If the period of oscillation of a simple pendulum is 4s, find its length. If the velocity of the bob
at the mean position is 40cms−1
, find its amplitude. (take gravity = 9.81ms−2

Answers

Answer 1

Answer:

Explanation:

Because we assume the pendulum is a "mathematical pendulum" (neglecting the moment of inertia of the bob), we can find:

[tex]T=2\pi\sqrt{\frac{L}{g}} \rightarrow 4=2\pi\sqrt{\frac{L}{9.81}} \rightarrow \frac{4}{\pi^{2}}=\frac{L}{9.81} \rightarrow L \approx 3.97 m[/tex]

By using the [tex]y=A\sin(\omega t) \rightarrow v = \frac{dy}{dt}=\omega A \cos\omega t = \omega\sqrt{A^{2}-y^{2}}[/tex]

The mean position is the position when y = 0, so:

[tex]\omega = \frac{2\pi}{T}=\frac{2\pi}{4}=0.5\pi[/tex] rad/s

and [tex]v = \omega A \rightarrow A=\frac{40}{0.5\pi}=\frac{80}{\pi}[/tex] in centimeters (cm).


Related Questions

What role does your chosen reaction play in your life? Combustion

Answers

Answer:

When fuels burn in combustion reactions, they release useful thermal energy (heat). Combustion reactions are used to heat our homes, power most cars, and to generate a lot of our electricity.

Energy production from the reaction is what drives life and human greed. We stay alive by eating carbon-rich compounds, which are then burned in a spectacularly controlled and efficient manner to provide us with energy. It is the all-important energy term in the combustion equation that has made life on Earth possible

Jaden rides his motorcycle at an average speed of 21 meters/second for 520 seconds , how far did he ride?

Answers

Answer:

10,920 meters

Explanation:

distance = speed × time

which is, d = 21 × 520

Answer:

10920

Explanation:

distance traveled= 21 (speed) ×520 (time)

=10920

During a phase change,the temperature remains constant although heat is still being added. what is the best explanation for what the heat energy is being used to do

Answers

During the phase change in which heat is being added but the temperature remains constant, the heat energy is used to break the bonds in the molecules.

What is a phase change?

A phase change is the conversion of one state of matter to another. e.g. solid to liquid or liquid to gas.

Substances can exists in three states namely;

solidgaseousliquid

In a change of phase, heat energy is needed to break the existing bonds between the molecules of the initial state. For example, heat energy is needed to break the bonds of ice to form water.

However, during this phase change, the temperature remains constant.

Therefore, during the phase change in which heat is being added but the temperature remains constant, the heat energy is used to break the bonds in the molecules.

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1. how does a waveform change when you increase the frequency?
2. how does the sound change when you increase the frequency of the waveform?
3. how does the waveform change when you decrease the frequency?
4. how does the sound change when you decrease the frequency?
pls help

Answers

Answer:

1.Wave frequency is the number of waves that pass a fixed point in a given amount of time. The SI unit for wave frequency is the hertz (Hz), where 1 hertz equals 1 wave passing a fixed point in 1 second. A higher-frequency wave has more energy than a lower-frequency wave with the same amplitude.

Select all the correct answers.
A worker is holding a filled gas cylinder still. Which two sentences are true about the energy of the filled gas cylinder?
it has no energy because it's being held still
It has gravitational potential energy because of its height.
its atoms and molecules have thermal energy
It has motion energy because it will fall if let go
its kinetic energy is being converted to potential energy
ghts reserved

Answers

it has no energy because its being held still

it has motion energy because it will fall if let go

The denizens of a distant planet live under an atmosphere made predominantly of CO2 which is a dispersive medium while attending a concert which of the following would be true for a spectator seated in the back of a large amphitheater?
I. They would hear the low notes and high notes at different times
II. They would hear the low notes and high notes at the same time

Answers

Since the frequency of sound in a medium is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.

What is a dispersive medium?

A dispersive medium is a medium which spreads out or disperses a substance passing through it.

Since CO2 is a dispersive medium, it means sound waves passing through it would be dispersed based on wavelength.

The note of a sound depends on its frequency, the higher the frequency, the higher the note.

Frequency of sound is constant, therefore, the concert-goers would hear the low notes and high notes at the same time.

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Consider the two-slit interference experiment. Electromagnetic radiation passes through the two slits that are a distance of 0.0170 nm apart. A fourth-order bright fringe forms at an angle of 8.0 degrees relative to the incident beam. What is the wavelength of the light? (1 point)

O 581 nm

O 420 nm

O 789 nm

O 591 nm

Answers

Answer:

The answer is 581

Explanation:

I just took the Quick Check and got it right.

Which of the rays drawn above would be correct as the light goes from the air into the water?

Answers

Answer:

the answer to this question is option c

there process which eventually takes place is called refraction

Explanation:

please do consider as brainlest if useful

Find the magnitude of the sum of these two vectors:​

Answers

Answer:

Explanation:

You can decompose those vectors into their components in x and y direction. For the first vector:

[tex]\vec{r}_{1}=r_{1}\cos 30\hat{i}+r_{1}\sin 30\hat{j}=3.14(\frac{1}{2}\sqrt{3}\hat{i}+\frac{1}{2}\hat{j})=1.57\sqrt{3}\hat{i}+1.57\hat{j}[/tex]

For the second vector:

[tex]\vec{r}_{2}=r_{2}\cos 60\hat{i}-r_{2}\sin60 \hat{j}=1.355\hat{i}-1.355\sqrt{3}\hat{j}[/tex]

The sum of two vectors will be:

[tex]\vec{r}=\vec{r}_{1}+\vec{r}_{2}=(1.57\sqrt{3}+1.355)\hat{i}+(1.57-1.355\sqrt{3})\hat{j}\approx 4.0711\hat{i}-0.77415\hat{j}[/tex]

The magnitude of the sum of two vectors is:

[tex]r=\sqrt{(4.0711)^{2}+(-0.77415)^{2}}\approx 4.14[/tex] meter

Answer:

4.14m

Explanation:

Which point on the graph would have the most kinetic energy?


-Which point on the graph would have the least kinetic energy?


-What point on the graph would have just a little less potential energy than point E?


-What point on the graph would have just a little more potential energy than point F?


-What point on the graph would have just a little less potential energy than point G?

Answers

The total mechanical energy is kinetic energy + potential energy, so we can look at the object's potential energy to determine the place where it has maximum and minimum kinetic energy.

Potential energy is determined by the equation PE = mgh, where the height is the only changing variable here. Therefore, we look at the height to answer these questions.

Which point on the graph would have the most kinetic energy?

The point where the object's potential energy is the lowest, aka where its height is the lowest. Point D would have the most kinetic energy.

Which point on the graph would have the least kinetic energy?

The point where the object's potential energy is the highest, aka where its height is the highest. Point A would have the least kinetic energy.

What point on the graph would have just a little less potential energy than point E?

Look at the point that is just below point E. Point D has just a little less potential energy than point E.

What point on the graph would have just a little more potential energy than point F?

Look at the point that is just above point F. Point B has just a little more potential energy than point F.

What point on the graph would have just a little less potential energy than point G?

Look at the point that is just below point G. Point B has just a little less potential energy than point E.


A simple circuit has a voltage of 8V and a current of 3A. Find the resistance (R) in the
circuit.

Answers

Answer:

2.67 ohm

Explanation:

V=IR

R=V/I

In which V is voltage and I is current and R is resistance

Help please!

An object of mass m is oscillating with a period T. The position x of the object as a function of time is given by the equation x(t)=Acosωt . The maximum net force exerted on the object while it is oscillating has a magnitude F. Which of the following expressions is correct for the maximum speed of the object during its motion?

Answers

The correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].

Maximum speed of the object

The maximum speed of the object is determined using the following formulas;

v(max) = Aω

where;

A is the amplitude of the motionω is angular speed

The maximum speed of the object can also be obtained from the maximum net force on the object,

F = ma

where;

F is the maximum net forcea is the accelerationm is mass of the object

F = m(v/t)

mv = Ft

v = Ft/m

Thus, the correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].

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Answer:

[tex]\frac{FT^{2} }{4\pi ^{2} }[/tex]

Explanation:

I just finished the AP Physics Exam and the other answer got the question wrong.

A DJ is setting up their equipment and measures the sound level near a speaker to be 55.65dB. They decide to add two more speakers next to the first. What would they measure the new sound level to be?

Answers

For a DJ is setting up their equipment and measures the sound level near a speaker to be 55.65dB, the new sound level is mathematically given as

L=50.470dB

What would they measure the new sound level to be?

Generally, the equation for the sound level  is mathematically given as

l=10logl/io

Therefore

logl/io=5.57

Hence

I=3.715*10^−8

In conclusion

L'=10log(3*3.715*10^−8)/10^{-12}

L=50.470dB

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Which two generalizations can be made based on what you know about cycles of matter in a closed system?
New matter is added, and old matter is destroyed.
Matter changes its physical form, allowing it to return to its original state.
The amount of matter within the system remains the same.
Matter and energy can cross the boundaries of the system.
0 The cycle has a well-defined starting and stopping point.

Answers

D is is the answer I have done that before and remembered the answer

Answer: It's 2 and 3

Explanation:

solve ~
[tex]13x - 26 + 39 = 0[/tex]

ty! :)

Answers

Explanation:

13x - 26 + 39 = 0

13x=26-39

13x=-13

x= -1

[tex]13x-26+39=0\\\\\implies 13x +13 = 0\\\\\implies 13x = -13\\\\\implies x = -\dfrac{13}{13}\\\\\implies x = -1[/tex]

nts
A force diagram of a tennis ball flying through the air toward the right is shown in the diagram
below. The arrows show the direction of the gravitational force (Fgrav), the drag force (Fdrar), the lift
force (Flift), and the direction of movement of the tennis ball.
Force Diagram for a
Flying Tennis Ball
Fe = 0.27 N
12
kly
ary
F = 0,64 N
drag
direction of
motion
Fyw = 0,56 N
Which pair of statements is a valid description and explanation of the motion of the ball based on
evidence from the diagram?
O description: the ball slows down as it moves to the right because the horizontal forces are unbalanced, with
the larger force acting to the left.
explanation: The ball speeds up as it moves downward because the vertical forces are unbalanced, with the
larger force acting downward.
O description: The ball speeds up as it moves to the right because the horizontal forces are unbalanced, with
the larger force acting to the right.
explanation: The ball speeds up as it moves downward because the vertical forces are unbalanced, with the
larger force acting downward.
O description: The ball moves at a constant speed to the right because the horizontal forces are unbalanced,
with the larger force acting to the left.
explanation: The ball moves at a constant speed to the right because the horizontal forces are unbalanced,
with the larger force acting to the left.
O description: The ball slows down as it moves to the right because the horizontal forces are unbalanced, with
the larger force acting to the right.
explanation: The ball moves at a constant speed downward because the vertical forces are unbalanced, with
the larger force acting upward.

Answers

Given that the magnitude of the forces is greater towards the left; the ball slows down as it moves to the right because the horizontal forces are unbalanced.

Balanacing of forces

We have to know that force is a vector quanty. The direction in which the ball will move is  dependent on the direction and magnitude of the resultant force.

Now considering the statements, the pairs of  statements that are true are;

description: the ball slows down as it moves to the right because the horizontal forces are unbalanced, with the larger force acting to the left.

explanation: The ball speeds up as it moves downward because the vertical forces are unbalanced, with the larger force acting downward.

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divide 48 into the ratio 2:4

Answers

8 is the answer

Explanation to this answer:

The diagram below show the earth and the sun, as well as four different possible positions for the moon (Z, W, X, and Y). Where will the moon be during a SOLAR eclipse as seen from Earth?

Z

W

X

Y​

Answers

Answer:

the moon will be in between the sun and the moon covering the earth view of the sun

Friction helps your vehicle stop quickly.
A. TRUE
B. FALSE

Answers

Answer:

true

Explanation:

Friction helps your vehicle stop quickly. this statement ids true. Hence option A us correct. A vehicle can stop more rapidly because to friction. The brake pads rub on the turning braking discs or drums when the brakes are applied.

The friction slows the moving vehicle down and eventually causes it to halt by converting its kinetic energy into heat energy.  The effectiveness of the braking action will increase with the level of friction between the brake parts. For rapid stops, friction between the tyre and the road is also important.

The vehicle's forward motion is opposed by friction created by the tyres' gripping action on the road surface, which helps in stopping and decelerating. Rapid vehicle stopping would be incredibly difficult and risky without friction.

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7- A gas is contained in a vertical, frictionless piston-cylinder device. The piston has a mass of 4 kg and a cross-sectional area of 35 cm^2. A compressed spring above the piston exerts a force of 60 N on the piston. If the atmospheric pressure is 95 kPa, Determine the pressure inside the cylinder.​

Answers

It’s odd you bufón hub fix up novio j in on big big job half got food rush gc junk church John non mom K on KB vivid Tatars watch giving him

(a) Calculate the capacitance of a parallel-plate capacitor whose plates are 30. cm x 5.0 cm and are separated by a 3.0-mm air gap. (b) What is the charge on each plate if a 6-V battery is connected across the two plates? (c) What is the electric field between the plates? (d) Estimate the area of the plates needed to achieve a capacitance of 5F, given the same air gap d.​

Answers

The answers to your questions are as written below

A) capacitance of a parallel plate capacitor = 442.5 * 10⁻¹³ F

B) The charge on each plate is = 2655 * 10⁻¹³ C

C) The electric field between the plates is ; 2 * 10³ N/C

D) The estimated area of the plates is ; 1.695 * 10⁹ m²

A) Calculate the capacitance of a parallel plate capacitor

Plate dimension = 30 cm * 5 cm

Air gap ( d )  = 3 mm = 3 * 10⁻³ m

First step : calculate the area of the plate

Area of plate = 30 * 10⁻²m  *  5 * 10⁻² m

                      = 150 * 10⁻⁴ m²

Next step : determine the capacitance

Capacitance = ε₀A / d

                     = ( 8.85 * 10⁻¹² *  150 * 10⁻⁴ ) / 3 * 10⁻³

                     = 442.5 * 10⁻¹³ F

B) Calculate the charge on each plate if a 6-V battery is connected

charge on each plate can be calculated with the formula below

Q = CV

   =  442.5 * 10⁻¹³  * 6

   = 2655 * 10⁻¹³ C

C) Determine the electric field between the plates

Electric field between plates ( E ) = V / d

                                                       = 6 / 3 * 10⁻³

                                                       = 2 * 10³ N/C

D) Estimate the area of the plates

Required capacitance = 5 F

Air gap ( d ) =  3 * 10⁻³ m

applying the equation below

C = ε₀A / d -----

5 = ( 8.85 * 10⁻¹²  * A ) / 3 * 10⁻³

Therefore A :

A = ( 5 * 3 * 10⁻³ ) /  8.85 * 10⁻¹²  

   = 15 * 10⁻³ / 8.85 * 10⁻¹²

   = 1.695 * 10⁹ m²

Hence we can conclude that the answers to your questions are as written above.

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stion 3
Define the law of moments. It is applicable to a certain condition of the acting forces.
Name the condition.

Answers

Answer:

algebraic sum of moments of all the forces acting on the body about the axis of rotation is zero, the body is in equilibrium. According to the principle of moments, in equilibrium: Sum of anticlockwise Moments = Sum of clockwise moments.

Condition:

For an object to be in equilibrium, it must be experiencing no acceleration.

Hope it may helpful to you

In the image, not to scale, which phase of the moon would you observe from earth?​

Answers

Answer:

The "new" moon phase is being shown because the moon shown is directly between the sun and earth and is not visible from the earth because of the brightess of the sun.

If a person is putting in 500 J of work in a 25 second period, how much power are they producing?​

Answers

P= work/time. the work here is 500J and the time is 25s. simply plug in the given info into the equation. 500J/25s. remember that the unit of power is watts. your answer is 20 watts. hope this helps !

I need help with my earth and space science, ASAP! can someone please help?

Answers

Answer:

from what i got it is B

Hope This Helps

6 verify it in the laboratory. State Hooke's law. Describe how you can A force of 40 N stretches a wire through 30 cm. What force will stretch it through 5.00 and through what length will a force of 100N stretch it? What assumption have you made? State Hooke's law​

Answers

if you assume a) that the elastic limit wont be met, and b) that is a linear elastic material, then
f=kx
40=k.03 or k= 1333N/m

5cm?
force=k*.05=1333*.05=67N

100=kx
x= 100/1333 = 7.5 cm

10 POINTS
Which type of electromagnetic radiation is used in airport security screening?
O A. X-rays
• B. Ultraviolet radiation
• C. Gamma rays
O D. Infrared radiation
SUBMIT

Answers

Answer:

A) X-rays

Explanation:

Airport security screenings use X-rays because they can penetrate through bags to see objects that are located within that are obscured through normal view.

X- rays are used to  test  body in airports. Low energy waves are used to screen baggages and human body. Thus option A is correct.

What is electromagnetic radiation ?

Electromagnetic spectrum is the arrangement of radiations in the order of decreasing wavelength or increasing energy and frequency. The order is radio waves, microwaves, infrared, visible, ultraviolet, x-rays and gamma rays.

x -rays are highly energetic short waves which can be easily penetrate through a body. X-ray is used in different diagnostic techniques. X-rays easily penetrate through  tissues and provide the scanned images of internal parts.

In airport security screening x-rays are used to screen baggages and human bodies. High energetic waves are causing serious health risks. Hence, lower energy x-rays are used in testing.

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Relative gravitational potential energy depends on gravity, mass, and height measured from the ____.

Answers

Answer:

We dont have a understandable Ansewer for this

Explanation:

6. When can you say that an object is accelerating?
A. when the speed remains the same
B. When the speed is changing
C. when the instantaneous velocity is the same
D. When there is a uniform motion

give explanation ​

Answers

Answer:

When the speed is changing is the correct answer

Explanation:

Because acceleration is rate of change of velocity

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Q19. Convert 2.05 x 10^5 seconds into years​

Answers

Explanation:

no. of seconds in a year = 60 × 60 × 24 × 365

= 31,536,000 seconds

so 2.05 × 10⁵ into years = 0.0065 years (approximately)

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