Suppose you measure the terminal voltage of a 3.280 V lithium cell having an internal resistance of 4.70 Ω by placing a 1.00 kΩ voltmeter across its terminals. (a) What current flows (in amps)? __________ A (b) Find the terminal voltage. _____________ V (c) To see how close the measured terminal voltage is to the emf, calculate their difference. __________ V
Answers
the current flows through the circuit is 0.697 A.
the terminal voltage is 6.55 V.
the difference between the measured terminal voltage and the emf is 3.25 V
The voltage of a 3.280 V lithium cell having an internal resistance of 4.70 Ω measured by placing a 1.00 kΩ voltmeter across its terminals. We have to find the current, terminal voltage, and the difference between the measured terminal voltage and the emf.
(a) The current flows can be calculated using Ohm's law which states that
V=IR
Where;
V = voltage = 3.280V
R = internal resistance = 4.70 Ω
I = current
Rearranging the above equation, we get
I = V / R
I = 3.280V / 4.70 Ω
I = 0.697 A
Therefore, the current flows through the circuit is 0.697 A.
(b) Now, we have to find the terminal voltage;
The voltage drop across the internal resistance of the lithium cell is;V
IR = IRV
IR = (0.697 A)(4.70 Ω)V
IR = 3.27 V
The total voltage across the terminals can be found by adding the voltage drop across the internal resistance to the voltage measured by the voltmeter.
V = Vmeasured + VIR
V = 3.280 V + 3.27 V
V = 6.55 V
Therefore, the terminal voltage is 6.55 V.
(c) The difference between the measured terminal voltage and the emf can be calculated as follows;
V - Vemf=IR
Where;
V = terminal voltage = 6.55 V
Vemf = voltage of the cell = 3.280
V= internal resistance = 4.70 Ω
I = current
Rearranging the above equation, we get;
Vemf = V - IR
Vemf = 6.55 V - (0.697 A)(4.70 Ω)
Vemf = 3.25 V
Therefore, the difference between the measured terminal voltage and the emf is 3.25 V.
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Related Questions
If Anthony was running for 300 s after starting at rest, what was his final velocity if he
had an acceleration of 0.05 m/s2?
.25 m/s
.01 m/s
100 m/s
15 m/s
Answers
Answer:
final velocity, v, is 15 m/s
Explanation:
a = a
v = a*t + v_o
x = 0.5*a*t^2 + v_o*t + x_o
t = 300 s
a = 0.05 m/s2
v_o = 0 m/s
x_o = 0 m
v = (0.05 m/s2)*(300 s) + 0 m/s
v = 15 m/s
a plane is flying horizontally with speed 279 m/s at a height 1390 m above the ground, when a package is dropped from the plane. the acceleration of gravity is 9.8 m/s 2 . neglecting air resistance, when the package hits the ground, the plane will be
Answers
When the package hits the ground, the plane will be 4,687.2 m away.
What is the time of motion of the package?
The time taken for the package to fall from the given height is known as the time of motion of the package and the magnitude is calculated by applying the following kinematic equation.
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the package = 0g is acceleration due to gravityt is the time of motion of the packageh = 0 + ¹/₂gt²
t = √(2h/g)
t = √ [ (2 x 1390) / ( 9.8) ]
t = 16.8 seconds
The horizontal displacement of the plane at this time;
X = ut
where;
u is the horizontal speed of the planet is the time of motion of the packageX = 279 x 16.8
X = 4,687.2 m
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A ball is dropped from a height of 20 meters. At what helght does the ball have a velocity of 10 meters/second?
Answers
Answer:
5.10 meters.
Explanation:
v²=u²+2gh
or, (10)²=(0)²+2×9.8×h
or, 19.6h=100
or, h=5.10 meters
Hope, this helps you.
How can diseases impact the circulatory system? How do the levels of organization in the circulatory system work together to prevent disruption from occurring?
Answers
There are numerous connections among illnesses of the circulatory system. For instance, excessive blood pressure harms the blood vessels and may cause additional circulation issues.
Prevention of circulatory diseases
High cholesterol causes the blood arteries to narrow, which raises a person's risk of developing a blood clot.
Obesity and being overweight raise the risk of getting cardiovascular disorders. A healthy diet and exercise, though, can lower the risk.
By lowering the risk of high blood pressure, high cholesterol, and being overweight — all of which are risk factors for circulatory disorders — regular exercise helps to keep the heart healthy.
It is more common for someone to get a circulatory disease if they have family members who have the condition. A healthy lifestyle, however, can lower this risk.
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what is the magnetic flux through the loop shown in the figure?
Answers
The magnetic flux through the loop is approximately 0.000314159 Tesla·m².
To calculate the magnetic flux through a circular loop placed in a uniform magnetic field, we can use the formula:
Φ = B * A * cos(θ)
In this case, the magnitude of the magnetic field is given as 0.2 Tesla. The area of the circular loop can be calculated using the formula \(A = \pi * r^2\), where r is the radius of the loop.
Given that the radius of the loop is 5 centimeters (0.05 meters), we can calculate the area as follows:
A = \(\pi * (0.05)^2\)
Now, we can substitute the given values into the magnetic flux formula:
Φ =\((0.2) * [pi * (0.05)^2] * cos(\theta)\)
Hence, the magnetic flux simplifies to:
Φ = \((0.2) * [\pi * (0.05)^2] * cos(0)\)
Φ = \((0.2) * [\pi * (0.05)^2]\)
Now, we can calculate the magnetic flux through the loop:
Φ =\(0.2 * 3.14159 * 0.05^2\)
Φ ≈ 0.000314159 Tesla·m²
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--The complete Question is, Calculate the magnetic flux through a circular loop placed in a uniform magnetic field, where magnitude of the magnetic field is given as 0.2 Tesla. --
Which of these statements describes a constraint imposed on scientific
researchers by the Antarctic Treaty System?
A. The safety of scientists is ensured.
B. Facilities are inspected for compliance.
c. Some areas are protected from human activity.
D. Scientific knowledge is not shared.
Answers
Answer:
The answer is C.
Chem Help Please! I am trying to figure out how to do the
following please
Count the number of valence electrons,
Draw Lewis structure,
Determine central atom,
Determine electron geometry by looking a
Answers
To count the number of valence electrons, you need to determine the group number of the element in the periodic table and sum up the valence electrons for all atoms in the molecule or ion.
The Lewis structure is a representation of the molecule or ion, showing the arrangement of atoms and valence electrons. The central atom is usually the least electronegative element or the one with the highest valence. To determine the electron geometry, you consider the arrangement of electron groups (bonded and lone pairs) around the central atom using the VSEPR theory.
Counting the number of valence electrons: Look at the periodic table and find the group number of each element in the molecule or ion. The group number represents the number of valence electrons. For example, carbon (Group 14) has 4 valence electrons, oxygen (Group 16) has 6 valence electrons, etc. Sum up the valence electrons for all atoms to get the total number of valence electrons.
Drawing the Lewis structure: The Lewis structure is a visual representation of a molecule or ion that shows the arrangement of atoms and valence electrons. Start by connecting the atoms with single bonds. Distribute the remaining valence electrons as lone pairs around the atoms, following the octet rule (except for hydrogen, which only needs 2 electrons). Aim to minimize formal charges and achieve stability.
Determining the central atom: The central atom is usually the least electronegative element or the one with the highest valence. Carbon is often a central atom, but other elements like nitrogen or oxygen can also be central depending on the molecule or ion.
Determining the electron geometry: To determine the electron geometry, use the Valence Shell Electron Pair Repulsion (VSEPR) theory. Count the total number of electron groups around the central atom. Electron groups can be bonded pairs (atoms connected by single, double, or triple bonds) or lone pairs.
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Race Car A accelerates on a straight track from 0 to 100 kilometers/second in 6 seconds. Race Car B accelerates on a straight track from 0 to 100 kilometers/second in 5 seconds. Compare the velocities and accelerations of the cars during the race.
(Hints: Talk about starting and ending velocity of each car. Talk about the acceleration of each car.)
Answers
From the calculation, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude
VELOCITY AND ACCELERATION
The rate of change of displacement is called Velocity. While acceleration is the rate of change of velocity.
Given that a race Car A accelerates on a straight track from 0 to 100 kilometers/second in 6 seconds.
Since acceleration = \(\frac{Change in velocity}{time taken} \)
a = 1000(100 - 0)/6
a = 100000/6
a = 16666.67 m/\(s^{2} \)
And race Car B accelerates on a straight track from 0 to 100 kilometers/second in 5 seconds.
acceleration = \(\frac{Change in velocity}{time taken} \)
a = 1000(100 - 0)/5
a = 100000/5
a = 20000 m/\(s^{2} \)
From the calculation above, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude.
Race car A accelerates at 16666.67 m/\(s^{2} \), while race car B accelerates at 20000 m/\(s^{2} \)
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Patients A b c and d all have similar symptoms and situational stressors the major difference is that patients a’s a cuz v rating scale is 77 patients b is 92 which of the patients would be given a more server diagnosis
Answers
Patient C would be given a more severe diagnosis.
Option C is correct.
What is diagnosis?
Diagnosis is considered as the process of determining which disease or condition explains a person's symptoms and signs.
Axis V rating scale is also called the Global Assessment of Functioning; the GAF went from 0 to 100 and provides a way to summarize in a single number just how adaptively a person was functioning overall.
So in the scenario above, Patient C was given a more severe diagnosis since the value is lower. In the Axis V rating scale, the lower the number, the greater the danger.
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Complete question:
Patients A, B, C, and D all have similar symptoms and situational stressors. The major difference is that patient A's Axis V rating scale is 77, patient B's is 92, patient C's is 15, and patient D's rating scale is 32.
Which of the patients would be given a more severe diagnosis?
A.
Patient A
B.
Patient B
C.
Patient C
D.
Patient D
Three 3.0 ohm resistors are connected in parallel .What is the equivalent resistance?
Answers
Answer:
3/2 Ω
Explanation:
ONE WAY :
1/ (1/3 + 1/3) = 1/(2/3) = 3/2 Ω
When you have two resistors in parallel , here is another way
3*3 /(3+3) = 9/6 = 3/2 Ω
( you can use this method ONLY when you have two parallel resitances !)
Wave A is being decreased in temperature, and Wave B is moving from a liquid to a gas medium.
Which statement can be made about both waves?
They will speed up.
They will increase the density of their medium.
They will slow down.
They will decrease the density of their medium.
Answers
Answer:b
Explanation:
Answer:
B
Explanation:
edg
17) Name two ways you could decrease the potential energy of a bucket full of water sitting on a bench.
Answers
Explanation:
The potential energy of an object has the following formula
Potential energy = mgh
where m = mass of the object
g = acceleration due to gravity
h = height of the object
This means that the potential energy of an object depends upon its mass, acceleration due to gravity, and height.
In the given situation we have a bucket full of water. If the mass and acceleration due to gravity are not changed, the only way the potential energy can be decreased is by reducing the height of the bucket full of water.
This can be done by: -
(i) Lifting the bucket full of water in such a way that you
decrease its height as compared to the bench.
(ii) Put the bucket full of water on a stool whose height is
lower than the bench.
Answer:
1.By decreasing it's contents- this decreases the weight of the bucket thus decreasing the potential energy of the bucket.
2.By decreasing the height of the bench we have decreased the amount of potential energy stored in the bucket
Ricardo came up with three different designs for paper airplanes. He would like to find out which design flies the farthest. Ricardo plans to fly each paper airplane five times. What step should ricardo take after he flies each plane?.
Answers
Ricardo came up with the three different paper airplane designs. Ricardo plans to fly each paper airplane five times to see which design flies the furthest. Ricardo should calculate the aircraft's flight distance after each flight and record it.
How can one determine a distance?Two of the most popular methods in agricultural surveying involve taking measurements of angles and distances with simple equipment. even when the equipment is simple. A high level of precision can be reached with perseverance and practice.
The primary method for measuring distance is (1) pace. The mileage counter. (3) taping or chaining four phases and (6) methods for electronic distance measurement, optical range finders (EDM).
It will be helpful to first examine the common units of distance (displacement). Common English units are as follows:
A foot is made up of 12 inches (in)
Yd (yard) equals 3 ft (ft)
The length of one rod is 16.5 feet and 5.5 yards (yd)
5280 feet, 1760 yards, and 320 rods make up a mile.
The units cancellation method is very helpful when converting between different units of measurement.
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The amount of movement that each joint in perform is called
Answers
Range of motion
Connected to a battery that offers a d.d.p. of 3.0Volts, we have the four lamps, all identical with resistances equal to 2.0 Ohms. The association appears in the figure. Note that the switch is open, so it doesn't pass current in the circuit (it's like an off switch). When the key closes, the lamps come on. Determining the Req of the association and the total current flowing through the circuit, we will find:
Answers
Answer:
Option D. 5Ω e 0.6 A
Explanation:
1. Determination of the equivalent resistance.
We'll begin by calculating the equivalent resistance of resistor B and resistor C. This can be obtained as follow:
Resistor B (R₆) = 2 Ω
Resistor C (R꜀) = 2 Ω
Equivalent Resistance (R₆꜀) =?
R₆꜀ = R₆ × R꜀ / R₆ + R꜀ (parallel connection)
R₆꜀ = 2 × 2 / 2 + 2
R₆꜀ = 4 / 4
R₆꜀ = 1 Ω
Finally, we shall determine the equivalent resistance of the circuit. This can be obtained as follow:
Resistor A (Rₐ) = 2 Ω
Equivalent resistance of resistor B and C (R₆꜀) = 1 Ω
Resistor D (Rₔ) = 2 Ω
Equivalent Resistance (R) =?
R = Rₐ + R₆꜀ + Rₔ (series connection)
R = 2 + 1 + 2
R = 5 Ω
Thus, the equivalent resistance of the circuit is 5 Ω
2. Determination of the total current in the circuit.
Potential difference (V) = 3 V
Equivalent resistance (R) = 5 Ω
Total current (I) =?
V = IR
3 = I × 5
Divide both side by 5
I = 3 / 5
I = 0.6 A
Thus, the total current in the circuit is 0.6 A
Summary:
Equivalent resistance = 5 Ω
Current = 0.6 A
Option D gives the current answer to the question.
Which element most likely interacts with water the same way lithium interacts with water?
Answers
Answer:
Is there a multiple choice or select all that apply? I would say Potassium (K) or Sodium (Na)
Explanation:
The density of pine is generally about 0.5 g/cm3. What is the mass of a 800 cm3 piece of pine
Answers
Answer:
400grams
Explanation:
Mass is density × volume
0.5×800= 400 grams
Mass is density × volume
0.5×800= 400 grams.
What does density mean?
Density is the number of things—which could be people, animals, plants, or objects—in a certain area. To calculate density, you divide the number of objects by the measurement of the area. The population density of a country is the number of people in that country divided by the area in square kilometers or miles.
How do we calculate density?
density, the mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume.
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Which statement best describes scientific theories? (2 points) Group of answer choices Scientific theories are based on facts that describe natural events. Scientific theories describe natural events but do not explain them. Scientific theories are facts based on observations of events in the natural world. Scientific theories attempt to explain how events occur in the natural world.
Answers
Answer:
Scientific theories attempt to explain how events occur in the natural world.
Answer:
The answer is option A. Scientific theories attempt to explain an entire group of related phenomena.
Explanation:
I got it right on the test
Hope it helps!
Se suelta un cuerpo desde la azotea de un edificio de 180m de alto. Luego de 3s se lanza verticalmente hacia abajo otro cuerpo. Si ambos llegan simultáneamente al piso, calcular la rapidez con la que fue lanzado el segundo cuerpo (g=10m/s2).
Answers
Answer:CcCcccccc
Explanation:
Rfsgqh
the value of h0 is about 22 (km/s)/mly. suppose it were twice as big. compared to our current estimates, what would the age of the universe be?
Answers
if the value of h0 were twice as big, then it would be 44 (km/s)/mly.
h0 is the Hubble constant, which represents the rate at which the universe is expanding. A larger h0 value means that the universe is expanding at a faster rate.
To calculate the age of the universe based on this new value of h0, we can use the formula: Age of universe = 1 / h0.
If we plug in the new h0 value of 44 (km/s)/mly, we get an age of the universe of approximately 22.7 billion years.
For the conclusion, if the value of h0 were twice as big as our current estimate, the age of the universe would be slightly older than our current estimate of 13.8 billion years. This highlights the importance of accurately determining the Hubble constant to better understand the origins and evolution of the universe.
we could delve deeper into the various methods used to estimate the age of the universe, the current discrepancies in those estimates, and how a change in the Hubble constant value could impact those estimates.
Main Answer: If the value of H0 were twice as big, the estimated age of the universe would be roughly half of the current estimate.
The Hubble constant (H0) is used to estimate the age of the universe. The formula for calculating the age of the universe is:
Age = 1 / H0
Currently, H0 is about 22 (km/s)/Mpc (note that it should be Mpc, not mly, which stands for megaparsecs). If H0 were twice as big, the new value would be 44 (km/s)/Mpc. Now, we can use the formula to calculate the new age estimate:
New Age = 1 / 44 (km/s)/Mpc
With an H0 value of 44 (km/s)/Mpc, the estimated age of the universe would be approximately half of the current estimate, as the relationship between the Hubble constant and the age of the universe is inversely proportional.
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An un-stretched spring that is initially 20 centimeters long has a spring constant of 3.5 x 103 newtons per meter. What is the total length of the spring in centimeters when it is stretched to the point where 2.8 joules are stored in it?
Answers
Answer:
30
Explanation:
30
the total length of the spring in centimeters when it is stretched to the point where 2.8 joules are stored in it is 30.
What are the unit of length ?length can be defined as the measurement which is an act for the identification of the object's length in some standard or non-standard units.
The most common units of length are U.S. customary units and the metric units include SI and non-SI units, others are British Imperial units are also still used in some countries.
Other units of length include kilometres, nanometre, millimetres, centimetres, metres, decimetres where as the Imperial and U.S. customary systems, basic unit of length is the yard.
other units are thou (1⁄1000 of an inch), line (1⁄12 of an inch), inch (25.4 mm), foot (12 inches, 0.3048 m)
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The length of lightning channels is typically 5 to 10 km and can reach
a. 15 km
b. 100 km
c. 1000 km
d. 2000 km
Answers
The length of lightning channels is typically 5 to 10 km and can reach a maximum of 15 km. Lightning is an electric discharge that occurs between a charged cloud and the ground, or between two clouds that are differently charged.
Lightning bolts can be up to 5 miles (8 km) long. The duration of the stroke of lightning is typically a few tenths of a second, but it is capable of transferring enough energy to the ground to power an average-sized home for a month. A lightning bolt's width is determined by the energy it carries and the distance it has traveled.
A lightning bolt can extend for miles and can reach speeds of up to 220,000,000 miles per hour (350,000,000 kilometers per hour). Lightning bolts produce heat, and a bolt of lightning can heat the air around it to 30,000 kelvins (53,540 degrees Fahrenheit or 30,000 degrees Celsius), which is five times hotter than the surface of the sun.
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What are the 3 main approaches to the identification of unknown bacteria?
Answers
The three main approaches to the identification of unknown bacteria are as follows:Phenotypic identification, Molecular identification and Biochemical identification
What is Phenotypic, Molecular and Biochemical identification?1. Phenotypic identification
Phenotypic identification involves the physical and chemical characteristics of the bacterial colonies and cells. In this method, bacterial cells are studied through microscopy, their ability to grow on various types of media, cellular morphology, and other factors that are easy to observe.
2. Biochemical identification
Biochemical identification is based on the biochemical reactions of bacteria. This method involves the use of different chemical and biochemical tests to identify the bacteria. The tests are designed to identify specific enzymes or metabolic pathways. The results of the tests are then used to identify the bacteria.
3. Molecular identification
Molecular identification involves the use of DNA analysis to identify bacteria. In this method, the DNA of the bacterial cells is isolated and analyzed. This method has become popular in recent years due to its accuracy and speed.
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Calculate the power required of a 1400kg car under the following circumstances a) The car climbs a 10° hill at a steady 80km/h and b) The car accelerates from 90 to 110km/h in 6.0s to pass another car on a level road. Assume the force of friction on the car is 700N in both parts of the problem.
Answers
(a) The power required for the car to climb the hill at steady speed is 15,555.56 W.
(b) The power required for the car to climb the hill at a changing speed is 19,444.44 W.
What is the power required?
The power required for the car the move the incline is calculated as follows;
When the speed is steady, the average speed is calculated as;
v = ( 80km/h + 80 km/h) / 2 = 80 km/h = 22.22 m/s
P = Fv
where;
F is the applied forcev is average speedP = ( 700 N x 22.22 m/s )
P = 15,555.56 W
When the speed changes from 90 km/h to 110 km/h, the average speed is calculated as;
v = ( 90 km/h + 110 km/h ) / 2 = 100 km/h = 27.78 m/s
P = ( 700 N x 27,78 m/s )
P = 19,444.44 W
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Two point charges are placed at the following points on the x-axis. +2.0 C at
×=0, -3.0.C at 0.40m. Find the electric field strength at 1.20m?
Answers
The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.
To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:
\($$F=k\frac{q_1q_2}{r^2}$$\)
where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:
\($$E=\frac{kq}{r^2}$$\) where k is the Coulomb constant.
So, let's calculate the electric field due to each charge separately and then add them up:
For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)
For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:
\($$E_2=\frac{kq_2}{r^2}\)
\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)
The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.
To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)
Substituting the values of E1 and E2:
\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)
net comes out to be -1.5×10⁴ N/C.
Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.
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A steel ball whose mass is 100 g is rolling at a rate of 2.8 m/sec. What is it’s momentum?
Answers
Answer:
The momentum of the steel ball is 0.28 kg m/sec.
Explanation:
The momentum of an object can be calculated using the formula: momentum = mass x velocity. In this case, the mass of the steel ball is 100 g, which is equivalent to 0.1 kg. The velocity of the ball is 2.8 m/sec. Plugging in the values into the formula, we get:
momentum = 0.1 kg x 2.8 m/sec
momentum = 0.28 kg m/sec
So the momentum of the steel ball is 0.28 kg m/sec.
Someone please help will mark as brainliest
Answers
Answer: What Northcliffe means is that news a=is all advertising and not caring about what they are actually saying is true or false so it can and will offend others so they want to suppress (end) the article.
Explanation:
a car travel the first 20km with a speed of 40km/h and the next 40km with a speed of 80km/h . find the average speed
Answers
Answer:
average speed is 60km/h
Explanation:
you sum up the speed attained in each distance covered and divide it by 2 to get your answer
force of 7 N acts on an object.
The displacement is, say 8 m, in
the direction of the force
(Fig. 11.3). Let us take it that the
force acts on the object through
the displacement. What is the
work done in this case?
Answers
Explanation:
Given
Force (F) = 7 N
Displacement (d) = 8 m
work done (W) = ?
We know that
W = F * d
= 7 * 8
= 56 J
The work done in this case is 56 Joule.
a conductor consists of a circular loop of radius r and two long, straight sections. the wire lies in the plane of the paper and carries a current i. a) what is the direction of the magnetic field at the center of the loop? b) find an expression for the magnitude of the magnetic field at the center of the loop. 4. a long, straight wire carries a current i. a right-angle bend is made in the middle of the wire. the bend forms an arc of a circle of radius r. determine the magnetic field at point p, the center of the arc. 5. two parallel wires are separated by 6.00 cm, each carrying 3.00 a of current in the same direction. a) what is the magnitude of the force per unit length between the wires? b) is the force attractive or repulsive? 6. two parallel wires separated by 4.00 cm repel each other with a force per unit length of 2.00x104 n/m. the current in one wire is 5.00 a. a) find the current in the other wire. b) are the currents in the same direction or in opposite directions? c) what would happen if the direction of one current were reversed and doubled?
Answers
1. The direction of the magnetic field at the center of the loop is perpendicular to the plane of the loop and follows the right-hand rule.
The right-hand rule states that if you curl the fingers of your right hand in the direction of the current flow in a loop, your thumb will point in the direction of the magnetic field at the center of the loop. The magnetic field lines are circular and perpendicular to the plane of the loop.
2. The expression for the magnitude of the magnetic field at the center of the arc can be calculated using the formula for the magnetic field due to a circular loop of wire. The expression is given by: B = (μ₀ * I) / (2 * r), where B is the magnetic field, μ₀ is the permeability of free space, I is the current in the loop, and r is the radius of the arc.
The magnetic field at the center of the arc formed by the right-angle bend in the wire can be calculated using the formula for the magnetic field due to a circular loop of wire. The magnetic field strength is directly proportional to the current in the loop (I) and inversely proportional to the radius of the arc (r). The permeability of free space (μ₀) is a constant value. By plugging in the values of current and radius, the expression for the magnitude of the magnetic field at the center of the arc can be determined.
3. The force per unit length between two parallel wires carrying current can be calculated using the formula: F/L = (μ₀ * I₁ * I₂) / (2 * π * d), where F/L is the force per unit length, μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, and d is the distance between the wires.
The force per unit length between two parallel wires carrying current can be calculated using the formula above. The force is directly proportional to the product of the currents in the wires (I₁ and I₂) and inversely proportional to the distance between the wires (d). The permeability of free space (μ₀) is a constant value.
4. The force between two parallel wires depends on the direction of the currents. If the currents are in the same direction, the force is repulsive, and if the currents are in opposite directions, the force is attractive.
The direction of the currents in the two parallel wires determines the direction of the magnetic fields around the wires. When the currents flow in the same direction, the magnetic fields around the wires interact and result in a repulsive force between the wires. When the currents flow in opposite directions, the magnetic fields interact differently and result in an attractive force between the wires.
5. To find the current in the other wire when two parallel wires separated by a distance carry a force per unit length, the formula can be rearranged to solve for the current in the second wire, I₂ = (F/L) * (2 * π * d) / (μ₀ * I₁), where I₂ is the current in the second wire, F/L is the force per unit length, d is the distance between the wires, μ₀ is the permeability of free space, and I₁ is the current in the first wire.
By rearranging the formula for the force per unit length between two parallel wires, the current in the second wire (I₂) can be calculated. The force per unit length (F/L), the distance between the wires (d), and the current in the first wire (I₁) are known quantities, and the permeability of free space (μ₀) is a constant value.
6. If the direction of one current in the two parallel
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