A pendulum is swinging in a circular path at angle θ and string length L. What is the tension in the string? Use m, g, and θ. Your answer should have m, g, θ, and a trig function. Answer will be T=.

What is the centripetal acceleration? Your answer will have g, θ, and 1 or 2 trig functions. Your answer will be [tex]a_{c}[/tex]=.

The movement and charge of particles causes them to form magnetic fields.

Moving electric charges generate magnetic fields. Everything is constructed of atoms, and each atom has an orbiting nucleus that is composed of protons and neutrons. A weak magnetic field is produced around each atom because the orbiting electrons are tiny moving charges.

The movement of electric charges is what generates magnetism. Atoms are little building blocks that make up all substances. Each atom contains electrons, which are little particles with electric charges. The electrons around the nucleus, or core, of an atom spin like tops.

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A node is a position of a) minimum amplitude.

In the field of physics, the position where there is the lowest amplitude present in a particular wave is referred to as a node.

In a wave, the nodes can be produced as the regions of destructive interference where the amplitude is minimum.

For example, consider a guitar that has its strings vibrating. In such a case, the place where there will be minimum amplitude will be the ends of each string. Hence, we will refer to the ends of each string as the nodes of the guitar.

On the other hand, anti-nodes are the positions on a wave where the amplitude is the highest.

Although a part of your question is missing, you might be referring to this question:

A node is a position of

a) minimum amplitude

b) maximum amplitude

c) maximum resonance

d) minimum resonance

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The heat is convicted through the soup. The soup heats up as the spoon is in the soup making the spoon hot. its like saying pouring hot water into a cup and its hot on your hand its convecting through the glass and heating up

On dropping the sandbag the amplitude of vibrations will decrease.

when compared to its equilibrium position, the displacements or distance traveled by a spot on a vibrating body or wave.

The cart-spring mechanism loses energy when the sandbag is dropped. Because of this, the amplitude cannot be constant.

The system would only be able to gain energy if the amplitude increased. The sandbag is dropped, yet there is no gain in energy.

The sandbag possesses kinetic energy at equilibrium, which escapes the system containing the sandbag. Since the amplitude and system energy are inversely proportional (E=1/2(k)A2), a decrease in system energy must result in a decrease in the motion's amplitude.

Thus, the amplitude is reduced.

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When a 1.2 kg book is lying on a 0.77 mm -high table and place it on a bookshelf 2.0 mm  work done by gravity is 14.39 joule.

mass=1.2

h1=0.77mm

h2=2.0 mm

g=9.8m/s^2

work done= mgh2-h1

work done=1.2×9.8(2.0-0.77)

work done=14.39 joule

An external force must focus at least a portion of its energy in the direction of the displacement when moving an object over a distance. In physics, this is referred to as work. Work can be calculated if the force acting along the path is constant by multiplying the force's component by the length of the path. Mathematically, the work W is defined as the sum of the force f and the length h, or W = mgh. If the force is applied at an angle to the displacement, the work is W = mas.

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A long, straight wire's magnetic field strength is  1.5 x 10^-8 Tesla

E = 4.5 V/m

Relation between electric field and magnetic field in electromagnetic wave are given by:-

c = E / B

Where, c= velocity of light in vacuum,

e = electric field and ,

B= magnetic field.

B = E / c

B = 4.5 / ( 3 x 10^8)

B = 1.5 x 10^-8 Tesla

With increasing distance and vice versa, the strength of the magnetic field created by an electric current diminishes. Magnetic field lines form concentric circles, and as one moves away from a conductor, the radius of these circles grows, demonstrating a decreasing magnetic field.

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The angular speed of the wheel in radians per second is 1.17 radians/s.

Find the circumference of the wheel.

Angular speed is the rate at which an object rotates or revolves around an axis or center. It is usually measured in radians per second or revolutions per minute (rpm).

Circumference = 2πr

r = 20 cm

Circumference = 2π (20 cm) = 40π cm

Find the linear speed.

Linear speed = 47 cm/s

Find the angular speed.

Angular speed = Linear speed/Circumference

Angular speed = 47 cm/s/40π cm

Angular speed = (47/40π) radians/s

Angular speed = 1.17 radians/s

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The magnetic flux through this surface is 7.5 × [tex]10^{-5}[/tex] Wb, for the solenoid with the given radius and length carrying a current of 3 Amperes.

The surface integral of the normal component of the magnetic field B over a surface is known as the magnetic flux through that surface. The standard notation is Φ or ΦB. The weber is the SI unit for magnetic flux, and the maxwell is the CGS unit.

Calculation:

It is given that,

Radius of the solenoid, r = 5 cm = 0.05 m

Length of the solenoid, L = 5 m

No of turns, N = 8000

Current, I = 3 A

The radius of the circular plane surface, r' = 2 cm = 0.02

Area of the circular surface,

A = π × r² =  π × (0.02)²= 0.00125 m²

The magnetic flux through this surface is given by :

∅ = B × A

B is the magnetic field of the solenoid,

∅  = μ₀ × N/L × I × A

∅  = 4π × [tex]10^{-7}[/tex] × 8000/5 × 3 × 0.00125 m²

∅  =  7.5 × [tex]10^{-5}[/tex] Wb.

Hence, the magnetic flux through this surface is 7.5 × [tex]10^{-5}[/tex] Wb, for the solenoid with the given radius and length carrying a current of 3 Amperes.

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Answer:

d

Explanation:

Density, temperature, and pressure increase as you move inward in the interior of the Sun. This means that the weight of the star pushing inward at a given radius _________ as you move inward toward the core.

a. increases

b. decreases

c. stays the same

d. There is not enough

The thrust for each of four engines is3.42 m/s^2.

Calculation:

F = 4 *  5999N = 23,996 N.

  F = ma =23,996 ,

6999*a = 23,996 ,

 a =23,996 / 6999 = 3.42 m/s^2.

Acceleration (a) is defined as the product of the change in velocity (v) and the change in time (t) in the equation a = v/t (t). You can use this to get the change in velocity in m/s2 (meters per second squared).

The rate at which velocity changes is known as average acceleration: Where an is the average acceleration, v is the velocity, and t is the time, we have -a=vt=vfv0tft0. (Average acceleration is indicated by the bar ).

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The speed of the water leaving the end of the hose is 47.2 cm/sec means that the water is flowing with a distance of 47.2 cm in one second.

The rate of change of position of an object in any direction is called speed. Speed is measured as the ratio of distance to the time in which the distance was covered.

Speed is a scalar quantity as it has only direction and no magnitude. Dimensional formula of Distance = M0L1T-1

There are four types of speed and they are, Uniform speed, Variable speed, Average speed, Instantaneous speed. The invention of the calculus supplied the mathematical rigor to the above definition, and the final solution to the problem of the measurement of motion.

Given,

Radius=  0.0137 m

Area = π*(0.0137)^2 = 0.00058935 m^2

                                 = 5.89 cm^2

volume filled in 3 sec = 25 L

Rate = 25/3 = 8.33 cm^3/sec

Rate=area*velocity(v)

v = 8.33*1000/5.89

v = 47.2 cm/sec

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The use of IR sensor is object detection (option A).

An infrared (IR) sensor is an electronic device that measures and detects infrared radiation in its surrounding environment.

Infrared is the electromagnetic radiation of a wavelength longer than visible light, but shorter than microwave radiation, having a wavelength between 700 nm and 1 mm.

IR is invisible to the human eye, as its wavelength is longer than that of visible light (though it is still on the same electromagnetic spectrum).

Therefore, IR sensors can be used to identify objects.

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The Magnitude of current is 0.087A.

Given- length of line = 40 cm = 0.4 m

Livery magnetic field = 0.04 Tesla

magnetic force = 0.0140 N

Direction of inflow of current is unknown.

To cipher the magnitude of current we can employ following equation-

Force = LBi

where this force is called Lorentz force.

This is net magnitude of force to offset the magnetic effect as per faraday.

L, B, i represents length of the line, magnetic field and current factor.

Just substituting the values.

= 0.400 *0.4 * i

i = 0.087 A

Therefore, the current produced by the force is 0.087A

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Answer:

takes a long time to come, so you get to observe theirs as a science experiment.

Explanation:

The height of the bungee jumper from the earth, given that it has a mass of 78 Kg is 134.17 m

From the question given above, the following data were obtained:

Considering the above data, we can determine the height of the bungee jumper as follow:

PE = mgh

102562 = 78 × 9.8 × h

102562 = 764.4 × h

Divide both sides by 764.4

h = 102562 / 764.4

h = 134.17 m

Thus, we can conclude that the height is 134.17 m

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Answer:

trust the process

Explanation:

quadratic formula, use synthetic division also use the p-q method for the roots and factoring.

Average velocity depends on the molar mass of the molecule, and it is highest for [tex]H_{2}[/tex]. Average kinetic energy is the same for all molecules, at a constant temperature, because it does not depend on molar mass.

An object's kinetic energy is the energy it has as a result of motion. It is described as the effort required to move a mass-based body from rest to the indicated velocity.

The sum of all the atoms' individual masses in grams that make up a mole of a specific molecule is known as the molar mass, sometimes referred to as molecular weight. Grams per mole is the unit of measurement.

Hence, average velocity depends on the molar mass of the molecule, and it is highest for [tex]H_{2}[/tex].

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(Option C) The car is stopped on a hill. When a car is stopped on a hill, a net force is acting on the car due to gravity.

When a car is stopped on a hill, it is experiencing a net force due to gravity. This force is the result of the downward pull of gravity and the car's brakes, which counteract the gravity and keep the car from rolling down the hill. The car is essentially in a state of equilibrium since the opposing forces of gravity and the brakes are equal and opposite, meaning the net force on the car is zero. However, if the brakes were to suddenly fail, then the net force on the car would be the downward pull of gravity, causing the car to roll down the hill.

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Note that this is a trick question. It is true that the mass of a star affects its life cycle but all stars must go through the stages listed below. Note that the larger the solar mass of a star, the shorter its life cycle. Hence, in each of the stages given here is what will occur:

Prenatal Stage

Birth Stage

Adolescence/Adulthood

Middle age

Old age

Death

The solar mass is a unit of mass used to measure the masses of objects in the solar system, including stars. It is defined as the mass of the Sun, which is approximately 1.989 x 10³⁰ kilograms, or about 333,000 times the mass of the Earth.

Hence, since the earth's sun is 1.989 x 1010³⁰ kilograms, a star described as having 1 solar mass is simply a star equivalent of the Earth's sun.

Note however that the solar mass is often used as a standard unit of mass for comparing the masses of objects in the universe, such as planets, asteroids, and stars.

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Full Question:

Compare the following stages in the lives of a human being and a star: prenatal, birth, adolescence/ adulthood, middle age, old age, and death. What does a star with a solar mass of 1 solar mass do in each of these stages?

a)The 5.00 of peanut has 5.73 Kcal/g of energy.

b)On comparing our answer to the label on package of peanut , it is found that the values are approximately same, the variation is due to the quality of peanuts.

a)

Given,

mass of peanut = 5.00 g

mass of water = 0.500 kg

mass of aluminium cup = 0.100 kg

temperature change = [tex]54.9 \textdegree C[/tex]

it is given that the heat from burning peanut is transferred to water and aluminium cup then,

the heat gained by water is [tex]Q_w=m_wC_w \Delta T[/tex]

Where,

[tex]m_w[/tex]= mass of water

[tex]C_w[/tex]= specific heat of water i.e.4184 J/kg°C

[tex]\Delta T[/tex]= change in temperature

[tex]Q_w[/tex][tex]=0.5*4184*54.9=1.15*10^5 J[/tex]

Now, the heat gained by aluminum cup is[tex]Q_{Al}=m_{Al}C_{Al} \Delta T[/tex]

Where,

[tex]m_{Al}[/tex]= mass of aluminium cup

[tex]C_w[/tex]= specific heat of water i.e.900J/kg°C

[tex]\Delta T[/tex]= change in temperature

[tex]Q_{Al}=0.1*900*54.9=4.94*10^3J[/tex]

then , the total heat gained by water and aluminium cup is

[tex]Q_T=(1.15*10^5)+(4.94*10^3)=1.20*10^5 J[/tex]

So,[tex]Q_T[/tex] is the heat transferred by burning of peanut to water and cup then the amount of heat for peanut will be same as [tex]Q_T[/tex],

[tex]Q_T=Q_{peanut}=1.20*10^5 J=\frac{1.20*10^5}{4184}=28.6 Kcal[/tex]

So, 5.00 g for peanut has 28.6 Kcal of energy then 1 g of peanut has [tex]\frac{28.6}{5}=5.73 Kcal.[/tex]

Hence, the 5.00 of peanuts have 5.73 Kcal/g of energy

b)

When we compare our answer to the label on the peanut package, we discover that the values are nearly identical; the difference is due to the quality of the peanuts.

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6 N is the frictional force between the block and surface.

In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.

A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs .

Variety of Forces :

* Muscular Forces, muscular tissues features to produce a ensuing force which is referred to as 'muscular force'.

* Frictional Forces, while an item modifications its nation motion, 'frictional pressure' acts upon.

* Carried out pressure.

* Tension force.

* Spring force.

* Gravitational pressure.

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The gravitational force between the large ball and the small ball, given their respective masses is 1.2×10¯¹³ N

Gravitational force between two objects is given as shown below:

F = GM₁M₂ / r²

Where

Using the above formula, we can obtain the gravitational force between the the large and small ball as follow:

F = GM₁M₂ / r²

F = (6.67×10¯¹¹ × 5.0×10⁻³ × 9.0×10⁻²) / 0.5²

F = 1.2×10¯¹³ N

Thus, the gravitational force is 1.2×10¯¹³ N

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The best tool to add waves to straight hair is a curling iron or curling wand. You have total control over the size and positioning thanks to them.

These instruments can assist you in achieving your ideal appearance, but they can also cause heat damage to your hair. According to Phys.org, studies have shown that flat irons and curling irons can char 85% of the keratin proteins in your hair, making it dry and brittle.

Daily bicep curling will enhance exposure to factors that encourage muscle growth. Because the biceps are a smaller muscular group, they recover more quickly between sessions, allowing for a higher overall volume over the course of a given week.

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It can be said that the speed is v=3.9.0m/s

given data use for calculation:-

Generally the equation for the kinetic energy  is mathematically given as

K.E. = 1/2 m v2

K.E.=1/2*.008*(400*400)

K.E.= 640J

therefore velocity:-

[tex]V^{2}[/tex]= 2*KE/m

V= 3.9 m/s.

The energy an object has as a result of motion is referred to as kinetic energy. If we want to accelerate an object, we must exert force. To apply a force, we must work hard. When the work is done, energy will have been transferred to the item, causing it to move at a new, constant speed.

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Heat transfer (in j) occurs from a system Q = - 156 J.

We use thermodynamics principles in this situation. There are already obtained relationships for intense properties like internal energy (U), heat transfer (Q), and work (W) that were based on differential equations. The formula is

ΔU = Q + W

But since these factors depend on their signs, we must remember to take them into account. Van Ness, Smith, and Abbott assert that declining has a negative sign convention. If work is being done ON the system, the sign is positive; however, if work is being done BY the system, the sign is negative. in this instance,

ΔU = - 200 J\sW = - 44 J

In that case, Q can be found.

-200 J = Q - 44 J

heat transfer (in j) occurs from a system Q = - 156 J.

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The thin film developed on sliding wire is 0.018m.

If the thermodynamic properties of the thin liquid films formed between the particles and the subsequent chemical reactions are ignored, the phenomena that occur after the addition of water to PbO can be explained simply as follows:

(a) initially the PbO particles are hydrated and their surface is covered with absorbed water.

(b) a wedge of liquid forms at the points of contact between the particles.

(c) this wedge forms water rings on the surface of the partially wetted particles in the contact regions.

(d) these rings exert cohesive forces that hold separate particles together in a largely loose system.

S=w/2l

l=w/2S

I=1.8/2x 0.50=1.8cm =0.018m

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Solving the acceleration is S=ut +1/2at^2, S=27

v 2 = v 0 2 + 2 a ( x − x 0 ) ( constant a ).

Sn = u + a (n – ½). Hence, the formula for distance travelled in nth second is given by, Sn = u + a (n – ½).

distance = speed × time.

Where

S is displacement

u is initial velocity =0 (as the body is at rest)

a is acceleration

t is time taken

So,

S=1/2at^2

S=1/2 ×6×3 ×3

S=3×3 ×3

S=27

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Answer:

The battery is connected to a series-parallel combinationof capacitors.The two rightmost paralle

a)The  the repulsive force between the 2 protons that are 2 fm apart is 30.6N.

b)The attractive gravitational force between the to protons that are 2 fm apart is [tex]2.27*10^{-35}N[/tex]

c)Because both charges are of the same type, gravitational force is much smaller than repulsive force. The same charges repel one another.

Given,

Distance between the protons ,d = 2 fm = [tex]2*10^{-15} m[/tex]

Charge of proton = [tex]1.67*10^{-19}C = 1.67*10^{-27} kg[/tex]

a)

The repulsive force between the two protons can be calculate by formula,

[tex]F=k\frac{q_1q_2}{d^2}[/tex]

Where, _1 and q_2 are charge of protons and d is distance between them.

k=[tex]8.988*10^9 N.m^2/C^2[/tex]

[tex]F=8.988*10^9(\frac{1.67*10^{-19}}{2*10^{-15}})^2=30.6N[/tex]

b)

The attractive gravitational force between the protons can be calculated by formula,

[tex]F=G\frac{m_1m_2}{d^2}[/tex]

Where, G=gravitational force = [tex]6.67*10^{-11}Nm^2/kg^2[/tex]

[tex]F=6.67*10^{-11}(\frac{1.167*10^{-27}}{2*10^{-15}})^2=2.27233903428*10^{-35}[/tex]

The gravitational force between the protons is [tex]2.27*10^{-35} N.[/tex]

c)

The gravitational force is very much smaller compared to repulsive force because both the charges are of same type. and same charges repel each other.

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The binding energy per nucleon = 1.368*10^-12

What is energy?

Energy, which is observable in the performance of work as well as in the form of heat and light, is the quantitative property that is transferred to a body or to a physical system in physics. It is a mechanically accepted quantity.

The mass of a proton is 1.00728 amu

The mass of a neutron is 1.00867 amu

The mass of a cobalt-60 nucleus is59.9338 amu

Step 2: Calculate binding energy

The mass defect = the difference between the mass of a nucleus and the total mass of its constituent particles.

Cobalt60 has 27 protons and 33 neutrons.

The mass of 27 protons = 27*1.00728 u = 27.19656 u

The mass of 33 neutrons = 33*1.00867 u = 33.28611 u

Total mass of protons + neutrons = 27.19656 u + 33.28611 u = 60.48267 u

Mass of a cobalt60 nucleus = 59.9338 amu

Mass defect = Δm = 0.54887 u

ΔE =c²*Δm

ΔE = (3.00 *10^8 m/s)² *(0.54887 amu))*(1.00 g/ 6.02 *10^23 amu)*(1kg/1000g)

Step 3: Calculate binding energy per nucleon

ΔE = 8.21 * 10^-11 J

8.21* 10^-11 J / 59.9338 = 1.368 *10^-12

Complete Quetion:-The mass of a proton is 1.00728 amu andthat of a neutron is 1.00867 amu. What is the binding energy pernucleon (in J) of a Co nucleus? (The mass of a cobalt-60 nucleus is59.9338 amu.) a. 3.039× 10^-12 b. 2.487 × 10^-12 c. 7.009 × 10^-14 d. 1.368 × 10^-12 e. 9.432 × 10^-13

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