The required percentage is 24% and the number of ways to get the microstates is 2.98*10²⁹.
The number of microstates for 49 heads, 51 tails, 50 heads and 50 tails and 51 heads and 49 tails are tabulated below:
The total number of microstates is,
Total(micro) = 9.9*10²⁸ + 1*10²⁹ + 9.9*10²⁸
Total = 3 * 10²⁹
The total number of microstates is 3 * 10²⁹.
The number of microstates in the whole range (100 heads and 0 tails to 0 head and 100 tails) when tossing 100 coins is 1.27 * 10³⁰.
The percentage required is =
= (total number of microstates / total no. of possible ways)*100
= (2.98*10²⁹/1.27*10³⁰)*100
= 24%
Therefore, the required percentage is 24% and the number of ways to get the microstates is 2.98*10²⁹.
To know more about microstates, refer: https://brainly.com/question/20308487
#SPJ4
an electron beam after being accelerated from rest through a potential difference of 5kv in vacum is allowed to imping normally on a fixed surface. if the incident current is 50 mew a determine the force exerted on the surface assuming that it bring the electron to rest .take mass of electron is 9.1*10^-
The force exerted on the surface assuming that it bring the electron to rest is -6.1 * 10^-16 N
How to calculate?The force exerted on the surface can be determined using the equation below:
Force = (incident current) * (change in kinetic energy) / (change in time)
The change in kinetic energy of each electron can be calculated as:
ΔKE = (1/2) * (mass of electron) * (final velocity^2 - initial velocity^2)
Since the electrons come to rest, the final velocity is 0. Hence the initial velocity can be calculated using the equation:
initial velocity = (2 * potential difference) / mass of electron
Therefore we calculate ΔKE and then find the force:
mass of electron = 9.1 * 10^-31 kg
potential difference = 5 kV = 5 * 10^3 V
time = 5 s
incident current = 50 * 10^-6 A
initial velocity = (2 * potential difference) / mass of electron = (2 * 5 * 10^3) / (9.1 * 10^-31) = 1.1 * 10^8 m/s
ΔKE = (1/2) * (mass of electron) * (0^2 - (1.1 * 10^8)^2) = -6.1 * 10^-19 J
Force = (incident current) * (ΔKE) / (time) = (50 * 10^-6) * (-6.1 * 10^-19) / (5) = -6.1 * 10^-16 N
Learn more about force at: https://brainly.com/question/12970081
#SPJ1
Part 1
1. Consider the potential energy diagram shown below. This graph shows the chemical potential energy in a reaction system over time. The y–axis is potential energy in kilojoules. The x–axis is the reaction progress, or time.
a. Does this graph represent an endothermic or an exothermic reaction? Explain your answer.
b. What is the enthalpy change, ΔH, for this reaction? Show your work.
c. What is the activation energy, Ea, for this reaction? Show your work.
Part 2
2. In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ. Use this information to answer questions a – d.
a. Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction. (Note: You may use the graph provided below or sketch your own. Resize as needed.)
b. What is the activation energy for this reaction?
c. What is the enthalpy change for this reaction?
d. Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
Part 3
3. The coating on the head of a match is highly flammable. When it burns, it releases a great deal of energy. However, before the match can burn, it must gain a small amount of energy from a spark. That spark is typically produced by striking (rubbing) the match head against a rough surface.
a. Sketch a potential energy diagram that represents the striking and burning of the match. Remember to label the diagram with the energy changes that occur. (Note: you do not have to use actual energy values. And you may use the graph provided below or sketch your own.)
b. Describe a potential energy diagram that represents the striking and burning of the match.
1a) Energy is absorbed, and the reaction is endothermic.
1b) The products have higher potential energy, the enthalpy change is positive, indicating an endothermic reaction.
1c) The peak of the potential energy diagram.
2a) The activation energy labeled as the difference between the reactants and the peak
2b) The activation energy can be determined by calculating the difference between the reactants.
2c) The enthalpy change can be calculated by finding the difference between the energy of the reactants and the energy of the products.
2d) The reaction is exothermic. In terms of the graph's shape.
3a) A decrease in potential energy as the products form.
3b)This indicates that a small amount of energy from the spark is needed to overcome the activation energy barrier
Part 1:
1a. To determine if the reaction is endothermic or exothermic, we need to analyze the potential energy diagram. If the products have lower potential energy than the reactants, it indicates that energy is released, and the reaction is exothermic. Conversely, if the products have higher potential energy than the reactants, it suggests that energy is absorbed, and the reaction is endothermic.
1b. The enthalpy change (ΔH) for the reaction can be calculated by comparing the potential energy of the products and the reactants. If the products have lower potential energy, the enthalpy change is negative, indicating an exothermic reaction. If the products have higher potential energy, the enthalpy change is positive, indicating an endothermic reaction.
1c. The activation energy (Ea) can be determined by examining the energy difference between the reactants' potential energy and the peak of the potential energy diagram.
Part 2:
2a. Since the energy of the reactants is 30 kJ, the energy of the products is 5 kJ, and the maximum energy of the system is 40 kJ, we can sketch a potential energy diagram with the reactants at 30 kJ, the products at 5 kJ, the activation energy labeled as the difference between the reactants and the peak, and the enthalpy change as the difference between the reactants and products.
2b. The activation energy can be determined by calculating the difference between the reactants' energy and the peak of the potential energy diagram.
2c. The enthalpy change can be calculated by finding the difference between the energy of the reactants and the energy of the products.
2d. Based on the energy values, if the energy of the products is lower than the energy of the reactants, the reaction is exothermic. In terms of the graph's shape, if the potential energy decreases from reactants to products, it indicates an exothermic reaction.
Part 3:
3a. The potential energy diagram for the striking and burning of a match can be sketched to show the initial potential energy of the reactants, a peak representing the activation energy, and a decrease in potential energy as the products form.
3b. The potential energy diagram would show an initial higher potential energy for the reactants, a peak representing the activation energy required for the reaction to occur, and a decrease in potential energy as the products form. This indicates that a small amount of energy from the spark is needed to overcome the activation energy barrier, leading to the release of a greater amount of energy during the burning process.
For more question on Energy
https://brainly.com/question/13881533
#SPJ11
If the universe were to suddenly begin shrinking rather than continue expanding, how would it affect the cosmic microwave background radiation?
A. It would decrease in temperature.
B. It would blue-shift.
C. It would red-shift.
D. It would increase in temperature.
If the universe were to suddenly begin shrinking rather than continuing to expand, it would have a significant effect on the cosmic microwave background radiation (CMB).
The CMB is the afterglow of the Big Bang and is observed as a nearly uniform background radiation in all directions. It is thought to have been emitted when the universe was about 380,000 years old and had cooled enough for neutral atoms to form.
If the universe were to suddenly begin shrinking, the photons in the CMB would lose energy as they travel through the contracting space. This would cause the CMB radiation to shift to shorter wavelengths, which is known as blue-shifting.
Therefore, the correct answer is B. It would blue-shift.
The plane has just taken off and reached a height of 200 m when one of its wheels falls off.
The wheel has a mass of 300 kg.
What speed does it hit the ground with?
(Ignore air resistance.)
Give your answer to the nearest 0.1 m/s
Use g = 9.8 m/s2 for the acceleration due to gravity.
A
6.3 m/s
Answer: 63 m/s
Explanation: If wheel drops vertically, you can use
conservation of energy : Ep = Ek. mgh = ½mv^2 and
solve v = √(2gh ) = √ (2·9.81 m/s²·200 m) = 62.6 m/s.
NOTE: wheel has also horizontal speed which was not mentioned here.
A child throws a small rubber ball at a heavier, larger basketball that is sitting still. The small ball bounces backward off the basketball. Describe the motion of the basketball after the small ball bounces back. Does it move at all? Does it move faster or slower than the small ball? what direction does it move? How does newtons third law affect your answer?
When a small rubber ball bounces off a larger, heavier basketball, the basketball will move slightly in the opposite direction, but it will move much slower than the rubber ball due to its larger mass.
According to Newton's third law of motion, every action has an equal and opposite reaction. In the case of the small rubber ball bouncing off the basketball, the rubber ball exerts a force on the basketball, and the basketball exerts an equal and opposite force back on the rubber ball.
As a result, the small rubber ball bounces back in the opposite direction, while the basketball experiences a force in the opposite direction.
The motion of the basketball after the small ball bounces back depends on the mass and velocity of the two objects. Since the basketball is much larger and heavier than the rubber ball, it will not move much, if at all.
In fact, if the rubber ball is light enough and bounces back with enough force, it may cause the basketball to move slightly in the opposite direction. However, the basketball will move much slower than the rubber ball due to its larger mass and slower acceleration.
In terms of direction, the basketball will move in the opposite direction of the rubber ball, as dictated by the conservation of momentum. Since the total momentum of the system before and after the collision must be conserved, the basketball will move in the opposite direction of the rubber ball to balance out the momentum.
For more such questions on direction visit:
https://brainly.com/question/27854247
#SPJ11
i need help on number 6 pls due today
Explanation:
Graph A matches description 4 because the car is coming back.
Graph B matches description 3 because the speed of the car is decreasing.
Graph C matches the description 2 because the car is traveling at a constant rate.
Graph D matches the description 1 because the car is stopped.
If a piece of metal adds 2090 Joules of heat to a glass of water that has a mass of 100 grams, how much will the temperature change? The specific heat of water is 4.18 J/g^ * K
A piece of metal adds 2090 Joules of heat to a glass of water.
The mass of the water is 100 grams.
How much will the temperature change?
The heat transferred from the metal to the glass of water is given by
\(Q=m\cdot C\cdot\Delta T\)Where m is the mass, C is the specific heat of water (4.18 J/gK), Q is the amount of heat, and △T is the change in the temperature of the water.
Re-arranging the above equation for △T
\(\begin{gathered} Q=m\cdot C\cdot\Delta T \\ \Delta T=\frac{Q}{m\cdot C} \end{gathered}\)Substitute the given values into the above equation
\(\Delta T=\frac{2090}{100\cdot4.18}=5\; \degree C\)Therefore, the temperature change will be 5 °C
2nd option is the correct answer.
An electromagnet is made by wrapping many turns of wire around an iron bar and
causing a current to flow through the wire. How would increasing the electrical current
affect the electromagnet?
Increasing the electrical current flowing through the wire in an electromagnet would have several effects on its magnetic properties.
Increased magnetic field strength: The magnetic field strength produced by an electromagnet is directly proportional to the current passing through the wire.
By increasing the electrical current, the magnetic field strength of the electromagnet would also increase. This means that the electromagnet would have a stronger magnetic pull and be able to attract or magnetize nearby magnetic materials more effectively.
Increased magnetic field range: As the current flowing through the wire increases, the magnetic field generated by the electromagnet expands and reaches a larger area. This means that the electromagnet's influence on magnetic objects in its vicinity would extend over a greater distance.
Increased lifting capacity: The force exerted by the electromagnet on magnetic materials is directly proportional to the magnetic field strength. By increasing the electrical current, the electromagnet's lifting capacity would also increase. It would be able to lift or hold larger and heavier magnetic objects.
Increased heat generation: Increasing the electrical current would result in a higher power dissipation in the wire, leading to increased heat generation. This is due to the Joule heating effect, where the resistance of the wire causes it to heat up as current passes through.
Therefore, it is important to ensure that the wire and the electromagnet are designed to handle the increased current and dissipate the generated heat to prevent overheating and damage.
For more such questions on electromagnet visit:
https://brainly.com/question/13874687
#SPJ11
PLEASE HELP!!! Which process in living things evolved as oxygen levels increased in Earth’s atmosphere?
glycolysis
photosynthesis
fermentation
aerobic respiration
Answer: Areobic Resporation
Explanation; -Aerobic respiration is the process in living things that evolved as oxygen levels increased in earth's atmosphere.
How has Physics improved
or affected our society?
By supplying the fundamental knowledge required to create new instruments and techniques for medical use, physics enhances our quality of life
From can openers, light bulbs, and mobile phones to muscles, lungs, and brains; from paintings, piccolos, and pirouettes to cameras, vehicles, and cathedrals; from earthquakes, tsunamis, and storms to quarks, DNA, and black holes, physics aids us in understanding the workings of the world around us.
The science of physics is the most fundamental and has many applications in contemporary technology. Because it makes it possible for smartphones, computers, televisions, watches, and many other modern technologies to function automatically, physics is crucial to modern technology.
To learn more about physics please visit-
https://brainly.com/question/14338730
#SPJ9
A girl throws a tennis ball with an initial speed of 20.0 m/s in the direction of 65.0° above the horizontal. She runs after the ball 0.30 s later from rest with a constant acceleration and then catches the ball at the same height. Ignore air resistance. (a) What is the maximum height (measured from the starting point) that the ball attains? (b) How long does it take for the girl (including the initial 0.30 s) to catch the ball? (c) How far has the ball gone horizontally when it is caught? (d) What is the acceleration of the girl during her run?
Answer:
a) h = 16.7 m
b) t = 3.4 s
c) d = 31.3 m
d) a = 5.42 m/s²
Explanation:
a) The maximum height can be calculated as follows:
\( V_{f_{y}}^{2} = V_{0_{y}}^{2} - 2gh \)
Where:
\(V_{f_{y}}\): is the final speed in "y" direction = 0 (for maximum height)
\(V_{0_{y}}\): is the initial speed in "y" direction
h: is the maximum height
g: is the gravity = 9.81 m/s²
\(h = \frac{V_{0_{y}}sin(65)^{2}}{2g} = \frac{(20*sin(65))^{2}}{2*9.81} = 16.7 m\)
b) The time that will take for the girl to catch the ball is:
\( h_{f} = h_{0} + V_{0_{y}}*t - \frac{1}{2}gt^{2} \)
By solving the above equation for t we have:
\( t = \frac{2V_{0_{y}}}{g} = \frac{2*20*sin(65)}{9.81} = 3.70 s \)
Since the girl runs after the ball 0.30 s later the total time is:
\( t = 3.70 - 0.3 = 3.4 s \)
c) The distance in x can be found as follows:
\( x = V_{0_{x}}*t = 20*cos(65)*3.7 = 31.3 m \)
d) The acceleration of the girl is:
\( x_{f} = x_{0} + V_{0_{x}}*t + \frac{1}{2}at^{2} \)
By solving the above equation for "a" we have:
\( a = \frac{2*x_{f}}{t^{2}} = \frac{2*31.3}{(3.4)^{2}} = 5.42 m/s^{2} \)
I hope it helps you!
a rock with the mass of 10 kg sits at the top of a hill 20 m high. what is the potential energy
Answer:
What is the potential energy? PE= mghPE= hwKE= 1/2mv2
Answer:1960J
Explanation:
Why should the temperature of mammals be regulated
Because mammals are warm blooded.
From a height of 30 meters we throw an object vertically downwards with a speed of 2 m/s. How long will it take to reach the ground and with what speed?
1. The time taken for the object to reach the ground is 2.47 s
2. The speed with which the object will reach the ground is 26.206 m/s
1. How do I determine the time taken?
We can obtain the time taken for the object to reach the ground as follow:
Height (h) = 30 metersAcceleration due to gravity (g) = 9.8 m/s²Time taken to reach the ground (t) = ?h = ½gt²
30 = ½ × 9.8 × t²
30 = 4.9 × t²
Divide both side by 4.905
t² = 30 / 4.9
Take the square root of both side
t = √(30 / 4.9)
t = 2.47 s
Thus, the time taken to reach the ground is 2.47 s
2. How do i determine the speed?
The speed the object will use to reach the ground can be obtained as follow:
Initial speed (u) = 2 m/sTime (t) = 2.47 sAcceleration due to gravity (g) = 9.8 m/s²Final speed (v) =?v = u + gt
v = 2 + (9.8 × 2.47)
v = 2 + 24.206
v = 26.206 m/s
Thus, the speed is 26.206 m/s
Learn more about motion under gravity:
https://brainly.com/question/16936121
#SPJ1
Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?
OF
The mass of Car B is -6000 kg.
To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
Therefore, we can write the equation for the conservation of momentum as:
(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision
Let's substitute the given values into the equation:
(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)
Simplifying the equation:
20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)
Dividing both sides by -5 m/s:
-4000 kg = 2000 kg + mass of Car B
Subtracting 2000 kg from both sides:
mass of Car B = -4000 kg - 2000 kg
mass of Car B = -6000 kg
know more about momentum here:
https://brainly.com/question/30487676
#SPJ8
child in a circular, rotating space station tosses a ball in such a way so that once the station has rotated through one half rotation, the child catches the ball. From the child's point of view, which plot shows the trajectory of the ball? The child is at the bottom of the space station in the diagrams below, but only the initial location of the ball is shown. (A) (B)
Based on the description provided, the diagram that correctly illustrates the movement of the ball from the child's perspective is C.
How is the movement described?Considering the child is rotating and he or she catches the ball some seconds after throwing it, it can be concluded the trajectory is closed, which means the diagram should show the ball returning to the initial point.
Based on the above, diagrams A and B are not possible because the ball is not retruning to the child.
Which diagram correctly illustrates the movement?Considering the child is moving at a constant speed and in a defined circular area, it is expected the movement resembles a circle; however as the ball will be affected by a leftward force in case the child is moving clockwise the movement will not be exactly a circle. Based on the above, the best option is diagram C.
Learn more about diagrams in: https://brainly.com/question/11729094
#SPJ1
Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 54 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
Answer:
Explanation:
Sure, I'd be happy to help you with the question!
Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.
So, the function can be written as:
Output = (6 * x) - 80
Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:
x = (6 * x) - 80
Let's solve this equation to find the value of x:
x = 6x - 80
Subtracting 6x from both sides, we get:
x - 6x = -80
Combining like terms, we have:
-5x = -80
Dividing both sides by -5, we find:
x = (-80) / (-5)
Simplifying the expression, we have:
x = 16
Therefore, the input (x) that results in the input being the same as the output is 16.
To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.
Answer:
16
Explanation:
(x*6) - 80 = x
Multiply the parentheses
6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16
what is the force when ur pulling heavy furniture that wont budge
Answer:
Gravity? is it multiple choice?
Four forces each have a magnitude of 12.0 lb. Their respective directions are north, south, east, and west.
Use the graphical method for vector addition to find the resultant force.
magnitude: _______
direction: ________.
The correct answer for magnitude: _______, direction: ________ is: magnitude: 0, direction: none
The resultant force can be found by using the graphical method for vector addition.
First, we need to draw the vectors representing the four forces. Since each force has a magnitude of 12.0 lb, we can draw each vector with a length of 12.0 units. The directions of the vectors are north, south, east, and west, so we can draw them as follows:
North: 12.0 units
South: 12.0 units downward
East: 12.0 units to the right
West: 12.0 units to the left
Next, we need to add the vectors together to find the resultant force. Since the vectors are in opposite directions, they will cancel each other out. The north and south vectors will cancel each other out, and the east and west vectors will cancel each other out.
Therefore, the resultant force will have a magnitude of 0 and no direction.
magnitude: 0
direction: none
To know more about vector addition refer here:
https://brainly.com/question/12937011#
#SPJ11
In the Bohr model of the hydrogen atom, an electron in the 3rd excited state moves at a speed of 2.43 105 m/s in a circular path of radius 4.76 10-10 m. What is the effective current associated with this orbiting electron
Answer:
Current =,charge / time
Charge = e = 1.6E-19 coulombs
t = T time for 1 revolution (period)
v = S / T = distance traveled in 1 revolution / time for 1 revolution
T = S / v = 2 pi * 4.76E-10 / 2.43E5 = 1.23E-14
I = Q / T = 1.6E-19 / 1.23E-14 = 1.30E-5
ASSIGNMENT what is the length of wire whose resistivity 3x10^-6ohm with the r=0.2mm with a given Value of 15.552 Resistance.
The length of wire whose resistivity is 3 x 10^-6ohm, and radius is 0.2 mm, with a given value of 15.552 resistance is 6.5268 m.
Given data: r = 0.2 mm = 0.2 x 10^-3m Resistivity = 3 x 10^-6 ohm R = 15.552 ohm
Formula Used: Resistivity (ρ) = (RA)/L
Where, R is resistance, A is the area of cross-section, L is the length of the wire.
Resistance (R) = ρ (L/A)
Multiplying A on both sides, we get
Resistance (R) x A = ρ L ... equation (1)
Area of the cross-section of a wire of radius (r) is given by, A = πr^2
where, π is a constant whose value is 3.14
Substituting the given values, we get
A = πr^2= π (0.2 x 10^-3m)^2= 1.2566 x 10^-7 m^2
Substituting the values of R, A and ρ in equation (1), we get
Length of wire (L) = (Resistance x Area) / Resistivity= (15.552 ohm x 1.2566 x 10^-7 m^2) / (3 x 10^-6 ohm)= 6.5268 m
Therefore, the length of wire whose resistivity is 3 x 10^-6ohm, and radius is 0.2 mm, with a given value of 15.552 resistance is 6.5268 m.
For more such questions on resistivity, click on:
https://brainly.com/question/30934104
#SPJ8
A dog is 60m away while moving at a constant velocity of 10 m/s toward you where is the dog after 4 seconds
Answer:
20 m away from you
Explanation:
After 4 seconds, dog will have moved 40 metres since 10×4=40
The dog will be 60-40 metres away from you. Which gives our answer of 20 m
which can occur in a physical change
Answer:
A physical change involves a change in physical properties. Examples of physical properties include melting, transition to a gas, change of strength, change of durability, changes to crystal form, textural change, shape, size, color, volume and density.
Explanation:
Which graph shows the change in velocity of an object in free fall?
Answer:
The graph of the velocity of an object in free fall would look like a straight line sloping downward. As the object falls, its velocity increases at a constant rate, so the graph of its velocity versus time will be a straight line with a negative slope. This is because acceleration due to gravity is a constant -9.8 meters per second squared, so the velocity of a free-falling object will increase by 9.8 meters per second every second.
Therefore, the graph that shows the change in velocity of an object in free fall is a straight line with a negative slope. Here is an example of such a graph:
Free Fall Velocity Graph
What is the current if the electricpotential is 120 V and the resistance is
60 ohms?
Answer:
2 amperes
Explanation:
V = IR
V/R = I
120 v / 60 ohms = 2 amps
what are the three law of reflection?
Answer:
The three law of reflection are:-The incident ray, the reflected ray, and normal ray all lie in same plane.The angle of reflection is always equal to the angle of incidence.Incident ray and reflected ray are on different sides of the normal.Hope you like it.....Which one of the statements below is true about mechanical waves?
They must travel in empty space.
They can travel in a vacuum.
Both sound and light are examples of mechanical waves.
They require a medium to travel through.
Answer:
Both sound and waves
Explanation:
Thank me later
2. True or false?
Forensic entomology uses the study of insects to help criminal investigations.
Identical charges q = +7.00 μC are placed at opposite corners of a square that has sides of length 7.00 cm. Point A is at one of the empty corners, and point B is at the center of the square. A charge q0 = -1.00 μC is placed at point A and moves along the diagonal of the square to point B. How much work does the electric force do on q0 during its motion from A to B? Include a sign to show whether this work is positive or negative.
The work that the electric force do on q₀ during its motion from A to B is + 0.792 J.
What is work done?When an item is pushed across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.
In the given problem, distance between q₀ and q is:
d₁ = √2 x 7.00 cm = 9.90 cm
The distance between q₀ and the charge q is:
d₂ = √2 x 7.00 cm = 9.90 cm
The electric force between two charges is given by Coulomb's law:
F = k × q₁× q₂ / r²
where k is the Coulomb constant, q₁ and q₂ are the charges, and r is the distance between them.
At point A, the electric force on q₀ due to the charge q is:
F1 = k × q₀ × q / d₁²
= (9.0 x 10⁹ N·m²/C²) × (-1.00 × 10⁻⁶C) × (7.00 × 10⁻⁶ C) / (9.90 x 10⁻² m)²
= -4.002 N
The negative sign indicates that the force is in the opposite direction to the displacement of q₀.
At point B, the electric force on q₀ due to the charge q is:
F2 = k × q₀ × q / d₂²
= (9.0 × 10⁹)× (-1.00 × 10⁻⁶) × (7.00 × 10⁻⁶) / (9.90 × 10⁻²)²
= -4.002 N
So, work done by a constant force:
W = F × d × cosθ
So the work done by the electric force on q₀ from A to B is:
W = F1 × d1 × cos(180) + F2 × d2 × cos(180) = (-4.002 N) × (9.90 × 10⁻² m) × (-1) + (-4.002 N) × (9.90 × 10⁻² m) × (-1) = 0.792 J
The positive value indicates that the work done by the electric force is in the direction opposite to the displacement of q₀, which means that the electric force does negative work on q₀.
Learn more about work done, here:
https://brainly.com/question/13662169
#SPJ1
Part A
When you sneeze, the air in your lungs accelerates from rest to 125 km/h in approximately 0.30 s. What is the acceleration of the air in m/s²?
Express your answer to two significant figures and include the appropriate units.
Value
Submit
Request Answer
m/s²
?
The value of acceleration is 3 m/s2.
What is Acceleration?Our body makes every effort to open up our airways. When sneezing, the diaphragm, abdomen, vocal cord, and chest muscles all work together. As a result, the air leaving our lungs accelerates rapidly.
Change in velocity, Δv
Change in time, Δt
Note that
1 km = 1000 m
1 h = 3600 s
Therefore
Δv = (125,000 m/h)*(1/3600 h/s) = 3 m/s2.
Therefore, The value of acceleration is 3 m/s2.
To learn more about Acceleration, refer to the link:
https://brainly.com/question/12550364
#SPJ1