11. Which of the following gives the correct relation between the acceleration due to gravity and period of a pendulum?
g = 2πLT2
g = 4π2LT2
g = 2πLT
g = 2π2LT

Please show all of your algebra.

Answers

Answer 1

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{l}{g}}[/tex]

Derive g

[tex]\\ \rm\rightarrowtail T^2=4\pi^2\dfrac{l}{g}[/tex]

[tex]\\ \rm\rightarrowtail g=\dfrac{4\pi ^2\ell}{T^2}[/tex]

[tex]\\ \rm\rightarrowtail g=\left(\dfrac{2\pi\sqrt{l}}{T}\right)^2[/tex]


Related Questions


what is the ionic compound of Ba(NO3)2

Answers

Answer:

Barium nitrate

true or false?

Electrons in a circuit move from the negative terminal of a battery toward the positive terminal.

Answers

Answer:

false

Explanation:

it moves from positive to negative

A coffee filter of mass 1.3 grams dropped from a height of 3 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy Kair did the air molecules gain from the falling coffee filter

Answers

Answer: .0380575J

Explanation:

The coffee filter originally only had potential energy, which can be found by:

PE = m * g * h → PE = .0013 * 9.8 * 3 = .03822 J

*Note the mass must be in kg!!!

All of this energy should be converted to kinetic energy, but the air molecules take some of the energy; the energy they gain can be found by finding how much energy the filter has at the bottom of its fall, and subtracting this from the original energy to see how much was lost;

All of the energy at the bottom equals kinetic energy, which can be found by:

KE = 1/2 * m * v^2 → KE = 1/2 * .0013 * .5^2 = .0001625 J

Thus, the air gained .03822 - .0001625 = .0380575J :)

A 50 kg object moving at 15 m/s collides with another 50 kg object moving in the same direction at 10 m/s. If the collision is inelastic, what is the final velocity of the two objects after they combine?

Answers

Answer:

12.5 m/s

Explanation:

By conservation of momentum, we have that:
[tex]\displaystyle m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'[/tex]

Because the two objects combine after collision, they will have the same velocity:

[tex]\displaystyle m_1v_1 + m_2v_2 = (m_1+m_2)v_f[/tex]

Substitute and solve for final velocity:

[tex]\displaystyle \begin{aligned} (50 \text{ kg})(15\text{ m/s}) + (50\text{ kg})(10\text{ m/s}) & = ((50+50)\text{ kg})v_f \\ \\ v_f & = 12.5\text{ m/s}\end{aligned}[/tex]

In conclusion, the final velocity of the system will be 12.5 m/s.

Which terrestrial planet exhibits retrograde rotation?.

Answers

Answer:

Planets that are farther from the sun than the earth (all but Mercury and Venus) will exhibit retrograde motion.

If the position of the planet is observed relative to the background stars, the planet will appear to move backward relative to the stars when the earth is moving in an Eastward direction faster than the planet, and the planet appears to move backwards relative to the stars

(The planet will be on the side of the earth that is opposite that of the sun)

If you wanted to melt ice, then heat it up, and get the water to just barely vaporize, how many equations would you need to solve for the energy used in this procedure?

Answers

Two equations will be needed to solve for the energy used in this procedure.

What is Energy?

This is defined as the ability or capacity to do work. Ice being converted to vapor requires energy and the equations are seen below:

H₂O₍s₎  ⇒ H₂O₍l₎

H₂O₍l₎ ⇒ H₂O₍g₎

These are the equations which are used to calculate energy with heat being involved in both reactions.

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A 4000 kg freight car moving at 3 km/hr collides and couples with an 8000 kg freight car which is initially at rest. the final speed of the combined cars is

Answers

Answer: 0.28 m/s (1 km/hr)

Explanation:

This is an inelastic conservation of momentum question.

First, convert the speed to m/s: 3 km/hr (1000m/1km)(1hr/3600s) = .83 m/s

Then, Momentum before = Momentum after;

Momentum before = m1v1 + m2v2 = 4000(.83) + 8000(0)

Momentum after: (m1 + m2)v3 → (4000 + 8000)v3

Set these equal: 4000(.83) = 12000v3 and solve to get: v3=.28 m/s :)

Complete the mechanism for the given decarboxylation by adding any missing atoms, bonds, charges, nonbonding electrons, and curved arrows

Answers

The decarboxylation reaction involves the removal and replacement of a carboxyl group with hydrogen.

What is a decarboxylation reaction?

A decarboxylation reaction is one in which the carboxyl group in a carboxylic acid is replaced with hydrogen.

In living organisms, decarboxylation reactions are catalyzed by enzymes called decarboxylases or carboxy-lyases.

The decarboxylation of beta-carbonyl esters proceeds through a cyclic transition state giving an enol intermediate which then tautomerises to the carbonyl.

Therefore, a decarboxylation reaction involves the removal and replacement of a carboxyl group with hydrogen.

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The decarboxylation reaction is given with the removal of the carbon dioxide from the carboxyl group.

What is carboxyl group?

The carboxyl group is the attachment of the OH and the =O functional group to the carbon atom.

In the decarboxylation reaction, there has been the removal of the carbon dioxide and the carboxyl group is replaces with the Hydrogen atom.

The decarboxylation reaction for the given reactant with the missing groups is given in the image attached.

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A piece of cheese is placed on a vertical spring of negligible mass and a force constant k = 2300 N/m that is compressed by a distance of 18.0 cm. How much elastic potential energy is stored in this system? (Answer in J)

Answers

Answer:

E = 1/2 K x^2        (1/2 *F * x * x)

E = 2300 / 2 N/m * (.18 m)^2 = 37.3 Joules

The quantity of elastic potential energy that is currently stored in the system is equal to 37.26 Joules (J).

We may use the formula for elastic potential energy to compute the amount of elastic potential energy that is stored in the system, which is as follows:

PE, or Elastic Potential Energy, is 0.5 times k times x squared.

where k represents the constant force that the spring exerts and x represents the amount of compression that the spring experiences.

Given:

The spring has a force constant of 2300 Newton-meters (k).

The spring was compressed (x) by 18.0 centimetres, which is equivalent to 0.18 metres when measured in metres.

To finish, enter the values into the formula as follows:

PE = 0.5 × 2300 N/m × (0.18 m)² PE = 0.5 × 2300 N/m × 0.0324 m² PE = 37.26 J

37.26 Joules (J) is the amount of elastic potential energy that is stored in the system.

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Phys-1A Horizontal Practice 2
Ground-to-Ground Equations
Horizontal Equations
Vicos
Vertical Equations
sin
ay earth).-9.8 m/s
Horizontal Launch Equations
Horizontal Equations
Vertical Equational
Velocity-as-Hits:
wv * , te
Use. Pythagorean Range
and tan (9)
Show work/use units !!
1. For each problem, solve for "?" and "?", and Velocity-as-it-Mits. Circle your final answers with units.
2.26, 226, 24.3 65.7
Vf, V+ay.t
wh25
V4.0
(Pythag. +
7+17,
tan
Velocity-as-Hits -
2. For each problem, solve for "7" and "?", and Velocity-as-it-Hits Circle your final answers with units.
2.02,742, 21.1 69.5
W.77
VF, VI+ ayt
VF,
Mercede
(Pythag.+ v
tan
Velocity-as-Hits -

Answers

So basically you, then, finally, you

4. Point B on a wheel of radius 40 cm that is rotating at a constant 5. 0 revolutions

per second is located 0. 20 m from the axis of rotation. Pont A is just at the border

of the wheel. See the figure.

a) What is the angular velocity of the wheel in rad/s?

b) What point has a greater linear speed, A or B? Calculate both speeds and

compare the results.

c) What are the centripetal accelerations of points A and B due to the spin of the

wheel? Sketch the situation and represent the vectors linear velocity and

centripetal acceleration in points A and B. Assume the rotation of the wheel

to be clockwise.

Answers

Answer:

SD

Explanation:

What is the tension of the string if the cylinder has an acceleration of

Answers

In physics, the tension on a suspended object said to be equal to the weight of the object plus or minus the mass of the object times the acceleration acting on it.

~ ISS

Hello people ~
Sound is a kind of
(a) work
(b) energy
(c) force
(d) pressure

Answers

Answer:

B. Energy

Explanation:

Sound is a kind of energy. In physics, sound is seen as anenergy that is generated through vibrations

Answer:

Energy

Explanation:

Sound is generated through the collison of atoms or particles .It travels through air,water,solid surfaces .Sound has its speed 344m/s in air.

What is the electric potential energy of a charge that experiences a force of 3. 6 × 10–4 N when it is 9. 8 × 10–5 m from the source of the electric field? 3. 5 × 10–8 J 4. 6 × 10–4 J 2. 7 × 10–1 J 3. 7 × 100 J.

Answers

The electric potential energy of the charge will be =3.5*10^8 J  

What is Electric potential energy?

Electric potential energy is the energy that is needed to move a charge against an electric field.

F=Force experienced by the charge = 3.6*10^-4 N

q1 = magnitude of charge producing the electric field

q2 = magnitude of charge experiencing the electric force

r1 = distance between the two charges

Electric force experienced by the charge is given using coulomb's law as

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

[tex]3.6\times 10^{-4}=\dfrac{9\times 10^9 q_1q_2}{(9.8\times 10^{-5})^2}[/tex]

[tex]q_1q_2=3.84\times 10^{-22}[/tex]

Electric potential energy of the charge can be given as

[tex]U=\dfrac{kq_1q_2}{r}[/tex]

[tex]U=\dfrac{(9\times 10^9)q_1q_2}{(9.8\times 10^{-5})^2}[/tex]

[tex]U=3.5\times 10^{-8}\ J[/tex]

Thus Electric potential energy of the charge can be given as [tex]U=3.5\times 10^{-8}\ J[/tex]

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Two blocks each of mass m are attached to the ends of a massless rod

Answers

The net torque on this system is (ml2g-ml1g)k

What is Torque?

This refers to the type of force that causes rotation in objects which has mass and is a twisting force

Based on the complete question, we can see the given parameters:

The torque due to farther mass above the pivot is ml2gk

The torque due to nearer mass about the pivot is ml1gk

Therefore, the net torque is (ml2g-ml1g)k

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The net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot, is (ml₂g-ml_₁g)\hat k.

What is torque?

The torque of a body is the rate of change of angular momentum of the body. Torque is the product of moment of inertia and the angular acceleration.[tex]\tau =I\times \alpha[/tex][tex]\tau=mlg[/tex]

Here, (I) is the moment of inertia and (α) is the angular acceleration.

Two blocks each of the mass m are attached to the ends of a massless rod which pivots as shown in fig.

Initially, the rod is held in the horizontal position and then released. When, the mass was kept at farther to pivot, then the value of torque is,

[tex]\tau=ml_2g\hat k[/tex]

When, the mass was kept at nearer to pivot, then the value of torque is,

[tex]\tau=-ml_1g\hat k[/tex]

Thus, the net torque on this system above pivot is,

[tex]\tau=ml_2g\hat k+(-ml_2g\hat k)\\\tau=(ml_2g-ml_1g)\hat k[/tex]

Thus, the net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot is (ml₂g-ml_₁g)\hat k.

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Based on the first law of thermodynamics, the energy gained by a system is _____ the energy lost by the surroundings.

Answers

Based on the first law of thermodynamics, the energy gained by a system is equal to the energy lost by the surroundings.

Laws of thermodynamics

The laws of thermodynamics can be summarised as follow

The first law states that energy can neither be created nor destroyed. The second law states that the entropy of the universe will always increase for every spontaneous process. The third law states that for a perfect crystal at zero Kelvin, the entropy is zero.

From the laws given above precisely the first law, we can conclude that the energy gained by a system is equal to the energy lost by the surroundings

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Knowing the direction of heat flow, explain why if you leave a hot bowl of soup out in the open on the countertop, it eventually gets cold. Where is the heat going?

Answers

The heat will flow towards the air surrounding the soup bowl and towards the countertop below the bowl.

Where does the heat go?

We know that when two bodies of different temperatures there will be a flow of heat between the objects, from the hotter one to the colder one.

In this case, we have the bowl of soup as the hot object, and the ambient (the countertop, the air surrounding the bowl, etc) itself will be the cooler object.

Then the heat will flow towards the air surrounding the soup bowl and towards the countertop below the bowl.

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If a number of coplanar forces acting on a particle are in equilibrium, then

Answers

Explanation:

Then the algebraic sum of the moment of all the forces about any point is equal to the moment of the resultant force about the same point

If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.

What is the law of moments?

If a number of co-planar forces operating on a particle are in equilibrium, the algebraic sum of their moments about any point equals the moment of their resultant force about the same point, according to the law of moments.

Hence If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.

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Which scientist received a nobel prize for the discovery of x-rays?.

Answers

Answer:

That's Rontgen

Explanation:

Wilhem Rontgen

When a 10-V battery is connected to a resistor, 2 A of current flow in the resistor. What is the resistor's value

Answers

Hi there!

We can use Ohm's law to solve:
[tex]V = IR[/tex]

V = Potential Difference (V)
I = Current (A)
R = Resistance (Ω)

We can rearrange the equation to solve for resistance:

[tex]R = \frac{V}{I}[/tex]

Plug in the given values to solve.  

[tex]R = \frac{10}{2} = \boxed{5 \Omega}[/tex]

.
Which object has a constant speed?

a bicycle coming to a stop
a racecar starting a race
a ball falling off a table
a car traveling the speed limit

Answers

A car traveling the speed limit. Constant speed doesn’t have acceleration.

It wouldn’t be the first option because the bicycle is stopping.

Not the second because when a race car starts a race, they accelerate incredibly to begin driving the second they’re allowed to

Thunder is heard 7.2 seconds after a bolt of lightning is observed. if the speed of sound is 349 m/s, how far away did the lightning strike?

Answers

Answer:

2512.8 meters

Explanation:

s=d/t

by using speed formula

How much energy does a pair of hair straighteners transfer every second

Answers

Answer:

It depends...

Explanation:

If you know how much watts the pair of hair straighteners use, you can use that as the energy every second. A normal flat iron for hair would be 300 watts, so we could say that it uses 300 jolts or watts of energy per second.

dont use me for points please i need help, (circuits for physics)

Answers

Answer:

B, A, A, B

Explanation:

Just trust me on this one.

Hey sid what do you say what do want to learn today? sid the science kid

Answers

Answer:

I LOVED that show when I was 10

Explanation:

Answer: I want to learn about Raid Shadow Legends

Explanation: Please Mark Brainliest W!

What is the thoery of Newton?

Answers

Answer:

apple fall on his head, then he discovers gravity. Law of motion

Explanation:

Answer:

gravity is the theory of Newton.

Explanation:

The reason for this is because one day he was sitting under the apple tree and an apple fell on top of his head. So he wanted to figure out what had caused the apple to fall on his head.

A uniform rod of length l and mass m is pivoted around a line perpindicular to the rod at location l/3

Answers

Answer:

I for a rod about its center is I = M L^2 / 12

A = L (1/2 - 1/3) = L / 6     distance from middle to location L/3

A^2 = L^2 / 36

I = M L^2 (1/12 + 1/36) = M L^2 (4 / 36) = M L^2 / 9

I about given location by parallel axis theorem


Which choice most accurately traces the flow of electrons in the circuit?

this is wrong
Electrons move counterclockwise from side B of the battery to side A of the battery through each lightbulb.​

Answers

Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source is accurate about Electron flow.

What is electron flow?

Electron flow is the current produced by the movement of free electrons moving along a positive terminal; the direction of electron flow is opposite to that of current.

Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source.

Therefore, Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source is accurate about Electron flow.

Learn more about Electron flow here.

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The driver of a pickup truck accelerated at a rate of -5 m/s2 in 2.0 seconds. What was his net change in velocity?

Answers

Explanation:

a= -5m/s^2 t=2s

a= v-u

-------

t

at=v-u

(-5x2)

= -10m/s

How does energy affecf a wave?

Answers

The energy transported by a wave is directly proportional to the square of the amplitude. So whatever change occurs in the amplitude, the square of that effect impacts the energy. This means that a doubling of the amplitude results in a quadrupling of the energy.
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