49. \ A rectangular plate is rotating with a constant angular speed about an axis that passes perpendicularly through one corner, as the drawing shows. The centripetal acceleration measured at corner A is n times as great as that measured at corner B. What is the ratio L1/L2 of the lengths of the sides of the rectangle when n

Answers

Answer 1

Answer:

    [tex]\frac{L_1}{L_2} = \sqrt{(n^2 - 1)}[/tex]

Explanation:

For this interesting problem, we use the definition of centripetal acceleration  

      a = v² / r  

angular and linear velocity are related  

     v = w r  

we substitute  

    a = w² r

the rectangular body rotates at an angular velocity w  

We locate the points, unfortunately the diagram is not shown. In this case we have the axis of rotation in a corner, called O, in one of the adjacent corners we call it A and the opposite corner A  

the distance OB = L₂  

the distance AB = L₁

the sides of the rectangle  

It is indicated that the acceleration in in A and B are related  

      [tex]a_A = n \ a_B[/tex]  

we substitute the value of the acceleration  

    w² r_A = n r_B  

the distance from the each corner is  

    r_B = L₂  

    r_A = [tex]\sqrt{L_1^2 + L_2^2}[/tex]  

we substitute  

   \sqrt{L_1^2 + L_2^2} = n L₂  

    L₁² + L₂² = n² L₂²  

    L₁² = (n²-1) L₂²  


Related Questions

Do Planets with more mass have more gravity than planets with less mass

Answers

Here you go it was too long to type

Which of the following is an example of an electromagnetic wave?

a radio wave

a water wave

the oscillation of a spring

sound waves

Answers

Radio waves is the correct answer

place the compass at one pole of the bar magnet click flip polarity in the menu what happens to the bar magnet and the compass needle​

Answers

Answer:

The two poles of the bar magnet change positions. The compass needle spins a half circle.

Explanation:

Answer:

The two poles of the bar magnet change positions. The compass needle spins a half circle.

Explanation:

edmentum answer

NO LINKS PLEASE

At what speed do a bicycle and its rider, with a combined mass of 90 kg
k
g
, have the same momentum as a 1500 kg
k
g
car traveling at 4.0 m/s
m
/
s
?

Answers

Answer:

2

Explanation:

What should stainless steel be considered when using it?

Answers

Strength, ductility, and toughness are the three top mechanical qualities that should be given importance. Stainless steel comes with 10–30% chromium as its alloying element. It is this element that helps it resist corrosion.

What are the 3 least important cell parts and why

Answers

Answer:

The three main/basic parts of the cell are:

Cell Membrane (Plasma Membrane)

Cytoplasm

Nucleus

Explanation:

Each cell is surrounded by a lipid-rich Cell membrane (also called the Plasma Membrane) that forms a boundary between the cell and its environment.

The membrane encloses the Cytoplasm, which includes all cell contents (except the Nucleus, in cells that have one). Cytosol is the fluid of Cytoplasm.

Nucleus is the central part of an atom, and the process of milk production and secretion begins here; the organelle that contains DNA in eukaryotic cells.

Which one of the statements below is true about mechanical waves?

They must travel in empty space.
They can travel in a vacuum.
Both sound and light are examples of mechanical waves.
They require a medium to travel through.

Answers

Answer:

Both sound and waves

Explanation:

Thank me later

A vector is
In English

Answers

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.

A train has a mass of 100000 kilograms.if its kinetic energy is 3mj what velocity is it travelling at​

Answers

Answer:

V = 7.75 meters per seconds.

Explanation:

Given the following data;

Mass = 100000 Kilograms

Kinetic energy = 3 Megajoules = 3 * 10⁶ Joules

To find the velocity of the train;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the formula, we have;

[tex] 3000000 = \frac{1}{2}*100000*V^{2}[/tex]

Cross-multiplying, we have;

[tex] 6000000 = 100000V^{2}[/tex]

[tex] V^{2} = \frac{6000000}{100000} [/tex]

[tex] V^{2} = 60 [/tex]

Taking the square root of both sides, we have;

[tex] V = \sqrt {60} [/tex]

V = 7.75 m/s

Half Time At 3:00 the hour hand and the minute hand of a clock point in directions that are 90.0
apart. What is the first time after 3:00 that the angle between the two hands has decreased by half to 45.0?

Answers

The first time after 3:00 that the angle between the two hands has decreased by half to 45.0 is 3:08:11.

Angular velocity of the hour hand

The angular velocity of the hour hand for 12 hours time is calculated as follows;

[tex]\omega_h = \frac{2\pi}{12(3600 \ s)}[/tex]

Angular velocity of the minute hand

The angular velocity of the minute hand for 12 hours time is calculated as follows;

[tex]\omega _m = \frac{2\pi}{3600}[/tex]

Difference in the angular velocity

[tex]\Delta \omega = \frac{2\pi }{3600} - \frac{2\pi }{12(3600)} = \frac{11(2\pi)}{12(3600)} = \frac{22\pi}{12 (3600)}[/tex]

First angle between the two hands in radians

[tex]45^0 = \frac{45}{180} \pi= \frac{\pi}{4}[/tex]

Time after 3:00

The time after 3:00 is calculated as follows;

[tex]t =( \frac{\pi}{4}) /\frac{22\pi}{12(3600)} \\\\t = \frac{\pi }{4} \times \frac{12(3600)}{22\pi} \\\\t = 490.91 \ s\\\\t = 8 \min, \ 10.91 \ s[/tex]

[tex]t \approx 8\min, 11 \ s[/tex]

Thus, the first time after 3:00 that the angle between the two hands has decreased by half to 45.0 is 3:08:11.

Learn more time in angular difference here: https://brainly.com/question/7815

In rectilinear motion, motion depends on a?​

Answers

Answer:

The object moving in a straight path is called linear or rectilinear motion.

An object is said to be in rectilinear motion if it changes its position,along a straight line path.

Explanation:

example: A car moving in a straight road.

A jet moving straight in air

Kinetic energy is the energy of motion and increases with the speed of the wave.
a. True
b. False

Potential energy is the energy of gravitational pull on the wave.
a. True
b. False

Answers

Kinetic energy is movement so A
Potential is still so false

Traveling waves propagate with a fixed speed usually denoted as v (but sometimes c). The waves are called __________ if their waveform repeats every time interval T. Traveling waves propagate with a fixed speed usually denoted as (but sometimes ). The waves are called __________ if their waveform repeats every time interval . transverse longitudinal periodic sinusoidal

Answers

Answer:

Periodic.

Explanation:

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.

Basically, as a result of radio waves having long wavelengths, they are mainly used in long-distance communications such as the carriage and transmission of data.

Generally, a fixed speed is used for the propagation of traveling waves and this speed is usually denoted with the variable "v" or sometimes "c."

Furthermore, if the waveform of a traveling wave is repeated every time at specific intervals T, it is referred to as periodic wave.

Mathematically, the period of a traveling wave is given by the formula;

[tex] Period = \frac {1}{T} [/tex]

Where;

T is the time measured in seconds.

MY NOTES A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)

Answers

Answer: What’s the question?
Explanation: everything looks good for this!! I understand now :) I think ❤️ pls give me Brainly!

Earthquakes produce two kinds of seismic
waves: he longitudinal primary waves (called
P waves) and the transverse secondary waves
(called S waves). Both S waves and P waves
travel through Earth's crust and mantle, but
at different speeds; the P waves are always
faster than the S waves, but their exact speeds
depend on depth and location. For the pur-
pose of this exercise, we assume the P wave's
speed to be 8560 m/s while the S waves travel
at a slower speed of 5760 m/s.
If a seismic station detects a Pwave and
then 30.5 s later detects an S wave, how far
away is the earthquake center?
Answer in units of km.
Mi

Answers

Answer:

d

=

s

t

Explanation:

distance = speed * time

here, the distance is from the earthquake centre to the seismic station.

both the P and S waves travel from the earthquake centre before being detected by the seismic station, so the distance is the same for both.

the speeds are given as

8740

m

/

s

for the P wave and

4100

m

/

s

for the S wave.

we also know that the P wave arrives

47.4

seconds before the S wave.

we do not know the time that the P wave takes to travel, but we can denote it as

t

P

.

the time that the S wave takes to travel can be denoted as

t

P

+

47.4

, where time is in seconds.

for the S wave, speed * time is

4100

(

t

P

+

47.4

)

for the P wave, speed * time is

8740

t

P

.

since the distances that they travel are the same, the two expressions for speed * time are equal.

4100

(

t

P

+

47.4

)

=

8740

t

P

if you expand the brackets, you can find that

4100

t

P

+

194340

=

8740

t

P

then you can subtract

4100

t

P

:

4640

t

P

=

194340

and divide by

4640

to find

t

P

, which is the time that P takes to travel:

t

P

=

41.883

...

seconds

since distance = speed * time, the distance that the P wave travels is

t

P

the speed of P.

this is

41.883

s

8740

m

/

s

, which gives

366057.42

m

.

in kilometres, this is

366

k

m

to

3

significant figures.

Which one of the statements below is true about mechanical waves?

They must travel in empty space.
They can travel in a vacuum.
Both sound and light are examples of mechanical waves.
They require a medium to travel through.

Answers

Answer:

They require a medium to travel through.

Explanation:

When an object vibrates it goes back and forth rapidly. How would you
describe this motion?
A: it goes below its starting point and back to its starting point
B: it goes passed its starting point in both directions
C: it will go back and fourth forever
D: it actually looks like spikey waves

Answers

Answer:

B) It appears to be SHM (simple harmonic motion) which is also the projection of an object moving in a circular path on either the x or y axes.

Two identical speakers are set some distance apart in a large open field. Both are producing sound, in unison, with a wavelength of 4 m. An observer wandering around the field notices that the sound is surprisingly loud at certain locations and unusually quiet at others. The observer concludes that this is the effect of interference between the two sources of sound waves. For each location, indicate which sort of interference would occur at that point.

Answers

Answer:

Constructive interference occurs at the surprisingly loud locations and destructive interference occurs at the unusually quiet locations.

Explanation:

This is because, constructive interference tends to combine the effects of the wave when they are in phase (that is, moving in the same direction), which thus amplifies the effect and produces surprisingly loud sounds at those locations, while destructive interference occurs when the waves are out of phase with each other(that is, move in opposite directions) and thus, their effects tend to cancel out thus producing locations of unusually quiet sounds.

What is the angle of refraction for a beam of light moving from a prism to air if the angle of incidence is 30° and the prism’s index of refraction is 1.6?

Answers

Answer:

Refraction involves passing through a boundary (choice a) and changing speed (choice ... A ray of light in air is incident on an air-to-glass boundary at an angle of 30. ... If the index of refraction of the glass is 1.65, what is the angle of the refracted ray ... The critical angle is the angle of incidence (which is always in the more ...

Explanation:

if one stand of DNA reads as AATTCCGGATCG, what would the opposite strand bases be?

Answers

TTAAGGCCTAGC

hope this helps

A form of oxygen with three atoms of
oxygen bonded together instead of two is
called what?
A. triple oxygen
B. ozone
C. oxygen-3
D. trioxygen

Answers

Answer:

ozone, letter b

ozone is basically an allotrope of oxygen having three atoms instead of two.

Which of the following best describes
pollutants?
A. harmful substances in the air, water, or soil
B. radioactive particles that pass through the atmosphere
C. oxygen molecules that are released by plants
D. beneficial substances that increase overall health

Answers

Answer:

A. harmful substances in the air, water, or soil

hope my ans helps

be sure to follow me

stay safe

have a good day

The answer is A as it is more dangerous to the planet.

Which of the following is a good way to look for jobs today?


1.Networking on LinkedIn

2.Checking the bulletin board at the local grocery store

3.Putting a résumé on a job hunting website

4.Searching the help wanted section in the newspaper

Answers

I think it's

1. Networking on LinkedIn

An empty container is filled with helium to a pressure P at a temperature T. Neon, which has atoms that are 5 times more massive than those of helium, is then added to the container until the new pressure in the container is 2P at the same temperature T. The ratio of the average speed of the helium atoms to the average speed of the neon atoms is:_________
a. 25 to 1
b. 5 to 1
c. 5to 1
d. 2to 1 E
e. 1 to 1

Answers

The ratio of the average speed of the helium atoms to the average speed of the neon atoms is 5 to 1 C.

We have that for the Question, it can be said that the ratio of the average speed of the helium atoms to the average speed of the neon atoms is

5:1

Option B

From the question we are told

An empty container is filled with helium to a pressure P at a temperature T. Neon, which has atoms that are 5 times more massive than those of helium, is then added to the container until the new pressure in the container is 2P at the same temperature T. The ratio of the average speed of the helium atoms to the average speed of the neon atoms is:_________

a. 25 to 1

b. 5 to 1

c. 5to 1

d. 2to 1

e. 1 to 1

Generally the equation for the average speed of Molecules  is

mathematically given as

[tex]For Helium\\\\C_h=\frac{8P_hV_h}{\pim_h}\\\\Neon gas\\\\C_n=\frac{8P_nV_n}{\pim_n}\\\\Where\\\\Ph=P_n\\\\Vh=Vn\\\\[/tex]

[tex]\frac{C_h}{C_n}=\frac{\frac{8P_hV_h}{\pim_h}}{\frac{8P_nV_n}{\pim_n}}[/tex]

[tex]\frac{C_h}{C_n}=\sqrt{\frac{\frac{1}{5}}{{\frac{1}{5}}}[/tex]

[tex]\frac{C_h}{C_n}=\sqrt{\frac{5}{1}[/tex]

Therefore

The ratio of the average speed of the helium atoms to the average speed of the neon atoms is

5:1

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https://brainly.com/question/23379286

You serve a basketball with a mass of 5 kg. If the ball leaves your hand at 30 m/s what is
the kinetic energy?
A) 150 joules
B) 2,250 joules
C) 75 joules

Answers

The answer is 150 joules hope this helps

Please solve it.... ​Urgent

Answers

Answer:

a) ferromagnetic type,  b) superconductor or ferromagnetic

Explanation:

In substances, magnetism is the result of the magnetic moments of the electrons in their orbits and of the spin.

These two let us take interacting magnetic between them, if the sum of these magnetic moments is maximum we have a material of the ferromagnetic type, which is represented in figure a, where all the magnetic moments are aligned in one direction and this type of material is a magnet permanent.

Figure b shows a material where the magnetic moments have a circular shape, so the total moment is zero.The type of substrate material can have several possibilities

* The most test is that the substrate material is a superconductor where the marked areas are the superconducting magnetic areas and the areas without spine are the normal areas

* Another possibility is that the material is ferromagnetic, that is, there are several magnetic sub-networks in different orientation, resulting in a random field, the material is not a permanent magnet

A roller coaster works by being hoisted to the top of the highest peak on the track and then released. As the roller coaster car moves along the track the energy gets converted back and forth between kinetic and gravitational potential energy. The entire time the roller coaster car is in motion air friction and friction in the wheels act to oppose the motion of the car. At which point during the ride is the total mechanical energy of the roller coaster car the greatest?

a. At the bottom of the first dip in the track when the car is moving the fastest.
b. When the car is exactly at half its original height half way through the ride.
c. At the top of the highest peak as the very start of the ride.
d. At the end of the ride as the car nears the station.

Answers

Answer:

a. At the bottom of the first dip in the track when the car is moving the fastest.

Explanation:

P.S - The exact question is -

The correct option is - a. At the bottom of the first dip in the track when the car is moving the fastest.

Reason -

From the diagram , we can see that the total mechanical energy of the roller coaster car is greatest At the bottom of the first dip in the track when the car is moving the fastest.

A horizontal force of 300.0 N is used to push a 145-kg mass 30.0 m horizontally in 3.00 s. Calculate the power developed.

Answers

Answer:

3 * 10³J/s

Explanation:

Given :

Force applied, F = 300 N

Distance, d = 30 m

Time, t = 3 seconds

Power, P = Workdone / time

Recall :

Workdone = Force * distance

Workdone = 300 N * 30 m = 9000 Nm

Workdone = 9 * 10³ J

Power = (9 * 10³ J) / 3s

Power = 3 * 10³J/s

As air pressure decreases, what happens
to the density of the atmosphere?
A. increases
B. decreases
C. stays the same
D. not enough information to tell

Answers

Answer:

Increases

Explanation:

This is because if there are more gas particles available within a given area, the greater the air density. Therefore, the greater the air density, there will be more gas particles per unit volume. Which indicate that there are more air particles bombarding with a surface. Therefore, the air pressure increases as the air density increases and visa versa.

Electrons and protons travel from the Sun to the Earth at a typical velocity of 3.83 ✕ 105 m/s in the positive x-direction. Thousands of miles from Earth, they interact with Earth's magnetic field of magnitude 3.04 ✕ 10−8 T in the positive z-direction. Find the magnitude and direction of the magnetic force on a proton. Find the magnitude and direction of the magnetic force on an electron.

Answers

Answer:

[tex]F=2.84*10^{-26}N[/tex]  & -y direction

[tex]F=2.84*10^{-26}N[/tex] & +y direction

Explanation:

From the question we are told that:

Speed of electron [tex]V_e=3.83 * 10^5 m/s[/tex] +x direction

Earths magnetic field [tex]B_e=3.04 * 10^-^8[/tex] +z direction

a)

Generally the equation for magnetic force [tex]F_m[/tex] is mathematically given by

[tex]F=q(V_e*B_e)[/tex]

where

[tex]q=1.6*10^{-19}c\\\=i*\=z=-\=j[/tex]

[tex]F=1.6*10^{-19}(3.83 * 10^5 m/s*3.04 * 10^-^8)[/tex]

[tex]F=1.6*10^{-19}(3.83 * 10^5 m/s*3.04 * 10^-^8)[/tex]

[tex]F=-2.84*10^{-26}N \=j[/tex]

Magnitude & Direction

[tex]F=2.84*10^{-26}N[/tex]  -y direction

b)

Generally the equation for magnitude and direction of the magnetic force on an electron. is mathematically given by

[tex]\=F'=-1.6*10^{-19}(3.83 * 10^5 m/s*3.04 * 10^-^8)[/tex]

[tex]\=F'=-2.84*10^{-26}N \=j[/tex]

Magnitude & Direction

[tex]F=2.84*10^{-26}N[/tex] & +y direction

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