Help on solving this single logarithm

Help On Solving This Single Logarithm

Answers

Answer 1

log 8 + log 16 - log 2 = log64, In order to get another number, a number should be raised to a certain power, which is known as a logarithm.

The correct answer is A

Describe a logarithm.

A number must be increased to a specific power, or logarithm, in order to obtain another number. For additional information on exponents, visit Figure 3.3 of this Math Review. As an example, the base 10 logarithm of the number ten raised to the power of two two is two, or log 100, which equals two.

What does a number's log mean?

Exponentiation is a mathematical operation, and the logarithm, simply log, is its inverse. In other words, the log of a number is the value that a fixed base must be increased to in order to produce the value. Although technically any base can be used, the term "log" often suggests that base 10 is being used.

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Related Questions

Five gas molegules are choosen at random are found to have speed of 500,600,700, 800 and 900 m/s. Find the rms speed. Is it ghe same as average speed

Answers

Answer:

Explanation:

The rms speed:

Vrms = (500 + 600 + 700 + 800 + 900) / 5 = 700 m/s

At some point during construction, the International Space Station had a
mass of 235,565 kg. When it orbited the Earth at an altitude of 400,000 m,
what was the approximate gravitational force on the Station due to Earth's
gravity? (Recall that Earth has a radius of 6.37 x 106 m, it has a mass of 5.97
x 1024 kg, and G = 6.67 x 10-11 N•m²/kg².)

Answers

The gravitational force exerted on the Station by the gravity of the Earth is approximately 0.00026680N.

Give an example to define gravitational force.

The gravitational force is the force that the earth exerts on a body to attract it. Examples of motion caused by gravitational force include the downward motion of water in rivers and streams, the upward motion of thrown objects such as balls, and the downward motion of the leaves and fruits of trees as they fall to the earth.

Where is gravity located?

All objects with mass are attracted to one another by the gravitational attraction, which has a magnitude that is directly proportional towards the masses of the two objects & directly proportional to the distance of their distance from one another gravitational force

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A body of mass 2kg falls freely from rest through a height 8m onto a hard floor bounces back to a height of 2m. calculate the change of momentum, if the bady is in contact with the floor for 0.1s, what is the force exerted on the body? (g=10ms^2)​

Answers

The force exerted on the body is 12.66 N.

Linear momentum, translational momentum, or clearly momentum is the made of the mass and velocity of an item. it's miles a vector amount, possessing significance and a path. If m is an object's mass and v is its speed.

Given;

mass = 2 kg

height = 8m

bounce height = 2 m

let velocity just before striking the floor is initial velocity 12.65 m/s

the potential energy at 8 m = mgh

                                        = 2 ×10× 8

                                        = 160 J

same converted into kinetic energy 160 J = 1/2 mv²

                                                               V² = 320/2

                                                                v = 12.65 m/s

Final velocity

mgh = 1/2 mv²

2×10×2 = 1/2×2 × v²

v² = 6.32 m/s

Acceleration = change in velocity per unit of time

                      = - 6.32 - (-12.65)  = 6.33 m/s² / 0.1

Force = mass × acceleration

          = 2 ×  6.33 m/s²

           = 12.66 N

Momentum may be described as a mass in motion. All objects have mass; so if an object is transferring, then it has momentum - it has its mass in movement. the quantity of momentum that an item has depends upon variables: how an awful lot of stuff is moving and the way speedy the stuff is moving.

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which of the following are decomposition reactions?
a. CH^4 (g) + 20^2 (g) ->CO^2 (g) + 2H^2O (g)
b. CaCO^3 (s) -> CaO (s) + CO^2 (g)
c. N^2 (g) + 3H^2 (g) -> 2NH^3 (g)
d. 2H^2O (i) -> 2H^2 (g) + O^2 (g)

Check all that apply

Answers

The correction options indicating a decomposition reaction are:

B. CaCO₃ -> CaO + CO₂D. 2H₂O -> 2H₂ + O₂

What is a decomposition reaction?

This a reaction in which a compound breaks down into smaller elements or compound by the application of heat. Example is given below:

AB₂ -> A + B₂

We can see that AB₂ decomposed to produce A and B₂

With the above information in mind, we can easily determine which reaction is decomposition reaction from the given options.

The options from the question are:

A. CH₄ + 2O₂ -> CO₂ + 2H₂OB. CaCO₃ -> CaO + CO₂C. N₂ + 3H₂ -> 2NH₃D. 2H₂O -> 2H₂ + O₂

Observing the given options with the knowledge of decomposition reaction, we can conclude that the correct options are:

B. CaCO₃ -> CaO + CO₂D. 2H₂O -> 2H₂ + O₂

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The United States Navy Diving Manual contains a wealth of information about diving from the history of diving to underwater physics and physiology. Start by browsing the U.S. Navy Diving Manual (located within the weekly readings) and then post a response to the following questions: How do the pressure variations with depth affect our ability to explore the ocean? In particular, what are some of the challenges of scuba diving?

Answers

The answers include the following:

The increase in the pressure is directly proportional to the depth and affects our ability to explore the ocean as the water pressure slows it down.The challenges of scuba diving include decompression sickness and drowning.

What is Pressure?

This is referred to as the force per unit area of a substance and the unit is Pascal. This parameter varies with depth such that the higher the pressure, the deeper the ocean or water body and vice versa.

The pressure variations affects the ability to explore the ocean such that it exerts a force on the diver thereby slowing him/her down and also not being able to reach certain areas.

The challenges of scuba diving include drowning and decompression sickness which is characterized by dissolved gasses exiting solution to form bubbles inside the body.

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if the wet bulb depression is 3° and the dewpoint is 24°, what’s the relative humidity?

Answers

The relative humidity (RH) where the Wet Bulb Depression is 3° and the Dewpoint is 24° is given as 78.92%.

What is relative humidity?

Relative humidity (RH) is a percentage ratio of the quantity of atmospheric moisture available to the amount that would exist present if the air was saturated.

The relationship between Relative Humidity, Air Temperature, and Dewpoint is given as follows:

RH = 100 *[[tex]e^{\frac{(\beta * Dp)}{(\lambda + Dp)}}[/tex] / [tex]e^{\frac{(\beta * T)}{(\lambda + T)}}[/tex]]

Where

RH = Relative Humidity

T = Air Temperature

Dp = Dewpoint

β = 17.625 and λ = 243.04°C; (revised Magnus coefficients)

e = 2.7182818 [exponential constant]

Note that Air temperature (T) is determined using the attached Dewpoint Psychrometer Table /chart

As given on the chart and in the question;
T = 28°

Dp = 24°

Hence,

RH = 100 x [[tex]e^{\frac{(17.625 * 24)}{(243.04+ 24)}}[/tex] / [tex]e^{\frac{(17.625 * 28)}{(243.04+ 28)}}[/tex] ]
RH = 100 x [ [tex]e^{(423/267.04)}[/tex] )/ [tex]e^{(493.5/271.04)}[/tex]]

RH = 100 x [[tex]e^{1.584}[/tex]/[tex]e^{1.8207}[/tex]]

RH = 100 x (4.874414/6.176578)

RH = 100 x 0.789177113929

RH = 78.9177113929

RH [tex]\approx[/tex] 78.92%

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Nabil wants to work out the density of a pebble. He has a displacement can and a beaker. What other piece of equipment will he need?

Answers

In order to determine the density of the pebble, Nabil requires a balance to measure the mass of the pebble.

What is the density of a substance?

The density of a substance is the measure of how tightly-packed the particles in the substance are.

Density is the ratio of the mass and volume of the substance.

Density = mass/volume

To determine the density of a substance, the mass of the substance is measured with a balance and the volume of the substance if it is solid is measured using a displacement can and a beaker.

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Q)What is the force between two small charged spheres having charges of 2 × 10^–7C and 3 × 10^–7 C placed 30 cm apart in the air?​

Answers

The electrostatic force between the two charged spheres is determined as 6 x 10⁻³ N.

What is the electrostatic force between two charged objects?

The electrostatic force between two charged objects, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

F = kq₁q₂/r²

where;

K is Coulomb's constantq₁ is the first chargeq₂ is the second charger is the distance between the charges

F = (9 x 10⁹ x 2 x 10⁻⁷ x 3 x 10⁻⁷) / (0.3²)

F = 6 x 10⁻³ N

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A student throws a baseball vertically upward and then catches it. What would that graph look like?

Answers

Answer:When the body is thrown upwards, it moves up until the ball's velocity becomes zero and the force exerted on it becomes zero. After that, the ball reaches the ground with acceleration due to gravity with zero speed. When the ball goes up, the height of the ball increases and it also moves up.Formula = v2=u2−2gh ( Body is moving vertically upwards)

A projectile is launched horizontally on a table that it 40 cm high. The projectile lands 10 m away. What is the horizontal
velocity of the projectile as it leaves the launcher?

Answers

The horizontal velocity of the projectile as it leaves the launcher is 35 m/s.

What is the time of motion of the projectile?

The time of motion of the projectile is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

v is the initial vertical velocity = 0t is the time of motiong is acceleration due to gravity

h = 0 + ¹/₂gt²

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 0.4 / 9.8)

t = 0.286 s

The horizontal velocity of the projectile as it leaves the launcher is calculated as follows;

v = x/t

where;

x is the horizontal distancet is the time of motion

v = 10 m / 0.286 s

v = 35 m/s

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The electrical power of a circuit can be calculated by the equation P = V × I. The table below shows the different voltages that can be supplied to the circuit. If current stays the same, which voltage will most likely result in the smallest electrical power?


A B C D
100V 25V 5V 30V

A
B
C
D

Answers

Answer:  C.  5V

Explanation:

Since P = VI, power is directly proportional to voltage

If current is constant, then the lower the voltage, the lower the power. The lowest voltage shown is 5 Volts.

Metals are great conductors because

the electrons in the atoms are tightly bound and unable to move between other atoms
the electrons are able to move freely between the different energy levels within the atom
their atoms can move freely between other atoms
their atoms are tightly bound in their shells, which makes them unable to move between other atoms

Answers

Metals are great conductors because the electrons are able to move freely between the different energy levels within the atom.

What are conductors?

A substance or material that has the capability of conducting electricity or allows the passage of electricity to flow through it is known as conductor or electric conductor. The electrical charge carriers i.e., electrons or ions move easily from one atom to another when a voltage is applied on it.

The outer bound electrons of the metals are loosely bound  as the nucleus gets very less attracted on the electrons present on the outermost shell and because of this the charge carriers in them can move the current applied easily when there is a potential difference. Therefore, metals are considered to be the best conductors.

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Does the coaster car travel as high as point h

Answers

Answer:

no coaster car does not travel as high

Two protons (charge q= 1.602·10-19 C) move at the same speed v= 1.4 ·106 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r= 0.7 mm in the positive y-direction with respect to the one moving in the positive direction.

What is the magnitude of the magnetic field at the point of the proton moving in the negative direction?
B=


What is the magnetic force direction experienced by the proton moving in the negative direction?
FB=

Answers

(a) The magnitude of the magnetic field at the point of the proton moving in the negative direction is 2.1 x 10⁻⁹ T.

(b) The magnetic force direction experienced by the proton moving in the negative direction is 4.71 x 10⁻²² N.

What is the magnetic field due to the proton?

The magnitude of the magnetic field at the point of the proton moving in the negative direction is calculated as follows;

F = qvB = kq²/r²

qvB = kq²/r²

B = kq²/qvr²

B = kq/vr²

where;

k is coulomb's constantq is the magnitude of charge of the protonsr is the distance between the protonsv is the speed of the proton

B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.4 x 10⁶ x 0.7 x 10⁻³ x 0.7 x 10⁻³ )

B = 2.1 x 10⁻⁹ T

The magnetic force direction experienced by the proton moving in the negative direction is calculated as follows;

F = qvB

F = 1.602 x 10⁻¹⁹ x 1.4 x 10⁶ x  2.1 x 10⁻⁹

F = 4.71 x 10⁻²² N.

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ANALYSIS
1. Which has more kinetic energy:

a. A compact car going 70 mph or a tractor trailer going 15 mph?

b. An SUV going 30 mph or a pickup truck going 30 mph?

c. A school bus going 15 mph, an SUV going 35 mph, or a
compact car going 45 mph?

Answers

a) Tractor trailer will have more kinetic energy

b) kinetic energy of pickup truck will be more than a SUV

c) school bus will have the maximum kinetic energy

a) Tractor trailer will have more kinetic energy because its mass is way to heavy than that of compact car as kinetic energy is not only just dependent on velocity but also depend upon mass of that body .

b) since , speed of SUV and truck is same , but mass of the truck is more than SUV , hence kinetic energy of pickup truck will be more than a SUV .

C) Since , school bus carries number of passengers than SUV or compact car , hence school bus will have the maximum kinetic energy .

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What are the causes of different falls in the air?

A, Highlight drop drop

B, The Wind Blows

C, of object

D, Air resistance

Answers

D. air resistance

Hope it helps

I need help fast hurry

Answers

Sound waves are mechanical waves. They need a medium for propagation. In air the sound waves will travel smoothly and we can get it. Whereas  in vacuum, no medium is there and the sound waves cannot propagate.No sound can be produced there.

What is mechanical waves?

Mechanical waves are waves propagating through a medium such as air, water etc. There are two types of mechanical waves namely transverse wave and longitudinal waves.

In transverse waves, the vibration of particles is in a direction perpendicular to the wave whereas, in longitudinal waves,  both are in one direction. Sound wave is a longitudinal wave.

Unlike electromagnetic waves mechanical waves cannot be travelled in vacuum. Hence if we try to produce sound in space or vacuum,no effect will be there but in air and water sound waves can be propagated.

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what is the work done by a 20 newton force applied at an angle of 45.0° to move a box horizontal distance of 40 meters

Answers

The work done by a 20-newton force applied at an angle of 45.0° is 565.69 J.

Calculation:-

Force = 20 N

distance = 40 meters

angle = cos 45°

Work done = F.d cosθ

                 = 20×40 × 1/√2

                 = 800 / √2

                =  565.69 J

Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.

The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.

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Why is it important for your measurements that the track is level for rolling motion in physics?

Answers

It is important for the measurements that the track is level for rolling motion in physics because the rolling objects only move on the tract that is leveled correctly.

What do you mean by rolling motion?

The rolling motion is a fusion of translational motion and rotational motion. For a body, the motion of the center of mass is the adaptation motion of the body. During the rolling motion of a body, the exterior contact gets disfigured a little temporarily. A combination of translational and rotational motions happens during the rolling motion of an object. To define rolling motion, we must recognize the forces like angular momentum and torque. It is a merger of two types of motion i.e. translational and rotational motion. The translational motion of a body is the movement of the whole body from one place to another.

So we can conclude that Rolling motion is that usual combination of encircling and translational motion that we see everywhere and every day.

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3.2 Two ropes are tied to a fixed nail. The tension in the ropes is 10N and 20N respectively, while the angle between them is 120degrees. Calculate the magnitude and direction of the reaction to the nail.[8] 3.3. A person going for a walk follows the path shown in Fig.P3.59. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point?

Answers

3.2) the magnitude and direction of the reaction to the nail is 26.5 N towards the wall.

3.3) the person's resultant displacement measured from the starting point is  239.99 m.

3.2)

The tension in the rope 1 = 10N

The tension in the rope 2 = 20N

the angle between them = 120degrees

We have;

R² = 10² + 20² - 2(10 x 20)Cos(120°)

R² = 100 + 400 - 400Cos(120°)

R² = 500 + 200

R² = 700

R = 26.5 N

towards the wall.

3.3)Let alone having the graph's x axis and the West-East axis in a Cartesian coordinate system coincide.

Let's split the vectors up using trigonometry.

Aₓ = 100.0 m  

By = -300.0 m

angle measured from the positive side of the x-axis counterclockwise is

θ = 180 + 30 = 210

Cy = C sin 210° =  -75.0 m

Cₓ = C cos 210° = -129.9 m

The angle from the positive side of the x-axis counterclockwise.

θ = 180-60 = 120º

Dy = D sin 120 =  173.2 m

Dₓ = D cos 120 = -100.0 m

add the component Then we get :

x = Aₓ + Cₓ + Dₓ

x =  100 - 129.9 -100 = -129.9 m

y = By + Cy + Dy

Y = -300 - 75.0 + 173.2 = -201.8 m

Resulting vector calculated as :

[tex]R = \sqrt{x^2 + y^2}[/tex]

R = 239.99 m

3.2) the magnitude and direction of the reaction to the nail is 26.5 N towards the wall.

3.3) the person's resultant displacement measured from the starting point is  239.99 m.

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A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. What is the final vertical velocity of the projectile as it hits the ground?

Answers

A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. The final vertical velocity of the projectile as it hits the ground will be 216.36 m/s

s = u*t + 1/2 * a * [tex]t^{2}[/tex]

734.7 = 180 * t + 1/2 * g  * [tex]t^{2}[/tex]

734.7 =  180 * t + 1/2 * 9.8  * [tex]t^{2}[/tex]  

         = 4.9  [tex]t^{2}[/tex]   + 180 t - 734.7

by solving the above quadratic equation , we get

t = 3.71 seconds

v = u + at

v = u + g*t

v = 180 + (9.8)(3.71)

 = 216.36 m/s

The final vertical velocity of the projectile as it hits the ground will be 216.36 m/s

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4. A car is driving at 25 m/s (55 mph). The driver spots a deer jumping into the road. It takes
the driver 2 seconds to react and hit the brakes. Once the brakes are hit the car slows down at a
rate of 5 m/s/s. Calculate how long it takes to stop and how far the car travels during the
reaction time and stopping time.

Answers

1. The time taken for the car to stop is 5 s

2. The distance travelled during the reaction time is 50 m

3. The distance travelled during the stopping time is 62.5 m

1. How do I determine the time taken for the car to stop?

The time taken for the car to stop can be obtained as follow:

Initial velocity (u) =25 m/sDeceleration (a) = -5 m/s/s Final velocity (v) = 0 m/sTime taken to stop (t) =?

a = (v - u) / t

-5 = (0 - 25) / t

-5 = -25 / t

Cross multiply

-5 × t = -25

Divide both sides by -5

t = -25 / -5

t = 5 s

Thus, the time taken to stop is 5 s

2. How do I determine the distance travelled during the reaction time?

The distance travelled during the reaction time can be obtained as follow:

Velocity = 25 m/sReaction time (t) = 2 secondsDistance travelled =?

Distance travelled = velocity × reaction time

Distance travelled = 25 × 2

Distance travelled = 50 m

3. How do I determine the distance travelled during the stopping time?

Initial velocity (u) = 25 m/sDeceleration (a) = -5 m/s/s Final velocity (v) = 0 m/sStopping time (t) = 5 sDistance (s) =?

s = ut + ½at²

s = (25 × 5) + (½ × -5 × 5²)

s = 125 - 62.5

s = 62.5 m

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according to particle model of light what happens to the speed of light as it enters a optically denser medium.

Answers

According to particle model of light, speed of light decreases as it enters a optically denser medium.

Refraction occurs when a light beam crosses a barrier between two different materials. The ray changes direction and speed in accordance with the following relationship:

where n is the material's index of refraction, which is greater for a medium with a higher optical density, and v and c are the speed of light in a vacuum and the ray of light, respectively, in the material. As a result, the equation shows that the wave's speed decreases with increasing optical density.- Since the frequency of the light is independent of the characteristics of the medium, it is constant.

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4. Ebo throws the ball again at an initial velocity of 18 m/s but this time at an angle of 53° to the ground. a) Work out the velocity in component vector form. b) Why will the ball spend a longer time in the air than it did before. c) Calculate the range of the ball.​

Answers

16.52 m/s is the velocity  and  vcosθ is the velocity in component vector form.

velocity in vector form= vcosθ

vector form= vcosθ

vector form=18cos53

v=16.52 m/s

"The rate at which an item changes its location" is described by a vector number called velocity. Imagine someone walking quickly, one step forward, one step back, and starting each step from the same location. Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity. A velocity of 55 miles per hour is not sufficient information. It is necessary to account for the direction in order to accurately describe the object's velocity. Simply put, the direction of the velocity vector represents the motion of the object.

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If a Mack truck and a Honda Civic have a head-on collision, which vehicle will experience the greater force of contact? The greater impulse? The greater change in momentum? The greater acceleration? Discuss how a failure to distinguish between these concepts leads to difficulties in understanding physics!

Answers

The Honda Civic is the car that would have greater impulse, momentum change and acceleration due to Collison.

What is the impact?

The term impulse has to do with the product of force and time. The impact is literally the force that acts on an object for a short time. We know that the mass of the object is very important when we are discussing the impulse on the object.

When there is a  head-on collision that occurs between the  Mack truck and a Honda Civic, the Honda Civic would have the greater impulse and the greater change in momentum and thus the greater acceleration.

If we do not understand the concept of the effect of momentum and the acceleration of an object, we would not be able to understand the basic interaction that occur between objects using the principles of physics.

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What is the speed of the car with a distance of 100 meters in 35 seconds?​

Answers

Answer:

Formula

V = D/T

Resolve:

V = 100m / 35sV = 2m/5

Hope this helped

Hello..!

We first apply the data to the problem.

Data:

Depth = 100 metersT = 35sV = ?

Then, we apply the formula that is.

Formula:

V = D/T

Finally we develop the problem.

Developing:

V = 100m / 35sV = 2m/s

The speed is 2 meters per second.

Which factor will not affect the strength of a solenoid?
Question 2 options:

number of wraps

strength of current

color of the wire

adding an iron core

Answers

The color of the wire is a factor that will not affect the magnetic strength of a solenoid.

What is a solenoid?

A solenoid is a device that consists of a coil made of wire, a housing and a moveable armature. When an electrical current is flowing in the solenoid, a magnetic field forms around the coil which draws the plunger inside. A solenoid has the ability to convert electrical energy in the form of mechanical work.

The magnetic field created by a solenoid depends on the current and density of rounds. The energy density of the magnetic field depends on the strength of the magnetic field and also depends upon the magnetic permeability of the material present in it. Iron has a larger permeability as compared to a vacuum.

So we can conclude that option C is the correct answer.

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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400Joules of work is done, how much force must have been applied?(1 point)
100 N
4000N
1600N
800N

Does anybody know how to solve something like this? I'm going through my notes and lesson by I can't find anything! I NEED THIS TODAY!!!

Answers

The force that is applied 100 N.

What is the force applied?

We know that a lever is one of the kinds of simple machine that we have. The lever works by the fact that there is a load and an effort arm. We have been told that a  lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters.

We can get the force that must be applied from the fact that;

Work = Force * distance

Force = Work/Distance

Force = 400/4

Force = 100 N

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A television uses a current of 1.5A at 120V. The television is used for 2 hours. Calculate
the power used in kW and the energy used in kWh.

Answers

Answer:

the power used is 0.18kW and the energy used is 0.36kWh

Explanation:

from power= current × voltage

power= 1.5A × 120V

power= 180W or 0.18kW

energy used = power × time

= 0.18kW ×2h

energy used = 0.36kWh

Bill throws a 10.0-g ball straight down from a height of 2.0m. The ball strikes the floor at a
speed of 7.5 m/s. What was the initial speed of the ball?

Answers

The initial speed of the ball is 4.12 m/s.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given parameters:

Mass of the ball; M = 10.0 g.

Height from where ball straight down from : h = 2.0 m.

Final speed of ball; v = 7.5 m/s.

And we known that, acceleration due to gravity; g = 9.8 m/s²

We have to find:  the initial speed of the ball: u = ?

We know that, v² = u² + 2gh

⇒ u² = v² - 2gh

⇒ u² =( 7.5)²  - 2×9.8 ×2

⇒ u² = 17.05

⇒ u = 4.12 m/s.

Hence,  the initial speed of the ball is 4.12 m/s.

Learn more about speed here:

https://brainly.com/question/28224010

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