Point charges q1 = q2 = 4.0 × 10−6 C are fixed on the x-axis at x = −3.0 m and x = 3.0 m. What charge q must be placed at the origin so that the electric field vanishes at x = 0, y = 3.0 m?
Answers
The charge q must be placed at the origin so that the electric field vanishes at x = 0, y = 3.0 m will be q₃ = -2.83x10⁻⁶
What is electric field?The total electric field is the sum of each charge's individual electric fields. Please see the illustration below. The electric fields depicted in the point are produced by the charges q1 and q2 (0,3). Because both charges have the same magnitude and sign and are at the same distance from the point, their horizontal electric fields cancel each other out, leaving only the vertical component, which is directed upwards.The total electric field is zero because the third charge, q3, must be negative. First, compute the angle value by examining the distances in the right triangle formed by the charges q1, q2, and the point (0,3)tan θ = 3/3 = 1
As a result of this, θ = 45°
The distance between q1 (or q2) and the point (0,3) is calculated by
d² = 3² + 3² = 18m²
Let us calculate the magnitude of q1 or q2's electric:
E = Kq1 /d² = Kq2/d²
E = 9.10⁹ X 4.10⁻⁶/8
E = 2000N/c
Both fields' vertical components are given by
Ey = 2000 cos 45°
= 1414.21
The total field generated by q1 and q2 is twice that amount.
Eyt = 2828.42 N/c
That should be the value of E3 to make the entire field disappear (equal to 0)
E₃ = Kq₃/d²₃ = 2828.42
Trying to figure out q3
q₃ = 2828.42.d²₃ = 2828.42 x 3²/9.10⁹
q₃ = -2.83x10⁻⁶
We already knew that the sign of q3 had to be negative.
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Related Questions
an elevator weighing 2700 n ascends at a constant speed of 5.0 m/s. how much power in hp must the motor supply to do this?
Answers
In this case, the mass of the elevator is 2700 N, so the power needed to lift it at a constant speed of 5.0 m.
What is elevator?An elevator is a vertical transportation device used to move people or goods between different floors of a building, vessel, or other structure. Elevators are typically powered by electric motors that drive traction cables and counterweight systems like a hoist, although some pump hydraulic fluid to raise a cylindrical piston like a jack.
The power (in hp) needed to lift an elevator at a constant speed of 5.0 m/s is calculated by the following equation:
Power (in hp) = (Mass of the elevator x 9.8 m/s2 x Speed of the elevator) / 746 W/hp
In this case, the mass of the elevator is 2700 N, so the power needed to lift it at a constant speed of 5.0 m.
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What is a large volume of air that takes the characteristics in which it forms?
Answers
A large volume of air that takes the characteristics in which it forms is known as an air mass.
In brief:Air masses are formed when a large volume of air is stationary over a specific area for a long time where it takes on the characteristics of the area, such as temperature, humidity, and pressure.
Example: if an air mass forms over a warm, humid region, it will become warm and humid.
What is volume?Volume is the space an object tskes to fit in.
What is temperature?Temperature is the degree of hotness or coldness of a body.
What is humidity?The moisture content in the air is called humidity.
What is pressure?The force applied per unit area is known as pressur
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a 0.75 kg projectile is shot straight up with an initial speed of 18m/s. a. how high would it go if there were no air friction? (16.53 m) b. if the projectile only reaches a height of 9 m, what is the average net force due to air resistance?
Answers
a 0.75 kg projectile has been shot straight up with an initial speed of 18m/s. Then 16.2 m high would it go if there were no air friction.
What is projectile ?An object which is propelled by the application of an external force and as a result then moves freely while being affected by the gravity and air resistance is termed to as a projectile. Projectiles are often used in sports and warfare, despite the fact that any item traveling through space is a basically a projectile.
To find how high would it go if there were no air friction we will use the following
ΔKE=PE
1/2mu^2-1/2mv^2=mgh
given 1/2mu^2= 1/2*0.75*18^2
1/2mv^2=0m/s
h=?
putting values we get
121.5-0=0.75*10*h
121.5/7.5=h
h=16.2 m
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A boxer hits a punching bag and gives it a change in momentum of 12 kg•m/s
over 7.0 ms.
Answers
The magnitude of the net force on the punching bag is 1714N
What is momentum?momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. See Newton's laws of motion.The change in momentum of an object is the product of mass and the change in velocityThe magnitude of the netforce can be calculated using 12kg/7.0msBut we can convert 7ms to "s" = 7× 10^-3sF= Force = 12/7×10^-3= 1714NHence, the magnitude of the net force on the punching bag is 1714NTo learn more about momentum refers to:
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anthropologists occasionally apply their work to real-world problems but most of the time they conduct academic research directed at their academic peers.
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It is TRUE that anthropologists occasionally use their research to solve problems in the real world, but most of the time they perform scholarly study for academic peers. Applied anthropologists use anthropological concepts and methodologies to address problems in the real world.
By utilizing anthropological concepts and methodologies, applied anthropologists attempt to solve contemporary issues. They strive to carry out fresh investigations around the globe and to produce new theses that incorporate those investigations. They tend to conduct research primarily on the anthropology method in an effort to come up with fresh ideas to the challenges that are currently being faced. By using this fundamental information, we may confidently conclude that while anthropologists occasionally apply their findings to real-world problems, they do it most often in the context of academic study aimed at other academics. By utilizing anthropological concepts and methodologies, applied anthropologists attempt to resolve contemporary issues.
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The complete question is:
Anthropologists occasionally apply their work to real-world problems but most of the time they conduct academic research directed at their academic peers. True or False.
(a) calculate the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop).
Answers
Hence,9500N is the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m with gravitational acceleration of 10m/s^2.
What do you understand by gravitational acceleration?The acceleration applied on any object due to the force of gravity when its in the vacuum which means no external force is in action over it is termed as the gravitational acceleration.
Given:
Mass of car = 950Kg
Speed of car=90.0km/h
Distance it needs to be stopped=120m
gravitational acceleration=10m/s^2
To find the force we do as follows
F=ma
F=950kg*10
F=9500N
hence, ,9500N is the force needed to to stop the car.
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Groups of skydivers need to navigate through the air during a jump to get into a formation. How can skydivers who are below the
formation join the group? (1 point)
A.They can form their bodies into a ball to slow their acceleration.
B.They can form their bodies into a ball to decrease the strength of gravity.
C.They can spread their bodies to slow their acceleration.
D.They can spread their bodies to decrease the strength of gravity.
Answers
Is velocity 0 at the top of a projectile?
Answers
Yes, velocity is zero (0) at the top of a projectile trajectory due to the object is in its stationary phase and the net force is also zero.
When an object is projected into the air, it is subject to the force of gravity pulling it downward. This force causes the object to follow a parabolic trajectory, where the velocity of the object changes constantly. As the object reaches the highest point of its trajectory, it has reached its maximum height and its upward velocity becomes zero. At the highest point, the object is momentarily motionless and its velocity is zero. It's important to note that this is true for a projectile under the effect of gravity only. If there were other forces acting on the projectile, like air resistance, the velocity at the highest point would not be necessarily zero. In summary, the velocity of an object is zero at the top of a projectile's trajectory, because the object is at the highest point of its trajectory and it's not moving, and the net force acting on the object is also zero.
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an electric field of constant strength 6 N/C point in the positive y direction. A proton moves from the origin to the point (0,2) m. What is the change in the proton's electric potential? What would be the change in electric potential if an electron moved the same way?
Answers
(a) The change in the proton's electric potential + 1.92 x 10⁻¹⁸ J
(b) The change in electric potential if an electron moved the same way is -1.92 x 10⁻¹⁸ J
What is the change in the proton's electric potential?
The change in the proton's electric potential is calculated by applying the following equation;
W = qV
W = qEd
where;
q is the magnitude of the charge of the particleE is the constant electrical fieldd is the distance moved by the chargeThe charge of a proton = +1.6 x 10⁻¹⁹ C
The charge of an electron = - 1.6 x 10⁻¹⁹ C
The change in the proton's electric potential is calculated
W = ( +1.6 x 10⁻¹⁹ C ) x ( 6 N/C ) x ( 2 m )
W = + 1.92 x 10⁻¹⁸ J
Thus, if it was electron, the electric potential will be negative.
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An electrical resistor immersed in a liquid produces 65. 0 W of electrical energy for 120
seconds, which heats the 0. 780 kg mass of liquid, causing it to rise in temperature from
18. 55°C to 22. 54°С. Find the average specific heat capacity of the liquid in this temperature
range. Assume that negligible heat is transferred to the container that holds the liquid and that
no heat is lost to the surroundings
Answers
The average specific heat capacity of the liquid in this temperature is 2506 J/kg/C
The specific heat capacity, or massic heat capacity, of a substance is calculated using thermodynamics as the heat capacity of a sample of the substance divided by the mass of the sample.A substance's specific heat capacity may be substantially higher when heated in an open vessel that permits expansion than when heated in a closed vessel that prevents expansion, especially when the substance is a gas (specific heat capacity at constant pressure) (specific heat capacity at constant volume).
the amount of heat input to the liquid is 65W x 120s = 65(J/s) x 120s = 7800J
then we have that
Q = [tex]m\times c \times \delta t[/tex] so that
c = ([tex]\frac{Q}{m\times\delta t}[/tex]) = [tex]\frac{7800J}{0.78kg * 3.99C}[/tex] = 2506 J/kg/C
if some of the energy heated the container or surroundings, then less energy actually went into heating the liquid; if less energy caused the 3.99C temp increase, the specific heat must be less, so the value we just calculated is an overestimate.
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Until it was recently discontinued , the fastest jet plane in the skies was the Lockheed SR-71 Blackbird. However , this plane did not reach its high speeds through large acceleration. The plane had a mass of 7. 7*10^ 4 kg and was driven by an estimated unbalanced force of about 7. 23 * 10 ^ 5 * N What was the acceleration of the Lockheed SR- 71?
Answers
The acceleration of the Lockheed SR- 71 is 9.389m/s^2
Define force.
A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law suggests that an object's acceleration is directly proportional to the net force acting on it, is in the direction of the net force, and is inversely proportional to the mass of the object if the object's mass is constant.
F = ma
a = F/m
F = 7.23*10^5N
m = 7.7*10^4kg
a = 9.389m/s^2
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I need help I’m not understanding!!!
Answers
Answer:
C - 6 meters
Explanation:
To find displacement using a velocity-time graph, you will have to calculate the area under the curve
gold, which has a density of 19.32 g/cm 3 , is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber, (a) if a sample of gold, with a mass of 27.63 g, is pressed into a leaf of 1.000 ^m thickness, what is the area of the leaf? (b) if, instead, the gold is drawn out into a cylindrical fiber of radius 2.500 fjl m, what is the length of the fiber?
Answers
So, the length of the cylindrical gold fiber is 1.36 x 10⁻⁴m.
define length ?
Length is a measure of the extent of an object or distance along its longest dimension. It is typically defined as the distance between two points or the size of an object in the direction of its length. Length can be measured in units such as meters, centimeters, inches, or feet, depending on the specific application or field of study.
(a) To find the area of the gold leaf, we can use the formula:
A = m/d * t
where m is the mass of the gold (27.63 g), d is the density of gold (19.32 g/cm^3), and t is the thickness of the leaf (1.000 m).
A = 27.63 g / (19.32 g/cm³) * (1.000 m)
A = 1.42 x 10⁻⁴ m²
So, the area of the gold leaf is 1.42 x 10⁻⁴ m².
(b) To find the length of the cylindrical gold fiber, we can use the formula:
L = m/d * (4/3) * π* r²
where m is the mass of the gold (27.63 g), d is the density of gold (19.32 g/cm^3), and r is the radius of the cylindrical fiber (2.500 fjl m).
L = 27.63 g / (19.32 g/cm³) * (4/3) * π * (2.500 fjl m)²
L = 1.36 x 10⁻⁴ m
So, the length of the cylindrical gold fiber is 1.36 x 10⁻⁴ m.
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Create 5 test questions that are biased and give a reason for the question being biased
Answers
This phrase describes the several circumstances and biases that may affect survey results.
What is Response Bias?Survey data that contains biased responses is less useful because it is erroneous, whether the bias was intentional or not.Self-reporting participant surveys are especially prone to this problem.Any survey's core problem is bias replies, which determine the data's quality. If you want insightful survey responses, bias avoidance is absolutely crucial.One of the more typical kinds is leading bias. As an illustration, imagine that your question is about customer happiness and that the response possibilities are Very Satisfied, Satisfied, and Dissatisfied. Bias exists in this situation, which could impact the outcome.By including two of each of the positive and negative answers in the survey questions, you may avoid bias in this situation.To Learn more About biases refer To:
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PLEASE HELP ASAP
A ball is thrown horizontally from a hill 42.9 m high at a velocity of 5.85 m/s.
Find the distance between the base of the hill and the point where the ball hits
the ground?
Answers
The initial horizontal velocity can also be determined by measuring the diameter d of the ball and dividing by the time t that it takes for the ball to move across the photogate. That is Vo = d/t.
Find the distance between the base of the hill and the point where the ball hits the ground?
Let’s review the 4 fundamental kinematic equations of motion for constant acceleration (suggest you commit these to memory):
s = ut + ½at^2 …. (1)
v^2 = u^2 + 2as …. (2)
v = u + at …. (3)
s = (u + v)t/2 …. (4)
where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.
In this case, we want to find the time for the ball to drop vertically to the ground, and then use that time to find the horizontal distance traveled.
For the vertical drop, we know u = 0, a = g = 9.81m/s^2 and s = 5m, so from equation (1) we get
s = ut + ½at^2
5 = 0 +4.905t^2
t = √(5/4.905) = 1.01s
Knowing t, we can now find the horizontal distance
s = ut + ½at^2
s = 35(1.01) + 0 (no horizontal acceleration)
s = 35.35m
So, the ball travels 35.35m horizontally before hitting the ground.
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The initial horizontal velocity can also be determined by measuring the diameter d of the ball and dividing by the time t that it takes for the ball to move across the photogate. That is Vo = d/t.
Find the distance between the base of the hill and the point where the ball hits the ground?Let’s review the 4 fundamental kinematic equations of motion for constant acceleration (suggest you commit these to memory):
s = ut + ½at^2 …. (1)
v^2 = u^2 + 2as …. (2)
v = u + at …. (3)
s = (u + v)t/2 …. (4)
where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.
In this case, we want to find the time for the ball to drop vertically to the ground, and then use that time to find the horizontal distance traveled.
For the vertical drop, we know u = 0, a = g = 9.81m/s^2 and s = 5m, so from equation (1) we get
s = ut + ½at^2
5 = 0 +4.905t^2
t = √(5/4.905) = 1.01s
Knowing t, we can now find the horizontal distance
s = ut + ½at^2
s = 35(1.01) + 0 (no horizontal acceleration)
s = 35.35m
So, the ball travels 35.35m horizontally before hitting the ground.
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what are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1000cm^3
Answers
The dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1000cm^3 is a can with a radius of 10cm and a height of 10cm.
The volume of an open-top right circular cylindrical can is given by the formula:
V = πr^2h
Where V is the volume, r is the radius, and h is the height of the can. The can is open-top, so we can assume the height is h, and we want to find the radius that will hold a volume of 1000cm^3
Given that V = 1000 cm^3
We can substitute the formula in the given volume, we have:
1000 = πr^2
To find the dimensions of the lightest open-top right circular cylindrical can, we need to minimize the total surface area of the can. The total surface area of an open-top right circular cylindrical can is given by the formula:
S = 2πr^2 + 2πrh
The first term on the right represents the lateral surface area, and the second term is the top and bottom surface area. To minimize the total surface area, we need to minimize the value of the second term. For that, we need to minimize the value of the height.
We can rearrange the equation of the volume, to find the value of h and then use that to find the value of r
h = V / (πr^2)
Given V = 1000 cm^3
We can substitute this in the equation, to find h:
h = 1000 / (πr^2)
Now we can assume a value of r and calculate the corresponding value of h.
For example, if we assume r = 10cm, we get h = 10cm,
r = 10cm
h = 10cm
So the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1000cm^3 is a can with a radius of 10cm and a height of 10cm.
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when a solar eclipse occurs there are two different shadows, one being smaller and darker than the other and sitting inside of the larger shadow. what is the name for the smaller shadow?
Answers
When ever a solar eclipse happens there are two different shadows formed, one being smaller and darker than the other one formed and sitting inside of the larger shadow. The umbra is the name for the smaller shadow.
What do you understand by the term solar eclipse?A solar eclipse happens whenever the Moon moves in front of the Sun and blocks some of Earth's view of it either completely or partially.
When witnessing a solar eclipse, proper eye protection or indirect viewing techniques are necessary because looking directly at the Sun may cause lasting eye damage. A complete solar eclipse may only be safely viewed without safety glasses when its in total phase. To view solar eclipses, enthusiasts termed as eclipse chasers or umbraphiles go to far-off places to have a far better look .
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If you melt a metamorphic rock and let it cool what type of rock will you have ?
Answers
If you melt a metamorphic rock and let it cool, you would have an igneous rock.
Metamorphic rocks are formed from the alteration of existing rocks due to heat, pressure, and chemical processes. When a metamorphic rock is melted, the minerals that compose it are broken down and can re-crystallize into new minerals as the rock cools.
The process of solidification of molten material to form a solid rock is called igneous rock formation.
It's important to note that the process of melting and solidifying can also change the texture and structure of the rock. For example, a metamorphic rock that was originally a fine-grained rock may become a coarse-grained rock after the process of melting and solidifying.
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If this rocket were used to send a lunar lander toward the moon, describe how the gravitational fields surrounding the lander would would change as the rocket moved toward the moon.
Answers
A rocket goes up when the force of thrust pushing it up is greater than the force of gravity pulling its weight down on it. A rocket accelerates upward due to this unbalanced force.
Describe how the gravitational fields surrounding the lander would would change as the rocket moved toward the moon?A rocket goes up when the force of thrust pushing it up is greater than the force of gravity pulling its weight down on it. A rocket accelerates upward due to this unbalanced force. As long as the rocket engine's thrust exerts an upward force, the rocket will continue to accelerate.
How was the Earth's rotation affected by the Moon's gravity?The Moon slowly rose into ever-higher orbits as a result of Earth's spin being "stolen" by the Moon's gravitational pull-on Earth. The Moon is receding at a rate of two inches (five centimeters) per year, as confirmed by the Apollo laser experiments.]
Why does the moon lack gravity?At its surface, the Moon's gravitational field is only one-sixth that of Earth due to its smaller mass and radius. Gas molecules can escape at a speed of only 5400 mph due to the Moon's much weaker gravity.
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A 2.7 kg particle starts from rest and moves a distance of 1.8 m in 3.1 s under the action of a single, constant force. Find the magnitude of the force. Answer in units of N. Answer in units of N.
Answers
Force on the object is 6.192 N.
What is force?Aristotle famously represented a force as anything that causes an object to undergo “unnatural motion”. Sir Isaac Newton was one of the first scientists to study gravity and force. Any kind of force is just a push or a pull. It can be described as a push or pull on an object.Force is an external agent capable of changing a body’s state of rest or motion. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force, and the application of force is the point where force is applied.The Force can be measured using a spring balance. The SI unit of force is Newton(N).
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The Earth has an inwardly directed electric field that varies slightly depending on location and altitude. Make the simplifying assumption that this field is a constant 85 N/C and directed toward Earth’s center.
a. What is the net charge on the Earth's surface?
Answers
The net charge on the Earth's surface is zero.
The simplifying assumption is that the Earth has an inwardly directed electric field that is a constant 85 N/C and directed towards the center of the Earth. This means that the electric field is acting inwards on any charges that may be present on the Earth's surface. Since electric fields exert forces on charges, the net charge on the Earth's surface must be zero, otherwise, there would be an unbalanced force acting on it, and the charge would be pulled towards the center of the Earth.
This is because the inward electric field is balanced by the charges on the Earth's surface, positive charges and negative charges are distributed in such a way that the net charge on the Earth's surface is zero, and no unbalanced force is exerted on the charges.
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. cam newton of the carolina panthers throws a perfect football spiral at 8.0 rev/s. the radius of a pro football is 8.5 cm at the middle of the short side. what is the centripetal acceleration of the laces on the football?
Answers
The centripetal acceleration of the laces on the football is 215 m/s².
What is acceleration?Acceleration is the rate of change of velocity. It is a vector quantity that is defined as the rate of change of an object's speed in a given direction. Acceleration is the result of a net force acting on an object and is measured in meters per second squared (m/s2). Acceleration can be caused by an external force, such as gravity, or by an internal force, such as a muscle contraction.
We know that the centripetal acceleration is given by
[tex]$ a_c = \frac{v^2}{r}[/tex]
Here is the angular speed and is radius of a pro football at the middle of the short side
[tex]$ a_c = \frac{v^2}{r}[/tex]
[tex]$ a_c = \frac{(\frac{2 \pi r}{T} )^2}{r}[/tex]
[tex]$ a_c = (\frac{2 \pi }{T} )^2}{r}[/tex]
[tex]$ a_c =\omega^2 r[/tex]
Here ω is the angular speed and r is radius of a pro football at the middle of the short side
Substitute 8 rev\s for ω and 8.5 for r.
[tex]$ a_c = \left(8 rev/s \times \frac{2 \pi \ rad}{1 \ rev} \right)^2 \left( 8.5 cm \times \frac{1 \ m}{100 \ cm} \right)[/tex]
= 215 m/s²
Therefore, the centripetal acceleration of the laces on the football is 215 m/s².
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Someone is singing in a shower that measures 2. 40 meters from floor to ceiling, and notices their voice causes the shower to resonate with a fundamental frequency of 73 Hz
Answers
When a person sings in a shower and causes the shower to resonate with a fundamental frequency of 73 Hz, this is an example of a standing wave, also known as a resonance.
The fundamental frequency of a standing wave is determined by the length of the resonant cavity, which in this case is the shower. The fundamental frequency is related to the length of the cavity by the equation:
f = v / 2L
where f is the frequency, v is the velocity of sound in the medium (in this case, air), and L is the length of the cavity. Given that the shower has a length of 2.40 meters and the fundamental frequency is 73 Hz, we can use the equation above to calculate the velocity of sound in air.
73 = v / (2 * 2.40)
Solving for v, we get:
= v
= (73 * 2 * 2.40)
= 350.4 m/s
The speed of sound in air is approximately 343 m/s at 20 °C at sea level. The velocity of sound in air can change with temperature, humidity and pressure. Given that the velocity of sound in air is around 343 m/s, the frequency of 73 Hz is a close match to the fundamental frequency of the shower with 2.40 meters high, It is important to note that the fundamental frequency is not the only frequency that could resonate in the shower, other overtones and harmonics might also resonate.
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Question- Someone is singing in a shower that measures 2.40 meters from floor to ceiling, and notices their voice causes the shower to resonate with a fundamental frequency of 73 Hz. Here, this situation is an example of? justify. The given situation is an example of which physics phenomenon and justify the given example with some details.
chapter 5 - problem 30. a negative charge is placed at the center of a ring of uniform positive charge. what is the motion (if any) of the charge? what if the charge were placed at a point on the axis of the ring other than the center?
Answers
Answer:
There is no motion of the charge except along the axis of the ring.
(All charges on the ring are equivalent, with no net force perpendicular to the axis of the ring)
The electric potential of the axis of the ring decreases as the charge is moved away from the center of the ring,
The force on the negative charge will always be directed towards the center of the ring. (It would take work to move the charge "away" from the ring)
A swimmer is capable of swimming 0. 70 m/s in still water. At what upstream angle must the swimmer aim, if she is to arrive at a point directly across a 65 m wide river whose current is 0. 60 m/s ?
Answers
The swimmer must aim at an upstream angle of 27.7 degrees.
B. To solve for the upstream angle, we need to use the vector addition of velocity.The velocity of the swimmer in still water is v1 = 0.7 m/s. The velocity of the current is v2 = 0.6 m/s.
To arrive directly across the river, the swimmer must aim at an angle such that the velocity of the current and the velocity of the swimmer are equal in magnitude but opposite in direction.
The velocity of the swimmer relative to the current is v1-v2 = 0.1 m/s.
We can then use the law of cosines to find the angle between the velocity of the swimmer and the velocity of the current:
cos(theta) = (v1^2 + v2^2 - d^2)/ 2v1v2
Where d is the width of the river (65 m) and theta is the angle between the velocity of the swimmer and the velocity of the current.
Solving the above equation we get thet a = 27.7 degrees.
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Consider these two less-than-desirable options. In the first you are driving 30 mph and crash head-on into an identical car also going 30 mph in opposite directions. In the second option you are driving 30 mph and crash head-on into a stationary brick wall. In neither case does your car bounce back from the thing it hits, and the collision time is the same in both cases. Which of these two situations would result in the greater impact force on your car?.
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The change in momentum is nothing but impulse. In both cases, the change in momentum is the same and hence the impulse for both is the same.
The impulse is the average force multiplied by time interval.
I=FAt
Here, F is the average force and At is the time interval.
The collision time is the same and hence the average force in both cases is the same. Any body that is in motion has momentum. A force acting on a body will change its momentum. The momentum of a particle is defined as the product of the mass multiplied by the velocity of the motion. Let the variable represent momentum.
Hence, the correct option is b.
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What does the number of ""remaining iron filings"" tell you about the strength of the magnet?
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The magnet's weakness is indicated by the iron filings that are still present.
The magnetic field is entirely encapsulated by ferromagnetic materials, such as iron filings. The north and south poles do make up these bodies.
When these iron fillings come into contact with the magnet, the like poles of the magnet and iron fillings repel one another.
And while the iron fillings disperse around the magnet, they stay inside the magnetic field. Iron filings sticking to the magnet serve as evidence that the opposite poles are attracted to one another.
Simply put, when two magnetic materials come into contact, the North Pole attracts the South Pole and repels the North Pole.
In this way, iron fillings show off a fantastic experiment.
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what is the direction of the net electric field at point p due to the two charges? give angle counterclockwise from x.
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The direction of the net electric field at point P is the vector sum of the electric fields of the two charges.
To determine the direction, use the law of cosines to calculate the angle between the two electric fields and add it to the direction of the first electric field. The angle is measured counterclockwise from the x-axis.
The electric field by Coulomb’s LawThe electric field at any point due to a point charge is given by E = kq/r2, where k is the Coulomb’s constant, q is the charge and r is the distance from the charge. By summing the electric fields of the two charges, we can obtain the net electric field at point P.
This net electric field is the vector sum of the two electric fields, and its direction can be determined by using the law of cosines to calculate the angle between the two electric fields and adding it to the direction of the first electric field. The angle between the two electric fields is measured counterclockwise from the x-axis, and thus the direction of the net electric field at point P is the sum of this angle and the direction of the first electric field.
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when a head light on a car has to be replaced do the two lights have to be tested to be in proper aignment?
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Yes, it is recommended to align both headlights of a car after replacing one of them. Proper headlight alignment is important for ensuring safe driving and optimal visibility on the road.
what is the importance of headlights in cars ?
headlights are a crucial component of a vehicle's lighting system, serving both functional and aesthetic purposes. Properly functioning headlights are essential for safe and efficient driving, especially in low-light conditions.
Yes, it is recommended to align both headlights of a car after replacing one of them. Proper headlight alignment is important for ensuring safe driving and optimal visibility on the road. When one headlight is replaced, the alignment of the headlights may change, affecting the way light is projected on the road ahead. By aligning both headlights, you can ensure that the beam pattern is symmetrical and that the lights are aimed correctly, providing better visibility and avoiding glare for other drivers on the road. This is especially important for vehicles with bi-xenon or adaptive lighting systems. A professional mechanic or a service centre with the proper equipment can perform the headlight alignment.
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what is the main source of energy to produce wind?
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According to question, Solar Energy is the main source of energy to produce wind .
The distribution of heat between the equator and poles of the earth, as well as the planet's continuous rotation, are the two fundamental elements that influence wind patterns. Earth's main energy source is the sun.
When the sun heats the atmosphere differently in different parts of the atmosphere, wind is created. Warmer air expands as a result, resulting in lower pressure where it is warm than where it is cooler. Wind drives the rotor blades of contemporary wind turbines, which transform kinetic energy into rotational energy.
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