A ball with a mass of 0.5 kg is attached to one end of a light rod that is 0.5 m long. The other end of the rod is loosely pinned at a frictionless pivot. The rod is raised until it is vertical, with the ball above the pivot. The rod is released and the ball moves in a vertical circle. The tension in the rod as the ball moves through the bottom of the circle is closest to:

Answers

Answer 1

Answer:

The tension in the rod as the ball moves through the bottom circle is 9.8 N

Explanation:

When the ball is released from rest, the centripetal force equals the weight of the ball. So mv²/r = mg where m = mass of ball = 0.5 kg, v = speed of ball, r = radius of vertical circle = length of rod = 0.5 m and g = acceleration due to gravity = 9.8 m/s²

v = √gr = √9.8 m/s² × 0.5 m = √4.9 = 2.21 m/s

Now at the bottom of the circle T - mg = mv²/r where T = tension in the rod

T = m(g + v²/r)

= m(g + (√gr)²/r)

= m(g+ gr/r)

= m(g + g)

= 2mg

= 2 × 0.5 kg × 9.8 m/s²

= 9.8 N

So, the tension in the rod as the ball moves through the bottom circle is 9.8 N


Related Questions

identify properties of a human body system

Answers

Answer:

integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive

Explanation:

and this is biology not physics

Pesure is defined
the force
over a
given
area.​

Answers

Answer:yes absolutely

Explanation:

Answer:

pressure is a force acting on a unit area and its SI unit is pascals (Pa)

to find pressure: Force/Area

Explanation:

define one standard kg ​

Answers

Answer:

The mass of platinum iridium rod whose diameter and height are equal an kept at international bureau of weight and measurement in Paris of France is called as one standard kg.

An observer measures a 100 Hz Doppler shift as an ambulance goes by. At rest, the frequency of the ambulance's siren is 2,000 Hz. What is the speed of the ambulance?

Answers

Answer:

8.6 m/s

Explanation:

The observer is stationary

The source is moving

Let v₀ be the speed of sound in the air

Let v be the speed of the ambulance

As the siren approaches

f₁ = 2000(v₀ / (v₀ - v))

As the siren departs

f₁' = 2000(v₀ / (v₀ + v))

                                                                         f₁ - f₁' = 100  

                     2000(v₀ / (v₀ - v)) - 2000(v₀ / (v₀ + v)) = 100

                                           v₀ / (v₀ - v) -  v₀ / (v₀ + v) = 100/2000

v₀(v₀ + v) / (v₀ - v)(v₀ + v) -  v₀(v₀ - v) / (v₀ - v)(v₀ + v) = 0.05

                              (v₀² + vv₀) -  (v₀² - vv₀) / (v₀² - v²) = 0.05

                                                          2vv₀ / (v₀² - v²) = 0.05

                                                                         2vv₀  = 0.05 (v₀² - v²)

                                           0.05v² + 2vv₀ - 0.05v₀² =  0

                                                         v² + 40vv₀ - v₀² = 0

quadratic formula positive answer

v = (-40v₀ + √((40v₀)² - 4(1)(v₀²))) / 2

v = (-40v₀ + √(1604v₀²)) / 2

v = (0.049968v₀) / 2

v = 0.02498439v₀

If we assume the speed of sound in air is 343 m/s

v = 8.56964... = 8.6  m/s

Approaching frequency heard is 2051 Hz

Departing frequency heard is 1951 Hz

Atoms of the same element will always have the same number of Question Blank but will have different numbers of Question Blank if their mass numbers are different.

Answers

Answer:

proton and neutron respectively.

Explanation:

Atoms of the same element will always have the same number of proton but will have different numbers of neutron if their mass numbers are different.

Imagine you re in an entrepreneur and have been provided a loan by a bank to set up a small electro plating unit. What would you like to electorate and for what purpose?

Answers

Answer:

Electroplating involves deposition of a thin layer of metal onto the surface of a substance(compound) through electric current. This helps preserve the substance(compound) from rust and oxidative damage.

As an entrepreneur which has been provided a loan by a bank to set up a small electro plating unit. I would venture into electroplating electronic/electric appliances parts.This is because these types of appliances are in vogue now and used my millions of people for their day to day activities. This means that more people will come for various degrees of production and repairs which would include electroplating . This translates to more customers and more money for the repayment of the loan.

describe three way of nitrogen fixation in nature ?

Answers

Explanation:

nitrogen fixation is the process by which nitrogen gas form the atmosphere is converted into different compound that can be used by plants and animal. there are three major ways in which this happens: first, by lightning, second by industrial methods and finally by bacteria living in the soil.

n this activity, you will answer questions based on these two scenarios. Scenario 1 It’s the week before final exams, and Alicia is looking forward to graduation. However, she knows the week will be stressful. In addition to studying hard for her exams, her manager at work called and asked her to work an additional 15 hours. Her softball coach scheduled double practices to prepare for state finals. Her aunt has asked her to babysit her niece a few hours each night. On top of all this, she wants to spend some much-needed quality time with her friends. Alicia wishes there were 86 hours in a day instead of 24. Scenario 2 A small nation's economy depends on oil. The country’s earnings have declined greatly because of a recent drop in oil prices. The government uses these earnings to provide free education to all citizens under the age of 25. The country also uses its earnings to provide free health care and to provide benefits for retirees. The government also uses part of its earnings to help a neighboring country recover from a natural disaster. The president of the country imagines how much he could help his citizens if there weren’t any budget restrictions. Part A What do Alicia and the president have in common?

Answers

Answer: Alicia and the president do not have enough of a particular resource. Alicia doesn’t have enough time, and the president doesn’t have enough money.

Explanation: This is Plato's sample answer.

in what condition does a body float​

Answers

Answer:

if buoyant force is equal is equal to the weight of body then our body float. if density of our body is less than density of liqiud then our body float in water.

How do FITT principles help you on your sports related activity

Answers

Answer:

F.I.T.T. stands for frequency, intensity, time and type. These four key aspects of your workout program will help you achieve your athletic goal, whether it's to increase your endurance, strength or speed. Here is an in-depth look at what each means and how to modify it to make athletic gains on the field...

10.Un móvil recorre 26 m en el tercer segundo de su movimiento. Determinar la velocidad inicial del móvil, si su aceleración es de 8 m/s. AYUDA POR FAVOR

Answers

Answer:  La velocidad inicial es 6m/s

Explanation:

Primero escribamos las ecuaciones de movimiento:

Sabemos que la aceleración es 8m/s^2.

a(t) = 8m/s^2.

Para obtener la velocidad, tenemos que integrar sobre el tiempo:

v(t) = (8m/s^2)*t + v0

donde v0 es la velocidad inicial.

Para la posición volvemos a integrar sobre el tiempo, y tenemos:

p(t) = (1/2)*(8m/s^2)*t^2 + v0*t + p0 = (4m/s^2)*t^2 + v0*t + p0  

Donde p0 es la posición inicial.

Nosotros sabemos que en el tercer segundo, el móvil recorre 26m

Esto significa que:

p(3s) - p(2s) = 26m = (4m/s^2)(3s^2 - 2s^2) + v0(3s - 2s) + p0 - p0

26m = (4m/s^2)*5s^2 + v0*1s

De aquí podemos despejar el valor de v0:

26m  = 20m + v0*1s

6m = v0*1s

v0 = 6m/s

The diagram below shows a high school pool with a length of 50 m. A member of swim team swims
five lengths of the pool: from X to Yfrom Y to X, from X to Y again, from Y to X again, and lastly
from X to Y, ending at point Y. Which of the following correctly states the distance and displacement
of the swimmer?
50 m
a. Distance 250 m, displacement 0 m
6. Distance 250 m, displacement 50 m
c. Distance 0 m, displacement 250 m
d. Distance 50 m, displacement 250 m

Answers

Explanation:

Distance 250m, displacement 50m

do you think distance and time are relevant terms in describing motion?

Answers

Answer:

yes

Explanation:

because motion is relevant

Answer:

Motion is mathematically defined as displacement, distance, velocity, acceleration, speed, and time. The motion of a body is recognized by adding a frame of reference to an observer and measuring the change in position of the body related to that frame with the change in time.

A car covers a distace of 20km in 20 seconds. Calculate its speed in km/h m/s.​

Answers

Answer:

speed = 3600 kilometers per hour

= 3600 km/h

speed = 1000 meters per second

= 1000 m/s

Answer From Gauth Math

A 0.35 m2 coil with 50 turns rotates at 5 radians per sec2 in a magnetic field of 0.6 Tesla. What is the value of the rms current in the coil if the coil has the resistance of 3.3 Ω?

Answers

Answer:

11.25 amps

Explanation:

For transformers, the magnetic flux

[tex]\Phi _{max} = \beta \times A[/tex]

Therefore;

[tex]\Phi _{max} = 0.6 \times 0.35 = 0.21 \ Weber[/tex]

Ф = Фmax (cosωt) = 0.21·(cos(5·t))

From Faraday's law of induction, we have;

ε = -N × dΦ/dt

Which gives;

dΦ/dt = -1.05(sin (5t) )

ε = -N × dΦ/dt = -50× -1.05(sin (5t) )

ε = 52.5(sin (5t) )

I = ε/R = 52.5(sin (5t) )/3.3 = 15.9091(sin (5t) ) amps

The peak current is therefore = 15.9091 amps

The rms current = Peak current /√2 = 15.9091/(√2) = 11.25 amps.

In a simple machine the energy input is 120J if the efficiency of the machine is 80% calculate the energy output

Answers

Answer:

24J

Explanation:

The energy output will be the 20% it lost in efficiency:

120-80% = 24J

pls help me asap with this​

Answers

Answer:

a) cos30=adj/hyp

cos30= horizontal force/10

horizontal force= 8.66 N

rest of a is in the picture.

b) i believe you can continue.

A high-voltage powerline operates at 500000 V-rms and carries an rms current of 500 A. If the resistance of the cable is 0.050Ω/km, what is the resistive power loss in 200 km of the powerline?

Answers

Answer:

2,500,000W or 2.5MW

Explanation:

The power lost due to resistance is given by I^2R. We must first obtain R as follows;

Resistance per kilometer= 0.050Ω/km

Distance covered= 200km

R = 200km x 0.050Ω/km = 10Ω

The lost power as a 500A current passes through the powerline is:

P = I²R

P= 500² x 10

P= 2,500,000 W or 2.5MW

The resistive power loss in 200 km of the powerline is of 2.5 MW.

Given data:

The root mean square voltage is, V' = 500000 V.

The magnitude of current through the power line is, I =500 A.

The magnitude of resistance of cable is, R = 0.050 Ω/km.

The length of powerline is, L = 200 km.

Whenever there is a flow of current through the wire, then there are various losses out of which the power loss is a major factor. The mathematical expression for the power loss is given as

P = I²R

Solving as,

P= 500² x 10

P= 2,500,000 W or 2.5MW

Thus, we can conclude that the resistive power loss in 200 km of the powerline is of 2.5 MW.

Learn more about the resistive power loss here:

https://brainly.com/question/15158529

Using examples, explain why the first and second Newton laws of motion are significant for living organisms.

Answers

Answer:

1) Newton's first law of motion states an object will remain at rest or in uniform will be in uniform motion in a straight line unless a force acts on it

2) Newton's second law states the acceleration of an object is directly proportional to the applied force acting on an object and inversely proportional to the mass of the object

Explanation:

1) With Newton's first law, we are able arrange things within a space and schedule meetings in time knowing that they will remain in place unless an external force changes their positions

2) An example of Newton's second law of motion is that small objects such as a ball are easily accelerated and can be given appreciable acceleration for flight by single, one time contact (such as kicking the ball) while larger objects such as a rock require sustained force application to change their location.

Find the amount of force required to move an object of 1200 kg at a velocity of 54 km/hr?​​

Answers

Answer:

0 Newtons

Explanation:

The velocity of the object does not change, it is a constant 54 km/hr. When velocity does not change, acceleration is zero. Using the formula Force = mass x acceleration, we find:

mass = 1200 kg

acceleration = 0

F  = (1200)(0) = 0

This is the question

Answers

Explanation:

a) The displacement is the area under the curve.

Δx = ½ (10 s) (20 m/s) + (20 s) (20 m/s) + ½ (10 s) (20 m/s)

Δx = 600 m

b) The car is accelerating when the velocity is changing.  This happens between t = 0 and t = 10, and between t = 30 and t = 40.

c) Average speed = displacement / time

v_avg = 600 m / 40 s

v_avg = 15 m/s

Will mark as BRAINLIEST.....
A balloon is ascending at the rate of 4.9 m/s. A packet is dropped from from the balloon when situated at a height of 100m.
How long does it take the packet to reach the ground ?
What is it's final velocity ?

Answers

Answer:

Explanation:

Initially the packet was ascending up with the balloon.

Taking upward as positive direction;

initial velocity, u = 4.9 m/s

final velocity = v m/s

initial height, h₁ = 100 m  

final height, h₂ = 0

a = -9.8 m/s²

time taken = t seconds

Considering the second equation of motion.

S = ut + 1/2at^2

s = ut + 0.5at²

(h₂-h₁) = ut + 0.5at²

0- 100 = 4.9t + 0.5×(-9.8)×t²

-100 = 4.9t - 4.9t²

4.9t² -4.9t -  100 =0

t² -t - 20.41 = 0

Using : b±√(b²-4ac))/(2a)....  1

Where a =1, b = -1 c =-20.408

Substituting the values into equation 1

Solving it, we get  t = 5.045s

v = u + at = 4.9 -9.8×5.045 = 4.9 - 49.44 = -44.54 m/s

The final velocity is -44.54 m/s, and it took  5.045s to reach the ground.

The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 480 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference?

Answers

Answer:

60

Explanation:

According to the given question, the computation of minimum coating thickness is shown below:-

The condition for constructive interference is

[tex]2t_{min} = (m + \frac{1}{2} )\times \frac{\lambda}{^nmateral}[/tex]

[tex]= (0 + \frac{1}{2} )\times \frac{\lambda}{^nmateral}[/tex]

[tex]t = \frac{\lambda}{4n}[/tex]

Now we will put the values to the above formula to reach the answer

[tex]= \frac{480nm}{4\times 2.0}[/tex]

= 60

Therefore we simply applied the above formula to determine the minimum coating thickness

The minimum coating thickness needed to ensure that light of wavelength 480 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference is 60.

Given that, the index of refraction of glass is 1.50 and the index of refraction of silicon monoxide is 2.00. The wavelength light of 480 nm.

If [tex]\lambda {c}[/tex] is the wavelength in the coating and λ is the wavelength in vacuum, then  [tex]\lambda_{c} = \dfrac {\lambda}{n}[/tex]  where n is the index of refraction of the coating.

Thus, the minimum coating thickness [tex]T_{min}[/tex] can be calculated as,

[tex]2T_{min} = (m+\dfrac {1}{2})\times\dfrac {\lambda} {n}\\\\T_{min} = (m+\dfrac {1}{2}) \times\dfrac {\lambda} {2n}[/tex].

For the constructive interference, m = 0.

So [tex]T_{min} = \dfrac {\lambda} {4n}[/tex]

[tex]T_{min} = \dfrac {480\rm nm} {4\times2.0}[/tex]

[tex]T_{min} = 60[/tex]

The minimum coating thickness needed to ensure that light of wavelength 480 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference is 60.

For more details, follow the link given below.

https://brainly.com/question/15541641.

How can you distinguish wave motion and particle motion?​

Answers

Answer:

The particle is defined as the small quantity of matter under the consideration. ... The wave is defined as the propagating dynamic distrubance. The energy of the wave is calculated based on the wavelength and velocity

I HOPE THIS WILL HELP YOU IF NOT THEN SORRY :)

Explanation:

In Physics, we distinguish between wave motion and particle motion. Wave motion refers to the movement of a wave-like pattern from one location on the medium to another. ... When you observe the motion of these points, you are observing particle motion - the motion of particles of the rope.

please help me with my question I will like and mark as brainliest for the first correct answer due tomorrow morning​

Answers

Answer:

1845.26 ?

Explanation:

18.46 × 99.96= 1845.2616 = 1845.26

im not entirely sure though

any person for the job he applied Force moment or torque​

Answers

Answer:

i think torque is the answer not confirmed

help please .....

what is the effect of gravity on a falling object? write the conclusion obtained from the coin and feather experiment ?

Answers

Answer:

Pick something up with your hand and drop it. When you release it from your hand, its speed is zero. On the way down its speed increases. The longer it falls the faster it travels. Sounds like acceleration to me.

But acceleration is more than just increasing speed. Pick up this same object and toss it vertically into the air. On the way up its speed will decrease until it stops and reverses direction. Decreasing speed is also considered acceleration.

But acceleration is more than just changing speed. Pick up your battered object and launch it one last time. This time throw it horizontally and notice how its horizontal velocity gradually becomes more and more vertical. Since acceleration is the rate of change of velocity with time and velocity is a vector quantity, this change in direction is also considered acceleration.

In each of these examples the acceleration was the result of gravity. Your object was accelerating because gravity was pulling it down. Even the object tossed straight up is falling — and it begins falling the minute it leaves your hand. If it wasn't, it would have continued moving away from you in a straight line. This is the acceleration due to gravity.

In this initial experiment the bowling ball drops straight to the ground whereas the feathers float, owing to air resistance.

He alludes to the earlier experiment by Galileo that tested the same hypothesis.

"Galileo’s experiment was simple," he explains. "He took a heavy object, and a light one, and dropped them at the same time to see which fell fastest."

Although Galileo’s experiment proved two similarly shaped objects would fall at the same speed despite being different weights, he didn’t have access to a vacuum chamber in the 17th Century to conduct Professor Cox's more extravagant experiment.

Professor Cox also used the bowling ball and feather to prove a hypothesis put forward by Albert Einstein.

His Special Theory of Relativity argued that items would not be falling but standing still due to lack of force acting on them.

"Isaac Newton would say that the ball and the feather fall because there’s a force pulling them down: gravity,’ Professor Cox said.

"But Einstein imagined the scene very differently.

"The “happiest thought of his life” [as Einstein called it] was this; the reason the bowling ball and the feather fall together is because they’re not falling.

"They’re standing still. There is no force acting on them at all.

"He reasoned that if you couldn’t see the background, there’d be no way of knowing that the ball and the feathers were being accelerated towards the Earth.

"So he concluded they weren’t."

The tweaking of Newton’s earlier theory enabled Einstein to more accurately define his own theory, which regards the relationship between space and time.

hope it helps you

Hello,Plz Help Which conditions are necessary for rain to form?

The temperature of the air below the cloud is above freezing.
The temperature of the air below the cloud is below freezing.
The sky has no clouds, and the temperature of the air is cold.
There is a warm layer of air and a cold layer of air closer to the ground.

Answers

Vas happenin!
The third one makes no since because the clouds carry the rain. It isn’t always cold when it’s going to rain

The fourth one is a good one

The second one again it’s not always cold when it’s raining

The first one could be it also

Hmmm I would go with the last one

Sorry if it’s wrong

The option There is a warm layer of air and a cold layer of air closer to the ground. is the correct answer

A dog is 10 m from a cat, whose speeds are 6 and 5 m / s, respectively. What time does the dog require to catch the cat?

Answers

Answer:

10 seconds

Explanation:

because the cat is moving one m/s slower than the dog, the dog has a relative speed of 1 m/s. 10 meters would take 10 seconds for the dog to cover

3. Take sugar, oil, corn syrup, a glass and water. Pour the water in the glass and then add each of the above the substances one after the other. Observe and note your observations. And give reason for your observation.

Answers

Here are the observations

Sugar:-

Sugar is soluble in water so It will dissolve in water .

Corn syrup:-

Corn syrup is also basically a sugar.It will dissolve in water too .If we shake the mixture in glass then corn syrup will be dissolved.

Oil:-

Oil is not soluble in waterHence it won't dissolve in water.It will float over water and make two layers
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