if q = (10 - [tex]10e^{-2t}[/tex])mC, find the current at t=0.5

Answer:

Below

Explanation:

Here is one possibility:

Vertical components added together = 80 sin 120 + 0 = 69.28

Horizontal components  = 80 cos 12 0  + 100 = 60 N

Resultant magnitude =   sqrt ( 69.28^2 + 60^2) = 91.65 N

    Angle = arctan (69.28/60)=49.1°

Answer:

See below

Explanation:

The energy is her Potential Energy acquired by her doing work against gravity to climb up the rope ladder to the height of the zip line start.

Answer: 35 m/s

Explanation: Gravitational acceleration only affects the vertical component of motion meaning the horizontal component never changes. This means 35 m/s is the correct answer.

A projectile is fired horizontally at an initial horizontal speed of 35 meters per second from a height of 65 meters, after falling 25 meters, the projectile's horizontal speed is 35 m/s.

The distance traveled 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 number.

Speed is calculated using the formula s=d/t, where s is the speed in m.s⁻¹, d is the distance in m, and t is the time in s.

Variable speed is when an object travels a different distance at the same time intervals, whereas uniform speed is when an item travels the same distance at the same time intervals.

Therefore, after falling 25 meters, the projectile's horizontal speed is 35 m/s.

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A thick filament will draw more current than a tiny wire linked across the same potential difference because it has lower resistance.

The voltage drop across each bulb is 6.0 V when the light bulbs are linked in parallel, and they all glow as the current passing through them combines to generate the current flowing through the battery. It is accurate to say that a battery experiences more electrical resistance than the resistance when two bulbs are linked in series.

A filament lamp's resistance rises as the potential difference widens because the filament gets hotter. The current is produced by the flow of electrons, which also causes the atoms inside the filament to vibrate more rapidly, which causes the filament to heat up.

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Cu = 0.385 J/gC, show smallest temperature change upon gaining 200 J.

Calculation:-

50.0 g Cu , Cu = 0.385 J/gC, will show the smallest change in temperature.

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius.

In A  temperature change = (50 × 0.903)/ 200 = 0.22575 °C

In B temperature change = (50 × 0.385)/200 = 0.09625 °C,

Therefore, 50.0 g Cu , Cu = 0.385 J/gC, will show the smallest change in temperature.

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Disclaimer:- Your question is incomplrte, please see below for complete question.

which of the following (with specific heat capacity provided) would show the smallest temperature change upon gaining 200.0 j of heat? which of the following (with specific heat capacity provided) would show the smallest temperature change upon gaining 200.0 j of heat?

a. 50.0 g fe,

b. 0.385 J/gC

c. both

d. none

Answer:

windmill, device for tapping the energy of the wind by means of sails mounted on a rotating shaft. The sails are mounted at an angle or are given a slight twist so that the force of wind against them is divided into two components, one of which, in the plane of the sails, imparts rotation.

Explanation:

The use of windmills was increasingly widespread in Europe from the 12th century until the early 19th century. Their slow decline, because of the development of steam power, lasted for a further 100 years. Their rapid demise began following World War I with the development of the internal-combustion engine and the spread of electric power; from that time on, however, electrical generation by wind power has served as the subject of more and more experiments

To work efficiently, the sails of a windmill must face squarely into the wind, and in the early mills the turning of the post-mill body, or the tower-mill cap, was done by hand by means of a long tailpole stretching down to the ground. In 1745 Edmund Lee in England invented the automatic fantail. This consists of a set of five to eight smaller vanes mounted on the tailpole or the ladder of a post mill at right angles to the sails and connected by gearing to wheels running on a track around the mill

The most important use of the windmill was for grinding grain. In certain areas its uses in land drainage and water pumping were equally important. The windmill has been used as a source of electrical power since P. La Cour’s mill, built in Denmark in 1890 with patent sails and twin fantails on a steel tower. Interest in the use of windmills for the generation of electric power, on both single-user and commercial scales, revived in the 1970s.

A) The initial kinetic energy of the bullet is 722J

B) Kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum  0.68J

C)  The vertical height through which the pendulum rises  0.69cm

The following data-

Mass of the bullet - 10.0g

speed - 380m/s

mass of the pendulum - 10.0kg

length of cord - 70.0cm

To find the initial kinetic energy of the bullet -

KE=1/2mv^2

KE = 1/2 x 0.010 x 380^2

KE= 722J

initial kinetic energy = 722 J

To find the Kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum, we need to first find the final velocity and vertical height through which pendulum rises-

we will find final velocity by applying the law of conservation of momentum

We know, Momentum of bullet is equal to the sum of the momentum of bullet and pendulum.

MbVb= (Mb+Mp)V

where,

Mb= mass of bullet

Mp = mass of pendulum

Vb = velocity of bullet

V = Final velocity

0.010 x 380 = ( 0.010 + 10)V

3.8 = 10.01V

V = 3.8/10.01

v = 0.37m/s

The final velocity = 0.37m/s

now, to find the vertical height

height = V^2/2g

= 0.37^2/2 x 9.8

= 0.136/19.6

= 0.00693m

converting to cm

0.00693 x 100 = 0.69 cm

To find the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum -

KE = 1/2 (Mb + Mp)V^2

KE = 1/2 ( 0.010 + 10) x 0.37 ^2

KE = 1/2 ( 10.01) x 0.1369

KE = 0.68J

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The reason solids don't fall through one another is because Electrical forces.

What are electrical force?
Electric force is the attractive or repulsive interaction at all between the two charged bodies. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so. One of the many forces that affect objects is the electric force.

To analyse the motion caused by that kind of force as well as combination of forces, Newton's laws are applicable. The analysis starts with the creation of a free body image, where the vector represents the individual forces' types and directions in order to calculate their sum, known as the net force, which can be used to calculate the body's acceleration.

Hence the answer is electrical forces.
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The cube will float.

The upward buoyant force that is applied to a body submerged in a fluid, whether wholly or partially, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid, according to Archimedes' principle.

Given parameters:

The average density of an object is 0.46 kg/m³.

The density of olive is oil 0.92 kg/m³.

As The average density of an object  < density of olive oil; the liquid displaced by the object has more weight than the weight of the object.

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Answer:

100 m/s^{2}

Explanation:

the given information we have is:
vi = 30m/s

vf = 20m/s

t = 0.10s

we need to find a so we will use the following kinematics equation

[tex]vf=vi+at[/tex]

we can rearrange the equation so it will give us our desired answer like so:

[tex]a = \frac{vf-vi}{t}[/tex]

now we can plug in our given numbers

[tex]a = \frac{20 m/s - 30 m/s}{0.10s}[/tex]

which will equal

[tex]100 m/s^{2}[/tex]

Answer:

F = q V X B = I L X B     are descriptions of the force on a moving charge

Suppose that a battery terminal is + on the left connected by a wire to    a - charge on the right, the X indicates a cross product so the force on the moving charge is perpendicular to both the magnetic field and the moving charge.

If one wraps the hand around the wire with the thumb pointing in the direction of the "conventional" current, the induced field will be in the direction of the fingers - V X B is the cross product of the moving charge and the magnetic field;
Note q V = q L / t = (q / t) * L = I L

The correct Option is Always true.

According to Archimedes' principle when an object is immersed in a liquid, and it is either partially or wholly submerged, the upward force that acts on the object, is known as buoyancy force and it is equal to the weight of the liquid displaced by the object.

So, the buoyancy force is always present whenever an object is placed in a liquid. Archimedes' principle proves that The magnitude of buoyancy force is always equal to the weight of the fluid  displaced by the object

Hence the correct option is Always.

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The complete Question is :

An object is placed in a fluid and then released. Assume that the object either floats to the surface (settling so that the object is partly above and partly below the fluid surface) or sinks to the bottom. (Note that, for Parts A through D, you should assume that the object has settled in equilibrium.)

A.Consider the following statement: The magnitude of the buoyancy force is equal to the weight of fluid displaced by the object.

Under what circumstances is this statement true?

A. always

B. only for an object that floats

C. only for an object that sinks

D. never

The highest height attained is 2gu.

The vertical velocity is 0 at its highest point. Once more increasing in magnitude as the item descends back toward Earth, the vertical velocity now faces away from the initial vertical velocity.

0 m/s. Any projectile at its highest point has an instantaneous speed of zero. The time to reach maximum height is equal to the time to arrive at the destination since gravity accelerates the ball by the same amount whether it is moving up or down.

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The angle at which a ray of light strikes a pane of window glass is smaller than the angle at which it passes out the other side.

When light go through window glass it will experience refraction due to change of light speed. The relation between angle of incidence and angle of refraction is given by the Snell's law:

n₁ sin∅₁ =  n₂ sin∅₂

Where:

n₁ = incident index (refractive index of medium 1)

n₂ = refraction index ((refractive index of medium 2)

∅₁ = incident angle

∅₂ = refraction angle

Typical refractive index for glass is around 1.5 while refractive index for air is 1.000273.

In the given case, the ray of light is from the window glass and pass out the other side. Hence,

n₂ = air

n₁ = glass

Since  n₁ > n₂ , the velocity in the air is greater than the velocity in the window glass. Hence, ∅₁ < ∅₂  or the incident angle is smaller than the refracted angle.

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In order to lift a bucket of concrete, you must pull up harder on the bucket than it pulls down on you is referred to as a false statement.

This is referred to as an external agent which is capable of influencing the motion of an object or body. It is also capable of changing the state of rest of a body and the unit in Newton.

When lifting the bucket, the total opposite forces and not only the weight which is what pulls it down must be overcome in other to lift the object or body successfully which is why false was chosen.

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Using the Time period formula for a Satellite,

the radius of orbit from earth center is 6.7590.

Time period : The satellite period is the time it takes for a satellite to make one orbit around the Earth, denoted by T. Therefore, T = distance traveled in 1 revolution/orbital velocity = 2πr/V.

We have the following information,

the Satellite revolves the earth twice in a day .

As we know,

mass of the earth(M) is 5.97 × 1024 kg

Gravitational constant (G)= 6.67 × 10-11 Nm²/kg²

The time taken to complete two rounds is a day. Time taken by the satellite in one alone will be cost to one by the day i.e., T = 24 hours

The time period of the satellite must be equal to

2T = 2×24×60×60 sec = 172800 sec.

According to Kepler's 3Rd law ,

T² = ( 4π²/GM )r³---(1)

where, T ---> time period

M --> mass of earth

G--> gravtional constant

r --> radius of orbit

putting all the values in above formula

(172800)² = ( 4×(3.14)²/(6.67 × 10-11 Nm²/kg²× 5.97 × 1024 kg))r³

=> r³ = (172800)²/96,720,640.93= 308.722

=> r = 6.75890 ~ 7

Hence, the radius of orbit is 6.75890

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50.0 g of water will require 3135  Joules energy is needed to change temperature by 15.0 C .

mass is 50 g

temperature is 15

Q=mC8ΔT

where,

m is mass of substance

C8=4.18 jouls /g

Q=50*4.18*15

Q=3135 J

The temperature is a numerical indicator of how cold or hot something is. One can measure temperature by using a thermometer. The calibration of thermometers involves using various temperature scales, which historically defined them using various reference points and thermometric materials. Several scales, including Fahrenheit and Celsius, can be used to express temperature, which is a unit of measurement. A hotter body (one with a higher temperature) will spontaneously move heat energy in the opposite direction to a cold body, as shown by temperature. the level of heat or cold in a body or environment the sensation of coldness or heat.

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The  approximate value for the specific heat capacity of water. is 4.2857 CGS unit.

The quantity of heat energy needed to raise a substance's temperature per unit of mass is known as specific heat capacity. A material's specific heat capacity is a physical characteristic. Since its value is inversely correlated with the size of the system under study, it is also an illustration of an extended feature.

An electric kettle has a power rating of 2000W means the kettle consumes 2000 joule in one second.

So,  In 90 seconds, it provide heat = 2000×90 joule

= 180000 joule

=  42857 calorie.

To heat 500g water from 20 degree Celsius to boiling, heat required = 500×s×20 caloric

=10000s caloric.

Where, s = specific heat of water.

So,

10000s = 42857

⇒ s = 4.2857.

Use this information to calculate approximate value for the specific heat capacity of water. is 4.2857 CGS unit.

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The net force on her as she emerges from the helicopter 588 N.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

The net force on her as she emerges from the helicopter 588 N.

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When two blocks are sliding on a frictionless surface ,Then speed of the two blocks after the collision is 2V.

A Frictionless surface refers to that kind of surface where the force acting on any object which makes it difficult for the object to slide is almost zero or negligible,

As per the given data

The mass of smaller box= m and velocity =v

And the mass of larger box =M and velocity =V

So the momentum ps=mv and pL= MV

And combined mass of both the boxes will be M+m

Hence the combined velocity after collision = Momentum of combination/Mass of combination

V=MV+mv/M+m

Then V =V+v

V=2V

Hence, When t wo blocks are sliding on a frictionless surface ,Then speed of the two blocks after the collision is 2V.

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L=1 is the only combination possible because l1=0 and l2=1. S=1,0 is one of the possible combinations of S. This indicates that M = 3 or M = 1. Term symbols will take the 1P and 3P forms.

A specific electronic state of an atom (often one with many electrons) is designated by an atomic term symbol in electronic spectroscopy by providing the quantum numbers for the angular momenta of that atom. An atomic term symbol's shape suggests Russell-Saunders coupling. When rotated about the internuclear axis, a sigma antibonding orbital in the * orbital family likewise keeps the same phase. S is the total sum of the spin vectors of all the electrons. Although subtle, the distinction between S and Ms is crucial for comprehending multiplicity.

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The glass & lead ball will both fall to the ground simultaneously. Galileo lowered two walls from the roof of Pisa. Whichever one lands on the ground first must be determined.

To shape metal, fill forming bags or use them as counterbalance. A minimum of 97% of the material is pure lead. All of these balls have precisely made for a flawless finish. They are additionally called lead shot.

Lead balls are frequently used in radiation protection for fill and melt into cracks and holes in lead shields in which other lead products, such as lead sheet or lead bricks, are inaccessible. The substance has a low point of melting and thus is simple to work with and quick to form a uniform barrier layer.

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The amount of potential electricity saved inside the marble decreases while its kinetic strength will increase.

In physics, the kinetic energy of an item is the electricity that it possesses because of its movement. it's far defined because the paintings needed to boost up a body of a given mass from relaxation to its said pace. Having received this electricity throughout its acceleration, the frame keeps this kinetic power except its speed changes.

Kinetic energy is a shape of energy that an object or a particle has by means of purpose of its motion. If work, which transfers strength, is carried out on an item by applying a net pressure, the object accelerates and thereby gains kinetic electricity.

Electric kinetic power truly explains the transit of the electrical electricity itself, power. as an instance, the electrical contemporary that includes the charge from a battery to the mild bulb is kinetic electricity.

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The magnitude of the net force on particle Q₂ is  6.487 x 10⁶ N.

The net force on particle Q₂ is obtained by applying Coulomb's law of electrostatic force.

Force between Q₁ and Q₂;

F₁₂ = kq₁q₂/r²

where;

F₁₂ = (9 x 10⁹ x 20.5 x 10⁻³ x 9.3 x 10⁻³)/(0.98)²

F₁₂ = 1.787 x 10⁶ N

Force between Q₂ and Q₃;

F₂₃ = kq₂q₃/r²

F₂₃ = (9 x 10⁹ x 9.3 x 10⁻³ x 31.6 x 10⁻³)/(0.75)²

F₂₃ = 4.7 x 10⁶ N

The net force on particle Q₂;

F(net) = F₁₂ + F₂₃

F(net) = 1.787 x 10⁶ N +  4.7 x 10⁶ N

F(net) =  6.487 x 10⁶ N

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The total momentum after the collision  is 1.80 kgm/s

Since we are provided with the mass of both the objects which is  1. 00 kg and there were moving towards each other before Collison under a closed system with the velocity of 1. 80 m/s.

Since the momentum of an object  is the magnitude of there mass imotion, the formula for calculating momentum is  = mass * velocity

So, the momentum of the objects before collisions are = 1 kg *1. 80 m/s

= 1.80 kgm/s ,. when two objects collide in a closed system, the total energy of the two objects before the collision is the same as the entire momentum of the two objects after the collision. The momentum of each object may change, but the entire momentum must stay the same.So the momentum after the collision is 1.80 kgm/s

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Answer: The correct answer is 0.00 kg · m/s.

Explanation:

The final velocity at the end of this time will be 200 [tex]m/s^{2}[/tex]

When any object is in free fall, then

The value of acceleration = g  [tex]m/s^{2}[/tex] = 10 [tex]m/s^{2}[/tex]

The initial velocity (u) = 0 m/s

Let the final velocity (v) = v m/s

The mass of the object (m) = 10 kg

Time taken to reach the ground = 20 s

We will calculate the height (s) from which the object falls,

We employ the 2nd equation of motion since the object is under constant acceleration,

We have,

[tex]s = ut +\frac{1}{2} at^{2}[/tex]

Putting the values in the equation, we get

[tex]s = 0 +\frac{1}{2} *10 *20^{2} \\\\s = 2000[/tex]

Thus, the height is 2000 m

Now, we apply the third equation of motion,

[tex]v^{2} -u^{2} = 2as[/tex]

Putting all the values, we get,

[tex]v^{2} -0^{2} = 2*10*2000\\\\v^{2} = 40000\\\\v = 200[/tex]

Hence, the final velocity at the end of this time will be 200 [tex]m/s^{2}[/tex]

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The magnetic field's interaction with the current segments does not result in any net force being applied to the wire's elope. A force is an influence that has the power to change how a body moves.

An electric charge, an electric current, and magnetic field's are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.

An influence that can alter an object's motion is called a force. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a state of rest).

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The independent variables of measuring physical properties are given below -

What is physical properties?

A physical properties in any property that is measurable, whose value describe a state of physical system.

The changes in the physical properties of a system can be used to describe its changes between the  momentary that state of

Physical properties are often referred to as observables.

They are not modal properties.

Any variable that can be attributed a value without attributes a value to any to any other variables is called independent variables.

It is a variable that stands alone and isn't changed by other variables you are trying to measure.

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