Answer:
1) q₃ is approximately -7.58 nC
2) The direction of the net force on 'q₃' is the negative '-' direction
3) For the net force on 'q₃' to be zero, 'q₃' can be placed at x = -0.079 m or x = -1.881 m
Explanation:
1) The force, 'F', between two charged spheres is given as follows;
[tex]F = \dfrac{k \cdot q_1 \cdot q_2}{r^2}[/tex]
The net force acting on the point charge, 'q₃', is given as follows;
[tex]F_{NET} = \dfrac{k \cdot q_1 \cdot q_3}{x_1^2} + \dfrac{k \cdot q_2 \cdot q_3}{x_2^2}[/tex]
By substituting the given values, we have;
[tex]F_{NET} = 3.10 \ \mu N = \dfrac{k \cdot (-4.10 \ nC) \cdot q_3}{(0.250 \ m) ^2} + \dfrac{k \cdot 2.20 \ nC \cdot q_3}{(-0.320 \ m)^2}[/tex]
[tex]3.01 \ \mu N= q_3 \cdot \left ( \dfrac{k \cdot (-4.10 \ nC) }{(0.250 \ m) ^2} + \dfrac{k \cdot 2.20 \ nC }{(-0.320 \ m)^2} \right) = -\dfrac{14117 \ nC \cdot K}{320}[/tex]
[tex]\therefore q_3 = 3.01 \ \mu N \times -\dfrac{320 \ m^2}{14117 \ nC \cdot K}[/tex]
K = 9 × 10⁹ N·m²·C⁻²
[tex]\therefore q_3 = 3.01 \ \times 10^{-6} \ N \times -\dfrac{320 \ m^2}{14117 \times 10^{-9} \ C \times 9 \times 10^9 \ N \cdot m^2 \cdot C^{-2}}= -7.58 \ nC[/tex]
q₃ ≈ -7.58 nC
2) Given that the negative charge, 'q₁' (-4.10 nC), is located at x = 0.250 m, which is on the positive, '+' side of the origin, it will repel the negatively charged 'q₃', to the '-' direction. q₃ will also be attracted to the '-' direction by the positively charged 'q₂' which is at -0.320 m on the negative side of the origin
The net force's direction on q₃ will be in the '-' direction
3) For zero net force, we have;
The distance between the given point charges, r = 0.250 - (-0.320)) = 0.57 m
Let 'r1' represent the distance between 'q1' and 'q3', therefore, the distance between 'q2' and 'q3' is 0.57 - r1
By substitution, we have;
[tex]0 \ N= q_3 \cdot \left ( \dfrac{k \cdot (-4.10 \ nC) }{(0.57 - r_1 ) ^2} + \dfrac{k \cdot 2.20 \ nC }{(r_1)^2} \right)[/tex]
[tex]\therefore \dfrac{k \cdot 4.10 \ nC }{(0.57 - r_1 ) ^2} = \dfrac{k \cdot 2.20 \ nC }{(r_1)^2}[/tex]
From which we have;
[tex]\dfrac{4.10 \ nC }{(0.57 - r_1 ) ^2} = \dfrac{2.20 \ nC }{(r_1)^2}[/tex]
(r₁)²×4.10 = 2.20 × (0.57 - r₁)²
From the above equation, we have;
95,000·r₁²+ 125,400·r₁-35739 = 0
Solving, using a graphing calculator we get;
r₁ ≈ 0.241 or r₁ ≈ -1.561
Where, 'r₁', is measured from 'q₂', therefore, we have;
r₁ = 0.241 + (-0.320) ≈ -0.079 or r₁ = -1.561 + (-0.320) ≈ -1.881
Therefore, the charge 'q₃' can be placed at x = -0.079 or x = -1.881 for the ne force on it to be zero
The planet Jupiter has much more mass than Earth. What would happen to an astronaut who landed on Jupiter
A. The astronaut would weigh somewhat less on Jupiter than on Earth
B. The astronaut would have the same weight on Jupiter as on Earth
C. The astronaut would be weightless on Jupiter
D. The astronaut would weigh mire on Jupiter than on Earth
Answer:
A. The astronaut would way somewhat less
The planet Jupiter has much more mass than Earth, is an astronaut who landed on Jupiter would weigh more on Jupiter than on Earth. Thus, the correct option is D.
What is Jupiter?
Jupiter is a planet of the Solar system of the Milkyway galaxy. It is made up of mostly hydrogen and helium gas. The temperature on this planet is extremely hot and an astronaut landing on this planet will experience free-floating in mid-Jupiter with no way of escaping.
Jupiter has more mass than that of the Earth thus, it exerts greater gravitational force than the Earth, and the weight is equal to the product of the mass and the gravitational acceleration. So, the mass of an astronaut will remain constant when he or she move from earth to jupiter however the weight of the astronaut will increase on jupiter.
Therefore, the correct option is D.
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A car traveling at 7.0m/s^2 accelerates uniformly at 2.5 m/s. Reach a speed of 12.0m/s.how long does it take for this acceleration to occur?
Answer:
2 sec
Explanation:
time taken = [tex]\frac{v-u}{a} = \frac{12-7}{2.5} = 2[/tex]
The acceleration due to gravity on the moon is about 1.6 m/s. If you weigh 539N on earth, how much would you way on the moon.
Answer:
Weight = 88N
Explanation:
Given the following data;
Acceleration due to gravity on moon = 1.6m/s²
Weight on earth = 539N
To find the weight on moon.
First of all, we would calculate the mass;
Weight = mass * acceleration due to gravity.
We know that acceleration due to gravity on earth is equal to 9.8m/s²
Substituting into the equation, we have;
539 = mass * 9.8
Mass = 539/9.8
Mass = 55 kg.
Now, we solve for the weight on moon.
Weight = 55 * 1.6
Weight = 88N
A solid wooden cube, 30cm on each side can be totally submerged in water if it is pushed downward with a force of 54N. What is the density of the wood?
Answer:
the density of the wooden cube is 204.1 kg/m³
Explanation:
Given;
applied force, F = 54 N
length of each side of the solid wooden cube, L = 30 cm = 0.3 m
mass of the wooden cube is calculated as;
F = mg
m = F/g
m = 54/9.8
m = 5.51 kg
The volume of the wooden cube is calculated as;
V = L³
V = (0.3)³
V = 0.027 m³
The density of the wooden cube is calculated as;
ρ = m/V
ρ = (5.51 kg) / (0.027 m³)
ρ = 204.1 kg/m³
Therefore, the density of the wooden cube is 204.1 kg/m³
A man can row a boat at 4kmhr in still water. He rows the boat 2km upstream and 2 km back to his starting place in 2 hours. How fast is the stream flowing
Answer:
2.83km/hr
Explanation:
Let stream flowing at the rat x km/hr
In still water
Speed of boat=4km/hr
Upstream speed=4-x
Downstream speed=4+x
Total time=2 hr
Time=Distance/speed
According to question
[tex]\frac{2}{4+x}+\frac{2}{4-x}=2[/tex]
[tex]\frac{8-2x+8+2x}{(4+x)(4-x)}=2[/tex]
[tex]\frac{16}{4^2-x^2}=2[/tex]
Using the formula
[tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]4^2-x^2=\frac{16}{2}[/tex]
[tex]16-x^2=8[/tex]
[tex]16-8=x^2[/tex]
[tex]8=x^2[/tex]
[tex]x=\sqrt{8}=2.83km/hr[/tex]
Hence, the stream is flowing at 2.83km/hr
9. A speedboat engine exerts 90000 W of power in moving the boat through the water. The velocity of the boat is 1P = 5 m/s. What force does the engine apply to do this?
P = F x V
Answer:
it g hope it helps you out
How much heat energy is given out when 500g of steam at 100 degrees celcius condenses to water at 100 degrees celcius
Explanation:
How much thermal energy is released when 500g of steam at 100° C condenses into water and cools to 50°C
Givens: m=0.5 kg
t = 50
c = 2.010
Qtotal = Q1 + Q2
Qtotal = QmcΔt + mLv
Qtotal = (0.5kg)(2.010)(50) + (0.5)(2.3*10^6)
Qtotal = 1.15 * 10^6
The book says that the answer is 1.3*10^6?
What did I do wrong here?
Stored digital data are easily changed. How could this be a disadvantage?
A. Changing data results in too much data to be stored in most
computers
B. Easily changed data are difficult to protect with a security system.
c. Once a change is made, the change is permanent.
D. True information in the digital data can be changed to false
information
SUBMIT
I need help on this
The disadvantage of easily changeable digital data is: true information in the digital data can be changed to false information. Hence, option (D) is correct.
What is digital data?Digital data, in information theory and information systems, is information represented as a string of discrete symbols, each of which can take on one of only a finite number of values from some alphabet, such as letters or digits.
An example is a text document, which consists of a string of alphanumeric characters. The most common form of digital data in modern information systems is binary data.
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Answer: The answer is D.
Explanation: I took the test
A crane drops a 0.25kg steel ball onto a steel plate. The ball's speeds just before impact and after are 5.0m/s and 4.7m/s, respectively. If the ball is in contact with the plate for 0.035s, what is the magnitude of the average force that the ball exerts on the plate during impact?
Answer:
2.14N
Explanation:
According to Newtons second law
F = ma
F = m(v-u)/t
m = 0.25kg
v= 5.0m/s
u = 4.7m/s
t = 0.035s
Substitute
F = 0.25(5-4.7)/0.035
F = 0.25(0.3)/0035
F = 0.075/0.035
F = 2.14N
Hence the required force is 2.14N
What do document examiners use chromatography for?
If the change in velocity increases, what happens to the acceleration during the same time period?
O Acceleration decreases.
O Acceleration increases
O Acceleration becomes negative.
O Acceleration becomes steady
If the change in velocity increases, the acceleration during the same time period increases as well. The correct option is B.
What is electric current?Electric current is the flow of electric charge through a conducting material, such as a wire. It is measured in units of amperes (A), which represents the rate of flow of electric charge.
The standard definition of electric current is that it is the amount of electric charge passing through a given area of a conductor in unit time.
Mathematically, electric current is expressed as:
I = Q / t
Where
I = the electric current,
Q =the amount of electric charge that flows through a conductor,
t = the time interval during which the charge flows.
The unit of electric charge is coulombs (C), which represents the charge carried by a current of one ampere flowing for one second. So, one ampere of electric current represents a flow of one coulomb of electric charge per second.
Electric current is typically measured using an ammeter, which is a device that is inserted in series with a circuit to measure the current flowing through it. The ammeter is designed to have very low resistance, so it does not significantly affect the current flowing through the circuit being measured.
Here in the question,
If the change in velocity increases, the acceleration during the same time period increases as well. This is because acceleration is directly proportional to the change in velocity over time, as expressed by the formula:
a = (v_f - v_i) / t
Where
a = acceleration,
v_f = the final velocity,
v_i = the initial velocity,
t = the time interval during which the velocity changes.
If the change in velocity is greater, the numerator of the equation is larger, and therefore, acceleration is greater. Similarly, if the time interval is kept constant, an increase in velocity change leads to an increase in acceleration.
Therefore, when velocity increases the acceleration also increases.
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A force of 30 N is used to push a box along the floor a distance of 5 meters. How much workwas done
Answer:
the answer for how much work was done is 90
Work done to push a box is 150 J.
What is work?a force appearing upon an item to purpose a displacement.WORK = FORCE * DISPLACEMENTmechanical conservation of energy is the change in kinetic energy is equal to the work done.work energy theorem states that total energy change is equal to work done.
force= 30N
displacement= 5 meters.
work done= 30 * 5
⇒ 150 joule.
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on what mass will a force 16N produce an acceleration of 160N
Answer:
m = 0.1 [kg]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration. In this way, we have the following equation.
[tex]F =m*a[/tex]
where:
F = force = 16[N]
a = acceleration = 160 [m/s²]
m = mass [kg]
Now replacing:
[tex]m=F/a\\m = 16/160\\m = 0.1 [kg][/tex]
an atom with an atomic number of 12 and a mass number of 25 can best decided by which of these
Answer:
An atom that contains 12 protons
Explanation:
Atomic number is the same as how many protons and electrons an atom has. The mass is how many protons and neutrons there are together. In this case it would be 25 (mass) - 12 (protons) = 13 (neutrons).
27. Julie and Ashwin were doing an experiment in the classroom. They
each had to move a 15 kg box. Julie was able to move her box, but
Ashwin was only able to move his after removing half the items in the
box. Which is true regarding the force he applies after removing the
items from the box?
a
He has to apply more force to lift the box
because the mass is greater.
b
He has to apply less force to lift the box
because the mass has decreased.
С
He has to apply a different type of force after
changing the mass.
d
He has to apply the same amount of force to
the box to overcome gravity.
Answer:
b. He has to apply less force to lift the box because the mass has decreased.
Explanation: i just took a ck12 test and it was right lol
Amanda works as an industrial designer. Her Adjusted Gross Income (AGI) is $60,000. Due to an emergency, she had to spend $6,500 on medical expenses. Is she eligible for a tax deduction, and if so, how much?
Answer:
Yes,
Explanation:
Yes, Amanda is eligible for a tax deduction. Because of her medical expense. Her medical expense is $6,500 and it exceeds 7.5% of her adjusted gross income which is $60,000.
7.5% of $60,000 = 7.5/100 * 60000
7.5% of $60,000 = $4,500.
If 7.5% is $4,500, and her medical expenses is $6,500, then she's eligible for a tax deduction
Answer:
I think C.
Explanation:
I'm not sure
What is the change in internal energy if a gas loses 80 joules of heat, and then does 60
joules of work?
Answer:
-140
Explanation:
A gas loses 80joules of heat.
The gas also does 60 joules of work
Therefore the change in internal energy can be calculated as follows
= -80 + (-60)
= -80-60
= -140
Hence the change in internal energy is -140
m/s
3. A ferryboat accelerates from rest at a rate of 0.500 m/s2.
a. What is the velocity of the boat after it has traveled 4.75 m?
b. What is the velocity if the boat has traveled 50 m?
Answer:
a. Final velocity, V = 2.179 m/s.
b. Final velocity, V = 7.071 m/s.
Explanation:
Given the following data;
Acceleration = 0.500m/s²
a. To find the velocity of the boat after it has traveled 4.75 m
Since it started from rest, initial velocity is equal to 0m/s.
Now, we would use the third equation of motion to find the final velocity.
[tex] V^{2} = U^{2} + 2aS [/tex]
Where;
V represents the final velocity measured in meter per seconds. U represents the initial velocity measured in meter per seconds. a represents acceleration measured in meters per seconds square. S represents the displacement measured in meters.Substituting into the equation, we have;
[tex] V^{2} = 0^{2} + 2*0.500*4.75 [/tex]
[tex] V^{2} = 4.75 [/tex]
Taking the square root, we have;
[tex] V^{2} = \sqrt {4.75}[/tex]
Final velocity, V = 2.179 m/s.
b. To find the velocity if the boat has traveled 50 m.
[tex] V^{2} = 0^{2} + 2*0.500*50 [/tex]
[tex] V^{2} = 50 [/tex]
Taking the square root, we have;
[tex] V^{2} = \sqrt {50}[/tex]
Final velocity, V = 7.071 m/s.
A student is preparing to take a bath when she realizes the hot water tap in the bathroom is not working the student go to the kitchen and prepares 10 of 100°C water to mix with 10 L of 10°C water
Answer:
The final temperature of the bath water will be 55°C
Explanation:
A student is preparing to take a bath when she realizes that the hot water tap is not working.
The student goes to the kitchen and prepares 10 L of 100 degree Celsius water to mix with 10 L of 10 degree Celsius water. What will be the final temperature of the bath water?
Using the relation, Heat lost = Heat gained (assuming no heat is lost to the surroundings).
Heat lost by hot water = heat gained by cold water
Using the formula of heat, Q = mcΔT
where m = mass of water, c = specific heat capacity of water, ΔT = temperature difference
mass of water = density * volume (density of water = 1 kg/L)
mass of hot water, m₁ = 1 kg/L * 10 L = 10 kg;
mass of cold water, m₂ = 1 kg/L * 10 L = 10 kg;
specific heat capacity of water, c = 4200 j/kg
Let the final temperature of the mixture be T
-m₁cΔT₁ = m₂cΔT₂ ( since heat is lost by the hot water)
-m₁ΔT₁ = m₂ΔT₂
-10 * (T- 100) = 10 * (T - 10)
-10T + 1000 = 10T - 100
20T = 1100
T = 1100/20
T = 55°C
Therefore, the final temperature of the bath water will be 55°C
En pocas palabras la utilidad que le darias al hecho de conocer los principios y leyes que rigen el movimiento de los cuerpos
Answer:
we can predict where they are in the future, know where they were in the past
can also build a device that generates a specific type of desired movement,
Explanation:
With the knowledge of the laws that govern the movement of bodies, we can predict where they are in the future and therefore know if there may be an accident, crash.
We can also know where they were in the past and therefore know if a fact is the result of these movements, craters, collapse of buildings, etc.
We can also build a device that generates a specific type of desired movement, for example pulleys that help us with work, etc.
During a contest that involved throwing a 7.0-kg bowling ball straight up in the air, one contestant exerted a force of 810 N on the ball. If the force was exerted through a distance of 2.0 m, how high did the ball go from the point of release?
Answer:
23.6 m
Explanation:
We are given that
Mass of ball, m=7.0 kg
Force, F=810 N
Distance, s=2.0 m
We have to find the height of ball from the point where it releases.
Work done=K.E
[tex]Fs=\frac{1}{2}mv^2[/tex]
[tex]v^2=\frac{2Fs}{m}[/tex]
Substitute the value
[tex]v^2=\frac{2\times 810\times 2}{7}[/tex]
[tex]v^2=\frac{3240}{7}[/tex]
K.E=P.E
[tex]\frac{1}{2}mv^2=mgh[/tex]
[tex]\frac{1}{2}v^2=gh[/tex]
Where g=[tex]9.8m/s^2[/tex]
[tex]\frac{1}{2}\times \frac{3240}{7}=9.8h[/tex]
[tex]h=\frac{3240}{7\times 2\times 9.8}[/tex]
[tex]h=23.6 m[/tex]
Consider the common measurement speed = 55 mph. What is the magnitude quantity?
Speed, mph, miles per hour, 55
Answer:
Magnitude = 55
Quantity = Speed
Explanation:
We are told that the speed is 55 mph. This implies that the magnitude is 55 while the unit is mph.
Also, physical quantities are usually things that can be measured such as distance, voltage, temperature e.t.c
Answer:
i think its speed
Explanation:
6. Abdul moves a magnetic toy train away from a magnet that cannot move. What happens to the
potential energy in the system of magnets during the movement?
a
The potential energy decreases because the train moves in the same direction as the
magnetic force.
b
The potential energy decreases because the train moves against the magnetic force.
С
The potential energy increases because the train moves against the magnetic force.
d
The potential energy does not change because the magnets in the system do not change.
Yeah
Answer: Potential energy increases because the train moves against the magnetic force.
Explanation:
When the magnetic toy train is moved away from a magnet that cannot move, the potential energy in the system of magnets during the movement is affected as there's an increase in the potential energy because the train moves against the magnetic force.
We should note that the potential energy simply means the energy that is stored in the magnetic toy. Since the magnetic toy has been moved away from the magnet, the likelihood of its attraction will reduce thereby there'll be a rise in the potential energy.
James is planning a science fair project on sound waves. He places an alarm inside a jar which he can remove the
air from. Before he removes the air, he can hear the alarm ringing. After he removes the alr, he cannot hear the
alarm ringing. What condusion can you draw from this experiment?
A. Sound waves can travel in a vacuum
B. Sound waves are transverse waves and are loud
C. Sound waves cannot travel through a medium
D. Sound waves require a medium to travel through
Answer: c
Explanation:
Sound waves cannot travel through a medium
The odometer of a car reads 57321 km when the clock shows the time 8.30 am. What is the distance moved by the car, if at 8.50 am, the odometer reading has changed to 57336.0 km? Calculate the speed of the car in km/min during this time.
Answer:
0.75km/min
Explanation:
I haven't learnt physics at all but I'll try
57336 - 57321 = 15km (Difference)
8.50 am - 8.30 am = 20 minutes (Difference)
If the car odometer adds up 15km every 20 minutes...
20 mins = 15km
1 min = 15 ÷ 20 = 0.75km
plz help i have until 1.15 anybody plz ????????
Answer:
water boiled and turned into gas
Explanation:
Please hurry please
What is the height of the counter where a 4 kg fruit basket sits that has 30 J of gravitational potential energy? h= GPE/am
Answer:
0.765m
Explanation:
gravitational potential energy GPE = mass * acceleration due to gravity * height
Given
GPE = 30Joules
Mass m = 4kg
acceleration = 9.8m/s²
Required
Height h
From the formula
h = GPE/mg
h = 30/4(9.8)
h = 30/39.2
h = 0.765m\
Hence the height of the counter is 0.765m
Skater begins to spend with arms held out at shoulder height. The skater wants to match the speed of the spin to the beat of the music. How does the skater use knowledge of the conservation of momentum to do this?
Answer:
the moment of inertia with the arms extended is Io and when the arms are lowered the moment
I₀/I > 1 ⇒ w > w₀
Explanation:
The angular momentum is conserved if the external torques in the system are zero, this is achieved because the friction with the ice is very small,
L₀ = L_f
I₀ w₀ = I w
w =[tex]\frac{I_o}{I}[/tex] w₀
where we see that the angular velocity changes according to the relation of the angular moments, if we approximate the body as a cylinder with two point charges, weight of the arms
I₀ = I_cylinder + 2 m r²
where r is the distance from the center of mass of the arms to the axis of rotation, the moment of inertia of the cylinder does not change, therefore changing the distance of the arms changes the moment of inertia.
If we say that the moment of inertia with the arms extended is Io and when the arms are lowered the moment will be
I <I₀
I₀/I > 1 ⇒ w > w₀
therefore the angular velocity (rotations) must increase
in this way the skater can adjust his spin speed to the musician.
Two stoves were turned off at the same time, and they both started to cool down. The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes). T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below. Which stove started at a higher temperature?
Answer:
b & b
Explanation:
Two stoves were turned off at the same time, and they both started to cool down.
The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes).
T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m
The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below.
Which stove started at a higher temperature?
Choose 1 answer:
Choose 1 answer:
(Choice A, Incorrect)
INCORRECT
The first stove
(Choice B, Checked, Correct)
CORRECT (SELECTED)
The second stove
(Choice C, Incorrect)
INCORRECT
The stoves started at the same temperature
Which stove cooled down at a greater rate?
Choose 1 answer:
Choose 1 answer:
(Choice A, Incorrect)
INCORRECT
The first stove
(Choice B, Checked, Correct)
CORRECT (SELECTED)
The second stove
(Choice C, Incorrect)
INCORRECT
The stoves cooled down at the same rate
B would be correct and so would be on the 2nd part
Two 5.0 kilogram objects have different gravitational potential energies. What property of the objects must differ?
Answer:
Height.
Explanation:
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
[tex] P.E = mgh[/tex]
Where,
P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Hence, the property of the object (having a mass of 5 kilograms) which must differ to have different gravitational potential energies is the height from which they are falling from.
The object having the higher height would have a greater gravitational potential energy than the lower object.