The force between them when they are separated instead by 12 cm is 5 N.
The force between them when charge A is doubled is 40 N.
The force becomes 80 N if charge B is doubled as well.
Force between two charges
The force between two charge is determined from Coulomb's law of electrostatic force.
f = kq²/r²
when the distance, r is double the force reduces by 4;
f = kq²/(2r)²
f = kq²/4r²
New attractive force when the distance is 12cm, = 20 N/4 = 5 N
Magnitude of force when one of the charge is doublef = k(2q₁)(q₂)/r²
f = 2k(q₁q₂)/r²
New force = 2 x 20 N = 40 N
When charge B is doubled as wellf = k(2q₁)(2q₂)/r²
f = 4k(q₁q₂)/r²
New force = 4 x 20 N = 80 N
Thus, the force between them when they are separated instead by 12 cm is 5 N.
The force between them when charge A is doubled is 40 N.
The force becomes 80 N if charge B is doubled as well.
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One end of a spring with a constant of 9.0 N/m is attached to the ceiling, and a 1.6 kg block hangs from the other end at rest to initiate simple harmonic motion, you gently pull the block down through a vertical distance of 4.4 cm and then release it. The block oscillates in vertical simple harmonic motion How long does it take the block to first reach its highest position after you release it?
The correct answer is t = 0.21 sec.
Spring constant K = 9.0 N/m
Mass of the block = m = 1.6 kg
If the block is stretched away from equilibrium paint by distance y then restoring force is
F_(restoring) = ky = ma
a = (k/m) y
Angular frequency is w = √k/w
Time period of oscillation is T = 2π/ω
T = 2π √m/k
T = 2π × √ 1.6/9.0 sec
T = 0.421 sec
Initially block is released from negative extreme (y =-A)
When block is released from positive extreme ( y = +A)
for first time then it completes half of the complete oscillation. So time taken is equal to half of the time period t= T/2 = 0.421/2 sec
t = 0.21 sec
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A car traveling 93 km/h is 240 m behind a truck traveling 74 km/h . How long will it take the car to reach the truck?
When the automobile arrives at the truck, the two distance functions are equal.
95t−0.210=75t
95t−75t=0.210
25t=0.210
t=0.210
25t=0.0084 hr = 0.504 min = 30.24 s
How fast does light travel in air?Light always moves in a straight line. Light in air travels at 1.0003 times the speed of light in a vacuum, slowing it from 299,792,458 metres per second to 299,702,547 metres per second.
Homepage for Einstein's Big Idea. E = mc2. It's the most famous equation in the world, "Mass multiplied by the speed of light squared equals energy." On the most fundamental level, the equation states that energy and mass (matter) are interchangeable; they are various manifestations of the same thing.
The distance a wave travels in a particular length of time, such as the number of metres per second, is referred to as its wave speed.
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Answer:
t=45.4717
Explanation:
Find the speed of the car
93km/h x 1000m/1km x 1hr/3600s =25.833
Find the speed of the truck
74km/h x 1000m/1km x 1hr/3600s=20.555
(25.833-20.555)t=240
t=45.4717
a fluorescent lamp rated at 100 kw has an efficiency of 20% how much energy is dissipated as heat if the lamp is used for 5 hours?
Energy is dissipated as heat from the lamp is
400 kw
It is given that
power of lamp = 100 kw
efficiency = 20%
time = 5 hour
We have to find the energy of lamp
Efficiency is the measure of how completely work input is connected to work output.
Efficiency = work(out)/work(in) * 100%
Efficiency of visible light = 20%
Energy converted to heat = 80%
Energy = Power * time
Energy = 100 kw x 80% x 5 = 400 kw
Hence, Energy dissipated as heat is 400 kw
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Which of these reactions is a combustion reaction?
O A. burning wood
O B. decomposition of water
O c.
production of food by plants with the help of the Sun's energy
O D.
rotting of fruits and vegetables
Answer:
Option B. Burning of wood.
'A drag racer starts from rest and accelerates uniformly to a speed of 76.5 m/s in 8.5 seconds. what is the distance traveled by the car in the 8.5 s?
Answer:
325.125m
Explanation:
We can use the kinematics equations to solve this problem.
Given:
u = Initial Velocity = 0 m/s
v = Final Velocity = 76.5 m/s
t = 8.5 s
We can use the first kinematics equation to find the acceleration:
v = u + at
76.5 = 0 + 8.5a
a = 76.5 ÷ 8.5
[tex] = 9\frac{m}{ {s}^{2} } [/tex]
Since we now have the acceleration, we can use the third kinematics equation to find the distance travelled:
[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = (0)(8.5) + \frac{1}{2} (9) {(8.5)}^{2} \\ = 325.125m[/tex]
Technician A says kinetic energy is the energy of mechanical work or motion. Technician.Technician B says when an automobile starts,accelerates,decelerates,and stops,kinetic energy is at work.Who is correct?
Both A and B are correct about kinetic energy.
Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion.
The type of motion can be vibration, rotation on an axis, translation (or travel along a path from one place to another), or any combination of these. A body's translational kinetic energy is equal to half of the product of its mass, m, and its squared speed, v or 1/2 mv^2
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A dog weighing 18 kg runs into a park at a velocity of .63 m/s. What is the momentum of the dog? (1 point)
O.035 kg*m/s
O 17.37 kg*m/s
O 28.5 kg*m/s
O 11.34 kg* m/s
The dog has a momentum of 11.34 kg*m/s.
The correct answer is D.
What exactly is momentum?Product of a particle's mass and velocity. A vector quantity, momentum has both a magnitude and a direction. The force exerted on a particle is equated to the time rate of change of momentum by Isaac Newton's second equation of motion.
How does momentum work?The sum of the units of mass and velocity yields the unit of momentum. The momentum is expressed in kilogram meters per second (kgm/s) in SI units if the mass and velocity are both expressed in kilograms and meters per second, respectively.
Briefing:P = momentum
m = mass
v = velocity
m = 18 kg
v = .63 m/s
P = m × v
P= 18 × .63
p = 11.34 kg*m/s.
The dog has a momentum of 11.34 kg*m/s.
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The complete question is -
A dog weighing 18 kg runs into a park at a velocity of .63 m/s. What is the momentum of the dog? (1 point)
A-035 kg*m/s
B-17.37 kg*m/s
C- 28.5 kg*m/s
D- 11.34 kg* m/s
Answer:
The dog has a momentum of 11.34 kg*m/s.
3. The distance from New York to Los Angelos is 2789.5 miles. Express this measurement
to ft.
What’s the answer
Answer:
14,728,560 feet
Explanation:
1 foot is 5280 feet multiply by 2789.5 and get this
Give the mass of the Sun is indefinitely more massive than our moon, why is the gravitational pull of the moon on the Earth (tides) greater than the sun?
In what time would a Current
Current of
IA transfer
Change of 30c
a Change
A current of 1 Ampere would transfer a charge to 30 coulombs in 30 seconds.
Current is one of the fundamental quantities of physics that are used to derive the other quantities. It is the number of charges in coulombs flown through an area of cross-section per unit time. Its S.I. unit is Ampere. It is denoted by the capital letter 'I'.
Given in the question
Current = I = 1 A
Charge Transferred = 30 Coulombs
Using the Formula: Current = Charge/ Time
Time = Charge/Current
Put in the value
Time = 30/ 1
Time = 30 seconds
Therefore. a current of 1 ampere would take a time of 30 seconds to transfer a charge equal to 30 coulombs.
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A space shuttle orbits earth at a speed of 21,000 km/he. how far will it travel in 1.4hours? Assume the shuttle is traveling on a straight path (it is actually orbiting the Earth but for this time period the path is relatively straight).
The space shuttle will travel as far as 29400 km in 1.4 hours
What is Speed ?Speed is the distance travelled per time taken. It is a scalar quantity.
Given that a space shuttle orbits earth at a speed of 21,000 km/hr. Since it is assumed that the shuttle is traveling on a straight path, to know how far it will travel in 1.4 hours, we will apply the speed formula.
Speed = distance / time
21000 = distance / 1.4
distance = 21000 x 1.4
distance = 29400 Km
Therefore, the space shuttle will travel as far as 29400 km in 1.4 hours
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Use the graph to answer the questions. I have answers but I don't know if they're correct.
The top speed reached during the entire trip would be 45 meters/seconds because the highest ordinate of the y-axis from the graph is 45 and the entire trip would last for 6 seconds.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.
As given in the problem we have to find the top speed reached during the entire trip and the total duration of the trip,
The top speed = highest ordinate for the speed time curve
The top speed reached during the entire trip would be 45 meters/seconds because the highest ordinate of the y-axis from the graph is 45 and the entire trip would last for 6 seconds.
Thus, the top speed reached during the entire trip would be 45 meters/second.
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According to the Doppler effect, what will happen to the pitch when a car with a blowing horn is approaching?
O It will increase.
O It will decrease.
-O It will stay the same.
Answer:
Compared to the emitted frequency, the received frequency is higher during the approach, identical at the instant of passing by, and lower during the recession.
Explanation:
an object accelerated from 20m/s to 30m/s in 2 seconds. calculate the acceleration
Explanation:
an object accelerated from 20m/s to 30m/s in 2 seconds. calculate the acceleration, can be calculated in calculator
Which statement correctly describes the reactivity of noble gases according to the octet rule
Their atoms have eight electrons in their valence shells, so noble gases are very unreactive.
Explanation:
The octet rule state that atoms tend to complete their last energy levels with eight electrons, and that this configuration make them very stable and unreactive.
Noble gases are characterized as unreactive atoms, and this is associated with the fact that they have a complete valence shell, it means that they have eight electrons on it (they follow the octet rule).
Atoms with less electrons on their valence shells tend to react with another atom, forming bonds, to complete their valence shells (with eight electrons).
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Three bitmap charges are placed on the y-axis as in
the figure if the Outcome of the electric forces is
(q1) equal to 4.2 N in the negative y-axis direction
selects the charge type q3 and calculate its amount.
The magnitude of the third charge is determined as -1.37 μc.
Magnitude of charge q3The magnitude of the charge on q3 is calculated as follows;
F = q12 + q23 + q13
F = kq₁q₂/r₂ + kq₂q₃/r² + kq₁q₃/r²
4.2 = (9 x 10⁹ x 2 x 10⁻⁶ x 3 x 10⁻⁶)/(0.1²) + (9 x 10⁹ x 3 x 10⁻⁶q₃)/(0.2²) + (9 x 10⁹ x 2 x 10⁻⁶ x q₃)/0.3²)
4.2 = 5.4 + 675,000q₃ + 200,000q₃
-1.2 = 875,000q₃
q₃ = -1.2/875000
q₃ = -1.37 x 10⁻⁶ C
q₃ = -1.37 μC
Thus, the magnitude of the third charge is determined as -1.37 μc.
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If an astronaut brings a bathroom scale to the Moon, her weight on the Moon is ___ her weight on Earth.
A- the same as
B- 6 times
C- 1/2
D-1/6
Particle 1 is moving on the x-axis with
an acceleration of 3.37 m/s² in the positive
x-direction. Particle 2 is moving on the y-
axis with an acceleration of 5.18 m/s² in the
negative y-direction. Both particles were at
rest at the origin at t = 0 s.
Find the speed of particle 1 with respect to
particle 2 at 2.83 s.
Answer in units of m/s.
The speed of particle 1 with respect to particle 2 at 2.83 s is determined as 17.5 m/s.
What is relative velocity?
The relative velocity of an object 1 relative to another object 2 is the velocity that object 1 would appear to have to an observer moving with 2.
Velocity of particle 1 after 2 .83 seconds,V(1) = 3.37 m/s² x 2.83 s
V(1) = 9.54 m/s
Velocity of particle 2 after 2 .83 seconds,V(2) = 5.18 m/s² x 2.83 s
V(2) = 14.66 m/s
Relative velocity of particle 1 with respect to particle 2V(12) = √(9.54² + 14.66²)
V(12) = 17.5 m/s
Thus, the speed of particle 1 with respect to particle 2 at 2.83 s is determined as 17.5 m/s.
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Princess Leia once fell out of the spaceship. She came back with the Force. From the farthest spot ( zero speed) back to the spaceship was 10 meters, and it took 7.1 seconds. She weighed 45kg. Assume constant force during this trip. The force needed was __ N.
The force needed by Princess Leia is 17.87 N.
Acceleration of Princess Leia
The acceleration of Princess Leia is calculated as follows;
s = u + ¹/₂at²
where;
u is the initial velocity = 0s = ¹/₂at²
2s = at²
a = 2s/t²
a = (2 x 10) / (7.1²)
a = 0.397 m/s²
Force needed by Princess LeiaThe force needed by Princess Leia is calculated as follows;
F = ma
F = 45 x 0.397 m/s²
F = 17.87 N
Thus, the force needed by Princess Leia is 17.87 N.
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Time (min)
3. A car accelerates at 2 m/s². Assuming the car starts from rest, how much time
does it need to accelerate to a speed of 16 m/s?[ t = (vi-vi//a ]
The initial velocity of the car is u = 0 m/s because the car starts from rest.
The acceleration of the car is a = [tex]2m/s^{2}[/tex].
The instantaneous velocity is v = 16 m/s.
By applying the formula that connects the details that we have with the duration
a = v − u t
t
we get the duration as follows
Make t the subject of the formula
t = v − u
a
= 16m/s− 0 m/s
[tex]2M^{2}[/tex]
= 8s.
The duration for that speed change is 8s.
Calculating acceleration involves dividing velocity by using time or in phrases of SI units, dividing the meter according to the second m/s by the second one. Dividing distance by time twice is the same as dividing distance via the rectangular of time. hence the SI unit of acceleration is the meter according to 2nd squared. If the acceleration is consistent, it's far viable to discover acceleration without time if we have the preliminary and final pace of the item as well as the amount of displacement. The system v2=u2+2as where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement is used.
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according to your understanding differentiate between harmful and useful microorganisms
Answer:
Beneficial microorganisms cause fermentation while harmful or pathogenic microorganisms cause putrefaction. Fermentation is a process by which useful substances such as alcohol, amino acids, organic acids and antioxidants are produced. These substances are useful to man, plants, and animals.
Explanation:
What has been the affect of agricultural price supports
Overproduction is caused by price supports. Governments assist farmers to increase production by subsidising prices above the point at which the market clears. Farmers use more inputs per acre in order to produce more. Additionally, they compete with one another for the limited supply of farmland, driving increasing the cost of it.
What is agricultural price supports ?Agricultural assistance is defined as the annual dollar amount of gross consumer and taxation transfers to agriculture resulting from governmental policies that support agriculture, independent of the goals or effects on the economy.
The link between price and supply is generally positive since farmers will typically desire to increase the quantities they bring to market. It demonstrates that goods manufacturers are willing to create more as the price rises.Learn more about Agricultural price supports here:
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5) Using the image below, will the elements to the left gain or lose
electrons when bonded to the elements to the right?
What principle is represented by this chart?
Electron Dot Diagrams for Some Representative Elements
Answer:
1.) Lose electrons
2.) Ionic Bonding
Explanation:
Elements on the left side of the periodic table lose electrons during ionic bonding. These elements lose electrons because it is easier for them to give up a few electrons rather than to try and gain many more to achieve a full valence octet. On the other hand, the elements on the right side have close to 8 valence electrons. Therefore, they are more likely to take electrons to make up this small gap rather than give many more away.
The speed of light in a vacuum is 300,000.0 km/s. How long does it take light to travel 150,000,000 km from the Sun to Earth?
It takes light to travel 150,000,000 km from the Sun to Earth in 500 seconds.
Light travels quicker in a vacuum than in another medium. this is because there's no obstruction in the vacuum for the propagation of mild and accordingly, the refractive index of the vacuum is the lowest. the rate of mild in a vacuum is 3×108 ms. daylight takes approximately 8 minutes to reach the Earth. thru the vacuum of space, irrespective of what their strength is, they always travel at the rate of light.
It would not remember how fast you chase after or run closer to light, both that velocity you view it journeying at will continually be equal. The thing that shifts, in place of its velocity, can be the mild's electricity. Albert Einstein's special principle of relativity famously dictates that no regarded object can journey faster than the speed of mild in a vacuum, which is 299,792 km. This speed restriction makes it not going that human beings will ever be able to ship spacecraft to discover beyond our nearby vicinity of the Milky Way.
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Help with #2. Check my answer
The total distance traveled for the entire trip is 30 meters and the total time consumed in the trip would be 4 seconds so the correct answer for the second problem is 4 seconds.
What is displacement?Displacement describes this shift in location.
Displacement is a vector quantity.
As given in the problem we have to find out from the graph the total time consumed in the trip,
As we can observe from the graph the position of the object is changing up to 4 seconds so we can conclude that the entire trip would have taken a total of 4 seconds.
Thus, the total time of the trip would be 4 seconds.
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Characters used: 88/ 15000
Part E
From your observations about the horizontal and vertical component of position, velocity and acceleration, do you think taking
"Legs" of the snowboarder as reference point for plotting the motion is a good option for describing the snowboarder's
projectile motion?
BIUX² X₂ 15px
Characters used: 0/ 15000
A
!!!
≡ ≡ ≡ ≡
A projectile's horizontal velocity is constant (a never changing in value), Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion is unrelated to its horizontal motion.
For relatively small displacements, the force of gravity has little effect on an object's horizontal motion. This indicates that while the vertical velocity is accelerating, the horizontal velocity is remaining constant. The cause is that perpendicular vectors behave differently from one another. A projectile's vertical velocity is zero at its maximum height. There is now only the horizontal velocity.
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As an object is thrown up , if up is considered negative, what is the direction of the velocity and acceleration of the object as the travels up?
Answer:
It depends on what you mean by positive and negative acceleration. However I think what most people mean by these is that positive means speeding up and negative slowing down. In this case the object’s acceleration is negative on the way up, after leaving your hand at least, and positive on the way down.
Explanation:
Dennis throws a volleyball up in the air. It reaches its maximum height
1.1s later. We can ignore
air resistance.
What was the volleyball's velocity at the moment it was tossed into the air?
The volleyball's velocity at the moment it was tossed into the air is 10.78 m/s in the upward direction.
Let us assume that the initial velocity of the volleyball at the moment it was tossed into the air is u m/s. And the maximum height attained by it is equal to h meters.
Given in the question
Time of reach Max height = 1.1 seconds
Initial velocity = u m/s
Final Velocity = 0 m/s
( As the volleyball reaches the maximum height, it momentarily stops and its velocity at that instant is zero. )
Acceleration due to gravity = a = -g = -9.8 m/s²
( As the direction of velocity and acceleration due to gravity is opposite in direction, the Upward direction is taken as positive and the downward direction is taken as negative. )
Using First equation of motion: v = u + at
Put in the value
0 = u + (-9.8)(1.1)
0 = u - 10.78
u = 10.78 m/s
Therefore, the volleyball's velocity at the moment it was tossed into the air is 10.78 m/s in the upward direction.
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How fast should you move away from a 6.0 × 1014 Hz light source to
observe
waves with a frequency of 4.0 × 1014 Hz?
We can move away from a 6.0 × 1014 Hz light source to observe waves with a frequency of 4.0 × 1014 Hz with a speed of 0.38c.
What is Frequency?Physics refers to the frequency as the quantity of waves passing a fixed point in a unit of time. Additionally, it is the quantity of vibrations or cycles that a body in periodic motion experiences in a certain period of time. One cycle or vibration is defined as the movement of a body in periodic motion across a sequence of occasions or locations before returning to its initial state.
According to the question,
6.0× 1014 Hz can be written as 6 A° similarly,
4.0×1014 Hz can be written as 4 A°
By using Doppler's effect, the wavelength of light will be :
[tex]\lambda\\[/tex]=[tex]\lambda[/tex]₀[tex]\sqrt{1+(v/c)/1-(v/c)}[/tex]
6.0 A°= (4.0 A°) [tex]\sqrt{1+(v/c)/1-(v/c)}[/tex]
v=0.38c
Hence, it will move with 0.38c.
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For a truck moving at constant speed...
1. the distances traveled during each time period are the same. 2. the direction traveled during each time period must be the same.
3. the truck must accelerate.
4. all of these.
For a truck moving at constant speed, the distances traveled during each time period are the same.
What is constant speed?
If an object covers an equal amount of distance in equal interval of time, then the body is said to be moving at a constant speed.
Constant speed means the speed does not change at all for each second of the motion.
Speed has no direction, hence we cannot say that he direction traveled during each time period must be the same.
Thus, for a truck moving at constant speed, the distances traveled during each time period are the same.
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