If the heavier object and the heavier object are moving at the same speed, the answer is yes.
What is kinetic energy?Simply put, an object's kinetic energy is the amount of energy expended, or work put into it, to accelerate it from rest to a specified velocity, let's say v.The mass of an object is relevant in this situation because it will influence how much labor is required to accelerate it and provide it with kinetic energy.More specifically, a heavier object that travels from rest to the same velocity v will have a lower kinetic energy than a heavier object since the latter requires less work to do so.The object's kinetic energy can be represented as a function of its velocity and of its mass kinetic energy after it achieves velocity v.=1/2×mass×velocity2To learn more about kinetic energy refer to:
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what physical quantities do you need to measure to determine the electric power produced by a battery/power supply? what equation will you use?
Electrical power (P) can be defined as the sum of these two numbers if voltage (V) equals Joules per Coulombs (J/C) and amperes (I) = charge (coulombs) per second (A = Q/t). This is due to the fact that electrical power can also be expressed as P = V*I, or voltage times amperes.
Electric Power can be explained as:
Electric power is the rate at which electrical energy moves across an electric circuit. The SI unit of power is the watt, or one joule per second. The suffixes used to represent thousands, millions, and billions of watts are kilowatts, megawatts, and gigawatts, respectively. Watts are subject to the same standard suffixes as other SI units.
A power law is an equation in which, regardless of the initial sizes of the two values, a relative change in one quantity results in a corresponding relative change in the other.
The Equation:
Here, it is explained that Power equals Current times Voltage (P=VxI), Current equals Power divided by Voltage (I=P/V), and Voltage equals Power divided by Current (V=P/I).
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A 3000 W oven is cooking your Sunday roast for 1 hour and
35 minutes. How much did it cost to cook it?
Cost estimated is ₹[19/4]y/-.
Given :- Power=3kW , Time=1hr 35min
Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour, so 35min =35/60 hour
35min= 35/60 =7/12 hour
So total computed time = 1hr + [7/12]hr
computed time =19/12hr
Now since in the question there is no mention about cost , so let the cost be ₹y/unit.
Mathematically , Energy is the product of power and time , i.e.
E= Power x Computed time = 3 x 19/12 = 19/4 units.
Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.
Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.
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A person is electrically charged, but because of his sneakers with rubber soles, the charge cannot flow into the ground. What happens when he touches a friend who is barefoot?
Answer:
See below
Explanation:
Your 'friend ' IS electrically grounded....so the electric charge will flow from you through your friend to the ground.....likely BOTH of you will feel a shock.
suppose a 0.45-kg mass on a spring-loaded gun that has been compressed 0.10 m has elastic potential energy of 1.50 j. how high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?
Height above which the spring's equilibrium point can the gun fire the mass if the gun is fired straight up is 0.34m.
What is law of conservation of energy?The law of conservation of energy is that energy can neither be created nor destroyed. Energy changes from one form of to another form.
Using the law of conservation of energy.
Em₀ = 1.5 J
Higher.
Em1 = U
= m g h
As there is no friction, then the mechanical energy is conserved
Hence, Em₀ = Em1
Em₀ = m g h
therefore, h = Em₀ / m g
h = 1.5 / 0.45 * 9.8
Hence, h = 0.34 m
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two skaters, each of mass 50 kg, approach each other along parallel paths separated by 3.0 m. they have opposite velocities of 1.4 m/s each. one skater carries one end of a long pole of negligible mass, and the other skater grabs the other end as she passes. the skaters then rotate around the center of the pole. assume that the friction between skates and ice is negligible. what are (a) the radius of the circle, (b) the angular speed of the skaters, and (c) the kinetic energy of the two-skater system? next, the skat
The angular speed of the skaters is 0.7rad/s and the kinetic energy of the two-skater system is 98 J.
Kinetic energy = m[tex]v^{2}[/tex] = 98J
Angular speed = 0.7 rad/s
A force needs to be applied if we want to accelerate an object. We must use effort to apply a force. The object will be moving at a new constant speed once the operation is finished and energy has been transferred to it. Kinetic energy, which is the energy that is transferred and is based on the mass and speed attained, is what causes motion.
It is possible for kinetic energy to move from one item to another and change into other types of energy. An encounter between a flying squirrel and a chipmunk, for instance, might occur. Some of the squirrel's initial kinetic energy may have been passed to the chipmunk after the collision, or it may have been converted to another kind of energy.
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3. What is a consideration when forcing interior walls?
A.
C.
D.
The wall coverings often hide interior metal framing.
The walls may be load-bearing and affect structural integrity.
Power tools must be used since all interior walls are reinforced.
Forcing the wall will require firefighters to work in a team of two.
Power tools must be used since all interior walls are reinforced is a consideration when forcing interior walls.
The correct option is C.
What does a load-bearing?The load of the floor or roof construction above them is supported by load-bearing walls, also referred to as "bearing walls." They are made to transfer weight from the roof to the foundation by passing through the flooring. A bearing wall, also known as a load-bearing barrier or a structural wall, supports the entire weight of the home. This wall assists in distributing the weight of the building from the roof to the base, and its loss could lead to the building collapsing.
How is a load-bearing determined?Tom proposes going up to the attic or basement to check which direction the joists run to see if a wall is load-bearing. The wall is still most likely not load-bearing if it runs parallel to the joists.
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The complete question is -
What is a consideration when forcing interior walls?
A-The wall coverings often hide interior metal framing.
B-The walls may be load-bearing and affect structural integrity.
C-Power tools must be used since all interior walls are reinforced.
D-Forcing the wall will require firefighters to work in a team of two.
if the intensity of a sound increases from 1 bel (10 db) to 3 bel (30 db), what is the increase in energy per square meter?
The increase in energy is 100times.
Does distance affect the loudness of a sound?The square of the distance from the source of the sound wave determines the inverse proportionality of sound intensity. The strength of a sound wave reduces with increasing distance from the source because sound waves transmit their energy via a two-dimensional or three-dimensional medium.
A sound wave's amplitude determines its intensity, and its frequency corresponds to its rate of vibration.
Acoustic intensity, also referred to as sound intensity, is the amount of energy carried by sound waves per unit of area in a direction perpendicular to that area. The SI unit for intensity, which also includes sound intensity, is the watt per square meter (W/m²).
Mathematically, the sound intensity level can be expressed as,
β(dB) = 10log₁₀(I/I₀)
β₂-β₁ = 10log₁₀(I/I₀)
30-10 = 10log₁₀(I/I₀)
20 = 10log₁₀(I/I₀)
I/I₀ = 10²(or) 100times.
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an iron skillet weighing kg is heated on a stove to . suppose the skillet is cooled to room temperature, . how much heat energy (in joules) must be removed to affect this cooling? the specific heat of iron is
When the iron skillet cools from 178°C to 21°C, the quantity of heat lost is given by.
ΔQ = SmΔT = (0.449 J/°Cg) (1280 g)Δ(21 °C - 178 °C)
= -90231.04 J = -90.231 kJ
The specific heat capacity of a substance is equal to the heat capacity of a specimen of the element divided by the mass of sample.
Also known as specific heat, this is the quantity of energy required to increase a substance's temperature by one degree Celsius in one gram. The units of specific heat are typically calories or joules per gram per degree Celsius. As an illustration, the specific heat of water is 1 calorie (4.186 joules) per gram per degree Celsius.
Between systems or objects with various temperatures, energy is transmitted in the form of heat (flowing from the high-temperature system to the low-temperature system). Likewise called thermal energy or heat energy. The usual units for measuring heat are Btu, calories, or joules.
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Thousands of small rocky objects are located in the solar system between mars and jupiter. These objects are.
Thousands of small rocky objects known as asteroids can be found in the solar system between Mars and Jupiter.
What exactly is a solar system?The Solar System is composed of the Sun and the objects that orbit it. It was created by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the vast majority of the system's mass, with Jupiter holding the majority of the remaining mass.
Asteroids are rocky bodies that orbit the Sun. Although asteroids orbit the Sun in the same way that planets do, they are much smaller. In our solar system, there are numerous asteroids. The majority of them are found in the main asteroid belt, which lies between the orbits of Mars and Jupiter.
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the amount of net force required to keep a 15-kg object moving rightward with a constant velocity of 3 m/s is .
The net force required to move the object of mass 15 kg and constant velocity is 0N
The mass of the object = 15 kg
The object is moving with a constant velocity = 3 m/s.
The net force required to move the object can be calculated by using the formula,
F = ma
where F is the force
m is the mass
a is the acceleration.
The acceleration is nothing but a rate of change of velocity (i.e. a = v/t). But for a constant velocity, the acceleration will be zero. Because there will be no change in velocity.
Therefore, the net force is
F = 15 x 0
= 0 N
Therefore, the net force is 0 N
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what is the lift (in newtons) due to bernoulli's principle on a wing of area 87 m2 if the air passes over the top and bottom surfaces at speeds of 250 m/s and 170 m/s , respectively?
Bernoulli's principle produces a lift of 3770928N on a 87m²wing.
What constitutes Bernoulli's principle's foundation?According to Bernoulli's principle, areas of a fluid flow that are moving more quickly will experience less pressure than areas that are moving more slowly.
The following memorable word equation serves as a concise summary of Bernoulli's equation in its simplified form: Total pressure equals static pressure plus dynamic pressure. Regardless of the fluid speed at a given position, every point in a constantly flowing fluid has a distinct static pressure (p) and dynamic pressure (q).
Bernoulli's principle states that the following expression represents force:
F = A × d × V²₂ - V₁²/2
F = 87 × 1.29 × (250² - 170²)/2
F = 112.23 × 33600
F = 3770928N
As a result, a wing with an area of 87 m² has a lift of 3770928N.
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two light bulbs of resistance 25 ohms and 30 ohms are connected in parallel. what is the equivalent resistance of the circuit?
The equivalent resistance of the circuit is 14.28 ohms.
Resistance- 25 ohms and 30 ohms in parallel
so, the equivalent resistance
1/R =1/R1+1/R2
1/R =1/25+1/30
1/R =0.07
R = 14.28 ohms
If two or more components are connected in parallel, they have the same difference of potential (voltage) across their ends. The potential differences across the components are the same in magnitude, and they also have identical polarities. The same voltage is applied to all circuit components connected in parallel. The total current is the sum of the currents through the individual components, in accordance with Kirchhoff's current law.
A parallel circuit's total resistance is always lower than any of its branch resistances. The total resistance in the circuit decreases when more parallel resistances are added to the lines.
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a ball drops some distance and loses 30 j of gravitational potential energy. do not ignore air resistance. how much kinetic energy did the ball gain? a ball drops some distance and loses 30 j of gravitational potential energy. do not ignore air resistance. how much kinetic energy did the ball gain? more than 30 j less than 30 j exactly 30 j
Thus, more than 30 J of potential energy can be loosed by the ball. Thus, the gravitational potential energy of the ball is more than 30 J.
If there is no air resistance, the ball's potential energy is entirely transformed into kinetic energy. When air resistance is taken into account, a portion of the potential energy is used to overcome it. Thus, AU > AKE. In the current scenario, a ball gains 30 J of kinetic energy while falling and is treated as encountering air resistance. The energy that an object retains due to its position in relation to other objects, internal stresses, electric charge, or other factors is known as potential energy in physics. The potential energy will be transformed into kinetic energy if the stones fall. High on the tree, branches have the potential to fall, which gives them energy. Chemical potential energy exists in the food we eat.
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A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the amount of work done by the net torque to the wheel during this time interval?
A: [tex]\frac{1}{2}l\omega_{f}^{2}[/tex]
B: [tex]l\omega_{f} T[/tex]
C: [tex]l\omega_{f} ^{2}[/tex]
D: [tex]l\omega_{f} ^{2} /T[/tex]
The wheel's average net torque over the course of interval T is Iωf/T (option-D).
Does net torque match net force?An object's rotational velocity is altered by net torque. The velocity of an object is affected by net force. When pushed, the block moves horizontally and, assuming low friction, does not rotate.
Given ,
The wheel's initial angular speed, [tex]w_{i}[/tex] = 0
Final wheel angular velocity, [tex]w_{f}[/tex] = [tex]w_{f}[/tex]
The amount of time required to increase the wheel's angular speed t = T
The wheel's angular acceleration,
α = [tex]w_{f}[/tex] - [tex]w_{i}[/tex]/T
α = [tex]w_{f}[/tex] - 0/T
α = [tex]w_{f}[/tex]/T
Newton's Second Law of Rotation states:
The moment of inertia times the angular acceleration are equal when multiple torques are acting on a rigid body about a fixed axis.
τ = Iα
An expression for angular acceleration is:
α = (ωf - ωi) / T
α = ωf/T
As an alternative to the second law:
τ = Iωf/T.
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starting from rest, you drive down a street. when accelerating from 15 mph to 30 mph, your change in kinetic energy is your change in kinetic energy from 0 to 15 mph. a) one third b) one half c) equal to d) two times e) three times
Kinetic energy, which can be seen in the movement of an object, particle, or group of particles, is the energy of motion.
What is the formula to calculate kinetic energy?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.Kinetic energy is a unit of measurement for the amount of work that a moving thing can accomplish.KE=1/2mv2energy KE = units
mass m = 15
velocity v = 30
KE = 6750 J
Here, m stands for mass, a measure of how much matter is contained within an object, and v for velocity, a measure of how quickly the object changes positions.To Learn more About Kinetic energy refer to :
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Which two measurements are needed in order to calculate the speed of an object in motion?.
The two measurements, which are needed in order to calculate the speed of an object in motion, be: amount of distance travelled at a particular time interval and the time interval.
What is speed?Speed is characterised as the rate at which an object's position changes in any direction.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. SI unit of speed be meter/second.
The equation provides the speed formula: s = d/t
Where,
the speed in m.s^-1 is s.
The distance in m is represented by d.
The time interval in s is t.
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Which statements explain current theories about dark energy and dark matter? Check all that apply. Space that appears empty actually contains dark energy and dark matter. Dark matter does not emit electromagnetic radiation. Scientists believe dark energy will cause the universe to collapse inward to a single point. Scientists theorize that dark energy is causing the expansion of the universe to accelerate. Dark matter includes all of the dust, ice, and debris that scientists observe in black holes.
The correct statements which describes current theories about dark energy and dark matter among the choices above are given below:
Space that appears empty actually contains dark energy and dark matter.Dark matter does not emit electromagnetic radiation.Scientists theorize that dark energy is causing the expansion of the universe to accelerate.The answers are options a, b, and d.
What meant by dark energy ?Dark energy refers to that energy which acts against gravity, thereby resulting in the expansion of the universe. It's major constituent is current characterized with vacuum fluctuation. It is on this premise that dark energy was theorized to be causing the expansion of the universe to accelerate and itself including dark matter is filled in empty space.
So therefore, from the simple note above, it can be deduced that this type of energy does not produce electromagnetic radiation.
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Answer:
a b d
Explanation:
Which statements explain current theories about dark energy and dark matter? Check all that apply.
Space that appears empty actually contains dark energy and dark matter.
Dark matter does not emit electromagnetic radiation.
Scientists believe dark energy will cause the universe to collapse inward to a single point.
Scientists theorize that dark energy is causing the expansion of the universe to accelerate.
Dark matter includes all of the dust, ice, and debris that scientists observe in black holes.
what is the rotational inertia of a solid iron disk of mass 41.0 kg with a thickness of 5.00 cm and radius of 30.0 cm, about an axis perpendicular to the disk and passing through its center?
Answer:
I = 1/2 M R^2 moment of inertia of solid disk
I = 1/2 * 41.0 kg * (.3 m)^2
I = 20.5 kg * .09 m^2 = 1.85 kg-m^2
an object has mass 0.2 kg, how much force is required to throw it vertically with velocity 5ms
0.2×51000)
Explanation:
change 5ms into cms before multiplying by 0/2 kgs
A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
Since the toy car is halting, the acceleration is -36 m/s2, which equals the toy's deceleration.
What is acceleration?A moving object can occasionally alter its velocity by the same amount every second. The data table above depicts an item altering its velocity by 10 m/s every second, as was described in the paragraph above. Since the velocity is changing by a fixed amount every second, this is known as a constant acceleration.
The object's force is calculated by multiplying its mass by the speed at which it is traveling. The product is the vector. Kg-m/s2 or Newton is the SI symbol for force (N). The force's equation is as follows:
F = ma
where,
Force is F
m is mass
a is acceleration
The specified values for force are f = 9.0N and m = 0.25kg.
∴ F = ma
9.0 = 0.25 × a
a = 36 m/s²
Therefore, the magnitude is -36m/s2 and the negative sign denotes the toy car's deceleration.
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what is the total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward?
The total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward is 2π (r inner + router ) × r cos θ.
Surface tension is the tendency of liquid surfaces at relaxation to shrink into the minimal surface area viable. floor anxiety is what permits gadgets with a better density than water consisting of razor blades and bugs to go with the flow on a water surface without turning even partly submerged.
Surface tension arises because of cohesive interactions between the molecules within the liquid. At the bulk of the liquid, the molecules have neighboring molecules on each facet. Molecules are pulling each other equally in all directions inflicting an internet force of zero.
Calculation:-
Upward force = length of contact × r cos θ
= 2π (r inner + router ) × r cos θ
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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. The way the light that passes through the second filter compared to the light that passed through the first filter is that all of the light will pass through both polarizers.
What is a polarizer?A polarizer, also known as a polariser, is an optical filter that allows light waves of one polarization to pass while blocking light waves of other polarizations. It may convert an undefined or mixed polarization light beam into a polarized light beam by filtering it.
Calcite, a naturally occurring mineral, is used to make the majority of birefringent polarizers. Calcite is common in polycrystalline form, but optical-grade calcite is scarce, making birefringent polarizers more expensive than most other varieties.
Remember that polarising filters can lower the amount of light reaching your camera's sensor by up to two or three f-stops, so avoid using them in low-light settings. This includes photography during blue hour, at night, and when capturing the Aurora Borealis.
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gigi used to do a lot of yoga, so she had great range of motion. however, she has not been able to exercise for several months and is planning on getting back into yoga. what range of motion should she expect in her first yoga class back after such a long break?
She has probably lost some of her range of motion.So Full Range of Motion should she expect in her first yoga class back after such a long break.
Due to the distinctive design of our skeletal system, the range of motion is defined as the way our bodies move through space. especially how the bones adhere to one another at the joints. Because of each person's unique skeletal structure, every joint in the body has a defined range of motion. A joint's range of motion (ROM) refers to how far it can move actively or passively in a given direction. As opposed to passive ROM, which occurs when an external force moves the joint, active ROM occurs when muscles do so. There are active and passive joints (hip, knee, shoulder) and regions of the spine (neck). Performing yin yoga helps to dissolve adhesions in these tissues, restoring their ability to move freely. Vinyasa yoga extends your range of motion as well.
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How much energy is needed to raise the temperature of 0, point, 20, k, g,0.20kg of cooking oil by 50, degrees if the specific heat capacity of this oil is 1800, j, slash, left bracket, k, g, degrees, c, right bracket,1800j/(kg
Answer:
See below
Explanation:
1800 j/(kg C) = x J / (.20 kg * 50 C)
solve for x J = 180 000 J
The amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.
What is the amount of energy?The amount of energy (Q) needed to raise the temperature of a substance can be calculated using the formula:
Q = mcΔT
where Q is the amount of energy, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
In this case, the mass of the cooking oil is 0.20 kg, the specific heat capacity of the oil is 1800 J/(kg·°C), and the temperature needs to be raised by 50°C. Substituting these values into the formula, we get:
[tex]Q = (0.20 kg) x (1800 J/(kg·°C)) x (50°C)[/tex]
Q = 18000 J
Therefore, the amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.
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The SI unit for the electric for is __ .
A) Coulomb
B) Newtons
C) Joules
D) Meters
Pick ONE only.
Answer:
The SI unit for the electric for is
A) Coulomb
Determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop.
We can determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop using the right-hand rule.
What is the right-hand rule?The right-hand rule is a common mnemonic in physics for remembering the direction of magnetic forces. A similar form of the right-hand rule, which is also called the right-hand grip rule, is used to find the direction of the magnetic field in a current-carrying wire.
The direction of the magnetic field made by a current in a wire curls around the wire in a ring. You can find the direction by curling your fingers and pointing your right thumb in the direction of the current in the wire. Your fingers will be curled in the same direction as the direction of the magnetic field around the current-carrying wire.
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two long, straight wires are parallel and 49 cm apart. (a) if each wire carries a current of 74 a in the same direction, what is the magnitude of the magnetic force per meter (in n/m) exerted on each wire?
The magnetic force between the two parallel wires is 2.24 x 10⁻³ N/m.
What is the force between the two parallel wires?
The magnetic force between the two parallel wires is calculated by applying the following kinematic equation as shown below.
F/L = μI₁I₂/2πr
where;
μ is the permeability of free space = 4π x 10⁻⁷ Tm/AI₁ is the current in the first wireI₂ is current in the second wireF/L is force per unit lengthr is the distance between the two wiresThe magnitude of the magnetic force per meter (in n/m) exerted on each wire is calculated as;
the current in the first wire = the current in the second wire = 74 A
Substitute the given parameters and solve for the force per unit length of current between the two parallel wires.
F/L = ( 4π x 10⁻⁷ x 74 x 74)/(2π x 0.49)
F/L = 2.24 x 10⁻³ N/m
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What is the disadvantage of the circuit pictured below
A._ The addition of more light bulbs decreases the flow of electricity through the circuit.
B._ The addition of more light bulbs decreases the voltage to each bulb.
C._ The addition of more light bulbs decreases the resistance in the circuit.
D._ The circuit only works when alternating current is used.
The circuit shown has the drawback that it can only operate with alternating current.
The correct answer is D
What exactly do you mean by "alternating current"?A type of electrical current known as alternating current (AC) alternates the flow of electrons periodically or in cycles between two directions. Alternating current (AC) is the kind of current that circulates through electrical outlets used in everyday homes and power lines.
How do AC & DC current differ from one another?Both alternating current (AC) and direct current (DC) are types of electric current (DC). The way that electrons move determines how AC and DC are different from one another. While the flow of electrons in AC is constantly changing, moving first ahead and then backward, as opposed to DC's steady movement in one direction
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a subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. what is the force constant of the spring?
The force constant k of the spring is 781000 N/m
What is force?
Once applied, force is described as an external cause that alters or tends to modify the state of the body; if the body is in motion, it comes to rest, and if at rest, it comes to motion. It can also induce a shift in the body's direction, shape, or size. Pushing or pulling a door with force is an example.
Because force is a vector quantity, it has both magnitude and direction. Newton's second law defines force as the "product of a body's mass and acceleration."
In physics, a force is an effect that can change the velocity of an object. A force can cause a mass object's velocity to change (e.g., moving from rest), causing it to accelerate. Force can be thought of as either a push or a pull. Because it has both magnitude and direction, force is a vector quantity. It is measured in newtons, the SI mass unit (N). The letter F stands for force (formerly P).
In its original form, Newton's second law states that the net force acting on an object is equal to the rate at which its momentum varies with time.
Here,
let the force constant is k
Using conservation of energy
0.50 * 5 *10^5 * 0.50^2 = 0.50 * k * 0.40^2
solving for k
k = 781000 N/m
The force constant k of the spring is 781000 N/m
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Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s. What makes this interesting is that he juggles three balls as he runs the distance. Suppose Hout throws a ball up and forward at twice his running speed and just catches it at the same level. At what angle, θ, must the ball be thrown? (Hint: Consider horizontal displacements for Hout and the ball.)
Answer:
60 degrees
Explanation:
The ball must be thrown at an angle 60°.
Given parameters:
Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s.
Hout throws a ball up and forward at twice his running speed and just catches it at the same level.
So, Speed of the ball = 2× 5.82 m/s. = 11.62 m/s.
The angle at which the ball thrown = θ.
According to the question,
Horizontal component of speed of the ball = Speed of Hout
⇒ 11.62 cosθ = 5.82
⇒ cosθ = 0.5
⇒ θ = 60°.
Hence, the ball must be thrown at 60° angle.
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