A disk with radius of 0. 5 m is free to rotate around its center without friction. A string wrapped around the disk is pulled, as shown above, exerting a 2 n force tangent to the edge of the disk for 1 s. If the disk starts from rest, what is its angular speed after 1 s?.

Answers

Answer 1

For a disk with radius of 0. 5 m is free to rotate around its center without friction,  its angular speed after 1 s is mathematically given as

w=1/(0.5M π^2)

What is its angular speed after 1 s?

Generally, the equation for the Moment of inertia  is mathematically given as

I=0.5mx^2

Where

radius = 0. 5 m

Mass=M

Force on edge=F=2N

Time =t

Hence, Torque

T=0.5*2=1.0Nm

Where

T=Ia

w=W0+at

Hence

W=1/I

In conclusion,  angular speed after 1 s

I=0.5M π^2

w=1/(0.5M π^2)

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Related Questions

2. A barista uses the expression 4.25v + 2.65g to calculate her profit when she sells v, ven
and g, grande, beverages. What is the barista's profit, in dollars, when she sells 36 venti an
44 grande beverages?

Answers

It’s a I just took the test

Improperly installed air conditioners can occasionally fall from apartment windows down onto the road below.  How long does a pedestrian have to get out of the way of an air conditioner falling eight stories [24m] hello I just need help idea my vi vf t d a and I am not certain if it is a horizontal question or not

Answers

Given data:

* The distance traveled by the air conditioner is,

\(d=24\text{ m}\)

Solution:

As the air conditioner is falling freely under the action of gravity.

Thus, the acceleration of the air conditioner is equal to the acceleration due to gravity.

\(\begin{gathered} a=g \\ a=9.8ms^{-2} \end{gathered}\)

As the air conditione ris falling itself from the height.

Thus, the initial velocity of the air conditoner is,

\(v_i=0\text{ m/s}\)

By the kinematics equation, the final velocity of the air conditioner is,

\(v^2_f-v^2_i=2ad\)

Substituting the known values,

\(\begin{gathered} v^2_f-0=2\times9.8\times24 \\ v^2_f=470.4 \\ v_f=21.69\text{ m/s} \end{gathered}\)

Thus, the final velocity of the air conditioner is 21.69 m/s.

By the kinematics equation, the time taken by the air conditioner,

\(v_f-v_i=at\)

where t is the time taken by the air conditioner to reach the ground,

Substituting the known values,

\(\begin{gathered} 21.69-0=9.8t \\ t=\frac{21,69}{9.8} \\ t=2.21\text{ s} \end{gathered}\)

Thus, the time taken by the air conditioner ot reach the ground is 2.21 seconds.

The two 10-cm-long parallel wires in the figure are separated by 5. 0 mm. For what value of the resistor r will the force between the two wires be 1. 26×10−4 n?

Answers

F = 0(I1I2L)/(2d) represents the force between two parallel wires, where 0 is the permeability of free space, L represents the wires' length, and d represents the spacing between the wires. We obtain r = 5.02 by solving for r in the formula F = I2 r and substituting the supplied values.

F = 0(I1I2L)/(2d), where 0 is the permeability of empty space, I1 and I2 are the currents flowing through the wires, L is the length of the wires, and d is the distance between the wires, calculates the force between two parallel wires. The formula F = I2 r, where F is the force between the wires and I2 is the current running through one of the wires, may be used to determine the resistance value that will produce a force of 1.26x10-4 N. We get r = 5.02 by entering the specified data into these calculations. This indicates that a resistor with a value of 5.02 ohms would produce a force between the two of 1.26x10-4 N.

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Question 8
Brooke wakes up in the morning to find a rainbow produced by light shining through the fish tank near
her window. Which of the following types of electromagnetic radiation produced the rainbow that
Brooke saw?
Ultraviolet
Infrared
White light
Gamma rays

Answers

Answer:

3.white light

How would doubling the mass of Earth affect the gravity we experience?​

Answers

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. If one of the masses is doubled, the force of gravity between the objects is doubled. increases, the force of gravity decreases.

Yuki is studying the diet of owls. While dissecting owl pellets, she takes detailed notes about the bones that she finds. She organizes the bones she finds into different types of animals. When she finishes, she creates a food web to show what she has learned. Which scientific skills did Yuki use?
Check all that are true.
A. classifying
B. observing
C. evaluating
D. making models

Answers

the answer to this is A. classifying.

In a room in a house, there are four electric lamps in parallel with each other, controlled by a single switch. With all the lamps working, one of the lamp filaments suddenly breaks.What, if anything happens to the remaining lamps? Explain your answer.

Answers

Explanation:

In a parallel circuit, each lamp is connected to the power source independently, meaning that the lamps are not directly connected to each other. Therefore, if one lamp filament breaks in this setup, the other three lamps will continue to work unaffected.

When the filament of one lamp breaks, it essentially opens the circuit for that particular lamp. However, the remaining lamps are still connected in parallel, so the current can flow through them independently. The other lamps will continue to receive electricity from the power source and light up normally.

This behavior is a characteristic of parallel circuits, where each component has its own individual connection to the power source. If the lamps were connected in series, the situation would be different. In a series circuit, a break in one lamp's filament would interrupt the flow of current throughout the entire circuit, and all the lamps would go out.

a _ is an explanation that unifies the findings of many experiments, and it can be changed when new experimental results need to be explained

Answers

That's a pretty good intuitive definition of a theory .

A ball was dropped and had a mass of .2 kg and was falling with a force of 2 N, what was its acceleration?

Answers

Answer:

10m/s I believe

Explanation:

F=MA

A=F/M

A=2/0.2

A=10m/s

What is important when it comes to winning

Answers

Answer:

satisfaction, enjoyment and fair play

Answer:

It is important to be a good sport, and even if you do not win still be happy about being able to participate, and congratulate the person that did win.

Explanation:

Hope this helped Bye!

If several balls are thrown straight up with different initial speeds, the quantity that will have the same value along their paths is their.

Answers

The quantity that will have the same value along their paths is their acceleration option (D).

What is acceleration?

The rate at which the speed and direction of a moving object alter over time is known as acceleration. When anything begins to move faster or slower, it is said to be accelerating.

If we ignore air resistance, there will only be one force acting on the balls because they are all hurled straight up into the air: the force of gravity.

Where m is the ball's mass, the force of gravity acting on each ball is given by

The acceleration caused by gravity is known as g (9.8 m/s², downhill).

According to Newton's second law,

F=ma,

where F is the net force exerted on the ball:

And after simplifying, we discover that the acceleration of each ball is: and since g is a constant value, we draw the conclusion that each ball's acceleration is the same regardless of mass or initial speed.

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Complete question is "If several balls are thrown straight up with different initial speeds, the quantity that will have the same value along their paths is their(A) initial momentum.(B) maximum height.(C) time of travel.(D) acceleration".

PLEASE PLEASE HELP ME WITH THIS

PLEASE PLEASE HELP ME WITH THIS

Answers

The answer would be A because I did the math :)

Sophie runs around an oval 5 mile track. What is Sophie's displacement and total distance ran?

Her displacement and distance are each 0.

Her displacement is O and her distance is 5 miles.

Her displacement is 5 miles and her distance is 0.

Her distance and displacement are each 5 miles.

Answers

Answer:

Her displacement is 0 miles and her distance is 5 miles.

Explanation:

Given information:

Sophie runs in an oval track. The length of track is 5 m.

Distance is the total length of path covered during motion while displacement is the shortest distance between initial and final position.

In this case, Sophie completes one cycle in the oval track and the track length is 5 m. So, the distance covered by her will be 5 m.

Now, after completing the track, the initial and final position of Sophie will be same and hence, the displacement she covered will be 0 miles.

Therefore, option "Her displacement is 0 mile and her distance is 5 miles" is correct.

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The displacement of Sophie is 0 and her distance is 5 m

The displacement of Sophie is the change in her position.

If she runs in an oval track, she will return to her initial starting position. The initial position and the final position will be equal, the change in her displacement will be zero.

\(\Delta x = x_f- x_i\\\\\Delta x = 5 - 5 = 0\)

The distance traveled by Sophie is the sum of the total distance covered.

distance = 5 m

Thus, the displacement of Sophie is 0 and her distance is 5 m

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What is the kinetic energy of a ball with a mass of 5kg rolling at 10m/s?

A. 50 J
B. 5 J
C. 250 J
D. 25 J

Answers

The answer is C because the formula is 0.5* mass [5kg]*velocity^2[10m/s]^2

if the resistance in a constant voltage circuit is doubled, the power dissipated by that circuit will power: if the resistance in a constant voltage circuit is doubled, the power dissipated by that circuit will decrease to one-half its original value. decrease to one-fourth its original value. increase by a factor of four. increase by a factor of two.

Answers

This circuit's power dissipation will drop to half of what it was before.

If the resistance remains the same but the voltage doubles, what will happen to the current?

Ohm's Law states that V=IR, where V is voltage, I is current, and R is resistance. We can solve for current and observe the outcome by substituting 2V for V. I=2(VR) would apply in this situation. Therefore, it is clear that for a given resistance, the current doubles if the voltage does as well.

Let's assume that resistance is R and that power is P. If we change the resistance to 2 R, new power P1 = V2 / 2 R = 1/2 (V2 / R) = P, the power dissipated by this circuit will drop to half its original value .

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Need the answer badddd without this app I’d be screwed

Need the answer badddd without this app Id be screwed

Answers

Answer:

B

Explanation:

The first modern personality test was the Woodworth Personal Data Sheet, which was first used in 1919. It was designed to help the United States Army screen out recruits who might be susceptible to shell shock.

so, B is correct

Answer:

The answer is B, I hope this helps.

you are at the grand canyon standing at the edge of a ledge 1857 m high you have a mass of 61 kg. you decide to take a selfie to share with your science teacher when you get home which causes you to wonder how much gravitational potential energy do you have standing at the edge of this cliff

Answers

Answer:

1,110,114.6 J

Explanation:

The height is 1857m, the mass is 61 kg, and the accelaration is 9.8 m/s^2. Plug in the equation GPE=h*m*a and you get 1,110,114.6.

h= height

m= mass

a= accelaration

GPE= gravitational potential energy

If you are at the grand canyon standing at the edge of a ledge 1857 meters high you have a mass of 61 kilograms, then your gravitational potential energy at the edge of the cliff would be 1111247.37 Joules.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.

As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.

ME = KE + PE

The total gravitational potential energy at the edge of the cliff would be

PE = m × g × h

PE =61 × 9.81 × 1857

PE =1111247.37 Joules

Thus, the total gravitational potential energy at the edge of the cliff would be  1111247.37 Joules.

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an l-c circuit consists of a 65.0 mh inductor and a 300 μf capacitor. the initial charge on the capacitor is 6.50 μc, and the initial current in the inductor is zero.
a. What is the maximum voltage across the capacitor?
b. What is the maximum current in the inductor?
c. What is the maximum energy stored in the inductor?
d. When the current in the inductor has half its maximum value, what is the charge on the capacitor?
e. When the current in the inductor has half its maximum value, what is the energy stored in the inductor?

Answers

The maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.

In the L-C oscillation, energy is transferred between capacitor and inductor with a certain periodicity.

Given that, Inductance L = 65 * 10⁻³ h

Capacitance C = 300 * 10⁻⁴ F

Initial charge q = 6.5 * 10⁻⁴ C

We know that,

1/2 q²/C + 1/2 L² = 1/2 C* v₀²

From the above equation, we can write v₀ = q/C

Substituting the values in the above equation, we get

v₀ = q/C = (6.5 * 10⁻⁴) / (300 * 10⁻⁴) = 0.021 V = 2.1 * 10⁻² V

The formula to calculate initial energy in the capacitor is 1/2* q²/C

where q is charge and C is capacitance

E = 1/2 * q²/C = (6.5 * 10⁻⁴)²/ 2 * (300 * 10⁻⁴)

⇒ (42.25 * 10⁻⁸)/ (6 * 10⁻²)

⇒ 7.042 * 10⁻⁶ J

Thus, maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.

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Raymond and Julie ar driving to Santa Barbara.
They drive at an average speed of Bomon for
2.5 hours before he stopping for lunch. H
takes them 30 minutes to eat. After lunch
they continue driving or an average speed
of so mon for 3.0 nono . What is their
average speed, in miles
for the
3.5
entive
HID
per hour

Answers

This is not worded correctly. Soooo idk sorry:/

centripetal force a 200 g ball is moving in a horizontal circle at 5 m/s. the tension in the string is 5n. (don't forget: mass in kg a. which force is providing necessary centripetal force to keep stone moving in circular motion? b. how much is centripetal force? c. how long is the string? (fc

Answers

The force applied to an item in curvilinear motion that is pointed at the center of rotation or the center of curvature is known as a centripetal force. Mass* centripetal acceleration is used to determine

How can this problem be solved?

The provided ball weighs 0.35kg.

Given is a centripetal acceleration of 5 m/s2.

The centripetal force's magnitude must be determined.

Calculation

Centripetal force = mass*centripetal acceleration

                             = 0.35*5

                             =  1.75N

Hence , the centripetal force is 1.75N

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Caleb conduce su motocicleta por con una velocidad constante de 38 km/h y luego por otras 2 horas con una velocidad constante de 20 km/h. ¿Cuál es su velocidad media para el viaje total?

Answers

Answer:

No Lo se :v esque estoy enferma del

Culovirus :v ༎ຶ‿༎ຶ

How to test the effect of the water throughout the experiment (independent variable) on the cleanliness of water (dependent variable).

Answers

The independent variable is the different amounts salt that will be added to the water (what is done by the scientist). The dependent variable is the boiling temperature of the water (what is being measured). the independent variable is manipulated or changed by the experimenter to measure the effect of this change on the dependent variable.

A reheat Rankine cycle operates with water as the working fluid. Steam enters the first turbine at 8 MPa and 450°C and exits at 0.8 MPa. It is then reheated to 400°C before entering the second turbine, where it exits at 10 kPa. If the amount of work into the pump is 8.04 kJ/kg and the net work per cycle produced is 1410.25 kJ/kg, determine the thermal efficiency of the cycle

Answers

Answer:

The thermal efficiency, \(\eta _{reheat}\), of the Rankine cycle with reheat is 36.81%

Explanation:

p₁ = 8 MPa = 80 Bars

T₁ = 450°C = 723.15 K

From steam tables, we have;

v₁ = 0.0381970 m³/kg

h₁ = 3273.23 kJ/kg

s₁ = 6.5577 kJ/(kg·K) = s₂

The p₂ = 0.8 MPa

T₂ = Saturation temperature at 0.8 MPa = 170.414°C = 443.564 K

h₂ = 2768.30 kJ/kg

\(T_{2'}\) = 400°C = 673.15 K

\(h_{2'}\) = at 400°C and 0.8 MPa = 3480.6 kJ/kg

p₃ = 10 kPa = 0.1 Bar

T₃ = Saturation temperature at 10 kPa = 45.805 °C = 318.955 K

h₃ = 2583.89 kJ/kg

h₄ = \(h_{3f}\) = 191.812 kJ/kg

The thermal efficiency, \(\eta _{reheat}\), of a Rankine cycle with reheat is given as follows;

\(\eta _{reheat} = \dfrac{\left (h_{1}-h_{2} \right )+\left (h_{2'}-h_{3} \right )-W_{p}}{h_{1}-\left (h_{4}+W_{p} \right )+\left (h_{2'}-h_{2} \right )}\)

Therefore, we have;

\(\eta _{reheat} = \dfrac{(3273.23 -2768.30 ) + (3480.6 -2583.89 ) - 8.04)}{(3273.23 -(191.812 + 8.04) + (3480.6 -2768.30 ) } = 0.3681\)

Which in percentage is 36.81%.

An atom of lead has a radius of 154 pm and the average orbitalspeed of the electron in it is about 1.8x10^8 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of lead. Write your answer as a percentage of the average speed, and round it to significant 2 digits.

Answers

The least possible uncertainty in a measurement of the speed of an electron in an atom of lead, expressed as a percentage of the average speed, is approximately 0.85%.

The uncertainty in the measurement of the speed of an electron can be determined using the Heisenberg uncertainty principle, which states that there is a fundamental limit to the precision with which certain pairs of physical properties, such as position and momentum, can be known simultaneously. Mathematically, the uncertainty principle is expressed as:

\(\(\Delta x \cdot \Delta p \geq \frac{h}{4\pi}\)\)

where \(\(\Delta x\)\) is the uncertainty in position, \(\(\Delta p\)\) is the uncertainty in momentum, and h is the reduced Planck's constant.

In this case, we are interested in the uncertainty in the speed of the electron, which is related to its momentum. The momentum of an electron can be approximated as \(\(p = m \cdot v\)\), where m is the mass of the electron and v is its velocity. Since the mass of the electron remains constant, the uncertainty in momentum can be written as:

\(\(\Delta p = m \cdot \Delta v\)\)

To find the uncertainty in velocity, we can rearrange the equation as:

\(\(\Delta v = \frac{\Delta p}{m}\)\)

Now, we can substitute the values given in the problem. The mass of an electron is approximately \(\(9.10938356 \times 10^{-31}\)\) kg, and the average orbital speed is \(\(1.8 \times 10^8\)\) m/s. The uncertainty in velocity can be calculated as:

\(\(\Delta v = \frac{\Delta p}{m} = \frac{\frac{h}{4\pi}}{m} = \frac{h}{4\pi \cdot m}\)\)

Substituting the known values, we get:

\(\(\Delta v = \frac{6.62607015 \times 10^{-34}}{4\pi \cdot 9.10938356 \times 10^{-31}} \approx 2.20 \times 10^{-3}\) m/s\)

Finally, we can express the uncertainty in velocity as a percentage of the average speed:

\(\(\text{Uncertainty \%} = \frac{\Delta v}{\text{Average speed}} \times 100 = \frac{2.20 \times 10^{-3}}{1.8 \times 10^8} \times 100 \approx 0.85\%\)\)

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bold completed over 100m in 9.58
seconds what is his average speed​

Answers

Answer:

At the Berlin 2009 World Championships, Bolt set a world record time of 9.58 seconds for the 100m race, notching a top speed of 27.8 miles per hour (44.72 kilometers per hour) between meters 60 and 80, with an average speed of 23.5 mph.

Explanation:

CAN U PLS CHECK IF IT CORRECT I'LL MARK YOU BRAINLIST

CAN U PLS CHECK IF IT CORRECT I'LL MARK YOU BRAINLIST

Answers

Answer:

l think that the answer is 10.hope this helps . Can you mark me the brainest pliz.lt's LAURA RAYS AMIRA.

Answer:

Explanation:

700-40 = 760

760/10 = 76

It will take her 76 days to finish the book

Time = Distance / Speed. In a competition, an athlete threw a flying disk 139 meters
through the air. While in flight, the disk traveled at an average speed of 13.0 m/s. How long did
the disk remain in the air?

Answers

Answer:

10.7 seconds (1d.p)

Explanation:

To find time, do distance over speed. Thus, 139 divide 13 equals 10.7.

as the unit is in m/s. Then 10.7 will be in seconds.

Answer:

A boy runs a distance of 10km at speed of 15km/hr and continues to Moves an acceleration of 1.5m

HELP!!!!!
Which of the following is a type of wave that travels at a right angle relative to the direction of motion? (2 points)

Select one:
a. Amplitude
b. Longitudinal
c. Propagated
d. Transverse

Answers

Answer:

Transverse Wave

Explanation:

Longitudinal: vibrates in the same direction

Propagated: the direction the wave travels (specific to wave type)

Amplitude: from equilibrium to crest or trough

A soccer player kicks a ball, applying a force of 1,000 newtons over a distance of 0. 2 meter. The ball travels 50 meters down the field before another player stops the ball. How much work was done during the kick?.

Answers

500 i think i’m wrong though

With no air resistance, a projectile fired at 70° has the same range as if it were fired at A. 20 degrees B. 90 degrees C. 75 degrees D. 15 degrees

Answers

A projectile fired at 70 degrees will have the same range as a projectile fired at 75 degrees angle.

Hence, the correct option is C.

This is a problem in projectile motion, which involves the motion of an object that is launched into the air and then moves under the influence of gravity. The range of a projectile is the horizontal distance it travels before hitting the ground, and it depends on the initial velocity and angle of launch.

In this problem, we are told that a projectile fired at an angle of 70 degrees has the same range as one fired at some other angle. We are asked to find that angle.

To solve this problem, we need to use the fact that the range of a projectile is given by the formula

R = \(vo^{2}\) * sin(2θ) / g

where R is the range, v0 is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.

We know that the range for the 70 degree angle is the same as the range for the unknown angle, so we can set up an equation

\(vo^{2}\) * sin(140) / g = \(vo^{2}\) * sin(2θ) / g

We can simplify this equation by canceling out the g terms and dividing both sides by  \(vo^{2}\)

sin(140) = sin(2θ)

Now we can use the inverse sine function to find θ

θ = \(sin^{-1}\)(sin(140) / 2)

θ ≈ 75 degrees.

Hence, the correct option is C.

The given question is incomplete and the complete question is '' A projectile fired at 70 degrees will have the same range as a projectile fired at ____ angle. A. 20 degrees B. 90 degrees C. 75 degrees D. 15 degrees ''.

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