derive formula of kinetic energy of particular having mass volume and velocity of dimensional analysis​

Answers

Answer 1

Answer:

E=1/2kmv^2

Explanation:

To get the formula...

The dimension of energy is [ M^1 L^2 T^-2]

The dimension of mass [M]=[M^1 L ^0T ^0]

Dimension of velocity[V]=[M ^0 L ^1 T ^−1]

Let [E]=k[M] ^x[V] ^y

K is constant and it remain a dimensionless quantity.

Therefore, M ^1L ^2T ^−2]=k[M ^1L ^0T ^0] x[M ^0L ^1 T ^−1] y

So, x=1,y=2

E= Kmv^2

K=1/2

Therefore E is 1/2kmv^2.


Related Questions

A race car, moving initially with a speed of 15.0 m/s, is capable of accelerating at a rate of 6.0 m/s?. What will be the speed
of this car after accelerating for a time period of 8.00 seconds?
m/s

Answers

Answer:

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Explanation:

[tex]v_{f}=v_{i}+a\cdot t[/tex]

[tex]v_{f}=15\ +\ 6\cdot8[/tex]

[tex]v_{f}=63\ \frac{m}{s}[/tex]

Therefore, the speed of the car is 63m/s after 8 seconds while accelerating at it maximum capability.

How much work is it to lift a 2.0 kg sack of potatoes vertically 6.5 m?

Answers

Answer:

Therefore, the work done to lift a 20 kg sack of potatoes of potatoes vertically 6.5 m is 1, 274 J.

Which of the following BEST describes Jupiter's seasons?
O A.
There are no significant seasonal changes.
B.
The seasons are much like Earth's.
OC.
The seasons are much shorter than Earth's.
OD. The seasons are much longer than Earth's.


Answers

Answer:

Jupiter does not have changing seasons like the Earth, but instead is believed to have a constantly stormy atmosphere. This is partly due to its tilt, which is only 3 degrees. The planet has a very turbulent atmosphere and is believed to have a lot of long-term storms.

So the answer is  A : There are no significant seasonal changes.

Explanation:

How much force would be needed to
push a 22 kg box across the floor with
an acceleration of 1.9 m/s^2? Assume
that there is a coefficient of friction of.
17 between the box and the floor.
Help me with this!!!!!!!it’s due in 10 minutes

Answers

There would be two forces acting on the box parallel to the floor, with a net force of

F = p - f = m a

where p = magnitude of the push, f = mag. of friction, m = mass of the box, and a = acceleration. To find p, we first need f .

There are also only two forces acting on the box perpendicular to the floor, with net force

F = n - w = 0

where n = mag. of normal force of the floor on the box and w = weight of the box. The net force is 0 because the box is only accelerating parallel to the floor.

w = m g, where g = 9.8 m/s² is the mag. of the acceleration due to gravity, so we can solve for n :

n = w = m g

n = (22 kg) (9.8 m/s²)

n = 215.6 N

The kinetic friction is proportional to the normal force by a factor of the given coefficient of friction, µ = 0.17, such that

f = µ n

f = 0.17 (215.6 N)

f = 36.652 N

Now solve for the required pushing force:

p - 36.652 N = (22 kg) (1.9 m/s²)

p ≈ 78 N

Answer:

0

Explanation:

A tourist stands at the top of the Grand Canyon, holding a rock, overlooking the valley
below. Find the final velocity, and displacement of the rock after 4.0 seconds give the three
initial conditions listed below.

Answers

Answer:

a. Vf = 39.24 [m/s]

b. Vf = 31.24 [m/s]

c. Vf = 47.24 [m/s]

Explanation:

To solve this problem we can use the following equation of kinematics. We have to keep in mind that the gravitational acceleration acts downwards, therefore when the rock falls towards the abyss it has the same direction of the acceleration and that is why the gravitational acceleration has a positive sign in the equation.

[tex]v_{f}=v_{o}+g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (when the rock is dropped)

g = gravitational acceleration = 9.81 [m/s²]

t = time = 4 [s]

a.

[tex]v_{f}=0+9.81*4\\v_{f}= 39.24 [m/s][/tex]

b.

In this particular situation, the acceleration will be taken as negative because the gravity is pointing in the opposite direction of the movement of the rock.

[tex]v_{f}=8-(9.81*4)\\v_{f}=-31.24[m/s][/tex]

The negative sign in the answer tells us that the rock no longer moves up instead it does downwards when 4 seconds have passed.

c.

[tex]v_{f}=8+(9.81*4)\\v_{f}=47.24[m/s][/tex]

An 800 kHz radio signal is detected at a point 3.2 km distant from a transmitter tower. The electric field amplitude of the signal at that point is 320 mV/m. Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed. The magnetic field amplitude of the signal at that point, in nT, is closest to:

Answers

Answer:

1.07 nT

Explanation:

We know that E/B = c where E = electric field amplitude = 320 mV/m = 0.32 V/m, B = magnetic field amplitude and c = speed of light = 3 × 10⁸ m/s.

So, B = E/c

Substituting E and c into B, we have

B = E/c

= 0.32 V/m ÷ 3 × 10⁸ m/s

= 0.1067 × 10⁻⁸ T

= 1.067 × 10⁻⁹ T

= 1.067 nT

≅ 1.07 nT

PLEASE HELP ASAP!!!

Bradley is installing fencing on a farm. As he is installing the fencing, he moves 65.0 meters directly south, then turns, and goes 44.0 meters at an angle 25.0° east of south, where he finishes his work shift. What is his final displacement vector at the end of his shift??

a. 107m, 10.1°, east of south

b. 107m, 10.1° south of east

c. 121m, 14.1° south of east

d. 121m, 14.1° east of south

Answers

Answer:

The correct option is;

a. 107 m, 10.1°, east of south

Explanation:

The given question can be answered using vectors as follows;

The initial displacement south by Bradley = 65.0 meters

In vector form, we have

The initial displacement south by Bradley = -65·j

The displacement 25.0° east of south = 44.0 meters

In vector form, we have

The displacement 25.0° east of south = 44 × sin(25°)·i - 44 × cos(25°)·j

In vector, form, we have;

The total displacement = The sum of the vectors of the two displacement

∴ The total displacement = -65·j + 44 × sin(25°)·i - 44 × cos(25°)·j

The total displacement = 44 × sin(25°)·i - (44 × cos(25°) + 65)·j

We use the i and j components to find the magnitude and the direction of the total displacement as follows;

The magnitude of the total displacement = √((44 × sin(25°))² + (44 × cos(25°) + 65)²) = 106.5132881 ≈ 107

The magnitude of the total displacement ≈ 107 m

The direction of the total displacement = arctan((44 × sin(25°))/((44 × cos(25°) + 65)) = 10.0542797419° ≈ 10.1° east of south

the work of warren washington would be most likely to explain which of the following phenomena

Answers

Answer:

t

Explanation:

A gradual shift of the North Magnetic Pole's position on Earth a steady rise in the planet's average temperature, a reduction in the Moon's light reflection.

What is the work of warren Washington?

Dr. Washington and his team were able to recreate the impacts of physics on several components of weather, such as “how heat energy, water vapor, and chemicals travel between Earth's seas and the atmosphere,”

Through the use of climate models. 3 After that, computers projected atmospheric changes using the information from the climate models.

The 2007 Intergovernmental Panel on Climate Change (IPCC) report, which found that human behavior has a direct impact on the environment, used these models to support its findings.

As a result, Dr. Washington and his team were awarded the 2007 Nobel Peace Prize3.

Therefore, a slow change in the location of Earth’s North Magnetic Pole A gradual increase in Earth’s average temperature A decrease in the light reflection of the Moon

Learn more about warren Washington here:

https://brainly.com/question/16562512

#SPJ2

An object of mass m is traveling in a circle with centripetal force f c. If the velocity of the object is v, what is the radius of the circle?

Answers

Answer:

r = mv^2/ Fc

Explanation:

Got it right

Which two elements would most likely form an ionic compound?

a
From the Periodic Table of Elements - #6 carbon and #8 oxygen
b
From the Periodic Table of Elements - #3 lithium and #9 fluorine
c
From the Periodic Table of Elements - #1 hydrogen and #7 nitrogen
d
From the Periodic Table of Elements - #5 boron and #10 neon

Answers

Answer:

boron and neon.

Explanation:

two element compounds are usually ionic when one element is a metal and the other is a non-metal. boron is a metal, whereas neon is a non-metal. i might be wrong but hope it helps.

is anti-nodes and amplitude same

Answers

Explanation:

Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction.

The amplitude of a standing wave doesn't remain the same throughout the wave. It keeps on changing as it is a function of x.

Where the amplitude is minimum is called?

The locations at which the absolute value of the amplitude is minimum are called nodes, and the locations where the absolute value of the amplitude is maximum are called antinodes.

Explanation:

Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction .

intro urself please

If you push an 5 N object 2 m and then push a 10 N object 2 m. Which is TRUE?
You do the same amount of work.
You do more work when you move the 10 N object.
You are more powerful when you move the 5 N object
O You use the same amount of force.

Answers

Answer:

Explanation:

You don't do the same amount of work. The work formula is F*d = W

W = work

F = force

d = the distance moved.

So you do more work when you move the 10N object because the Force (F) has doubled.

What is the MAIN idea of the section "Green Loses Its Power In Fall"?

Answers

B is the main answe becuase Keith mecruty dies in the American war by being shot

1Which of the following components of blood would you expect to see in higher
numbers at a site of infection?
a. Red Blood Cells
b. White Blood Cells
C. Platelets
d. Plasma

Answers

white blood cells(b) :)

An airplane flies at 40 m/s at an altitude of 50 meters. The pilot drops a heavy package which falls to the ground. Where, approximately, does the package land relative to the plane's new position

Answers

Answer:

128 m

Explanation:

From the question given above, the following data were obtained:

Horizontal velocity (u) = 40 m/s

Height (h) = 50 m

Acceleration due to gravity (g) = 9.8 m/s²

Horizontal distance (s) =?

Next, we shall determine the time taken for the package to get to the ground.

This can be obtained as follow:

Height (h) = 50 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

h = ½gt²

50 = ½ × 9.8 × t²

50 = 4.9 × t²

Divide both side by 4.9

t² = 50 / 4.9

t² = 10.2

Take the square root of both side

t = √10.2

t = 3.2 s

Finally, we shall determine where the package lands by calculating the horizontal distance travelled by the package after being dropped from the plane. This can be obtained as follow:

Horizontal velocity (u) = 40 m/s

Time (t) = 3.2 s

Horizontal distance (s) =?

s = ut

s = 40 × 3.2

s = 128 m

Therefore, the package will land at 128 m relative to the plane

Which of the four spheres is this pictures/scene?
A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere

Answers

I believe the correct answer is atmosphere (D).

Answer:

D) atmosphere

Explanation:

but the correct answer is troposhare

an object has a weight on the surface of the earth of 370 N. What is the mass

Answers

Explanation:

The mass of the object is 370N / (9.81N/kg) = 37.7kg.

Which of the four spheres is this pictures/scene?

A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere

Answers

Answer:

I Believe the answer is

[tex]D. \: \: atmosphere[/tex]

Explanation:

I hope how this helps!

Compare the rate of heat transfer by radiation for two objects, the first one has the temperature Ts1= 25 degree Celsius and the second is kept at temperature Ts2 = 40 degree Celsius. Suppose they are made of identical material (e1=e2) and have the same area participating in radiation (Ar1=Ar2). The Surrounding temperature Tr= 25 degree Celsius.

Answers

Answer:

The rate of heat transfer of the second object is greater than the first object.

Explanation:

[tex]\varepsilon[/tex] = Emissivity of the object

[tex]\sigma[/tex] = Stefan-Boltzmann constant = [tex]5.67\times 10^{-8}\ \text{W/m}^2/\text{K}^4[/tex]

[tex]T_1[/tex] = Temperature of surface 1 = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]

[tex]T_2[/tex] = Temperature of surface 2 = [tex]40^{\circ}\text{C}+273.15=313.15\ \text{K}[/tex]

[tex]T_0[/tex] = Surrounding temperature = [tex]25^{\circ}\text{C}+273.15=298.15\ \text{K}[/tex]

Rate of heat transfer is given by

[tex]P_1=\varepsilon \sigma (T_1^4-T_0^4)\\\Rightarrow P_1=\varepsilon \sigma A_1(298.15^4-298.15^4)\\\Rightarrow P_1=0\ \text{W}[/tex]

[tex]P_2=\varepsilon \sigma (T_2^4-T_0^4)\\\Rightarrow P_2=\varepsilon 5.67\times10^{-8} A_2(313.15^4-298.15^4)\\\Rightarrow P_2=\varepsilon A_297.2[/tex]

[tex]\varepsilon A_297.2>0[/tex]

So, [tex]P_2>P_1[/tex]

Hence, the rate of heat transfer of the second object is greater than the first object.

A tourist stands at the top of the Grand Canyon, holding a rock, overlooking the valley below. Find the final velocity and displacement of the rock after 4.0 seconds give the three initial conditions listed below:

a. the rock is dropped vertically from rest
b. the rock is tossed vertically upward with 8.0m/s of speed
c. The rock is tossed vertically downward with 8.0 m/s speed

Answers

Answer:

a. -39.2 m/s; -78.4 m

b. -31.2 m/s; -46.4 m

c. -47.2 m/s; -110.4 m

Explanation:

Part (a)

We are given/can infer these variables:

t = 4.0 sa = -9.8 m/s² v_0 = 0 m/s

We want to find the displacement and the final velocity of the rock.

Δx = ?v = ?

We can use this equation to find the final velocity:

v = v_0 + at

Plug in the known variables into this equation.

v = 0 + (-9.8)(4.0) v = -9.8 * 4.0 v = -39.2 m/s

The final velocity of the rock is -39.2 m/s.

Now we can use this equation to find the displacement of the rock:

Δx = v_0 t + 1/2at²

Plug in the known variables into this equation.

Δx = 0 * 4.0 + 1/2(-9.8)(4.0)² Δx = 1/2(-9.8)(4.0)² Δx = -4.9 * 16 Δx = -78.4 m

The displacement of the rock is -78.4 m.

Part (b)

We are given/can infer these variables:

v_0 = 8.0 m/sa = -9.8 m/s²t = 4.0 s

We can use this equation to find the final velocity:

v = v_0 + at

Plug in the known variables into this equation.

v = 8.0 + (-9.8)(4.0) v = 8.0 + -39.2 v = -31.2 m/s

The final velocity of the rock is -31.2 m/s.

We can use this equation to find the displacement:

Δx = v_0 t + 1/2at²

Plug in known variables:

Δx = 8.0(4.0) + 1/2(-9.8)(4.0)² Δx = 32 - 4.9(16)Δx = -46.4 m

The displacement of the rock is -46.4 m.

Part (c)

We are given/can infer these variables:

v_0 = -8.0 m/sa = -9.8 m/s²t = 4.0 s

We can use this equation to find the final velocity:

v = v_0 + at

Plug in the known variables into this equation.

v = -8.0 + (-9.8)(4.0) v = -8.0 - 39.2 v = -47.2 m/s

The final velocity of the rock is -47.2 m/s.

We can use this equation to find the displacement:

Δx = v_0 t + 1/2at²

Plug in known variables:

Δx = -8.0(4.0) + 1/2(-9.8)(4.0)²Δx = -32 - 4.9(16)Δx = -110.4 m

The displacement of the rock is -110.4 m.

Mr. Davis is riding his bike at a speed of 5 meters per second for 3600 seconds how far did he ride?

Answers

Answer:18,000 meters

Explanation:3600x5=18,000.

what is the avarage speed during kick 1

Answers

is there answers to the problem ?

Explain how the shape of a river's stream bed can affect the river's speed and its power to cause erosion.

Answers

The shape of a river's stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water's motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water's motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.

Answer:

Possiable answer by edge:

The shape of a river’s stream bed affects the speed and eroding power of a river by influencing the amount of friction between the water flowing through the river and the stream bed below. Friction is the force that opposes the motion of one surface as it moves across another surface. In a river, there is friction between the flowing water and the stream bed beneath it. Where a river is deep, less water comes into contact with the stream bed, so there is less friction. The reduced friction means there is less opposition to the water’s motion, so the river flows at a greater speed and has more kinetic energy for erosion. On the other hand, where a river is shallow, more water comes into contact with the stream bed, so there is more friction. The increased friction means there is more opposition to the water’s motion, so the river flows at a lesser speed and has less kinetic energy for erosion. Also, the roughness of a stream bed covered with boulders and other obstacles causes the water to flow through the river in a turbulent fashion. This could cause the river to move slower in some cases or erode more in other cases.

Explanation:

summary of answer:

influencing the amount of friction between the water flowing through the river and the stream bed below.

PLEASE ANSWER ASAP
The thermal energy produced by an electric heater in three minutes is used to melt wax. The
solid wax is initially at its melting point of 60 0C.
The specific latent heat of the wax is 220 J / g. The heater supplies 7700 J of thermal energy to
the wax. Some of the wax melts.
How much wax melts?

Answers

Answer:

m = 35 g = 0.035 kg

Explanation:

The amount of heat required by a specific mass of wax to be melted at its melting point can be given by the following formula:

[tex]Q = mL[/tex]

where,

Q = Heat Supplied by the Heater = 7700 J

m = mass of wax melted = ?

L = Latent Heat of Fusion of Wax = 220 J/g

Therefore,

[tex]7700\ J = m(220\ J/g)\\m = \frac{7700\ J}{220\ J/g}\\\\[/tex]

m = 35 g = 0.035 kg

Dawn and Timothy are sailboating in Lake Obewon. Starting from rest near the shore, they accelerate with a uniform acceleration of 0.39 m/s/s. How far are they from the shore after 18 seconds? *

Answers

Answer:

The value is [tex]s =63.18 \ m[/tex]  

Explanation:

From the question we are told that

   The uniform  acceleration is   [tex]a = 0.39 \ m/s^2[/tex]

   The time considered is [tex]t = 18 \ seconds[/tex]

Generally the from kinematic equation we have that

          [tex]s = ut + \frac{1}{2} at^2[/tex]

Given that the boat started from rest , the initial velocity is  u =  0  m/s  

So

       [tex]s = 0 * 18 + \frac{1}{2} *0.39 * 18^2[/tex]

=>      [tex]s =63.18 \ m[/tex]

HELP ASAP!!!!!!! PLEASE WILL GIVE BRAINLIEST

Name the three major parts of a cell and their functions

Answers

Answer:

Cell Membrane (Plasma Membrane)

Cytoplasm.

Nucleus.

Explanation:

The cytoplasm is home to many activities of the cell as it contains molecules, enzymes that are crucial in the break down of the waste. The cytoplasm also assists in metabolic activities. Cytoplasm provides shape to the cell. It fills up the cells thus enabling the organelles to remain in their position.

The plasma membrane, or the cell membrane, provides protection for a cell. It also provides a fixed environment inside the cell. And that membrane has several different functions. One is to transport nutrients into the cell and also to transport toxic substances out of the cell.

The nucleus controls and regulates the activities of the cell (e.g., growth and metabolism) and carries the genes, structures that contain the hereditary information. Nucleoli are small bodies often seen within the nucleus.

Write the newtons formula for the velocity of sound in air .how did Laplace correct this formula ? ​

Answers

Answer:

1:    v = √E/ρ where E is the elasticity and ρ is the density. Newton's assumed that sound wave travel in air under isothermal condition

2:  He corrected Newton's formula by assuming that, there is no heat exchange takes place as the compression and rarefaction takes place very fast. Thus, the temperature does not remain constant and the propagation of the sound wave in air is an adiabatic process.

What current in a solenoid 15-cm long wound with 100 turns would produce a magnetic field equal to that of the Earth, 5 cross times 10 to the power of negative 5 end exponentT ?

Answers

Answer:

The value is  [tex]I= 0.0597\ A[/tex]  

Explanation:

From the question we are told that

    The length of the solenoid is [tex]l = 15 \ cm = 0.15 \ m[/tex]

     The number of turns is  [tex]N = 100[/tex]

      The  magnetic field of the earth is  [tex]B = 5* 10^{-5} \ T[/tex]

Gnerally magnetic field is mathematically represented as

          [tex]B = \frac{\mu_o * N * I }{ l }[/tex]

=>        [tex]I= \frac{Bl}{ \mu_o *N }[/tex]

=>        [tex]I= \frac{ 5 *10^{-5} * 0.15}{4\pi *10^{-7} *100 }[/tex]  

=>        [tex]I= 0.0597\ A[/tex]  

how can 23.78 x 10 to the power of negative 6 metre cube per mole changed to meter cube?​

Answers

Answer:

We multiply [tex]x = 23.78\times 10^{-6}\,\frac{m^{3}}{mol}[/tex] by the amount of mole to change units to cubic meters.

Explanation:

Let [tex]x = 23.78\times 10^{-6}\,\frac{m^{3}}{mol}[/tex], we change the unit to cubic meters by multiplying this number by the amount of moles of the sample. For instance, let [tex]n = 1\,mol[/tex], then the obtain the following result:

[tex]m = x\cdot n[/tex] (1)

[tex]m = \left(23.78\times 10^{-6}\,\frac{m^{3}}{mol} \right)\cdot (1\,mol)[/tex]

[tex]m = 23.78\times 10^{-6}\,m^{3}[/tex]

2km south is a measure of what

Answers

The answer Is kilometers

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