a 500.0 kg elevator is pulled upward with a constant force of 5500.0 n for a distance of 50.0 m. what is the work done by the 5500.0 n force on the elevator?

Answers

Answer 1

The work done by the constant force to pulled the elevator upward is 275000 Joules.

The work done by any force is given by,

W = Fa

Where,

W is the work done,

F is the force applied,

s is the displacement along the direction of the force,

The force applied on the elevator to pull it upward is 5500N and the distance to which the elevator is pulled is 50 m.

Now, putting values,

W = 5500(50)

W = 275000 Joules.

So, the work done by the force to pull the elevator upward is 275000 Joules.

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Related Questions

suppose a 0.45-kg mass on a spring-loaded gun that has been compressed 0.10 m has elastic potential energy of 1.50 j. how high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?

Answers

Height above which the spring's equilibrium point can the gun fire the mass if the gun is fired straight up is 0.34m.

What is law of conservation of energy?

The law of conservation of energy is that energy can neither be created nor destroyed. Energy changes from one form of to another form.

Using the law of conservation of energy.

Em₀ = 1.5 J

Higher.

Em1 = U

= m g h

As there is no friction, then the mechanical energy is conserved

Hence, Em₀ = Em1

Em₀ = m g h

therefore, h = Em₀ / m g

h = 1.5 / 0.45 * 9.8

Hence, h = 0.34 m

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the maximum speed of a 3.00-kg object in simple harmonic motion is 4.00 m/s. the maximum acceleration of the object is 5.00 m/s2. what is the period of simple harmonic motion?

Answers

The period of a 3.00kg object moving in a simple harmonic motion is 5.02s

Simple harmonic motion is a system where the object oscillates around the equilibrium position.

Based on the theorem, there are some formulas:

x(t) = A.cos t (ωt+∅)

x max = A

v max = Aω

a max = Aω²

ω = 2π/T = 2πf

From the question, we got some informations:

m = 3.00kg

v max = 4.00 m/s

a max = 5.00 m/s²

T = ?

We will use the formula for a max and v max to find the value of ω:

v max = Aω

v max = 4.00 m/s

Aω = 4.00 m/s ...(i)

a max = Aω²

5.00 = v max (ω)

5.00 = 4.00ω

ω = 1.25 rad/s ..(ii)

Next, we will use the Period formula:

ω = 2π/T

1.25 = 2π/T

T = 1.6π s

T = 5.02s

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What is the disadvantage of the circuit pictured below

A._ The addition of more light bulbs decreases the flow of electricity through the circuit.

B._ The addition of more light bulbs decreases the voltage to each bulb.

C._ The addition of more light bulbs decreases the resistance in the circuit.

D._ The circuit only works when alternating current is used.

Answers

The circuit shown has the drawback that it can only operate with alternating current.

The correct answer is D

What exactly do you mean by "alternating current"?

A type of electrical current known as alternating current (AC) alternates the flow of electrons periodically or in cycles between two directions. Alternating current (AC) is the kind of current that circulates through electrical outlets used in everyday homes and power lines.

How do AC & DC current differ from one another?

Both alternating current (AC) and direct current (DC) are types of electric current (DC). The way that electrons move determines how AC and DC are different from one another. While the flow of electrons in AC is constantly changing, moving first ahead and then backward, as opposed to DC's steady movement in one direction

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a mass of 10 kg is pushed up against a spring with a spring constant of 5 n/m. the mass compresses the spring by 8 m, and then it is released. how fast is the mass going once it leaves the spring?

Answers

According to the given statement 160 J  fast is the mass going once it leaves the spring.

What is the means of mass?

In science, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body containing matter in the universe resistance to changing its speed or location in response to the force applied. The change caused by a force applied is smaller the more mass a body has.

Briefing:

Mass m = 10kg

Spring constant  k = 5n/m

Constant Spring Compression in the mass x = 8m

The elastic potential energy of the spring is transformed into the kinetic energy of the mass when the mass exits the spring.

1/2 kx2 = 1/2 mv2

1/2 . 5 . (8)2 = 1/2 . mv2

1/2 mv2 = 160 J

The kinetic energy of the mass is 160 J.

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A girl riding a bicycle at 2.0 m/s throws a tennis ball horizontally forward at a speed of 1.0 m/s from a height of 1.5 m. At the same moment, a boy standing on the sidewalk drops a tennis ball straight down from a height of 1.5 m.

What is the initial speed of the girl's ball relative to the boy? ​

WILL GIVE BRAINLIEST

Answers

The initial speed of the girl's ball relative to the boy is 3 m/s. ​

What is the initial speed of the girl's ball?

The initial speed of the girl's ball relative to the boy depends on the time of motion of the girls ball.

The time of motion of the ball from the given height is calculated as follows;

h = vt + ¹/₂gt²

where

v is the initial velocity of the ballt is the time of motion of the ballg is acceleration due to gravity

h = 0 + ¹/₂gt²

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 1.5 / 9.8)

t = 0.55 s

The final velocity of the ball is calculated as;

v = gt

v = 9.8 x 0.55

v = 5.39 m/s

However, since we are looking for the initial speed of the girl's ball relative to the boy, we will ignore the final velocity of the ball.

The initial velocity of the ball = 0

The initial velocity of the girl's ball = 2 m/s + 1 m/s = 3 m/s

The relative velocity = 3 m/s - 0 m/s = 3 m/s

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A person shakes a sealed, insulated bottle containing coffee for a few minutes. What is the change in the temperature of the coffee?.

Answers

A person shakes a sealed, insulated bottle containing coffee for a few minutes, then the change in the temperature of the coffee increases slightly.

What happens when insulated bottle with coffee is shaken?

The temperature of the coffee increases when insulated bottle is sealed and shaken because the exchange of heat from the surrounding from the thermos bottle is zero. From the first law of thermodynamics, the work done on system is equal to the change in internal energy.

As thermos flask is insulated, therefore no heat energy is added to the system,

Therefore, △Q=0

Work is done  by shaking it against viscous force.

Now, △w=−ve

Internal energy , △U=△Q−△w=0−(−△w)

△U=+△w

So, △U=+ve

Hence, temperature of the system increases due to the increase in internal energy.

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if the average speed of a helium atom at a certain temperature is 1110 m/s, what is the speed in miles per hour? (1 mi

Answers

Answer:

About 2483 miles per hour.

Explanation:

Check out the image.

after a day of testing race cars, you decide to take your own 1550-kg car onto the test track. while moving down the track at 10.0 m/s, you uniformly accelerate to 30.0 m/s in 10.0 m/s. what is the average net force that the track has applied to the car during the 10.0-s interval?

Answers

Average net force that the track has applied to the car during 10.0 sec is 3100 Newton.

In the given question we have,

mass of testing Car = 1550 kg

initial velocity of car on test track = 10.0 m/sec

final velocity of car on test track = 30.0 m/sec

Net force that track has applied to car (F) = m × a

where m ----> mass of car

a ----> acceleration

firstly, we shall find out the value of acceleration.

Using the relation formula between initial velocity, final velocity and acceleration

v - u = at

where, v---> final velocity

u---> initial velocity

a---> acceleration

t-----> time

given , v = 30m/sec , u= 10m/sec , t = 10 sec

10× a = 30 - 10 = 20 => a = 2m/sec²

So, Net force = mass × acceleration

F = 1550×2 = 3100 Newton

Hence, the net force applied on car during 10.0 sec interval is 3100 Newton.

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3) A block with an unknown mass rests on a rough table. Attached to the mass is a
string which is attached to a 12 kg mass that hangs over the edge of the table via a
pulley. The coefficient of friction is 0.35. When released from rest, the system
reaches a speed of 8 m/s after traveling a distance of 6 m.
a. Calculate the acceleration of the system.
b. What equation can you use to represent the force of friction acting on the
unknown mass.
c. Write out Newton's Second Law and solve for the unknown mass.

Answers

a. The acceleration of the system is 0.21 m/s^{2}

b. The equation of the force of friction is -

tension force - force of friction = unknown mass x its acceleration and force of friction is equal to product of coefficient of friction and                    normal force acting on unknown mass .

c.  Newton's second law of motion applies when there are unbalanced forces acting on an object. According to the second law, the mass and the net force acting on the object both affect how quickly an object is accelerating . An object's acceleration is directly proportional to the net force applied and inversely proportional to the object's mass. An object's acceleration increases as the amount of force exerted on it does. A decreasing acceleration is caused by an increase in an object's mass.

The unknown mass is nearly equal to 30 kg .

What is acceleration ?

the rate at which the speed and direction of a moving object vary over time is termed as acceleration . An object going straight ahead  when it accelerates or decelerates,  is said accelerated. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

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a secret agent has just stolen the ultimate top secret codes from a terrorist organization. their mission is to throw the information disk off the san francisco bridge onto a small ship that is waiting stationary. the agent gets to the edge of the bridge and sees the ship. using an angle up towards the sky, they throw the disk... which falls short and goes into the water. luckily the secret agent made a backup copy. if they throw it with the same velocity as before, should they increase the angle of the throw to make it to the stationary ship? (you can consider no external factors are present such as wind or clouds.)

Answers

Using the range of projectile motion principle, it is determined that the angle at which the information disc is launched must be increased in order for it to reach the stationary spacecraft.

This expression makes it evident that if they want to extend the range of an information disc thrown at constant speed of spacecraft , they must also extend the angle at which they toss it. The horizontal distance that a projectile motion covers is known as its range. This qualifies as a projectile motion scenario for spacecraft.

An object in the air only experiences projectile motion when it is affected by gravity. A projectile motion  that is fired into the air close to the surface of the Earth and travels along a curved path, or more precisely a parabolic path, while being pulled downward by gravity, assuming that air resistance is minimal.

According to the formula of Range of projectile motion,

R = U^2*sin2[tex]\alpha[/tex]/g

therefore R is directly proportional to sin2[tex]\alpha[/tex]

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an object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 260 n/m . when the object is 0.019 m from its equilibrium position, it is moving with a speed of 0.65 m/s . part a calculate the amplitude of the motion. express your answer to two significant figures and include the appropriate units.

Answers

The amplitude of the motion is A = 7.3*10⁻²m and the maximum speed attained by the object Vmax=0.66 m/s

speed v= 0.65 m/s

Angular speed is ω,

ω = √k/m=√260/3.1=9.15 s⁻¹

Amplitude = A is

A = √x²+v²/ω²

  =√0.019²+0.65²/9.15²=0.073m

A=7.3*10⁻²m

Vmax=ωA=9.15*0.073

Vmax=0.66 m/s

The distance in amplitude between the wave's resting position and its highest movement. quantity of waves travelling by a particular point each second. The length of time it takes for one wave cycle to end. We experience loudness or volume as a function of the relative strength of the sound waves (transmitted vibrations).Amplitude is a tool for studying data on user behavior. It helps the growth, product, and marketing teams make decisions by drawing conclusions about user behavior from data. Understanding user behavior better can assist a business in developing fresh approaches to increase user engagement, customer loyalty, and income.

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at the instant you pass through the equilibrium position of the spring, you drop the sandbag out of the cart onto the ground. part a what effect does dropping the sandbag out of the cart at the equilibrium position have on the amplitude of your oscillation?

Answers

Dropping sandbags does not change cart speed. After the bag drops no energy leaves the system, so the cart always returns to the equilibrium point with the same kinetic energy and thus the same maximum velocity.

This means that the equilibrium position of the horizontal spring is independent of the mass attached to it. For example, if a spring is replaced with a rigid spring of the same natural length, the same considerations apply. That is, the equilibrium position does not change. The duration of the pendulum does not depend on the mass of the weight.

Changing the concentration of something in equilibrium does not change the equilibrium constant. The only thing that changes the equilibrium constant is a change in temperature. Changing the concentration of something in the mixture changes the position of the equilibrium.

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Draw your model to show what happens during the time when a balloon is being rubbed on a girl’s hair.

Answers

The electrons are transferred from hair to balloon when a balloon is being rubbed on a girl’s hair and attains a negative charge.

What happens when a balloon is rubbed with hair?

Rubbing the balloon against the hair leads to the transfer of electrons from the hair to the balloon because electrons are negatively charged, the balloon attains a negative charge, while on the other hand, the hair with the loss of negative charges gets a net positive charge. Static electricity occurs due to an imbalance between negative charges and positive charges in a body. These charges can build up on the surface of a body until they find a path to be released or discharged. Static electricity is produced when positive and negative charges are not in a balanced situation. Protons and neutrons don't move around but electrons jump from one place to another place. When an object has more electrons than protons, it has a negative charge.

So we can conclude that when a balloon is being rubbed on a girl’s hair, the electrons are transferred from hair to balloon.

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a heater is supplied with a dc voltage of 117.0 v and delivers 1.00 kw of heat. what rms voltage must an ac voltage source provide to deliver the same amount of heat?

Answers

The rms voltage will be 82.7 v

What is rms voltage?

"RMS" stands for Root Mean Square and is a way of describing the amount of AC voltage or current in terms that are functionally equivalent to DC. For example, 10 Volts AC RMS is the amount of voltage that will produce the same amount of heat dissipation in a given value resistor as a 10 Volts DC power supply.

The root mean square (rms) voltage of a sinusoidal source of emf (Vrms) is used to characterize the source. It is the square root of the square of the time-averaged voltage. The value of Vrms is v₀/√2 or equivalently 0.707 v₀

For the given question:

At the same time interval same heat is produced. Therefore, power in both DC and AC will also be same.

So the rms voltage will be:

= 117.0/√2

= 117.0 × 0.7071

= 82.7 v

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heat generated by cars, factories, furnaces, lights, air conditioners, and heat-absorbing dark roofs and streets help create what is known as a(n) in the central city.

Answers

The heat generated by cars, factories, furnaces, lights, air conditioners, and heat-absorbing dark roofs and streets helps create an urban heat island in the central city.

An urban heat island arises while cities update the herbal land cowl with dense concentrations of pavement, homes, and other surfaces that soak up and keep the warmth. This effect increases power costs (e.g., for aircon), air pollutants stages, and warmth-related illness and mortality.

Heat islands form as plants are replaced by asphalt and urban for roads, homes, and other systems necessary to deal with growing populations. those surfaces soak up—rather than replicate—the sun's warmth, causing floor temperatures and basic ambient temperatures to rise.

An urban heat island happens when a city experiences much warmer temperatures than close rural areas. The difference in temperature between urban and less-evolved rural regions has to do with how properly the surfaces in each surrounding absorb and keep warm.

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100 POINTS!! 1. Calculate the current flowing when:

(A) 75 mC pass a point in I min;
(B) 0.5 GC pass a point in 2 hours;
(C) 2.0 MC pass a point in 1000 hours.

2. Calculate the charge flow when the current flow is:

(A) 6.0 A for 5 min;
(B) 250 mA for 4 hours;
(C) 2.5 KA for 50 s.

3. How long does it take for the following to pass a point in the circuit?

(A) 25 MC at a current of 25 mA;
(B) 48 C at a current of 12 A;
(C) 360 C at a current of 4.0 A.

4. A current of 10 cA flows through a resistor of resistance 4.0 ohms
Find the:
(a) P.d across the resistor;
(b) Total charge flow in 3 minutes;

Answers

Current ( I ) = charge(Q) * time(t)

(A)     I = 75/1000 * 1*60 = 4.5A

(B)     I =  0.5*10^9 * 2*60*60 = 3.6*10^12 A

(C)     I = 2*10^-6*1000*60*60 =0.55 A

2)   Q = I/t

( A)  Q = 6/5*60 = 0.02 C

( B)   Q = 250*1000/ 4*60*60 = 17.36 C

( C)   Q = 2.5/1000*50 = 5*10^-5 C

3 ) t = I/C

(A)  t =25*1000/ 25*10^-6 = 1*10^9 s

(B)  t = 12/48 = 0.25 s

(C)  t = 4/360 = 0.011 s

4 )

( A) P . d = current * resistance = 10/100 * 4= 0.4V

( B) charge = 10*10^-2/3*60 = 5.55*10^-4 C

What is charge ?

Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.

The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.

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1. on december 26, 2004, a great earthquake occurred off the coast of sumatra and triggered immense waves (tsunami) that killed some 200,000 people. satellites observing these waves from space measured 800 km from one wave crest to the next and a period between waves of 1 hour. what was the speed of these waves in m/s and in km/h? does your answer help you understand why the waves caused such devastation?

Answers

222.22 m/s is how fast these waves are moving. Relationship between wave speed, wavelength, frequency, and period.

How can I determine the wave speed?

The equation wave speed = frequency x wavelength describes the relationship between wave speed, wavelength, frequency, and period.

Reason: A. Given that we are aware that the formula for calculating a wave's speed is:

v = f, where v is the wave's speed.

f = the wave's frequency

A wavelength is

Here, stands for the separation between adjacent wave crests.

f = 1/Time Period = (1/1 hr)(1 hr/3600 s) f = 2.77 x 104 s1 = 800 km = 8 x 105 m

Therefore,

v = (2.77 x 10⁻⁴ s⁻¹)(8 x 10⁵ m)

v = 222.22 m/s.    

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consider a monochromatic electromagnetic plane wave propagating in the z direction. at a particular point in space, the magnitude of the electric field has an instantaneous value of 442 v/m in the positive x-direction. what is the instantaneous magnitude of the poynting vector at the same

Answers

The instantaneous magnitude of the poynting vector will be 518.48.

To calculated magnitude of the poynting vector, we require to use the formula of poynting vector

S = E*B/u

since B = E/c

so , S = E^2 /uc

where , E is the electric field and B is the magnetic field ,

S is the poynting vector magnitude and c is the speed of light.

Putting the values, we get

S = (442x442) /uc

S =  195364 / uc

uc = 4πx[tex]10^{-7}[/tex] x 3 x [tex]10^{8}[/tex]

uc = 376.8

Now, S = 195364/376.8

S = 518.48

Hence The instantaneous magnitude of the poynting is 518.48.

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Why does the Sun’s altitude affect shadow length?

Answers

The size of the shadow hangs on the distance of the source of light and on the angle at which the light rays drop on the object.

Why does the Sun’s altitude affect shadow length?

A person or object chunks more light when the sun is low in the sky. More brick light makes shadows longer. Less light is wad when the sun is high in the sky. This makes shadows shorter. The angle at which light hit an object affects the size and shape of its shadow. Shadows are longer when the light source is at a low angle (side on) and squat when the light source is at a higher angle (overhead). find design when investigating how shadows change size and how a shadow is formed understand the role of light-position

So we can conclude that The Sun's position in the sky influences the length of the shadow. When the Sun is low on the horizon, the shadows are long.

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why are measurements of the current density of the universe important? the overall density of the universe is the main clue that can allow us to choose between open, closed, and flat models of the universe. the overall density of the universe is the main clue that can allow us to tell where the center of the universe is. the overall density of the universe is the main clue that can allow us to tell whether the universe is isotropic or homogeneous. the overall density of the universe is the main clue that can allow us to tell how quickly the universe is collapsing. need help?

Answers

The primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.

What is meant by current density?Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.The total amount of current flowing through one unit of a cross-sectional area is referred to as current density. If the current flow is uniform, it will flow through a particular conductor with the same amount at all of its points, regardless of how the conductor's area changes.The measurements of the current density of the universe important to  the primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.

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Question 3 of 5
The image shows a school of fish being located using sonar.
Which two measures are needed to calculate the distance between the fish
and the ship?
A. The number of sound waves emitted from the ship
B. The speed of sound waves
C. The amount of time it takes sound waves to travel to the fish and
back
D. The size of the ship

Answers

Answer:

Explanation:

b

Answer: The correct answers are B and C. :)

Explanation:

brown dwarf surface temperatures average around 1000k. what type of telescope should you use? i.e. what wavelength range should it operate at to have the best chance of detecting these types of stars? explain your reasoning clearly and show your work.

Answers

To explore Brown Dwarf, we'll utilize an infrared telescope.

Scientists can determine which galaxies are forming stars and where the stars are forming within those galaxies by observing ultraviolet light.

Brown dwarf detection: how do they work?

Brown dwarfs, according to McLean, "are so elusive and difficult to find." They are most easily identified in the infrared, but even there, they are quite challenging to find. These flimsy items emit a heat glow that we can see in the infrared.

The wavelengths of light waves range from roughly 400 to 700 nanometers (4,000 to 7,000 angstroms). Different light wavelengths are seen by our eyes as the colors of the rainbow.

Since fusion becomes feasible at a temperature of roughly 3 million degrees, brown dwarf core temperatures must be below this level. temperatures at the surface are 1,000 degrees Kelvin or less.

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a ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. assuming that the air resistance can be ignored, how high does it go?

Answers

A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. It takes 1.28 sec to reach its  its maximum height of 26.27feet.

a ball is shot straight up into the air with initial velocity of 41ft/sec

S = [tex]S_{0} +V_{t} - 16t^{2}[/tex]

height [tex]S_{0} = 0[/tex]

velocity [tex]V_{0}[/tex] = 41ft/sec

S= 0+41t- 16[tex]t^{2}[/tex]

S = 41t -16[tex]t^{2}[/tex]

instantaneous velocity v

V = ds/dt = [tex]V_{0}[/tex]- 32t

V = 41-32t

32t = 41

t =  41/32 = 1.28 sec.

S = 41t-16[tex]t^{2}[/tex]

  = 41 ( 1.28)- 16 [tex](1.28)^{2}[/tex]

 =  52.48 - 26.21

 = 26.27

What is velocity?

The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction. Its SI equivalent is the meter per second (ms-1). A body is considered to be accelerating if the magnitude or direction of its velocity changes.

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a cylindrical rod has equal and opposite forces applied parallel to the surface of its circular ends. the forces are directed toward the center of the rod. what type of stress is this rod subject to?

Answers

The force that results in a material's deformation and subsequent reduction in volume is known as compression stress.

What exactly are tensile and compressive stress?Tensile Stress: When a body is subjected to an equal force that is applied perpendicular to its cross-sectional area, it deforms. Definition of Compressive Stress: The solid is compressed by the application of an external force. The body, which is known for compressive stress, responds by producing the restoring force.The force that results in a material's deformation and subsequent reduction in volume is known as compression stress. A material shrinks in volume as a result of the stress it experiences. The failure of the material is caused by high compressive stress.  

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If a 50 N force is applied to a lever and the lever is then able to lift a 150 N object, what is the mechanical advantage of the lever?

Answers

Answer:

3

Explanation:

m.a=load÷effort

thus 150N÷50N=3

suppose you photographed earth's dark side from space, using ultraviolet-sensitive film, and using infrared-sensitive film. what would you expect to see in the photo?

Answers

The infrared image would reveal radiation coming from all around Earth, whereas the ultraviolet image would only show artificial sources like lighting.

What purposes does infrared serve?

There are numerous uses for infrared. Heat sensors, thermal imaging technology, and night vision gear are some of the most popular. Infrared light is used in both wired and wireless communications and networking operations.

To avoid Earth's atmosphere and obtain a clearer view of the planets, stars, and galaxies that we are studying, space telescopes are primarily launched into orbit. Only some light can enter our atmosphere because it acts as a barrier, blocking all other light.

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5. The acceleration of gravity at Hartford, Connecticut, is 9. 80336 m/s².

What is the gravitational force acting on a. 25000 kg mass at this

location?

Answers

The gravitational force acting on 25000 kg mass at a given location is 2.45 × 10⁵ N.

What is gravity?

Gravity can be described as an attractive force on a body towards the center of the earth. Every object having mass applies some force or gravitational pull on another object having mass. Gravity is responsible for the planets in orbit around the sun.

Given, the mass of the object, m = 25000 Kg

The acceleration of gravity at Hartford, Connecticut, g =9.80336 m/s²

The gravitational force acting on the given mass at this location is given by:

F = mg

F = 25000 Kg × 9.80336 m/s²

F = 245084 N

F = 2.45 × 10⁵ N

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a hydraulic lift used at an automotive repair shop raises a looo-kilogram car two meters off of the ground. what is the potential energy given to the car? * 1 point a) 1000 j b) 2000 j c) 10,000 j d)20,000 j

Answers

The potential energy provided to the car is 19600 joules, or around 20,000 j, when a 1000-kg car is raised two meter's off the ground using a hydraulic lift at an auto repair shop.

The energy that an item retains due to its position in hydraulic lift to other objects, hydraulic lift tensions, electric charge, or other Gravitational potential reasons is known as potential energy in physics. produces gravitational potential energy

GPE=mgh

where;

m equals the object's mass

g stands for the object's gravitational acceleration.

The height has increased by h in metres.

 As The result is:

GPE = 1000kg*9.8m/s*2m

=19600kg m2/s2

=19600J

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(part 1 of 2)
The Royal Gorge bridge over the Arkansas
River is 352 m above the river. A bungee
jumper of mass 124 kg has an elastic cord of
length 55 m attached to her feet. Assume the
cord acts like a spring of force constant k. The
jumper leaps, barely touches the water, and
after numerous ups and downs comes to rest
at a height h above the water.
The acceleration of gravity is 9.81 m/s^2

Find h. Answer in units of m.

(part 2 of 2)
Find the maximum speed of the jumper.
Answer in units of m/s.

Answers

a. The height of the bungee jumper above the water is 171.72 m

b. The maximum speed of the bungee jumper is 83.1 m/s

a. How to find the height h of the bungee jumper above the water?

Since the bungee jumper barely touches the water surfaces and comes to rest after numerous bounces, using the law of conservation of mechanical energy,

K = U where

K = elastic potential energy of cord = 1/2 kx² where k = spring constant, x = extension of cord = H - L where H = height of bridge = 352 m and L = length of cord, U = gravitational potential energy of jumper = mgH where m = mass of jumper = 124 kg, g = acceleration due to gravity = 9.81 m/s² and H = height of bridge

So, 1/2 kx² = mgH

1/2 k(H - L)² = mgH

Making k subject of the formula, we have

k = 2mgH/(H - L)²

Substituting the values of the variables into the equation, we have

k = 2mgH/(H - L)²

k = 2 × 124 kg × 9.81 m/s² × 352 m/(352 m - 55 m)²

k = 856373.76 kgm²/s² ÷ (297 m)²

k = 856373.76 kgm²/s² ÷ 88209 m²

k = 9.71 N/m

Next, we find the extension of the bungee cord. WE know that the spring force, F = kx where

k = spring constant and x = extension

equals the weight of the bungee jumper, W = mg when the bungee jumper is at rest.

so, F = W

kx = mg

x = mg/k

Substituting the values of the variables into the equation, we have

x = 124 kg × 9.81 m/s²/9.71 N/m

x = 1216.44 kgm/s²/9.71 m

x = 125.28 m

So, the total stretched length of the bungee cord after it comes to rest is L' = L + x = 55 m + 125.28 m = 180.28 m

So, the height of the bungee jumper above the water is H' = H - L'

= 352 m - 180.28 m

= 171.72 m

So, the height above the water is 171.72 m

b. How to find the maximum speed of the jumper?

To find the maximum speed of the jumper, we must have minimum extension of the bungee cord.

Using the law of conservation of mechanical energy, the maximum potential energy of the jumper, U equals the mnimum elastic potential energy of the cord, U' + the maximum kinetic energy of the bungee jumper, K'

So, U = U' + K'

mgH = 1/2kx'² + 1/2mv² where

m = mass of bungee jumper = 124 kg , g = acceleration due to gravity = 9.81 m/s², H = height of bridge = 352 m, k = spring constant = 9.71 N/m, x = minimum extension of cord = 0 m,  and v = maximum speed of bungee jumper

Making v subject of the formula, we have

v = √[2gH - (kx'²/m)]

Substituting the values of the variables into the equation, we have

v = √[2gH - (kx'²/m)]

v = √[2 × 9.81 m/s² × 352 m - (9.71 N/m × (0 m)²/124 kg)]

v = √[6906.24 m²/s² - (9.71 N/m × 0 m²/124 kg)]

v = √[6906.24 m²/s² - 0 Nm/kg)]

v = √(6906.24 m²/s²)

v = 83.1 m/s

So, the maximum speed is 83.1 m/s

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(a) how many minutes does it take a photon to travel from the sun to the earth? (b) what is the energy in ev of a photon with a wavelength of 558 nm? (c) what is color of light with this wavelength? (d) what is wavelength of a photon with an energy of 1.00 ev? please show the solution.

Answers

To known about all the answers, we first known about the photon and wavelength concept.

What is a photon?

A tiny energy packet of electromagnetic radiation is called a photon, referred to as a light quantum. Albert Einstein proposed the existence of discrete energy packets during the transmission of light in his 1905 description of the photoelectric effect, which gave rise to the photon concept.

What is wavelength?

A waveform signal's wavelength is the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically specified in meters (m), centimeters (cm), or millimeters (mm).

a)  Distance between the earth and the sun is

   1.5*10^N

Speed of photon = 3*10^8m|s

Time= distance/speed

   = 1.5*10^11m/3*10^8m|s

   = 0.5*10^3 second

   = 500 sec

  = 8.3 minutes.

b) energy of the photon is given by

E=hc/⋋

h= planks constant – 4.14* 10^15 eVs

c= Speed of light- 3*10^8 m/s

⋋= 558 nm= 558* 10^9 m

E= 4.14* 10^15 eVs* 3*10^8 m/s /558* 10^9 m

E= 2.23 eV

c) Wavelength color

495–570 nm for green. 570–590 nm for yellow. Orange (590–620 nm). Red: 620-750 nm

d) Let the wavelength be ⋋

We know E=hc/⋋

1 eV= 4.14*10^-15 eVs* 3*10^8m/s/⋋

⋋ = 12.42*10^-7m

⋋ = 1242 nm.

Therefore, Distance between the earth and the sun is 8.3 minutes. Energy of the photon is given by 2.23 eV. Wavelength color is green or yellow. The wavelength be ⋋ is 1242 nm.

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