The magnitude of the force exerted by the electric field on the proton will be 4.80 × 10—¹⁷ N.
The force exerted by the electric field on the electron =
4.80 × 10—¹⁷ N.
The direction of the electric field that is exerting force on the electron = West
The magnitude of the electric field is,
[tex]= \frac{4.80 \times 10 ^{ - 17} }{1.6 \times 10 ^{? - 19} }[/tex]
= 300 N/C
The magnitude of the electric field is 300 N/C.
The magnitude of the force exerted by the electric field on the proton will be,
The magnitude of the force exerted by the electric field on the electron = The magnitude of the force exerted by the electric field on the electron.
[tex]= 4.80 \times 10 ^{ - 17}[/tex]
Therefore, the magnitude of the force exerted by the electric field on the proton will be 4.80 × 10—¹⁷ N.
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According to history, the concept that all matter is composed of atoms was first proposed by.
The Greek philosopher Democritus, but not widely accepted until modern times.
Who first proposed the idea of atoms?It is believed that Leucippus of Miletus, who lived in the fifth-century bce, invented the atomic philosophy. About 430 BCE, his illustrious pupil Democritus of Abdera gave the fundamental components of matter the atomos—literally, "indivisible"—name.The concept of the atom was first proposed by the Greek philosopher Democritus in 450 B.C.The oldest person whose dedication to atomism is extensively documented is Leucippus (5th century BCE). He is typically given the credit for developing atomism.John Dalton, an English chemist, conducted several experiments in the early 1800s that helped solidify the concept of atoms. After the "dead of chemistry" in the previous 2000 years, he created the first atomic theory. Dalton proposed the idea that atoms make up all matter.According to history, the concept that all matter is composed of atoms was first proposed by: the Greek philosopher Democritus, but not widely accepted until modern times
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A girl on a backyard trampoline bounces straight upward with an initial speed of 4.5m/s. What is the girl's velocity when she returns to the trampoline?
(I would like a step-by-step explanation so I can understand the answer please. Thank You)
Answer: Final speed,Vf= -4.5m/s
It is the same speed but in opposite direction,coming down against gravity.
Explanation:
Calculating distance,d= (Vf^2-Vo^2)/2g
d=(0-4.5^2)/(2×9.8)
d= -20.25/19.6
d= -0.053m
Vf^2=Vo^2 + 2gd
Vf= Sqrt(0 +2×9.8(×-0.053))
Vf=V=-4.5m/s
show that the decay of power density for a wave radiated by an antenna (1/r2) results from the increase in the area of a sphere centered on the antenna and the fact that the total radiated power is conserved.
The answer is P/4π[tex]r^{2}[/tex] or 1/r2
How to calculate radiated power density?Radiated power density = S
Radiator = r
S = K/r2
Area of the sphere surrounding the antenna [tex]A_{sph}[/tex] = 4π[tex]r^{2}[/tex]
The total power radiated through a sphere of radius r is
P = [tex]S[/tex][tex]A_{sph}[/tex] = (K/r2)4π[tex]r^{2}[/tex]
= 4πK≈r°
Therefore,
The total power radiated remains constant with radius
S = P/[tex]A_{sph}[/tex]
= P/4π[tex]r^{2}[/tex] or 1/r2
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Matching Scientists with Atomic Models
Which scientist and atomic model are correctly matched?
Bohr – plum pudding
Thomson – electron cloud surrounds nucleus
Rutherford – plum pudding
Schrödinger – electron cloud surrounds nucleus
The correct answer is option 4 Schrödinger.
The distribution of electrons within Thomson's model's positively charged region of space quickly earned it the informal moniker "plum pudding," since it reminded many scientists of the raisins—then known as "plums"—found in the traditional English delicacy plum pudding.
Erwin Schrodinger's Electron Cloud Model. With the help of this concept, electrons were no longer pictured as being in a fixed orbit around a central nucleus.
In a series of publications published in 1926, Schrödinger addressed the problem of wave functions and electrons. He utilised mathematical calculations to quantify the probability of finding an electron in a particular position in addition to describing what would later be known as the Schrodinger equation, a partial differential equation that explains how the quantum state of a quantum system varies with time.
This served as the foundation for the Schrodinger equation and the Electron Cloud (quantum mechanical) Model, respectively. The Electron Cloud Model, based on quantum theory, which holds that all matter has qualities related to a wave function, is different from the Bohr Model in that it does not specify the precise route of an electron.
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An object is lifted from the surface of a spherical planet to an altitude equal to the radius of the planet. As a result, what happens to the mass and weight of the object?.
An object is lifted from the surface of a spherical planet to an altitude equal to the radius of the planet. The mass remains the same but the weight of the object decreases.
As the object goes up the surface of a spherical planet, the force of gravity acting on the object decreases.
According to the gravity at height formula:
g1 = g (1 – 2h/R)
where g1 is the gravity at height h. R is the radius of the planet and g is the gravity at the planet's surface.
Now,
The weight is directly proportional to gravity. As the object goes up, the gravity decreases and hence the weight also decreases.
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What is s = vt - 1/2at^2 used for?
Answer:
See below
Explanation:
The position or displacement (s) of a body is given by
the original velocity times time - 1/2 acceleration times time ^2
The minus sign indicates this may be a gravity acceleration (9.81 m/s^2 or 32.2 ft/s^2 ) of a free falling body
THIS equation also indicates that the INITIAL position,s is equal to zero
the full equation is more like this
sf = so + vo t + 1/2 a t^2
sf = final position so = original position vo = original velocity
In which example would you be correct in describing an object in motion while
your friend would also be correct in describing that same object as being at
rest? *
a. you are driving a car toward the east and your friend drives past you in the opposite
direction with the same speed. in your frame of reference, you will be in motion. in
your friend's frame of reference, you will be at rest.
b. you are driving a car toward the east and your friend is standing at the bus stop. in
your frame of reference, you will be in motion. in your friend's frame of reference, you
will be at rest.
c. you are driving a car toward the east and your friend is standing at the bus stop. in
your frame of reference, your friend will be moving toward the west. in your friend's
frame of reference, he will be at rest.
d. you are driving a car toward the east and your friend is standing at the bus stop. in
o your frame of reference, your friend will be moving toward the east. in your friend's
frame of reference, he will be at rest.
The example that would be correct in describing an object in motion while your friend would also be correct in describing that same object as being at rest is option c. you are driving a car toward the east and your friend is standing at the bus stop. in your frame of reference, your friend will be moving toward the west. in your friend's frame of reference, he will be at rest.
What is an object in motion?Newton's first law of motion is known to be a law that is often known to be the law of inertia.
It is said to be one that states that an object that are found at rest are those that often stays at rest, and an object that are known to be in motion do often stays in motion and this is done in/with the same speed and in the same direction and it is only altered if it is said to be acted upon by a kind of an unbalanced force.
Option C was chosen because when one is moving in one direction in a vehicle, the object outside often moves in the opposite direction.
Therefore, The example that would be correct in describing an object in motion while your friend would also be correct in describing that same object as being at rest is option c. you are driving a car toward the east and your friend is standing at the bus stop. in your frame of reference, your friend will be moving toward the west. in your friend's frame of reference, he will be at rest.
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What are the concentrations of hoac and oac- in a 0.2 m acetate buffer at ph 5.00? the ka for acetic acid is 1.70 x 10-5
The concentration of Hoac and oac in a 0.2 m acetate buffer at ph 5.00 is 0.1178M.
CalculationKa of Acetic Acid= 1.7 x 10^-5.
So pKa= - log (1.7 x10^-5) = 4.7695 ~4.7
But pH= pKa+ log(salt/acid)
pH= 4. 77+log(salt/acid) = 5.00
So, log (salt/ acid) = 5.00- 4.77= 0.23. So, salt/acid= 10^0.23=1.6982.
Therefore, if the concentration of acetate ion (CH3-COO-) is 0.2 M, the concentration of CH3-COOH =0.2/1.6892= 0.1178M
What is the HOAc concentration?The amount of HOAc molecules and OAc- ions are now both present in the same quantity. The concentration of the H3O+ ion at Point B is equal to the value of Ka for the acid since the ratio of the concentrations of HOAc and OAc- is 1:1.
This gives us a means to calculate an acid’s Ka value.
How do you determine an acetate buffer’s pH?You’ll need different amounts of buffer, so check with your instructor or the protocol to see how much you’ll need.
The Henderson-Hasselbalch equation, pH = pKa + log (acetate concentration/acetic acid concentration), can be used to calculate the ratio of acetic acid to acetate concentration.
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2 soccer players kick a ball at the same instant. one strike a force of 40N at 0° and the other 30N at 90° from positive x axis. find the resultant force on the ball
The resultant force on the ball is 50 N.
What is resultant force?Reusltant force can be defined as the sum of the force acting on a object.
Note: From the question, the forces from both kicks are at right angle to each other.
And to calculate the resultant force on the ball, we use the formula below.
Formula:
R = √(P²+Q²)........... Equation 1From the question,
Given:
P = 40 NQ = 30 NSubstitute these values into equation 1
R = √(40²+30²)R = √(1600+900)R = √(2500)R = 50 NHence, the resultant force on the ball is 50 N.
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According to the second law of thermodynamics, increases when energy is transferred from one form to another and some energy is lost as heat in the process.
According to the second law of thermodynamics, entropy increases when energy is transferred from one form to another and some energy is lost as heat in the process.
What is the second law of thermodynamics?The Second Law of Thermodynamics states that in an isolated system, the entropy of the entire system will increase over time a given period of time.
Entropy is a measure of the degree of randomness or disordeliness of a system.
According to the second law of thermodynamics, entropy increases when energy is transferred from one form to another and some energy is lost as heat in the process.
The second law of thermodynamics confirmed that as energy is transferred or transformed from one isolated system to another, the randomness of the system will increase.
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You throw a baseball horizontally with a velocity of 1.6 E 1 m/s. It lands on the ground 9.4 m from your feet.
a. Determine the magnitude of the height that the ball was thrown from
it's 30 cause you só handsome
falling parachutist you bail out of the helicopter of example 3 and pull the ripcord of your parachute. now in eq. (3), so your downward velocity satisfies the initial value problem in order to investigate your chances of survival, construct a slope field for this differential equation and sketch the appropriate solution curve. what will your limiting velocity be? will a strategically located haystack do any good? how long will it take you to reach 95% of your limiting velocity?
You bail out of a helicopter and immediately open your parachute, so your downward velocity satisfies the initial value problem.
What is velocity ?Velocity is the rate of change in direction of an item in motion as seen from a specific point of view and as measured by a specific unit of time. In kinematics, the area of classical mechanics that studies how bodies move, velocity is a fundamental idea.
A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed, a coherently derived unit whose quantity is measured in the SI (metric system) as metres per second, is the scalar absolute value (magnitude) of velocity. For instance, "5 meters per second" is a scalar while "5 meters per second east" is a vector.
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A processor with a clock period of 0.637 ns will have a clock rate of _____ ghz.
A processor with a clock period of 0.637 ns will have a clock rate of 1.569 Ghz as per the conversion and the calculation made that can be seen below.
What is the pace of a clock?The frequency at which a CPU operates is known as the clock rate. It is the clock's frequency or rate expressed in cycles per second (measured in hertz) in any synchronous circuit.
Most people assume that a quicker processor equals one with a greater clock speed, but there are other considerations.
CalculationThe clock rate can also be defined as the frequency.
So here we can apply the formula
f = 1/T
where f = frequency or Clock rate in Ghz
and T = clock period in ns
Thus, putting the values, we have
f = 1/0.637
⇒ f = 1.569 Ghz
Thus, the clock rate can be calculated as 1.569 Ghz
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4. A bird flies with an average velocity of 7.5 m/s east from one branch to
another in 2.4 s. It then pauses before flying with an average velocity of 6.8
m/s east for 3.5 s to another branch. What is the bird's total displacement
from its starting point?
2
The correct answer is d = 41.8m
The phrase "displacement" refers to a change in the location of an object. It is a magnitude and direction vector quantity. It is represented with an arrow pointing from the beginning to the finish.
The spatial distance between two points is measured via the shortest path between them. Because it is a vector quantity, it has a magnitude and a direction.
Given,
[tex]V_1[/tex]= 7.5 m/s
[tex]t_1[/tex]= 2.4 s
[tex]V_2[/tex] = 6.8 m/s
[tex]t_2[/tex] = 3.5 s
[tex]V_1 = d_1/t_1[/tex]
[tex]d_1 = V_1t_1[/tex]
[tex]d_1[/tex] = 7.5 m/s (2.4 s)
[tex]d_1[/tex]= 18 m
[tex]V_2[/tex] = [tex]d_2/t_2[/tex]
[tex]d_2 = V_2t_2[/tex]
[tex]d_2[/tex] = 6.8 m/s (3.5 s)
[tex]d_2[/tex]= 23.8 m
Total displacement d = [tex]d_1 + d_2[/tex]
d = 18m + 23.8m
d = 41.8m
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A car moving with an initial speed of 16 meters per second is brought to rest uniformly in 4. 0 seconds. How far does the car travel during this 4. 0-second interval?.
Answer:
the car travels 64 meters.
!!Help pleaseee!!
Two cars start at the same point and drive in a straight line for 5 km. At the end of the drive their distances are the same but their displacements are different. Explain how this could happen. Illustrate with a diagram.
The two displacements are different because their direction can be different from each other even if their magnitude is equal.
Displacement is a vector quantity. Its magnitude is equal to the distance traveled by the body only if the body always travels in straight lines. Two displacements may be different even if their magnitude is the same but the direction in which they took place is different
So as we know, 'displacement' always consists of a magnitude and a direction. Given in the question, the two cars that start at the same point have displacements with the same magnitude that is equal to 5 km. But it could be possible that their displacements are different if they drive in different directions, which seems to be the case.
-- 12 m/s² towards the right and 12 m/s² towards the left are different accelerations
-- 30 Kph South-East and 30 Kph South-West are the same speed but different velocities as their directions are different.
-- 10 km North and 10 km South are the same distance but different displacements due to the same reasons.
Therefore the two displacements are different because their direction can be different from each other even if their magnitude is equal.
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Using black's classification of cavities, decay in the pit and fissures of the occlusal surface of molars and premolars is considered a class___ restoration or cavity.
Using black's classification of cavities, decay in the pit and fissures of the occlusal surface of molars and premolars is considered a class one restoration or cavity.
What are cavities?
Cavities can be described as permanently damaged areas in the hard surface of your teeth that develop into tiny openings or holes.
Decay in pits and fissures of occlusal surfaces of molars and premolars, the buccal or lingual pits of molars, and the lingual pits of maxillary incisors are referred to as class one restoration or cavity according to Black's classification of cavities.
Cavities when left untreated can cause more serious complications, like a tooth abscess or an infection that gets into your bloodstream, which may in some cases be life threatening.
The causes of cavities being formed might include bacteria, eating too much snacks, sipping sugary drinks and poor teeth cleaning.
In conclusion, cavities might not have symptoms.
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the football team at enormous state university (esu) uses vector displacements to record its plays, with the origin taken to be the position of the ball before the play starts. in a certain pass play, the receiver starts at 1.0i^−5.0j^, where the units are yards, i^ is to the right, and j^ is downfield. subsequent displacements of the receiver are 7.0i^ (he is in motion before the snap), 8.0j^ (breaks downfield), −7.0i^ 3.0j^ (zigs), and 11.0i^ 12.0j^ (zags). meanwhile, the quarterback has dropped straight back to a position −7.0j^.
The quarterback will throw the ball 44.4 yards in a particular direction with the angle of 54.16 °
We shall use the ideas connected to the vector sum to develop this issue. To achieve this, we will add the person's displacement vectors to determine the total distance he has gone from the initial point (0 position) to the destination position.
[tex]\overrightarrow R[/tex] = [tex](+1.0 \^{i} - 5\^{j}) + (7\^{i}) + (+12\^{j}) + (6.0\^{i} + 4.0\^{j}) + (+ 12.0\^{i} + 18.0\^{j})[/tex]
[tex]\overrightarrow R[/tex] = [tex]26\^{i} + 29\^{j}[/tex]
subtracting the quarterback's position [tex]\overrightarrow Q[/tex]
[tex]\overrightarrow Q[/tex] = [tex]-7.0\^{j}[/tex]
We can now get the relative location of the two individuals by subtracting the vectors; hence, the position between the individual and the quarterback is
[tex]\overrightarrow R[/tex] - [tex]\overrightarrow Q[/tex] = [tex]26\^{i} + 29\^{j}[/tex] - ([tex]-7.0\^{j}[/tex])
= [tex]26\^{i} + 36\^{j}[/tex]
The magnitude of the relative distance would be calculated using vector characteristics
[tex]|\overrightarrow R - \overrightarrow Q|[/tex] = [tex]\sqrt{26^2 + 36^2}[/tex]
[tex]|\overrightarrow R - \overrightarrow Q|[/tex] = 44.40 yards
The vector's direction would be determined by the tangent of the two vectors, which is
[tex]\theta = tan ^{-1} (\frac{36}{26} )[/tex] = 54.16°
As a result, with regard to 54.16 °, the quarterback will throw the ball 44.4 yards in one direction.
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Full question
At Enormous State University (ESU), the football team records its plays using vector displacements, with the origin taken to be the position of the ball before the play starts. In a certain pass play, the receiver starts at +1.0 i^ - 5.0 j^, where the units are yards, i^ is to the right, and j^ is downfield. Subsequent displacements of the receiver are +7.0 i^ (in motion before the snap), +12 j^ (breaks downfield), ?6.0i^+4.0j^ (zigs), and +12.0i^+18.0j^ (zags). Meanwhile, the quarterback has dropped straight back to a position ?7.0j^.
Part A
How far must the quarterback throw the ball? (Like the coach, you will be well advised to diagram the situation before solving it numerically.)
Part B
In which direction must the quarterback throw the ball?
Joanna claims that a large block of ice will cool a substance more than a small block of ice will at the same temperature. To support her claim, Joanna places two blocks of ice, one larger than the other, into separate beakers each containing some water. She compares the final water temperatures of the two beakers after each block of ice has melted.
She puts each block of ice in the same 3000 mL beaker, each with 2000 mL of water at room temperature, and measures the temperature before and after adding ice. Therefore, small blocks of ice will have the same temperature.
Joanna puts two blocks of ice (one larger than the other) into separate cups and fills each with water. She compares the final water temperature of the two cups after each block of ice melts.
Put each block of ice in the same 3000 mL beaker, each at room temperature, put 2000 mL of water in it, and measure the temperature before and after adding ice. This way you keep the water at the same temperature in the beginning, then the temperature changes after you add the ice, giving you a better idea of the final temperature reading.
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The gravitational field on the surface of the earth is stronger than that on the surface of the moon. If a rock is transported from the moon to the earth, which properties of the rock change?.
The property of the rock that will change if it is transported from the moon to the earth, is the weight.
The weight of an object is directly proportional to the action of gravity on the mass of that object. It can be confirmed with the weight formula:
W = m * g
Where:
W = weightm = massg = gravityBy contrast, the mass of an object indicates the amount of matter it contains, it is a constant magnitude.
What is weight?It is the physical magnitude that expresses the force exerted by gravity on the mass of a body, this is expressed in units of the international system in Newton.
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The graph below shows Claire's speed during a parachute jump. At certain points the force of Claire's weight balanced the force of air resistance. Add up the numbers of these points (e.g. 1 and 3 and 5 would be 9).
What's the answer?
The points at which Claire's weight balanced the force of air resistance are 2, 3 and 5. The sum of these points is 10.
What is force?We know that force is a vector quantity. This implies that force has both magnitude and direction. The direction of the force determines the sign that the force would carry. In this case there are two forces that acts on Claire as she jumps out of the parachute. These two forces are the Claire's weight balanced and the force of air resistance.
The two forces tend to act in the opposing directions. The points at which the two forces are balanced, the speed time graph shows a plateau to indicate that the speed is not changing with time.
The points at which Claire's weight balanced the force of air resistance are 2, 3 and 5. The sum of these points is 10.
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An airplane starts from rest and accelerates at a constant 3.00 m/s2 for 20.0 s. What is its displacement in this time?
The displacement in time of an airplane that starts from rest and accelerates at a constant 3.00 m/s² for 20.0 s is 600m.
How to calculate displacement?Displacement is a vector quantity which denotes distance with a directional component.
The displacement (s) of an object equals, velocity (u) times time (t), plus ½ times acceleration (a) times time squared (t²) as follows:
s = ut+ ½at²
Where:
s = displacementu = initial velocitya = accelerationt = times = (0 × 20) + ½ × 3 × 20²
s = 0 + 600
s = 600m
Therefore, the displacement in time of an airplane that starts from rest and accelerates at a constant 3.00 m/s² for 20.0 s is 600m.
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By deflecting cathode rays with a magnetic field thomson was able to measure what property of electrons?.
The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.
What property of the electron did Thomson measure?J.J. Thomson measured the electron's mass in terms of its physical characteristics.Similar experiments were conducted with cathode rays and magnets by William Crookes, who came to the conclusion that cathode rays were made up of negatively charged molecules based on his observations of the rays' deflection by magnetic fields.J.J. Thomson used a Crookes, or cathode ray, tube to conduct experiments that discovered the electron in 1897. He provided evidence that cathode rays have a negative charge.The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.
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Helium-4 and Lithium -6 fuse to form a new product.
The amount of energy an electron can have is a(n)
The amount of energy levels in an electrons are different from element to element.
What is the amount of energy an electron can have is a(n)?
The atom absorbs or emits light in discrete packets referred to as photons, and every photon has a particular power. only a photon with an energy of precisely 10.2 eV can be absorbed or emitted while the electron jumps among the n = 1 and n = 2 power tiers.
Energy Level Energy
5 -2.176 eV
Some elements with their energy level are given below;
Boron 5 3
Carbon 6 4
Nitrogen 7 5
Energy level is define as every shell has a one of a kind strength degree, growing the further it's far from the nucleus. every energy degree is given a number called the predominant quantum number, n. the closest shell has a price of n=1.
So we can conclude that the amount of energy levels in an electrons are different from element to element.
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If the rate of change of [c] is 0. 049 m/min. What is the rate of change of [a] in m/s? hint given in feedback answer:
By unit conversion, the rate of change in m/s is 8.17 x 10¯⁴ m/s.
We need to know about the rate of change unit conversion to solve this problem. The unit conversion of rate change can be used to convert a unit to another unit. It can be defined as
a = xb
where a is unit a, b is unit b and x is the constant of conversion.
From the question above, we know that
Q = 0.049 m / min
Convert time unit to second by using the unit conversion (1 min = 60 s) and we get the rate of change
Q = 0.049 m / 60 s
Q = 8.17 x 10¯⁴ m/s
Hence, the rate of change in m/s is 8.17 x 10¯⁴ m/s.
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a cyclist sprints at the end of a race to clinch a victory. she has an initial velocity of 11.5 m/s and accelerates at a rate of 0.500 m/s2 for 7.00 s. (a) what is her final velocity? (b) the cyclist continues
(a) The final velocity is v{f}}= =15m/s
(b) the cyclist continues the tsaved =5.28s
(c) Δt=4.18s ,d=49.3m
The questions discusses more about:
What is velocity?
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Therefore,
a cyclist sprints at the end of a race to clinch a victory. she has an initial velocity of 11.5 m/s and accelerates at a rate of 0.500 m/s2 for 7.00 s. (a) what is her final velocity? (b) the cyclist continues
(a)v{f}}= =15m/s
(b)tsaved =5.28s
(c) Δt=4.18s ,d=49.3m
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Use dimensional analysis to calculate how many dozen donuts you would need to order to
feed a school of 456 students.
There are 38 dozens donuts needed to order to feed a school of 456 students.
How many dozen donuts you would need to order to feed a school of 456 students?There are 38 dozens of donuts you would need to order to feed a school of 456 students if each student eat one donut. We know that there are 12 units in one dozen so if we do the calculation of 456 divided by 12, we get 38. If each student receives one donut, 38 dozens of donut are required while on the other hand, if each student receives two donuts, then 76 dozens of donut are needed. If each student receives three donuts, then 114 dozens of donut are needed. If each student receives four donuts, 152 dozens of donut are needed.
So we can conclude that there are 38 dozens donuts needed to order to feed a school of 456 students.
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Convert the following number in scientific notation to standard notation: 3 × 10^3
ASAP I NEED IN 3 MINUTES PLS
The number 3 x 10 ³ in scientific notation can be written in standard notation as 3000.
What is Standard notation?Standard notation of a number is when a number is written with only number digits. For example - if the number is 2 x 10², then in standard from it can be written as 200.
Given is a number is a number in scientific notation. The number is -
3 x 10 ³.
Assume that the number -
A = 3 x 10 ³
and its expression in standard notation is B.
In order to write it in standard notation, we have to eliminate the 10ⁿ term which is 10 ³. 10 ³ can be written as 1000. Therefore, the number in standard notation will be -
A = 3 x 1000
A = 3000
Hence, in standard notation the number 3 x 10 ³ in scientific notation is 3000.
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now add a fourth charged particle, particle 3, with positive charge q3 , fixed in the yz-plane at (0,d2,d2) . what is the net force f⃗ on particle 0 due solely to this charge? express your answer (a vector) using k , q0 , q3 , d2 , i^ , j^ , and k^ . include only the force caused by particle 3. view available hint(s)
The net force is F = k × q0 × q3 / 2×[tex]d_{2} ^{2}[/tex] × (1√2 ^j + 1√2 ^k)N
How to find the net force?
Coulomb's law states that the electrostatic force of attraction between two charges separated by a distance r, q 1 and q 2, is given by:
F = k (q1q2/r2)
Coulomb's constant k = 9×[tex]10^{9}[/tex] Nm2/Kg2
Location of charge q3: P (0,d2,d2)
By Coulomb's law, the force on charge q0 due to q3 is:
F = k × q0 × q3 / [tex]d_{2} ^{2}[/tex] × [tex]d_{2} ^{2}[/tex] × (1√2 ^j + 1√2 ^ k)
F = k × q0 × q3 / 2×[tex]d_{2} ^{2}[/tex] × (1√2 ^j + 1√2 ^k)N
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