A sphere of mass m1 is attached to an ideal spring, then pulled downward from its equilibrium position and released from rest. A sphere of mass m2 is hung from a massless string of length L, pulled to the right from its equilibrium position, and released from rest. If both spheres have the same period of oscillation, then what is the spring constant of the spring attached to m1

Answers

Answer 1

Answer:

      k = [tex]\frac{g \ m_1}{L}[/tex]

Explanation:

In this exercise the two cases presented are a simple harmonic motion, with angular velocity

spring - mass                                      w² = k / m₁

simple pendulum (string- mass m₂)  w² = g / L

angular velocity and period are related

              w = 2π/ T

since they indicate that the two periods are equal, the angular velocities are also equal, therefore we can equal the two equations

             [tex]\frac{k}{m1} = \frac{g}{L}[/tex]

             k = [tex]\frac{g \ m_1}{L}[/tex]


Related Questions

Two Brothers are playing soccer on the beach. One brother kicks the ball really hard and the ball lands in the water, about 50 meters from the beach. They wonder if the ball will float back to the beach.

Answers

Answer:

Due to wind and waves of water.

Explanation:

They wonder that the ball will float back to the beach because of the wind and the waves of the water. The wind blows towards the beach which moves the water in the form of waves towards the beach so if the ball lands in the water, it will floats on the surface of water and move towards the beach with the help of wind and waves of the sea. The ball floats on the water due to its lighter weight and lower density as compared to water.

What is role of force on the speed of moving object? ​

Answers

Explanation:

this is the ans hope it works

Answer:

Forces make things speed up (or accelerate). When a force pushes or pulls the object, the object will move in the direction of the force. The bigger the force, and the lighter the object, the greater the acceleration.

Explanation:

The action from a force can cause an object to move or speed up (accelerate), to slow down (decelerate), to stop, or to change direction. Since any change in velocity is considered acceleration, it can be said that a force on an object results in the acceleration of an object.

A simple mathematical relationship exists between the mass of an object (m), the net force on the object (f) and its acceleration (a). The acceleration of an object is directly proportional to the net force and indirectly proportional to the object’s mass (a = f/m).

Does a battery produce electric currents?

Answers

Answer:

A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.

Question 4
The diagram represents the motion of a sound wave. The distance between points A and C is 9 meters (m), and it initially takes the wave 3 seconds (s) to travel.
What will be the wavelength of the sound wave if the velocity of the wave remains constant but the pitch is tripled?

A 3 meters
B 6 meters
с 9 meters
D 18 meters

Answers

Answer:A

Explanation:

The wavelength of the sound wave will be 3 meters.

What is wavelength?

The wavelength of any wave is defined as the distance between two max adjacent amplitudes, or the distance between two successive troughs or crest.

Now it is given that:

Distance =9 meters

time = 3 seconds

pitch=1/3 seconds

The velocity of  the sound will be

[tex]V=\dfrac{d}{t}=\dfrac{9}{3}=3\ \frac{m}{s}[/tex]

Now from the question the wavelength of the sound wave if the velocity of the wave remains constant but the pitch is tripled

so  [tex]f=3\times \dfrac{1}{3}=1 herts[/tex]

Now the velocity of the sound will be

[tex]v=f\times \lambda[/tex]

[tex]\lambda=\dfrac{v}{f}=\dfrac{3}{1}=3\ m[/tex]

Thus the wavelength of the sound wave will be 3 meters.

To know more about wavelength, follow

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The half-life of iodine-131 is 8 days. If a sample originally contains 0.96 g of the isotope, how much will remain after 24 days?​

Answers

Answer: you ever get the awnser?

Explanation:

Answer: 0.12 g

Explanation: I got it right on the quiz.

What is the law of conservation of energy?
a
Energy can be changed from one form to another
form but cannot be created nor destroyed.
b An object at rest tends to stay at rest.
C
The right answer is not given.
The change in energy is equal to the
d amount of heat added plus the amount of
work done

Answers

Answer:

The answer is A

Why is diffraction used in soil profiles?

Answers

Answer:X-ray diffraction (XRD) is the technique most heavily relied on in soil mineralogical analysis. X-ray diffraction is a technique that provides detailed information about the atomic structure of crystalline substances. It is a powerful tool in the identification of minerals in rocks and soils.

Explanation:

XRD is used to identify the minerals composing clay-rich, hydrothermally altered rocks that occur on several Cascade volcanoes. Such rocks are believed to play an important role in the generation of large landslides and mudflows. XRD is used to analyze saline minerals, including borates.

differences between weightlessness in space and weightlessness in earth​

Answers

Answer:

it depends on a person's own weight

Answer:

The gravity is roughly the same. The inverse square law applies to gravity and that means that being 60 miles above Earth is about the same as being on Earth. The thing is, they are going really fast in an orbit and thus falling around the Earth. The weightlessness comes from a sort of cancellation of gravity pulling them down and their going perpendicular to that force. The forces are cancelling and making them relatively “weightless”. It’s not really weightlessness but just an equilibrium reached between the two accelerations of gravity and their motion against the pull of the Earth.

Explanation:

please help me asap thankss

EXPLAIN WHY A POLYTHENE ROD GAINS A NEGATIVE CHARGE WHEN IT IS RUBBED WITH A CLOTH

Answers

Answer:

When a polythene rod is rubbed with a duster, the friction causes electrons to gain energy. Electrons gain enough energy to leave the atom and 'rub off' onto the polythene rod. The polythene rod has gained electrons, giving it a negative charge.

Explanation:

Hope it helps

Describe how an oscilloscope should be used to measure the frequency of the sound wave from the sonometer

Answers

Answer:

            T = reading (cm) time base (s / cm)

            f = 1 / T

Explanation:

An oscilloscope is a piece of equipment that allows you to visualize and measure a wave that reaches you, in the case of having a sonometer this transforms the sound wave into an electrical signal to be introduced through one of the voltage channels of the equipment, on the screen we will see the oscillating alternating signal, if it is fixed we can make the reading, if it is moving the time base and the trigger must be adjusted to stop it.

In the oscilloscope we can read the period of the signal, this is the time it takes for the signal to repeat itself with this value, we can calculate the frequency with the formula, for the reading of the period the distance is measured on the labeled screen and multiplied by the time base

         

            T = reading (cm) time base (s / cm)

            f = 1 / T

A parallel plate capacitor of capacitance Co has plates of area A with separation d between them. When it is connected to a battery of voltage Vo, it has charge of magnitude Qo on its plates. It is then disconnected from the battery and the plates are pulled apart to a separation 2d without discharging them. After the plates are 2d apart, the new capacitance and the potential difference between the plates are: (Show all steps) [2 marks] a. ½ Co, ½ Vo b. ½ Co, 2Vo c. Co, Vo d. Co, 2Vo e. 2Co, 2Vo

Answers

Answer:

b. 1/2·C₀, 2·V₀

Explanation:

The capacitance on the parallel plate capacitor = C₀

The area of the plates  = A

The voltage on the battery = V₀

The magnitude of the charge on the plate = Q₀

The new distance between the plates = 2·d

From an online physics source, we have;

[tex]C_0 = \epsilon_0 \times \dfrac{A}{d}[/tex]

Where;

ε₀ = Constant

A = The area of the plates

With the new distance, 2·d, we get;

[tex]C_{new} = \epsilon_0 \times \dfrac{A}{2\cdot d} = \dfrac{1}{2} \times \epsilon_0 \times \dfrac{A}{d} = \dfrac{1}{2} \times C_0[/tex]

Therefore;

[tex]The \ new \ capacitance \ C_{new} = \dfrac{1}{2} \times C_0[/tex]

The potential difference, 'V', is given as follows;

[tex]C = \dfrac{Q}{V}[/tex]

Therefore;

[tex]V = \dfrac{Q}{C}[/tex]

Given that Q = Q₀, we get;

[tex]V = \dfrac{Q_0}{\dfrac{1}{2} \times C_0} = 2 \times \dfrac{Q_0}{C_0} = 2 \times V_0[/tex]

∴ V = 2 × V₀

The new potential difference, V = 2·V₀

Therefore, after the plates are 2·d apart, the new capacitance and potential difference between the plates are;

1/2·C₀, 2·V₀.

At a distance of 2d, the potential difference will be twice the potential difference before while the capacitance will be half the value before.

Given to us

The capacitance on the parallel plate capacitor = C₀The area of the plate = AThe voltage on the battery = V₀The magnitude of the charge in the plate = Q₀The new distance between the plates = 2d

What is Capacitance?

We know capacitance can be written as,

[tex]C= \dfrac{\epsilon_0 A}{d}[/tex]

where C is the capacitance,

A is the area,

d is the distance and

ε₀ is the electrostatic constant,

Capacitance before,

[tex]C= \dfrac{\epsilon_0 A}{d}[/tex]

Capacitance Afterwards,

[tex]C= \dfrac{\epsilon_0 A}{2d}[/tex]

[tex]C=\dfrac{1}{2} \times \dfrac{\epsilon_0 A}{d}[/tex]

[tex]C=\dfrac{1}{2} \times C_0[/tex]

What is Voltage(Potential difference)?

We know that  for the voltage we can write,

[tex]\rm Voltage = \dfrac{Charge}{Capacitance}[/tex]

Voltage before

[tex]V=\dfrac{Q_0}{C_0}[/tex]

Voltage Afterwards

[tex]V_{new} = \dfrac{Q_0}{C_{new}}[/tex]

[tex]V_{new} = \dfrac{Q_0}{\dfrac{1}{2} \times C_0}[/tex]

[tex]V_{new} = 2 \times\dfrac{Q_0}{C_0}[/tex]

[tex]V_{new} = 2 \times V_0[/tex]

Hence, At a distance of 2d, the potential difference will be twice the potential difference before while the capacitance will be half the value before.

Learn more about Capacitance:

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Energy can enter and exit which of the following systems?
A. Both open and close
B. Both open and isolated
C. Open Only
C. Isolated only

Answers

Answer:

A. Both open and close

Explanation:

just took the test

Find the equivalent resistance of this
circuit.
Ri
R2
1002
2002
R3
600 12

Answers

Answer:

63016

Explanation:

Ri+R2+R3 this is called series circuit

Answer:

200

Explanation:

100+200=300

1/300+1/600=200

What makes the results of a scientific experiment accurate? (5 points)

Answers

Answer:

A measurement is reliable if you repeat it and get the same or a similar answer over and over again, and an experiment is reliable if it gives the same result when you repeat the entire experiment.

Explanation:

Answer: when you repeat it and get the same results

Explanation:

When a scientist repeats an experiment with a different group of people or a different batch of the same chemicals and gets very similar results then those results are said to be reliable. Reliability is measured by a percentage – if you get exactly the same results every time then they are 100% reliable.

NEED HELP The main difference between kinetic energy and potential energy is thatSingle choice.
(2 Points)

kinetic energy involves position, and potential energy involves motion.

kinetic energy involves motion, and potential energy involves position.

although both energies involve motion, only kinetic energy involves position.

although both energies involve position, only potential energy involves motion.

Answers

Answer:

kinetic energy involves motion, and potential energy involves position.

although both energies involve position, only potential energy involves motion.

hope it is helpful to you ☺️☺️✌️

Kinetic energy is motions and potential energy is stored up energy

Below is a single of DNA, What is the complementary base pair for RNA?
AGC, CGT, ATA, GAT

Answers

It’s GAT because I just learned about this

Elements in Group____are common alkaline earth metals.
Answer here

Answers

Answer:

Explanation:

k

Answer:

Explanation:

Group 2 consists of the elements in the second column. They all have a combining number (valence number) of 2+ after giving away 2 electrons.They start with Beryllium (element 4 in the periodic table)  and end with Radium (element 88 in the periodic table).

Which of the following refers to a force of resistance that acts on an object
when the object moves against other matter?
O A. Balanced force
B. Inertia
C. Friction
D. Contact force

Answers

The answer is D and by the way hi

Which of the following are true about electrons? a.) They are positively charged b.) They are negatively charged c.) They are found inside the nucleus d.) a & c

Answers

Answer:

A and C

Explanation:

BRAINLIEST PLS

Answer:

b

Explanation:

The answer is b.. because the charge of electrons is opposite to that of protons.. the combination of the equal number of protons and electrons has a total charge of zero(0)....

Which of the following could be included in your gamer's creed that would help keep gamers safe?
A. I will work hard and play harder. Games are my life.
B. I will use privacy features that gaming sites provide to ensure I do not share personal information with strangers.
C. I will do whatever I can to win games I play online.
D. I will share the game equally with my friends and family.
swered

Answers

Answer:

The answer is B. I will use privacy features that gaming sites provide to ensure I do not share personal information with strangers.

Explanation:

It keeps you safe online

Answer: the answer is b

Explanation:

sheet of paper and a ball having same mass are dropped from the same height and obviously paper balls faster than a sheet of paper. what conclusion can be drawn from this acticity?​

Answers

Answer:

In free fall, all items will fall at the same time. You were told that they have the same mass hence g×t which is constant.

Multiple Choice
Which is the best reason to be wary of those you talk to on the Internet?
A. They may not be who they say they are.
B. You don't know where they live.
C. You don't know their favorite foods.
D. They may not be in the same grade as you.

Answers

I would see a you get it right
A they might not be who they say they are

At the end of 3N force acts on the object during time interval of 1.5seconds with force acting towards right. A constant force of 4N to left is applied for 3seconds. What is the velocity at the end of the 3seconds ?

Answers

Answer:

v_f = -7.5 m / s

Explanation:

Let's analyze this exercise a little, two forces that act on a body for different time intervals are indicated, each force creates an impulse and since this is a vector quantity we must add in the form of vectors. The net momentum is

we assume that the direction to the right is positive

             I = I₁ + I₂

             I = F₁ Δt₁ - F₂ Δt₂

             I = 3  1.5 - 4  3

             I = -7.5   N s

now let's use the relationship between momentum and momentum, suppose the object starts from rest (vo = 0)

             I = Δp

             I = m (v_f - v₀)

             

             v_f = I / m

             

              v_f = -7.5 / m

to finish the calculation we must assume a mass m = 1 kg

              v_f = -7.5 m / s

the negative sign in the body is moving to the left

A 12-ohm resistor is connected in series with a 23-ohm resistor. They are placed across a 120-volt power source. What is the current in the circuit?

A) 35 amps

B) 10 amps

C) 5.2 amps

D) 3.4 amps

Answers

Answer:

3.43 A

Explanation:

Applying,

V = IR'.............. Equation 1

Where V = Voltage, I = current, R' = Total resistance

Make I the subject of the equation

I = V/R'........... Equation 2

From the question

Given: V = 120 volt, R' = (12+23) = 35 0hm

Substitute these values into equation 2

I = 120/35

I = 3.43 A

which feature is used to classify galaxies
age
color
shape
size

Answers

Answer:Shape

I took the quiz

Answer:shape

Explanation:

I took the quiz

The equation below is used to calculate the mechanical advantage of an ideal wheel and axle.


mechanical advantage =
wheel radius
__________
axle radius


A student compares two wheel-and-axle simple machines. Machine 1 has a wheel radius of 50 centimeters, and an axle radius of 10 centimeters. Machine 2 has a wheel radius of 100 centimeters, and an axle radius of 10 centimeters. What is true of these simple machines’ mechanical advantage?
A.
Machine 1’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 2.

B.
Machine 1’s mechanical advantage is greater, which means that this machine can move faster than Machine 2.

C.
Machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

D.
Machine 2’s mechanical advantage is greater, which means that this machine can move faster than Machine 1.

Answers

Answer:

b

Explanation:

Machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

Mechanical advantage

The term mechanical advantage is the ratio of the radius of wheel to the radius of the axle for a wheel and axle system.

The true statement about the two machines that were compared; 1 and 2 is that, machine 2’s mechanical advantage is greater, which means that this machine can do more work with less force than Machine 1.

Learn more about mechanical advantage:https://brainly.com/question/16617083

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How come we can see orange? In simple words.

Answers

Answer:

When sunlight shines through an orange solution, the violet, blue and green wavelengths are absorbed. The other colors pass through.

Un tanque de 50 litros tiene un gas a CNPT. ¿Cuánto valdrá la presión si la temperatura aumenta 40 °C, y el volumen permanece constante?

Answers

Answer:

La presion a 40 °C es 1.05 atm.

Explanation:

Usando la ecuación ideal de los gases.

[tex]PV=nRT[/tex]

Debemos recordar, que CNPT significa condiciones normales de presión y temperatura.

Para el primer estado tenemos:

[tex]P_{1}V_{1}=nRT_{1}[/tex]

Donde:

P(1) es la presion en el estado incial (1 atm)V(1) es el volumen incial (50 L)T(1) es la temperatura incial (25 °C = 298 K)

Para el segundo estado:

[tex]P_{2}V_{2}=nRT_{2}[/tex]

Donde:

P(2) es la presion en el estado final ( x atm)V(2) es el volumen final (50 L)T(2) es la temperatura final (40 °C = 313 K)

Como ambas ecuaciones tienen el mismo valor de volumen podemos igualarlas:

[tex]\frac{nRT_{1}}{P_{1}}=\frac{nRT_{2}}{P_{2}}[/tex]

n y R permanecen constantes, se puden cancelar.

[tex]\frac{T_{1}}{P_{1}}=\frac{T_{2}}{P_{2}}[/tex]

Despejamos P(2).

[tex]P_{2}=\frac{P_{1}T_{2}}{T_{1}}[/tex]

[tex]P_{2}=\frac{1*313}{298}[/tex]

[tex]P_{2}=1.05\: atm[/tex]

Espero te haya sido de ayuda!

Starting circuit One battery. 2 light bulbs in parallel; switch What is the voltage across the battery? What is the voltage across light bulb 1? What is the voltage across light bulb 2?​

Answers

Answer:

The voltage across light bulb 1 and light bulb 2 is the the same i.e V

Explanation:

In a parallel circuit, the Voltage is same across all the components of the circuit and the current flowing through each component is added to get the total current across the circuit.

Let us say, the voltage across the circuit is V. The voltage across light bulb 1 and light bulb 2 is the the same i.e V

Se dea caer una pelota de basquetbol desde una altura de 90 metros.Calcular: El tiempo en que demorara en caer y a velcidad con la que llega al suelo

Answers

Answer:

1. t = 4.24 s

2. [tex]v_{f} = 42.43 m/s [/tex]

Explanation:

Podemos encontrar el tiempo de caída con la siguiente ecuación:

[tex] v_{f} = v_{0} + gt [/tex]   (1)

En donde:

[tex] v_{f}[/tex]: es la velocidad final de la pelota  

[tex] v_{0}[/tex]: es la velocidad inicial = 0 (se deja caer)

g: es la aceleración debida a la gravedad = 10 m/s²

Debemos hallar primero la velocidad final. Podemos usar la ecuación:

[tex] v_{f}^{2} = v_{0}^{2} + 2gh [/tex]  (2)

En donde:

h: es la altura = 90 m

[tex] v_{f} = \sqrt{2gh} = \sqrt{2*10 m/s^{2}*90 m} = 42.43 m/s [/tex]

Entonces, la velocidad con la que la pelota llega al suelo es 42.43 m/s.

Ahora podemos encontar el tiempo que tarda en caer la pelota resolviendo la ecuación (1) para "t":

[tex] t = \frac{v_{f}}{g} = \frac{42.43 m/s}{10 m/s^{2}} = 4.24 s [/tex]

Por lo tanto, la pelota tarda 4.24 segundos en caer.

Espero que te sea de utilidad!

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Anybody wanna support some rap music? Check me out tell me what y'all think. Most laws passed during the middle-ages were those created by Kings & the Church, but during the Enlightenment legislatures such as Parliament began passing laws which we call ____________________________. can someone help me with this What did Jack and Jill promise to Prince Charmant?O They will eat all their vegetables.O They will not try to stop the wedding.O They will give him a present.O They will behave. What sequence of transformations, when applied to ABC , shows that ABC is similar to A B C ? dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left dilation with respect to the origin by a scale factor of 1 2 followed by a translation of 2 units right translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 1 2 translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 1 2 DNA: TAC GCG TAC CGG ATCmRNA: Amino acids: HELP[ Find the diameter and circumference 6.2 mi PLS HELP I NEED AN ANSWER PLS At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.Which of the following equations can be used to find the number of game tickets, g. Janine bought?O 0.509 + 2 = 15O2g +0.50 = 15O 0.50g - 2 = 15O 2g -0.50 = 15 What does BAC measure? A. The amount of alcohol in 5ounce drink. B. The amount of alcohol in ones blood. C. The amount of alcohol in ones liver. D. The amount of alcohol brain. Three dogs scout sparky and dusty are playing with a teddy bear. Scout and sparky are pullung the teddy bear to the left describe como an participado en la vida nacional los nuevos grupos sociales PLEASE HELP ME OUT! WILL GIVE BRAINLIEST FOR WHOEVER COMPLETES ALL OF THEM WITH AN ACCURATE ANSWER (NO LINKS OR YOU WILL BE REPORTED)Refusal Techniques For the following lab, you will try some simulated activities to help youpractice your refusal skills.Please identify a refusal technique to the side of each risky situation and explain how youwould use it in each situation:Risky Situation Refusal Technique How used in each situation:Unsupervised partyBridge jumpingSmoking marijuanaCar racing in the countrySkipping school 2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999? A dog, Skipper, is roaming around the neighborhood. Skipper passes one ofhis favorite spots and lifts his leg to urinate on a fire hydrant. Threesystems at work are: classify the pair of angles shown. HMP is isosceles triangle with base MP, also NPOM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP How can we compare the UK's natural resources to Russia's? What is rising temperatures Which of the following statements represents a correct and sequentially accurate economic explanation? a. If net exports rise, total expenditures on goods and services rises, and the AD curve shifts rightward. b. If investment increases, total expenditures on goods and services falls, and the AD curve shifts leftward. c. If consumption falls, total expenditures on goods and services falls, and the AD curve shifts rightward. d. If consumption falls, total expenditures on goods and services rises, and the AD curve shifts leftward. What is the midpoint of AB when A (-2, 5) and B (4, -5)?