If biologists measure the total current due to potassium ions moving through a cell membrane of a rock crab neuron cell as 27 nA . then 1.6875 x 10^10 ions pass through the membrane of the rock crab neuron cell each second.
To determine the number of ions passing through the membrane each second, we need to use the concept of current and the charge of a single ion.
The current is given as 27 nA (nanoamperes), which represents the rate of charge flow per unit of time. To find the number of ions passing through the membrane, we can divide the current by the charge of a single ion.
The charge of a single ion can be calculated using the elementary charge (e), which is approximately 1.6 x 10^-19 coulombs.
Let's perform the calculation:
Current (I) = Charge (Q) / Time (t)
Number of ions passing through the membrane per second = Current (I) / Charge of a single ion (q)
Charge of a single ion (q) = Elementary charge (e) = 1.6 x 10^-19 C
Number of ions passing through the membrane per second = 27 nA / (1.6 x 10^-19 C)
To convert nA (nanoamperes) to amperes (A), we divide by 10^9:
Number of ions passing through the membrane per second = (27 x 10^-9 A) / (1.6 x 10^-19 C)
Now, we can perform the calculation:
Number of ions passing through the membrane per second = (27 / 1.6) x (10^-9 / 10^-19) ions
Number of ions passing through the membrane per second ≈ 1.6875 x 10^10 ions
Therefore, approximately 1.6875 x 10^10 ions pass through the membrane of the rock crab neuron cell each second.
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If the kinetic energy of a 5.5 kg bowling ball is 15.6 Joules, calculate its velocity.
We are given –
Mass of bowling ball is = 5.5 kgKinetic Energy is = 15.6 JVelocity =?As we know –
↠K.E = 1/2 mv ²
↠ 15.6 = 1/2 × 5.5 × v ²
↠15.6 = 2.75 v ²
↠2.75v ² =15.6
↠v ² = 5.67
↠v=√5.67
↠v = 2.381 m/s
Henceforth,velocity is 2.38 m/sA rubber ball is dropped onto a ramp that is tilted at 20 ∘ , as shown in the figure(Figure 1) . A bouncing ball obeys the "law of reflection," which says that the ball leaves the surface at the same angle it approached the surface. The ball's next bounce is 3.0 m to the right of its first bounce.
The ball rebound speed on its first bounce will be 4.79 m/s.
How to calculate the speed?It should be noted that based on the information given the launch angle will be:
= 70° - 20°
= 50°
Therefore, vy/vx = tan 50
vx = vy/tan 50 = 3/t
-1.09 = vy + 0.5gt²
= 3tan50 + 4.9t²
0.95 = t²
t = ✓0.95
t = 0.97.
vx = 3/0.97
vx = 3.06m/s
vy = 3.68m/s
Therefore, the speed will be:
= ✓(3.06)² + (3.68)²
= 4.79m/s
Complete question:
A rubber ball is dropped onto a ramp that is tilted at 20° as shown in the figure(Figure 1) . A bouncing ball obeys the "law of reflection," which says that the ball leaves the surface at the same angle it approached the surface. The ball's next bounce is 3.0 m to the right of its first bounce. What is the ball rebound speed on its first bounce?
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The Sun is only an average sized star. Why does it appear so much brighter than any other star?
Because it's so much closer to us than any other star.
Two band members are marching toward each other beginning from opposite end zone goal lines (100 yards apart). One band member is playing a picolo and marching at 5 ft/s and the other is playing a sousaphone and marching at 1 ft/s. At what yard line do they meet?
Answer:
17
Explanation:
answer is 16.6666 which is equal to 17
The electrostatic force between two charges is originally F. Which expression represents the new electrostatic force between the two charges if one charge doubles and the other one is divided by three?
• 1/6
• 3/2
• 2/3
• 6
Answer: c)• 2/3
Explanation:
Lets say q1 and q2 are two charges with r distance far apart.
So electrostatic force
F = (k q1 q2) / r²
as k = Coulomb's constant
Now
q1' = 2q1
q2' = q2/3
Therefore the new electrostatic force
F' = (k q'1 q'2) / r²
F' = (k 2q1 q2) / 3r²
F' = 2/3 [(k q1 q2) / r²]
so F' = 2/3F
New electrostatic force is 2/3F
The expression that represents the new electrostatic force between the two charges if one charge doubles and the other one is divided by three is;
Option C; F_new = ²/₃F
Formula for electrostatic force is;
F = kq₁q₂/r²
where;
k = Coulomb's constant
q₁ = first charge
q₂ = second charge
r = distance between charges
Now, we are told that one charge doubles and the other one is divided by three. Thus, the new charges are now;
2q₁ and q₂/3
Thus;
F_new = k(2q₁ × q₂/3) / r²
F_new = ²/₃kq₁q₂/r²
F_new in terms of F is;
F_new = ²/₃F
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can anyone write for me all the equation of linear motion
All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.
Equations of MotionIn terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.
s = ut + (1/2)at^2v = u + atv_avg = (u + v) / 2s = v_avg * ts = (u + v) / 2 * tv^2 = u^2 + 2asIn conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.
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If the 4th harmonic in the diagram has a wavelength = 10 m,
find the wavelengths of the other three harmonics
The wavelengths are given as
firsts harmonic = 40 m
second harmonic = 20 m
third harmonic = 13.33 m
What is wavelengthsWavelength refers to the distance between two consecutive points of a wave that are in phase, or the distance it takes for a wave to complete one full cycle. It is commonly denoted by the Greek letter lambda (λ).
Using the wavelength of the fourth harmonics as reference, we have that the full scale is 20 m
firsts harmonic = 40 m (double of the full scale)
second harmonic = 20 m (covers the full scale)
third harmonic = 20 m * 2/3 = 13.33 m (covers 2/3 of the full scale)
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11. Evelyn rolled a tennis ball down the hallway.The ball had a negative acceleration of -0.4m/s2 until it came to a stop 8 seconds later.With what initial velocity did Evelyn roll theball?A. -20 m/sB. 20 m/sC. -3.2 m/sD. 3.2 m/s
Given data:
* The final velocity of the ball is 0m/s.
* The acceleration of the ball is,
\(a=-0.4ms^{-2}\)* The time taken by the ball is 8 s.
Solution:
By the kinematics equation, the initial velocity of the ball in terms of the final velocity, acceleration, and the time taken is,
\(v-u=at\)where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken,
Substituting the known values,
\(\begin{gathered} 0-u=-0.4\times8 \\ -u=-3.2 \\ u=3.2\text{ m/s} \end{gathered}\)Thus, the initial velocity of the ball is 3.2 m/s.
Hence, option D is the correct answer.
A cup containing 25 mL of hot water and a similar cup containing 25 mL of cold water is placed on a table in a room at 21°C. Which of the following
graphs shows the most likely change in temperature for each cup from 0 min to 40 min?
Tools -
By observing the graph we get : hot above 21 going towards 21, cold below 21 going towards 21
How to read a graph?Examine your data.
If necessary, compute an average for each of your experiment's trials.
Be sure to give each table and graph a clear label.
Put the dependent variable on the y-axis and the independent variable on the graph's x-axis.
Graphs present information to you as a picture or visual representation. This knowledge is referred to as "data." When you put data into a picture, it can appear lean or bulky, lengthy or short. In other words, there are occasions when we have a ton of data, which calls for numerous graphs.
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The much more likely temperature change for each cups from 0 min - 40 min is shown by warm above 21 heading towards 21 and chilly below 21 going near 21.
What is temperature?The temperature of the system serves as a proxy for its overall kinetic energy. The temperature of a system rises as the kinetic energy of the system begins to rise as even the particle's velocity rises. Heat is the term used to describe the energy that is transmitted between two components with different temperatures.
What is the temperature process?The temperatures of an element is the most accurate analog for something akin to the angular momentum of a particle. The average energy of an object's constituent particles can be calculated along with its temperature. As the temperature increases, the molecules travel more rapidly.
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What is the net force net
on an airplane window of area 1800 cm2
if the pressure inside the cabin is 0.95 atm
and the pressure outside is 0.76 atm
?
The net force on the airplane window of area 1800 cm² is 3469.47 Pa.m² .
Given:
Pressure inside the cabin: 0.95 atm
Pressure outside the cabin: 0.76 atm
Area of the airplane window: 1800 cm²
Now to find the net force on the airplane window, we can calculate the pressure difference between the inside and outside of the cabin and to calculate the pressure difference, we subtract the outside pressure from the inside pressure.
Pressure Difference = Pressure inside - Pressure outside
Pressure Difference = 0.95 atm - 0.76 atm
Pressure Difference = 0.19 atm
The area of the airplane window is given as 1800 cm². To simplify calculations in SI unit we convert the area to square meters:
Area in m² = (Area in cm²) / 10,000
Area in m² = 1800 cm² / 10,000
Area in m² = 0.18 m²
As we know,
Net Force = Pressure Difference * Area
Net Force = 0.19 atm * 0.18 m²
Net Force = 0.0342 atm·m²
To convert the net force to pascals (Pa), we use 1 atm = 101325 Pa. Multiplying the net force by 101325 Pa, we get
Net Force = 3469.47 Pa·m²
Therefore, the net force on the airplane window is approximately 3469.47 pascals times square meters (Pa.m²).
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An object is placed 3.0 cm away from a convex lens of focal length 2.0 cm as shown in fig.
1. Use the lens equation to calculate the image distance.
2. Is the image real or virtual? how do you know ?
(1) The distance of the image formed by the lens is determined as 6 cm.
(2) The image formed is real.
What is the image distance?The distance of the image formed by the lens is calculated by applying the following formula as follows;
1/f = 1/v + 1/u
where;
v is the image distanceu is the object distancef is the focal length of the lensThe distance of the image formed by the lens is calculated as;
1/v = 1/f - 1/u
1/v = 1/2 - 1/3
1/v = 1/6
v = 6 cm
Since the sign of the image of the image is positive, the image formed is real.
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what changes when unbalanced forces are applied to a moving bike along the direction its moving?
A. inertia
B.friction
C. mass
D.velocity
Answer:
D.velocity
Explanation:
When unbalanced forces are applied to a moving bike along the direction its moving, the velocity of the bike changes.
Unbalanced forces causes a body to accelerate. Acceleration is the rate of change of velocity with time.
When unbalanced forces acts on a body, the velocity changes.
An unbalanced force is a force whose resultant is not zero. Such a force causes a body to change motion and then acceleration. For a body to accelerate, the velocity must change per unit of time.The Equipartition Theorem follows from the fundamental postulate of statistical mechanics--that every energetically accessible quantum state of a system has equal probability of being populated, which in turn leads to the Boltzmann distribution for a system in thermal equilibrium.
a. True
b. False
Answer:
Hello! Your answer would be, A) True
Explanation:
Hope I helped! Ask me anything if you have any questions. Brainiest plz!♥ Hope you make a 100%. Have a nice morning! -Amelia♥
An ancient building was known to have been built 3,000 years ago. Approximately what proportion of Carbon-14 atoms are yet in the building's wooden framing compared to the number which were present at the time of its construction? (half life of 14C = 5,730 years)
83.2% of the original 14Carbon atoms present in the wooden framing of the ancient building at the time of its construction are still present today.
The half-life of Carbon-14 (14C) is 5,730 years, which means that after this time, half of the 14C atoms in a sample will have decayed. Using this information, we can estimate the proportion of remaining 14C atoms in the wooden framing of an ancient building that was constructed 3,000 years ago.
Since 3,000 years have passed, we can calculate the number of half-lives that have occurred by dividing the time elapsed (3,000 years) by the half-life of 14C (5,730 years). In this case, approximately 0.524 half-lives have occurred (3,000 / 5,730 ≈ 0.524).
With each half-life, the number of 14C atoms is halved. Therefore, after 0.524 half-lives, the proportion of remaining 14C atoms in the wooden framing can be estimated to be approximately \(0.5^{0.524}\), which is about 0.832 or 83.2%. The rest have decayed over time. It is worth noting that this estimation assumes a constant rate of decay and no additional 14C uptake or loss since the construction of the building.
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A freight train has a mass of [02] kg. The wheels of the locomotive push back on the tracks with a constant net force of 7.50 × 105 N, so the tracks push forward on the locomotive with a force of the same magnitude. Ignore aerodynamics and friction on the other wheels of the train. How long, in seconds, would it take to increase the speed of the train from rest to 80.0 km/h?
Answer:
t = 300.3 seconds
Explanation:
Given that,
The mass of a freight train, \(m=1.01\times 10^7\ kg\)
Force applied on the tracks, \(F=7.5\times 10^5\ N\)
Initial speed, u = 0
Final speed, v = 80 km/h = 22.3 m/s
We need to find the time taken by it to increase the speed of the train from rest.
The force acting on it is given by :
F = ma
or
\(F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{1.01\times 10^7\times (22.3-0)}{7.5\times 10^5}\\\\t=300.3\ s\)
So, the required time is 300.3 seconds.
A person holds onto an object for 2 minutes but doesn't move the object. Is work done
on the object?
Answer:
No
Explanation:
proof that the kinetic energy of a moving body is half mv square
Answer:
1
Explanation:
A framed picture hangs from two cords attached to the ceiling. Which shows the correct free body diagram of the hanging picture?
Answer: the answer is in the picture
Explanation:
Answer:
C
Explanation:
i did the test and got 100 :)
Impulse is equal to ... (pick TWO answers)
A. the change in momentum of an object.
B. the change in mass of an object.
C.the change in volume of an object.
D. a force applied to an object for a period of time.
E. the original momentum of the object.
Answer:
A
Explanation:
Momentum change is basically impulse
Object possessing more velocity after bouncing OR the object which bounces more have more impulse
The French motto of equality supports sociology by reminding people that
they:
A. are free to study what causes problems.
B. are all brothers regardless of where they were born.
C. should follow the rules of the government.
D. need to find comfort in their religious beliefs.
Answer:
are free to study what causes problems
When does a scatter plot show a correlation?
Answer:
Mark brainliest please
Explanation:
If the data points make a straight line going from the origin out to high x- and y-values, then the variables are said to have a positive correlation .When there is no clear relationship between the two variables, we say there is no correlation between the two variables.
What force acts on a projectile in the horizontal direction?
The force that acts on a projectile in the horizontal direction is Gravitational force.
A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.
Due to the absence of horizontal forces, a projectile remains in motion with a constant horizontal velocity. Horizontal forces are not required to keep a projectile moving horizontally. Hence, The only force acting upon a projectile is gravity.
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Which statement is true about the theory of plate tectonics and the theory of continental drift?
A) The theory of plate tectonics proves the theory of continental drift completely wrong.
B) The theory of plate tectonics tells exactly where the continents were before Pangaea divided.
C) The theory of plate tectonics gives the method by which continents can move as part of plates.
D) The theory of plate tectonics does not explain how continental movements could occur.
The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .
What is theory of plate tectonics and the theory of continental drift ?According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.
The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.
According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.
Therefore, option C is correct.
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1. Objective observations do not include
2. Observations can capture a child's
3. It's important to use observations because they provide
growth.
or
happen
4. Understanding a child's
and
5. After writing an observation, you can use the
milestones a child has accomplished
6. To make sure an observation is objective you can ask yourself, "Did I capture
happened?"
7. One of the ways you can capture your observations is through
8
and
that define child
helps you accurately interpret an observation.
of child development to understand what
what
or
are ways to count specific skills or behaviors and determine when they
9
and
are ways to organize observation data.
10. The federal law which ensures that all children and family education information is confidential
is called
Objective observations do not include bias or opinions.
Observations can capture a child's strengths and weaknesses
What is an Objective Observation?This refers to the types of observation that is done through the senses through what we see, touch, feel, hear, smell, and taste.
Hence, we can see that objective observation is important because they provide insight into the strengths and needs of a child.
One of the ways you can capture your observations is through note-taking.
The federal law which ensures that all children and family education information is confidential is called The Family Educational Rights and Privacy Act (FERPA)
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The power P radiated by a loudspeaker at a rock concert is 50 W at a frequency of 1000 Hz.
a) Assuming that the speaker sends the sound waves uniformly in all direction, what is the
intensity I at a distance of 20 meters from the speaker.
b) At what distance will the sound intensity be at the threshold of pain of 1.00 W/m2?
The intensity of waves is 9.96 × 10⁻³W/m².
Power radiated, P = 50 W
Frequency of the sound, f = 1000 Hz
a) Distance, r = 20 m
The intensity of waves,
I = P/4πr²
I = 50/(4π × 20²)
I = 9.96 × 10⁻³W/m²
b) We know that, the intensity of waves,
I ∝ 1/r²
So, I/I' = (r'/r)²
Therefore,
r' = r(√I/I')
r' = 20(√9.96 × 10⁻³/1)
r' = 0.19 m
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Using your knowledge on personal care products, how does sunscreen
lotion protect your skin from the damaging effect of ultraviolet rays?
Explain why of x-rays and gamma rays are commonly used in
radiotherapy.
Answer:
Ultraviolet rays from sun are very harmful from skin and can cause sunburn and skin diseases especially ultraviolet B rays. A sunscreen lotion act as a protection barrier on the skin that restrict the direct contact of UV rays with skin and filter the harmful rays to enter the skin.
Radiotherapy is a medical therapy use to treat cancer. Radiotherapy commonly uses x-rays and gamma rays because they are high-energy particles or waves that kills or destroys the cancer cells.
Sunscreen lotion is able to filter this damaging ultraviolet radiation and prevent it from damaging the skin.
The sun reaches us from outer space brings ultraviolet rays to us. Ultraviolet rays are known to have some damaging effects on the skin. One way to protect our skin from this damaging ultraviolet rays is to use sunscreen lotion which is able to filter this damaging ultraviolet radiation and prevent it from damaging the skin.
X-rays and gamma rays are used in radiotherapy because they are light energy rays which are able to penetrate and destroy malignant cells in the body.
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A student's backpack has a mass of 9.6 kg. The student applies a force of 94.08 N [up] while walking through 1.4 km [E] to get to school. Calculate the work done by the student on the backpack
The student does zero work on the backpack because the upward force applied by the student is acting perpendicular to the backpack's displacement parallel to the ground.
How does the magnitude of the electrical charge on objects affect the
electric force between them? *
As the charge increases, the force decreases in strength
As the charge increases, the force becomes more negative
As the charge increases, the force increases in strength
Answer:
As the charge increases, the force decreases in strength
Explanation:
Experiments with electric charges have shown that if two objects each have electric charge, then they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them...
Answer: The correct answer is: As the charge increases, the force increases in strength
Explanation:
Its kind of the obvious answer and other people don't know how to answer correctly. This was years ago but if anyone needs the answer today then here it is....
Each circled letter in
the circuit diagram represents a meter that is used to
measure a quantity in the circuit. Which meters show the amount of charge
passing a point each second?
A. A and C
B. A and B
C. B and D
D. C and D
The meters in the circuit that shows the amount of charge passing a point each second are A and C ( A )
In the circuit, the meter A and C are connected in series to a resistor and the meters B and D are connected parallel to a resistor. Ammeters should be connected in series and voltmeters should be connected in parallel because the resistance in ammeter is zero and the resistance in a voltmeter is infinite.
Ammeter is used to measure the current flowing through a circuit. It can also be said as amount of charge passing through the circuit. Voltmeter is used to measure the voltage across two points in a circuit.
Therefore, the meters in the circuit that shows the amount of charge passing a point each second are A and C ( A )
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An airbys A380 airliner lands at 30 m/s. Partially loaded, its mass is 480000 kg. The engines apply reverse thrust for 12s to slow the plane to 25 m/s.How much thrust did the engines apply?
To determine the thrust applied by the engines, we can use Newton's second law of motion, which states that force (thrust) is equal to mass times acceleration. In this case, we need to calculate the force required to decelerate the plane from 30 m/s to 25 m/s in 12 seconds.
First, we calculate the change in velocity (∆v):
\(\displaystyle\sf \Delta v=25\,m/s-30\,m/s=-5\,m/s\)
Next, we calculate the acceleration (∆a) using the formula:
\(\displaystyle\sf \Delta a=\frac{\Delta v}{\Delta t}\)
where ∆t is the change in time, which is 12 seconds in this case.
\(\displaystyle\sf \Delta a=\frac{-5\,m/s}{12\,s}\)
Now, we can determine the force (thrust) applied by the engines using Newton's second law:
\(\displaystyle\sf F=m\cdot a\)
where m is the mass of the airplane, which is 480000 kg.
\(\displaystyle\sf F=480000\,kg\cdot \left(\frac{-5\,m/s}{12\,s}\right)\)
Calculating the result:
\(\displaystyle\sf F=-200000\,N\)
Therefore, the engines applied a thrust of -200000 Newtons (N) to decelerate the plane. The negative sign indicates that the thrust is in the opposite direction of the motion.