The 4-kg slender rod rests on a smooth floor. If it is kicked so as to receive a horizontal impulse I = 8 N•s at point A as shown, determine its angular velocity and the speed of its mass center. .75 m 60 I = 8 N:s

Answers

Answer 1

the angular velocity of the rod after the impulse is 0.25 rad/s and the speed of the mass center is 0.31 m/s.

Assuming that the slender rod is uniform, we can use conservation of angular momentum to find the final angular velocity of the rod. The initial angular momentum is zero, since the rod is at rest, So we have:

Iωf × L = Iωi × L + I

where I is the moment of inertia of the rod about its center of mass, L is the length of the rod, and ωi and ωf are the initial and final angular velocities, respectively. Solving for ωf, we get:

ωf = (Iωi + I)/(IL) = (2ωi + 1/2)/(2)

Plugging in the given values, we get:

ωf = (2(0) + 1/2)/(2) = 0.25 rad/s

So we have:

(1/2)mv^2 = (1/2)Iωf^2 + (1/2)mvcm^2

where m is the mass of the rod and vcm is the speed of the center of mass. The moment of inertia about the center of mass for a slender rod is (1/12)ml^2, so we have:

(1/2)(4 kg)v^2 = (1/2)(1/12)(4 kg)(0.75 m)^2(0.25 rad/s)^2 + (1/2)(4 kg)vcm^2

Solving for vcm, we get:

vcm = sqrt[(4/3)(0.75 m)^2(0.25 rad/s)^2 + (1/2)v^2] = 0.31 m/s

Therefore, the angular velocity of the rod after the impulse is 0.25 rad/s and the speed of the mass center is 0.31 m/s.

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Related Questions

Explain in detail how clouds form.

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Answer:

Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.

What does attributed mean

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Answer:

attribute is defined as a quality or characteristic of a person, place, or thing

Explanation:

Answer:

regard something as being caused by (someone or something).

Explanation:

Online dictionary

A crate is sliding on the floor. If there is a total force acting on the crate in the same direction as it is sliding, the crate would
A) slow down
B) speed up
C) remains the same speed
​​​​​​​ D) slow down, change direction and then speed up going the other way,
E) remains the same speed but changes direction

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But we do not know whether the force is pushing or pulling (the same direction (both forces are parallel) but: .........[ ]<-F-- or .......[ ]--F-->). I suppose the correct answer is B

emergency plsss is copper stronger than bricks or that's all the way the opposite pls write ur answer clearly n' I will give 15 points and mark brainliest who answers first so hurry up

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copper is stronger than bricks!

A student swings a 5.0 Kg pail of water in a vertical circle of radius 1.3m. What is the minimum speed at the top of the circle if the water is not to spill from pail.

Answers

Answer:

v = 3.57 m / s

Explanation:

Let's use Newton's second law in the upper part of the circle, with the minimum speed so that the water does not rest on the circle, that is, the normal is zero

          W = m a

   

acceleration is centripetal

          a = v² / r

let's substitute

         mg = m v² / r

         v = [tex]\sqrt{r g }[/tex]

let's calculate

        v = [tex]\sqrt{1.3 \ 9.8}[/tex]ra 1.3 9.8

        v = 3.57 m / s

A car drives 40 km due east and then 50 km due west .what is the cars overall displacement?

Answers

Answer:10 km westExplanation:he go 40 east then 50 west 50-40 is 10 so he displaces 10 km and as west is more than east in terms of km so we will say that it's 10 km west pls mark as brainliest thanks

The car's overall displacement if, A car drives 40 km due east and then 50 km due west is 10 km in the west.

What is displacement?

Displacement is defined as the overall alteration of an object's location and motion direction. Displacement is recognized as a vector quantity since it takes into account both the direction of the motion and the magnitude of the changing position. Displacement may be zero, positive, or negative.

Given:

A car drives 40 km due east and then 50 km due west,

Consider the west direction as positive and the east direction as negative, then,

The displacement = Displacement in the west + displacement in the east,

The displacement = 50 - 40

The displacement = 10

As the sign is positive, then the direction would be west.

Thus, the displacement of the car is +10 km.

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b) Include this table on your slide:
Mass of Object 1 Mass of Object 2 (kg)
(kg)
Gravitational Force
(N)
1 x 1020
1 x 1020
1 x 1040 G
3 x 1020
1 x 1020
3 x 100 G
2 x 1020
2 x 1020
4 x 10"G
20
3 x 1020
4 x 10
12 x 10 G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them. Be sure to:
Describe the scenario.
Explain the table headings to introduce the data in the table.
Use the data to show a trend.
Summarize the information from the table in a sentence, showing the relationship between
the masses of objects and the gravitational force between the objects.
d) Place text in the notes section below the slide explaining the information presented on it. This text
will act as the script for your presentation.
e) Remember to save your work.

Answers

Answer:

hryrbrhrururjrn djbrr he dvhd the ry rhr

urur

Explanation:

jrurhr dye dhrb the yd rhd due sh dgd eye rh

Answer:

I dont know i was looking for the same answer for my project

Explanation:

An object completes 2500 cycles in
26s. The radius of motion is 3.5m.

Answers

Answer:

That statement is correct.

Explanation:

An object that completes 2500 cycles in 26 seconds has a radius of motion of 3.5.

4.) The diagram to the right is the orbit of a comet:
A) Label the two focal points
B) Label the Perihelion
C) Label the Aphelion

Answers

Answer: This is what I found hope it helps

Explanation:

A 615 watt refrigerator runs 24 hours/day. How much energy is used per month (30 days)?

Answers

Answer:

14.76

Explanation:

If you put it in the calculator it would show

Un automóvil viajó 186.4 Km a una velocidad constante de 57 Km/h. ¿Cuánto tiempo se necesitó para el viaje?

Answers

Answer:

  t = 1.177 10⁴ s

Explanation:

For this exercise we use the uniform motion relationships

         v = x / t

         t = x / v

let's reduce the magnitudes to the SI system

          v = 57 km / h (1000m / 1km) (1h / 3600s) = 15.833 m / s

          x = 186.4 km (1000m / 1 km) = 186.4 10³ m

let's calculate

         t = 186.4 10³ / 15.833

         t = 11.77 10³ s

         t = 1.177 10⁴ s

20.Two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined

Answers

Answer:

A

Explanation:

Given that two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined

The formula for kinetic energy is :

K.E = 1/2mv^2

A 2-kg ball moving at 4m/s will have kinetic energy of 1/2 × 2 × 4^2

K.E = 16J

and a 4-kg ball moving at 2m/s will have kinetic energy of 1/2 × 4 × 2^2

K.E = 2 × 4

K.E = 8J

which one has greater kinetic energy? Definitely it is a 2 kg ball moving at 4 m/s. Since 16J is greater than 8J. The correct answer is A.

The energy which we obtained from the moving particle is called kinetic energy.  According to the conservation of energy, the energy can neither be created nor be destroyed.

Hence, the formula used in the question is:- [tex]K.E =\frac{1}{2} mv^{2}[/tex] .

A 2-kg ball moving at 4m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 2*4^{2} = 16J[/tex]  

Therefore, the kinetic energy of the ball moving the 2kg is 16J.

A 4-kg ball moving at 2m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 4*2^{2} = 8J[/tex]

Hence the Kinetic energy of the ball moving the 4 kg is 8J.

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if the charge of the force is doubled would the force double

Answers

Answer: The electrostatic force between two point charge particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. So, if you double the individual charges while keeping the same distance, the net electrostatic force will be four times the previous value.

Explanation:

Since, we know

F = (k×q1×q2)/r²

When the charges are doubled, we have :

F' = (k × 2q1 × 2q2)/r²

F' = 4 (k×q1×q2)/r²

Thus,

F' = 4F

Hence, the force becomes 4 times its initial value.

Which element has the same number of valence electrons as rubidium.
A. lithium
B. argon
C. calcium
D.iron

Answers

To know if elements have the same number of valence electrons you can look at what group they are in on the periodic table. Rubidium (Rb) is in group one which means it will have the same number on valence electrons as Lithium (Li) because Lithium is also in group one on the periodic table. I hope this helps!!

Identify the phase and division I or II for the following:
Metaphase II
Metaphase I
Telophase II
Cytokinesis

Answers

Answer:

Metaphase II

Explanation:

Metaphase II is the division of two daughter cells and is when sister chromatids line up in the middle of the cell.  This is what appears to be happening in the image.  Additionally, you can see that the chromosomes have already crossed over.  

Metaphase I only involves 1 cell, not 2 daughter cells.

Telophase II and Cytokinesis are when the cell splits.  Also, Telophase II would result in 4 daughter cells, not just 2.  

An 18kg block moving at 6 m/s has kinetic energy of

Answers

½ × 18 × 6² = 324 J

hope that helps^^

Which option correctly matches the chemical formula of a compound with its name?​

Answers

Answer:

d

Explanation:

the correct chemical formula of a compound with its name is NO₂, Nitrogen Dioxide, the correct option is D.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom

The correct chemical formula for nitrogen Dioxide is NO₂

Learn more about a chemical compound

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Why do we have two colors of arrows on the map?​

Answers

Answer:

To differentiate the two concepts each colour represents (perhaps)

Explanation:

Where is the map?

Answer:

such as green representing forested land and blue representing waterways.

What is linear expansivity?​will receive brainliest if answered correctly​

Answers

Answer:

Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. If a specimen increases in length from l1 to l2 when its temperature is raised θ°, then the expansivity (α) is given by: l2 = l1(1 + αθ). This relationship assumes that α is independent of temperature. This is not, in general, the case and a more accurate relationship is: l2 = l1(1 + aθ + bθ2 + cθ3…), where a, b, and c are constants.

l2 = l1(1 + αθ).

l2 = l1(1 + aθ + bθ2 + cθ3…),

Answer:

Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. ... Superficial expansivity is the fractional increase in area of a solid surface caused by unit rise in temperature, i.e. A2 = A1(1 + βθ), where β is the superficial expansivity.

I hope it's helpful!

A 98N weight is lifted to a height of 4m. What is its potential energy at this position?

Answers

Answer:

i need points

Explanation:

ordinary kriging method assume that​

Answers

ears

Explanation:

I want to eat your ears

Will the gravitational force between 2 objects increase or decrease if the distance between them decreases.

Answers

Answer:

increase

Explanation:

The formula for the gravitation for of attraction is:

[tex]F = \dfrac{Gm_1m_2}{r^2}[/tex]

It implies that the force of attraction is inversely proportional to the square of the distance. i.e.

[tex]F \infty \dfrac{1}{r^2}[/tex]

where;

G = gravitational constant

m = mass; &

r = distance between the two objects.

Now let's assume that the distance between is reduced from 1 to half;

Then:

[tex]F \infty \dfrac{1}{\Big (\dfrac{r}{2} \Big)^2}[/tex]

[tex]F \infty \dfrac{4}{r^2}[/tex]

Thus, the new gravitational force of attraction increased by a factor of 4.

A vehicle of mass 3200kg moving with a velocity of 10m/s increases it's velocity to 20m/s in 5 sec. calculate the magnitude of the force exerted on the engine​

Answers

Answer:

xitxutdtidtiittieitetdtdt

Answer:

Please find the attached file

Explanation:

10 POINTS and WILL MARK AS A Brainlest PLEASE

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Answer:

240 cm/sec

Explanation:

The speed line is closest to 240sec at 60cm.

Hope this helps! :)

240 cen/ sec :)))))

Where do you weight more on top of Mt. Everest (Highest Mt. in the world) or at the beach

They are the same

Mt Everest

The beach

Not enough information

Answers

You weigh slightly more at the beach than on top of a mountain, because at the beach, you're closer to the center of the Earth.

Can anyone help in physics plz

Answers

Answer:

The answer is B. 8000.

Explanation:

She gained 10,000J , but when she reached the bottom she was at 2,000J. All you need to do is 10,000-2,000 and you get 8,000. So the answer is 8,000J.

A rubber stopper, which has a mass of m = 14.5 grams, is tied to the end of a string which is threaded through a glass tube. You then spin the rubber stopper about your head in a horizontal circle as shown to the right. The stopper sags  = 18.0o below the horizontal as shown and the distance from the top of the tube to the stopper is L = 1.25 m.
b. What will be the magnitude of the centripetal force acting on the stopper?
c. What is the speed of the stopper?
d. What is the tension in the string?
e. How much Mass M is hanging on the end of the string?

Answers

Answer:

T cos18=mv^2/1.25cos18

T sin18=mg

solve for T

centripetal force-=Tcos18

Anyone knows this ???

Answers

Answer:

JUST A MINUTE KAPENG MAINIT

Which model would best demonstrate the role of gravity in the Solar System? O A. a large ball with 8 smaller balls arranged around it because gravity is between the sun and 8 planets O B. a magnet drawn close to another magnet because planets are dbvn towards the magnetism of the Sun O c. a football field with a pea at one end and a grain of sand at the other because the scale of gravity is large O D. a ball attached to a string moving in a circular motion because the string keeps the ball in place like gravity​

Answers

Option D would be the correct answer

what is biodiversity​

Answers

Answer:

Biodiversity is the variety and variability of life on Earth. Biodiversity is typically a measure of variation at the genetic, species, and ecosystem level. Terrestrial biodiversity is usually greater near the equator, which is the result of the warm climate and high primary productivity.

Explanation:

hope it helped <3

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