an airplane travels from a to b and back with no wind in 4h and 48 min; same airplane travels from a to b and back, with wind speeds of 100mph, and this time takes 5hrs instead; what is the distance between a and b?

Answers

Answer 1

The distance between the points A and B is 6000 miles.

Let us assume that the distance between the points a and b is D.

Now, we know, airplane takes 4 hours and 48 minutes to move from a to b and back with no wind

Let us say the speed of the airplane is V.

So, we know,

Average Speed = total distance/total time

The distance between a to b and back is 2D.

So, we can write,

V = 2D/4.8

2D = V(4.8)

With wind of speed V'=100mph, it take 5 hours for the airplane to go from a to b ane back.

The average velocity of airplane in wind is,

V + V' = 2D/5

Putting value of 2D,

V + V' = V(4.8)/5

5(V + 100) = 4.8V

5V + 500 = 4.8V

0.2V = -500

V = -2500mph

The negative sign only means that we have taken the opposite direction, so that is not a problem and we can ignore it,

So,

We know,

2D =V(4.8)

D = 2500(4.8)/2

D = 6000 miles.

So, the distance between the two points is 6000 miles.

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Related Questions

an archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.15 m/s on a smooth, slippery surface. the 22.5-g arrow is shot with a speed of 42.0 m/s and passes through the target, which is stopped by the impact. what is the speed of the arrow after passing through the target?

Answers

24.46 m/s is the speed of the arrow after passing through the target.

p=mv

Conservation of momentum: m1v1=m2v2

The target has a mometum of -(.3kg)(2.15m/s)

the arrow has a mometum of (.0225kg)(42.0m/s)

After impact the mometum of the target is 0 Ns since its velocity is zero.

After impact the velocity of the arrow can be determined with conservation of momentum calculations.

Δp(arrow)=-Δp(target)

m(arrow)v(arrow)i+m(target)v(target)i=m(arrow)v(arrow)f+m(target)v(target)f

(.0225kg)(42.0m/s)-(.3kg)(2.15m/s)=(.0225kg)vf(arrow)

the final velocity of the arrow should be equal to((.0225kg*42.0m/s)-(.3kg*2.15m/s))/.0225kg

v(arrow) final = 24.46 m/s

What is momentum?Momentum is a quantity  used to describe the state of motion of an object with  non-zero mass. Therefore momentum can be applied to any moving object. If

       m  is the mass of a body and v is the velocity  of that body, the impulse momentum  can be expressed as  p=m.v

Since velocity is considered  a vector, momentum is also considered a vector. This means that the impulse has a significant magnitude and direction—an impulse indicated by a vector or  arrow. For example, if a ball of a certain mass moves with a certain speed, it has momentum. When the ball hits the wall, it stops and thus carries its momentum over the wall. Therefore momentum is always conserved.

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two power lines, each 300 m in length, run parallel to each other with a separation of 23 cm . part a if the lines carry parallel currents of 130 a , what is the magnitude of the magnetic force each exerts on the other? express your answer using two significant figures.

Answers

The magnitude of the magnetic force each exerts on the other is 4.41 N.

The magnitude of the magnetic force depends on the current through the wire, the length of the wire, and the radius of separation. It can be written as

F = μ₀ . I1 . I2 . L / (2π . a)

where F is a magnetic force, μ₀ is vacuum permeability (4π x 10¯⁷ H/m), I1 and I2 is current through the wire, L is the length of the wire and a is the radius of the wire.

From the question above, the given parameters are

L = 300 m

a = 23 cm = 0.23 m

I1 = I2 = 130 A

By substituting the parameters, we can calculate the magnetic force

F = μ₀ . I1 . I2 . L / (2π . a)

F = 4π x 10¯⁷ . 130 . 130 . 300 / (2π . 0.23)

F = 4.41 N

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a site was measured to have an average wind velocity of 5.2 m/s at 13m above ground. if the surface roughness exponent is assumed to be 0.23, what will the predicted wind velocity be at 32m above ground?

Answers

The wind velocity at 32 m above the ground is 6.39m/s when the roughness exponent of the surface is 0.23

Given in the problem is

Wind velocity at 13m above the ground v1 =5.2 m/s

Height initially h1 = 13m

height at which wind velocity is to be predicted h2= 32m

surface roughness exponent α = 0.23

Let velocity to be predicted be v2

We know that from the formula

v2= v1*(h2/h1)^α

⇒v2= 5.2 * (32/13)^ 0.23 = 6.39 m/s

Thus the wind velocity at 32m above the ground is 6.39m/s

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A river has current of 4 m/s south with respect to the shore.
A swimmer is swimming in the river (which is redundant).
If the swimmer is swimming 2 m/s north with respect to the water, what is his velocity relative to the shore?
If the swimmer is swimming 3 m/s south with respect to the water, what is his velocity relative to the shore?

PLEASE ANSWER FAST I HAVE TO SUBMIT THIS QUESTION TODAY!!

Answers

The velocity of the swimmer relative to the shore is 2 m/s south by vector addition

What is vector addition ?

Vector addition means putting two or more vectors together. In the addition of vectors, we are adding two or more vectors using the addition operation in order to obtain a new vector that is equal to the sum of the vectors. Vector addition finds its application in physical quantities where vectors are used to represent velocity, displacement, and acceleration.

We can solve this problem by using vector addition.

In fact, we can take north as positive direction, and we can write the following:

vc = - 4m/s is the velocity of the current (which is negative, since it is south)

v s= +2m/s is the velocity of the swimmer (which is positive, since it is north)

Therefore, the velocity of the swimmer relative to the shore is

v = vs + vc = 2+(-4) = - 2m/s

And the negative sign means the direction is south, so the answer is

v = 2 m/s south

The velocity of the swimmer relative to the shore is 2 m/s south by vector addition

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A particle’s position along the x-axis is described by the functionx(t) = A t + B t2,where t is in seconds, x is in meters, and the constants A and B are given below.Randomized VariablesA = -4.9 m/sB = 6.9 m/s2q. Enter expression interms of A,B, t for the velocity of the particle as a function of time? What time will the velocity be zero?

Answers

Given,

The position function is, x(t)=At+bt²

A=-4.9 m/s

B=6.9 m/s²

The velocity is described as the rate of change if the displacement with time.

That is, the velocity is the time derivative of the displacement.

Therefore on differentiating the given function with respect to the time, we get the expression for the velocity.

i.e.,

[tex]\begin{gathered} v(t)=\frac{d(At+Bt^2)}{dt} \\ =A+2Bt \end{gathered}[/tex]

Therefore the expression for the velocity is A+2Bt

To know at what time the velocity will be zero,

[tex]A+Bt=0[/tex]

On simplifying the above equation,

[tex]t=\frac{-A}{B}[/tex]

On substituting the known values in the above equation,

[tex]t=\frac{-(-4.9\text{ )}}{6.9}=0.71\text{ s}[/tex]

Therefore the velocity will be zero at 0.71 s

When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon

Answers

When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon; option D.

What are equal and opposite forces?

Forces are agents which cause a change in the motion of an object moving in a straight line or an object at rest to change its position.

According to the third law of motion, reaction and action are equal and opposite forces.

This law is seen in the inflation of balloons.

When a balloon is being inflated, the force applied in inflating the balloon pushes against the wall of the balloon. The balloon acts in an equal opposite direction by forcing the air molecules together, thus increasing the pressure of the air inside the balloon.

Therefore, an equal and opposite force is exerted by the air molecules o the air molecules.

When the balloon is released, the air is forcefully forced out in the opposite direction.

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Answer:

its D

Explanation:

the person above is correct too

to stop your vehicle when the brakes fail, a. work the parking brake gradually to prevent locking up the wheels and sending the car out of control. b. pump your foot down on the accelerator. c. shift up to a higher gear to slow the car down. d. all of the above

Answers

The correct answer is option A.

To stop your vehicle when the brakes fail, work the parking brake gradually to prevent locking up the wheels and sending the car out of control.

Due to advanced technology, a complete brake failure has never occurred. However, there is the possibility of an unlikely scenario while driving your vehicle.

If you ever come across such an unfortunate situation where a brake failure occurs in your vehicle while driving here is the advice to act upon.

The few things which are essential to do are:

Keep pressing the brake pedal

Gradually pull down on the parking brake of your vehicle.

If it does not work, shift your attention to the lower gear and make sure one gear at a time to slow down your vehicle.

Drive into less hazardous areas make sure there are no people around you and do not turn off your engine until your vehicle is completely stopped.

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Find the acceleration of the 1kg block m the following diagram 5n 4n 5n

Answers

Explanation:

56777^7744 hold the 4 nd add 2

two blocks are released from the top of a building. one falls straight down while the other slides down a smooth ramp. if all friction is ignored, which one is moving faster when it reaches the bottom?

Answers

The first and second blocks move at the same speed.

What is the law of conservation of mechanical energy ?

The law of conservation of mechanical energy states that the total mechanical energy of a system is constant if the only forces acting on the system are conservative.

The total mechanical energy of a system is the sum of kinetic and potential energy.

E = KE + PE

This is the total energy, kinetic energy and potential energy of the system.

The kinetic energy of the

system is:

KE = 1/2 x m x v^{2}

This is the mass and velocity of the object.

The gravitational potential energy is:

PE = mgh

Here is the acceleration of gravity and altitude.

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josh and taylor, standing face-to-face on frictionless ice, push off each other, causing each to slide backward. josh is much bigger than taylor. after the push, which of the two is moving faster?

Answers

After the push, Taylor will be moving faster because he has a smaller mass.

What is the force applied by each person?

The force exerted by each person is determined by applying Newton's second law of motion.

F = ma

where;

m is the mass of the persona is the acceleration of the person

The force applied by each person depends on the mass and acceleration.

mass of Josh > mass of Taylor

Since Josh has a greater mass, he will be able impact more force on Taylor causing Taylor to move faster after the push.

Thus, the speed of each person after the push, depends on the force received by each person at the opposite end.

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a parallel-plate capacitor is connected to a battery. the energy of the capacitor is u0 . the capacitor is then disconnected from the battery and the plates are slowly pulled apart until the plate separation doubles. the new energy of the capacitor is u . find the ratio u/u0 .

Answers

The ratio u/u0 : 1/2

As the distance is doubled and the battery is connected, we know that Capacitance is given by:   [tex]C= \frac{\epsilon_0 A}{d}[/tex]

As the distance between the plate is doubled, C will become: [tex]C= \frac{\epsilon_0 A}{2d} = \frac{C}{2}[/tex]

Now, as the battery is connected, Voltage will remain constant, therefore Charge Q will become:   [tex]Q=\frac{CV}{2}[/tex]

The energy before doubling the distance between the plates was, U0 :

[tex]U_0 = \frac{1}{2}QV = \frac{1}{2}CV^2[/tex]

After doubling the distance, the Energy will become U:

[tex]U = \frac{1}{2}QV = \frac{1}{4}CV^2[/tex]

Therefore, the ratio will be:

                           [tex]\frac{U}{U_0} = \frac{\frac{1}{2}CV^2}{\frac{1}{4}CV^2} = \frac{1}{2}[/tex]

What is capacitor ?

A capacitor is a bipolar electrical device that can store energy in the form of an electrical charge. It consists of two electrical conductors  separated by a distance. The space between the conductors can be filled with a vacuum or  an insulating material known as a dielectric. The ability of a capacitor to store charges is called capacitance. Capacitors store energy by keeping opposite charges away from each other. The simplest model of a capacitor is a parallel plate, which consists of two metal plates with a gap between them. However, different types of capacitors are manufactured in different shapes, styles, lengths, circumferences and materials.

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why does the sky appear blue in the day vs. red during sunset? I’m looking for an answer that explain s using light rays!!

Answers

Rayleigh scattering makes the sky appear blue in the day and red during sunset.

A clear, cloudless daytime sky is blue because molecules in the air scatter blue light from the sun more than red light. Sun at sunset, appears red or orange because blue light is scattered from your line of sight.

The white light of the sun is a mixture of all the colors of the rainbow. This was demonstrated by Isaac Newton by using a prism to separate different colors to form a spectrum. Colors of light are distinguished by different wavelengths.

The visible portion of the spectrum ranges from red light with a wavelength of about 720 nm to violet with a wavelength of about 380 nm, with orange, yellow, green, blue, and indigo in between. Her three types of color receptors in the retina of the human eye are most responsive to red, green and blue wavelengths, giving us color vision.

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a comet is in an elliptical orbit around the sun. its closest approach to the sun is a distance of 4.5 multiply 1010 m (inside the orbit of mercury), at which point its speed is 8.9 multiply 104 m/s. its farthest distance from the sun is far beyond the orbit of pluto. what is its speed when it is 6 multiply 1012 m from the sun? (this is the approximate distance of pluto from the sun.) speed

Answers

An elliptical orbit of a comet around the sun. The Pluton orbit is far from the sun's farthest distance. 51109.88 m/s is the speed when it is 6 x 1012 m from the sun.

given data

Vi=9.2104m/s is the comet's speed at d1=4.51010m.

When d2=61012m, the speed will be Vf.

Since there is no work done by the environment and the system's starting and final energies are equal, we can use:

[tex]E_{f}=E_{i}+W\\K_{f}+U_{f}=K_{i}+U_{i}+0\\1/2mv_{f}^{2}+\frac{-GMm}{d_{2}}=1/2mv_{i}^{2}+\frac{-GMm}{d_{i}}  \\v_{f}=\sqrt{v_{i}^2+2GMm[1/d_{2}-1/d_{1}]}[/tex]

Substitute the given values to find final velocity Vf

So

[tex]v_{f}=\sqrt{(9.2*10^{4}m/s )^2+2(6.7*10^{-11})(1.98*10^{30})[1/6*10^{12}-1/4.5*10^{10}]} \\[/tex]

[tex]v_{f}[/tex]=51109.88m/s

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a zoologist standing on a cliff aims a tranquilizer gun at a monkey hanging from a distant tree branch. th ebarrel fo the gun is horizontla. just as the zoologigtist pulls the trigger, the monkey lets go and begins to fall. will the dark hit the monkey? neglect air resistance

Answers

The Monkey captured Bryce's spirit inside a circle of salt inside a McDonald's bathroom stall and left after escaping from Lady Bullseye. After several weeks, he finally came back and set him free.

When injected, tranquilizer-filled darts fired by tranquilizer guns temporarily sedate a person or an animal so that they can be handled (or captured) safely. The tranquilizer may be a paralytic, sedative, or anesthetic. There is a long history of using tranquilizer weapons to capture wildlife without harm. The most frequent sensations are relaxation and sleepiness. Negative feelings, stress, or anxiety might also gradually fade away once the sedative starts to work. Your entire body could experience tingling, especially in your arms, legs, hands, and feet.

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Decreasing a telescope's eyepiece focal length will:

increase magnification
decrease magnification
have no effect on magnification

Answers

Decreasing a telescope's eyepiece focal length increases magnification.

What is Magnification?

The degree to which a telescope magnifies its subject. It is equal to the focal length of the telescope divided by the focal length of the eyepiece.

By doing two things, a telescope makes celestial objects visible:

1) making very faint objects visible by collecting much more light than the human eye can by itself using a big lens or mirror.

2) enlarging the things' size to make it easier to perceive their features.

On decreasing the focal length of the eyepiece focal length the magnification will increase.

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Explain one recent idea that scientists have proposed for how the universe began. Consider the big bounce theory or the multiverse theory.

Answers

The most widely accepted theory about the universe is the big bang theory.

What is big bounce theory?

The Big Bounce theory refers to the universe that is expanding and contracting, move back and forth in a big-picture timeline. The Big Bang theory was happened about 13.8 billion years ago when the universe began as a tiny, dense, ball that exploded. Many astronomers use the Big Bang theory to show how the universe began. But what caused this explosion in the first thing that is still a mystery. It has passed through many stages, which can be considered cosmological theories. The flat Earth, the geocentric model, heliocentricity, galactic centricity, the Big Bang, and the Inflationary Big Bang. In the Big Bounce theory, the universe is expanding and contracting, seesawing back and forth in a massively big-picture timeline more specific theory called "Big Bounce" theory proposes that the universe could collapse to the state where it is first started and then initiate another Big Bang.

So we can conclude that The Big Bang theory says that the universe came into being from a single more than 13 billion years ago.

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Predict what will happen when the bicep muscle exerts force on the lower arm bone.

Answers

Answer:

the soft drink will be elevated by the lower arm

Explanation:

firstly, muscles can only pull on bones to cause movement so if the bicep applies force on the lower arm bone, it will pull it up.

The specific heat capacity, abbreviated with the letter , is the quantity of required to change the temperature of gram of an object by 1.

Answers

The specific heat capacity, abbreviated with C the letter , is the quantity of energy required to change the temperature of One gram of an object by 1

What is Specific Heat Capacity ?

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).

The amount of heat per unit mass needed to raise the temperature by one degree Celsius is known as the heat capacity or specific heat. The ability to distinguish between two polymeric composites using specific heat is useful in calculating processing temperatures and the quantity of heat required for processing.

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Energy that comes from sources whose supplies are capable of being regenerated or are virtually inexhaustible is called.

Answers

Answer: Renewable

Explanation: Hope this helps.

PLEASE HELP ME!
What holds the protons together in the nucleus?


A. electrons


B. anions


C. cations


D. neutrons

Answers

Answer:

neutrons.........................

How long would it take an airplane to travle 1089 miles if its flying at a speed of 375 miles per hour

Answers

Answer:

2.904

Explanation:

It would take an airplane 2.904 hours to travel 1089 miles.

As a fraction, this would equal 363/125

As a percentage, this would equal 290.4%

(I certainly hope this was helpful! If it was, please vote me brainliest. If this is incorrect, please notify me so, I will fix my incorrection. Thank you!)

9. a supply plane needs to drop a package of food to scientists working on a glacier inalaska. the plane flies 100 m above the glacier at a speed of 150 m/s. how far short of the target should it drop the package?

Answers

[tex]X=150m/s * 4.518s =677.63m[/tex] far short of the target  it will drop the package.

How far short of the target should it drop the package?

First we can find the total time in order to reach the ground using the following kinematic formula:

[tex]y_{f} =y_{i}+v_{iy}+ \frac{1}{2} gt^{2}[/tex]

And replacing we have:

[tex]-100 =0+0- \frac{1}{2} (9.8)t^{2}[/tex]

And solving for t we got:

[tex]t=\sqrt{ \frac{2* (-100)}{-9.8} }=4.518 s[/tex]

And now we can find the final distance on the x axis using the formula:

[tex]D = Vxt[/tex]

The velocity on x not changes and is the same plane speed [tex]Vx=150m/s[/tex] , if we replace we got:

[tex]X=150m/s * 4.518s =677.63m[/tex]

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a window-mounted air conditioner removes 3.5 kj from the inside of a home using 1.75 kj work input. how much energy is released outside and what is its coefficient of performance?

Answers

The amount of heat released outside is 3.5 kJ and the coefficient of performance is 2.

What is efficiency of a machine?

The efficiency of the a machine or any device is the measure of effectiveness of the device. Efficiency describes how a machine converts input energy to output energy without wasting much of the input energy.

Mathematically, efficiency of a machine is given as;

E = output energy / input energy  x 100%

The coefficient of performance  (COP) of a heat pump, refrigerator or air conditioning system is a ratio of useful heating or cooling provided to work required.

The energy released outside = 3.5 kJ

COP = 3.5 kJ / 1.75 kJ

COP = 2

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Exciting the electrons in an iron increases the energy in the iron atom which can cause heating how might a magnetic field be used to excite electrons in atoms

Answers

Magnetic fields can be used to excite electrons in atoms because a magnetic field can pull or push electrons.

What is the effect of magnetic field on electron?

Magnetic fields pull and push electrons which leads to the excitation of electrons. Metals have electrons that are loosely held together. Moving a magnet around a coil of wire around a magnet pushes the electrons in the wire that creates an electrical current. The magnetic force will not change the speed of an electron because the magnetic force is always perpendicular to the speed. Current in these coils causes the deflection of the electrons that is perpendicular to the magnetic field which is to the direction of the electrons.

So we can conclude that magnetic fields can pull or push electrons so that a magnetic field can be used to excite electrons.

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It takes 10 seconds to accelerate from rest to rate of 8 m/s. If the mass of the car is 1,200kg. Calculate the net force acting on the car .

Answers

Answer:

960 N

Explanation:

Find acceleration

  Change in velocity / change in time

      8 /10 = .8 m/s^2

Then F = ma

            = 1200 kg  * .8 m/s^2 = 960 N

           

What is the magnitude of the x-component of force ?

Answers

ANSWER

EXPLANATION

If force F keeps the object in equilibrium

Answer:

See below

Explanation:

Find the x components of all of the forces shown, add them together, the x-component of the force F will be exactly opposite ( same magnitude but 180 degrees different)

30 cos 55  +     40 cos 205   +   50 cos 320  =  19.26    <====x component sum of all of the forces shown

F  (the x component of ) will be   Either    - 19.26   At zero degrees

                                                                 Or 19.26 at 180 degrees

1.A 98.0 kg basketball player runs at a speed of 7.0 m/s. What is KE?

2.A jogger whose mass is 65 kg is moving at a speed of 4 m/s. What is the jogger's KE?​

Answers

Answer:

Brainliest Answer?

2401J 520J

Explanation:

E = ( 1 / 2 )mv²

b = ( 1 / 2 )( 98kg )( 7ms⁻¹ )²

b = ( 49 )²kgm²s⁻²

b = 2401J

j = ( 1 / 2 )( 65kg )( 4ms⁻¹ )²

j = ( 1 / 2 )( 65kg )( 16m²s⁻² )

j = 520kgm²s⁻²

j = 520J

Answer:

Explanation:

Given:

m = 98.0 kg

V = 7.0 m/s

__________

Ek - ?

KE - kinetic energy

Ek = m·V² / 2

Ek = 98.0*7.0² / 2 ≈ 2 400 J

The potential energy of a roller coaster is 50 joules. The kinetic energy of the same coaster is 50 joules. What is the mechanical energy of the coaster?.

Answers

A roller coaster's mechanical energy is equal to 100 Joules if its P.E. and K.E. are each 50 Joules.

As a result, the roller coaster has a mechanical energy of 100 Joules.

explanation?

50 Joules is the potential energy of a roller coaster.

A roller coaster has kinetic energy of 50 Joules.

In order to determine the roller coaster's mechanical energy:

The entire amount of potential energy (P.E.) and kinetic energy (K.E.) that an object or body possesses is known as mechanical energy.

(ME)=50+50

Mathematically, the formula for mechanical energy states that it is equal to 100 joules when the given values are substituted.

As a result, the roller coaster has a mechanical energy of 100 Joules.

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larry uses a lever to list a box. where does inefficiency occur in the lever

Answers

Answer:

low internal resistance.

Explanation:

A lever has a high efficiency due to the fact that it has low internal resistance. The work it puts out is almost equal to the work it receives, because energy used up by friction is quite small. On the other hand, an a pulley might be relatively inefficient due to a considerably greater amount of internal friction.

The skater eventually comes to a stop.
What has happened to all of the skater's
original potential energy?

Answers

The potential energy converts to kinetic energy. I hope that this was helpful
Other Questions
7. Find the slope of a line which passes through the origin and point (2,4).A 0.5B -0.5C 2D 4 ^3square root of 1000 Please help me solve. I also need help on what ratios to put in the two boxes before the answer. Do I just choose any of them? Which of the following is an example of demonstrative evidence?O GunO FingerprintO Handwritten noteO Model of crime scene Factor the expression below.x2 81 What is 2 2/3 - 3/5? 7/154 4/152 1/15 1 2/5 if a rock appears to have very poor solubility during weathering, it may be because that rock is rich in what low-solubility material? multiple choice question. limestone quartz calcite halite how many ones equal 4 tens 1. Using the SEE method, which sentence is an elaboration?O He was a key figure during the founding of the United States.O George Washington played an important role in history.O He served as commanding general during the colonies' fight for freedom and as the first U.S. President. What were michelangelos feelings about painting in the sistine chapel? a. he was overjoyed. b. he was honored. c. he was argumentative with the pope. d. he was less than happy. please select the best answer from the choices provided a b c d write each percent as a decimal 1% Explain some endless capabilities of our vast universe? Solve the following/3x=7-3/x Do I need to find the graph of f in order to find the answer to the attached problem?! Please help with a full description of how the answer was achieved! employees at a toy-manufacturing factory are let go because robots have been installed to replace humans. what type of unemployment faces the laid-off workers? group of answer choices seasonal cyclical structural frictional Which can be the first step in finding the equation of the line that passes through the points (5,-4) and (-1,8) in slope-intercept form?8-(-4) 12-12--2Calculate -1-5Calculate 8-(-4) 12-1-5 -6Find that the point at which the line intersects with the line y = 0 is (3,0).Find that the point at which the line intersects with the line X=Y is (2, 2). If M is between G and T, MG = 2x + 1, MT = 3x + 3, and GT = 19, Then X = ___.MG = ___.MT = __. PROMPT: (1) To infer is the act or process of reaching a conclusion about something from known facts. Detail what can be inferred about the central idea of the text using the title The Danger of a Single Story by defining what a single story is in your own words AND why it is dangerous.How does the author use her personal experiences in the speech to introduce AND develop the main/central idea? Cite and analyze at least TWO examples of textual evidence from the speaker to support your above response. Mike owns swibel trucking, a successful trucking business, as a sole proprietor. After many successful years in business, one night he decides he wants to change his business to a partnership so that he can share the burden and devote more time to pursue his hobby of duck watching full time. What steps must he take to change the type of business entity to a partnership?. Henry had a batting average of 0.341 last season (out of 1000 at-bats, he had 341 hits). Given that thisbatting average will stay the same this year, answer the following questions,What is the probabilitythat his first hit willoccur within his first 5at-bats? Answer choice. 0.654. 0.765. 0.821. 0.876