Answer:
The force magnitude is 1.75 μN acting outward from the origin towards x₂
Explanation:
The given parameters, are;
The location of q₁ = The origin
The location of q₂ = 14.7 mm from q₁
The repulsive force exerted on q₂ by q₁ = 2.62 μN
The location the particle q₂ is located to = 18.0 mm from q₁
By Coulomb's law, we have;
[tex]F = k\dfrac{q_1 \times q_2 }{r^2}[/tex]
Where;
k = Coulomb constant ≈ 8.99 × 10⁹ kg·m³/(s²·C²)
r = The distance between the particles
F = The force acting between the particles
When r = 14.7 mm F = 2.62 μN
∴ q₂ × q₁ = r² × F/k = (14.7×10^(-3))²×2.62×10^(-6)/(8.9875517923^9) ≈ 1.48 × 10⁻¹⁸
q₂ × q₁ = 1.48 × 10⁻¹⁸ C²
When the distance is increased to 18.0 mm, we have;
F = (8.9875517923^9) × 1.4796647 × 10^(-18)/((18×10^(-3))²) = 1.75 × 10⁻⁶ N
∴ F = 1.75 μN.
Therefore;
The force magnitude is 1.75 μN outward from the origin towards x₂.
To magnitude of the force that [tex]q_2[/tex] exerts on [tex]q_1[/tex] at this new location is 1.75 µN.
Given the following data:
Initial distance of [tex]q_2[/tex] = 14.7 mm to m = 0.0147 meter.Repulsive force = 2.62 µNFinal distance of [tex]q_2[/tex] = 18.0 mm to m = 0.018 meter.Scientific data:
Coulomb's constant = [tex]8.99 \times 10^9\; Nm^2/C^2[/tex]To calculate the force (magnitude and direction) that [tex]q_2[/tex] exerts on [tex]q_1[/tex] at this new location, we would apply Coulomb's law:
The force in an electric field.Mathematically, the force in an electric field is given by this formula:
[tex]F=\frac{kq_1q_2}{r^2}[/tex]
Where:
k is Coulomb's constant.q is the charge.r is the distance.[tex]q_1q_2 =\frac{F}{k} \times r^2\\\\q_1q_2 =\frac{2.62 \times 10^{-6}}{8.99 \times 10^9} \times 0.0147^2\\\\q_1q_2 = 2.914 \times 10^{-16} \times 0.00021609\\\\q_1q_2 = 6.30 \times 10^{-20}\;C^2[/tex]
For the force, when r = 0.018:
[tex]F =\frac{8.99 \times 10^9 \times 6.30 \times 10^{-20}}{0.018^2} \\\\F =\frac{5.66 \times 10^{-10}}{0.000324} \\\\F = 1.75 \times 10^{-6}[/tex]
Note: 1 µN = [tex]1 \times 10^{-6}\;N[/tex]
Force, F = 1.75 µN.
In conclusion, the direction of the force at the new location is outward from the origin along [tex]X_2[/tex].
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A student conducts an experiement in their class. They determine that when you increase a mass by four times it's original amount, the acceleration is experiences also drops to 1/4th of it's original value. What value was the student holding constant during this experiment? a Force b Mass c Acceleration d Weight
Answer:
Correct answer is A Force
Explanation:
The experiment that the students are carrying out is to verify Noten's second law, which has the equation
F = m a
where F is the force, the acceleration and m the mass of the body.
In this case, they indicate that slats were increased 4 times and the acceleration decreased 4 times, therefore when replacing
F = (4m) (a/4)
from here we can see that the force remains constant.
Correct answer is A
Which statement describes all chemical changes, but not all physical changes?
1.bubbles are produced
2.A new substance forms.
3.phase changes occur
4.a color change occurs
2. A new substance forms
Chemical changes change composition, physical never do.
Hope This Helps, Good Luck!
Answer:
2: A new substances forms
Explanation:
A sprinter starts their race from the 0 position and reaches their constant velocity of 8.7 m/s when they are at 32 meters in the from the starting line. How far from the starting line will the sprinter be if they continue at the speed for 5 more seconds?
Given : Initial speed , u = 0 m/s .
Final speed , v = 8.7 m/s .
Distance travelled , d = 32 m .
To Find : How far from the starting line will the sprinter be if they continue at the speed for 5 more seconds .
Solution :
It is given that after reaching speed of 8.7 m/s speed become constant .
So , distance covered in 5 second is :
[tex]d=v \times t\\d=8.7 \times 5 \ m\\d=43.5 \ m[/tex]
Now , total distance from start line is :
[tex]D=32+43.5=75.5 \ m[/tex]
Therefore , the distance from starting line is 75.5 m .
Hence , this is the required solution .
Can someone plz tell me how to solve this step by step
Answer:
Explanation:
T=2π√l/g
to solve this for l we have to remove the square root in order to finish square root we have to take square on both side so the equation become
T²=4π²l/g
multiplying g on both side
T²g=4π²l
now dividing 4π² on both side
T²g/4π²=l
so l=T²g/4π²
A hummingbird, flapping its wings to stay above a flower. Is an example of which newtons law?
Answer:
newtons 2nd law i think
Explanation:
• A flame always points upwards. Why do you think this is so?
(HINT: Gases produced in a flame are hot, and hence lighter.)
Answer:
A flame always point upwards because the flame's gas is hotter than the surrounding air and, like you said, a hot gas is always lighter or less dense than a cold gas.
Explanation:
A ball is dropped from a height of 100 meters. How long will it take to hit the ground? Show work
20.4081/s^2
Explanation:
ignoring air resistance and with the knowledge that the acceleration of gravity is 9.8 we can use that to find the answer.
The formula is (hX2)/(9.8m/s^2)
so
100mX2 = 200m
200m/9.8m/s^2 = 20.4081/s^2
help its due september 2.
Answer:
see below
Explanation:
1) the object is not equilibrium.
the forces are unbalanced.
4 N towards right to make it balance/equilibrium
2) the object is not equilibrium.
the forces are unbalanced.
5 N towards right to make it balance/equilibrium
3) the object is in equilibrium.
the forces are balanced.
4) the object is not equilibrium.
the forces are unbalanced.
9 N towards left to make it balance/equilibrium
5) the object is not equilibrium.
the forces are unbalanced.
4 N towards right to make it balance/equilibrium
6) the object is not equilibrium.
the forces are unbalanced.
1 N towards right to make it balance/equilibrium
7) the object is not equilibrium.
the forces are unbalanced.
6 N towards right to make it balance/equilibrium
8) the object is not equilibrium.
the forces are unbalanced.
1 N towards left to make it balance/equilibrium
9) the object is not equilibrium.
the forces are unbalanced.
3 N towards right to make it balance/equilibrium
10) the object is not equilibrium.
the forces are unbalanced.
1 N towards left to make it balance/equilibrium
Answer: and Explanation:
1) the object is not equilibrium.
the forces are unbalanced.
2) the object is not equilibrium.
the forces are unbalanced.
3) the object is in equilibrium.
the forces are balanced.
4) the object is not equilibrium.
the forces are unbalanced.
5) the object is not equilibrium.
the forces are unbalanced.
6) the object is not equilibrium.
the forces are unbalanced.
7) the object is not equilibrium.
the forces are unbalanced.
8) the object is not equilibrium.
the forces are unbalanced.
9) the object is not equilibrium.
the forces are unbalanced.
10) the object is not equilibrium.
the forces are unbalanced.
Radio waves of frequency 1.667 GHzGHz arrive at two telescopes that are connected by a computer to perform interferometry. One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.
Required:
a. Will the two waves combine constructively or destructively?
b. Calculate the value of m for the path difference between the two signals
Explanation:
The frequency of radio waves is 1.667 GHz
One portion of the same wave front travels 1.260 mm farther than the other before the two signals are combined.
There are two conditions for interference either constructive or destructive.
For constructive interference , the path difference is n times of wavelength and for destructive interference, the path difference is (n+1/2) times of wavelength
We can find wavelength in this case as follows :
[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{1.667\times 10^9}\\\\\lambda=0.1799\ m[/tex]
If we divide path difference by wavelength,
[tex]\dfrac{\delta}{\lambda} =\dfrac{1.26}{0.1799}\\\\\dfrac{\delta}{\lambda} =7\\\\\delta =7\lambda[/tex]
It means that the path difference is 7 times of the wavelength. it means the two waves combine constructively and the value of m for the path difference between the two signals is 7.
an object at a distance of 6400km from the centre
the earth weights 50 Newton
what will be its weight if
it is shifted to 12800 km from the center of the earth?
Answer:
12.5N
Explanation:
From newton law of universal gravitation F= GmM/d2.
that means Force is inversely proportional to the square of the distance apart.
F1= 50N, d1=6400km
F2=?, d2=12800km
F1/F2=d2×d2/d1×d1 so we have 50/F2= 12800×12800/6400×6400...F2=6400×6400×50/(12800×12800)=12.5N
A student measures her height with a meter stick and finds that she is about 1.5 m tall. How can she measure her height with greater accuracy and precision?
Answer:
She should use a measuring tape
Explanation:
A student measures her height with a meter stick and gets a result of 1.5 m tall. This may not be as accurate as possible due to the fact that a meter stick has a maximum length of 1m which means an error could have occurred when she had to mark a point and then measure the remaining 0.5m.
She can however measure her height with greater accuracy and precision with a meter tape which has a wider measurement range and there won’t be any need to measure twice.
The speedometer of a car moving to the east reads 100 km/h. It
passes another car moving to the west at 100 km/h. Do both cars
have the same speed? Do they have the same velocity?
The speedometer of the car moving towards shows 100 km/h which passes another car moving in the west with a speed of 100 km/h, so both cars have the same speed and velocity, but the resultant speed is 200 km/h.
What is Velocity?In terms of physics, velocity is a vector measurement of the motion's direction and speed. The rate of change in an object's position relative to a frame of reference and time is a more precise definition of velocity.
Simply put, the concept of velocity informs us of the rate at which an object is travelling in a specific direction. It indicates the rate of movement of an object.
There are several types of velocity :
Uniform velocityNon-uniform velocityInstantaneous velocityAverage velocityTherefore, both the cars are having same speed.
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You are driving at 40 miles per hour and you speed up to 60 miles per hour over the course of 20 miles. How long were
you driving for?
Target:
Solution: (Isolate, plugin, answer, units)
Knowns/Givens:
Equation:
Answer:
120 hours
Explanation:
Assume that before separation, the weight of the milk bottle's contents (mixed milk and cream) is wmix. How does the combined weight of the milk and cream after separation, wsep, compare to wmix
Answer:
Wsep = Wmix
Explanation:
When Cream and milk up in a bottle they might appear homogeneous but after the bottle must have settled down for a while i.e kept in a position without shaking the bottle. the contents ( cream and milk ) will be separated. this is because Milk and cream do not mix up just like some other liquids that don't mix-up. Wmix represents the weight of the bottle before separation while Wsep represents the weight after separation. but since both liquids are in the same bottle the weight after separation would remain the same
Wsep = Wmix
The bottle contents have separated. Now compute , the gauge pressure on the bottom of the milk bottle after the milk and cream have separated
When Cream and milk up in a bottle they might appear homogeneous but after the bottle must have settled bottle for a while i.e kept in a position without shaking the bottle. the contents ( cream and milk ) will be separated. this is because Milk and cream do not mix up just like some other liquids that don't mix-up. Wmix represents the weight of the bottle before separation while Wsep represents the weight after separation. but since both liquids are in the same bottle the weight after separation would remain the same.
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A boy kicks a ball with a mass of 5 kg so that it accelerates at 4 m/s2 in the forward direction.
A 40 N
B 0 N
C 20 N backward
D 20 N forward
This diver has just jumped up from the end of the diving board. After she dives down and is falling toward the water, she’ll have kinetic energy, or the energy of moving matter. But even as she is momentarily stopped high above the water, she has energy. Do you know why?
Answer:
Mechanical energy is divided into two:Kinetic energy and Potential energy....The diver diving down exhibits kinetic energy because she is moving but when she has stopped it means she has potential energy which means that a body is at rest....
A student recorded the favorite dipping sauces of the 70 people in his class. He wants to plot these data in a circle graph:
What angle should the wedge for barbecue have?
A.103
B.28.5
C.75
D.206
Explanation:
There are 70 people in a class. A student wants to plot these data in a circle.
We need to find the angle should the wedge for barbecue have.
There are 20 such students that like barbecue.
So,
[tex]B=\dfrac{20}{70}\times 360^{\circ}\\\\B=102.85^{\circ}[/tex]
or
B = 103°
It means that 103° on the circle shows the number of students that like barbecue .
A metal in group 17 of the periodic table can become a chemically stable ion by A. losing one electron. B. gaining one electron. C. gaining two electrons. D. losing two electrons.
Answer:
A. losing one electron
Hope this helps :)
Answer:
The correct answer is "Gaining one electron".Explanation:
I just solved this question.a vessel containing water is kept on an oven. the temperature of water increases as heat is supplied to it from the oven. But the temperature stops rising when the water begins to boil. What is the reason for this? where does the heat go then?
Answer:
See the answer below
Explanation:
The temperature stops rising when water begins to boil because the heat which causes the rise in temperature is now diverted into changing the phase of the boiling water.
The conversion of substances from one state of matter to another requires energy. Hence, instead of causing a rise in the temperature of the boiling water, the heat is used to convert the liquid water into vapor. The heat thus becomes what is known as the latent heat of vaporization.
Select the name of the stave that musicians use to indicate high pitched notes
Answer:
This clef is used to represent sounds from the middle octave up (middle and high) and is often the best known. The treble clef is located on the second line of the staff, that is, it is written "in second". Thus, the second line will be called the sun and the other notes will be established from this point.
Explanation:
When you step into a very full bath or hot tub, sometimes the water overflows. But when you step into a lake and swim, you don't notice the level of the water rise at all. Explain why this is.
Answer:
This all simply due to the size of the two water bodies question and the your body size in a bath tub the water is small enough to allow the upthrust displace water out if the tub whereas in a lake the water is bigger and your body size is smaller to allow any noticeable upthrust that would cause an overflow
HELP ME PLEASE If an object is placed under a force of 20 N, it accelerates at a rate of 5 m/s^2. If the force is increased to 55 N, what is the new acceleration? a 13.75 kg b 7.25 kg c 21.10 kg d 5.65 kg
Answer:
b
Explanation:
Answer:13.75
Explanation:
does friction always oppose relative motion?
Answer:
Yes
Explanation:
Friction is a force that opposes relative motion between systems in contact. One of the simpler characteristics of friction is that it is parallel to the contact surface between systems and always in a direction that opposes motion or attempted motion of the systems relative to each other.
nc-1 has the same dimension as
Answer:
Explanation:
The answer is electric field intensity. Electric field intensity is the force per unit positive charge which the charge exerts at any point.
SciTech needs to hire an engineer to develop a prototype for a project. The company asks each engineer to provide a cost and time estimate for the work. Each bid is shown in the table.
Which engineer would be the most cost-effective for the project?
Camilla
John
Nora
Oracio
Answer:
Oracio
Explanation:
Mutiply the cost per hour by the time to complete the job
Camila 40x20=800
John 30x30= 900
Nora 20x40=800
Oracio 15x50=750
The Oracio engineer would be the most cost-effective for the project.
The calculation is as follows:Here we Mutiply the cost per hour by the time to complete the job
So,
Camila 40(20)=800
John 30(30)= 900
Nora 20(40)=800
Oracio 15(50)=750
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perfect bouncy ball would continue bouncing the same hight forever. but in reality the ball stops bouncing because energy is lost to
A. deformation of the ball
B. sound energy
C. heat energy
D all answers are true
A deformation of the ball
I believe sorry if I'm wrong
Engineers often build a prototype perfectly. It is rare that they have to improve their product.
True or false
Answer:
false
Explanation:
most prototypes are and perfect and they are build to find our mistakes
If x2 = 60, what is the value of x? plus or minus square root 30 plus or minus square root 60 ±30 ±120
A car is traveling south at a speed of 54 miles per hour and then begins traveling at a speed of 55 miles per hour but continues traveling in the same direction. Which of the following has changed?
A. mass
B. volume
C. velocity
D. density
Explanation:
VELOCITY: BECAUSE ITS A VECTOR QUANTITY
Which statement describes the motion of an object with a net force is zero
Answer:
The object is at rest.
Explanation:
It's basically what the other person said, but written a different way.
The item is at a standstill.
If there is no net force acting on an item, its velocity will stay unchanged. Either the thing is at rest with no velocity or it is moving in a single direction at a constant pace.
The First Law says that an item having a net force of zero operating on it will either remain stationary or maintain the current velocity if it is initially at rest. If a spring is extended, it must feel equal but opposite forces at both ends if it is to stay still.
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