a slender rod of mass m and length l is released from rest in a horizontal position. what is the rod's angular velocity when it has rotated through 90

Answers

Answer 1

Answer:

M g H / 2 = M g L / 2      initial potential energy of rod

I ω^2 / 2 = 1/3 M L^2 * ω^2 / 2   kinetic energy attained by rod

M g L / 2 = 1/3 M L^2 * ω^2 / 2

g = 3 L ω^2

ω = (g / (3 L))^1/2


Related Questions

Proved that
V = u+at

Answers

Answer:

\(\sf Proof \ below\)

Explanation:

We know that acceleration is change in velocity over time.

\(\sf a=\frac{\triangle v}{t}\)

\(\sf a=\frac{v-u}{t}\)

v is the final velocity and u is the initial velocity.

Solve for v.

Multiply both sides by t.

\(\sf at=v-u\)

Add u to both sides.

\(\sf at + u=v\)

Answer:

Acceleration = v-u/t  when we flip -u and t to right hand side

then -u changes to plus and denominator t changes to numerator

then then  this equations becomes  v=u+at

Explanation:

The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 ft from a light is 2 foot-candles, find the intensity on a screen 20 ft from the light

Answers

The intensity on a screen 20 ft from the light will be 0.125-foot candles.

What is the distance?

Distance is a numerical representation of the length between two objects or locations.

The intensity I of light varies inversely as the square of the distance D from the source;

I∝(1/D²)

The ratio of the intensity of the two cases;

\(\rm \frac{I_1}{I_2} =(\frac{D_2}{D_1} )^2\\\\ \rm \frac{2}{I_2} =(\frac{20}{5} )^2\\\\ \frac{2}{I_2} =4^2 \\\\ I_2= \frac{2}{16} \\\\ I_2= 0.125 \ foot-candles\)

Hence, the intensity on a screen 20 ft from the light will be 0.125 foot-candles

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Negative ions have _____.

Answers

A negaive ion has more electrons bound to it than protons in its nucleus.

A 2-inch piece of two-;layer chocolate cake with frosting provides 1670 kj of energy. Calculate this in calorie.

Answers

The dietary calories in 1670 kilojoules of energy are 399.14 Cal.

Solution:

Now we convert kilojoules to dietary calories

Calories in 1670 kilojoules = \(1670 KJ * \frac{1000J}{1kg} *\frac{1cal}{4.184J} *\frac{1 cal}{1000cal}\)

Calories in 1670 kilojoules  = 399.14 Cal

Hence, the dietary calories in 1670 kilojoules of energy are 399.14 Cal.

Adding filling between layers holds the layers together and adds both flavor and height to the cake. Using 12 icing-filled tipped sachets, pipe frosting just inside the outer edge of the layer. This creates a dam that prevents the filling from seeping out.

A layer cake or sandwich cake is a cake made from several stacked cake sheets bound together with icing or another type of filling such as jam or other jams. Most cake recipes can be adapted for layered cakes. Butter cakes and sponge cakes are common.

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Is question II correct?

Is question II correct?

Answers

Answer:

it most likly right I'm not 100% sure

A 50 kg skater at rest on a frictionless rink throws a 2 kg ball, giving the ball a velocity of 20 m/s. What is the subsequent motion of the skater?

Answers

Answer:

Momentum of ball = mass of ball x velocity of ball

P(ball) = 2 kg x 20 m/s = 40 kg*m/s

Explanation:

According to the law of conservation of momentum, the total momentum of the system (skater and ball) must remain constant before and after the throw.

Let's first calculate the momentum of the ball:

Momentum of ball = mass of ball x velocity of ball

P(ball) = 2 kg x 20 m/s = 40 kg*m/s

Since the skater was at rest before throwing the ball, the initial momentum of the system was 0. Therefore, the final momentum of the system after the throw must also be 40 kg*m/s to conserve momentum.

The momentum of the skater after the throw can be calculated as follows:

P(skater) = P(system) - P(ball)

P(skater) = 40 kgm/s - (2 kg x 20 m/s)

P(skater) = 0 kgm/s

This means that the skater has no momentum after throwing the ball. Since momentum is equal to mass times velocity, the skater's velocity must also be 0. Therefore, the skater remains at rest on the frictionless rink after throwing the ball.

Either coal (C) or gas (G) can be used in the production of steel. The cost (per unit) of coal is 100 , the cost (per unit) of gas is 500 . Draw an isocost curve showing the different combinations of gas and coal that can be purchased (a) with an initial expenditure (TC) of 20000 . (b) if the expenditure (TC) increases by 50%. (c) if the gas price is reduced by 25%. (d) if the coal price rises by 20%. In answering parts (b)-(d), always start from the original isocost equation.

Answers

a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d)  The isocost curve equation is G = (20000 - 120C)/500.

To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.

Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.

(a) Initial expenditure (TC) of 20000:

To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation

TC = 100C + 500G

We can rearrange the equation to solve for G in terms of C

G = (TC - 100C) / 500

Now we can plot the isocost curve with TC = 20000 using the equation above.

(b) Expenditure (TC) increases by 50%

If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.

We can use the same isocost equation as before, but with the new expenditure value:

TC_new = 100C + 500G

Rearranging the equation to solve for G

G = (TC_new - 100C) / 500

Now we can plot the isocost curve with TC_new = 30000.

(c) Gas price reduced by 25%:

If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.

We can use the original isocost equation, but with the new cost per unit value:

TC = 100C + 375G

Rearranging the equation to solve for G

G = (TC - 100C) / 375

Now we can plot the isocost curve with the reduced gas price.

(d) Coal price rises by 20%

If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.

We can use the original isocost equation, but with the new cost per unit value:

TC = 120C + 500G

Rearranging the equation to solve for G:

G = (TC - 120C) / 500

Now we can plot the isocost curve with the increased coal price.

By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.

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Either coal (C) or gas (G) can be used in the production of steel. The cost (per unit) of coal is 100

Fari & Olaya are standing at the top of a hill at the same height. An observer stated that 'Olaya has gained more Gravitational Potential energy than Fari.

How can you justify this statement on the basis of two physical quantities (weight & height) Gravitational Potential energy depends upon?

Answers

Answer:

olaya weighs more than fari

list two animals that migrate to the clearing

Answers

Sea animals and birds

how do i calculate this?

how do i calculate this?

Answers

CAR 1

Momentum = Mass/Velocity

M = 2100/20

M = 105 m/s^2

CAR 2

Momentum = Mass/Velocity

M = 2100/30

M = 70 m/s^2

1. Two balloons are charged with an identical quantity and type of charge: -6.25C. They are held apart at a separation distance of 0.67m. Determine the magnitude of the electrical force of repulsion between them. I​

Answers

Answer:

The electric force between them is 878.9 N

Given:

Identical charge C

Separation between two charges  m

For finding the electrical force,

According to the coulomb's law

Here, force between two balloons are repulsive because both charges are same.

Where    N  Therefore, the electric force between them is 878.

Explanation:

You are planning to test the water quality at a reservoir at
different depths.
Task 1: Explain the planning that you will do
before you leave for Dam. What are the important aspects you must
consider?

Answers

Be sure to adhere to all safety precautions while performing the test, such as wearing protective gear, being cautious of the surroundings, and working in teams.

Ensure that you have obtained the necessary permits and permissions from relevant authorities to test the water at the reservoir. Be sure to adhere to all safety precautions while performing the test, such as wearing protective gear, being cautious of the surroundings, and working in teams.

Before leaving for the dam, planning is essential. It will allow you to test the water quality in a systematic and thorough way. The following are some important aspects that must be considered:

Test Equipment Selection - Choose suitable test equipment to test the water quality at various depths. This equipment must be calibrated, cleaned and checked for accuracy prior to testing. Also, take spare parts or additional equipment just in case something happens.Time and Duration - The testing time and duration should be planned to take into account all factors that may affect the test. This includes the weather, time of day, depth of the water and other environmental factors.

Depending on the location, the test should be done during the same period to ensure consistency.

Transportation - Make sure that the test equipment is safely transported and can be easily moved around the test site. Consider factors like access points, terrain, and the distance from the test site to the base. Make sure you take enough fuel for transportation.

Test Plan - Develop a test plan that outlines the testing procedure, test objectives, testing schedule, and personnel requirements. This plan will be your guide to ensure that the testing is done properly and within a specific time frame.

Record Keeping - During the test, record the data from all the measurements taken. Record-keeping is crucial for future analysis and comparisons. It is also important to have a detailed map of the site to track the exact location of each measurement taken.

Finally, ensure that you have obtained the necessary permits and permissions from relevant authorities to test the water at the reservoir. Be sure to adhere to all safety precautions while performing the test, such as wearing protective gear, being cautious of the surroundings, and working in teams.

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How will a strong material differ from a weaker material?

Answers

The greatest stress that a material can withstand before failing is referred to as its strength. Its stiffness describes how much it will flex or bend when pulled. High strength is frequently found in materials with high stiffness. The greatest stress that a material can withstand before failing is referred to as its strength.

Stress is the force applied to a material's unit area. Strain is the term for a body's reaction to stress. The body can distort under stress. Stress units can be used to quantify the amount of force that a material has experienced.Materials science is the study of the characteristics of solid materials and how a material's structure and composition affect those characteristics.Strain is calculated by dividing the amount of deformation the body experiences in the direction of the applied force by the body's starting dimensions.

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Se debe usar una rampa de 5 m para elevar muebles que pesen 490 N hasta una plataforma a una altura de 2 m. Su propuesta de que la eficiencia de la rampa es del 100%, ¿cuál debe ser la fuerza requerida para levantar cada mueble en la rampa?

Answers

Answer:

F = 180 N

Explanation:

To find the required force you first calculate the angle of the ramp, by using the following relation:

\(sin\theta=\frac{2m}{5m}=0.4\\\\\theta=sin^{-1}(0.4)=23.57\°\)

Next, you use the Newton second law to know what is the x component (in a rotated coordinate system) of the gravitational force:

\(F_x=mgsin\theta\)

the required force must be, at least, the last force Fx. You know that the weight of the object is 490N = mg. Hence, you have:

\(F=F_x=(450N)sin(23.57\°)=180N\)

the required force is 180N

- - - - - - - - - - - - - - - - - - - - - - - -

TRANSLATION:

Para encontrar la fuerza requerida, primero calcule el ángulo de la rampa, utilizando la siguiente relación:

Luego, usa la segunda ley de Newton para saber cuál es el componente x (en un sistema de coordenadas girado) de la fuerza gravitacional:

la fuerza requerida debe ser, al menos, la última fuerza Fx. Sabes que el peso del objeto es 490N = mg. Por lo tanto, tienes:

A 70kg bicyclist (including the bicycle) is pedaling right with a constant speed despite
experiencing a 50N drag. Neglect any friction impeding her motion.
What is the magnitude of the net force on the bicyclist?
How much force is her pedaling generating?

Answers

Answer:There are total four forces acting on the bicyclist namely, gravitational force, normal force, pushing force and air drag.

The magnitude of net force acting on the bicyclist is 165 N.

The required magnitude of force generated for the pedaling is of 225 N.

Given data:

The mass of bicyclist is, m = 75.0 kg.

The magnitude of acceleration is, .

The magnitude of drag force is, F = 60.0 N.

(1)

There are in total 4 forces acting on the bicyclist:

The gravitational force on the bicyclist, acting vertically downward, of magnitude , where m is the mass of the bicyclist and g is the acceleration due to gravityThe normal force exerted by the floor on the bicyclist and the bike, N, vertically upward, and of same magnitude as the gravitational forceThe force of push F", acting horizontally forward, given by the push exerted by the bicyclist on the pedalsThe air drag, F, of magnitude F = 60.0 N, acting horizontally backward, in the direction opposite to the motion of the bicyclist

(2)

The magnitude of net force acting on the bicyclist is given as,

Thus, the magnitude of net force acting on the bicyclist is 165 N.

(3)

We need to find the forward force of push, F'', which is actually the force generated during pedaling.

Then the expression for the forward pushing force F" is given as,

Thus, we can conclude that the force  generated for the pedaling is of 225 N.

Explanation:

The magnitude of the net force on the bicyclist was 0 N.

Her pedaling is generating  a force of  50 N in opposite of the drag force .

What is force?

Force is defined in physics as: the push or pull on an object with mass that causes it to change velocity. Force is an external agent that can change the state of rest or motion of a body. It has a magnitude as well as a direction.

A spring balance can be used to calculate force.

As the bicyclist (including the bicycle) is pedaling right with a constant speed, the magnitude of the net force on the bicyclist was = mass × acceleration

= 70 kg × 0 m/s²

= 0 N.

Again her pedaling is generating  a force = drag force = 50 N in opposite of the  drag force . So that, net force on it becomes zero.

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If an Isotope has a Half-life of minutes. How many Half-life's have occurred after 24 minutes? ​

Answers

Answer:12

Explanation:

If a car can go from 0 to 60 km/h in 8.0 seconds, what would be its final speed after 5.0 seconds if its starting speed were 50 km/h?

Answers

Answer:

This question assumes that the car accelerates at the same rate as when it went from 0 to 60km/h

24.29m/s or 87.4km/h

Explanation:

Let's find the acceleration of the car:

let vi=0, vf=60km/h (16.67m/s), Δt = 8.0s

a = (vf-vi)/Δt

a = (16.67m/s-0)/8.0

a = 2.08m/s^2

Now we can use this acceleration to find vf in the second part:

50km/h is 13.89m/s

a = (vf-vi)Δt

vf = aΔt + vi

vf = 2.08m/s^2*5.0+13.89m/s

vf = 24.29m/s (87.4km/h)

A mover does 422 J of work pushing a crate 8.39 m. How much force did he exert?

Answers

Answer:

50.3N

Explanation:

Work done = force x distance

422J. = force x 8.39m

÷8.39 both side to get force

Force is 50.3N to 1 d.p.

Check:

50.3 x 8.39=422.017J

Same as 422J to 1 d.p

Answer:

heartbroken

Explanation:

just failed my test cause i typed my answers in Caps. Acellus a scam . leave a heart if you feel for me :(  (Answers above were right btw)

A ferrari has a mass of 1485kg.what is it's weight on Earth ​

Answers

F = m · g

m = 1485 kg

g = 10 N/kg

F = 1485 kg · 10 N/kg = 14 850 N = 14,85 kN

Answer: The weight on Earth is 14,85 kN.

(b) If the straight-line distance from her home to the university is 10.3 km in a direction 25.0° south of east, what was her average velocity?

Answers

Answer:

The time taken is missing in the question. The time is 18 minutes.

The answer is 34.3 km/hr

Explanation:

Average velocity is the speed or the velocity which is required to cover a distance in a time interval.

The time taken is = 18 min

                            = 18/60 hours

The distance from the university to her home is = 10.3 km

Therefore, the average velocity is = displacement/time taken

                                                         = 10.3 / (18/60) km/hr

                                                         = 34.3 km/hr

Hence, the average velocity is 34.3 km/hr

When an object absorbs light energy, it reflects
A. all of the colors
B. none of the colors
C. only the colors you see

Answers

i’m pretty sure it’s C

When an object absorbs light energy, it reflects none of the colors. The correct option is B.

What is reflection?

The change in direction of a wavefront at an interface between two different media so that the wavefront returns to the medium from which it originated is referred to as reflection. Reflection of light, sound, and water waves are common examples.

Objects appear different colors because they absorb certain colors (wavelengths) while reflecting or transmitting others. The wavelengths that are reflected or transmitted are what we see as colors.

If photon energy is absorbed, the energy from the photon is typically manifested as heating the matter.

Light absorption causes an object to become dark or opaque to the wavelengths or colors of the incoming wave: Wood is impervious to visible light.

Thus, the correct option is B.

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how many minutes of arc from top to bottom is the angle in the sky covered by the orion nebula fainter extended gas and dust?

Answers

The angle in the sky covered by the Orion Nebula fainter extended gas and dust is approximately 65 arc minutes from top to bottom. This is equivalent to about 1.08 degrees.

The Orion Nebula, also known as Messier 42 or M42, is a diffuse nebula located in the constellation Orion. It is one of the brightest nebulae visible from Earth and is a popular target for amateur astronomers.

The nebula is composed of gas and dust, and is known for its fainter extended gas and dust, which covers an angle of approximately 65 arc minutes from top to bottom. This is equivalent to about 1.08 degrees, or just over one degree. To put this in perspective, the full moon covers about 30 arc minutes, or 0.5 degrees, in the sky. So the angle covered by the Orion Nebula is just over twice the size of the full moon.

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what is polarization​

Answers

division into two sharply contrasting groups or sets of opinions or beliefs.

how does a roller coaster get from beginning to end?

Answers

So it gets pushed or shot out onto the track and then the rails pull it up hills so it can cat momentum, of have that new special thingy where it shoots you forwards like a gun, and then it goes to the end.

This answer probably isn't 100% correct, and I'm sorry for that.

Have a luvely day!

__________ is the most common type of stretching.

Answers

Answer: static stretching

Explanation:

e.g rubberband

Answer:

static stretching

Explanation:

Identify the functions below as belonging to one of these radio transmission devices: oscillator, transmitting antenna, microphone, or modulator.
A. Sends out radio waves having the same frequency as the current supplied by the oscillator.
B. Enables the waves produced by the antenna to “carry” the pattern of the sound waves picked up by the microphone.
C. Converts a direct current into a high-frequency alternating current.
D. Picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.

Answers

The option 1,2,3 and 4 matches with the option B, A, D, and C respectively. Oscillator, transmitting antenna, microphone, or modulator, all are the type of radio transmission devices.

What is radio transmission?

In radio transmission, electromagnetic power from radio transmitter is coupled by transmitter antenna into air/ free space. In radio reception, electromagnetic radio waves are intercepted by receiving antenna and coupled into receiver for detection.

The functions of the following are as below :

1. Oscillator- Enables the waves produced by antenna to “carry” the pattern of the sound waves picked up by microphone.

2. Transmitting antenna- Sends out radio waves having same frequency as current supplied by oscillator.

3. Microphone-Picks up the sound waves and converts them into suitable electric current with same pattern as sound waves.

4. Modulator-Converts direct current into high-frequency alternating current.

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Which of the following would change the frequency of oscillation of this simple pendulum? One, two, three or all four of the choices below may cause this change. (multiple choice)a) increasing the massb) decreasing the initial angular displacementc) increasing the lengthd) hanging the pendulum in an elevator accelerating downward

Answers

All four choices (a, b, c, and d) would affect the frequency of oscillation of a simple pendulum. The frequency of a pendulum's oscillation is determined by the length of the pendulum, the mass of the pendulum bob, and the acceleration due to gravity. Changing any of these factors will change the frequency of oscillation.

Increasing the mass of the pendulum bob will decrease the frequency of oscillation because it increases the force required to move the pendulum back and forth. Similarly, decreasing the initial angular displacement will also decrease the frequency of oscillation because there will be less distance for the pendulum to travel.

Increasing the length of the pendulum will decrease the frequency of oscillation because a longer pendulum takes longer to swing back and forth due to gravity. Hanging the pendulum in an elevator accelerating downward will also change the frequency of oscillation because it changes the acceleration due to gravity acting on the pendulum.

In summary, any change to the mass, length, or acceleration due to gravity acting on a simple pendulum will affect its frequency of oscillation. Hence, a, b, c, and d are the correct options.

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Instructions:Draw a speed graph in the box that matches thefollowing scenario:A runner jogged 40m at a slow pace for 40seconds. She then stopped for 40 seconds to gea drink of water. After that, she sped up and ran60m more in 20 seconds.Tip:y axis - total of 100 mx axis - total of 100 s

Answers

Given data:

1) Runner jogged 40 m at a slow pace for 40 sec.

2) Stopped for 40 sec.

3) Again funs for 60 m in 20 sec.

Instructions:Draw a speed graph in the box that matches thefollowing scenario:A runner jogged 40m at

An electric field of constant magnitude ???? is tangent everywhere to a curved surface of area ????. What is the electric flux through the curved surface?
a) Zero
b) EA
c) –EA
d) 2EA
e) Not enough information

Answers

EA is the electric flux at the surface. because the electric flux is calculated by multiplying the electric field by the surface area it covers.

Because the surface area is known and the electric field intensity is constant, the electric flux can be computed as EA. The strength of an electric field flowing through a particular surface is measured by the electric flux. The strength of the electric field divided by the surface area through which it passes is used to compute it. The electric flux can be determined by by multiplying these two quantities if the surface area is known and the electric field magnitude is constant. Any closed surface surrounding a zero net charge has zero net electric flux. As a result, if we are aware of the net flux over a closed surface, we are also aware of the net charge contained.

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The fastest baseball pitch ever thrown was made by nolan ryan in 1974. The pitch was timed at 45. 0 m/s or 100. 9 miles per hour. Determine the force necessary to impart such momentum to a 0. 145 kg baseball.

Answers

The necessary force to impart momentum to a 0.145 kg baseball is 0.886N

Since, we know very well that Force is defined as change of momentum in per unit time, or in other words

F=dp/dt

where F is the force, dp/dt is the change of momentum with respect to time

We know that momentum= mass × velocity.

Since, we have initial and final velocity of baseball as 45.0m/sec and 100m/sec respectively.

So initial momentum =0.145×45

and final momentum=0.145×100.

Therefore, change of momentum in 9 hours =(0.145×100-0.145×45)/9

=>dp/dt=[0.145×(100-45)]/9

=>dp/dt=(0.145×55)/9

=>dp/dt=7.975/9

=>dp/dt=0.886N

Hence, the necessary force value to impart momentum is 0.886N

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