A to a lower electric potential at point B D) The electron is accelerated by the electric field in a direction perpendicular to the field lines, causing it to move from point A to point B (E) A force not associated with the electric field moves the electron from point A to point B. The electric field does negative work on the electron in the process.
a 3.40-m-long, 410 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. a 72.0 kg construction worker stands at the far end of the beam.What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?
The magnitude of the torque about the bolt due to the worker and the weight of the beam is 13,798.4 Nm.
.What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?
Torque acting on a body about a point is the cross product of the position vector and the force acting on the body. Its magnitude is given by the formula, $\tau = rF\sin \theta $. Complete step by step answer: The magnitude of torque of a body is given as 2.5 Nm.The magnitude of a torque about a fixed axis is calculated by finding the lever arm to the point where the force is applied and using the relation |→τ|=r⊥F | τ → | = r ⊥ F , where r⊥ is the perpendicular distance from the axis to the line upon which the force vector lies.The magnitude of the torque depends on the force, the direction of the force, and where the force is applied. The magnitude of the resultant vector is r F sin(θ). r is measured from the axis of rotation to the line of the force, and θ is the angle between r and F.To learn more about magnitude refers to:
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Below are several statements. Each statement can best be classified as either a law or a theory, Please select each statement that is best classified as a law. a. When a gas rises in temperature, we believe that it is due to increased motion of the molecules. b. Gravity explains why planets remain in their orbits.
c. There is strong evidence to suggest that earthquakes are due to moving parts of the earth's crust that we call plates d. Force equals mass times acceleration e. When we see several layers of rock, the lower layers are older. f. With all other conditions remaining stable, we observe that as the pressure of a gas increases, the temperature also rises. g. Likewise, when the temperature rises, the pressure rises. h. Kepler developed a set of rules to describe the motion of the planets. i. Based on the available data and our current understanding, it seems that the Universe began with a sudden expansion of space
Below are several statements. Since scientific law is a statement of the results of the relationship between facts and usually uses a formula or mathematical equation, the statement that is best classified as the law is
a. When a gas rises in temperature, we believe that it is due to the increased motion of the molecules.
d. Force equals mass times acceleration.
f. With all other conditions remaining stable, we observe that as the pressure of a gas increases, the temperature also rises.
g. Likewise, when the temperature rises, the pressure rises.
A scientific law is a statement in the world of science that starts from a hypothesis and is proven by experiments involving theoretical hypotheses. Experimental results can support the hypothesis theory and can prove its truth. Usually, this is reinforced by mathematic formulas. Historically, the laws of science have been inspired by scientific experiments and created on the basis of critical thinking or by some chance circumstances.
While a scientific theory is a concept or construction that is related to one another, with an emphasis on boundaries, and systematic prepositions, and carried out based on the presence of symptoms. Because the existing symptoms can be used to determine the relationship between one variable and another, according to the expected goals.
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What blew up billions of years ago in space
Answer:
i'am a french personn i use a traductor
Explanation:
Des astronomes ont débusqué une explosion cosmique vieille de 10,5 milliards d'années. Une énorme explosion cosmique vieille de 10,5 milliards d'années: des astronomes annoncent mardi avoir découvert la supernova, une étoile en fin de vie, la plus lointaine jamais détectée
Which of the following best describes a set of conditions under which archaeoastronomers would conclude that an ancient structure was used for astronomical purposes?
They find that, looking out from the center of the building, there are two windows that align with the rise and set points of two bright stars.
The structure has the same dome shape as modern astronomical observatories.
The structure consists of lines in the desert that make patterns visible only from high above.
The structure has holes in the ceiling that allow viewing the passage of constellations that figure prominently in the culture's folklore, and many other structures built by the same culture have ceiling holes placed in the same way.
The building contains ceiling apertures that enable viewing of constellations that are prominent in the folklore of the culture, and many other structures constructed by the same civilization also have ceiling holes arranged in the same manner.
Folklore is the collective memory of a group of people and it contains the traditions particular to that culture, subculture, or community. Orally transmitted myths, lore, adages, and jokes are included in this. The group's material culture, which ranges from conventional construction designs, is one of these. Folklore also includes customary beliefs, forms and rituals associated with holidays like Christmas and weddings, folk dances, and initiation rituals.Each of them is regarded as a folklore artifact or a traditional cultural manifestation, either separately or together. Folklore includes the transmission of these artifacts from one place or generation to the next, which is just as important as the form.
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____ is to genetic influences as ___ is to environmental influences
"Nature" is to genetic influences as "Nurture" is to environmental influences.
Explain the difference of Nature and Nurture?The phrase "nature vs. nurture" refers to the debate over how much "nature" or "nurture" contributes to an individual's traits.
While "nurture" can relate to upbringing as well as life experience more broadly, "nature" refers to innate biological characteristics (specifically genetics).
The way the phrase "nature vs. nurture" is written gives the impression that either a person's genes or their upbringing determine their personality traits, IQ, preferences, and other qualities. Scientists have demonstrated that reality is more complex and that these as well as other elements can contribute to the explanation of the wide range of individual differences.Thus, theories emphasizing the importance of either education and experience but rather biological nature had also risen and fallen in popularity throughout the modern era, with genetics increasingly recognized as a key factor in determining uniqueness in the latter 20th century and even beyond.
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Consider the scatter plot.
Select an answer from the drop-down menu to correctly complete the statement.
The scatter plot shows a
Choose...
association.
Scatter plot of 10 points. Generally, the points form an upside down U shape.
Linear, exponential, and U-shaped are several ways to characterise the correlation's shape.
What is a scatter plot Mcq?Using a scatterplot, you can see how one variable's scores are compared to another variable's scores. Values that emerge in the data frequently. a bunch of data's mean value.Positive or negative directions can be used to describe the direction of a scatter plot. The direction is positive if the points of the scatterplot move up from left to right or if the explained variable rises as the explanatory variable rises.In scatterplots, we frequently see patterns or connections. When the y variable tends to rise as the x variable rises, we say the variables are positively correlated. A negative correlation between the variables is present when the y variable tends to fall as the x variable rises.To learn more about shape refer to:
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because the conducting shell creates zero field inside itself, it also has no effect on the field inside the sphere. therefore, write an expression for the field in region 1 as that due to the sphere:
The electric field in region 1, due to the sphere, can be expressed as:
[tex]E1 = (1/(4\pi e_0 )) * (Q/r^{2} )[/tex],where Q is the charge of the sphere, r is the distance from the center of the sphere, and ε0 is the permittivity of free space.
An electric field is a force field created by a charged particle that exerts a force on other charged particles in the vicinity. It is measured in units of Volts per meter (V/m). The electric field is a vector quantity, meaning it has both magnitude and direction.
The electric field is defined as the force experienced by a unit charge placed in the field. The magnitude of the electric field is proportional to the charge, and the direction of the field is determined by the direction of the force. Electric fields can exist between two charged objects, or between a charge and the ground. Electric fields can also be generated by electric currents, where they are called magnetic fields.
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to be safe during a lightning storm, it is best to be to be safe during a lightning storm, it is best to be inside a wooden building without any grounding. inside a metal car. on a metal observation tower. next to a tall tree in a forest. in the middle of a grassy meadow.
To be safe during a lightning storm, it is best to be to be safe during a lightning storm, it is best to be inside a metal car.
As the car is made up of metal, it acts as a good conductor and conducts energy from the lightning to the grounded rubber tires.
Being inside a wooden building is not good as wood is a bad conductor.
Staying on metal observation tower is bad as the charges on the tower are attracted to the clouds and lightning strikes you.
It is not safe to stay under tall trees as the charge may jump from trees to you as wood is a bad conductor.
In the middle of grassy meadows is bad as you are taller than surrounding and your are a good conductor.
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Which figure below shows the correct vector
relationship between voltage and current in a
parallel LC circuit?
IL
1 poin
Ic
The capacitive current would be lead by the inductive current. Option A
What is the current and the voltage?We know that the current is the flow of electrons in the circuit. The cutrrent and the voltage in the cell can be related by the use of the Ohm's law. When we have the RLC circuit, the voltage and the current may lead or lag each other by a phase angle.
A vector diagram can be used to show the way that the voltage does lead or lag the current in the case of the LC circuit as we can see from the complete question shown in the image attached.
Hence, we can see that the indictive current leads the capacitive current.
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A 0.76 kg ball is dropped from a height of 22 m. It strikes the ground with an impact speed of 15.6 m/s. The acceleration of gravity is 9.8 m/s². How much mechanical energy is lost to non- conservative forces? Answer in units of J. Answer in units of J.
Answer:
71 J
Explanation:
You want the energy lost to non-conservative forces when a 0.76 kg ball is dropped from a height of 22 m and impacts the ground at 15.6 m/s.
Potential energyThe potential energy of the ball is ...
PE = mgh
PE = (0.76 kg)(9.8 m/s²)(22 m) = 163.856 J
Kinetic energyThe kinetic energy the ball has when it strikes the ground is ...
KE = 1/2mv²
KE = 1/2(0.76 kg)(15.6 m/s)² = 92.4768 J
Lost EnergyThe energy lost during the fall is ...
PE -KE = lost energy
163.856 -92.4768 = 71.3792 . . . joules
About 71 joules of mechanical energy is lost.
electric field and electric force .are synonyms referring to the same thing unselected are not the same because electric field refers to the effects of multiple electric forces unselected are unrelated to each other unselected are related quantities, but not the same thing
Electric field and electric force are related quantities, but not the same thing.
The strength of the electric field is defined as the electrostatic force experienced by a small test charge [tex]q_{0}[/tex] placed at that point divided by the charge itself. The electric field is a vector quantity, and its direction is the same as the direction of the force on a positive test charge.
The strength of the Electric field at a point can also be checked by the density of electric field lines present at that point.
The S.I unit of the Electric field is Newton per columb.
The S.I unit of force is Newton.
[tex]F = E \ q_{0}[/tex]
F= electrostatic force
E= electric field
[tex]q_{0}[/tex] = test charge
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for the pulley system shown, determine the acceleration and velocity of block a after block b has fallen for 3 seconds from rest. block b accelerates at 0.5 m/s2. (0.25 m/s2, 0.75 m/s)
At the time when the Acceleration of b is 0.5 the acceleration would be 0.25 m/s2 and the velocity would be 0.75 m/s after 3 seconds of falling B.
The relation between the acceleration of 2 bodies in this situation will be as a1 = 2a2 where a1 is the acceleration of body1 and a2 is the acceleration of body2. So given the acceleration of the body at 3 seconds is 0.5 m/s2 so the acceleration of body1 would be half of the body1.
Similarly for velocity using v= u+ at ....(i). we can find the velocity of body1 as we have acceleration(a), time(t), And Initial Velocity(u).
u= 0 ................ (As the body starts from rest)
a = 0.25m/s2 .........(calculated on the basis of the acceleration of body2)
t = 3 Seconds ---(As given)
So from (i) we can say
v = 0+ 0.25*3 => v = 0.75 m/s
So the velocity of body 1 will be 0.75m/s after 3 seconds of falling down.
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in the town of centralburg (figure 1), which is laid out in a uniform block grid, the grocery store is three blocks east and four blocks north of the post office. which of the following is a correct equation for the quantities represented in this scenario?
a. tan (θ) = dn/de
b. sin (θ) = dn/de
c. θ = dn/de
d. arctan (θ) = dn/de
The correct equation for the quantity represented in the centralburg city scenario laid out in a uniform grid of blocks, the grocery store is three blocks east and four blocks north of the post office is tan (θ) = dn/de (option A)
Take a look at the image below (figure 1)
To determine tan (θ) = opposite side/ adjacent side.
Now, according to the figure,
The angle's opposite side is dn and the adjacent sides is de.
A right-angled triangle serves as the foundation for the three primary trigonometric functions: sine, cosine, and tangent.
The opposite side, adjacent side, and hypotenuse of a triangle are denoted by:
The terms "opposite" and "adjacent" refer to the opposing and adjacent angles.
Put these values into the formula now,
Which results in the equation,
tan (θ) = dn/de
Now, it is clear from the options provided that option A is correct.
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steve had a stroke last year. although he can remember many things from his childhood, he is unable to remember what he just ate for breakfast. it is most likely that the stroke: please choose the correct answer from the following choices, and then select the submit answer button. answer choices brought on alzheimer's disease.
Steve had a stroke last year that most likely the stroke has damaged his frontal lobes.
Stroke can be explained as a condition that occur when sufficient blood does not flow to the brain or due to insufficient flow of blood to the brain. Stroke should be treated as an immediate emergency case as it can lead to difficult walking, talking or paralysis and many more worst cases.
When a person's frontal lobes is damaged the brain may not function properly again and stroke is one of the cause of damaged frontal lobe.
Therefore if he is unable to remember what he just ate for breakfast. it is most likely that the stroke: damaged his frontal lobes.
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Bio-gas is an excellent fuel. Justify the statement by giving 2 sources.
Answer:
Biogas is one of the types of biofuels that is produced by the decomposition of organic substances. Biogas is an excellent fuel.
Explanation:
Reasons are as follows:
1. It is a type of renewable source of energy that has high calorific value also.
2. It is clean source of fuel that leaves no residue like ash in coal, wood burning.
Depending on the type of organic matter used for decomposition during waste treatment technology and hence composition of biofuel varies. The main constituent of biogas is Methane (75%).
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Your family is moving to a new apartment. While lifting a box 1.5 m straight up to put it on a truck, you exert an upward force of 300N for 1.0 s. How much power is
required to do this?
O 450 Watts
O 340 Watts
O 600 Watts
O235 Watts
Power required= 450 watts
solution:
Given,
Force(F)= 300N,
Time(t)= 1.0s,
Distance(d)= 1.5m,
Power(p)=?
Power(p)=work/time,
Work=Force*Distance=F*d
=300*1.5 =450J
Power(p)= 450/1.0
=450 Watts
Power required= 450 Watts
When a metal surface is illuminated with light of wavelength 437 nm, the stopping potential for photoelectrons is 1.67 V. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, e = -1.60 × 10-19 C, 1 eV = 1.60 × 10-19 J, mel = 9.11 × 10-31 kg)
(a) What is the work function of the metal, in eV?
(b) What is the maximum speed of the ejected electrons?
The work function of the metal is found to be 1.13eV and the speed of the ejected electrons is found to be 7.8 x 10⁵ m/s.
The wavelength of the light used for illumination is 437 nm.
The stopping potential is given to be 1.67V.
The required values are also given,
(a) The work function is found as,
Ve + W = E
E is the energy of the light,
V is the stopping potential,
W is the work function,
Putting values,
1.67eV + W = 1240/437eV
W = (2.8- 1.67)eV
W = 1.13eV.
The work function of the metal is 1.3eV.
(b) The maximum speed of the ejected electrons,
Kinetic energy = stopping potential
1/2mv² = 1.67 eV
v² = 1.67 x 1.67 x 10⁻¹⁹ x 2/9.1 x 10⁻³¹
v₂ = 6.1 x 10¹¹ m/s
v = 7.8 x 10₅ m/s.
So, the speed of the electron is 7.8 x 10⁵ m/s.
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which is the best example that something has kinetic energy? question 17 options: a piece of coal before it's burned a tennis ball rolling across the court
Complete Question: Which the best example that something has kinetic energy ___________.
A. Car parked on steep hill.
B. Tennis ball rolls across court.
C. Picture hangs on wall.
D. Piece of coal before being burned
The best example of something with kinetic energy is option B) where a tennis ball is rolling across the court. This is because it is in a state of motion.
An object's energy due to its motion is referred to as kinetic energy. You require effort to move a body with mass from rest to a particular velocity. Body has kinetic energy that it got when it was being accelerated until and unless there is a change in speed.
In the option B, the tennis ball is rolling across the court. This means that it has covered a particular distance in some time, due to which it has attained some speed and possesses acceleration. Due to the change in its motion state, some energy will get stored in it, which entirely depends on its mass and velocity.
In option A, a car is parked which means it is in a state of rest and doesn't possess any speed. As it isn't in motion, it doesn't have kinetic energy.
In option C, a picture is hanging on the wall at a particular height from the ground. It is static and doesn't have any motion due to which there is no kinetic energy. But it will have potential energy.
In option D, a piece of coal before is burned is not in a state of motion but in a change of physical state. Therefore, it isn't a perfect example for kinetic energy.
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The researchers calculated a chi-square value of 29.25. If there are three degrees of freedom and the significance level is p=0.05, which of the following statements best completes the chi-square test?
The chi-square test indicates that the observed data is statistically significant, as the chi-square value of 29.25 is greater than the critical value of 7.815 at the 0.05 significance level and three degrees of freedom.
What is chi-square test?The chi-square test is a statistical test used to determine if there is a significant difference between observed frequencies and expected frequencies in one or more categories. It is commonly used in hypothesis testing to compare the observed data to expected data, and to measure how well a particular model fits the data. The chi-square statistic is calculated by subtracting the expected frequencies from the observed frequencies, squaring each of the differences, and then summing them. The result is then compared to a chi-square table to determine the probability that the observed data did not differ from the expected data.
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imagine that you are floating on the international space station, tossing a bag of dried ice cream to a fellow astronaut. Which of the choices describes an action–reaction force pair for a space station containing astronauts in orbit about the earth?
(A) The weight of the astronauts and the centripetal force on the space station.
(B) The weight of the space station and the centripetal force on the space station.
(C) The weight of the astronauts and the gravitational force of the space station on the astronauts.
(D) The weight of the space station and the gravitational force of the space station on the earth.
The weight of the astronauts and the gravitational force of the space station on the astronauts describes the action-reaction force pair in the space.
According to Newton's law of gravitation, every objects attracts every other object in the universe with a force called gravitational force. This force is directly proportional to the product of the objects' masses and inversely proportional to the square of the distance(d) between them.
F = gMm/d²
Now according to the third law of newton every force has an equal and opposite reaction. So the gravitational force of the space station will be equal to the weight of the astronauts on the space station.
Hence the correct option is C.
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Match the following terms and definitions.
1. ratio of densities
2. measure of pull of gravity
3. mass divided by volume
4. Archimedes' Principle
__specific gravity
__weight
__density
__buoyancy
1. ratio of densities-> specific gravity 2. measure of pull of gravity-> weight 3.mass divided by volume-> density 4. Archimedes' Principle-> buoyancy
The ratio of densities is also called as Specific gravity which is used for comparing two different substances of different densities take the example of water and milk both have different densities and that ratio is called specific gravity. And it does not have any SI Unit as it is a simple ratio.
The weight is defined as the pulling of the mass by gravity or the force exerted by a mass on the surface. which has SI Unit as N.
Density is the mass per unit of volume so it makes a simple formula as Mass divided by volume which has si unit as kg/m3.
Buoyancy is also a force a body exerts on the surface of the liquid which is based upon Archimedes' Principle.
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within a study, the factor that does not change is the: please choose the correct answer from the following choices, and then select the submit answer button.
Within a study, the factor that does not change is the Independent variable. It is the variable that is controlled and changed by the experimenter.
The independent variable is the factor that is manipulated or changed in an experiment to observe the effect on the dependent variable. Examples of independent variables include temperature, amount of light, or amount of water. An independent variable is exactly what it sounds like. It is an independent variable that has no bearing on the other factors you are attempting to evaluate. For example, age may be an independent variable. For example, if you were analyzing how the amount of sunlight affected the development of a certain plant type, the amount of sunlight would be the independent variable. Each plant receives a different amount of light, which may be altered. Growth is the dependent variable. It is a result of the amount of sunlight.
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Find the following for path D in Figure 2.59:
(a) The distance traveled. (b) The magnitude of the displacement from start to finish. (c) The displacement from start to finish.
Answer choise:
A. 8 m
B. 4 m
C. -4 m
(a) A total distance of 8 + 4 = 12 metres. (b) The displacement of C is 8m in magnitude. (c) The displacement is (8m)i from beginning to end.
a) Point The first step of C's journey begins at x=2 and ends at x=10, covering a distance of (10-2) = 8m. In the second step, C travels to x=8 and returns to x=10m. A distance of 2 is equal to 2 * (20-8) = 4 metres.
= 8+4=12 metres is the total distance travelled.
b) The displacement is the distance between two locations in a figure that is the shortest. In the example in the picture, C begins its journey at x=2m and ends at x=10m; the distance between these two points is (10-2) = 8m, therefore the displacement of C is 8m.
C) We now understand that the displacement has a magnitude of 8m and a direction parallel to the positive x-axis.
From beginning to end, there is a (8m)i displacement.
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a construction crew is lengthening a road that originally measured miles. the crew is adding one mile to the road each day. the length, (in miles), after days of construction is given by the following function.
As the crew is adding one mile to the road each day, so the length of the road after 27 days is 79 miles.
A collection of skilled workers, including a supervisor, a construction manager, a distinct maintenance staff, and a team of specialist labourers, make up an efficient construction crew. Employees must actively participate in the prevention of hazardous situations as they have a significant role to play.
A road construction crew assists with new road and sidewalk creation, repairs to or improvements to current roads, and the burying of wires underneath the local roads. They are also known as vehicle restraining operators and highway maintenance operators.
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A construction crew is lengthening a road that originally measured 52 miles. The crew is adding one mile to the road each day. The length, L (in miles), after d days of construction is given by the following function. L = 52 + d. what is the length of the road after 27 days?
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use mechanics equations to solve the problem.
F = Gm1m2/r2 is one way to conceptualize it mathematically.where F denotes the gravitational force between two objects, expressed in Newtons (N). The answer is 7.4125x10²⁸ kg .
Find the gravitational force ?As a result, the gravitational pull between the earth and the moon is 2 10 20 N.Equation for Gravitational Force F = Gm1m2/r2 is one way to conceptualize it mathematically.
where F denotes the gravitational force between two objects, expressed in Newtons (N).
6.674 10-11 Nm2kg-2 is the value of G, the universal gravitational constant.
Given:
r = 3.8x10⁵ km = 3.8x10⁸ m, the distance between the earth and moon,
F = 20.46x10²⁵ N, the gravitational force between the earth and the moon,
G = 6.674x10⁻¹¹ m³/(kg-s²), gravitational constant
M = 5.972x10²⁴ kg, the mass of the earth.
Let m = mass of the moon.
F = (G*M*m)/r^2
m = [20.46×10²⁵ * (3.8×10⁸)²]/[6.674×10⁻¹¹ * 5.972×10²⁴]
= 7.4125×10²⁸ kg
7.4125x10²⁸ kg
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A soft ball pitcher applies 4N of force to a softball for 0.5 seconds. What is the objects momentum
Answer:
The answer is 2 kgm/s.
Explanation:
We see that Impulse = FT = mv but in this case..
we have only a force and time which, of course happens to be the Impulse and NOT the momentum.
I = FT = P
(4)(0.5)
= 2 kgm/s or Ns?
Well the answer in fact is 2 kgm/s.
That is in fact the CORRECT answer not that it can not be identified. It can and is 2 kgm/s since we are talking about Momentum