a 50,000 kg locomotive is traveling at 10 m / s when its engine and brakes both fail. how far will the locomotive roll before it comes to a stop? a ssume the track is level.

Answers

Answer 1

The locomotive will roll approximately 500 meters before coming to a stop.

To calculate the distance the locomotive will roll before coming to a stop, we need to consider the concept of kinetic energy and work done by friction. The initial kinetic energy of the locomotive will be converted into work done by friction, eventually bringing it to a stop.

The kinetic energy (KE) of an object is given by the formula:

KE = (1/2) * mass * velocity^2

In this case, the mass of the locomotive is 50,000 kg, and the initial velocity is 10 m/s. Substituting these values into the formula, we can find the initial kinetic energy:

KE = (1/2) * 50,000 kg * (10 m/s)^2

= 2,500,000 kg * m^2/s^2

Now, the work done by friction will be equal to the initial kinetic energy. The work done (W) by friction is given by the formula:

W = force * distance

Since the locomotive rolls on a level track, the force opposing its motion is the force of friction. The work done by friction will be negative (opposite to the direction of motion) and equal to the initial kinetic energy.

W = -2,500,000 kg * m^2/s^2

To calculate the distance (d) the locomotive will roll before stopping, we rearrange the formula for work done:

W = force * distance

-2,500,000 kg * m^2/s^2 = force * distance

The force of friction (f) can be calculated using the formula:

force = mass * acceleration

Since the locomotive comes to a stop, the acceleration will be negative and equal to the deceleration. We can rearrange the formula for force to find the deceleration (a):

force = mass * acceleration

force = 50,000 kg * acceleration

acceleration = force / mass

Since the force of friction opposes the motion, it will have a negative value. Thus, we can substitute the negative work done and mass values into the formula for acceleration:

acceleration = -2,500,000 kg * m^2/s^2 / 50,000 kg

acceleration = -50 m^2/s^2

Now we can substitute the acceleration value into the formula for distance:

-2,500,000 kg * m^2/s^2 = (-50 m^2/s^2) * distance

Simplifying the equation:

distance = -2,500,000 kg * m^2/s^2 / (-50 m^2/s^2)

distance = 50,000 m

Therefore, the locomotive will roll approximately 50,000 meters or 500 meters before coming to a stop.

The locomotive will roll approximately 500 meters before it comes to a stop when both its engine and brakes fail, assuming the track is level.

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Related Questions

(d) if your mass is 55 kg and you are standing on the equator, what is your personal rotational energy about the earth's north-south axis?

Answers

Standing on the equator, your own rotational energy about the Earth's north-south axis is roughly 1.13 x 1011 joules.

How does the Earth's axis rotate?

The Earth orbits the sun with an inclination of 23.45 degrees and rotates on its axis in reference to the sun every 24.0 hours of mean solar time. Mean solar time is created by averaging out the variations caused by the Earth's non-circular orbit.

We must apply the formula for rotational kinetic energy in order to determine your individual rotational energy about the north-south axis of the Earth:  K_rot = (1/2)Iω²

A solid sphere with mass M and radius R spinning about its diameter has a moment of inertia of I = (2/5)MR2.

The angular velocity, which is equal at all sites along the equator, can be calculated using the formula: = 2/T.

If we enter these numbers into the rotating kinetic energy formula, we get the following results:

K_rot = (1/2)Iω²

= (1/2)(2/5)MR²(2π/T)²

The following results are obtained by substituting your mass (M = 55 kg) with the supplied values of the Earth's radius (R = 6,371 km = 6,371,000 m):

K_rot = (1/2)(2/5)(55 kg)(6,371,000 m)²(2π/24 hours)²

= 1.13 x 10¹¹ joules

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What should you wear when using a treestand

Answers

Always wear a full-body harness also known as a fall-arrest system. Connect to your tether line and keep your tether line short. The tether is designed to keep you in the seat, not to catch you after you fall.

How many chromosomes should there be in a healthy (human) cell?
45
47
36
37
46

Answers

Answer:

46

Explanation:

Brainlest pls :3

Answer:

46

Explanation:

In humans, each cell normally contains 23 pairs of chromosomes, for a total of 46.

Brainlist Pls!

help me please, i need it fast

help me please, i need it fast
help me please, i need it fast

Answers

Answer:

2)  C.  (x - 3)² + (y + 2)² = 25

5)   x² +  y² - 8x - 16y + 54 = 0

6)   x² + y²  - 10x - 12y + 36  = 0

Explanation:

2)

center of circle = 3, -2

                            x1, y1

end point of circle = 7, 1

                                 x2, y2

 

the equation of a circle is Pythagorean theorem

x² + y² = r²    (where r is the radius of a circle)

distance between points  

(x2 - x1)² + (y2 - y1)² = r²

(7 - 3)² + (1 - (-2))² = r²

r² = 25

therefore the equation to the circle is

(x - 3)² + (y + 2)² = 25

=========================================

5)

write the general form of a circle with the center (4,8)

and containing the point (-1, 7)

distance between points  

(x2 - x1)² + (y2 - y1)² = r²

(-1 - 4)² + (7 - 8)² = r²

r² = 26

(x - 4)² + (y - 8)² = 26

(x - 4)(x - 4) +  (y - 8)(y - 8) = 26

x² - 8x + 16 + y² - 16y + 64 -26 = 0

x² +  y² - 8x - 16y + 54 = 0

=========================================

6)

find the general form of a circle with center (5,6)

and tangent to the y-axis.

           

center (5,6)

           h, k

radius = r²

r = 5

(x - h)² + (y - k)² = r²

(x - r)² + (y - k)² = r²

(x - 5)(x - 5) + (y - 6)(y - 6) = r²

x² - 10x + 25 + y² - 12y + 36 = 25

x² + y²  - 10x - 12y + 36  = 0

=========================================

For a wave pulse on a string to travel twice as fast, the string tension must be

1-Decreased to one fourth its initial value.
2-Increased by a factor of 4.
3-Not possible. The pulse speed is always the same.
4-Increased by a factor of 2.
5-Decreased to one half its initial value.

choose the corecct answer.

Answers

Option B;  A wave pulse on a string to travel twice as fast, the string tension must be 2-Increased by a factor of 4.

wave velocity is given by

v =2v.

T = 4T

As the pulling force transmitted axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object, tension is defined; it can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. Compression's opposite, tension, might exist.

When molecules or atoms are forced apart at the atomic level and accumulate potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. Under such stress, each end of a string or rod might pull on the thing to which it is linked, releasing the tension and allowing the string or rod to return to its relaxed length.

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If a radio wave carries information by changing the amplitude of the transmitted wave, what kind of broadcast might it possibly be?.

Answers

Answer:

AM (Amplitude Modulation)

Explanation:

In AM broadcasting, the amplitude of the radio wave is changed to match the audio signal being transmitted. By modifying the amplitude, the audio signal is combined with a carrier wave, resulting in a modulated wave that carries the audio information.

a 120 v electric iron draws 3.44 a of current. how much heat is developed per hour? answer in units of j.

Answers

The heat developed per hour by an 120V electric iron that draws 3.44A current is 1,485,120 Joules.

The Heat is calculated by Heat = Current * Voltage

By substituting the values of Current and Voltage,

Heat = 3.44 A *120 V

Heat = 412.8 J

Therefore, an electric iron drawing 3.44 A of current will develop 412.8 J of heat.

Now we can use the power and time values to calculate the amount of heat developed per hour:

Time = 1 hour = 3600 seconds

Energy = Power *Time

= 412.8 W *3600 s

= 1,485,120 J

Therefore, the amount of heat developed by the electric iron in one hour is 1,485,120 Joules.

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How do you find the force of a ping-pong ball rolling down a track?

Answers

Answer:

Weight

a) weight's vertical component = Normal upward force

b) weight's horizontal component = Friction force = (mass of ball)(acceleration)

These forces depend upon the track,

1) inclined or horizontal

2) steepness.

Explanation

The force of gravity points straight down, but a ball rolling down a ramp doesn't go straight down, it follows the ramp. Therefore, only the component of the weight which points along the direction of the ball's motion can accelerate the ball.

weight's horizontal component = Friction force = (mass of ball)(acceleration)

The other component pushes the ball into the ramp, and the ramp pushes back.

If the ramp is horizontal, then the ball does not accelerate, as gravity pushes the ball into the ramp and not along the surface of the ramp. Hope this helps. Can u give me brainliest

Explanation:

Question 12
If an object is moving in a ____
line, the change in velocity equals the final speed minus the initial speed.

Answers

If an object is moving in a straight line, the change in velocity equals the final speed minus the initial speed.

What is the change in velocity?

The change in velocity of an object moving in a straight line is a measure of how much its speed has changed over time. The change in velocity is equal to the final speed minus the initial speed, and it is a vector quantity, meaning it has both magnitude and direction.

For example, if an object is moving at a speed of 10 m/s at time t1 and has a speed of 20 m/s at time t2, then its change in velocity would be;

20 m/s - 10 m/s = 10 m/s.

The direction of the change in velocity would depend on the direction of the speed change, which could be either positive (increasing speed) or negative (decreasing speed).

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9. In deserts, deflation can sometimes create an area of rock fragments called __.
A. A loess deposit
B. Desert pavement
C. Sand dunes
D. A sand bar

Answers

Deflation is a geological process in which wind removes loose surface material, such as sand, silt, and clay, leaving behind only the larger rocks and boulders. Over time, this can result in the formation of an area of rock fragments called desert pavement.

What is Deflection?

Deflection is the displacement of an object or structure under load. It is the degree to which a structural element is displaced when subjected to a load. In engineering, deflection refers to the amount by which a structural element deforms under a load. The amount of deflection depends on several factors, including the type of material, the size and shape of the element, and the amount and direction of the load. Deflection can be measured and calculated for various types of structures, including beams, columns, and plates, and is an important consideration in the design and analysis of these structures.

Desert pavement is a surface layer of tightly packed gravel and rocks, typically found in arid or semi-arid regions. It forms when wind erosion removes the finer particles, leaving behind the larger rocks that are too heavy to be moved by the wind. The rocks are then compacted by gravity and the weight of the overlying material, creating a hard, durable surface that is resistant to further erosion. Desert pavement can also be referred to as reg, gibber plain, or stony desert.

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roseeldavis
2 hours ago
Physics
High School
answered
Please help me with this question soon.
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L

1) Which block has the greatest density?

Block A
Block B
Block C
Block D
Block E

2) Which block has the lowest density?

Block A
Block B
Block C
Block D
Block E

3) Submit your data table and identify the substance each block is made of.

Answers

Answer: Block A - 19.3

Block B - 0.64

Block C - 0.70

Block D - 0.917

Block E - 3.53

Explanation: i hope this helps you a little

7.According to the periodic table, how many total particles are there in the nucleus of a Titanium, Ti, atom?

Answers

Answer:

there are 22 massive, positively charged, fundamental particles in the element's nucleus. Given this, the element is unquestionably titanium.

The nucleus of titanium contains 46 particles in total in which 22 protons and 26 neutrons.

What is atomic nucleus?

The atomic nucleus can be described as the small and dense region containing of protons and neutrons at the center of an atom. An atom is made of a positively charged nucleus, with electrons surrounding it, bound together by electrostatic force.

Almost all of the mass of an atom is concentrated in the nucleus as the mass of electrons is negligible. Neutrons and Protons are bound together to create a nucleus by the nuclear force.

The diameter of the nucleus is about 1.70 fm for hydrogen to about 11.7 fm for uranium. Protons and neutrons are fermions, are the particles present inside the nucleus.

The titanium has 22 protons and 26 neutrons in its nucleus so it has 46 particles in its atomic nucleus.

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Explain the conditions through which friction can be increased.​

Answers

Answer:

Friction can be increased the longer two objects are rubbed together, since the longer they are rubbed is the more heat produced.

Explanation:

Answer:

walking, car moving

Explanation:

basically anything with two surfaces pressing together ig

Supposing d(t) is known to have value D,
what procedure will find the time t at which
this happens?
2. Set d(t) equal to v^2/a
6. Set a to zero

Answers

You don’t set it to zero because that’s not how to do it

a scientist notes a pretty oil slick on the surface of a body of water. she aims her spectrometer at a spot on the oil slick to measure the wavelength that is being most strongly reflected. the oil index is 1.2, and she finds maximum reflection at a wavelength of 750 nm. what is the thickness of the oil layer in nm?

Answers

These thin films have a thickness that varies from 15 nm, or 1/30 the length of light waves, to 3000 nm, or 6 times the wavelength od visible light, or about 3 microns.

How do you gauge the thickness of oil?

Microns (m), or one thousandth of a meter, are used to quantify the thickness of oil films in machinery. Figure 1 depicts a natural hair, that measures 70 to 100 m (0.003 to 0.004 inch) in length, under an electron microscope. The smallest object that a human can see is 40 m, or roughly the width of a hairs.

Which number has heavier oil?

The oil is thicker the higher the number. The oil is thinner the lower the number. A grade of 5W-30, for instance, indicates that the oils has a velocity grade of 30 at 212°F, or 100°C, the typical working temperature of an engine.

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a boys weight is 539 N -what is his mass

Answers

The boy's mass is approximately 55 kg.

An organ pipe closed at one end and open at the other has a length of 1.8 m.

An organ pipe closed at one end and open at the other has a length of 1.8 m.

Answers

Given,

The length of the pipe, L=1.8 m

Speed of the sound, v=340 m/s

To form the standing wave with the longest wavelength, the number of nodes of the thus formed standing wave should be equal to 1.

The wavelength of the standing wave created in a closed-end pipe is given by,

\(\lambda=\frac{4}{1}L\)

On substituting the known values,

\(\begin{gathered} \lambda=\frac{4}{1}\times1.8 \\ =7.2\text{ m} \end{gathered}\)

Thus the longest possible wavelength is 7.2 m

The frequency of this standing wave is given by,

\(f=\frac{v}{\lambda}\)

On substituting the known values,

\(\begin{gathered} f=\frac{340}{7.2} \\ =47.22\text{ Hz} \end{gathered}\)

Thus the frequency of this standing wave is 47.22 Hz.

Two billiard balls of equal mass collide. Ball 1 is initially moving at 0.43 m/s to the left, and ball 2 is initially at rest. Which of the following sets of final velocities does not describe an inelastic collision between the balls?


A. Ball 1 at 0.12 m/s left, Ball 2 at 0.31 m/s left

B. Ball 1 at 0.21 m/s left, Ball 2 at 0.22 m/s left

C. Ball 1 at 0.10 m/s left, ball 2 at 0.33 m/s left

D. Ball 1 at rest, ball 2 at 0.43 m/s left

Answers

The answer should be (B)

Answer: B

"Ball 1 at 0.21 m/s left, Ball 2 at 0.22 m/s left"

how many tries did it take to invent the lightbulb?

Answers

It took 1,00 attempts

Sound waves are alternating regions of compression and decompression of molecules.The pitch of the sound depends on the ________ of the sound waves and sound intensity on the _____________

Answers

The pitch of a sound wave depends on its frequency, which is the number of cycles or vibrations that occur per second. Higher frequency waves produce higher pitch sounds, while lower frequency waves produce lower pitch sounds.

For example, a high-pitched whistle produces sound waves with a high frequency, while a low-pitched drum produces sound waves with a lower frequency.

On the other hand, the intensity of a sound wave is related to its amplitude, or the height of the wave. A sound wave with a larger amplitude produces a louder sound, while a sound wave with a smaller amplitude produces a softer sound. Intensity is measured in decibels (dB), and the threshold of human hearing is around 0 dB. A sound that is 10 times louder than the threshold of hearing has an intensity of 10 dB, while a sound that is 100 times louder has an intensity of 20 dB, and so on.

In summary, the pitch of a sound wave is determined by its frequency, while the intensity of a sound wave is determined by its amplitude.

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The speedometer of an automobile measures the rotational speed of the axle and converts that to a linear speed of the car, assuming the car has 0. 62 m diameter tires. What is the rotational speed of the axle when the car is traveling 20 m/s?

Answers

The rotational speed of the axle when the car is traveling 20 m/s is approximately 64.52 rad/s.

What is Rotational speed ?

Rotational speed, also known as angular velocity, is the measure of how quickly an object rotates around an axis or a center of rotation. It is usually measured in radians per second (rad/s) or revolutions per minute (RPM).

The linear speed of the car is related to the rotational speed of the axle by the formula:

v = rω

where v is the linear speed, r is the radius of the tire (half the diameter), and ω is the angular speed of the axle.

In this case, the linear speed of the car is 20 m/s and the radius of the tire is:

r = 0.62 m / 2 = 0.31 m

So we can rearrange the formula to solve for ω:

ω = v / r

ω = 20 m/s / 0.31 m

ω ≈ 64.52 rad/s

Therefore, the rotational speed of the axle when the car is traveling 20 m/s is approximately 64.52 rad/s.

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HELPPP PLEASE QUICk :(




What performance is Evaluate skill performance against a scale

A) Coaches

B) SMART goal setting

C) Self‒reflection

D) Rubrics

Answers

Evaluate skill performance against a scale is known as Rubrics; option D

What is performance evaluation?

Performance evaluation is the systematic process of assessing the performance of an individual in a certain task, skill or job.

Performance evaluation is done against a set of standard measurements or a rating scale known as Rubrics.

Rubrics use a set of specific criteria to evaluate an individual student or a group of students performance in a certain task assigned to them.

Rubrics use  a rating system where points or scores are awarded depending on the skillset level or ability demonstrated.

In conclusion, rubrics are used to evaluate performance.

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What was the most interesting discovery you made during this module and why?

Answers

The discovery of a new concept or theory that revolutionized the way one thinks about a subject, leading to a new understanding of the topic.

Learning about a new technology or methodology that can improve efficiency, productivity, and accuracy in a given field of study.

The realization that a previously held belief or assumption was incorrect, and that one needs to rethink their approach to the subject area.

Discovering a new research study that challenges the established theories or introduces new methods of conducting research.

The discovery of new tools, techniques, and resources that can enhance one's learning experience and improve their ability to apply what they have learned in real-world situations.

In conclusion, the most interesting discovery made during a module is subjective and depends on the individual's interest and experiences.

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a school building consumes electricity from the grid at night while contributing energy back to the grid during the day from on-site solar panels, resulting in the school having no electricity costs. this is an example of:

Answers

The scenario described is an example of "net-zero energy" or "zero net energy" building. This is a building that produces as much energy from renewable sources (such as solar panels) as it consumes from the grid over the course of a year.

In the case of the school building, the solar panels generate excess electricity during the day which is fed back into the grid, and the building consumes electricity from the grid during the night when there is no solar energy available. Over the course of a year, the energy consumed from the grid and the energy generated by the solar panels balance out, resulting in zero net energy consumption from the grid and no electricity costs for the school.

Net-zero energy buildings are becoming increasingly popular as a way to reduce greenhouse gas emissions and lower energy costs. They typically use a combination of energy-efficient design, on-site renewable energy generation, and energy storage systems to achieve their goal of zero net energy consumption.

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) A photo emissive surface has a threshold frequency of 4.02 x 10¹4Hz. Calculate the (i) threshold wavelength. (ii) work funtion. (iii) Kinetic energy of the emitted photoelectrons. (c = 3.0 x 108ms ¹; h=6.63 x 10-³4 Js).​

Answers

Answer:

i) The threshold wavelength is approximately 7.46 x 10⁻⁷ m.
ii) The work function is approximately 2.67 x 10⁻¹⁹ J.
iii) The kinetic energy of the emitted photoelectrons is approximately 2.66 x 10⁻¹⁹ J.


Step-by-step Explanation:

(i) The threshold frequency (f) is given as 4.02 x 10¹⁴ Hz. We can use the formula:

f = c/λ,

where c is the speed of light and
λ is the wavelength.

Rearranging the formula to solve for λ, we get:

λ = c/f
= (3.0 x 10⁸ m/s)/(4.02 x 10¹⁴ Hz)
≈ 7.46 x 10⁻⁷ m

Therefore, the threshold wavelength is approximately 7.46 x 10⁻⁷ m.

(ii) The work function (Φ) is defined as the minimum amount of energy required to remove an electron from the metal surface. We can use the formula:

Φ = hf - KE, where h is the Planck's constant, f is the frequency of the incident radiation, KE is the kinetic energy of the emitted photoelectrons.

At threshold frequency, the kinetic energy of the emitted photoelectrons is zero. Therefore, we can use the threshold frequency and Planck's constant to find the work function:

Φ = hf = (6.63 x 10⁻³⁴ J s)(4.02 x 10¹⁴ Hz) ≈ 2.67 x 10⁻¹⁹ J

Therefore, the work function is approximately 2.67 x 10⁻¹⁹ J.

(iii) The kinetic energy of the emitted photoelectrons can be found using the formula:

KE = hf - Φ

At threshold frequency, the kinetic energy is zero. Therefore, we can use the work function to find the kinetic energy of the emitted photoelectrons:

KE = hf - Φ = (6.63 x 10⁻³⁴ J s)(4.02 x 10¹⁴ Hz) - 2.67 x 10⁻¹⁹ J ≈ 2.66 x 10⁻¹⁹ J

Therefore, the kinetic energy of the emitted photoelectrons is approximately 2.66 x 10⁻¹⁹ J.

A peanut burned in a calorimeter transfers 18,200 joules to 100.0 g of water. What is the rise in the water's temperature

Answers

The rise in the water's temperature, given that 18200 joules was transferred to the 100.0 g of water is 43.5 °C

How do I determine the temperature rise of the water?

Heat transferred I related to temperature rise by the following formula:

Q = MCΔT

Where

Q is the heat transferred M is the mass C is the specific heat capacity ΔT is the temperature rise

With the above formula, we can determine the temperature rise as illustrated below.

The following data were obtained from the question:

Heat transferred (Q) = 18200 JoulesMass of water (M) = 100.0 gSpecific heat capacity of water (C) = 4.184 J/gºC Temperature rise (ΔT) =?

Q = MCΔT

18200 = 100 × 4.184 × ΔT

18200 = 418.4 × ΔT

Divide both sides by 418.4

ΔT = 18200 / 418.4

ΔT = 43.5 °C

Thus, we can conclude from the above calculation that the temperature rise of the water is 43.5 °C

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While eating lunch high up in a skyscraper, two construction workers calculate their gravitational potential
energies, and find them to be equal. If the lighter construction worker has a mass of 90kg, and the other worker
is twice as high up in the skyscraper, what is the mass of the other worker?

Answers

Answer:

The mass of the other worker is 45 kg

Explanation:

The given parameters are;

The gravitational potential energy of one construction worker = The gravitational potential energy of the other construction worker

The mass of the lighter construction worker, m₁ = 90 kg

The height level of the lighter construction worker's location = h₁

The height level of the other construction worker's location = h₂ = 2·h₁

The gravitational potential energy, P.E.,  is given as follows;

P.E. = m·g·h

Where;

m = The mass of the object at height

g = The acceleration due to gravity

h = The height at which is located

Let P.E.₁ represent the gravitational potential energy of one construction worker and let P.E.₂ represent the gravitational potential energy of the other construction worker

We have;

P.E.₁ = P.E.₂

Therefore;

m₁·g·h₁ = m₂·g·h₂

h₂ = 2·h₁

We have;

m₁·g·h₁ = m₂·g·2·h₁

m₁ = 2·m₂

90 kg = 2 × m₂

m₂ = (90 kg)/2 = 45 kg

The mass of the other construction worker is 45 kg.

An object with a mass of 40 kg is acted on by a net force of 680 N.
Determine the acceleration of the object.

Answers

Answer:

The acceleration of the object is \(17\ m/s^2\)

Explanation:

Force

Newton's second law states the net force exerted by an external agent on an object of mass m is:

F=m.a

Where a is the acceleration produced on the object.  The acceleration can be calculated by solving for a:

\(\displaystyle a=\frac{F}{m}\)

We have an object with a mass of m=40 kg that is acted on by a net force of F=680 N.

Calculate the acceleration:

\(\displaystyle a=\frac{680\ N}{40\ kg}\)

Calculating:

\(a = 17\ m/s^2\)

The acceleration of the object is \(17\ m/s^2\)

If a certain amount of ideal gas occupies a volume 8.7 m3 with a pressure of 6 atm and temperature 4.8 oC on earth, what would be its volume on another planet, where the temperature is 8.7oC and the pressure is 7.9 atm ? The answer is in unit of m3

Answers

Answer:

The volume of the ideal gas on another planet will be 6.7 m³.

Explanation:

We can find the volume occupied by the ideal gas on another planet by using the Ideal Gas Law:

\( PV = nRT \)

Where:

P: is the pressure

V: is the volume

n: is the number of moles

R: is the gas constant = 8.206x10⁻⁵ m³ atm K⁻¹mol⁻¹

T: is the temperature              

Since the gas occupies a volume of 8.7 m³ with a pressure of 6 atm and temperature 4.8 °C on earth, we have the following number of moles:

\( n = \frac{PV}{RT} = \frac{6 atm*8.7 m^{3}}{8.206 \cdot 10^{-5} m^{3}atm/(Kmol)*(4.8 + 273)K} = 2289.9 moles \)

Now we can calculate the volume occupied by the ideal gas on another planet:

\( V = \frac{nRT}{P} \)

With T = 8.7 °C and P = 7.9 atm

\( V = \frac{2289.9 moles*8.206 \cdot 10^{-5} m^{3}atm/(Kmol)*(8.7 + 273)K}{7.9 atm} = 6.7 m^{3} \)

Therefore, the volume of the ideal gas on another planet will be 6.7 m³.

I hope it helps you!                              

In your body a gland secrets a hormone, that hormone is transported by the blood to your body, the body responds and changes.



What body systems are described?

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The answer is body systems !
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