The magnetic field at point P is zero.
When two wires are placed parallel to each other and carry currents in opposite directions, they generate a magnetic field. The direction of the magnetic field at point P depends on the direction of the currents in the wires. According to the right-hand rule, the magnetic field produced by a current-carrying wire points in the direction perpendicular to both the direction of the current and the direction from the wire to the point in question.
, the currents in the wires have the same magnitude but opposite directions. Therefore, the magnetic fields produced by each wire cancel each other out along the horizontal axis, but add up along the vertical axis. The resulting magnetic field points upward, perpendicular to the plane of the wires and in the direction of direction 1.
When two wires have currents with the same magnitude but opposite directions, their magnetic fields are also opposite in direction. At point P, which is equidistant from both wires, the magnetic fields produced by each wire cancel each other out due to their opposite directions. This results in a net magnetic field of zero at point P.
The magnetic field at point P is zero because the magnetic fields produced by the wires with currents in opposite directions cancel each other out.
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Matter is anything that has mass and takes up…
Hydrogen bonds are too weak to bind atoms together to form molecules, but they do hold different parts of a single large molecule in a specific three-dimensional shape. true false
Hydrogen bonds are too weak to bind atoms together to form molecules, but they do hold different parts of a single large molecule in a specific three-dimensional shape. The given statement is true.
What are hydrogen bonds?A hydrogen bond is an electrostatic force of attraction among a hydrogen atom tightly attached to a more electronegative "donor" atom or group and another electronegative atom bearing a lone pair of electrons, known as the hydrogen bond acceptor.
Hydrogen bonds are too flimsy to connect atoms to form molecules, but they do hold various portions of a single large molecule together in a specific three-dimensional shape.
Thus, the given statement is true.
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For transmissivity (T) = 2500 m2/day, storativity (S) = 1.0 x 10-3, and a pumping rate
(Q) = 500 m3/day, calculate drawdowns in a confined aquifer (isotropic, homogeneous, transient
condition) at observation wells located (i) 10 m and (ii) 50 m at t = 150
Answer:
The drawdown in a confined aquifer under transient conditions can be estimated using the Theis solution for the non-equilibrium radial flow of water. This solution is given by:
s = Q / (4πT) * W(u),
where s is the drawdown, Q is the pumping rate, T is the transmissivity, and W(u) is the well function (also called the Theis function) which depends on the variable u, where:
u = r²S / (4Tt),
where r is the distance from the pumping well and t is the time since pumping began.
Given T = 2500 m²/day, S = 1.0 x 10-3, and Q = 500 m³/day, we can calculate the drawdown at 10 m (r1 = 10 m) and 50 m (r2 = 50 m) for t = 150 days.
For (i) r1 = 10 m:
u1 = r1²S / (4Tt) = (10 m)² * 1.0 x 10-3 / (4 * 2500 m²/day * 150 days) = 0.000667
s1 = Q / (4πT) * W(u1) = 500 m³/day / (4π * 2500 m²/day) * W(0.000667).
For (ii) r2 = 50 m:
u2 = r2²S / (4Tt) = (50 m)² * 1.0 x 10-3 / (4 * 2500 m²/day * 150 days) = 0.01667
s2 = Q / (4πT) * W(u2) = 500 m³/day / (4π * 2500 m²/day) * W(0.01667).
Explanation:
Unfortunately, the well function W(u) cannot be evaluated directly without more specialized knowledge or tools. The well function is related to the exponential integral function, which requires numerical computation. You would typically use a table of values, a calculator with this function, or a computer program to evaluate it. After obtaining W(u), multiply it by the remaining fraction to find the drawdowns.
Identify the parts of a vector.
Please help. I'm unable to comprehend vector operations.
The magnitude, direction, components, origin, and terminal points are the key parts of a vector.
How do we calculate?A vector is known to have several components that define its properties and characteristics.
The magnitude or length of a vector represents its size or magnitude and is a scalar quantity that specifies the distance or amount of the vector.
The direction of a vector represents the orientation or angle at which the vector is pointing and indicates the line along which the vector is directed in most cases can be described using angles, unit vectors, or in relation to a coordinate system.
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at what frequency should a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v?
At 7.1 Hz a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v
What is magnetic field?An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.
Given,
number of turns is N = 200 turns
cross-sectional area is A = 300 cm² = 300 x 10⁻⁴ m²
the magnitude of magnetic field strength is B = 30 x 10⁻³ T
the maximum value of the induced emf is E = 8 V
Now,
Maximum induced emf is, E = NBAω
where,
ω is the angular velocity (ω = 2πf)
Now,
E = NBA2πf
where,
f is minimum frequency
So, f = E / (NBA2π)
f = 8 / (200 x 30 x 10⁻³ x 300 x 10⁻⁴ x 2 x 3.142)
f = 7.073 Hz
f = 7.1 Hz
∴ the minimum frequency of the coil is 7.1 Hz.
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Which car has the greater momentum?
A. m=18kg v=10m/s
B. m=28kg v=2m/s
C. m=18kg v=30 m/s
D. m=10kg v=10 m/s
The diagram below shows a 2.0-kilogram block being moved across a frictionless horizontal surface by a 6.0-newton horizontal force.
Answer: 6.0 m/s2
Explanation:
The acceleration of the block pushed horizontally with the force of 6 N is 3 m/s².
What is force?
In order to move a body of mass 'm' kg with an acceleration of 'a' m/s², a force of magnitude → |F| = ma is needed to push the body in a specified direction.
Given is a 2 kg block being moved across a frictionless horizontal surface by a 6 Newton horizontal force.
Mass of block [m] = 2 Kg
Force on block [F] = 6 N
From the definition of force -
|F| = ma
6 = 2 x a
6 = 2a
a = 3 m/s²
Therefore, the acceleration of the block pushed horizontally with the force of 6 N is 3 m/s².
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lesson 5 physical science: part 2
Which of the following accurately describes circuits?
A) In a series circuit, the current can flow through only one path from start to finish.
B) In a parallel circuit, there's only one path for the current to travel.
C) In a parallel circuit, the same amount of current flows through each part of the circuit.
D) In a series circuit, the amount of current passing through each part of the circuit may vary.
The accurately described circuit is option D. In a series circuit, the amount of current passing through each part of the circuit may vary.
In a series circuit, components are connected one after another in a single path, forming a loop. The same current flows through each component in a series circuit, meaning that the current is constant throughout the circuit. This is known as Kirchhoff's current law, which states that the total current entering a junction is equal to the total current leaving the junction.
However, the amount of current passing through each individual component may vary. This is because the components in a series circuit offer different amounts of resistance to the flow of current. According to Ohm's Law, the current in a circuit is determined by the voltage applied and the resistance of the circuit.
Components with higher resistance will restrict the flow of current more, causing a decrease in the amount of current passing through them. Therefore, in a series circuit, the current remains the same at any point in the circuit, but the amount of current passing through each component may vary depending on its resistance. Therefore, the correct answer is option D.
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1. If a ball is rolling horizontally on the floor with a velocity of 2.5 m/s, what are the x and y
components of the velocity?
Vx =
Vy =
Answer: Vx = 2.5m/s and Vy = 0m/s
Explanation: The ball is rolling horizontally on the floor, meaning there isn't a change in the vertical position, only horizontal. The ball is rolling with pure horizontal motion and isn't moving in the vertical direction.
a man walking at the rate of 5km/hr crosses a bridge in 15 min find the length of the bridge in meyers
Answer:
I hope this helps. Plzz mark as brainliest
Explanation:
A man walking at the rate of 5 km/hr. crosses a bridge in 15 minutes. The length of the bridge (in meters) is:
[A]1000 m
[B]1250 m
[C]600 m
[D]750 m
1250 m
Speed of the man = 5 km/hr

Time taken to cross the bridge = 15 minutes
Length of the bridge = Speed  Time

Hence option [B] is the right answer.
Some girls use a curling iron to fix their hair. It is very hot when plugged in for a while. If you want protect your skin, you would need to pick it up on the plastic end. Which property of the plastic is portant for it to be used on a curling iron? a. Soluble in water b. Insulates thermal energy C. Conducts electrical energy d. Emits magnetic energy
Answer:
B. Insulates thermal energy
Answer:
b
Explanation:
if you insulate thermal energy aka heat you are keep the heat in one place in this case the metal, which provent you from burning your self if you hold the plastic part.
sience : What causes the different seasons on Earth?
a nichrome wire 42 cm long and 0.28 mm in diameter is connected to a 2.1 v flashlight battery. why dont you have to know how the wire is bent
A Nichrome wire 42 cm long and 0.28 mm in diameter is connected to a 2.1 V flashlight battery. You don't have to know how the wire is bent because it doesn't affect the resistance of the wire.
Nichrome is a type of resistance wire made from a nickel-chromium alloy. It has a high melting point and can withstand high temperatures. Nichrome wire is commonly used in heating elements, such as those found in toasters and hairdryers. The resistance of a wire depends on its length, cross-sectional area, and resistivity.
The resistance of a wire is given by the formula:
R = (ρl)/AWere,ρ = resistivity
l = length of wire
A = cross-sectional area of the wire
Resistance is directly proportional to the length of the wire and inversely proportional to the cross-sectional area of the wire. Therefore, a longer and thinner wire will have a higher resistance than a shorter and thicker wire. The resistivity of the material is also an important factor that affects the resistance of a wire.Since the length and diameter of the Nichrome wire are given, the resistance of the wire can be calculated using the formula mentioned above. Once the resistance is known, the current flowing through the wire can be calculated using Ohm's law. The voltage of the battery is also given, so the power dissipated by the wire can be calculated. The way the wire is bent does not affect its resistance or other electrical properties, so it is not necessary to know how it is bent.
Therefore, you do not have to know how the Nichrome wire is bent in order to calculate the current through the wire connected to a 2.1V flashlight battery.
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train 'A' travelled a distance of 120 km in 3hours whereas train 'B' travelled a distance of 180 km in 4 hours. which train travelled faster with proof answer
A 2,400 kg car is traveling at a speed of 20 meters per second. compared to the magnitude of the force required to stop the car in 12 seconds, the magnitude of the force required to the car in 6.0 seconds is:______.
The magnitude of the force required to stop the car in 6 seconds is 7,992 N, which is approximately twice the magnitude of the force required to stop the car in 12 seconds.
Assuming that the car's velocity decreases at a constant rate, we can use the equations of motion to determine the magnitude of the force required to stop the car in 12 seconds and 6 seconds.
The initial velocity of the car is v1 = 20 m/s, and the final velocity is v2 = 0 m/s. The time taken to stop the car is t = 12 seconds.
Using the equation of motion:
\($$v_2 = v_1 + at$$\)
where a is the acceleration of the car, we can solve for a:
\($$a = \frac{v_2 - v_1}{t}$$\)
a = (v2 - v1) / t
= (0 - 20) / 12
= -1.67 m/s²
The force required to stop the car can be calculated using Newton's second law of motion:
F = ma
where m is the mass of the car, which is given as 2,400 kg. Substituting the values, we get:
F = 2,400 kg x (-1.67 m/s²)
= -4,008 N
The magnitude of the force required to stop the car in 12 seconds is 4,008 N.
Now, let's find the magnitude of the force required to stop the car in 6 seconds. Using the same equations of motion, we can solve for the acceleration of the car:
a = (v2 - v1) / t
= (0 - 20) / 6
= -3.33 m/s²
Using Newton's second law of motion, we can find the magnitude of the force required to stop the car in 6 seconds:
F = ma
= 2,400 kg x (-3.33 m/s²)
= -7,992 N
Therefore, the magnitude of the force required to stop the car in 6 seconds is 7,992 N, which is approximately twice the magnitude of the force required to stop the car in 12 seconds.
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Una botella vacía tiene una masa de 24.25g y de 86.55g completamente llena de agua, se vacia el agua y se llena nuevamente con 123.95g de solvente tetracloruro de carbono, ¿cual es la densidad del solvente?
Answer:
La densidad del tetracloruro de carbono es 1.990 gramos por centímetro cúbico.
Explanation:
La masa de agua contenida dentro de la botella es igual a la diferencia entre la masa pesada totalmente llena y la masa pesada totalmente vacía, es decir:
\(m_{w} = 86.55\,g-24.25\,g\)
\(m_{w} = 62.3\,g\)
Ahora, de acuerdo con la definición de densidad, la masa es directamente proporcional a la densidad, entonces, podemos calcular la densidad del solvente mediante la siguiente relación:
\(\frac{m_{x}}{m_{w}} = \frac{\rho_{x}}{\rho_{w}}\) (1)
Donde:
\(m_{x}\) - Masa del tetracloruro de carbono, en gramos.
\(m_{w}\) - Masa del agua, en gramos.
\(\rho_{x}\) - Densidad del tetracloruro de carbono, en gramos por centímetro cúbico.
\(\rho_{w}\) - Densidad del agua, en gramos por centímetro cúbico.
Si sabemos que \(m_{x} = 123.95\,g\), \(m_{w} = 62.3\,g\) y \(\rho_{w} = 1\,\frac{g}{cm^{3}}\), entonces la densidad del tetracloruro de carbono es:
\(\rho_{x} = \left(\frac{m_{x}}{m_{w}} \right)\cdot \rho_{w}\)
\(\rho_{x} = 1.990\,\frac{g}{cm^{3}}\)
La densidad del tetracloruro de carbono es 1.990 gramos por centímetro cúbico.
In the human circulatory system, arteries carry blood away from the heart to different parts of the body. Veins carry blood from different parts of the body back to the heart. A scientist claims that the greater the amount of exercise a person performs, the greater the amount of oxygen (O2) the body uses. He records the oxygen concentration in the blood of people while they are riding an exercise bike. The graphs show the results of this investigation.
a. Identify at least two systems within the human body that work together during exercise.
b. Explain how the evidence from the data in the graphs supports or does not support the scientist’s claim.
Answer:
There are many different systems involved in when we exercise, the three main ones are the Respiratory system which is involved in breathing the circulatory system which is about circulation of blood around the body and finally the muscular system and finally the Muscular system which is about how we move.
Explanation:
If the data consistently do not support the hypothesis, then CLEARLY, the hypothesis is NOT a reasonable explanation of what you are investigating. The hypothesis is rejected, and we search for a new interpretation, an new hypothesis that supports the experimental data
Respiratory and circulatory systems are the two systems within the human body that work together during exercise.
How does the respiratory and circulatory systems work together during exercise?The respiratory system:
allows the exchange of gases intake of oxygen and exhalation of carbon-dioxide.oxygenation of blood at the lungs.The circulatory system:
transports deoxygenated blood to the lungs for oxygenation.delivers oxygenated blood to the appropriate tissue.Hence, during exercise more oxygen is used by the body.The claim by scientist is true?During exercise:
breathing rate increases from about 15 times per minute to roughly 40–60 times per minute.heart rate also rises, providing more oxygen to reach your muscles and allowing them to continue moving.To learn more about respiratory system, circulatory system, blood, exercise, and oxygen here,
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Calculate the wavelength of a sound wave with a frequency of 1.2KHz when the speed of
sound in air = 0.33 km/s
The wavelength of the sound at frequency of 1.2khz will be 0.275 m
we know that,
velocity= frequency x wavelength
0.33 km/s = 1.2khz x wavelength
wavelength = 0.33 km/s/1.2khz
wavelength = 330m/s / 1200hz
wavelength = 0.275m
what are some hack that I can use to heal up my eyes?
Answer:
All 7 Dragonballs
Explanation:
the dragonball Summon shenron which will then grant you a wish
Determine the kinetic energy of a 1000-kg roller coaster car that is moving with a speed of 20.0 m/s.
196000 N
200000 N
200000 J
196000 J
Answer:
The correct answer is - 200000 J
Explanation:
We use the formula of kinetic energy:
The formula to calculate kinetic energy is,
Here,
Ec =1/2 x m x v^2
The mass of the roller coaster is, m = 1000 k g
The speed of the roller coaster is, v = 20.0 m/s
Therefore,
Ec=1/2 x 1000kg x (20m/s)^2 = 200.000Joule
200,000J
Mitosis can sometimes result in mutations, which can be repaired?
True or False
Answer:
True
Explanation:
Mitosis is the process of cell division that produces two identical daughter cells. Occasionally mutations can occur during DNA replication or the other stages of mitosis. However, cells have mechanisms for DNA repair that can correct these mutations, ensuring the integrity of the genetic material.
For vg1 = vg2 =0 v, find | vov| and vsg for each of q} and q2. also find v5, vd1, vd2, and vo. (b) if the current source requires a minimum voltage of 0.2 v, find the input common-mode range.
The values of Vs, Vd1, and Vd2 are 0.4 V, -0.8 V, -0.4 V, -1.2 V and the input common-mode range is -2.7 V ≤ Vin ≤ -3.2 V.
For the given PMOS differential amplifier shown in the figure,
Jet V=-0.8 V
k,(W/L) 3.5 mA/V.
Let us neglect the channel-length modulation,
a) For Vg1 = Vg2 = 0 V, Vov for Q1 and Q2 is
Vov = √(2×ID/(k×(W/L)×Cox × Vgs))
Here
\(ID = k*(W/L)*Vov^{2/2}\)
Cox = eox/tox
eox = 3.9×8.85×10⁻¹⁴ F/cm
tox = 100 A/cm²
Staging the given values in the above equations,
Vov = 0.4 V
Vgs = -1.2 V for Q1 and -0.4 V for Q2
Vs = -0.8 V
Vd1 = -0.4 V
Vd2 = -1.2 V
b) The input common-mode range is
Vcm_min = -Vss + Vcs + Vgs_min
HereHere
Vss = -1.5 V (given)
Vcs = 0 (since there is no voltage drop across current source)
Vgs_min = min(Vgs1, Vgs2) = -1.2 V (from part a)
Therefore,
Vcm_min = -1.5 + 0 + (-1.2) = -2.7 V
Vcm_max = -Vss + Vds_min + |Vtp|
where Vds_min = min(Vd1, Vd2) = -1.2 V (from part a)
|Vtp| is the threshold voltage of PMOS transistor which is given as -0.5 V (given)
Therefore,
Vcm_max = -1.5 + (-1.2) + |-0.5| = -3.2 V
Hence, the input common-mode range is -2.7 V ≤ Vin ≤ -3.2 V.
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The complete question is
For the PMOS differential amplifier shown in following figure, Jet V=-0.8 V and k,(W/L) 3.5 mA/V.
Neglect channel-length modulation.
a) For Vg1 = Vg2 = 0 V, find Vov and Vgs for each of Q1 and Q2. Also find Vs, Vd1, and Vd2.
b) If the current source requires a minimum voltage of 0.5V, find the input common-mode range.
Which statement best describes what happens when oil and water are stirred together?.
which of the following is the scientific description of work
The scientific description of work is the measure of energy transferred when a force acts on an object and moves it through a distance.
What is Work?
Work can be mathematically calculated as the product of the force and the distance over which the force is applied. Work is a measure of the amount of energy transferred to an object when a force is exerted on it and the object is displaced.
It is represented by the formula,
W = F × d,
Where;
W is work,
F is force, and
d is the displacement.
There are three basic requirements that must be met for work to be done on an object: a force must be exerted on the object, the object must move in response to the force, and the force and displacement must be in the same direction.
When these requirements are met, the work done on an object is equal to the force multiplied by the distance the object moves.
Therefore, the amount of energy transmitted when a force acts on an object and propels it across a distance is how work is scientifically defined.
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A train car of mass 16,500 kg moves along the railroad track with a constant speed of 14 m/s. What is the momentum of the car?
Explanation:
Here,
Mass=16,500kg.
speed=14 m/s.
we know that,
\(\tt{ p=m×v }\) ⠀
where,
p=momentum
m=mass
v=velocity
according to the question,
\(\tt{ momentum =mass×velocity }\) ⠀
\(\tt{ 16500×14 }\) ⠀
\(\tt{ 231000~kg.m/s }\) ⠀
so,
velocity of the car is 231000kg.m/s
Multiple Choice Question About A Long Walk To Water
1. Where is Salva's father when Salva finds him in Chapter 17?
(a) In New York.
(b) In a church.
(c) In a clinic.
(d) At his home.
2. What does Salva study in college?
(a) Theater.
(b) Business.
(c) History.
(d) Geology.
3. Why does Salva lead the boys walking at night in Chapter 13?
(a) Because they fear the lions.
(b) Because they fear the crocodiles.
(c) Because there is more fighting during the day.
(d) Because the sun is too hot during the day.
4. How far is the nearest school from Nya's home?
(a) A half a day's walk.
(b) Two hours' walk.
(c) A full day's wall.
(d) An hour's walk.
5. From what tribe does Dep say the crew leader is descended in Chapter 18?
(a) Dinka.
(b) Jur-chol.
(c) Nuer.
(d) Shilluk.
6. Whose gentleness does Salva recall in Chapter 13?
(a) His mother's gentleness.
(b) His uncle's gentleness.
(c) His sisters' gentleness.
(d) His father's gentleness.
7. What kind of sports team does Salva join in Rochester?
(a) A volleyball team.
(b) A baseball team.
(c) A cricket team.
(d) A basketball team.
8. What is Nya holding while she waits in line in Chapter 18?
(a) A lollipop.
(b) A plastic bottle.
(c) A gourd.
(d) A book.
9. What do the village women gather for the crew in Chapter 12?
(a) Rocks.
(b) Twigs.
(c) Papyrus leaves.
(d) Squirrel pelts.
10. What is the crew leader leaning against while Nya watches him in Chapter 18?
(a) The pump.
(b) The school building.
(c) A truck.
(d) A tree.
11. For how long did Salva live at the first refugee camp in Kenya?
(a) For one year.
(b) For two years.
(c) For four months.
(d) For five years.
12. What does the crew leader reveal his name to be in Chapter 18?
(a) Ariik.
(b) Dep.
(c) Salva.
(d) Akeer.
13. The narrator says in Chapter 15 that in the part of Africa where Salva grew up, the temperature rarely dropped below what?
(a) 70 degrees.
(b) 80 degrees.
(c) 50 degrees.
(d) 60 degrees.
14. How old are the youngest boys in Salva's group in Chapter 13?
(a) Three.
(b) Five.
(c) Four.
(d) Two.
15. How many letters are there in the English alphabet?
(a) 28.
(b) 26.
(c) 30.
(d) 24.
A man tries to push a 200 kg Car that moves at a acceleration 0.50 m/s2. The man is able to displace the car 10 m. How much work did he do?
The work done by the man pushing the car over the given distance is 1000J.
Given the data in the question;
Mass of car; \(m = 200kg\)Acceleration of the car; \(a = 0.5m/s^2\)Distance covered by the car; \(d = 10m\)Work done; \(W = \ ?\)
Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
\(Work\ done = f * d\)
Where f is force applied and d is distance travelled.
To determine the work done by the man, we first solve for the force applied F.
From Newton's Second Law; \(Force \ F = m * a\)
We substitute our given values into the expression
\(F = m * a \\\\F = 200kg * 0.5m/s^2\\\\F = 100kg.m/s^2\)
Next we substitute our values into the expression of work done above.
\(Work \ done = f * d\\\\Work \ done = 100kg.m/s^2 * 10m\\\\Work \ done = 1000kgm^2/s^2\\\\Work \ done = 1000J\)
Therefore, the work done by the man pushing the car over the given distance is 1000J.
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What is the period of a wave definition?
A wave's period is the amount of time it takes for two crests to pass one wavelength apart at a certain location.
The formula for wave period is wavelength divided by velocity since the periods indicate that a wave's period is the inverse of its frequency. The frequency of a wave is measured in 1/s, often known as Hertz, whereas the period of a wave is measured in seconds (s) (Hz).
Each wave, period is typically expressed in seconds. Speed (V) divided by wavelength (V) yields the period (T) (S). Divide the length by the speed, for instance, 12 m divided by 6 m/s = 2 s to determine the period of a wave with a speed of 6 m/s and a wavelength of 12 m.
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1. A 1.33-kg physics textbook is initially at rest on a steel table.
The textbook is then pushed with a constant force of 4.0 N.
Friction with a magnitude of 2.0 N is exerted on the moving
book by the surface of the table.
Determine the final velocity of the textbook after it has been
pushed 0.75 meter across the table.
The acceleration of the textbook is a = F/m = 2.0 N/1.33 kg = 1.5 m/s². and the final velocity of the textbook is v = 0 + (1.5 m/s²)(0.75 s) = 1.125 m/s.
What is acceleration?Acceleration is the rate at which an object changes its velocity over time. It is a vector quantity, meaning it has both magnitude and direction. An object's acceleration can be calculated by measuring the change in its velocity over time.
The net force acting on the textbook is the difference between the pushing force of 4.0 N and the frictional force of 2.0 N, which is 2.0 N.
According to Newton's Second Law, this net force of 2.0 N will cause an acceleration of the textbook given by the equation F = ma, where m is the mass of the textbook (1.33 kg) and a is the acceleration.
Therefore, the acceleration of the textbook is a = F/m = 2.0 N/1.33 kg = 1.5 m/s².
The final velocity of the textbook can then be calculated using the equation v = v0 + at, where v0 is the initial velocity (0 m/s, since the textbook was initially at rest), a is the acceleration (1.5 m/s²), and t is the time the textbook was pushed (0.75 m).
Therefore, the final velocity of the textbook is v = 0 + (1.5 m/s²)(0.75 s) = 1.125 m/s.
To learn more about acceleration
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A child attaches a rubber ball to a string and whirls it around in a circle overhead. If the string is 0.2m long and the ball's speed is 16 m/s, what is the ball's centripetal acceleration?
Answer:
The centripetal acceleration, \(a_c = 1280 m/s^2\)
Explanation:
Centripetal acceleration is given by the formula:
\(a_c = \frac{v^2}{r}\)
Where the speed of the ball, v = 16 m/s
Length of the string, r = 0.2 m
Substituting these parameters into the centripetal equation above:
\(a_c = \frac{16^2}{0.2}\\a_c = \frac{256}{0.2}\\a_c = 1280 m/s^2\)