Constants Two equally charged particles start 3.5 mm from each other at rest. When they are released they accelerate away from each other. The initial acceleration of particle A is 8 m/s² and of particle B is 10 m/s². Part A Calculate the charge on either particle, if the mass of particle A is 9×10-7 kg. Enter your answer with appropriate units. μA ? q= Value Unit
Answers
The charge on either particle is approximately \(\pm 1.095\times10^{(-7)} C\). The calculation is based on Coulomb's law and the given acceleration values for the particles.
To calculate the charge on either particle, we can use Coulomb's law and the equation for acceleration.
Let's consider particle A first. The net force acting on particle A is given by Newton's second law as F = ma, where m is the mass of particle A and a is the acceleration. Using the given values, we have:
\(F_A = m_A * a_A\)
\(F_A = (9\times 10^{(-7)} kg) * (8 m/s²)\)
\(F_A = 7.2\times 10^{(-6)} N\)
Now, according to Coulomb's law, the force between two charged particles is given by F = k * (q₁ * q₂) / r², where k is the electrostatic constant, q₁ and q₂ are the charges on the particles, and r is the distance between them.
Since the particles are equally charged, we can write q₁ = q₂ = q. Plugging in the known values, we have:
k * (q * q) / r² = F_A
\(k * (q^2) / r^2 = 7.2\times 10^{(-6)} N\)
The distance between the particles is given as 3.5 mm, which is \(3.5\times 10^{(-3)} m\). Plugging in the values for k, r, and F_A, we can solve for q:
\((9\times 10^9 N m^2/C^2) * (q^2) / (3.5\times 10^{(-3)} m)^2 = 7.2\times 10^{(-6)} N\)
\(q^2 = (7.2\times 10^{(-6)} N) * (3.5\times 10^{(-3)} m)^2 / (9\times 10^9 N m^2/C^2)\)
\(q^2 = 1.2\times 10^{(-14)} C^2\)
\(q = \pm\sqrt{(1.2\times10^{(-14)} C^2)}\)
Therefore, the charge on either particle is approximately \(\pm 1.095\times10^{(-7)} C\)
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Related Questions
a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?
Answers
The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.
Velocity is the rate of change of displacement over time.
It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.
So option A is correct.
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Please help me find the answers!
Answers
Answer:
1. T₁ is approximately 100.33 N
T₂ is approximately -51.674 N
2. 230°F is 383.15 K
3. Part A
The total torque on the bolt is -4.2 N·m
Part B
Negative anticlockwise
Explanation:
1. The given horizontal force = 86 N
The direction of the given 86 N force = To the left (negative) and along the x-axis
(The magnitude and direction of the 86 N force = -86·i)
The state of the system of forces = In equilibrium
The angle of elevation of the direction of the force T₁ = 31° above the x-axis
The direction of the force T₂ = Downwards, along the y-axis (Perpendicular to the x-axis)
Given that the system is in equilibrium, we have;
At equilibrium, the sum of the horizontal forces = 0
Therefore;
T₁ × cos(31°) - 86 = 0
T₁ = 86/(cos(31°)) ≈ 100.33
T₁ ≈ 100.33 N
Similarly, at equilibrium, the sum of the vertical forces = 0
∴ T₁×sin(31°) + T₂ = 0
Which gives;
100.33 × sin(31°) + T₂ = 0
T₂ = -100.33 × sin(31°) ≈ -51.674
T₂ ≈-51.674 N
2. 230° F to Kelvin
To convert degrees Fahrenheit (°F) to K, we use;
\(Degrees \ in \ Kelvin, K = (x^{\circ} F + 459.67) \times \dfrac{5}{9}\)
Pluggining in the given temperature value gives;
\(Degrees \ in \ Kelvin, K = (230^{\circ} F + 459.67) \times \dfrac{5}{9} = 383.15\)
230°F = 383.15 K
3. Part A
Torque = Force × perpendicular distance from the line of action of the force
Therefore, the clockwise torque = 9 N × 0.4 m = 3.6 N·m (clocwise)
The anticlockeisre torque = 13 N × 0.6 m = 7.8 N·m (anticlockwise)
The total torque o the bolt = 3.6 N·m - 7.8 N·m = -4.2 N·m (clockwise) = 4.2 N·m anticlockwise
Part B
The torque is negative anticlockwise.
A____test instrument is a device that is installed in a process or at a bench to continually measure and display quantities.
Answers
The device that is installed in a process or at a bench to continually measure and display quantities is a permanent test instrument.
What is a measuring instrument?A tool for measuring a physical quantity is a measuring instrument. Measurement, in the physical sciences, quality control, and engineering, is the process of gathering and contrasting the physical amounts of things that actually happen in the real world. As units, pre-defined standard things and occurrences are used, and the measuring procedure yields a number that connects the subject-matter under investigation to the used unit of measurement. These numerical relationships are attained through the employment of measuring devices and formal test methodologies that specify the device's use. The instrument error and measurement uncertainty that affect all measuring devices varies in severity. From basic tools like stopwatches and rulers to electron microscopes and particle accelerators, these instruments can be used for various purposes.
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What is the momentum of a 72 kg baseball player who slides into home plate
at 4.9 m/s?
A. 860 kg m/s2
B. 350 kg m/s
C. 68 kg m/s
D. 15 kg/m's
SUBMIT
Answers
Answer:
B) 350 kg m/s
Explanation:
momentum or p is given by the equation p= mxv
We have the mass and velocity so we can use the equation directly
p= 72kg x 4.9 m/s
p= 352.8 kg m/s
A scuba diver finds a gold stature on the bottom of the ocean. She ties an inflatable bag to the statue and starts filling the bag with air. When the bag is the shape of a sphere with a diameter of 47cm, the statue lifts off of the ocean floor and slowly starts rising to the surface. What is the mass of the statue?
Answers
The mass of the statue is approximately 55.8 kg.
To determine the mass of the gold statue, we can use the buoyant force equation: buoyant force = (density of water × volume of displaced water × gravitational acceleration).
First, we need to find the volume of the spherical air-filled bag:
Volume = (4/3) × π × r³
Where r = diameter/2 = 47 cm/2 = 23.5 cm
Volume = (4/3) × π × (23.5 cm)³ ≈ 54,378.1 cm³
Next, we use the buoyant force equation:
Buoyant force = (density of water × volume of displaced water × gravitational acceleration)
Assuming saltwater, the density of water is approximately 1025 kg/m³, and gravitational acceleration is approximately 9.81 m/s². Remember to convert the volume from cm³ to m³ (54,378.1 cm³ = 0.0543781 m³).
Buoyant force = (1025 kg/m³ × 0.0543781 m³ × 9.81 m/s²) ≈ 547.2 N
Since the statue is in equilibrium, the buoyant force equals its weight. Therefore:
Weight = Mass × Gravitational acceleration
Mass = Weight / Gravitational acceleration
Mass = 547.2 N / 9.81 m/s² ≈ 55.8 kg
The mass of the gold statue is approximately 55.8 kg.
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What does it mean to tare a balance and why do you think it is important to complete this before you begin measuring mass?.
Answers
When weighing chemicals on a balance, the term "tare" is used. Pressing the tare button enables you to record only the weight of the substance being measured, not the weight of the container it is being measured in.
Why is tare the balance prior to use important?Weighing by difference is automatically accomplished by tarring a balance. When a balance is tared with an object on the balance pan, the weight of the object is automatically subtracted from each reading up until the balance is re-tared or zeroed.
Testing a balance is crucial because you want an accurate result when you weigh an object. The calculations could all be off if a balance is not set to zero.
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"require people to consider what is right and wrong"
Answers
Need Help With Physical Ed
Answers
which of the following is not a barrier to physical activity it is fear of injury I think.
Calculate the weight of the body of mass 500 g. (Take g =10 m / s 2)
Answers
W=mg ———-> 10x0.5=5 N
you are on a bridge holding a rock. a boat is 10 meters long approaching the bridge at 5 m/s. you drop the rock as the front of the boat passes beneath you, and it hits the back of the boat. how high is the bridge above the water?
Answers
Answer:
t = S / V = 10 m / 5 m/s = 2 sec
It will take 2 seconds for the rock to fall
H = 1/2 g t^2
H = 1/2 * 9.80 * 4 = 19.6 m
Which statement describes how the atoms in a conducting wire are organized?(1 point)
Negatively charged valence electrons are packed in a repeating pattern, and positively charged nuclei flow freely.
Negatively charged valence electrons are packed in , , a repeating, , pattern, and positively charged nuclei flow freely, .
The positively and negatively charged particles in the atoms are randomly organized and move freely.
The positively and negatively charged particles in the atoms are randomly organized and move freely, .
Both the positively and negatively charged particles in the atoms move freely.
Both the positively and negatively charged particles in the atoms move freely, .
Positively charged nuclei are packed in an organized pattern, and the negatively charged valence electrons flow freely.
Answers
Answer:
Positively charged nuclei are packed in an organized pattern, and the negatively charged valence electrons flow freely.
Explanation:
The atoms in a conducting wire are organized by the Positively charged
nuclei being packed in an organized pattern, and the negatively charged
valence electrons flow freely.
A conducting wire involves the flow of electric current between the
atoms.The electric current excites the electrons thereby resulting in their flow .
The valence electrons are affected because they haven't achieved an
octet configuration and aren't stable which gives rise to their free flow
within the wire.
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true/false. during combustion in such devices as gas turbines and jet engines, acoustic waves are generated
Answers
The given statement "during combustion in such devices as gas turbines and jet engines, acoustic waves are generated" isTrue.
During combustion in devices such as gas turbines and jet engines, acoustic waves are generated. These acoustic waves are a result of the rapid expansion of gases and the combustion process, creating pressure fluctuations that propagate as sound waves. The interaction between these pressure fluctuations and the surrounding environment can lead to the generation of noise and vibrations. Managing and controlling these acoustic waves is important for optimizing the performance and reducing the noise levels of such devices.
Certainly! Here is some additional information about the generation of acoustic waves during combustion in gas turbines and jet engines:
1. Combustion Process: In gas turbines and jet engines, combustion occurs in the combustion chamber. Fuel is mixed with air and ignited, resulting in a rapid release of energy. This energy release leads to an increase in pressure and temperature, causing the gases to expand rapidly.
2. Pressure Fluctuations: As the combustion gases rapidly expand, they create pressure fluctuations in the combustion chamber. These pressure fluctuations manifest as acoustic waves, which are variations in pressure that propagate through the surrounding medium as sound waves.
3. Combustion Instabilities: In certain operating conditions, the combustion process can become unstable, leading to the generation of strong acoustic waves. These combustion instabilities can result in high-amplitude pressure fluctuations, which can cause structural vibrations, affect engine performance, and contribute to noise generation.
4. Noise and Vibrations: The acoustic waves generated during combustion can contribute to the overall noise levels produced by gas turbines and jet engines. The noise can be radiated directly from the engine exhaust or transmitted through the engine structure. Vibrations associated with these acoustic waves can also impact the structural integrity of the engine components.
5. Combustion Control: Managing and controlling the generation of acoustic waves is crucial in the design and operation of gas turbines and jet engines. Various techniques are employed to minimize combustion instabilities and reduce noise levels, including modifications to the combustion chamber design, fuel injection systems, and control algorithms.
Overall, the generation of acoustic waves during combustion in gas turbines and jet engines is a significant factor that needs to be considered for noise control and optimal engine performance. Extensive research and engineering efforts are focused on understanding and mitigating the effects of these acoustic waves to ensure efficient and quieter operation of these devices.
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What is the evidence that star formation began when the universe was only a few hundred million years old
Answers
Answer: Globular clusters with stars more than 13 billion years old contain heavy elements.
During photosynthesis, _____________ gas enters the leaves and _______ gas is given off. Responses hydrogen, carbon dioxide hydrogen, carbon dioxide, carbon dioxide, oxygen carbon dioxide, oxygen, oxygen, carbon dioxide oxygen, carbon dioxide, nitrogen, argon
Answers
Carbon dioxide enters this same leaves during photosynthesis, while oxygen gas is released.
Explain what photosynthesis is.The method whereby a plants use carbon dioxide, water, and sunshine into oxygen and sugar-based energy is known as photosynthesis. The four stages of photosynthesis include light absorption, redox reactions, ATP production, and carbon fixation.
What makes photosynthesis so crucial?While photosynthesis is the method used by plants to convert back into carbon dioxide with the aid of sunlight, it is significant. Both oxygenic and anoxygenic sunlight are possible. Plants that produce oxygen (O2) & glucose during procedure of photosynthesis, which involves breaking apart the reaction mixture of co2 and water and recombining them (C6H12O6).
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What is the direction of the magnetic force on a positive charge if:
1. V= downward; B= out of the page
2. V=upward; B=right
3. V=right; B=into the page
4. V=into the page; B=upward
5. V=out of the page; B=left
Answers
Explanation:
1) left ⬅️
2) into the page
3) upward ⬆️
4) right ➡️
5) downward ⬇️
when initially set up, in which direction does the thermal energy between the flasks flow? responses thermal energy flows from the flask on the left to the flask on the right. thermal energy flows from the flask on the left to the flask on the right. thermal energy flows from the flask on the right to the flask on the left. thermal energy flows from the flask on the right to the flask on the left. thermal energy does not flow between the two flasks. thermal energy does not flow between the two flasks. thermal energy flows equally between the two flasks
Answers
The flask on the left to the flask on the right as energy is transferred from higher to the lower temperature
When initially set up, the direction of thermal energy flow between two flasks will depend on the temperature difference between the two flasks.
Generally, thermal energy flows from hotter objects to colder objects until thermal equilibrium is reached.
So, if the flask on the left has a higher temperature than the flask on the right, thermal energy will flow from the left flask to the right flask.
Conversely, if the flask on the right has a higher temperature, thermal energy will flow from the right flask to the left flask.
However, if both flasks have the same temperature, then thermal energy will not flow between them, and they will remain at thermal equilibrium.
Therefore, the direction of thermal energy flow between two flasks is determined by the temperature difference between them.
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A penny is dropped from the top of a 180m building. How much time will it take to fall to the ground?
Answers
Answer:
9.9 seconds
Explanation:
hope this helps :)
In the figure above, which of the following is the pathway of light that allows the child to see
the ball?
Answers
Answer: Light bulb -> child’s eyes -> ball
Explanation:
I don’t know if it’s correct but I think that’s the answer
If you begin with 40 grams of a radioactive isotope and end with 10 grams, how many half-lifes of the radioactive isotope have passed ?
Answers
why the shape of the earth is spherical
Answers
Answer:
The Earth is massive enough that the pull of gravity maintains its roughly spherical shape. Most of its deviation from spherical stems from the centrifugal force caused by rotation around its north-south axis. This force deforms the sphere into an oblate ellipsoid.
2. The timing mechanism in a grandfather's clock is based on the principles of a simple
pendulum. If your clock is gaining time (running fast) what should you do to get it running
more accurately?
Answers
To get a grandfather clock running more accurately, if it is gaining time, you should adjust the length of the pendulum.
How to adjust the length of the pendulum?
This can typically be done by moving the pendulum bob up or down the pendulum rod. A shorter pendulum will cause the clock to run faster, while a longer pendulum will cause it to run slower.
It is important to make small adjustments and wait for the clock to stabilize before making further adjustments. It's also recommended to consult the clock's manual for instructions on how to adjust the pendulum length.
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What is the weight of a person who has a mass of 60 kg
Answers
Answer:
Depends on the grativy of the planet. On Earth is 600 Newtons
Explanation:
W = M . G
W = 60 . 10
W = 600
Height of cannon 5 m, initial speed of projectile 15m/s, angle of launch 0 degrees. What is the range and time in the air? Please show work!
Answers
Answer:
The range is 15.15 m and the time in the air is 1.01 s
Explanation:
Horizontal Motion
When an object is thrown horizontally (with angle 0°) with a speed v from a height h, it follows a curved path ruled exclusively by gravity until it eventually hits the ground.
The range or maximum horizontal distance traveled by the object can be calculated as follows:
\(\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}\)
To calculate the time the object takes to hit the ground, we use the equation below:
\(\displaystyle t=\sqrt{\frac{2h}{g}}\)
The cannon is shot from a height of h=5 m with an initial speed of v=15 m/s. The range is calculated below:
\(\displaystyle d=15\cdot\sqrt{\frac {2*5}{9.8}}=15*1.01\)
d = 15.15 m
The time in the air is:
\(\displaystyle t=\sqrt{\frac{2*5}{9.8}}\)
t = 1.01 s
The range is 15.15 m and the time in the air is 1.01 s
Can someone please help me with this physics question? I'm desperate!
A track team is practicing for a 4 x 100 m relay race. The first runner, Linda, is running at a constant speed of 8.6 m/s. The next runner, Jenny, will be starting from rest at the 80 m mark. She has an acceleration of 1.0m/s^2. Ideally the two runners meet at the 100m mark to hand over the baton. At this point, Jenny is still accelerating.
a) How long does it take Jenny to run from the 80-m mark to the 100-m mark?
b)At what distance behind Jenny should Linda be when Jenny starts running? (Assume for simplicity that there is no distance between the two runners when the switch happens.)
c)What’s Jenny’s speed at the 100m mark?
Answers
Answer:
a) 2·√10 seconds
b) Linda should be approximately 30.6 meters
c) Jenny's speed at the 100-m mark is approximately 6.325 m/s
Explanation:
The speed with which Linda is running = 8.6 m/s
The point Jenny starts = The 80-m mark
The acceleration of Jenny = 1.0 m/s²
a) The time it takes Jenny to run from the 80-m mark to the 100-m mark, t, is given as follows
Δs = u·t + (1/2)·a·t²
Δs = Distance = 100-m - 80-m = 20-m
u = The initial velocity of Jenny = 0
a = Jenny's acceleration = 1.0 m/s²
∴ 20 = 0×t + (1/2) × 1 × t² = t²/2
20 = t²/2
t = √(20 × 2) = 2·√10
The time it takes Jenny to run from the 80-m mark to the 100-m mark = 2·√10 seconds
b) The distance Linda runs in t = 2·√10 seconds, d = v × t
Given that Linda's velocity, v = 8.6 m/s, we have;
d = 8.0 × 2·√10 = 16·√10
The distance Linda runs in t = 2·√10 seconds = 16·√10 meters ≈ 50.6 meters
Therefore, Linda should be approximately (50.6 - 20) meters = 30.6 meters behind Jenny when Jenny starts running
c) Jenny's speed at the 100 m mark is given as follows;
v = u + a·t
t = 2·√10 seconds, a = 1.0 m/s², u = 0
∴ v = 0×t + 1.0×2·√10 = 2·√10 ≈ 6.325
Jenny's speed at the 100-m mark ≈ 6.325 m/s
In which part of a tree does photosynthesis most likely take place?
bark
roots
leaves
trunk
Answers
A solenoid inductor has 60 turns. When the current is 4 A, the flux through each turn is 50 uWb. What is the induced emf when the current changes at 30 A/s?
Answers
The induced emf when the current changes at 30 A/s is -0.565 V.
A solenoid inductor has 60 turns and the flux through each turn is 50 uWb when the current is 4 A. The induced emf when the current changes at 30 A/s can be determined by making use of Faraday's law of electromagnetic induction.
Faraday's law of electromagnetic induction states that the induced emf is equal to the negative of the rate of change of the magnetic flux through a circuit. Thus, the induced emf E in volts (V) is given by:
E = -dΦ/dt
where Φ is the magnetic flux through the circuit.
The magnetic flux Φ through the solenoid inductor can be determined by making use of the formula:
Φ = B x A
where B is the magnetic field strength in teslas (T) and A is the area of the cross-section of the solenoid inductor in square meters (m²).
The magnetic field strength B in the solenoid inductor can be determined by making use of the formula:
B = μ₀ x n x I
where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current in amperes (A).
Thus, the magnetic flux Φ through each turn of the solenoid inductor is given by:
Φ = B x A = μ₀ x n x I x A
The total magnetic flux through the solenoid inductor is given by:
Φ_total = n x Φ = n x μ₀ x n x I x A = μ₀ x n² x A x I
When the current changes at 30 A/s, the induced emf E in the solenoid inductor is given by:
E = -dΦ_total/dt= -μ₀ x n² x A x dI/dt
Substituting the given values, we get:
E = -4π x 10⁻⁷ x (60)² x π x (0.05)² x 30 = -0.565 V
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How many pascals is a kilopascal equal to?
Answers
1,000 pascals is equal to 1 kilopascal.
To convert kilopascal to pascals, multiply by 1,000. To convert pascal to kilopascal, divide by 1,000.
A 10 kg box is pulled across a level floor, where the coefficient of kinetic friction is 0. 35. What horizontal force is required for an acceleration of 2. 0 m/s2?
Answers
The horizontal force required for an acceleration of 2.0 m/s² is equal to 54.3 N.
What is the force of kinetic friction?The force of kinetic friction is a type of frictions that acts on a moving object on a surface. In order to calculate the force of kinetic friction, we use the formula F = μN where F is the force of kinetic friction, μ is the coefficient of the kinetic friction, and N is the normal force. However, we need to take into account the force along the x-axis. Therefore, the formula ∑F = μN + ma will help us find the horizontal force.
Let ∑F represent the net force, N represent the normal force, m represent the mass of the box, g represent the acceleration of gravity, µ represent the kinetic friction, and a represent an acceleration of 2 m/s².
∑F = µN + ma
∑F = µmg + ma
∑F = m (µg + a)
∑F = 10 kg (0.35 × 9.8 m/s² + 2 m/s²)
∑F = 10 kg (3.43 m/s² + 2 m/s²)
∑F = 10 kg (5.43 m/s²)
∑F = 54.3 kg × m/s²
∑F = 54.3 N
The net force is equal to 54.3 N. That is the horizontal force required!
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On a horizontal surface, a box is drugged from point A to B by a horizontal force of 10 N what work must be done it the distance between A and B is 6m?
Answers
To drag the box from point A to B on a horizontal surface using a horizontal force of 10 N, a work of 60 joules (J) must be done over a distance of 6 meters (m).
On a horizontal surface, if a box is dragged from point A to B by a horizontal force of 10 N, the work done can be calculated using the formula:
Work = Force x Distance
In this case, the force applied is 10 N and the distance between points A and B is 6 m.
Plugging these values into the formula, we get:
Work = 10 N x 6 m = 60 Nm
The unit for work is joules (J), so the work done in this scenario is 60 J.
When a force is applied to move an object, work is done.
The work done is calculated by multiplying the force applied by the distance over which the force is exerted.
In this case, the force applied is 10 N and the distance is 6 m.
Multiplying these values gives us the work done, which is 60 J.
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A car of mass 1167 kg accelerates on a flat highway from 10 m/s to 28.0 m/s. How much work does the car's engine do on the car?
Answers
Answer:
Workdone = 465766038 Joules.
Explanation:
Given the following data;
Mass = 1167
Initial velocity = 10m/s
Final velocity =28m/s
To find the workdone;
We know that from the workdone theorem, the workdone by an object or a body is directly proportional to the kinetic energy possessed by the object due to its motion.
Mathematically, it is given by the equation;
W = Kf - Ki
W = ½MVf² - ½MVi²
Substituting into the equation
W = ½(1167)*28² - ½(1167)*10²
W = ½ * 1361889* 784 - ½ * 1361889 * 100
W = 533860488 - 68094450
Workdone = 465766038 Joules.