Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0∘R). However, the units of this scale are the same size as those on the Fahrenheit scale (∘F) rather than the Celsius scale (∘C).
A) Given that water at standard pressure freezes at 0∘C, which corresponds to 32∘F, and that it boils at 100∘C, which corresponds to 212∘F, calculate the temperature difference ΔT in degrees Fahrenheit that corresponds to a temperature difference of 1 K on the Kelvin scale.
B) What is the numerical value of the triple-point temperature Ttriple of water on the Rankine scale?

Answers

Answer 1

The temperature difference of  1 K on the Kelvin scale is equivalent to the temperature difference of (5/9)°F on the Fahrenheit scale.  Triple-point temperature of water is approximately 491 degrees Rankine.

The unit of scales on the Rankine scale is the same as those on the Fahrenheit scale. Hence, from the freezing point of water (0⁰C) to the boiling point of water(100⁰C) , Rankine scale is divided into 180 scales.

The absolute zero is zero degrees Rankine.  In Celsius scale, absolute zero is −273 °C.

A). A unit scale on the Kelvin scale is the same size as a unit scale in the Celsius scale. Hence,

ΔT 1 K = ΔT 1°C

The ratio of Celsius and Fahrenheit scale is 5/9, therefore:

K/F = C/F = 5/9

Hence,

ΔT 1 K = ΔT (5/9)°F

B) Triple-point temperature of water is approximately 0 °C. Since zero degrees Rankine is equivalent to  −273 °C, hence:

0 °C = 0 - (9/5)(-273) = 491 degrees Rankine.

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Related Questions

Two students have volunteered to explore the galaxy in a spaceship. As they travel through space, they measure the magnitude of the gravitational force between their spaceship and the earth they find that the gravitational force on the spaceship is-

Answers

The gravitational pull on the spacecraft is discovered to be inversely proportional to the distance from the Earth.

If the gap were cut in half, the gravitational attraction would be more powerful. According to Coulomb's rule, the gravitational force between any two things in the universe is inversely proportional to the sum of their respective masses.

The gravitational force between two things in the cosmos is calculated as being inversely proportional to their distance from one another. Gravity is the force that holds two bodies together, body present or not.

A force that is directly inversely correlated to the square of the distance between bodies and directly inversely correlated to their product draws every body in the universe toward every other body.

Thus , Inversely related to the separation from the Earth.

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Fossils of the same life form species have been found on continents that are now divided by oceans. In one to two sentences, explain how this could be possible if a supercontinent did not exist. Explain Simply. Pls hurry

Answers

Answer:

This could be possible if the continents were once connected and then separated by plate tectonics, allowing the same species to spread across the land before it was divided by oceans.

Explanation:

This isn't a Physics question, do check your category before posting next time

The measurement of how far the particles are pushed from their _______________ is called amplification.

Answers

Amplification is the term used to describe how far the particles are pushed from their initial position.

Is it a measurement of how closely or widely spaced away the particles are in a given area?

How closely molecules are packed together is determined by density. Because air is a gas, its molecules may either pack closely or spread widely. Higher up, less air is pressing down from above, and gravity is less away from the center of the Earth.

Sound is it longitudinal?

Longitudinal waves are what makeup sound. Compressions and rarefactions are also present in longitudinal waves when they pass through any given material. When particles travel in close proximity to one another, compression occurs, generating areas of intense pressure.

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5. Is the motion of the stars around Polaris (NCP) due to the __________rotation (daily motion) or ___________revolution (yearly motion) of Earth

Answers

The motion of the stars around Polaris (NCP) is due to rotation (daily motion) of Earth.

Polaris is a star in Ursa Minor's northern circumpolar constellation. It is known as Ursae Minoris and is also known as the North Star or Pole Star. With an apparent brightness of roughly 1.98, it is the brightest star in the constellation and may be seen with the bare eyes at night. The star's location is less than one degree from the north celestial pole, making it the current northern pole star. The star's constant location in the Northern Sky makes it ideal for navigation.

Its distance is considered as part of the cosmic distance ladder since it is the nearest Cepheid variable. The updated Hipparcos stellar parallax distance to Polaris is approximately 433 light-years (133 parsecs), whereas the successor mission Gaia distance is around 448 light-years  (137 parsecs). Other techniques of calculation produce significantly disparate results.

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An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.

Answers

The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.

An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.

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If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density

Answers

If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".

One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.

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To tighten a loose screw, a torque of 90 N.m must be applied. A wrench that is 30cm long is used to tighten it. Find the minimum force needed

Answers

The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

What is force?

Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.

To find the minimum force needed to tighten the loose screw, we can use the equation:

F = T / r

where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).

We need to convert the length of the wrench from cm to meters before calculating the force:

r = 30 cm / 100 cm/m = 0.3 m

Now we can plug in the values into the equation and find the force:

F = 90 N.m / 0.3 m = 300 N

So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

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Help!!!!!
Question answer in the photo

Answers

Answer: D

Explanation:

The wind will begin to blow the sediments of the arch away, causing the arched structure to become thinner over time. Therefore, the best answer is option D.




The Endocrine System

The body is made up of several systems of

that work together to

life. The endocrine

system is one of these.

make up most of the

endocrine system, which is found in the entire body, and the

These glands secrete

that regulate

bodily

and reactions. Hormones are

that tell certain

of the body to do

certain things.

for example, tells the body that

there is a need for physical activity, which is why we feel

while running, dancing, or playing sports.

Answers

Hormones are substances that communicate with your organs, skin, muscles, and other tissues through your blood to coordinate various bodily functions.

What are the skin's primary purposes?

It serves as a sensory organ (touch, temperature detection), aids in temperature control, protects against mechanical, thermal, and physical injury as well as hazardous substances, prevents moisture loss, reduces the harmful effects of UV radiation, has an immune system that can detect diseases, etc.

The six primary functions of the skin are: protection, absorption, excretion, secretion, regulation, and sensation.

Our first line of defence against harmful chemicals, radiation, and poisons is our skin.

The outside world is kept at bay by a skin barrier. is the first line of defence against potentially harmful microbes.

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If an electric heater is rated at 15,000 W, and the voltage used is 240 V, what size breaker in amps would be required

Answers

The current required by the electric heater which has the power of 15,000 W is 62.5 A

The power of the heater = 15,000 W

The voltage used by the heater = 240 V

The current required by the electric heater can be found using the formula,

              P = VI

where P is the power of the electric heater

          V is the voltage used by the electric heater

           I is the current required by the electric heater

Let us rearrange the above equation in order to get the current required by the heater is

              I = P/V

Let us substitute the known values in the above equation, we get

             I = 15,000 / 240

               = 62.5 A

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What did Galileo discover when he dropped two cannon balls into f different weights from the leaning tower of pisa

Answers

Answer: The time it took for them to fall ere the same.

Explanation:

The only difference was because of resistance, weight doesn't affect the speed of gravity, the speed of gravity stays the same (9.801 meters per second)

A body of mass 3kg is dropped from a tower of height 250m. then its kinetic energy after 3 seconds will be

Answers

Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.

Explanation:

Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.

After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J

This is the kinetic energy of the body after 3 seconds of falling.

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Is torque R * F or F * R?

Answers

Answer:

R*F

Explanation:

1. Ivan pulls a sled loaded with logs to his cabin in the woods. He pullsutbiq si
with a force of 800 N at an angle of 20° above the ground.
a. Draw a free-body diagram of the 4 major forces acting on the
sled. Label each force appropriately.

Answers

The four major forces acting on the sled and the free-body diagram of the 4 major forces acting on the sled is attached below:

The force of gravity pulling down on the sled and logs (labeled as "Fgrav").The force of friction acting against the sled's movement (labeled as "Ffrict").The force of Ivan pulling the sled (labeled as "Fpull").The force of normal acting on the sled (labeled as "Fnorm").What is a free body diagram?

In physics and engineering, a free body diagram (FBD; also called a force diagram) is a graphical representation used to visualize the forces, moments, and resulting reactions applied to a body in a given state. expression. It represents a body or connected bodies that includes all applied forces, moments, and reactions acting on the body. A body can consist of several internal elements (such as a truss), or it can be a compact body (such as a beam). A series of free-body and other diagrams may be required to solve complex problems. A free body diagram consists of:

A simplified version of the body (often a period or box).Forces are represented as straight arrows pointing in the direction they act on an object.A moment is represented as a curve with a single arrow or as a vector with two arrows pointing in the direction acting on the body.One or more reference coordinate systems.Responses to applied forces are usually indicated by dashes through the stem of the vector.

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How electrostatic induction differ from charging by friction

Answers

Explanation:

Electrostatic is a force between two non-conductors

while

Friction oppose the relative motion between two surface or object.

Two negative charges of -3x10-6C exert a repulsive force of 2Non each other. By what distance are they separated?

Answers

The distance between two negative charges experiencing a force of 2 N is: 4.44 x 10^-3 m

According to Coulomb's Law, the magnitude of the electric force between two negative charges is given by:

F = k * q1 * q2 / r^2

where k is the Coulomb constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the charges, and r is the distance between them.

Plugging in the given values, we get:

2N = 8.99 x 10^9 N m^2/C^2 * (-3 x 10^-6 C)^2 / r^2

Solving for r, we get:

r = sqrt(8.99 x 10^9 N m^2/C^2 * (-3 x 10^-6 C)^2 / 2N)

r = 4.44 x 10^-3 m

Coulomb's Law states that the magnitude of the electric force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. The constant of proportionality is known as the Coulomb constant (k). Therefore, the equation for the magnitude of the electric force is given by F = k * q1 * q2 / r^2, where k is the Coulomb constant, q1 and q2 are the charges, and r is the distance between them.

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On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. Why would that be recommended?



a-It keeps the ground from drying out.

b-It protects the water from shrinking in the pipes.

c-It stops the water from getting too salty.

d-It prevents the water from bursting the pipes.

Answers

On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. It would that be recommended because it prevents the water from bursting the pipes.

Option D is correct.

How do we prevent freezing pipes during freezing temperatures?

During freezing temperatures, one of the things that you can do in order to prevent water from freezing and bursting the pipes is to run your faucet because  running water does not freeze as easily as standing water, so letting it drip overnight will help.

The body faces the effects when subjected to freezing temperatures as it the body begins to lose heat faster than it can be produced. Prolonged exposure to cold will eventually use up your body's stored energy. The result is hypothermia, or abnormally low body temperature.

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water can be thought of as a mass of moving particles what evidence supports this idea.

Answers

When temperature of water rises, it stats moving from higher to lower temperature area - this  evidence supports that water can be thought of as a mass of moving particles .

What are the properties of liquid?

The volume retention and conformity to the shape of a liquid's container are two of its most noticeable physical characteristics. When a liquid substance is poured into a container, it conforms to the shape of the container and will stay inside the container so long as the liquid state persists.

Water is a liquid. Hence, water can be thought of as a mass of moving particles.

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The following nuclei are observed to decay by emitting an α particle: 21284Po and 23994Pu.
Part A
Write out the decay process for 21284Po.
Express your answer as a nuclear equation.
Part B
Determine the energy released in this reaction. Be sure to take into account the mass of the electrons associated with the neutral atoms.
Express your answer using three significant figures.
E = MeV
Part C
Write out the decay process for 23994Pu.
Express your answer as a nuclear equation.
Part D
Determine the energy released in this reaction.
Express your answer using three significant figures.
E = MeV

Answers

The mass of the electrons associated with the neutral atoms must also be taken into account.

Part A

21284Po → 20880Pb + 4He

Part B

E = 13.9 MeV

Part C

23994Pu → 23592U + 4He

Part D

E = 16.2 MeV

For Part A and C, the nuclear equations of the decay process are determined by subtracting the mass number of the products from the mass number of the reactants. The mass number of the reactants is the sum of the mass number of the parent nucleus and 4 for the alpha particle.

For Part B and D, the energy released in the reaction is determined by subtracting the mass of the products from the mass of the reactants and converting to energy using the equation E = mc2. The masses of the reactants and products are found using the atomic masses listed in the periodic table. The mass of the electrons associated with the neutral atoms must also be taken into account.

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SOMEONE PLS HELP ME ITS DUE TOMORROW

Answers

Answer:

1) -5 N, Left

2) 14 N, Up

3) 13, Right

4) 10, Right

5) 22, Down

6) 9, Left

Explanation:

IF: Left or Down, then Negative

1) 15+15=30

Left= 30

Right= 25

30-25=5

30>25

2) 60+10=70

Down= 70

84-70= 14

70<84

3) Left= 62

75-62= 13

When a rubber rod is rubbed with wool, the rod becomes negatively charged. What can you conclude about the magnitude of the wool's charge after the rubbing process

Answers

The wool must start out negatively charged before becoming positively charged after donating its electrons to the rubber rod.

What happens when wool is rubbed on a rubber rod?

A rubber rod becomes negatively charged when wool is brushed against it, and the magnitude of the charge on the wool is equal to the charge on the rod. By applying the same amount of negative charge to the rod, the wool becomes positively charged.

Why does a polythene rod become negatively charged when it is brushed against wool?

Electrons generate energy while rubbing a polythene rod with a duster because of the friction. When they have enough energy, electrons can escape from an atom and "rub off" onto a polythene rod.

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A particle travels at a constant speed of 19.0 m / s in a circular path of radius 954.9 cm. How many turns (revolutions) does the particle make in 1 minute

Answers

The 10/π ms² turns (revolutions) the particle make in 1 minute.

What is revolution ?

Whereas rotation involves travelling around the axis, occurs when one body moves around another. As an illustration, the Moon orbits the Earth, and the Earth revolves around the Sun.

What is particle ?

Paul Dirac and other researchers found that the concept could be applied to electrons and everything else in addition to photons, the unit of light called a quanta: Particles are thought to be excitations of quantum fields that are present throughout space, according to quantum field theory.

When the particle completes half revolution change in velocity

Δv=[5−(−5)]m/s=10m/s

Time taken to complete the half revolution is

t = πr/ v

 = π *5 / 5

 = πs

Thus, average acceleration = Δv / t

                                             = 10/π ms²

Therefore, the 10/π ms² urns (revolutions) does the particle make in 1 minute.

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Can you help me please for exercise 2.
In the film Alone on Mars, Mark Watney faints in the rocket responsible for bringing him back to the ship
major. His colleague comments: “He has just taken 13 g, give him two minutes”. Before
going on an expedition, astronauts are prepared to undergo strong accelerations, commonly
quantified in g. On Earth, when a rocket "goes up to 1 g", it means that its speed increases by 10
meters per second, in one second.
The positions successively occupied by Mark have been represented. The duration separating
each position is equal to 0.50 seconds.
+M.
1) Calculate the values ​​of the speeds vo
and go.
2) Prove that the variation of the
speed between times t. and t4 is:
AV = VA - VO = 260 m.s-1
3) What is the time interval At
separating position to and tA?
4) The acceleration 'a' is given by the
formula a = :
If, calculate the acceleration of
Mark between the M. and MA positions
Compare this acceleration with the
g-value. The sentence "He has just
take 13 g»>, it seems to you
correct?
Exercise 3: movement of the Moon (5
pt)
The Moon, the only natural satellite of the
Earth, is in orbit around it
for billions of years. Four
times smaller than the Earth, it puts.

Answers

The velocity, time and acceleration motion of Mark Watney rocket as he moves from M₀ to M₄ is described as follows;

1) v₀ = initial velocity = u

v₄ = u + 260 m/s

2) Δv = u + 260 m/s - u = 260 m/s

3) Δt = 2 seconds

4) Mark's acceleration is 13·g

What is motion under acceleration?

Acceleration is the rate of change of velocity. Motion under a constant acceleration is one in which the velocity of the object changes as time changes.

The scale of the graph is 5 units = 46 meters

The distance between M₀ and M₄ = 25.5 units

1 unit = 46/5 meters/unit

25.5 units = (46/5) m/unit × 25.5 units = 234.6 meters

The time between M₀ and M₄ = 0.5 s × 4 = 2 s

= 25.5 unit × 0.5 s/unit = 12.75 s

The speed at M₄, v₄ =

The location of M₀ = 0

The location of M₄ =

The values of the speeds are;

The distance be

1) The time at M₀, t₀ = 0

The time at t₄ = 2 s

The speed, v = u + a·t

Where;

u = The initial velocity of the rocket

a = The acceleration = 13·g = 13 × 10 m/s² = 130 m/s²

The speed at v₀ = u + 130 m/s² × 0 s = u

The speed at v₄ = u + 130 m/s² × 2 s = 260 m/s

2) The variation of the speed between v₄ and v₀, Δv, is found as follows;

Δv = v₄ - v₀

Therefore;

Δv = 260 m/s - 0 m/s = 260 m/s

3) The number of change in position from M₀ to M₄ is found as follows;

M₀ to M₁M₁ to M₂M₂ to M₃M₃ to M₄

The number of 0.5 seconds between M₀ and M₄ = 4

The time difference between t₀ and t₄ is therefore;

Δt = t₄ - t₀ = 2 seconds

4) The formula for the acceleration is; [tex]a = \dfrac{\Delta v}{\Delta t}[/tex]

Therefore, the acceleration between positions M₀ and M₄ is found as follows;

The speed at M₀ = u

Speed at M₄ = u + 260 m/s

t₄ - t₀ = 2 seconds

[tex]a = \dfrac{u+260 \, m/s - u}{2\, s} = 130\, m/s^2[/tex]

The value of the acceleration due to gravity, g ≈ 10 m/s²

Therefore, a = 13·g

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Why momentum is denoted by P?

Answers

It's unknown where the term "p" for momentum first appeared. Since m had already been used for "mass," it has been proposed that the p may have been derived from the Latin petere or from "progress".

Why is momentum given the letter p?

The letter "I" would cause a misunderstanding between inertia and moment of inertia. The French and Germans selected "p" for momentum because of this.

What does the momentum unit p mean?

The formula p = mv can be used to compute momentum, where p stands for momentum, m for mass, and v for velocity. The usage of the letter p to represent momentum has various benefits. First off, it would be unclear to use m for momentum because m stand for mass.

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A new planet is discovered with a radius that is 1/2 the radius of earth and 1/2 the mass of the earth. What is the acceleration due to gravity on this planet?

Answers

The acceleration due to gravity on this planet is 19.6 m/s².

What is acceleration?

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

What is gravity?

In mechanics, gravity also known as gravitation is the constant force of attraction that pulls all things together. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.

Calculation:

The acceleration due to gravity on the earth's surface is given by

g = ​[tex]\frac{GM}{R^{2} }[/tex]

Now, Mp ​= [tex]\frac{M}{2}[/tex]​, Rp ​= [tex]\frac{R}{2}[/tex]​

The acceleration due to gravity on the new planet is:

[tex]g_{p}[/tex] = [tex]\frac{GM_{p} }{R_{p} ^{2} }[/tex]  ​​=  [tex]\frac{GM/2}{R^{2} /4^{} }[/tex] ​= 2g 

[tex]g_{p}[/tex] ​= 2 × 9.8 = 19.6 m/s².

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The chord of a circle of radius 5 cm subtends a right angle at its centre. Find the length of the chord (in cm).

Answers

The length of the chord of the circle in cm will be equal to 7.07cm.

A chord can be defined as that line segment which joins any two points on the circumference of a circle. The chord of a particular circle is subtending a 90° angle at its center. The radius of the circle is OA = OB =5cm.  

To find the length of the chord AB, we use the Pythagorean Theorem

OA² + OB² = AB²

⇒ 5² + 5² = AB²

⇒ AB = √50 = 7.07 cm

The length of the chord AB is equal to 7.07cm.

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3. Calculate the mass in the following scenarios (g-9.81 N/kg):
a) 1000 J and 10 m
b) 1250 J and 1 m
d) 1550 J and 0.02 m
e) 8900 J and 215 m
g) 98 J and 59 kg
h) 750 J and 0.75 m
c) 1.25 kJ and 90 m
f) 90 J and 1250 m
i) 5 kJ and 980 m

Answers

Hello there!

Formula: A = F * S = mg * S

So m = A/gS

a) m = 1000 J/(9.81 N/kg * 10 m) ≈ 10.194 kg

b) m = 1250 J/(9.81 N/kg * 1 m) ≈ 127.41 kg

d) m = 1000 J/(9.81 N/kg * 10 m) ≈ 7900.1 kg

e) m = 8900 J/(9.81 N/kg * 215 m) ≈ 4.22 kg

g) m = 98 J/(9.81 N/kg * 59m) ≈ 0.17 kg

h) m = 750 J/(9.81 N/kg * 0.75 m) ≈ 101.94 kg

c) m = 1.25 kJ/(9.81 N/kg * 90 m) = 1250 J/(9.81 N/kg * 90 m) ≈ 1.42 kg

f) m = 90 J/(9.81 N/kg * 1250 m) ≈ 0.007339 kg = 7.339 g

i) m = 5 kJ/(9.81 N/kg * 980 m) = 5000 J/(9.81 N/kg * 980 m) ≈ 0.52 kg

What is a way Accenture plans to achieve its sustainability goals by integrating sustainability metrics into all our client engagements?

Answers

One way that Accenture is seeking to achieve its sustainability goals is by integrating sustainability metrics into all of its client engagements.

What is sustainability?

Sustainability is the practice of using resources in a manner that meets the economic, social, and environmental needs of the present without compromising the ability of future generations to meet their own needs. It is a systemic approach to creating and maintaining conditions that allow people to thrive in the present without compromising the planet’s ability to support future generations.

This includes leveraging Accenture’s proprietary Sustainability Maturity Model, which provides a structured approach to measure and track sustainability performance. It also includes embedding sustainability into the design of client projects, developing strategies to enable clients to reach their sustainability goals, and exploring the potential of emerging technologies to accelerate progress. Additionally, Accenture is committed to providing its clients with data-driven insights and best practices that enable them to meet their sustainability objectives.

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A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame?
(Neglect any friction betweem the wall and the picture fame)

Answers

The angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰.

By using the parallelogram law of vector addition, it is possible to calculate the angle between the two wires.

a² + b² - 2abcosθ = R²

Where;

R = is the outcome vector = the frame's weight ⇒ W

Angle between the two wires equals 0.75W for the first wire's tension and 0.75W for the second wire's tension.

(0.75W)² + (0.75W)² - 2(0.75W x 0.75W) cosθ = W²

1.125W² - 1.125W² cosθ = W²

= 1.125W²(1 - cosθ)

W²/1.125W² = 1 - cosθ

0.8889 = 1 - cosθ

cosθ = 1 - 0.8889

cos θ = 0.1111

θ = arc cos(0.1111)

θ = 83.6⁰

So, the angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰

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Ball A has a mass of 3 kg and moves at a velocity of 2 m/s. Ball B has a mass of 1 kg and rolls towards Ball A with a velocity of -4 m/s. After the collision, Ball A has a velocity of -1.5 m/s. What is the velocity of ball B after the collision?
Please show your work.

Answers

The velocity of ball B after the collision is 6.5 m/s.

What is law of conservation of momentum?

According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.

Before collision ,

ball A of mass of 3 kg has velocity = 2 m/s.

ball B of mass of 1 kg has velocity= -4 m/s.

After the collision,

Ball A has a velocity = -1.5 m/s.

Let   Ball B has a velocity = v m/s.

Applying   law of conservation of momentum,

Total initial momentum = total final momentum

3×2 +1×-4 = 3×-1.5 + 1×v

⇒ v = 3×2 +1×-4 - 3×-1.5

⇒ v = 6.5 m/s.

hence, the velocity of ball B after the collision is 6.5 m/s.

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