BRAINLEST FOR CORRECT ANSWER PLEASE

Which has more momentum: a 3 kg sledgehammer swung at 1.5 m/s OR a 4 kg sledgehammer swung at 0.9 m/s? SHOW YOUR WORK

Answers

Answer 1

Answer:

Sledgehammer A has more momentum

Explanation:

Given:

Mass of Sledgehammer A = 3 Kg

Swing speed = 1.5 m/s

Mass of Sledgehammer B = 4 Kg

Swing speed = 0.9 m/s

Find:

More momentum

Computation:

Momentum = mv

Momentum sledgehammer A = 3 x 1.5

Momentum sledgehammer A = 4.5 kg⋅m/s

Momentum sledgehammer B = 4 x 0.9

Momentum sledgehammer B = 3.6 kg⋅m/s

Sledgehammer A has more momentum


Related Questions

You take a couple of capacitors and connect them in series, to which you observe a total capacitance of 4.8microfarads. However, when you connect them in parallel their combined capacitance is 35microfarads. Determine the value of each capacitor.

Answers

Answer:

C₁ = 34.8 μF

C₂ = 0.2 μF

Explanation:

When the capacitors are connected in series their resultant capacitance is given by the formula:

Cs = 1/C₁ + 1/C₂

where,

Cs = Series equivalent capacitance = 4.8 μF

C₁ = Capacitance of 1st Capacitor

C₂ = Capacitance of 2nd Capacitor

Therefore,

4.8 μF = 1/C₁ + 1/C₂

(4.8 μF)(C₁ C₂) = C₁ + C₂   --------------- equation 1

When the capacitors are connected in parallel their resultant capacitance is given by the formula:

Cp = C₁ + C₂

where,

Cp = Parallel equivalent capacitance = 35 μF

Therefore,

35 μF = C₁ + C₂   -------------- equation 2

solving equation 1 and equation 2 simultaneously, we get:

C₁ = 34.8 μF

C₂ = 0.2 μF

How do lenses and mirrors compare in their interactions with light?
A. Lenses spread light apart; mirrors do not.
B. Lenses bounce light from their surface; mirrors do not.
C. Lenses bring light to a point; mirrors do not.
D. Lenses bend light as it passes through; mirrors do not.

Answers

Answer:

B.lenses bounce light from their surface, mirrors do not

The table shows the relationship between the masses of two objects, the distance between the two objects, and the gravitational force between the objects. A 4-column table with 5 rows. The first column labeled Mass of Object 1 (kilograms) has entries 1, 2, 2, 3, 9. The second column labeled Mass of Object 2 (kilograms) has entries 1, 1, 2, 3, 3. The third column labeled Distance between Objects 1 and 2 (meters) has entries 1, 1, 2, 1, 3. The fourth column labeled Gravitational Force Objects 1 and 2 (Newtons) has entries 1 G, 2 G, 1 G, 9 G, 3G. Which conclusion is supported by the data in the table? An increase in the mass of an object causes the same decrease in the gravitational force. An increase in the distance between the objects causes the same decrease in the gravitational force. An increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass. An increase in the mass causes a greater change in the gravitational force than the same increase in the distance between the objects. Brainlyest for correct answer!

Answers

Answer:

C

Explanation:

edge 2020... Using elimination it's the only one that makes sense.

The statement third "an increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass" is correct.

What is gravitational force?

The gravitational force is a force that attracts all mass-bearing objects. The gravitational force is referred to as attractive because it always strives to pull masses together rather than pushing them apart.

As we know, the gravitational force is given by:

\(\rm F = \dfrac{Gm_1m_2}{r^2}\)

Where, G is the gravitational constant.

m1 and m2 are masses.

r is the distance between the masses.

From the data given in the table, shows that:

The gravitational force is indirectly proportional to the square of the distance.

Thus, the statement third "an increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass" is correct.

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1. For an object to gain energy ____ must be done on the object

2. When an object falls, it’s potential energy ______.

3. When an object gets further from the ground, it’s potential energy _____.

Answers

Answer:

Hello There!!

Explanation:

The answers are possibly:

1.Work

2.Increases

3.D.ecreases

hope this helps,have a great day!!

~Pinky~

\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)

1. Work

2. Increases

3. Decreases

thanks Hope it helps.

Is a bow and arrow by themselves potential or kinetic?

Answers

Answer:

Potential energy

Explanation:

When the string is released, the potential energy is converted to kinetic energy in the movement of the arrow. The string pushes the arrow out and is the driving force behind the motion.

It is potential energy until u pick it up and fire an arrow.

PLEASE HELP!

1. Terry kicks a soccer ball that is sitting motionless on the field. What is the best description of the energy transfer? (1 point)

A. Kinetic energy is transferred from the soccer ball to Terry's foot

B. Kinetic Energy is Transferred from Terry’s foot to the soccer ball.

C. Kinetic Energy in Terrys Foot is changed to potential energy in the Soccer ball

D. Potential energy is transferred from Terry’s foot to the Soccer ball

2. Which of the Following scenarios best shows the transfer of kinetic energy?

A. a Baseball bat strikes a baseball

B. A baseball player holds a baseball at their side

C. a baseball sits on a bench

D. a baseball flies through the air

3.

A bowling ball is traveling at 7 6 meters per second when it hits a pin. If the bowling ball has a mass of 6 kilograms, how much kinetic energy does it have when it hits the pin?

KB = m²

A. 173.28 J

B. 228 J

C. 346.65 J

D. 693 12 J

4. What happens when a tennis racket hits a ball?

A. Kinetic energy is created.

B. Potential energy in the racket is transferred to the ball.

C.Kinetic energy is transferred from the ball to the racket.

D.Kinetic energy is transferred from the racket to the ball.

Answers

Answer:

1. B. Kinetic energy is transferred from Terry's foot to the soccer ball.

2. A. A baseball bat strikes a baseball.

3. A. 173.28J

4. D. Kinetic energy is transferred from the racket to the ball.

Explanation:

I took the quiz and got 100%

Answer:

1. Kinetic energy is transferred from Terry's foot to the soccer ball.

2. A baseball  bat stricks a baseball

3. 173.28

4. kinetic energy is transferred from the racket to the ball

5. 1,102.5 J

remember to keep the decimal on the last one

Explanation: They added another question so I decided to give the answer to those who had it.

The Boring Company has proposed transporting people between Los Angeles and San Francisco, a distance of 540 km, through an underground tube from which the air has been removed to eliminate air drag. Small pods carrying four passengers would accelerate at 2.5 m/s2 until reaching a speed of 330 m/s. Later they would brake at 1.5 m/s2. A launch of one pod per minute would transport 240 passengers per hour, roughly equivalent to one jet plane per hour.

Answers

Answer:

235 km/s2

Explanation:

cus mall pods carrying four passengers would accelerate at 2.5 m/s2 until reaching a speed of 330 m/s.

Final answer:

This question is about the acceleration and braking calculations for pods proposed by The Boring Company to transport people between Los Angeles and San Francisco.

Explanation:

Physics - High School

The subject of this question is Physics, specifically dealing with the concept of motion and acceleration. The question presents a scenario where The Boring Company proposes transporting people between Los Angeles and San Francisco in underground tubes using small pods. The question asks for the acceleration and braking calculations for the pods.

Acceleration:

Given: Initial velocity (v0) = 0 m/s, Final velocity (v) = 330 m/s, and Acceleration (a) = 2.5 m/s2Use the formula: v = v0 + a x t, where t is the time taken to reach v.Rearrange the formula to solve for t: t = (v - v0) / aSubstitute the given values into the formula to calculate t: t = (330 - 0) / 2.5 = 132 seconds

Braking:

Given: Initial velocity (v0) = 330 m/s, Final velocity (v) = 0 m/s, and Acceleration (a) = -1.5 m/s2Follow the same steps as for acceleration, using the given values to calculate t.

By finding the time taken for acceleration and braking, you can determine the total travel time for one pod.

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A baseball fan is 196.0 m from home plate. If the temperature at the ball field is 24.6°C, how much time
elapses between the instant the fan sees the batter hit the ball and the moment the fan hears the sound?
S

Answers

The time elapses between the instant the fan sees the batter hit the ball and the moment the fan hears the sound will be 6.5333333 x 10⁷ sec.

The given data:

Time is referred as the ratio of distance and speed of light. which can be expressed as:

t=d/c

Where, t is time and c is speed.

Distance =196m

c =speed of light .

Put the values of given data in given formula:

c= speed of light = 3 x 10⁸m/s

t= 196/[3 x 10⁸]

=6.5333333 x 10⁷ sec

Therefore, the time will be 6.5333333 x 10⁷ sec

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What game has worst Physics?​

Answers

Answer:

Cyberpunk has worst Physics

why do astronauts weigh less on the moon than on earth

Answers

Answer:

Explanation: The moon of the Earth is much lighter in mass than the planet itself. In addition to being smaller than Earth, the Moon is also only approximately 60% as dense. A human weighs less on the Moon because there is less gravitational attraction there than there is on Earth.

Moon has lesser mass as conpared to earth, therefore gravitational force exerted by moon on any object is lesser than that of gravitational force exerted by earth on the same object, hence we can say that astronauts weight less on moon, i.e approximately 1/6 th of their weight on earth.

An important problem that all electric circuits have is the fact that since current is flowing through the traces connected the components, the circuit is generating a complex magnetic field during operation. You can shield electric fields pretty easily using a Faraday cage, but how do you shield your device from the magnetic field it is generating itself

Answers

Answer:

grid or metal sheets or metal foams

Explanation:

Electric and magnetic fields are generated in electrical circuits that often cause interference in the measurements made.

To avoid these interferences, shields are generally used for the electric fields, Farday boxes are used, which are metal grids connected to earth.

For the magnetic field there is also a grid or metal sheets or metal foams,

It should be noted that the gaps in the screening must be smaller than the wavelength of the radiation to be screened.

a man of mass 60kg jumps onto a boat B which has mass 80kg. If he has a horizontal component of velocity 3m/s relative to the boat, just before he enters the boat, and the boat is travelling at speed 2m/s away from the pier when he makes the jump, find the resulting velocity of the man and boat

Answers

The velocity of the man and boat after the jump is 2.57 m/s.

What is velocity?

The rate at which the position of an item changes with respect to time is expressed as a vector quantity called velocity. It is a way to gauge how fast and which way an object is moving. In other terms, velocity is the rate at which an object is moving in a particular direction.

How do you determine it?

The concept of conservation of momentum, which asserts that the overall momentum of a closed system stays constant in the absence of external forces, must be used to solve this issue.

The system's overall momentum is initially: before the man gets onto the boat.

p1 = m1v1 + m2v2

where m1 is the man's mass, v1 is his starting speed (3 m/s horizontally), m2 is the boat's mass, and v2 is the boat's speed (2 m/s away from the pier).

p1 = (60 kg)(3 m/s) + (80 kg)(2 m/s)= 360 kg m/s

The two objects merge into a single system when the man jumps onto the boat, and their combined motion is:

p2 = (m1 + m2) v

where v represents the speed of the boat and guy after the jump.

We can equate the two expressions and find v since p1 = p2 follows the law of conservation of momentum:

P1 equals P2 (60 kg)(3 m/s) + (80 kg)(2 m/s) = (60 kg + 80 kg) v

360 kg m/s = 140 kg v

v = 2.57 m/s

As a result, the man's and boat's final speed after the jump is 2.57 m/s.

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Describe an experiment to find the density of copper turning using a density bottle and kerosene

Answers

The density is the ratio of mass to volume of a substance.

What is the density bottle?

The density bottle is used to obtain the density of  substance by measuring the volume of the fluid displaced.

If the mass of copper turnings are previously weighed and known, the volume of the fluid displaced in the density bottle is the volume of the copper turning.

Hence;

Density = mass/ volume

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What freedoms or rights do you value the most?

Answers

Answer:

Freedom of opportunity

Freedom of worship

Freedom of speech

Freedom of association

Freedom to work

Freedom to learn

Explanation:

need answer and showed work to question number 1

Answers

Answer:

can u show question 1?

Explanation:

What is a hormone but not related to stress
?

Answers

Answer:

adrenaline cortisol

Explanation:

what specific heat capacity of a silver metal if 55.0 g of absorbs 197.9 joules of heat and the temp rises 15 degrees Celsius?

Answers

The specific heat capacity of silver is {c} = 0.24 J/(kg °C).

What is specific heat capacity?

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases by 1 °C. Its units are J/(kg °C).

Given is that 55g of silver absorbs 197.9 joules of heat and the temperature rises by 15 °C.

Mathematically, we can write the specific heat capacity as -

Q = mcΔT

where -

{Q} → heat energy

{m} → mass

{c} → specific heat capacity

{ΔT} → change in temperature

We can write -

Q = mcΔT

197.9 = 55 x (15 - 0) x c

197.9 = 55 x 15 x c

c = 197.9/825

{c} = 0.24 J/(kg °C)

Therefore, the specific heat capacity of silver is {c} = 0.24 J/(kg °C).

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What is the potential energy of a 7kg object 4m off the ground ?

please show your work

Answers

Answer:

Gravitational potential energy is mass of the object times the gravitational constant times the height of the object:

U = mgh (I will use 10 for the gravitational constant but you can use 9.8 or 9.81 or something even more accurate)

U = 280

The gravitational potential of the object is 280 joules

explain the principle of N-type semiconductor​

Answers

Answer:

Explanation:

An N-type semiconductor is a type of material used in electronics. It is made by adding an impurity to a pure semiconductor such as silicon or germanium. The impurities used may be phosphorus, arsenic, antimony, bismuth or some other chemical element. They are called donor impurities

Starting from rest, a car accelerates at 2.2 m/s2 up a hill that is inclined 5.2 ∘ above the horizontal. How far horizontally has the car traveled in 13 s ?

Answers

The horizontal distance travelled by the car in the given time period of 13 seconds is determined as 168.3 m.

What is the horizontal distance travelled by the car?

The horizontal distance travelled by the car is calculated as follows;

s = ut + ¹/₂acosθ(t²)

where;

v is the final horizontal speed of the caru is the initial horizontal speed of the cara is the acceleration of the cart is the time of motion of the carθ is the angle of inclination of the plane

s = 0  +  ¹/₂(2) x cos(5.2) x (13)²

s = 168.3 m

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What is moral duty?Please tell me the answer of this question. ​

Answers

Explanation:

Moral duties are the duties performed by the people on the basis of humanity and moral values. The following are some of the moral duties :

Respecting elders and loving juniorsHelped the needy , poor and helpless peopleHaving friendly behavior with othersRespecting everyone as human beingBeing obedient and respectful to parents , elderly people and teachers.Living ideal and respectful life

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You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?

Answers

Answer:

Explanation:

A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:

Output force = Weight of object = m * g

where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:

Output force = 15 kg * 9.81 m/s^2 = 147.15 N

Therefore, the output force required to lift a 15 kg object would be 147.15 N.

B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.

C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:

Mechanical advantage = Output force / Input force = 40 N / 10 N = 4

So, the ramp multiplies your force by a factor of 4.

Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.

Each rarefraction on a longitudinal wave correspond to what point on a transverse wave?

Answers

Answer: In a longitudinal wave, the crest and trough of a transverse wave correspond respectively to the compression, and the rarefaction. A compression is when the particles in the medium through which the wave is traveling are closer together than in its natural state, that is, when their density is greatest.

The rainbow of visible colors in the electromagnetic spectrum varies continuously from the longest wavelengths (the reddest colors) to the shortest wavelengths (the deepest violet colors) our eyes can detect. Wavelengths near 655 nm are perceived as red. Those near 515 nm are green and those near 475 nm are blue. Calculate the frequency of light (in Hz) with a wavelength of 655 nm, 515 nm, and 475 nm.
HINT
(a)
655 nm
Hz
(b)
515 nm
Hz
(c)
475 nm
Hz

The rainbow of visible colors in the electromagnetic spectrum varies continuously from the longest wavelengths

Answers

Answer:

The frequency of light can be calculated using the formula:

`c = λv`

Where `c` is the speed of light in a vacuum, `λ` is the wavelength of light, and `v` is the frequency of light.

The speed of light in a vacuum is `3.00 × 10^8 m/s`.

To convert the wavelength from nanometers to meters, we need to divide by `1 × 10^9`.

Thus, the frequency of light with a wavelength of 655 nm is:

`v = c/λ`

`v = (3.00 × 10^8 m/s)/(655 × 10^-9 m)`

`v = 4.58 × 10^14 Hz`

Therefore, the frequency of light with a wavelength of 655 nm is `4.58 × 10^14 Hz`.

Similarly, the frequency of light with a wavelength of 515 nm is:

`v = c/λ`

`v = (3.00 × 10^8 m/s)/(515 × 10^-9 m)`

`v = 5.83 × 10^14 Hz`

Therefore, the frequency of light with a wavelength of 515 nm is `5.83 × 10^14 Hz`.

Finally, the frequency of light with a wavelength of 475 nm is:

`v = c/λ`

`v = (3.00 × 10^8 m/s)/(475 × 10^-9 m)`

`v = 6.32 × 10^14 Hz`

Therefore, the frequency of light with a wavelength of 475 nm is `6.32 × 10^14 Hz`.

So, the frequency of light with a wavelength of 655 nm is `4.58 × 10^14 Hz`, the frequency of light with a wavelength of 515 nm is `5.83 × 10^14 Hz` and the frequency of light with a wavelength of 475 nm is `6.32 × 10^14 Hz`.

You see a boat sitting at the end of a dock. Ten minutes later you see the same boat in a cove to the right of the dock. You did not see the boat move.
However, you know that the boat moved because its
relative to the dock changed.

Answers

The boat must have moved, despite not being seen to move, because its relative position to the dock has changed. This phenomenon is known as relative motion .

Everything is always in motion, but the way we perceive it depends on our frame of reference.

In this scenario, the dock was the frame of reference for the initial position of the boat. When the boat moved to the cove, its position relative to the dock changed, and the dock was no longer an appropriate frame of reference. The boat's motion is now relative to the cove instead.

It is important to note that relative motion depends on the chosen frame of reference. If we were to choose the boat as the frame of reference, then it would be the dock that appears to move, not the boat. This is because motion is always relative to a chosen frame of reference.

In conclusion, the boat must have moved because its position relative to the dock changed. The concept of relative motion reminds us that motion is always relative to a chosen frame of reference, and that the way we perceive motion depends on our chosen frame of reference.

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David an his father sat at the end of a seesaw from the pivot. The weight of David and his dad is 400N and 700N respectively. Where should David's mother sit in order to balance the seesaw. The weight of David's mother is 600N.

Answers

Answer:

9,600 thank u

Explanation:

because blah blah blah

Fill in the blank with the correct response.

Light striking a mirror at a 45° angle will be reflected at a

Answers

It would also be reflected back at a 45 degree angle

What is curved space?

Answers

Curved space often refers to a spatial geometry which is not "flat", where a flat space is described by Euclidean geometry. Curved spaces can generally be described by Riemannian geometry though some simple cases can be described in other ways.

A light spring with a spring constant of 102.0 N/m rests vertically on the table, as shown in (a) below. A 1.75 g balloon is filled with helium (0°C and 1 atm pressure) to a volume of 4.92 m3 and connected to the spring, causing the spring to stretch, as shown in (b) below. How much does the spring stretch when the system is in equilibrium. (The density of helium is 0.179 kg/m3. The magnitude of the spring force equals kΔx.)

Answers

If the light spring is stretched with a spring constant of 102 N/m then, the elongated length of the spring will be 0.48 meters.

What is Spring constant?

Spring constant is the force which is needed to stretch or press a spring, divided by the distance that the spring gets longer or shorter.

Given,

Spring constant of light spring k = 102.0N/m

mass of balloon m = 1.75g = 1.75 × 10⁻³ Kg

Density of helium (He) = 0.179 kg/m

Density of air = 1.204 kg/m³

Volume of balloon/helium V = 4.92 m³

We have 3 forces acting on the spring, two directed downward, one upward. Downward forces are the weight of the balloon and weight gas inside it. of the helium

Upward force is the buoyant force. helium is of lesser density. air.

Now, Fnet = mg + e(He) vg - Ve(air)g

Fnet = g[m + v(e(He)-e(air))]

Fnet = 9.8 (1.75 × 10⁻³+ 4.92(0.179-1.204))

Fnet = 9.8(0.00175 + (-5.04125))

Fnet = 9.8 × -5.04125

Fnet = -49.40 N

The elongation of the spring = IFnetI/ K

Length = 49.40/ 102

Length of spring = 0.48 meters

Therefore, the elongated length of the spring will be 0.48 meters.

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Two pendulums have the same dimensions (length {L}) and total mass (m). Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B, half the mass is in the ball and half is in the uniform bar.
1. Find the period of pendulum A for small oscillations.
2. Find the period of pendulum B for small oscillations.

Answers

Answer:

1) \(T_{A} = 2\pi\cdot \sqrt{\frac{l}{g} }\), 2) \(T_{B} \approx 1.137\cdot T_{A}\), where \(T_{A} = 2\pi\cdot \sqrt{\frac{l}{g} }\).

Explanation:

1) Pendulum A is a simple pendulum, whose period (\(T_{A}\)) is determined by the following formula:

\(T_{A} = 2\pi\cdot \sqrt{\frac{l}{g} }\) (1)

Where:

\(l\) - Length of the massless bar.

\(g\) - Gravitational acceleration.

2) Pendulum B is a physical pendulum, whose period (\(T_{B}\)) is determined by the following formula:

\(T_{B} = 2\pi \cdot \sqrt{\frac{I_{O}}{m\cdot g\cdot l} }\) (2)

Where:

\(m\) - Total mass of the pendulum.

\(g\) - Gravitational acceleration.

\(l\) - Length of the uniform bar.

\(I_{O}\) - Moment of inertia of the pendulum with respect to its suspension axis.

The moment of inertia can be found by applying the formulae of the moment of inertia for a particle and the uniform bar and Steiner's Theorem:

\(I_{O} = \frac{1}{2} \cdot m\cdot l^{2}+\frac{1}{24}\cdot m\cdot l^{2} + \frac{3}{4}\cdot m\cdot l^{2}\)

\(I_{O} = \frac{31}{24}\cdot m\cdot l^{2}\) (3)

By applying (3) in (2) we get the following expression:

\(T_{B} = 2\pi \cdot \sqrt{\frac{\frac{31}{24}\cdot m \cdot l^{2} }{m\cdot g \cdot l} }\)

\(T_{B} = 2\pi \cdot \sqrt{\frac{31\cdot l}{24\cdot g} }\)

\(T_{B} = \sqrt{\frac{31}{24} } \cdot \left(2\pi \cdot \sqrt{\frac{l}{g} }\right)\)

\(T_{B} \approx 1.137\cdot T_{A}\)

1. The period of pendulum A for small oscillations is  

\(T_A=2\pi\sqrt{\dfrac{L}{g}}\)

2. The period of pendulum B for small oscillations.

\(T_B=1.137.T_A\)

What is simple harmonic motion?

Simple harmonic motion is the periodic motion or back and forth motion of any object with respect to its equilibrium or mean position. The restoring force is always acting on the object which try to bring it to the equilibrium.

1) Pendulum A is a simple pendulum, whose period () is determined by the following formula:

\(T_A=2\pi\sqrt{\dfrac{L}{g}}\)

Where:

l - Length of the massless bar.

g - Gravitational acceleration.

2) Pendulum B is a physical pendulum, whose period () is determined by the following formula:

\(T_A=2\pi\sqrt{\dfrac{I_o}{mgl}}\) .............................2

Where:

m - Total mass of the pendulum.

g - Gravitational acceleration.

l - Length of the uniform bar.

Io- Moment of inertia of the pendulum with respect to its suspension axis.

The moment of inertia can be found by applying the formulae of the moment of inertia for a particle and the uniform bar and Steiner's Theorem:

\(I_o=\dfrac{1}{2}ml^2+\dfrac{1}{24}ml^2+\dfrac{3}{4}ml^2\)

\(I_o=\dfrac{31}{24}ml^2\)..................................3

By applying (3) in (2) we get the following expression:

\(T_B=2\pi\sqrt{\dfrac{\frac{31}{24}ml^2}{mgl}\)

\(T_B=2\pi\sqrt{\dfrac{31l}{24g}}\)

\(T_B=\sqrt{\dfrac{31}{24}}. (2\pi\sqrt{\dfrac{l}{g}})\)

\(TB=1.137.T_A\)

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