Answer: mass is both a property of a physical body and a measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. weight is the weight of an object is the force acting on the object due to gravity. and gravity is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward one another.
Explanation: and that is mass weight and gravity
2 An air rifle pellet of mass 2 g is fired into a block of modelling clay mounted
on a model railway truck. The truck and modelling clay have a mass of
0.1 kg. The truck moves off after the pellet hits the modelling clay with an
initial velocity of 0.8 m/s.
State the momentum of the pellet just before it hits the modelling clay.
c Use your answers to a and b to calculate the velocity of the pellet just
before it hits the modelling clay.
d State any assumptions you made in this calculation.
The momentum of the pellet just before it hits the modelling clay is 0.0816 kg-m/s the velocity of the pellet just before it hits the modelling clay is 40m/s.
Assumption:
1)the pallet embeds into the clay.
A perfectly inelastic collision is one where the two objects that collide together become one object, losing the maximum amount of kinetic energy.
e=0
In perfectly inelastic collision the momentum is conserved.
given:
velocity of the truck + clay = 0.8m/s
mass of the truck + clay = 0.1 kg
mass of the pallet = 2g=0.002kg
a)
now since the example is of perfectly inelastic collision the momentum will be conserved .
i.e. momentum before collision = momentum after collision
momentum of pallet = momentum of( truck + clay)
momentum of pallet = (0.1+0.002)×0.8
momentum of pallet =0.0816 kg-m/s
b)
momentum before collision= mass of pallet ×velocity of pallet + mass of truck × velocity of truck
velocity of pallet =0.0816/0.002
velocity of pallet =40m/s
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in a machine shop, a hydraulic lift is used to raise heavy equipment for repairs. the system has a small piston with a cross-sectional area of 0.045 m2 and a large piston with a cross-sectional area of 0.239 m2 . an engine weighing 2000 n rests on the large piston. what force must be applied to the small piston in order to lift the engine? answer in units of n.
The force applied to the small piston in order to lift the engine would be 376.56 N.
What is pressure?
The total applied force per unit of area is known as the pressure.
The pressure depends both on externally applied force as well the area on which it is applied.
As given in the problem,
the cross-sectional area of the small piston =0.045 m2
the cross-sectional area of the large piston =0.239 m2
weight of the engine = 2000 N
By using the Pascal law,
Force /0.045 = 2000/0.239
Force = 376.56 N
Thus, the force applied on the small piston would be 376.56 N
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A conductor carrying a current I = 15.0 A is directed along the positive x axis and perpendicular to a uniform magnetic field. A magnetic force per unit length of 0.120 N/m acts on the conductor in the negative y direction. Deter- mine (b) the direction of the magnetic field in the region through which the current passes.
The magnitude of the magnetic field in the region through the current passes is 8×10⁻³ T.
What is a magnetic field?The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.
It is given that:
A conductor carrying a current I = 15.0 A is directed along the positive x-axis and perpendicular to a uniform magnetic field.
As we know,
F = ilB
i = 15 A
F/l = 0.120 N/m
B = (F/l)(1/i)
B = 0.120(1/15)
B = 8×10⁻³ T
Thus, the magnitude of the magnetic field in the region through the current passes is 8×10⁻³ T.
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If I use the author's last name in my sentence, then _________________ (Choose 2)
Group of answer choices
I only put the page number in parentheses.
I do not need to use it in the in-text citation.
I also need to use it in the in-text citation.
I put the year of publication and the page number.
I put the author's last name, a comma, and the publication date.
Even if in a piece of writing, you happen to use the author's last name in my sentence, you also need to use it in the in-text citation.
What is referencing?In academic writing, it is often important to quote the sources that one used in writing up the text. Failure to give accurate citation could be taken as plagiarism by the assessors.
Hence, even if in a piece of writing, you happen to use the author's last name in my sentence, you also need to use it in the in-text citation.
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If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?
The net charge enclosed within the electric field is positive when more electric field lines leave a gaussian surface than enter it.
Remember, that a Gaussian surface is a three-dimensional closed surface that determines the flux of a vector field, often the gravity field, electric field, or magnetic field. A surface with more electric field lines departing than coming in indicates a net positive charge. It is important to note that E-field lines begin with positive charges and end with negative charges. This is characteristic of most gaussian surfaces. So, if more electric field lines exit than enter a gaussian surface, we may deduce that the enclosing net charge is generally positive.
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How long did it take Fernando to drive to
Kroger if he went west at a constant rate of 30
m/s. Assume Kroger was located 1680 m away.
Speed is a scalar quantity that describes "how fast an object is moving." The rate at which an object travels a distance can be thought of as its speed. The time taken by Fernando is 56 s.
Speed is only the rate at which motion changes. Or just the distance a body travels in a unit of time. Velocity is the rate at which an object's position changes and it takes direction into account. Speed has just magnitude because it is a scalar quantity.
The expression used to calculate speed is:
Speed = Distance / Time
Time = Distance / Speed
t = 1680 / 30
t = 56 s
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At what temperature is the temperature in degrees fahrenheit equal to twice the temperature in degrees celsius?.
The temperature in degrees Fahrenheit is 320 equal to twice the temperature in degrees Celsius.
What is a temperature scale?The measurement of temperature as a physical quantity. In order to measure temperature, empirical scales take into account useful and trustworthy factors like the freezing and boiling temperatures of water.
The temperature will be solved as below:-
F = 2C
The temperature in degree centigrade is:-
C = ( 5 / 9 ) ( F - 32 )
Put the value in the equation above:-
F = 2 { 5 / 9 [ F -32 ]}
F = ( 10 / 9 ) [ F - 32 ]
( 9 / 10)F = F - 32
( 9 / 10)F - F = 32
( -1 / 10)F = -32
F = 320°
Therefore, the temperature in degrees Fahrenheit is 320 equal to twice the temperature in degrees Celsius.
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Scientific theories are able to be changed true or false
Answer:
true
Explanation:
The name of the festival or custom
Answer: harvest moon
During the harvest season, they would worship the full moon, giving thanks for a plentiful harvest. The women in each family would prepare a table full of newly harvested rice and fruit, in an ancient tradition called 'charye. ' The origins of Chuseok can be traced back to this custom.
ceremonies
hope this helps
Imagine that the entire Sun, of mass MS , collapses to a sphere of radius Rg such that the work required to remove a small mass m from the surface would be equal to its rest energy mc² . This radius is called the gravitational radius for the Sun.(a) Use this approach to show that Rg = GMS / c² .
It is proved for gravitational radius that Rg=GMs/c^2 .
Given,
The mass of sun = Ms
Sphere of radius = Rg
Sun collapses to a sphere such that the work required to remove a small mass (m) from the surface would be equal to its rest energy mc^2 .
The given radius (Rg) is called as gravitational radius for sun.
We know,
gravitational potential energy Ug = G ×Ms×m/Rg
given, the rest energy, E =mc^2
As it is given that work required to remove small mass is equal to rest energy,
thus, Ug=E
G×Ms×m/Rg = mc^2
Rg =GMs/c^2
Hence, it is proved for gravitational radius that Rg=GMs/c^2 .
What is gravitational potential energy?Total work done in assembling bodies together,in their respective places, is called gravitational potential energy of the system.
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A table tennis ball with a mass of 0.003 kg and a soccer ball with a mass of 0.43 kg are both set in motion at 16 m/s. Calculate and compare the momenta of both balls.
Answer:
Momentum of tennis ball = 0.048
Momentum of soccer ball = 6.88
momentum of soccer ball is greater than that of tennis ball.
Explanation:
For table tennis ball,
Momentum of tennis the ball is given by,
Momentum = mass × volume
Momentum = 0.003 × 16
Momentum = 0.048
For table soccer ball,
Momentum of the soccer ball is given by,
Momentum = mass × volume
Momentum = 0.43 × 16
Momentum = 6.88
Thus, momentum of soccer ball is greater than that of tennis ball.
Which type of energy does not describe potential energy being changed into kenetic energy
The type of energy that does not describe potential energy being changed into kinetic energy is the energy that exists in the Compression of the spring.
Usually, in many energy sources, the potential energy is changed into kinetic energy but no such energy transmission takes place when a spring is compressed.
Potential energy is considered as the stored energy occupied by an object or system by virtue of its respective position or by the arrangement of parts. However, this energy is not affected by the environment existing outside of the system or subject including air or height. Potential energy is changed into kinetic energy is also not described in the compression of rubber foam.
On the other hand, the term kinetic energy is termed as the energy of a particular object or particle of a system that is in motion. Contrary to several peculiarities of potential energy, the kinetic energy of a particular object is in relative position to other stationery as well as moving objects present in its own environment which is an immediate type. In general, the kinetic energy of an object will be of higher value if the object is placed at a distance of greater height.
If we take the case of Potential energy, it is not all transferrable in nature and will depend on the height or the distance and also the mass of the object. On the other hand, Kinetic energy can be easily transferable from one moving object to another which includes the vibrational and rotational types of energy and it depends on the speed, velocity, and mass of the object.
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nerve impulses are carried along axons, the elongated fibers that transmit neural signals. we can model an axon as a tube with an inner diameter of 10 μm. the tube wall is insulated, but the fluid inside it has a resistivity of 0.50 ω⋅m.
here,
the inner diameter , d = 10 um = 10 * 10^-6 m
radius , r = d/2 = 5 * 10^-6 m
resistivity , p = 0.5 ohm.m
length , l = 6 mm = 0.006 m
the resistance , R = p * l /area
R = p * l /( pi * r^2)
R = 0.5 * 0.006 /(pi * ( 5 * 10^-6)^2) ohm
R = 3.82 * 10^7 ohm (Answer)
the resistance of a wire is 3.82 * 10^7 ohm
Neurons, or nerve cells that transmit nerve impulses, consist of a cell body, an axon, and a few dendrites. Signals travel through synapses, where the axon of one neuron meets the dendrites of another neuron, using chemicals called neurotransmitters.
An electrical signal that travels along a nerve fiber in response to a stimulus and conveys the recording of sensations from receptors or instructions to effectors: Propagation of an action potential along the length of a neuron.
Differential charges across the plasma membrane of neurons generate nerve impulses. How does this charge difference come about? The response contains ions, which are charged atoms or molecules.
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In materials with nickel, iron, or cobalt, what moves around inside, creating the magnetic field?
A.protons
B.neutrons
C.electrons
D.All of the above
Will the following pairs of atomic orbitals interact constructively, destructively, or with no net overlap if they approach along the indicated axis?.
If the atomic orbitals are oppositely charged and are out-of-phase combinations then they interact destructively.
In Chemistry, molecular orbital theory(MOT) indicates the design of electron movement in a molecule.
The theory also states that electrons have wave-like nature which occurs as a result of the combination of the atomic wavefunction.
Theory suggests that there are two types of orbitals in a molecule: bonding orbitals (BO) and anti-bonding orbitals(ABO).
More are the chances of molecule stability if the electrons are present in bonding orbitals rather than anti-bonding orbitals.
Molecular orbitals are produced by the overlapping of atomic orbitals. When only the crusts of waves overlap in molecule orbitals they form constructive interference while overlapping of troughs causes destructive interference.
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A boy walks 25 meters north along a sidewalk before realizing that he has walked in the wrong direction. He turns around and walks 48 m south. What is the distance he traveled?
Collin is making s’mores by a campfire. He takes a graham cracker that has a mass of 7 grams and adds a chocolate candy bar that has a mass of 10 grams. He places a roasted marshmallow with a mass of 2 grams on top of the chocolate bar. Describe how Collin can determine the mass of the s’more using this information.
Collin can use stoichiometry chemistry to determine the mass of the s'more using this information.
The study of quantitative ratios or relationships between two or more substances undergoing a physical change or a chemical change is known as stoichiometry (chemical reaction). The word is derived from the Greek words "element" and "metron" in the Greek language (meaning "to measure"). Calculations involving stoichiometry typically involve the mass or volume of products and reactants.
The law of conservation of mass, which holds that matter cannot be generated or destroyed but can only be changed from one form to another, is explained by the basic mathematical principle of stoichiometry. A chemical reaction needs a balanced stoichiometry in order to start and proceed to completion.
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The charge per unit length on a long, straight filament is -90.0μC/m . Find the electric field (b) 20.0cm
The electric field for 20 cm is 8.09 MN/C
Length of the straight filament = (20cm) (1m/100cm) = 0.2
Electric field for the straight conductor = [tex]E = \frac{2k_{e} \lambda}{r}[/tex]
E = [2(8.99 × 10^9 N·m^2/C^2)(90.0 × 10^-6 C/m)] / 0.2 m
E = 8.09 MN/C
The electric field is directed radially inward, toward the filament.
The electric field is a force produced by a charge near its surroundings. This force is exerted on other charges when brought in the vicinity of this field. SI unit of the electric field is N/C (Force/Charge).
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please help asap times!! thank tub in advance!
As the speed of the object increases, the fluid resistance increases.
What is fluid resistance?The fluid resistance is what could otherwise be referred to as the drag force. This is the force that inhibits the object from moving through the fluid. Thus it drags the object and prevents its motion.
This fluid resistance is caused by the layers of the fluid as the object moves through the fluid. As the speed of the object increases, the fluid resistance increases.
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An alien spaceship traveling at 0.600 c toward the Earth launches a landing craft. The landing craft travels in the same direction with a speed of 0.800 c relative to the mother ship. As measured on the Earth, the spaceship is 0.200 ly from the Earth when the landing craft is launched.(a) What speed do the Earth-based observers measure for the approaching landing craft?
The speed does the Earth-based observers measure for the approaching landing craft is 1.016 times the speed of light.
To find the answer, we have to know about the Lorentz transformation.
What speed do the Earth-based observers measure for the approaching landing craft?It is given that, an alien spaceship traveling at 0.600 c toward the Earth, in the same direction the landing craft travels with a speed of 0.800 c relative to the mother ship. We have to find the speed do the Earth-based observers measure for the approaching landing craft.
Let us consider the earth as S frame and space craft as S' frame, then the expression for the value of speed of the approaching landing craft with respect to the earth frame as,[tex]V_x=V_x'(1-\frac{VV_x}{c^2} )+V\\where,\\V_x'=0.8c\\V=0.6c[/tex]
Substituting values, we get,[tex]V_x=0.8c(1-\frac{0.8c*0.6c}{c^2} )+0.6c=1.016c[/tex]
Thus, we can conclude that, the speed does the Earth-based observers measure for the approaching landing craft is 1.016 times the speed of light.
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a plastic rod that has been charged to − 15 nc touches a metal sphere. afterward, the rod's charge is − 1.0 nc .
According to the question a plastic rod that has been charged to − 15nc touches a metal sphere. Afterward, the rod's charge is − 1.0nc.The electrons will be transferred from the plastic rod to the metal sphere and the number of electrons ( n ) = 8.73 * 10^10
First of all, write the initial charge on the plastic rod, and then it touches the metallic sphere. Then, a few amounts of charge are transferred to the steel sphere. Later, calculating the price difference between the plastic rod and metal sphere, the kind of charged particle transferred may be decided. Ultimately, the number of electrons may be calculated by the use of the overall charge and the rate of the electron.
The expression of the total charge in electrostatics is Q = ne
Q = charge
n = number of electrons
e = charge of the electron
The initial charge on the plastic rod ( Qplastic ) = -15nC
Final charge on the metal sphere after it was touched by the plastic rod ( Qmetal ) = -1nC
The charge transferred from the metal rod to the sphere = ( Q = Qplastic - Qmetal )
Therefore Q = - 15nC - ( -1nC )
Q = -14nC
The plastic rod is negatively charged, so the electrons will be transferred to the metal sphere. The electrons will be transferred from the plastic rod to the metal sphere.
The expression of the total charge in electrostatics is Q = ne
The expression for n = Q / e
Q = -14nC
The charge on 1 electron = 1.602 * 10^-19 C.
Number of electrons ( n ) = -14nC ( 10^-9C/1nC ) / -1.602 * 10^-19 C.
Number of electrons ( n ) = 8.73 * 10^10
Threfore the number of electrons ( n ) = 8.73 * 10^10
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In Niels Bohr's 1913 model of the hydrogen atom, the single electron is in a circular orbit of radius 5.29×10⁻¹¹m and its speed is 2.19×10⁶ m/s . (a) What is the magnitude of the magnetic moment due to the electron's motion?
The magnitude of the magnetic moment due to the electron's motion is [tex]87.87 * 10^{-37}[/tex].
What is magnetic moment?The magnetic pull and direction of a magnet or other object that produces a magnetic field are referred to as the magnetic moment in electromagnetism. Things that have magnetic moments include electromagnets, permanent magnets, various compounds, elementary particles like electrons, and a number of celestial objects (such as many planets, some moons, stars, etc).
The term "magnetic moment" really refers to the magnetic dipole moment of a system, which is the portion of the magnetic moment that can be represented by an equivalent magnetic dipole or a pair of magnetic north and south poles that are only very slightly apart. The magnetic dipole component is adequate for sufficiently small magnets or over sufficiently large distances.
Calculations:
radius= [tex]5.29 * 10^{-11} m\\[/tex]
velocity=[tex]2.9* 10^{6} m/s[/tex]
Working formula, M=N/A
[tex]I=\frac{charge flow }{time taken} =\frac{e}{time taken\\}[/tex]
[tex]T= \frac{2xr}{v} =\frac{2xx * 5.29 * 10^{-11} }{2.9* 10^{6} }[/tex]
=[tex]15.16 * 10^{-5} s[/tex]
[tex]I= \frac{1.6 * 10^{-19} }{15.16 * 10^{-5} }[/tex][tex]= 0.10 * 10^{-14}[/tex]
=[tex]1 * 10^{-15} C[/tex]
M=[tex]1x (1* 10^{-15} * (5.29 * 10^{-11} )^{2}[/tex]
=[tex]87.87 * 10^{-37}[/tex]
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HELP PLEASE IMMEDIATILY !!!!!!
- Determine the force required to accelerate a block of ice with a mass of 3.5 kg from 0 to 8 m/s2.
- Determine the acceleration that a cart with a mass of 25 kg experiences when it is being pulled with a force of 50 Newtons.
- Determine the mass of a block of ice that is accelerated to 6 m/s2 by a force of 3 Newtons.
- What is a free body diagram and what information does it contain?
Answer all of them please
The force required to accelerate the block is 28 N.
The acceleration of a cart with a mass of 25 kg and applied force of 50 N is 2 m/s².
The mass of a block of ice that is accelerated to 6 m/s2 by a force of 3 Newtons is 0.5kg.
A free body diagram is a sketch of forces acting on an object. It consists of the applied force, weight of the object, frictional force and normal reaction.
Force required to accelerate the blockThe force required to accelerate the block is calculated as follows;
F = ma
F = 3.5 kg x 8 m/s²
F = 28 N
Acceleration that cartThe acceleration of a cart with a mass of 25 kg and applied force of 50 N is calculated as follows;
a = F/m
a = 50/25
a = 2 m/s²
Mass of the block of iceThe mass of a block of ice that is accelerated to 6 m/s2 by a force of 3 Newtons is calculated as follows;
m = F/a
m = 3 N / 6 m/s²
m = 0.5 kg
What is a free body diagram?A free body diagram is a sketch of forces acting on an object. It consists of the applied force, weight of the object, frictional force and normal reaction.
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25. Calculating
A triathlete enters a race in which
he swims 500 meters, runs 3000 meters, and
cycles 10.0 kilometers. What is the total distance
of the race in kilometers?
-I NEED HELP PLEASE! I BEGGGGG
Answer:
3,510 po yung sagot pa brainliest po
Explanation:
By adding the distances for cycling, running, and swimming, the total race distance can be determined. The distance covered by him is 13.5 km.
Converting all the distances to the same unit before combining them because the triathlete swims 500 meters, runs 3000 meters, and cycles 10.0 kilometers.
Divide 500 meters by 1000 to get kilometers: 500 meters divided by 1000 equals 0.5 kilometers.
Divide 3000 meters by 1000 to get 3 kilometers: 3000 meters divided by 1000.
The triathlete completes a 0.5-kilometer swim, a 3-kilometer run, and a 10.0-kilometer bike ride.
Now that the distances have been added, the total is 13.5 kilometers: 0.5 kilometers for swimming, 3 kilometers for running, and 10.0 kilometers for cycling.
Consequently, the race's overall length is 13.5 kilometers.
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a ball is shot from the ground straight up into the air with initial velocity of 50 50 ft/sec. assuming that the air resistance can be ignored, how high does it go?
The height attained by the ball is 11.86m
a ball is shot from the ground straight up into the air its initial and final velocity is
initial velocity, u = 50 ft/s = 50×0.305 = 15.25m/s
final velocity ,v = 0 m/s
gravity =-9.8 m/s²
( negative sign shows acceleration in opposite direction)
height =?
using the newton motion of equation
v² = u² + 2as
where
a= acceleration due to gravity(g)
s = height
v² = u² + 2gs
(0)² = (15.25)² + 2×(-9.8)×s
0 = (15.25)² - 19.6 × s
s= - (15.25)²/ 19.6
s = 11.86m
after ignoring the air resistance the maximum height of the ball is 11.86m
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a force of 8 lb8 lb is required to keep a spring compressed to 13 ft13 ft shorter than its equilibrium length. what is its spring constant? ????
The Spring constant (K) = 9 N/m.
We have a force of 8 lb is required to keep a spring compressed to 13 ft shorter than its equilibrium length.
We have to determine the Spring constant.
When the Spring is Compressed or Stretched the restoring force is directed towards?The restoring force is directed towards the Equilibrium position.
According to the question, we have -
Force = 8 lb = 8 x 4.45 = 35.6 Newton.
Displacement = 13 ft = 3.96 meter.
Now -
The Restoring force = Applied force
Therefore -
|F| = Kx
35.6 = 3.96K
K = 8.99 = 9 N/m.
The Spring constant K = 9 N/m.
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this average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west turns around, and hikes with an average velocity of 0.447 m /s, due east. how far east did she walk?
0.81 km far east she walked.
What do you mean by average velocity?The ratio of the sum of quantities to the entire number of quantities is what is simply meant by the word "average." In Physics, an alternative strategy is used. Let's first define velocity precisely as well as speed and how the two are related before moving on to average velocity. The change in location of an object with respect to time is referred to as its speed. On the other hand, velocity is nothing more than the speed that is specified in relation to the direction that an item travels. For now, let's return to the average velocity before we get into further detail regarding the distinction between speed and velocity.
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One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero?
[tex]Given: Current $30 \mathrm{~A}$ along $x$-axis to left $\left(I_1\right)$current $50 \mathrm{~A}$ along $\gamma$-axis $(0=z, y=0.280 \mathrm{~m})$ bo righta) Take a point $P$ at distance $x$ below $x$-axis$B=$ Magnelic field at $P$$B_D=\frac{\mu_0 I_1}{2 \pi x} \hat{k}+\frac{\mu_0 I_2}{2 \pi(0.28+x)}(-\hat{k})=0\left(\mu_0=4 \pi_{\times 10^{-7}} \mathrm{n} / \mathrm{m}\right)$[/tex][tex]$\frac{\mu_0 I_1}{2 \pi \alpha}=\frac{\mu_0 I_2}{2 \pi(0 \cdot 28+x)} \hat{k} \Rightarrow \frac{\mu_0 30}{2 \pi \alpha} \hat{k}=\frac{\mu_0^x 50}{2 \pi(0.28+x)} \hat{k}$$\Rightarrow x=0.42 \mathrm{~m}$[/tex]
What is magnetic field?The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field. The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, such those utilized in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetized things.
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How much energy is required to change a 40.0-g ice cube from ice at -10.0°C to steam at 110°C ?
The amount of heat required to warm the ice is 38.317 KJ
What is specific heat capacity ?
In scientific terms, a specific heat capacity is the quantity of heat (J) absorbed by a material every time its temperature goes up 1 K (or 1 °C), given in J/(kg K) or J/(kg °C) per unit mass. formulae for specific heat capacity is given by
Given data:
The mass of ice is, m = 40.0 g.
The initial temperature is, T = - 10 degree Celsius.
The final temperature is, T' = 110.0 degree Celsius.
The heat capacity of ice is, c = 2.09 J/g C.
The heat capacity of steam is, c' = 2.01 J/g C.
When ice absorbs heat, the conversion takes place from ice to water (liquid) and from the liquid to steam at 110 degree Celsius. So,
The amount of heat absorbed is given as,
Q = m[c(T' - T) + c'T']
Q = 40[2.09 x (110-(-10)) + 2.01 x (110+273))]
Q = 38,317.2 J
Convert in kJ as,
Q = 38,317.2/1000
Q = 38.317 kJ
Thus, we can conclude that the amount of heat required to warm the ice is 38.317 kJ.
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A train is climbing a gradual hill. The weight of the train creates a downhill force of 150,000 newtons. Friction creates an additional force of 25,000 newtons acting in the same direction (downhill). How much force does the train’s engine need to produce so the train is in equilibrium.
The force produced by the train's engine will be 175000N.
Force is an external agent that has the power to alter an object's state of motion or rest. In a brief, force is a vector quantity that's also defined as a push or pull exerted on an object as a result of the object's contact with another object. The Newton (N) is the unit of force F.
F = ma
Here, F is force, m is mass and a is acceleration of the object.
We are given here,
The force by the train weight = [tex]Fw[/tex] = 150,000N
The force creates by the friction = [tex]F_{f}[/tex] = 25,000N
Thus , to get the total force of the train's engine by adding force by weight and force by friction is given as,
[tex]F_{t} = F_{w}+ F_{f}[/tex]
Then for getting total force of the train's engine putting above values in the expression ,
[tex]F_{t} = 150,000 N +25,000N\\F_{t} = 175,000N[/tex]
Hence, the train’s engine has to produce 175000N force to become in equilibrium.
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