The needle of a compass will always lies along the magnetic
field lines of the earth.
A magnetic declination at a point on the earth’s surface
equal to zero implies that
the horizontal component of the earth’s magnetic field line
at that specific point lies along
the line of the north-south magnetic poles.
The presence of a
current-carrying wire creates an additional
magnetic field that combines with the earth’s magnetic field.
Since magnetic
fields are vector quantities, therefore the magnetic field of
the earth and the magnetic field of the vertical wire must be
combined vectorially.
Where:
B1 = magnetic field of the earth along the x-axis = 0.45 × 10 ⁻ ⁴ T
B2 = magnetic field due to the straight vertical wire along the y-axis
We can calculate for B2 using Amperes Law:
B2 = μ₀ i / [ 2 π R ]
B2 = [ 4π × 10 ⁻ ⁷ T • m / A ] ( 36 A ) / [ 2 π (0.21 m ) ]
B2 = 5.97 × 10 ⁻ ⁵ T = 0.60 × 10 ⁻ ⁴ T
The angle can be
calculated using tan function:
tan θ = y / x = B₂ / B₁ = 0.60 × 10 ⁻ ⁴ T / 0.45 × 10 ⁻ ⁴ T
tan θ = 1.326
θ = 53°
The compass needle points along the direction of 53° west of
north.
The compass needle near a current-carrying wire aligns northwest due to the combined influence of the Earth's northward magnetic field and the wire's westward magnetic field at that location.
A compass needle, which is a tiny bar magnet, aligns with the magnetic field it experiences. In this scenario, both the Earth's magnetic field and the magnetic field created by a vertical current-carrying wire influence the needle.
The magnetic field produced by a straight current-carrying wire is given by the right-hand rule: point your thumb in the direction of the current (downward) and curl your fingers around the wire.
Your fingers show the direction of the magnetic field; moving in circles around the wire.
At the position of the compass (21 cm south of the wire), the wire's magnetic field will circulate clockwise when viewed from above.Thus, directly south of the wire, the magnetic component from the wire is directed towards the west.The Earth's magnetic field at this location points northward with a horizontal component of 0.45 × 10⁻⁴T.The resultant magnetic field at the compass position is the vector sum of the Earth's northward field and the wire's westward field.Therefore, the compass needle will align with this resultant field, pointing in a direction northwest.
An object launched from ground level at a velocity of 5 m/sat a 37 degree angle. Neglecting air resistance, what is the speed of the object when it hits the ground?
a)9 m/s
b) 5 m/s
c)8 m/s
d) 2 m/s
In physics, an object launched and falling freely (ignoring air resistance) will hit the ground with the same speed it had upon launch. Therefore, if the object was launched at 5 m/s, it will also hit the ground at 5 m/s.
Explanation:The subject of this problem is the physics principle of conservation of energy, specifically kinetic energy. An object that has been launched and is falling freely (neglecting air resistance) will have the same speed when it hits the ground as it had when it was launched from the ground. This is because the gravitational potential energy it gains while ascending is completely converted back to kinetic energy as it descends. Consequently, if an object was launched from ground level at a velocity of 5 m/s at a 37-degree angle, it will hit the ground with the same speed of 5 m/s.
Therefore, the answer is (b) 5 m/s.
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A large balloon is initially filled to a volume of 25.0 l at 353 k and a pressure of 2575 mm hg. what volume of gas will the balloon contain at 1.35 atm and 253 k? 6) _______
a.45.0 l
b.11.4 l
c.87.5 l
d.22.2 l
e.58.6 l
The final volume of the balloon at the given temperature is 45 l.
General gas lawThe volume of the balloon is determined by applying general gas law as shown below;
V₂ = (V₁P₁T₂)/(T₁P₂)
Where;
P₁ = 25 L
V₁ = 2575 mmHg
T₁ = 353 K
P₂ = 1.35 atm = 1206 mmHg
T₂ = 253 K
V₂ = ?
The final volume of the balloon at the given temperature is calculated as follows;
V₂ = (25 x 253 x 2575)/(353 x 1026)
V₂ = 45 l
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If a tank filled with water contains a block and the height of the water above point A within the block is 0.6 meter, what's the pressure at point A? A. 7.84 kPa B. 3.85 kPa C. 9.80 kPa D. 5.88 kPa
If a tank filled with water contains a block and the height of the water above point A within the block, then the pressure will be equal to 5.88 Kpa. Hence, option D is correct.
What is Pressure?In the natural sciences, pressure is defined as the vertical unit area of force or even the strain at a particular location inside a confined fluid. The force multiplied by the area throughout which it is exerted, and one pound per square inch, determines the pressure that a 42-pound box with an 84-square-inch bottom will impose on a surface.
Atmospheric pressure, which is at sea level is roughly 15 pounds per square inch, is the amount of weight that the atmosphere exerts on each unit area of the Earth's surface.
As per the given information in the question,
ρ = 1000 kg/m³
g = 9.8 m/s²
h = 0.6 m
Use the formula of pressure,
p = ρ × g × h
p = 1000 × 9.8 × 0.6
p = 5880 Pa or,
p = 5.88 Kpa
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The nature of a volcanic eruption is determined largely by the ________ of the magma.
Answer:
Chemistry
Explanation:
The composition of magma, the temperature of magma and the amount of dissolved gasses in the magma are all responsible for the nature of eruption.
Magma could be composed of dust, blocks, bombs, cinders and other gases.
The nature of eruption also depends on the temperature as magma could erupt at varying temperatures from 700[tex]^{2}[/tex]C to 1300[tex]^{2}[/tex]C and even at higher temperatures reaching 1600[tex]^{2}[/tex]C.
How much electricity does an electric oven use/?
The electricity usage of an oven is found by multiplying the power rating in kilowatts by the duration in hours. For a 3600 W oven used for 1 hour, the consumption is 3.6 kWh. The cost can be calculated by multiplying the energy consumed by the unit price of electricity.
The electricity usage of an electric oven can be calculated by multiplying its power rating by the amount of time it is used. For instance, if an oven with a power rating of 3600 W (watts) is used for baking a cake for 1 hour, the energy consumption can be determined using the formula:
Energy consumption (kWh) = Power rating (kW) times Time used (h)
Since 1 kW = 1000 W, we convert the power rating to kilowatts (kW) first:
3600 W = 3.6 kW
So, the energy consumed by the oven for baking the cake would be:
3.6 kW times 1 hour = 3.6 kWh (kilowatt-hours)
This is the energy consumption for that specific use. To calculate the cost, you can multiply the energy consumed by the unit price of electricity, which varies depending on the region and the service provider. For other appliances with different power ratings and usage times, the same formula applies, with the hours adjusted accordingly. The duty cycle, or how often an appliance is on, also significantly impacts energy usage. A microwave oven, for example, might have a high-power rating but generally uses less energy overall because it's on for much shorter periods compared to something that might run continuously, like a television tuner box.
how to calculate the average velocity, in m/s.
The moon has a mass of 7.35 e 22 kg and is located 3.84 e 8 meters from the earth. if ellen, an earthling, has a mass of 47 kg, what is the gravitational force between ellen and the moon?
Answer:
The gragitacional force is 1.56 10⁻³ Kg
Explanation:
The gravitational force between two bodies is proportional to their mass and inversely proportional to the square of the distance between them, is described by the equation
F = G m₁ m₂ / r²
With G being the universal gravitation constant with a value of 6.67 10⁻¹¹ Nm²/Kg², as they give us the mass of the bodies and the distance between them, we can calculate the force.
F = 6.67 10⁻¹¹ 47 7.35 10²² / (3.84 10⁸)²
F = 1.56 10⁻³ Kg
lo cuales muy pequeño
A major benefit of the daguerreotype process is that ________.
Daguerreotype is defined as the first practical photographic process which was introduced in Paris on January 7, 1839. To make the image permanent, Daguerre used salt solution. The result of his introduced process is a finely defined image with surface which is delicate. The major benefit of daguerreotype is if the images are correctly preserved, the pictures could last forever. Aside from this, since it produces superior quality of outline, it is thus suitable for portraitures.
Final answer:
The major benefit of the daguerreotype process was its ability to produce sharp, clear images with reduced exposure time, making photography more accessible and affordable for the general public in the 19th century.
Explanation:
A major benefit of the daguerreotype process is that it produced exceptionally sharp and clear images with reduced exposure time compared to previous photographic methods. The daguerreotype, invented by Louis Daguerre in 1839, utilized a polished copper plate coated with silver iodide to capture images. Despite the limitation of creating only a single, non-reproducible image, the daguerreotype was the first widely available and relatively affordable photographic technique for the general public, fulfilling the burgeoning middle-class demand for portraiture during that era.
Drive at a speed that is _____ and _______ at all times. this means showings careful or ______ judgment.
By definition, work is a force that's applied over a specific
a. weight.
b. period of time.
c. amount of horsepower.
d. distance.
the answer for this one will be D.
The average adult heart pumps about 84./mls of blood at 72 beats per minute. suppose you need to calculate how long it would take the average heart to circulate 6600.ml of blood.
The heart takes [tex]\boxed{79{\text{ s}}}[/tex] to circulate [tex]6600{\text{ mL}}[/tex] of blood.
Explanation:
The average rate of blood pumping by adult heart at rate of [tex]72[/tex] beats per minute is [tex]84{\text{ }}{{{\text{mL}}}\mathord{\left/{\vphantom{{{\text{mL}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] .
Our aim is to obtain the time required by heart to circulate [tex]6600{\text{ mL}}[/tex] of blood.
The rate [tex]84{\text{ }}{{{\text{mL}}}\mathord{\left/{\vphantom{{{\text{mL}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] can be referred as the adult heart pumps [tex]84[/tex] milliliters of blood in one second at the rate of [tex]72[/tex] beats per minute.
Consider [tex]t[/tex] be the time required for heart to pump [tex]6600{\text{ mL}}[/tex] blood.
Since, in one second the heart pumps [tex]84{\text{ }}{{{\text{mL}}}\mathord{\left/{\vphantom{{{\text{mL}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] and this can be written as,
[tex]84{\text{ mL}}\Rightarrow 1{\text{ second}}[/tex]
In [tex]t[/tex] second the heart will pump [tex]6600{\text{ mL}}[/tex] of blood and this can be written as,
[tex]6600{\text{ mL}}\Rightarrow t{\text{ second}}[/tex]
The value of [tex]t[/tex] is calculated as shown below.
[tex]\begin{aligned}t&=\frac{{6600{\text{ mL}}\times 1{\text{ second}}}}{{84{\text{ mL}}}}\\&=\frac{{6600}}{{84}}{\text{ seconds}}\\&=78.57{\text{ seconds}}\\&\approx 79{\text{ s}}\\\end{aligned}[/tex]
Therefore, it takes heart to circulate [tex]6600{\text{ mL}}[/tex] of blood in approximately [tex]79{\text{ s}}[/tex].
Since, blood can flow so it is called as fluids. Fluid has no fixed shape and having definite volume.
The expression for density for any fluid can be written as,
[tex]\rho=\frac{m}{V}[/tex]
Here, [tex]{{\rho }}[/tex] is density, [tex]m[/tex] is the mass of the fluid and [tex]V[/tex] is the volume of fluid.
Thus, the heart takes [tex]\boxed{79{\text{ s}}}[/tex] to circulate [tex]6600{\text{ mL}}[/tex] of blood.
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Fluids
Keywords:
Heart, pumps, 84 mL/s, blood, 72 beats, minute, long, average , circulate, 79 s, 6600 mL, fluids, property, calculate.
A box is being pulled by two ropes. Eduardo pulls to the left with a force of 500 N, and Clara pulls to the right with a force of 200 N. The box moves because of the two forces applied to it. Leon records the forces and direction of the forces acting on the box in his lab notebook. In the table, which force has the wrong direction?
Tension by Eduardo
Tension by Clara
Kinetic friction
Gravity
Answer:
kinetic friction
Explanation:
The method of body composition measurement that sends a small current through the body to measure the resistance based on percentage of body water is
Can a vector have nonzero magnitude if a component is zero?
A red apple will appear black when illuminated with
An electrical motor spins at a constant 2035 rpm. if the armature radius is 5.862 cm, what is the acceleration of the edge of the rotor?
The acceleration at the edge of the rotor in the electrical motor spinning at a constant 2035 rpm with an armature radius of 5.862 cm is approximately 267476.4 m/s², found using the principles of centripetal acceleration in physics.
Explanation:To solve this question, we first need to convert the given motor speed from revolutions per minute (rpm) to radians per second, which is the SI unit for angular velocity. This is done by multiplying by 2π, which is the radian equivalent of one revolution, and dividing by 60, the number of seconds in a minute. In this case, our conversion gives us a value for the angular velocity ω of approximately 213.2 rad/s.
We then use the formula for centripetal acceleration: ac = rω². Here, r is the radius of the armature (0.05862 meters using SI units), and ω is the angular velocity we converted earlier. Computing these, we find the centripetal acceleration ac to be around 267476.4 m/s².
Therefore, the acceleration at the edge of the rotor in the electrical motor spinning at a constant 2035 rpm with an armature radius of 5.862 cm is approximately 267476.4 m/s².
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People with long-term clinical depression tend to have more heart disease because A. people who are clinically depressed eat foods that are higher in fat. B. depressed people don't care about their heart health. C. the levels of heart-damaging chemicals in the blood are generally higher in depressed people. D. exercise is too difficult for people who are depressed.
Answer:
Option (A).
Explanation:
Depression may be defined as physical condition in which the individual may get depress and loss the interest in any activity. Depression can leads to various mental health problems in the individual.
The depressed people eat foods that include more content of food. The high fatty food causes the heart related problems in the organisms and may completely block the functioning of heart.
Thus, the correct answer is option (A).
A car travels south at 30 m/s for 5 minutes. What is its velocity
Answer:
Explanation:
Velocity = 30 (-j) m/s
Displacement = velocity x time = 30 x 5 x 60 = 9000 m South = - 9000 j m
The velocity of the car traveling south for 5 minutes is 30 m/s is 9000 m and acceleration of the car is 0.1 m/s² (if its direction is changing).
What is velocity ?Velocity of an object is the distance travelled by the object per unit time. Velocity is a vector quantity having both direction and magnitude. It is the ratio of distance to the time taken for travel.
Given that,
velocity v = 30 m/s
time t = 5 minutes
t = 5 × 60 = 300 seconds
Then, distance travelled = v × t
d = 300 s × 30 m/s =9000 m
Acceleration of the object is the rate of change in its velocity. If the object is moving with constant speed and there is a change in direction there will be an acceleration.
a = v/t
a = 30 m/s/300 s = 0.1 m/s².
Therefore, the distance travelled by the car is 9000 m and its acceleration is 0.1 m/s².
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Your question is incomplete. But your complete question probably was:
A car travels south at 30 m/s for 5 minutes. What is distance of travel and acceleration ?
Which classification scheme is based on the brightness of a star as it appears to you in the night sky?
the measurement of an exoplanet radius is measured in units compared to
Exoplanet radii are measured in comparison to known planetary sizes to understand their scale and characteristics.
Exoplanet radii are typically measured in units compared to either Earth's radius or the radius of Jupiter, which are used as reference points in astronomical studies.
The comparison of exoplanet radii to these well-known planetary sizes helps scientists understand the scale and characteristics of these distant worlds.
For example, if an exoplanet is said to have a radius of 0.5 times that of Jupiter, it means the exoplanet's radius is half the size of Jupiter's radius.
Why does a balloon that is rubbed on someoneâs shirt stick to a wall at a party?
A particular wave can be described as transverse and self-propagating. What type of wave could it be?
A sound wave
A seismic wave
An ocean wave
A radio wave
Answer:
A radio wave
Explanation:
Self propagating waves are those type of waves in which wave will induce the effect of by its own components.
One of the best example for this is Electromagnetic waves.
In electromagnetic waves electric field components and magnetic field components will oscillate perpendicular to each other and they both are perpendicular to the direction of propagation of wave also.
So here the disturbance due to electric field and magnetic field is since perpendicular to wave propagation so it is known as transverse wave.
So here we can say that correct answer must be an electromagnetic type of wave
so it must be
A Radio Wave.
A certain car is capable of accelerating at a rate of 10.60 m/s 2 . how long does it take for this car to go from a speed of 55 mi/h to a speed of 60 mi/h
Final answer:
To calculate the time required for a car to accelerate from 55 mi/h to 60 mi/h with an acceleration of 10.60 m/s², convert the speeds to m/s, then use the formula Δt = (ο - νi) / a to find that it takes approximately 0.2106 seconds.
Explanation:
The question involves calculating the time it takes for a car to accelerate from 55 miles per hour (mi/h) to 60 miles per hour (mi/h) given an acceleration rate of 10.60 meters per second squared (m/s2). First, convert the speeds from miles per hour to meters per second. One mile per hour is approximately 0.44704 meters per second. Therefore, 55 mi/h is about 24.5872 m/s, and 60 mi/h is about 26.8224 m/s.
To find the time (Δt) taken to accelerate from the initial speed (νi) to the final speed (ο), one can use the formula Δt = (ο - νi) / a, where a is the acceleration. Plugging in the given values, Δt = (26.8224 m/s - 24.5872 m/s) / 10.60 m/s2 = 0.2106 seconds. Therefore, it takes approximately 0.2106 seconds for the car to accelerate from 55 to 60 miles per hour.
A 750.0-kg boulder is raised from a quarry 125 m deep by a long uniform chain having a mass of 575 kg. this chain is of uniform strength, but at any point it can support a maximum tension no greater than 2.50 times its weight without breaking. (a) what is the maximum acceleration the boulder can have and still get out of the quarry, and (b) how long does it tak
Answer:
Part a)
[tex]a = 0.82 m/s^2[/tex]
Part b)
[tex]t = 17.44 s[/tex]
Explanation:
Part a)
Maximum tension that is obtained by the rope is 2.5 times the weight of the rope
So here we know that
mass of the boulder = 750 kg
mass of the chain = 575 kg
now total mass of the boulder and chain = 750 kg + 575 kg
[tex]M = 1325 kg[/tex]
Now we have maximum tension in the rope is given as
[tex]T = 2.5 \times 575 \times 9.8[/tex]
[tex]T = 14087.5 N[/tex]
now from Newton's 2nd law we have
[tex]T - Mg = Ma[/tex]
[tex]14087.5 - (1325\times 9.81) = 1325 a[/tex]
[tex]a = 0.82 m/s^2[/tex]
Part b)
Time taken by the boulder to raise by 125 m depth
we can use kinematics and we will assume here that it will start from rest and accelerate at above maximum value that we found in part a)
so by kinematics
[tex]d = v_i t + \frac{1}{2}at^2[/tex]
[tex]125 = 0 + \frac{1}{2}(0.82)t^2[/tex]
[tex]t = 17.44 s[/tex]
When you make a cell phone call, which type of electromagnetic wave is most likely transmitting the signal?
microwaves
A microwave is an electromagnetic wave with a wavelength in the range 0.001–0.3 m, shorter than a normal radio wave but longer than an infrared wave.
In thinking of an inductor as a circuit element, it is helpful to consider its limiting behavior at high and low frequencies. at one extreme, the inductor might behave like a short circuit, that is, like a resistor with almost no resistance (an ideal wire) having essentially no voltage drop across it no matter what the current. alternatively, the inductor might behave like an open circuit, that is, like a resistor with large resistance so that essentially no current will flow no matter what the applied voltage. based on the formula you obtained for the reactance, how does an inductor behave at high and low frequencies?
An inductor is just a coil of wire with magnetic properties. It is a device that stores electromotive force or energy in the form of magnetic field. A current yields a magnetic field around it through a conductor. The pattern of flux for this magnetic field would be the number of concentric circle perpendicular to the detection of current. The capacity of the inductor is affected by the number of coils which would give more inductance, the material that is used for the coil, the cross sectional area of the coil and the length of the coil. For instance you have an 8 meters diameter coil with seven loops of wire. You place the coil on an area where there is a parked car. The inductance of the coil will be much larger compared to the coil without a parked car nearby because of the presence of the steel from the car. It changes the magnetic field of the coil because it acts as a core of the inductor.
Which scientist first proposed physical laws to mathematically describe the effect of forces on the motions of bodies?
A packaging company purchases corrugated cardboard boxes in which to pack its goods. The boxes are not made up when they are delivered, but are flat,A bundle of these boxes measures 0.60 m x 0.50 m x 0.20 m and has a
weight of 72 N. Calculate the pressure exerted by the cardboard boxes
To calculate the pressure exerted by cardboard boxes, divide the force due to gravity (weight) by the area over which it is applied. Using the given weight of 72 N and the calculated base area of 0.30 m², the pressure exerted by the boxes can be determined.
Explanation:The question relates to calculating the pressure exerted by a stack of corrugated cardboard boxes on a surface. Pressure is defined as the force applied per unit area. The formula to calculate pressure (P) is P = F / A, where F is the force in newtons (N) and A is the area in square meters (m²). Given that the weight of the boxes is 72 N (which is the force due to gravity acting on them) and the base area of the boxes is calculated from the provided dimensions (0.60 m x 0.50 m = 0.30 m²), the pressure exerted can be calculated by dividing the force by the area over which it is applied.
To find the pressure, we thus use: P = 72 N / 0.30 m². Executing this calculation provides the pressure exerted by the cardboard boxes on the surface they are lying on.
What is the average rate of formation of br2?
A thin film of oil (n = 1.27) is located on smooth, wet pavement. when viewed perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no blue light at 427 nm. how thick is the oil film?