In an engine governor, the two spheres (total mass of 1.0kg) are at 0.05m and rotating at 37rad/s If the engine increases the angular velocity to 58rad/s what is the new location of the spheres?

Answers

Answer 1
Answer:

Here we can say that there is no external torque on this system

So here we can say that angular momentum is conserved

so here we will have

I_1\omega_1 = I_2\omega_2

now we have

I_1 = mr^2

I_1 = (1kg)(0.05^2)

I_1 = 25* 10^(-4) kg m^2

similarly let the final distance is "r"

so now we have

I_2 = mr^2

I_2 = 1r^2

now from above equation we have

(25* 10^(-4))37 = (r^2)(58)

r = 0.04 m

so final distance is 0.04 m between them


Related Questions

Are the objects described here in static equilibrium, dynamic equilibrium, or not in equilibrium at all? a. A girder is lifted at constant speed by a crane. b. A girder is lowered by a crane. It is slowing down. c. You're straining to hold a 200 lb barbell over your head. d. A jet plane has reached its cruising speed and altitude. e. A rock is falling into the Grand Canyon. f. A box in the back of a truck doesn't slide as the truck stops.
What is reflection? Reflection is light that has struck a surface and has __________. . gained energy. been transmitted. bounced off . been absorbed
12. Which of the following accurately describes semiconductor diodes? A. Point-contact diodes are more likely to be used as rectifiers than junction diodes. B. Unlike junction diodes, point-contact diodes are enclosed in a suitable casing and have terminals for connecting them to a circuit. C. Unlike point-contact diodes, junction diodes utilize a point of metal wire in contact with a single wafer of P-type or N-type material. D. Junction diodes are preferred over point-contact diodes for most purposes.
what are some sources of error that could explain differences between your prediction and what you measured experimentally for sound speed
a moving company is called into a building and asked to relocate 520 bricks to a location 15 meters above the ground if each brick is 4 kilograms what amount of work will be needed to accomplish the task

An 8-N force is applied to a 2-kg box to accelerate it to the right across a table. The boxencounters a force of friction of 5 N. What is the acceleration of the object?
(1 Point)
4 m/s2
2.5 m/s2
1.5 m/s2
1 m/s2

Answers

Answer:

1.5

Explanation:

resultant force=8-5=3N

using f=ma

a=f/m

=3/2

=1.5

Using the periodic table and your knowledge of atomic structure. cobalt (Co) and nickel (Ni) have almost identical atomic mass numbers. Comparing nickel and cobalt from the periodic table, which statement best describes the atoms?A. Nickel has one more neutron.


B. Both atoms will have the same number of protons.


C. Both atoms will have the same number of neutrons.


D. Cobalt has one less proton.

Answers

Answer:

Cobalt has one less proton.

Explanation:

Nickel and Cobalt both has almost same atomic mass number approximately 59 but has different atomic number.

Number of proton and electrons in an atom is given by,

Number of proton = Number of electron = atomic number of an atom.

Number of neutron in an atom is given by,

Number of neutrons = Atomic mass number - atomic number

Case 1: Cobalt

Atomic mass number = 59

Atomic number = 27

Number of proton and electrons in Nickel is given by,

Number of proton = Number of electron = atomic number of an atom.

Number of proton = 27

Number of proton = 27

Number of neutron in an atom is given by,

Number of neutrons = Atomic mass number - atomic number

Number of neutrons = 59 - 27

Number of neutrons = 32

Case 2: Nickel

Atomic mass number = 59

Atomic number = 28

Number of proton and electrons in Nickel is given by,

Number of proton = Number of electron = atomic number of an atom.

Number of proton = 28

Number of neutron in an atom is given by,

Number of neutrons = Atomic mass number - atomic number

Number of neutrons = 59 - 28

Number of neutrons = 31

Cobalt has one less proton.

Thus, Option D is correct.

Answer: The correct answer is option D.

Explanation:

Cobalt and Nickel both are transition metals which means that their last electron enter d-orbitals.

These two elements have similar atomic masses but differ in the atomic number.

Atomic number is equal to the number of protons or electrons present in that element.

Atomic number = number of protons =  number of electrons

Atomic Mass is the sum of protons and neutrons in an element

Atomic mass = Number of protons + Number of neutrons

  • For Cobalt:

Atomic Number = 27

Number of protons = 27

Atomic mass = 59

Number of neutrons = 59 - 27 = 32

Hence, Number of protons in this element is 27 and number of neutrons are 32.

  • For Nickel:

Atomic Number = 28

Number of protons = 28

Atomic mass = 59

Number of neutrons = 59 - 28 = 31

Hence, Number of protons in this element is 28 and number of neutrons are 31.

  • From the above information, it is visible that cobalt has one less proton that the nickel.

Hence, the correct answer is option D.

suppose that a particle at rest with mass m decays into a photon and another particle with mass m/2 , which recoilds in a direction opposite to the photon. Using the conservation of energy and momentum find the momentum of the recoiling particle

Answers

Answer:

p_r=(h)/(\lambda)

Explanation:

To find the momentum of the recoiling particle you can use the momentum formula for a photon:

p=(h)/(\lambda)

before the decay the momentum is zero. Hence, after the decay the momentum of the photon plus the momentum of the recoiling particle must be zero:

p_a=p_b\n\n(h)/(\lambda)-(m)/(2)v=0\n\np_r=(m)/(2)v=(h)/(\lambda)

where pr is the momentum of the recoiling particle.

If a train is 100 km away, how much sooner would you hear the train coming by listening to the rails (iron) as opposed to listening for it standing by the track? In other words, how much faster will the sound travel through the iron rails than through the air? Assume the air temperature is 0°C.Sound will reach you ______ seconds sooner.

302

324

280

Answers


Wellll . . . it's doubtful that you'd hear the sound of a train
from 100 km away (about 62 miles), but this is a fun problem
so let's go through it just for the math.

Online, I looked up the speed of sound in various materials.
Here's what I found:

-- Speed of sound in normal air . . . . .  343 m/s

-- Speed of sound in iron . . . . . 5,130 m/s 

But let's go a little farther !
Rails used to be made of cast iron or wrought iron. 
But now they're made of hot rolled steel.

-- Speed of sound in steel . . . . . 6,100 m/s

     Time to cover the distance = (distance) / (speed)

         Time through air  =  (100,000 m) / (343 m/s)

                                       =  291.5 sec  =  4 minutes 51.5 seconds

 Time through old iron rails  =  (100,000 m) / (5,130 m/s)

                                               =   19.5 seconds    (272 sec sooner)

 Time through new steel rails = (100,000 m) / (6,100 m/s)

                                                 =   16.4 seconds   (275 sec sooner)

Final answer:

The speed of sound varies in different mediums. In Physics, the speed of sound in air at 0°C is about 331.5 m/s, while in iron it's about 5130 m/s. If a train is 100 km away, the sound travelling through the iron rails would reach you approximately 282 seconds sooner than the sound through the air.

Explanation:

In Physics, the speed at which sound travels depends on the medium through which it's travelling. The speed of sound in air at 0°C is approximately 331.5 m/s. On the other hand, the speed of sound in iron is about 5130 m/s.

To determine how much sooner you would hear the train, we need to calculate the difference in time it takes for the sound to travel through these two mediums.

When the train is 100 km away, we get the following:

  1. Time through air: 100000 m / 331.5 m/s = 301.66 seconds
  2. Time through iron: 100000 m / 5130 m/s = 19.49 seconds

The difference is, therefore, approximately: 301.66 - 19.49 = 282.17 seconds. Thus, the sound will reach you 282 seconds sooner if you listen to the rails rather than the air.

Learn more about Speed of Sound here:

brainly.com/question/35989321

#SPJ12

A large bottle contains a number of medicinal tablets each having a mass of 250mg. The mass of all the tablets is 1 kg. Calculate the number of tablets in the bottle.

Answers

Considering the rule of three, the number of tablets in the bottle is 4.

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: x=(cxb)/(a)

The direct rule of three is the rule applied in this case as follow:  if 250 mg = 0.250 g is the mass of 1 medicinal tablet, 1 kg = 1000 g is the mass of how many medicinal tablets?

0.250 grams ⇒ 1 medicinal tablet

1000 grams ⇒ x

Then:

x=(1000 gramsx1 medicinal tablet)/(0.250 grams)

x= 4 medicinal tablets

Finally, the number of tablets in the bottle is 4.

Learn more:

Given parameters:

Mass of each tablet  = 250mg   = 0.25g

Mass of all tablets in the bottle = 1kg  = 1000g

Unknown:

Number tablets in the bottle = ?

Solution:

The number of tablets in the bottle;

    Number of tablets  = (mass of all tablets in the bottle)/(mass of each tablet)

                     Mass is the amount of matter that makes up a substance

Number of tablets  = (1000g)/( 250 x 10^(-3) )   = 4000 tablets

Scientific knowledge changes when which of the following occurs?A. When knew evidence that challenges old ideas is presented.
B. When scientist decide to change their theories and ideas in response to societal pressure.
C. Scientific knowledge does not change. Once and idea or theory is established it is permanent.

Answers

A. When new evidence that challenges old ideas is presented.

Think about the other choices, they do not make any sense. You cannot change your ideas just because people want something to be a certain way. And you have to change your idea if you're proven wrong.

Answer:

b

Explanation:it is correct