An ideal (non-viscous, incompressible) fluid flows through a horizontal pipe. The fluid density is 900 kg/m3. Initially, the pipe has a diameter of 0.7 cm and the fluid flows at a speed of 9 m/s at a pressure of 13,000 N/m2. Then, the pipe widens to a diameter of 2.1 cm. What is the speed of the fluid in the wider section of the pipe, in units of m/s

Answers

Answer 1

Answer:

the speed of the fluid in the wider section of the pipe is 1m/s.

Explanation:

By equation of continuity we can write (for ideal (non-viscous, in-compressible).

\(A_1v_1 =A_2v_2\)

A_1,A_2 are areas of the pipe at inlet and outlet of the pipe.

\(\Rightarrow \pi d_1^2v_1=\pi d_2^2v_2\)_1

Here, d_1 , d_2 are diameters of inlet and outlet, also v_1, v_2 are velocities at inlet and outlet.

putting values we get

\(\Rightarrow \p 0.7^2\times9=\pi 2.1^2\timesv_2\)

solving we get

\(v_2= 1m/s\)


Related Questions

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0.
amplitude 6.45 in., frequency 30 Hz

Answers

The function for the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0 is y = 6.45 cos(60π*t).

Moving an object back and forth along a line is known as simple harmonic motion.

See a pendulum, for instance. It follows the same path when we swing it back and forth. Oppositions are what these motions are. A simple harmonic motion example is the oscillations of a pendulum.

\(y=Acos(Bt)\)

has amplitude |A| and period 2π/B, and reaches its maximum at t=0.

So we choose A = 6.45

Period = 1/frequency

Period = 2π/B = 1/30

2π/B = 1/30

B = 60π

y = A.cos(Bt)

y = 6.45 cos(60π*t)

Therefore, The function for the simple harmonic motion is y = 6.45 cos(60π*t).

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What is the powder taking the shape of?
The magnetic field
The poles
A snowman
A star

Answers

The powder takes the shape of a magnetic field.

What is the particle shape of powder?

Powder morphology is connected to the shape and size of powder particles and is strongly dependent on the manufacturing methods. For example, mechanical alloying or mechanical milling leads to unevenly shaped powder particles, while gas dissipation leads to spherically shaped particles.

Atomized metal powder particles come in two basic particle shapes: those that are almost superbly round called spherical, and those that have lopsided, rounded shapes, called spheroidal.

So we can conclude that Powders are a group of particles of different sizes.

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areaAgNO3 + ___Response area_Li →_____Response areaLiNO3 +____Response areaAg


areaAgNO3 + ___Response area_Li _____Response areaLiNO3 +____Response areaAg

Answers

Answer:

1 is 3 -1

Explanation:

yan po ang tamang sagot thank you four gave thise answer thise if iam rong sorry i dont gate thinking

Air at 273K and 1.01x10³Nm2 pressure contains 2.70x1025 molecules per cubic meter. How many molecules per cubic meter will there be at a place where the temperature is 223K and pressure is 1.33x10 Nm-2​

Answers

The molecules of O2 that are  present in 3.90 L flask at  a temperature of 273 K and a pressure of 1.00 atm is 1.047 x 10^23 molecules  of O2

Step  1:  used the ideal gas equation to calculate the moles of O2

that is Pv=n RT  where;

P(pressure)= 1.00 atm

V(volume) =3.90 L

n(number of moles)=?

R(gas constant) = 0.0821 L.atm/mol.K

T(temperature) = 273 k

by  making n the subject of the formula by  dividing  both side by RT

n= Pv/RT

n=[( 1.00 atm x 3.90 L)  /(0.0821 L.atm/mol.k  x273)]=0.174  moles

Step 2: use the Avogadro's  law constant  to calculate  the number of molecules

that  is  according to Avogadro's law

                          1  mole =  6.02 x10^23  molecules

                            0.174 moles=? molecules

by  cross  multiplication

the number of  molecules

= (0.174  moles x  6.02 x10^23  molecules)/ 1 mole  =1.047 x 10^23 molecules of O2

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Space tourists promoted motel and restaurant development.

Retired space professionals promoted new home and community growth.

Space themed business opened all over.

More colleges and universities taught space related mathematics, engineering, sciences, and foreign languages.


Which of these is true of all the above statements?

Responses


A Space is the only important aspect of Florida's culture.Space is the only important aspect of Florida's culture.

B Space has had very little influence of Florida's culture.Space has had very little influence of Florida's culture.

C Space is a very important aspect of Florida's culture.Space is a very important aspect of Florida's culture.

D Space has not been a very important aspect of Florida's culture.

(update: its c)

Answers

The right answer is C. Space plays a significant role in Florida culture. Space plays a significant role in Florida culture.

What additional elements, outside space-related activity, have helped Florida's culture develop?

The natural environment, history, diversified population, and well-liked attractions like beaches and amusement parks are some of the influences on Florida's culture.

What are some possible negative effects of making space-related pursuits a significant part of Florida's culture?

Although Florida has benefited economically and educationally from space-related activity, focusing on this industry as a significant part of the state's culture could have negative effects. Moreover, emphasizing space-related operations could put other crucial industries, like healthcare or environmental conservation.

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A spherical balloon has a radius of 6.95 m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. The skin and structure of the balloon has a mass of 950 kg. Neglect the buoyant force on the cargo volume itself. Determine the largest mass of cargo the balloon can lift. Express your answer to two significant figures and include the appropriate units.

Answers

volume of balloon

= 4/3 T R3

= 4/3 x 3.14 x 6.953

= 1405.47 m3

uplift force

= volume of balloon x density of air x 9.8

= = 1405.47 x 1.29 x 9.8

= 1813.05 x 9.8 N

weight of helium gas

= volume of balloon x density of helium x

9.8

= 1405.47 x .179 x 9.8

= 251.58 x 9.8 N

Weight of other mass = 930 x 9.8 N Total weight acting downwards

= 251.58 x 9.8 +930 x 9.8

= 1181.58 x 9.8 N

If W be extra weight the uplift can balance

1181.58 × 9.8 + W × 9.8 = 1813.05 * 9.8

1181.58+W=1813.05

W= 631.47 kg

Which of the following X-Y tables agrees with
the information in this problem?
A)
Vi
Vf
a
ΔΧ
t
A plane is flying east at 115 m/s. The wind
accelerates it at 2.88 m/s² directly northwest.
After 25.0 s, what is the velocity of the plane?
X
115
?
Y
115
?
88 2.88
2.88
25
25
B) X
V₁
Vf
a 2.04 2.04
ΔΧ
t
Y C) X
V₁ 115
V₁
?
0115
25
25
a -2.04
ΔΧ
t
25
Y
0
?
2.04
25

Which of the following X-Y tables agrees withthe information in this problem?A)ViVfatA plane is flying

Answers

Table A agrees with the information in the problem. After 25.0 seconds, the velocity of the plane is 187 m/s.

Based on the given problem, we need to determine the velocity of a plane after 25.0 seconds. The plane is initially flying east at a velocity of 115 m/s, and it experiences an acceleration of 2.88 m/s² in the northwest direction.

Let's analyze each option and calculate the final velocity (Vf) of the plane after 25.0 seconds:

Option A:

Vi = 115 m/s

a = 2.88 m/s²

t = 25.0 s

Using the equation Vf = Vi + at, we can calculate:

Vf = 115 m/s + (2.88 m/s²)(25.0 s) = 115 m/s + 72 m/s = 187 m/s

Option B:

V₁ = 2.04 m/s

a = 2.04 m/s²

t = 25.0 s

Using the equation Vf = V₁ + at, we can calculate:

Vf = 2.04 m/s + (2.04 m/s²)(25.0 s) = 2.04 m/s + 51 m/s = 53.04 m/s

Option C:

V₁ = 115 m/s

a = -2.04 m/s²

t = 25.0 s

Using the equation Vf = V₁ + at, we can calculate:

Vf = 115 m/s + (-2.04 m/s²)(25.0 s) = 115 m/s - 51 m/s = 64 m/s

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The rate an object is moving relative to a reference point is its
A
velocity
B
speed.
с
deceleration rate.
D
mechanical potential energy rate.

Answers

Answer:

B

speed.

Explanation:

hope it helps you

Can water act as a wave medium?​

Answers

Answer:

\(\huge\underline\color{green}{Answer \: ☘}\)

In the case of a water wave in the ocean, the medium through which the wave travels is the ocean water. In the case of a sound wave moving from the church choir to the pews, the medium through which the sound wave travels is the air in the room.

hope helpful~

The strength of the force exerted on the pod during the collision is larger than the strength of the force exerted on the space station, but the forces are exerted in different directions.

Answers

Answer: In the collision, the strength of the force exerted on the pod is greater than the strength of the force exerted on the space station, but those forces are exerted in opposite directions.

Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.760 m2 , separated by a layer of air with a thickness of 1.65 cm . The temperature on one side of the window is 0.00 ∘C; the temperature on the other side is 23.0 ∘C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65 cm of air with a temperature difference of 23.0 ∘C . (The exact result for the complete window is 24.4 J/s .)

Answers

The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.

First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.

Next, we calculate the effective thermal conductivity of the air layer as:

k_eff = (k_air * L_air) / (L_air + k_glass)

Substituting the given values, we have:

k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air

Now, we can calculate the heat flow per second through the air layer using the formula:

Q = (k_eff * A * ΔT) / L_air

Substituting the given values, we get:

Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s

Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.

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Silly Goose falls 1.0 m to the floor. How long does the fall take

Answers

Answer:You need to give more explanation sorry

Explanation:

Answer:

4.20 seconds

Explanation:

Supposing that silly goose weighs 69 pounds, we need to start on the math.

Simple maths, truly and really. 69/1=69, of course.

Therefore it will take 4.20 seconds for silly goose to hit the ground. if he is going to be a silly goose though, he can just go in the pond, instead of wasting his time.

A jet flew from Kennedy Airport in New York City to Orlando, Florida, in
3 hours. Kennedy Airport and Orlando, Florida, are about 1,500 kilometers
apart. What was the velocity of the jet?

Answers

Answer:

500km/h

Explanation:

I don't know what units you need the answer in, but if the units were to stay the same, then that's the answer^.

When a hot metal cylinder is dropped into a sample of water, the water molecules

Answers

Answer:

I believe the answer is speed up.

Explanation:

this is because when water heats up the molecules move father apart from each other they speed up, eventually causing the water to boll

The surface of the sun has a temperature of about 5800K and consists largely of hydrogen atoms. Find the rms speed of a hydrogen atom at this temperature. (The mass of a single hydrogen atom is 1.67×10−27kg.) The escape speed for a particle to leave the gravitational influence of the sun is given by (2GM/R)1/2, where M is the sun's mass, R its radius, and G the gravitational constant. The sun`s mass is M=1.99×1030kg, its radius R=6.96×108m and G=6.673×10−11N⋅m2/kg2. Calculate the escape speed for the sun.

Answers

This question involves the concepts of kinetic energy, escape velocity, and rms speed.

a) The rms speed of hydrogen atom at 5800 K is "11991 m/s".

b) The escape velocity for the Sun is "6.18 x 10⁵ m/s".

a)

We will use the formula of the average kinetic energy of gas molecules to find out the rms speed of the hydrogen atom. rms speed is the root mean square speed of an atom:

\(K.E = \frac{3}{2}KT=\frac{1}{2}mv^2\\\\v=\sqrt{\frac{3KT}{m}}\)

where,

v =rms speed = ?

K = Boltzman's Constant = 1.38 x 10⁻²³ J/k

T = absolute temperature = 5800 k

m = mass of hydrogen atom = 1.67 x 10⁻²⁷ kg

Therefore,

\(v=\sqrt{\frac{3(1.38\ x\ 10^{-23}\ J/k)(5800\ k)}{1.67\ x\ 10^{-27}\ kg}}\)

v = 11991 m/s

b)

The escape velocity of the Sun is given by the following formula:

\(v_e=\sqrt{\frac{2GM}{R}}\)

where,

ve = escape velocity = ?

G = Gravitational Constant = 6.673 x 10⁻¹¹ N.m²/kg²

M = Mass of Sun = 1.99 x 10³⁰ kg

R = radius of Sun = 6.96 x 10⁸ m

Therefore,

\(v_e=\sqrt{\frac{2(6.673\ x\ 10^{-11}\ N.m^2/kg^2)(1.99\ x\ 10^{30}\ kg)}{6.96\ x\ 10^8\ m}}\)

\(v_e = 6.18\ x\ 10^5\ m/s\)

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1.
How does centripetal force due to gravity keep a satellite in orbit?

It continuously changes the direction of the satellite.

It provides the thrust to launch the satellite into space.

It prevents the satellite from falling toward Earth.

It keeps increasing the speed of the satellite.

Answers

Answer:

1st one,.

It changes the direction,

And satellite falls in earth infinity,

Its total workdone is zero

Answer:

It continuously changes the direction of the satellite.

Explanation:

our Welcome (; (:

Starting from a location with position vector 1,=−18.7 m
and 1,=21.5 m
, a rabbit hops around for 10.7
seconds with average velocity ,=−2.17 m/s
and ,=1.71 m/s
. Find the components of the position vector of the rabbit's final location, 2,
and 2,

^ is the same as the picture

Starting from a location with position vector 1,=18.7 m and 1,=21.5 m , a rabbit hops around for 10.7

Answers

The components of the position vector of the rabbit's final location r₂, x and r₂, y is 36.77 m.

How to calculate position?

To find the final location of the rabbit, calculate the displacement of the rabbit, which is given by the product of average velocity and time.

r₂, x = 1, + vx x t = -18.7 - 2.17 x 10.7 = -43.77 m

r₂, y = 1, + vy x t = 21.5 + 1.71 x 10.7 = 36.77 m

Therefore, the components of the position vector of the rabbit's final location are r2x = -43.77 m and r2y = 36.77 m.

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Calculate the acceleration due to gravity on a planet that has a radius of 6.378×10⁶ m and as mass of 5.972×10²⁴ kg.

Answers

Determine the planet's radius and mass. Use the formula g=GMR2 to get the acceleration 93.63×10¹⁶m/s brought on by gravity on that planet's surface.

What is the equation to determine the acceleration caused by gravity?

The most practical formula for estimating the acceleration caused by gravity is given by these two laws: g = G*M/R2, where g is the acceleration caused by gravity, G is M represents mass, R is distance, and G is the gravitational constant of the universe.

Calculation:

g = G*M/R2,

g = 5.972×10²⁴/ 6.378×10⁶

g = 5.972×10¹⁸/6.378

g = 93.63×10¹⁶m/s

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An 8.0 Kg mass is placed at = 3 where should a 10 Kg mass be placed along the − so that the center of mass will be located ay = 4.5?

Answers

Answer:

Therefore, the 10 kg mass should be placed at x = 5.7 m along the x-axis to achieve a center of mass located at y = 4.5 m.

Explanation:

To find the position along the x-axis where a 10 kg mass should be placed such that the center of mass is located at y = 4.5, we can use the formula for the center of mass:

x_cm = (m1 * x1 + m2 * x2) / (m1 + m2)

Here, m1 and x1 represent the mass and position of the 8 kg mass, respectively. m2 is the mass of the 10 kg mass, and we need to find x2, its position.

Given:

m1 = 8 kg

x1 = 3 m

x_cm = unknown (to be found)

m2 = 10 kg

y_cm = 4.5 m

Since the center of mass is at y = 4.5, we only need to consider the y-coordinate when calculating the center of mass position along the x-axis.

To solve for x2, we can rearrange the formula as follows:

x2 = (x_cm * (m1 + m2) - m1 * x1) / m2

Substituting the given values:

x2 = (x_cm * (8 kg + 10 kg) - 8 kg * 3 m) / 10 kg

Simplifying:

x2 = (x_cm * 18 kg - 24 kg*m) / 10 kg

Now, we can set the y-coordinate of the center of mass equal to 4.5 m and solve for x_cm:

4.5 m = (8 kg * 3 m + 10 kg * x2) / (8 kg + 10 kg)

Simplifying:

4.5 m = (24 kg + 10 kg * x2) / 18 kg

Multiplying both sides by 18 kg:

81 kg*m = 24 kg + 10 kg * x2

Subtracting 24 kg from both sides:

10 kg * x2 = 81 kg*m - 24 kg

Dividing both sides by 10 kg:

x2 = (81 kg*m - 24 kg) / 10 kg

Simplifying:

x2 = 8.1 m - 2.4 m

x2 = 5.7 m

(brainlest?) ples:(

Answer:

the 10 kg mass should be placed at x = -2.4 m to achieve a center of mass at y = 4.5 m.

Explanation:

To find the position along the x-axis where the 10 kg mass should be placed so that the center of mass is located at y = 4.5, we can use the principle of the center of mass.

The center of mass of a system is given by the equation:

x_cm = (m1x1 + m2x2) / (m1 + m2),

where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, and x1 and x2 are the positions along the x-axis.

Given:

m1 = 8 kg,

x1 = 3 m,

m2 = 10 kg,

y_cm = 4.5 m.

To solve for x2, we need to find the x-coordinate of the center of mass (x_cm) by using the y-coordinate:

y_cm = (m1y1 + m2y2) / (m1 + m2),

where y1 and y2 are the positions along the y-axis.

Rearranging the equation and substituting the given values:

4.5 = (83 + 10y2) / (8 + 10).

Simplifying the equation:

4.5 = (24 + 10*y2) / 18.

Multiplying both sides by 18:

81 = 24 + 10*y2.

Rearranging the equation:

10*y2 = 81 - 24,

10*y2 = 57.

Dividing both sides by 10:

y2 = 5.7.

Therefore, the y-coordinate of the 10 kg mass should be 5.7 m.

To find the x-coordinate of the 10 kg mass, we can use the equation for the center of mass:

x_cm = (m1x1 + m2x2) / (m1 + m2).

Substituting the given values:

x_cm = (83 + 10x2) / (8 + 10).

Since the center of mass is at x_cm = 0 (the origin), we can solve for x2:

0 = (83 + 10x2) / (8 + 10).

Rearranging the equation:

83 + 10x2 = 0.

24 + 10*x2 = 0.

10*x2 = -24.

Dividing both sides by 10:

x2 = -2.4.

A person standing on the roof of a building drops a 0.125 Kg ball on the ground. A

child on eight floor saw the ball passing with a speed of 33.1 m/s. The first floor of the building

is 12.0 m high and each successive floor is 8.00 m high. Determine the total numbers of floors

in the building. How fast was the ball falling just before it hit the ground? What was its kinetic

energy just before it hit the ground?

Answers

Answer:

V = a t      velocity after time t

t = 33.1 / 9.80 = 3.38 sec   (time ball had been falling)

S = 1/2 a t^2 = 55.9 m

So the ball had been falling  for 7 * 8 = 56 m  

The child was 7 floors from the top

Since he was on the eight floor the floors below him were

7 * 8 + 12 = 68 m     total floors below child

68 + 56 = 124 m      total height of building

Total floors in building = 7 + 7 + 1 = 15 floors

PE at top = KE at bottom

KE = m g h = .125 * 9.80 * 124 = 152 Joules

can i get some help please

can i get some help please

Answers

Answer:

B. They reproduce

Explanation:

Both arent made up of one cell, and both arent made up of mutliple cells. Only some unicellular and multicellular organisms are infectious.

Answer:

Your answer would be:
B.) They reproduce.

Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism, while multicellular organisms use many different cells to function. Multicellular organisms are composed of more than one cell, with groups of cells differentiating to take on specialized functions.

Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism. Multicellular organisms use many different cells to function.


Unicellular organisms are single-celled.

Multicellular organisms are multi-celled.
However, both reproduce.




Explanation:

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can i get some help please

Is this a balanced equation? 6O2+ C6H12O6---> 6 CO2 + 6H2O

]

Answers

Yes, this equation is balanced.

You can check it using the law of conservation of mass, i.e., the total mass of the products formed must be equal to the total mass of the reactants.

Find the required answer to the following by substituting the numbers. (Bonus points for knowing the units). PLEASE ANSWER

a) Using Fnet = ma, what is Fnet if m = 13.2kg and a = 10ms^-2?

b) Using I = P/V, what is I if V = 15V and P = 75W

Answers

Answer:

a) F=ma

F=13.2×10

F=132

b) I=P/V

I=75/15

I=5

Which psychologist contributed significantly to the humanistic psychology movement

Answers

Carl Rogers, along with Abraham Maslowsignificantly contributed to the humanistic psychology movement through his development of the person-centered approach and his emphasis on the individual's subjective experience and potential for personal growth.

Carl Rogers was a psychologist who played a significant role in the development of humanistic psychology. Alongside Abraham Maslow, Rogers helped establish and promote the humanistic approach to understanding human behavior and experience.Humanistic psychology: Humanistic psychology is a psychological perspective that emphasizes the inherent worth and potential of individuals. It focuses on the subjective experience, self-actualization, personal growth, and the importance of human values.Carl Rogers: Carl Rogers was an influential figure in the humanistic psychology movement. He developed the person-centered approach, also known as client-centered therapy or the Rogerian approach.Person-centered approach: Rogers emphasized the importance of providing a supportive and empathetic environment for individuals to promote their personal growth and self-understanding. He believed that individuals have an innate tendency towards self-actualization, and the role of the therapist is to facilitate this process by providing unconditional positive regard and empathy.Contributions: Rogers made significant contributions to the field of psychology, particularly in the areas of therapy and counseling. His emphasis on the individual's subjective experience and the importance of the therapeutic relationship had a profound impact on the field.Humanistic movement: Alongside Abraham Maslow, Rogers helped establish humanistic psychology as a distinct movement within the field. Their work focused on the holistic understanding of human experience, personal growth, and self-actualization, challenging the dominant perspectives of behaviorism and psychoanalysis.Legacy: Rogers' contributions continue to influence psychology, counseling, and therapy today. The humanistic approach has expanded beyond clinical applications to areas such as education, leadership, and personal development.

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You place a box weighing 242.4 N on an in- clined plane that makes a 37.2° angle with the horizontal. Compute the component of the gravita- tional force acting down the inclined plane. Answer in units of N​

Answers

The unit of N is 238.8

What is unit ?

an individual thing or person regarded as single and complete but which can be a also form the an be  individual component of a larger or more complex the  whole.

Sol-On an inclined plane, component of the weight i.e. gravitational force acting in opposite direction to normal force is mgcos\thetamgcosθ and the component acting down the inclined plane is mgsin\theta.mgsinθ.

It is given that the weight of the block is, mg=  242.N

The angle made with the inclined plane is 37.2°

\Rightarrow mgsin\theta = 242.N N sin 37.2°/^o =238 N⇒mgsinθ=242.N?Nsin42.9

o

=238.8N

Hence, the component of the gravitational force acting down the inclined plane is 238.8 N.

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Consider the system of two blocks shown in Fig. P6.81, but with a different friction force on the 8.00 kg block. The blocks are released from rest. While the two blocks are moving, the tension in the light rope that connects them is 37.0 N. (a) During a 0.800 m downward displacement of the 6.00 kg block, how much work has been done on it by gravity? By the tension T in the rope? Use the work–energy theorem to find the speed of the 6.00 kg block after it has descended 0.800 m. (b) During the 0.800 m displacement of the 6.00 kg block, what is the total work done on the 8.00 kg block? During this motion how much work was done on the 8.00 kg block by the tension T in the cord? By the friction force exerted on the 8.00 kg block? (c) If the work–energy theorem is applied to the two blocks con- sidered together as a composite system, use the theorem to find the net work done on the system during the 0.800 m downward displacement of the 6.00 kg block. How much work was done on the system of two blocks by gravity? By friction? By the tension in the rope?

Answers

a) The speed of the 6.00 kg block after descending 0.800 m is 2.07 m/s.

b) We cannot calculate the work done by the friction force.

c) The net work done on the system of two blocks during the 0.800 m downward displacement of the 6.00 kg block is 29.13 J. The work done by gravity is 47.04 J, the work done by friction is unknown, and the work done by the tension in the rope is zero.

(a) The work done on the 6.00 kg block by gravity can be calculated using the formula:

Work_gravity = force_gravity * displacement * cos(theta),

where force_gravity is the weight of the block, displacement is the downward displacement of the block, and theta is the angle between the force and displacement vectors (which is 0 degrees in this case).

The weight of the block is given by:

force_gravity = mass * acceleration_due_to_gravity = 6.00 kg * 9.8 m/s^2 = 58.8 N.

Plugging in the values, we get:

Work_gravity = 58.8 N * 0.800 m * cos(0) = 47.04 J.

The work done on the 6.00 kg block by the tension in the rope is given by:

Work_tension = tension * displacement * cos(theta).

Plugging in the values, we get:

Work_tension = 37.0 N * 0.800 m * cos(180) = -29.6 J.

The negative sign indicates that the tension is in the opposite direction of the displacement.

Using the work-energy theorem, we can find the speed of the 6.00 kg block after descending 0.800 m:

Work_net = change_in_kinetic_energy.

Since the block starts from rest, its initial kinetic energy is zero. Therefore:

Work_net = Final_kinetic_energy - Initial_kinetic_energy = 1/2 * mass * velocity^2.

Solving for velocity, we get:

velocity = sqrt(2 * Work_net / mass).

The net work done on the block is the sum of the work done by gravity and the tension:

Work_net = Work_gravity + Work_tension = 47.04 J - 29.6 J = 17.44 J.

Plugging in the values, we get:

velocity = sqrt(2 * 17.44 J / 6.00 kg) = 2.07 m/s.

Therefore, the speed of the 6.00 kg block after descending 0.800 m is 2.07 m/s.

(b) The total work done on the 8.00 kg block during the 0.800 m displacement can be calculated using the work-energy theorem:

Work_net = change_in_kinetic_energy.

Since the 8.00 kg block is not moving vertically, its initial and final kinetic energies are zero. Therefore:

Work_net = Final_kinetic_energy - Initial_kinetic_energy = 0.

The work done on the 8.00 kg block by the tension in the rope is given by:

Work_tension = tension * displacement * cos(theta).

Plugging in the values, we get:

Work_tension = 37.0 N * 0.800 m * cos(0) = 29.6 J.

The work done on the 8.00 kg block by the friction force can be calculated using the formula:

Work_friction = force_friction * displacement * cos(theta),

where force_friction is the frictional force on the block. However, the problem statement does not provide the value of the friction force. Therefore, we cannot calculate the work done by the friction force.

(c) The net work done on the system of two blocks during the 0.800 m displacement of the 6.00 kg block can be found using the work-energy theorem:

Work_net = change_in_kinetic_energy.

Since the system starts from rest, the initial kinetic energy of the system is zero. Therefore:

Work_net = Final_kinetic_energy - Initial_kinetic_energy = 1/2 * (6.00 kg + 8.00 kg) * velocity^2.

Simplifying, we get:

Work_net = 1/2 * 14.00 kg * velocity^2.

Using the value of velocity calculated in part (a), we get:

Work_net = 1/2 * 14.00 kg * (2.07 m/s)^2 = 29.13 J.

The work done on the system of two blocks by gravity is the sum of the work done on the individual blocks by gravity:

Work_gravity_system = Work_gravity_6kg + Work_gravity_8kg = 47.04 J + 0 J = 47.04 J.

The work done on the system of two blocks by the tension in the rope is the sum of the work done on the individual blocks by the tension:

Work_tension_system = Work_tension_6kg + Work_tension_8kg = -29.6 J + 29.6 J = 0 J.

Therefore, the net work done on the system of two blocks during the 0.800 m downward displacement of the 6.00 kg block is 29.13 J. The work done by gravity is 47.04 J, the work done by friction is unknown, and the work done by the tension in the rope is zero.

Note: The calculations for part (b) and (c) were based on the given information, but the value of the friction force was not provided in the problem statement.

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Ο Ο Ο Ο

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Answers

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