14. If the spring constant of a simple harmonic oscillator is doubled, by what factor will the mass of the system need to change in order for the frequency of the motion to remain the same?

Answers

Answer 1

Lets se

And

[tex]\\ \rm\Rrightarrow T=2\pi\sqrt{\dfrac{m}{k}}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{k}T=2\pi\sqrt{m}[/tex]

So

[tex]\\ \rm\Rrightarrow k\propto m[/tex]

If spring constant is doubled mass must be doubled


Related Questions

What does it mean when di is negative?

Answers

Answer:When the image distance is positive, the image is on the same side of the mirror as the object, and it is real and inverted. When the image distance is negative, the image is behind the mirror, so the image is virtual and upright.

Explanation:

A body X moves with an initial velocity of 10 m/s and acceleration 2 m/s^2. Simultaneously, another body starting from rest and moves with acceleration 3 m/s^2. X and Y will have the same velocity after an interval of time :

Answers

Answer:

10s

Explanation:

Body X

Let's derive an equation for the final velocity of Xv = u + atv = 10 + 2t [Equation 1]

Body Y

Similarily, we need an equation for v here as wellv = u + atv = 0 + 3tv = 3t [Equation 2]

Equating both equations

10 + 2t = 3tt = 10s

Apply first equation of kinematics v=u+at

For x

v=10+2t

For y

v=0+3t

So

x=y10+2t=3t+0t=10s

A hydraulic lift raises 1140 kg car through a height of 2.4 m. What is the potential energy
stored in the car?

Answers

1140x9.8x2.4= 26,812.8 significant figures Make it 27,000

A sphere of metal has a mass of 1431 g and a diameter of 5.80 cm. What is the density of metal in g/cm3

Answers

Answer:

see below

Explanation:

You will need t find the volume of the sphere

 4/3 pi r^3    divide into the mass

1431 / (4/3 pi (5.8)^3) = 14 gm /cm^3

It takes at least 4 people to push a refrigerator up a 10-meter ramp. How many people would be needed to push the same refrigerator to the same height using a 20-meter ramp? (Assume no friction for both ramps. )

Answers

Double the amount of people because the ramp went from 10-meter to 20-meter, so times by 2. 4 times 2 is 8.
The answer is 8 people.
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a coin falls faster than feather on earth

Answers

Answer: true

Explanation: A coin falls faster than a feather on earth because the coin has more mass than the feather so gravity pulls harder on the coin than the feather.

Answer:

Because the feather has more AIR RESISTANCE FORCE than the coin....in a vacuum they would fall at the same rate (no air to provide resistance)

Explanation:

An atom with seven valence electrons would most likely lose an electron to become stable true or fasle

Answers

Answer:

false

Explanation:

since it has seven valence electrons it means it's a non metal and non metals always gain electrons.

what is the mass of an object if a force of 2N and gives it an acceleration of 2 m/s2​

Answers

Answer:

1kg

Explanation:

Use the formula

F=ma

m=F/a

m=2N/2m/s^2

m=1kg

For a 100-Amp, 120/240-V, 3W commercial service, ___ AWG copper THHN/THWN conductors are the smallest permitted for the ungrounded conductors.

Answers

For a 100-Amp, 120/240-V, 3W commercial service, 3 AWG copper conductors are the smallest permitted for the ungrounded conductors.

What is AWG copper THHN/THWN conductors?

AWG stands for American Wire Gauge (AWG).

This is a measurement of the thickness of conductive wires. It is usually applied for the copper conductors in shielded and unshielded twisted-pair cable.

Thus, for a 100-Amp, 120/240-V, 3W commercial service, three (3) AWG copper THHN/THWN conductors are the smallest permitted for the ungrounded conductors.

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A 38kg child is at the top of a slide that is 2. 1m tall.

(a) If there is no friction, how fast will they be moving when they reach the bottom of the slide?

(b) If they lose 250. 0J of energy to sound, heat, and friction, how fast will they be moving when they reach the bottom?

Answers

Answer:

please do not trust those scam links

In astronomy, distances are often expressed in light-years. One light-year is the distance traveled by light in one year. If the distance to a star is 3.5 light-years, what is this distance in meters

Answers

Answer:

dd=4.3 ly=4.3 •9.46•10°15 m=4.1 10°16m.

Explanation:

When sunlight strikes the side of a building, what form of energy is it
transformed to?

A. Chemical energy
B. Thermal energy

C. Kinetic energy

D. Gravitational potential energy

Answers

Answer:

A thermal energy

Explanation:

Can I please have brainliest.

A 7.8-kg solid sphere, made of metal whose density is 2500 kg/m3, is suspended by a cord. When the sphere is immersed in water (of density 1000 kg/m3), what is the tension in the cord

Answers

Answer:

Density of the liquid = 1470.43 kg/m³

Explanation:

Given:

Mass of solid sphere(m) = 6.1 kg

Density of the metal = 2600 kg/m³

Thus volume of the liquid :

Volume of the sphere = 6.1 kg/2600 kg/m³ = 0.002346 m³

The volume of water displaced is equal to the volume of sphere (Archimedes' principle)

Volume displaced = 0.002346 m³

Buoyant force =

Where

is the density of the fluid

g is the acceleration due to gravity

V is the volume displaced

The free body diagram of the sphere is shown in image.

According to image:

Acceleration due to gravity = 9.81 ms⁻²

Tension force = 26 N

Applying in the equation to find the density of the liquid as:

Thus, the density of the liquid = 1470.43 kg/m³

Density of the liquid = 1470.43 kg/m³

Given:

Mass of solid sphere(m) = 6.1 kg

Density of the metal = 2600 kg/m³

Thus volume of the liquid :

Volume of the sphere = 6.1 kg/2600 kg/m³ = 0.002346 m³

Volume displaced = 0.002346 m³

Acceleration due to gravity = 9.81 ms⁻²

Tension force = 26 N

How do you find the string tension?

The tension of a given rope can be thought of as T = (m × g) + (m × a). Where "g" is the gravitational acceleration of all objects supported by the rope and "a" is the other acceleration. All objects are carried by rope.

Tension represents the force a string or chord receives when someone or something pulls it. In other words, whenever the cord is pulled, it is said to be under tension. Whenever we deal with code or code issues, we assume that the code is flexible and has no mass.

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Why can't our current theories describe the conditions that existed in the universe during the Planck era

Answers

Current theories can't describe the conditions that existed in the universe during the Planck era because of energy fluctuation.

Who was Planck?

He is referred to as the father of quantum mechanics and postulated that the energy of light is proportional to the frequency with the constant being referred to as planck's constant.

Current theories can't describe the conditions that existed in the universe during the Planck era because of energy fluctuation which led to the gravitational field to randomly warp space and time.

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Which of the following
is FALSE about forces?
A. Forces can cause change.
B. Forces act in pairs.
C. Forces cannot be quantified.

Answers

C. Forces cannot be quantified
Forces always act in pairs and are subject to change

At very high pressures, gases become what and will eventually do what

Answers

gases become less compressible and the amount of empty space between the molecules is reduced

Someone claims, based on temperature measurements, that the temperature of a fluid rises during a throttling process in a well-insulated valve with negligible friction. Does this process violate any thermodynamic laws

Answers

For someone who claims that based on temperature measurements, the temperature of fluid rises during a throttling process,  this assertion is true since no thermodynamic rules are broken.

What is thermodynamics?

Generally, Thermodynamics is simply defined as a field of science that is responsible for the relationship between heat and other types of energy.

In conclusion, The temperature of the fluid fluctuates or stays the same during the throttling process.

As a result, this assertion is true since no thermodynamic rules are broken.

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Sam runs a 100 m race in 16 seconds. Calculate how fast he was running in m/s.

Answers

Answer:

6.25 m/s

Explanation:

100÷16=6.25

Why can’t you
feel the effect of the reaction
force when an object falls to
Earth?

Answers

Answer:

Because the Earth is EXTREMELY massive

Explanation:

An ideal gas, initially at a volume of 2.33333 L
and pressure of 9 kPa, undergoes isothermal
expansion until its volume is 7 L and its pressure is 3 kPa.
Calculate the work done by the gas during
this process.
Answer in units of J.
(part 2 of 2)
Find the heat added to the gas during this
process.
Answer in units of J.

Answers

The work done by a gas during an isothermal process is equal to -23.079 Joules.

How to calculate the work done by the gas.

Mathematically, the work done by a gas during an isothermal process is given by this formula:

W = nRTln(P₂/P₁)

Where:

P is the pressure.R is the ideal gas constant.T is the temperature.n is the number of moles.

Given the following data:

Initial volume = 2.33333 L to m³ = 0.00233333 m³.

Initial pressure = 9 kPa.

Final volume = 7 L to m³ = 7000 m³.

Final pressure = 3 kPa.

Next, we would determine the temperature of this gas by using the ideal gas equation:

T = PV/R

T = (9000 × 0.00233333)/8.314

T = 2.526 K.

Now, we can calculate the work done by this gas:

W = nRTln(P₂/P₁)

W = 1 × 8.314 × 2.526 ln(3000/9000)

W= 21 × ln(0.3333)

W = 21 × (-1.099)

W = -23.079 Joules.

How to calculate the amount of heat added.

From the first law of thermdynamics, the amount of heat added to the gas during this isothermal process is given by:

Q = -W

Q = -(-23.079)

Q = 23.079 Joules.

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A ray of light in air strikes the surface of a liquid at an angle of 65 degrees with the normal. The refracted ray is at an angle of 42 degrees with the normal. What is the index of refraction of this liquid?

Answers

The index of refraction of this liquid will be 1.28. It is found as the ratio of the sin of the angle of incidence and the angle of reflection.

What is an index of refraction?

The refractive index of a substance is a dimensionless quantity that specifies how quickly light passes through it in optics.

The given data in the problem is;

Angle of incidence (i)= 65°

Angle of refraction(r) = 42°

The formula for the index of refraction is;

[tex]\rm n = \frac{sin \ i }{sin \ r} \\\\ \rm n = \frac{sin 65 ^0}{sin 42^0} \\\\ n=1.28[/tex]

Hence, the index of refraction of this liquid will be 1.28.

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Which is produced around a wire when an electrical current is in the wire?
A.magnetic field
B.solenoid
C.electron flow
D.electromagnet

Answers

Answer:

it is a magnetic field

Explanation:

The group of membranes that extend out from the nucleus throughout the cytoplasm allowing for structural support and efficient movement of materials within the cell is the

Answers

The nuclear membrane has pores which allow the transfer of material from inside the nucleus to its outside, i.e., to the cytoplasm.
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A light bulb has a resistance of 360. What is the current in the bulb when it has a potential difference of 120 v across it?.

Answers

Answer:

1/3 amp

Explanation:

V = IR

V/R = I

120 / 360 = 1/3 amp

which statement below can be made about the production of electricity in a nuclear reactor

Answers

Answer:

Heat flows from the reactor to the water

Explanation:

Good luck! :)


A certain source with a half-life of 1 min gives
2800 counts/s at time t=0.
What is the counting rate after 3min

Answers

10 points I think ‍♀️

A box with a mass of 50 kg is raised straight up. What is the force of the box?

Answers

Answer:

A box with a mass of 50 kg is raised straight up. What is the force of the box? plss help!! two types exist-positive and negative. possible answers: A- electric current B- repel C- lines of force D- charges. Five wavelengths are generated every 0.100 s in a tank of water.

Explanation:

I hope it helped

I need help on this question!! Please answer asap!

Answers

Answer:

hub    moon     merc   saturn   sun    galaxy    deep field

Explanation:

You are approaching a helicopter on a helipad in an ambulance. The helicopter is powered down and the blades are not spinning. After notifying the PIC of your arrival, you will approach:

Answers

After notifying the PIC, approach the powered-down helicopter cautiously, maintaining communication, wearing safety gear, and following designated paths. Keep a safe distance, watch for rotor blades, and assist passengers as needed while following the PIC's instructions. Prioritize safety and be prepared for emergencies.

After notifying the Pilot in Command (PIC) of your arrival, you should approach the helicopter with caution and follow proper safety procedures.

The general outline of steps are:

Communication: Before approaching the helicopter, ensure you have clear communication with the PIC. They might provide you with specific instructions or guidelines for approaching the helicopter safely.

Safety Gear: Make sure you and your team are wearing appropriate safety gear, including high-visibility vests, helmets, and any other necessary personal protective equipment.

Ambulance Positioning: Position the ambulance at a safe distance from the helicopter to avoid any potential hazards, such as jet blast or rotor downwash.

Secure the Ambulance: Ensure that the ambulance is properly secured and the brakes are engaged to prevent any unintended movement during the operation.

Approach Path: Approach the helicopter from the designated safe side or approach path. The safe side is typically the one where the tail rotor is located, as the main rotor downwash poses less risk on that side.

Maintain Visual Contact: Maintain visual contact with the helicopter and the PIC at all times. Follow any hand signals or instructions provided by the PIC.

Engine Shutdown: Confirm that the helicopter's engines are indeed powered down and that all rotor blades are stationary.

Approach Slowly: Approach the helicopter slowly and cautiously. Avoid sudden movements or loud noises that might startle the helicopter crew or passengers.

Mind the Rotor Blades: Be aware of the rotor blades' location and ensure that you maintain a safe distance from them. Even though they are stationary, they can still pose a hazard.

Assist Passengers: If passengers need assistance getting from the helicopter to the ambulance, follow the guidance of the PIC or crew members. Use appropriate equipment (e.g., stretchers, ramps) to safely transfer passengers.

Follow PIC Instructions: Throughout the operation, follow the instructions of the PIC. They have a clear understanding of the helicopter's condition and the safest approach procedures.

Emergency Plan: Be prepared for any unexpected situation. Have an emergency plan in place in case the helicopter needs to be powered up quickly or if there's a sudden need to move away from the helicopter.

Hence, Approach the helicopter safely and cautiously while following PIC's instructions to ensure passenger and crew safety.

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The rate of flow of electric charge along a wire is called.​

Answers

Current

Hope this helps!

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