a 0.1 kg block attached to a spring of force constant 13.1 n/m oscillates with an amplitude of 11 cm. find the maximum speed of the block. answer in units of m/s

Answers

Answer 1

It can be determined using the concept of simple harmonic motion. The maximum speed can be calculated by considering the relationship between the amplitude, mass, and force constant in a harmonic oscillator.

In a simple harmonic motion system, the maximum speed occurs at the equilibrium position, where the displacement is zero. The amplitude of the oscillation represents the maximum displacement from the equilibrium position. For a mass-spring system undergoing simple harmonic motion, the maximum speed (Vmax) can be calculated using the formula:

Vmax = Amplitude × Angular Frequency

where the angular frequency (ω) is related to the force constant (k) and mass (m) as follows:

ω = √(k / m)

Given that the amplitude (A) is 11 cm, which is equal to 0.11 m, and the mass (m) is 0.1 kg, and the force constant (k) is 13.1 N/m, we can find the angular frequency first:

ω = √(13.1 N/m / 0.1 kg) = √(131 N/m²) = 11.45 rad/s

Now, we can calculate the maximum speed:

Vmax = 0.11 m × 11.45 rad/s ≈ 1.26 m/s

Therefore, the maximum speed of the 0.1 kg block attached to the spring, oscillating with an amplitude of 11 cm, is approximately 1.26 m/s.

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Related Questions

How long does it take to fly 108 km east if you are travelling at 270 km/h?

Answers

Answer:

0.4 hour or 24 minutes

Explanation:

Knowing the formula:

\( \displaystyle{ \vec v = \dfrac{ \vec s}{t}}\)

v is velocity, s is displacement and t is time. We know two values which are s = 108 km and v = 270 km/h. Substitute in the formula:

\( \displaystyle{ 270 \ \text{km/h} = \dfrac{108 \ \text{km}}{t}}\)

Solve for t:

\( \displaystyle{ 270 \ \text{km/h} \cdot t= 108 \ \text{km}} \\ \\ \displaystyle{t= \dfrac{108 \ \text{km}}{270 \ \text{km/h}}} \\ \\ \displaystyle{t= 0.4 \ \text{h}}\)

Therefore, it will take around 0.4 hour or converting to minutes. We know that 1 hour = 60 minutes. Multiplying 0.4 both sides, hence:

0.4 hour = 0.4 × 60 minutes = 24 minutes.

What two factors determine the speed of a transverse wave? Explain how these two factors affect the speed of the wave.

Answers

Linear mass density and tension are the two factors on which the speed of the transverse waves on a string depends.

The square root of the linear mass density determines the speed of a wave on a string, with larger speeds occurring when the linear mass density is lower.

The linear density divided by the square root of the tension determines the wave's speed on a taut string.

The qualities of the medium affect a wave's speed. For instance, the sound of a guitar is created by the vibration of the strings. The wavelength and wave speed on the strings influence the frequency of the sound that is produced. A guitar's strings can be composed of materials that are similar in composition but varied in thickness.

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A student is playing with a pendulum. He gives the ball a push and watches the ball as it swings. After a while, the ball stops swinging.Why does the ball stop swinging?

Answers

A because it’s not good

Hello I don’t quite understand this question I could really use some help thank you! :)

Hello I dont quite understand this question I could really use some help thank you! :)

Answers

The necessary to determine the amount of thermal energy applied to the water by the stove is option C. The initial temperature of the room, the initial mass of water, the specific heat of water, the latent heat of fusion of water, and the boiling point of water.

The latent heat of fusion, also known as enthalpy of fusion, is the quantity of strength that should be furnished to a solid substance (generally in the form of heat) so as to cause a trade in its bodily kingdom and convert it right into a liquid.

Thermal electricity refers to the energy contained inside a device that is chargeable for its temperature. heat is the go with the flow of thermal power. a whole branch of physics, thermodynamics, offers how heat is transferred between distinct systems and the way paintings is carried out inside the method (see the 1ˢᵗ regulation of thermodynamics.

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In what two ways can we increase the potential difference?

Answers

Yes I hope this helps

Exercise 11.11 Using the known radius of the Earth and that g =9.80m/s at earth surface ,find the average density of the Earth ​

Answers

7.6 average density of the earth

Which scenario did not include a chemical change?

Answers

Answer:

what scenario i dont understand

Explanation:

step by step explenation

An 82.0-kg person rides on a carnival ride in a 45.0-kg basket supported by a single chain. When the ride reaches its top speed, the basket moves at a constant speed in a horizontal circle with a radius of 7.10 m. At this point, the chain supporting the basket is at a 45.0 angle to the vertical. A)At top speed, how large are the vertical and horizontal components of the tension in the chain? (Hint: The vertical component of the tension equals the weight it supports.) B) What is the magnitude of the centripetal acceleration of the basket and its passenger? C) What is the speed of the basket and its passenger? D) How long does it take the basket to make one complete circle?

Answers

The vertical component of the tension is 1,177.05 N while the horizontal component of the tension is 127.47 × 3.90² = 1,949.04 N.

The magnitude of the centripetal acceleration is 2.14 m/s².

What is the value of the vertical and horizontal components of the tension in the chain?

A) The vertical component of the tension equals the weight it supports, which is the weight of the person plus the weight of the basket:

Weight = (82.0 kg + 45.0 kg) × 9.81 m/s²

Weight = 1,177.05 N

Therefore, the vertical component of the tension is 1,177.05 N.

To find the horizontal component of the tension, we can use the fact that the net force in the horizontal direction is zero when the basket is moving at a constant speed.

The only horizontal force is the component of the tension perpendicular to the radius, so:

The horizontal component of tension = centripetal force

Horizontal component of tension = (mass × centripetal acceleration)

Horizontal component of tension = (82.0 kg + 45.0 kg) × (v²/7.10 m)

Horizontal component of tension = 127.47 v² N

Setting these two components equal to each other gives:

1,177.05 N = 127.47 v² N

Solving for v gives:

v = 3.90 m/s

Therefore, the horizontal component of the tension is 127.47 × 3.90² = 1,949.04 N.

B) The centripetal acceleration is given by:

a = v²/r

a = (3.90 m/s)²/7.10 m

a = 2.14 m/s²

Therefore, the magnitude of the centripetal acceleration is 2.14 m/s².

C) The speed of the basket and its passenger is 3.90 m/s.

D) The time it takes the basket to make one complete circle is given by:

T = 2πr/v

T = 2π(7.10 m)/3.90 m/s

T = 12.9 s

Therefore, it takes the basket 12.9 s to make one complete circle.

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What does it mean that photographs are two-dimensional?

Answers

In geometry, a two-dimensional shape can be defined as a flat plane figure or a shape that has two dimensions – length and width. Two-dimensional or 2-D shapes do not have any thickness and can be measured in only two faces.

A telescope mirror is part of a sphere with a radius of 3 m. what is the focal length of the mirror?

Answers

The focal length of the mirror will be 0.33 m

Focus is defined as the point through which the reflected light rays pass (or appear to pass) when incident light rays are parallel to the principal axis. It is located at the midpoint of pole and center of curvature. The distance between the pole and the focus of the mirror is called the focal length of the mirror.

F =2R or focal length of a mirror is half of its radius of curvature.

The radius of curvature of convex or concave mirror is equal to two times of the focal length of convex or concave mirror. The radius of curvature is the radius of sphere formed by the convex or concave mirror. It is also equal to the distance between the pole and center of curvature.

F = 1/R

R = 3 m (given )

F = 1 / 3 = 0.33 m

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A
person tries to lift each object with a force of 18 N, upward. Which
statement is supported by the data in the table?
A. Objects 1 and 2 will not move, and objects 3 and 4 will accelerate
upward.
B. None of the objects will move, but the normal force on all of the
objects will increase.
O C. All of the objects will move, and object 2 will accelerate upward
the fastest.
D. Objects 1 and 2 will move downward, and objects 3 and 4 will
move upward.

Aperson tries to lift each object with a force of 18 N, upward. Whichstatement is supported by the data

Answers

Answer: A. Objects 1 and 2 will not move, and objects 3 and 4 will accelerate upward.

Explanation:

Because objects 1 and 2 require more force in order to move, they will stay motionless.

Correct me if I am incorrect.

You make a 50:50 mixture of benzoic acid and salicylic acid. what is most likely to happen to the melting point of the mixture?

Answers

When you make a 50:50 mixture of benzoic acid and salicylic acid, the most likely outcome is a decrease in the melting point of the mixture. This is due to the phenomenon known as eutectic behavior.

Eutectic behavior occurs when two substances with different melting points are combined in certain proportions. In this case, benzoic acid has a higher melting point than salicylic acid. When they are mixed together in equal amounts, a eutectic mixture is formed.

The eutectic mixture has a lower melting point than either of the pure substances. This is because the two substances interact at the molecular level, disrupting the crystal lattice structure and making it easier for the mixture to melt.

By creating a 50:50 mixture of benzoic acid and salicylic acid, you are essentially creating a eutectic mixture, which will result in a decrease in the melting point. It's important to note that the extent of the decrease will depend on the specific properties of the two substances involved.

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HELPPP PLEASE URGENT

HELPPP PLEASE URGENT

Answers

convex mirrors are DIVERGING mirrors. The image will get DIMINISHED and VIRTUAL

help pls help pls help pls help pls help pls​

help pls help pls help pls help pls help pls

Answers

The bat produces a sound that travels towards the wall with a velocity of 330 m/s. When it is 3 m away from the wall, the sound wave hits the wall and reflects back towards the bat. The bat then hears the reflected sound. Let's calculate the time it takes for the sound to travel from the bat to the wall and back to the bat:

Time taken for sound to travel from bat to wall = distance/velocity
t1 = 3/330 = 0.0091 seconds

Since the sound wave has to travel the same distance back to reach the bat, the total time taken for the bat to hear the reflected sound is:

Total time = 2*t1 = 0.0182 seconds

In this time, the bat travels a distance equal to its velocity multiplied by the time:

Distance = velocity*time
d = 30*0.0182 = 0.546 meters

Therefore, the distance that the bat has moved when it hears the reflected sound is approximately 0.5 meters, which is option (1).

In Europe, a large circular walking track with a

diameter of 0.900 km is marked in angular distances in

radians. An American tourist who walks 3.00 mi daily

goes to the track. How many radians should he walk?

Answers

Answer: 10.67

Explanation:

First, we needed to calculate the radius and this will be:

= Diameter / 2

= 0.900km / 2

= 0.450km

Since s = 3.00miles, we need to convert it to kilometers and this will be:

1mile = 1.6km

3 miles = 3 × 1.6km = 4.8km

Radians = s/r = 4.8/0.45 = 10.67

An Indy car racer traveling at 15.0 meters per second slows as he makes a pit stop. If he decelerates at 2.5 meters per second squared, he was
away from the pit when he started braking.
meters

Answers

Answer:

x = 45 [m]

Explanation:

To solve this problem we must use the following kinematics equation:

\(v_{f}^{2} = v_{i}^{2}-(2*a*x)\)

where:

Vf = final velocity = 0

Vi = initial velocity = 15 [m/s]

a = desacceleration = 2.5 [m/s^2]

x = distance [m]

Note: the negative sign in the equation above, is because the car slows down.

0^2 = 15^2 - (2*2.5*x)

2*2.5*x = 15^2

x = 45 [m]

Melanie ran the 100 meters race in 12 seconds what was her avarage speed?​

Answers

Answer:

melanie ran 8.3 meters per second

Explanation:

I think thats right, hope it helps.

the coldest temperature ever recorded in the us was -62.1 c (-78.9 f) what was the speed of the nitrogen molecules in the air that day

Answers

To find the speed of nitrogen molecules in the air at the coldest temperature ever recorded in the US, which was -62.1°C (-78.9°F), we can use the formula for root-mean-square (rms) speed of gas molecules:

v_rms = sqrt(3 * R * T / M)

where:
- v_rms is the root-mean-square speed
- R is the universal gas constant (8.314 J/mol·K)
- T is the temperature in Kelvin (convert from Celsius)
- M is the molar mass of nitrogen gas (N₂, approximately 28.0134 g/mol, which needs to be converted to kg/mol)

Step 1: Convert the temperature to Kelvin
T = -62.1°C + 273.15 = 211.05 K

Step 2: Convert the molar mass of nitrogen to kg/mol
M = 28.0134 g/mol * (1 kg/1000 g) = 0.0280134 kg/mol

Step 3: Calculate the rms speed of nitrogen molecules
v_rms = sqrt(3 * 8.314 * 211.05 / 0.0280134) ≈ 509.65 m/s

So, the speed of nitrogen molecules in the air that day was approximately 509.65 m/s.

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Answer: 433.331653

T = -62.1 + 273 = 210.9

MM = 0.0280 = 0.028

V = sqrt((3*8.31*T)/(MM)) = 433.331653

The input impedance of a 31 cm long lossless transmission line of unknown characteristic impedance was measured at 1 mhz. with the line terminated in a short circuit, the measurement yielded an input impedance equivalent to an inductor with inductance of 0.064 μh, and when the line was open-circuited, the measurement yielded an input impedance equivalent to a capacitor with capacitance of 40 pf. find z0 of the line, the phase velocity, and the relative permittivity of the insulating material.

Answers

where the plus sign is represented by n 0 and the minus sign by n 1. Up = 1.94 108 m/s =1 0.65c for n = 0 and r (= (c/up) 2 =1 1/0.652 for n = 0. Up is extremely sluggish and r is unreasonable high for these values of n.

How do you determine a lossless transmission line's input impedance?

The input resistance of the a lossless power line with impedances Z0 = R and an impedance Z2 termination should be determined. As a result, Z0 = R is the input impedance, which is strictly resistive.

How do you determine a signal's characteristic impedance?

Z0 = ZlZh, where Z0 = V 0/I0, yields the characteristic impedance. We simply display the input impedance Bi as a frequency function in the complex plane to determine Z0.

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Thermal expansion means ____as the temperature

a. More strength, increases

b. More atomic movement, decreases

c. Atomic attraction, increases

d. More atomic movement, increases

Answers

Answer:

I believe the answer is d but I could be wrong not a 100% sure.

thermal expansion is the likelihood of matter to change in volume in response to a change in temperature. So answer is D

7. From the choices below, select ALL that are results of radioactive decay.
-the nuclear ejection of electrons
-nuclear fission
-radiation emission
-the nuclear capture of electrons
-nuclear fusion

Answers

the nuclear capture of electrons

What is E equal to in relativity? ​

Answers

\( \huge \underline \mathtt \colorbox{cyan}{E=mc squared}\)

(E=mc^2)

Where:

m is mass

And c is a constant for speed of light

Answer:

One of the most famous and well-known equations in all of human history, E = mc^2, translates to "energy is equal to mass times the speed of light squared." In other words, wrote PBS Nova, energy (E) and mass (m) are interchangeable. They are, in fact, just different forms of the same thing.

Explanation:

this is right answer

help


What causes polar jet streams to form? (1 point)

A.rapid changes in wind direction

B.air masses moving away from each other

C.warm and cold air masses

D.high-pressure systems

Answers

Polar jet streams are formed because of the warm and cold air masses.

What is polar jet streams?

Polar front jet stream, also called polar front jet or mid-latitude jet stream stream, a belt of powerful upper level winds that sits at top the polar front.

The winds are strongest in the troposphere, which is the upper boundary of the troposphere, and move in a generally westerly direction in mid-latitudes.

The vertical wind shear which extends below the core of this jet stream is associated with horizontal temperature gradients that extend to the surface. As a consequence, this jet manifests itself as a front that marks the division between colder air over a deep layer and warmer air over a deep layer.

Polar jet streams are formed due to warm and cold air masses.

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Answer:

C

Explanation:

What is the mechanical advantage ????

What is the mechanical advantage ????

Answers

Answer:

the advantage gained by the use of a mechanism in transmitting force specifically : the ratio of the force that performs the useful work of a machine to the force that is applied to the machine.

Explanation:

Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. The device trades off input forces against movement to obtain a desired amplification in the output force. The model for this is the law of the lever.

Question 7 of 20 A permanent magnet is placed in a coil of wire. If there is no electric current in the wire, which statement must be true? A. The magnet is moving relative to the wire. B. The magnet is not moving relative to the wire. C. The magnet is longer than the coil of wire. D. The magnet is shorter than the coil of wire. ​

Answers

Answer:

the magnet is not moving relative to the wire so B

Explanation:

The magnet is not moving relative to the wire if, A permanent magnet is placed in a coil of wire, If there is no electric current in the wire so, option B is correct.

What is current?

Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). The more electricity flowing across the circuit, the higher the ampere value.

When current flows through a coil of wire, it transforms into an electromagnet. The coil spins as a result of the electromagnet's interaction with a permanent magnet.

An electromagnet is created when current passes through a coil of wire. Because of the electromagnet's interaction with a permanent magnet, the coil spins.

Thus, The magnet is not moving relative to the wire.

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what does acceleRation measure

Answers

Answer:

Speed and distance traveled

Explanation:

10.0 Ω
10.0 Ω
9.0 V
9.0 V
What is the voltage in each branch of the
parallel circuit?

Answers

The voltage in each branch of the parallel circuit is 9.0 V.

What is a parallel circuit?

A parallel circuit is a type of electrical circuit in which the components are arranged in such a way that they are connected to the same voltage source by separate branches.

In a parallel circuit, each component has its own individual path for electric current to flow, and the total current is equal to the sum of the currents flowing through each branch.

In a parallel circuit, the voltage across each component is the same, but the current through each component can be different.

V1 = V2 = V = 9.0 V

where;

V1 and V2 are the voltages in branch 1 and 2

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!!!!100 POINTS!!!!

Select a time span from the list below.
1500 - 1600
1600 - 1700
1800 - 1900
1920 - 1940
1950 - 1970
1970 - 1990
1990 - present
Research astronomy during that time and create a timeline of important events. You may use several materials to create your timeline, including a roll of paper, construction paper, or the computer. Be sure your timeline is accurate, legible, and visually appealing. Choose the event you believe had the greatest impact and write a 150 word summary supporting your opinion. Upload your timeline and summary in the box below. Astronomy Timeline

Answers

The event that had the greatest impact in astronomical history during this time period was the launch of Apollo 16.

The research of astronomy during the time period of 1970 - 1990 are given below as;

Date                                                   Event

1. 15 June 1974               Black Brant VC sounding rocket from White Sands.

2. 14 May 1973              Launch of Skylab, the USA's first space station

3. 26 July 1971                Launch of Apollo 15

What is Astronomy?

Astronomy is a branch of science that deals with celestial bodies and their relationship with each other.

From the information given about astronomy, between the time period 1970 - 1990 as it was on the 26th of December, 1974 that the Soviet space station Salyut-4 was launched.

The event that had the greatest impact in astronomical history during this time period was the launch of Apollo 16.

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Why is the plastic shopping bag transparent

Answers

Answer:

they are transparent to see the content of goods inside but at the same time what cause it to be transparent is because of the fact that they are created with low-density polyethylene and polypropylene, which are transparent polymers.

True or False
The arm of a space shuttle, which carries its payload, suddenly malfunctions and releases the payload. It is expected that the payload will drift into deep space and became a space junk.
_________
lo, one of Jupiter's moons, does not crash into the surface of Jupiter because it is beyond the main pull of Jupiter's gravity.
_________
Eddie accidentally throws his aspirator straight up after seeing the leper down Neibolt Street. Neglecting air resistance, the potential energy of the aspirator decreases while it is going up.
_________

Answers

The arm of a space shuttle, which carries its payload, suddenly malfunctions and releases the payload. It is expected that the payload will drift into deep space and become a space junk. This statement is true.

If the arm of a space shuttle, which carries its payload, suddenly malfunctions and releases the payload, it is expected that the payload will drift into deep space and become space junk.

2. Io, one of Jupiter's moons, does not crash into the surface of Jupiter because it is beyond the main pull of Jupiter's gravity. This statement is false. Io, one of Jupiter's moons, does not crash into the surface of Jupiter not because it is beyond the main pull of Jupiter's gravity, but because it is within the gravitational field of Jupiter, which provides a centripetal force on Io. This force is responsible for holding Io in its orbit around Jupiter.

3. Eddie accidentally throws his aspirator straight up after seeing the leper down Neibolt Street. Neglecting air resistance, the potential energy of the aspirator decreases while it is going up. This statement is false. Neglecting air resistance, the potential energy of the aspirator increases while it is going up. Potential energy is defined as the energy stored in an object due to its position. When the aspirator is thrown straight up, it gains potential energy as it moves higher into the air.

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Please help with this...thanks if a volt is a joule/coulomb, show that a newton/coulomb and a volt/meter are equivalent. Thank you so much for the answers If human nature is evil, why would Tzu think environment is so important? An object is moving ata speed of 63 centimeters every 2 days. Express this speed in meters per hour. Round your answer to the nearest hundredth. "Note: you must use these exact conversion factors to get this question right. Distance / length 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 528o feet (ft) 1 meter (m) = 100 centimeters (cm) 1inch (in) = 2.54 centimeters (cm) 1 foot (ft) = 0.305 meters (mn) Time 1 mile (mi) = 1.609 kilometers (km) 1 minute (min) = 60 seconds (sec) 1 hour (hr) = 60 minutes (min) 1 kilometer (km) = 1000 meters (m) 1 month (month) = 30 days (days) 1 day (day) = 24 hours (hr) 1 week (week) = 7 days (days) 1 year (year) = 365 days (days) What is the flag for all of Africa? if 1cm = 20mi on a map how much miles is 6.35cmif 1cm = 250km on a map how much km is 10.9cmplease help quick 20Assume the first two statements are true. Is the final statement: 1) True, 2) False, or 3)Uncertain based on the information provided?Andy knows Bob.Bob knows Claire.Andy knows Claire. Sharp Corporation produces 8,000 parts each year, which are used in the production of one of its products. The unit product cost of a part is $36, computed as follows: Variable production cost $ 16 Fixed production cost 20 Unit product cost $ 36 The parts can be purchased from an outside supplier for only $28 each. The space in which the parts are now produced would be idle and fixed production costs would be reduced by one-fourth. If the parts are purchased from the outside supplier, what is the annual impact on the company's operating income? Feathers evolved: before flight on multiple occasions before the appearance of dinosaurs a and c are correct none of the above are correct Does anyone know the answer to 10 and 11?? Fill in the table and find the coefficient of K how were italian immigrants treated when they arrived in the us a client has received an unsealed radioactive isotope for treatment of thyroid cancer. which instruction is essential for the nurse to provide the client Explain 5 examples of contents in the Prospectus of the assetmanagement company. the neighborhood ice cream shop finds that when it charges $3 per ice cream cone, its total revenues are $90,000. it has total variable costs of $30,000 and total fixed costs of $40,000. from this we can infer the: The distance from Los Angeles to Portland Oregon,is959 miles. Suppose a pilot flies that rout round trip 42 times in a year. How many miles will the pilot have flown? Explain your answer. In 1919, the U.S. Senate refused to ratify the Treaty of Versailles andjoin the League of Nations. Their main objection to joining was thatthey feared the League would? What is the worst case computational complexity of the following code snippet in terms of Big O notation?result 0for (-; i In two paragraphs (three to five sentences per paragraph), explain why Anne Frank's diary is an important historical document. Use what you learned from Anne Frank's story to respond to the big question: How can we remember the past?