A thin uniform-density rod whose mass is 3.0 kg and whose length is 2.6 m rotates around an axis perpendicular to the rod, with angular speed 37 radians/s. Its center moves with a speed of 13 m/s. (a) What is its rotational kinetic energy

Answers

Answer 1

Answer:

rotational kinetic energy is 1156.81 J

Explanation:

Given the data in the question;

first we find the moment of inertia of the rod as axis passes through the middle or center;

[tex]I = \frac{1}{12}ml^2[/tex]

where m is the mass of the road( 3.0 kg)

[tex]l[/tex] is the length of the rod ( 2.6 m )

so we substitute

[tex]I = \frac{1}{12}[/tex] × 3 × (2.6)²

[tex]I[/tex] =   1.69 kg.m²

now, to calculate the rotational kinetic energy,

kinetic energy due to rotation is;

KE[tex]_R[/tex] = [tex]\frac{1}{2}Iw^2[/tex]

where [tex]I[/tex] is moment of inertia( 1.69 kg.m² ),

w is angular frequency ( 37 radians/s )

we substitute

KE[tex]_R[/tex] = [tex]\frac{1}{2}[/tex] × 1.69 × ( 37 radians/s )²

KE[tex]_R[/tex] = 1156.81 J

Therefore, rotational kinetic energy is 1156.81 J

Answer 2

The rotational kinetic energy will be 1156.81 J. It is half of the product of the moment of inertia and angular speed.

What is rotational kinetic energy?

The rotational kinetic energy is the kinetic energy generated by an object's rotation and It is a component of its overall kinetic energy.

The given data in the problem is;

m is the mass = 3.0 kg

l is the length = 2.6 m

[tex]\rm \omega[/tex] is the angular speed = 37 radians/s

v is the speed = 13 m/s

[tex]\rm E_k[/tex] is the  rotational kinetic energy=?

The momentum of inertia is found by;

[tex]\rm I = \frac{1}{12} ml^2 \\\\ \rm I = \frac{1}{12} \times 3 \times (2.6)^2 \\\\\ \rm I = 1.69 \kg.m^2[/tex]

The rotational kinetic energy is found by;

[tex]\rm E_k= \frac{1}{2}I (\omega)^2 \\\\ \rm E_k= \frac{1}{2}\times 1.69 (37)^2 \\\\ \rm E_k=1156.81 \ J[/tex]

Hence the rotational kinetic energy will be 1156.81 J.

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Related Questions

Which of the following involves an endothermic reaction

Answers

Answer:

A

Explanation:

Photosynthesis requires energy to drive the chemical reaction. Photosynthesis is an endothermic reaction. This means it cannot occur without energy (from the Sun).

HELP ASAP GIVING 5 PTS AND BRAINLIEST
Which of the following is an example of a constructive force that helps to shape Earth's land?

A. When two plates in the Earth's lithosphere collide and cause the land to rise up into a mountain

B. When glaciers break pieces of a mountain away as they slide downward

C. When erosion, due to rain, wind, snow, and ice, wears away a mountain top​

Answers

The answer is C I believe

It is A, sure of that

It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 100m above a raging river and attach a 35-m-long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 43N/m . Assume that your mass is 79kg . After a long hesitation, you dive off the bridge. How far are you above the water when the cord reaches its maximum elongation? h=

Answers

Answer:

h = 47 m

Explanation:

First, we will calculate the force on the cord due to the weight:

[tex]Force = F = Weight\\F = mg\\F = (79\ kg)(9.81\ m/s^2)\\F = 775\ N[/tex]

Now, we will calculate the elongation by using Hooke's Law:

[tex]F = k \Delta x[/tex]

where,

k = spring constant = 43 N/m

Δx = elongation = ?

Therefore,

[tex]775\ N = (43\ N/m)\Delta x\\\\\Delta x = \frac{775\ N}{43\ N/m}\\\\\Delta x = 18\ m\\[/tex]

So, the final length of the cord will be:

[tex]Final\ Length = Initial\ Length + \Delta x\\Final\ Length = 35\ m + 18\ m\\Final\ Length = 53\ m\\[/tex]

Hence, the height from water (h) can be found using the following formula:

[tex]h = Height\ of\ Bridge - Final\ Length\ of\ cord\\h = 100\ m - 53\ m\\[/tex]

h = 47 m

I need help plissss..............

Answers

Answer: A.
Have a good day!!!!

What happens after the president gives the budget to Congress?

Answers

Answer: The president submits a budget to Congress by the first Monday in February every year. The budget contains estimates of federal government income and spending for the upcoming fiscal year and also recommends funding levels for the federal government.

Explanation:

Answer: The president submits a budget to Congress by the first Monday in February every year. The budget contains estimates of federal government income and spending for the upcoming fiscal year and also recommends funding levels for the federal government.

Your welcome!! :)

The work-energy theorem states that the work done on an object is equal to a change in which quantity?

kinetic energy
displacement
potential energy
mass

Answers

The work-energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.

Answer:

a kinetic energy

Explanation:

Which planet is least like earth? Mars,Venus, or Jupiter

Answers

Answer:

mars, reason why is because they both are diff from the size

Explanation:

Jupiter is least like Earth. Planets like Venus, and Mars are mostly rocky and are more or less similar in interbal composition. Jupiter is large, gaseous, and hydrogen-rich.

An amateur blacksmith wants to cool off a 42kg glowing piece of iron, specific heat 470and decides to toss it into a 5.0 kg iron bucket with 10.0 kg of room temperature(23 C) water in it. To his surprise the water completely evaporates away (meaning once it vaporizes it is no longer part of the system) and after some time he goes to pick up the bucket but finds that the bucket is at 150 C.

Required:
What was the initial temperature of the glowing piece of iron?

Answers

Answer:

The right approach is "1479°C".

Explanation:

The given values are:

Mass of iron piece,

[tex]m_p=42 \ kg[/tex]

Mass of iron bucket,

[tex]m_I=5 \ kg[/tex]

Mass of water,

[tex]m_w=10 \ kg[/tex]

Iron's specific heat,

[tex]C_I=470 \ J/Kg^{\circ}C[/tex]

Water's specific heat,

[tex]C_w=4186 \ J/Kg^{\circ}C[/tex]

Initial temperature,

[tex]t_I=23^{\circ}C[/tex]

Final equilibrium temperature,

[tex]T=150^{\circ}C[/tex]

Latent heat,

[tex]L_v=2260\times 10^3 \ J/Kg[/tex]

As we know,

The heat lost by the glowing piece of iron will be equal to the heat gain by the iron bucket as well as water, then

⇒ [tex]m_IC_I \Delta T=m_wC_w(100-23)+m_wL_v+m_bC_I(150-23)[/tex]

On substituting the given values, we get

⇒ [tex]42\times 420\times \Delta T=10\times 4186(100-23)+10(2260\times 10^3)+5\times 420(150-23)[/tex]

⇒ [tex]17640 \Delta T=3.22\times 10^6+2.26\times 10^7+2.667\times 10^5[/tex]

⇒          [tex]\Delta T=\frac{2.60867\times 10^7}{17640}[/tex]

⇒          [tex]\Delta T=1479^{\circ}C[/tex]

Which of the following represents a concave lens?
A. -di
B. +di
C. -f
D. +f

Answers

Answer:

The answer is option D. +f

Option D represents a concave lens. There are two types of lenses, one is a concave lens while the other is the convex lens.

What is the definition of a concave lens?

A concave lens deviates a direct beam from the source into a reduced form.  At minimum, one interior face of concave lenses is curved.

Because it is curved round inwards at the center and bulges outwards through the edges, causing the light to diverge, a concave lens is also known as a diverging lens.

It forms an upright , virtual picture both real and virtual pictures are formed from the concave lens.

The image formed from the positive side of the focus of the lens.+f shows the positive side of the focus of the lens.f is the focal length.

Hence, option D represents a concave lens

To learn more about the concave lens, refer to the link;

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A thermionic tube with only a cathode and an anode is called?​

Answers

A vacuum tube consists of cathode (also called as filament), anode (also called as plate), and electrode (also called as grid). Cathode is an electron emitter that emits the free electrons whereas anode is an electron collector that collects the free electrons.
I hope this helps.
The correct answer is diode.


which ocean is between North
America and Europe?


A. Pacific Ocean
B. Atlantic Ocean
C. Indian Ocean
D. Southern Ocean

Answers

Answer:

B. Atlantic Ocean

Explanation:

When a skydiver is 1200 meters in the air they open the parachute. They are moving
cown for 400 seconds before landing. What is the skydiver's average velocity?
48 m/s down
48 m/s up
3 m/s up
3 m/s down

Answers

Answer:

3m/s up

Explanation:

a potted plant falls from a window sill and is gaining speed. which one of the following statements is true of the plant?

a) its kinetic energy is constant
b) its kinetic energy is increasing
c) its kinetic energy is decreasing​

Answers

Since the plant is falling, the gravitational energy decreases, so it means b) kinetic energy is increasing.

Hope this helps!! :)

Archimedes' Principle states that a. the velocity of a fluid is directly proportional to the pressure exerted on the fluid. b. the pressure of a fluid is inversely proportional to the temperature of the fluid. c. the pressure in a fluid is directly related to the depth below the surface of the fluid. d. an object immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.

Answers

Answer:

d. an object immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.

Can someone please help me with this !!!!

Answers

Answer:

I'm not sure but I think it's 4.5 v

A bus is moving at a speed of 150km/hr. Begins to slow at a constant rate of 3.0m/s each second. Find how far it goes before stopping

Answers

Answer:

Distance = 13.9 meters

Explanation:

Given the following data;

Maximum speed = 150 km/hr to meters per seconds = 150 * 1000/3600 = 41.67 m/s

Decelerating speed = 3m/s

To find the distance travelled with this speed;

Distance = maximum speed/decelerating speed

Distance = 41.67/3

Distance = 13.9 meters

Therefore, the bus would travel a distance of 13.9 meters before stopping.

The chemical energy in your food is
transformed into what type of energy in
your moving muscles?
A. Light
B. Mechanical
C. Sound
D. Electromagnetic

Answers

Answer:

Electromanetic

Explanation:ESPERO TE AYUDE

to measure the static friction coefficient between a block and a vertical wall, a spring is attached to the block, is pushed on the end in a direction perpendicular to the wall until the block does not slip downward. If the spring is compressed, what is the coefficient of static friction

Answers

Answer:

μ = mg/kx

Explanation:

Since the bock does not slip, the frictional force equals the weight of the block. So, F = mg. Now, the frictional force, F = μN where μ = coefficient of static friction and N = Normal force.

Now, the normal force equals the spring force F' = kx where k = spring constant and x = compression of spring.

N = F' = kx

So, F = μN = μkx

μkx = mg

So, μ = mg/kx

The diagram below shows the beaks of five species of birds that developed over time from
one parent species. The five species of birds can be found living in the different areas. Which
of the following BEST explains why the beak shape of each species of bird developed
differently? * 5
(1 Point)
A. Birds in different areas were able to make different birdcalls and songs.
O
B. Birds in different areas were exposed to different food sources.
C. Birds in different areas had different materials to make nests.
o o
D. Birds in different areas had different predators to defend or hide from.

Answers

Answer:

Birds in different areas were exposed to different food sources.

Explanation:Im almost 100 percent this is it.

Answer:

the answer is B

Explanation:

i did test on preformance

the radius of earth is about 6.38 x10^3 km. A 7.20 x10^3 N spacecraft travels away from earth. What is the weight of the spacecraft at the following distances from Earth's surface? a) 6.38 x 10^3 km

Answers

Answer:

[tex]1796.65\ \text{N}[/tex]

Explanation:

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

w = Weight of spracecraft at the surface = [tex]7.2\times10^3\ \text{N}[/tex]

m = Mass of spracecraft

R = Radius of Earth = [tex]6.38\times10^3\ \text{km}[/tex]

h = Elevation = [tex]6.38\times10^3\ \text{km}[/tex]

G = Gravitational constant = [tex]6.674\times 10^{-11}\ \text{Nm}^2/\text{kg}^2[/tex]

M = Mass of Earth = [tex]5.972\times 10^{24}\ \text{kg}[/tex]

[tex]w=mg\\\Rightarrow m=\dfrac{w}{g}\\\Rightarrow m=\dfrac{7.2\times 10^3}{9.81}\\\Rightarrow m=733.94\ \text{kg}[/tex]

From the gravitational law we have

[tex]w'=\dfrac{GMm}{(r+h)^2}\\\Rightarrow w'=\dfrac{6.674\times10^{-11}\times 5.972\times 10^{24}\times 733.94}{(6.38\times10^6+6.38\times10^6)^2}\\\Rightarrow w'=1796.65\ \text{N}[/tex]

The weight of the spacecraft at the given height is [tex]1796.65\ \text{N}[/tex]

A bowl of ice cream is sitting on a table.
Which is NOT conduction?
A. The sunlight streaming through the window melts the
ice cream.
B. The bowl is cold because of the ice cream.
C. The table is cold because of the cold bowl.

Answers

Answer: The bowl is cold because of the ice cream

Explanation:

Mrs. Archer spent her Saturday running a bunch of errands. She started out by
traveling 2 km east, then 5 km south, 12 km east, 2 km south then 40 km west, 60
km north. Calculate her displacement on the Y AXIS.

Answers

Answer:

Velocity = displacement/time whereas speed is distance/time. use the formula

Explanation:

According to the law of reflection, the angle of incidence is equal to the angle of
refraction
reflection
deflection
absorption

Answers

Answer:

Reflection

the angle of incidence is equal to angle of reflection

According to the law of reflection, the angle of incidence is equal to the angle of reflection. Hence option B is correct.

What is Reflection ?

Reflection is the change of direction of the wave at the interface which separates two media. it get incident on the other media and get return to the same media is called as reflection. Common examples include the reflection of light, sound and water waves.

we can see that in the dark room when we incident light on the mirror, the direction of the light changes at the point of the incidence. in the scientific language we can say that light has reflected from the surface of the mirror. in this case  angle of incidence is always equal to angle of reflection.

Any mirror bounce back the incident light. therefore it is used to see our face. it reflects almost all the light to same medium from which light has been incident.

Hence option B is correct.

To know more about reflection :

https://brainly.com/question/30270479

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A potter's wheel is a uniform disk of mass 4.50 kg and radius 0.650 m and can spin freely around a vertical axis through its center. With the wheel spinning at an angular speed of 4.70 rad/s, a small piece of clay of mass 0.870 kg is dropped at the outer edge of the wheel and sticks to it. Find the final angular speed of the wheel clay. Treat the piece of clay as a point particle. Group of answer choices

Answers

Answer:

3.39 rad / s.

Explanation:

Given data:

mass of disk = 4.50 Kg

radius of wheel = 0.650 m

mass of the clay = 0.870 kg

The moment of inertial of the wheel = I = 4.5 kg x ( 0.65 m )2 / 2 = 0.95 kg . m2.

Now, applying the principle of angular momentum conservation :

Iω_i = ( I + mr2 )ω_f.

where ω_i = initial angular speed= 4.70 rad/s, ω_f = final angular speed

Hence, ω_f = Iω_i / ( I + mr2 )

= ( 0.95 kg . m2 x 4.7 rad / s ) / [ 0.95 kg . m2 + 0.87 kg x ( 0.65 m )2 ]

= 3.39 rad / s.

Hence, correct answer is  : 3.39 rad / s.

Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is |v with arrow| = 230 km/s and the orbital period of each is 15.5 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 1030 kg.)

Answers

Answer:

[tex]1.554\times 10^{32}\ \text{kg}[/tex]

Explanation:

M = Mass of each star

T = Time period = 15.5 days

v = Orbital velocity = 230 km/s

G = Gravitational constant = [tex]6.674\times 10^{-11}\ \text{Nm}^2/\text{kg}^2[/tex]

Radius of orbit is given by

[tex]R=\dfrac{vT}{2\pi}[/tex]

We have the relation

[tex]\dfrac{Mv^2}{R}=\dfrac{GM^2}{(2R)^2}\\\Rightarrow M=\dfrac{4Rv^2}{G}\\\Rightarrow M=\dfrac{4\dfrac{vT}{2\pi}v^2}{G}\\\Rightarrow M=\dfrac{2v^3T}{\pi G}\\\Rightarrow M=\dfrac{2\times 230000^3\times 15.5\times 24\times 60\times 60}{\pi\times 6.674\times 10^{-11}}\\\Rightarrow M=1.554\times 10^{32}\ \text{kg}[/tex]

The mass of each star is [tex]1.554\times 10^{32}\ \text{kg}[/tex]

HELP ITS DUE IN 4 MINUTES

Answers

Answer:

the nephew

Explanation:

because we need to First find the trails that is on top of all the others in order to find who was the last to leave, since the person that was last to leave would most likely step on another person's trail that has been theirs before them.

by looking at this picture I noticed that the butler's footprint was the latest one but the dogs footprint steps over it therefore making it the last to leave, and the person who owns a dog is her nephew so therefore the nephew is the one that stole the butterfly trophy.

When a helicopter flies, what
type of energy is it using?
A. Thermal energy
B. Mechanical energy
C. Electromagnetic energy

Answers

Answer: B. Mechanical energy

Explanation: "Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy (energy of motion) or potential energy (stored energy of position)."

"Potential and kinetic energy of an object as it is stored and moved. Examples of MECHANICAL ENERGY- roller coasters, hydraulic lift, bow and arrow, and helicopters. Helicopters, cars, roller coasters, all moving objects that are being acted on by a force."

Incorrect options: A. Thermal energy and B. Electromagnetic energy. (explanation on both below)

"Thermal energy (also called heat energy) is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other. The energy that comes from the temperature of the heated substance is called thermal energy."

"Electromagnetic radiation, in classical physics, the flow of energy at the universal speed of light through free space or through a material medium in the form of the electric and magnetic fields that make up electromagnetic waves such as radio waves, visible light, and gamma rays."


Answer: B Mechanical energy

What do we call the part of the wave labeled with the letter
D in the image below?
B
MONO
A. Compression
B. Rarefaction
D. Wave speed
C. Frequency

Answers

Answer:

C. Frequency..............

A yo-yo is twirled in a horizontal circle on a 2 meter long string at 4 m/s. Calculate the speed of the yo-yo if it has the same rotational speed but only 0.5 meters long.

Answers

6 espero que esto te ayude

Calculate the average maximum height for all three trials when the mass of the bottle is 0.125 kg, 0.250 kg,
0.375 kg, and 0.500 kg.

Record your calculations in Table A of your Student Guide.

When the mass of the bottle is 0.125 kg, the average maximum height of the beanbag is
m.

When the mass of the bottle is 0.250 kg, the average maximum height of the beanbag is
m.

When the mass of the bottle is 0.375 kg, the average maximum height of the beanbag is
m.

When the mass of the bottle is 0.500 kg, the average maximum height of the beanbag is
m.

Answers

Answer:

10

Explanation:

i dont know this is right answer

0.35

0.91

1.26

1.57

Explanation:

I did it on ed2020 and got it correct

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