A simple pendulum has a period of 3.45 seconds. When the length of the pendulum is shortened by 1.0m,the period is 2.81 seconds, calculate (a) the original length of the pendulum (b) The value of acceleration due to gravity

Answers

Answer 1

Answer:

2.97 meters

9.85 m/s^2

Explanation:

Given that :

Period (T1) = 3.45 seconds

When length , l is shortened by 1m, period (T2) = 2.81 seconds

Using the relation :

T = 2π√l/g

g = acceleration due to gravity

T1 = 2π√L/g - - - - (1)

Period 2:

x = shortened length = 1m

T2 = 2π√L-x/g - - - (2)

Square both sides

T1² = (2π)² L/g - - - (3)

T2² = (2π)² L-x/g - - (4)

Divide 3 and 4

(T2/T1)² = (L-x) / L

(2.81/3.45)^2 = (L - 1) / L

0.6633984 = (L - 1) / L

0.6633984L = L - 1

0.6633984L - L = - 1

−0.336601L = - 1

L = 1 / 0.336601

L = 2.9708764

Length = 2.97 meters

Acceleration due to gravity :

g = L(2π/T1)^2

g = 2.97(2π / 3.45)^2

g = 2.97 * 3.3168172

g = 9.8509

g = 9.85 m/s^2

g


Related Questions

The answer to a multiplication problem is called the?

Answers

Answer:

product

Explanation:

Answer:

product

Explanation:

You find the product when you multiply two or any number of factors.

Compounds are made from the atoms of two or more______?

Answers

Answer:

elements

not really an explanation

How many times greater is the intensity of a 35-db sound compared to a 25-db sound?

Answers

Answer:

10 Times (greater)

Explanation:

The given parameters are;

The number of decibels of the first sound, 35-db

The number of decibels of the second sound, 25 db

We have;

[tex]\beta (dB) = 10 \cdot log_{10} \left (\dfrac{I}{I_0 \right)}[/tex]

Where;

I₀ = 10⁻¹² W/m² = The lowest perceivable sound

Therefore, we have;

[tex]I = I_0 \times 10^{\left (\dfrac{\beta }{10} \right) }[/tex]

Substituting the known values, gives;

When β = 35-db, we get;

[tex]I_{35} = 10^{-12} \times 10^{\left (\dfrac{35 }{10} \right) } = 10^{-12} \times 10^{3.5} = 10^{-8.5}[/tex]

When β = 25-db, we get;

[tex]I_{25} = 10^{-12} \times 10^{\left (\dfrac{25 }{10} \right) } = 10^{-12} \times 10^{2.5} = 10^{-9.5}[/tex]

Therefore, we get the number of times the intensity of a 35-db sound is compared to a 25-db sound, which is, I₃₅/I₂₅ is given as follows;

[tex]\dfrac{I_{35}}{I_{25}} = \dfrac{10^{-8.5}}{10^{-9.5}} = 10[/tex]

Therefore, the intensity of a 35-db sound is 10 times greater than the intensity of a 25-db sound

PLEASE ANSWER ILL GIVE YOU BRAIN!!!!

Answers

Answer:

I think the first two one is 70 the second on is 14

I hope this helps if I’m wrong I’m sorry

Explanation:

Which sphere includes rocks and minerals?
A.
atmosphere
B.
biosphere
C.
geosphere
D.
hydrosphere

Answers

Answer:

Geosphere

Explanation:

Answer:

The geosphere may be taken as the collective name for the lithosphere, the hydrosphere, the cryosphere, and the atmosphere.

The lithosphere refers to the land. Land consists of rocks and sand.

Explanation:

Please help i don't get it.
Which image matches the Topographic Map Shown?
Also, please explain how your answer is the correct answer. Why is your answer correct?

Answers

Answer:

the answer is 4

Explanation:

the picture matches eachother that's why I picked 4

Answer:

devils tower

Explanation:

on the topographic map the circular lines stop at at certain point because the moutain doesnt get any pointyer if you know what that means

in other words if the map continued with the circular lines all the way to the centerit would have been that snowny mountain

As a pendulum moves closer to the equilibrium position, how do the velocity, acceleration, and force change? The velocity decreases, the acceleration decreases, and the net force decreases. The velocity increases, the acceleration decreases, and the net force decreases. The velocity increases, the acceleration increases, and the net force decreases. The velocity decreases, the acceleration increases, and the net force increases.

Answers

Answer:

The velocity increases, the acceleration decreases, and the net force decreases.

Explanation:

Velocity is at maximum when acceleration is zero thus as the pendulum moves closer to equilibrium position, velocity increases and acceleration decreases. As the pendulum moves closer to equilibrium, the magnitude of force decreases until it reaches the equilibrium position when the magnitude of force is zero. This means the net force decreases in the same manner the acceleration decreases because from the formula of force which is the product of mass and acceleration.

Answer:

B

Explanation:

on edge

Electromagnetic waves are classified as longitudinal waves.


Please select the best answer from the choices provided

T
F

Answers

Answer:

False

Explanation:

Electromagnetic waves are transverse waves. That means that the electric and magnetic fields oscillate in a plane that is perpendicular to the direction of wave propagation.

Answer:

false electromagnetic waves are not classified as longitudinal waves

which property of a conducting wire is utilised in making electric fuse ​

Answers

Answer:

property of low melting point

Explanation:

When too much current flows through the low resistance element of the fuse, the element melts and breaks the circuit

HELP ME ASAP PLZZ

Which of the following is not a measurement taken by a radiosonde?

a. atmospheric composition

b. atmospheric pressure

c. wind speed

d. wind direction

Answers

Answer:

A atmospheric composition

Think about holding a glass of cold water. Your hand is warmer than the glass. Do the particles in your hand or those in the glass of cold water move faster? Why?​

Answers

technically usually the warmer object/substances particles move master which causes friction among the particles plus the kinetic energy being converted to thermal energy, so i would say the hand.

which of the following is an example of thermal energy being transferred directly from one substance to another via conduction?

Answers

Answer:I think it’s D

Explanation:

Conduction needs direct touch to transfer

Find the work done by a man who is pulling a box of 45kg of mass by means of rope which makes angle of 45 degrees.

Answers

Answer:

0

Explanation:

Since no distance is given, the force is not doing any work

No work is done by the man since we do not know the distance or displacement.

Work is only said to be done when the force applied on an object moves it through a particular distance.

 Work done  = Force x distance.

Since no distance is given in this problem, we can as well assume that the force applied is doing no work on the object.

a manor house was most similar to​

Answers

Answer:

I don't know the multiple choices or if you have any but my best answer is castle.

I hope this helps!

Jack and Jill decide to run a race. Jack weighs 90 kg and Jill weighs 50 kg. At the end of the race it was decided that Jack and Jill tied so they had the same speed. Which person had more momentum ?

Answers

Answer: Jack.

Explanation:

Momentum is defined as the quantity of motion.

For an object that has a mass M, and a velocity V, the momentum is written as:

P = M*V

For this problem, we know that Jack and Jill had the same speed (so they had the same velocity), let's say that this velocity is v.

Then the momentum of Jack will be:

P = 90kg*v

And the momentum of Jill will be:

P = 50kg*v

We can see that Jack will have a larger momentum, and this is because he has a larger mass than Jill, but the same velocity as her.

I need the answers ASAP.

Answers

Answer:

Explanation:

A) Large: As she opens her parachute, she begins to displace a large volume of air. This leads to a Large air resistance

B) increase, weight: As she falls, the air resistance force increases. Now there is a force acting in opposite directions to her weight.

C)Weight, Decelerate: The skydiver has only the downward force of her weight pulling down on her, so she starts to decelerate

D) Weight, Upward, Resultant:

Her weight is now equal to the upward force from the ground. Her resultant  force is then zero

E) Increases, same, constant,  resultant, terminal:

As she accelerates faster, the air resistance force increases. It is now the same as her weight. She now moves at a constant speed because the resultant force acting on her is zero. She is now at her terminal velocity.

F) Increases, same, constant, terminal:

As she decelerates, the air resistance force on her parachute increases until it is the same as her weight. She is now moving with a constant speed until she hits the ground - a new slower terminal velocity

A wheel of mass 50 kg has a radius of 0.4 m. It is making 480 rpm. What is the
torque necessary to bring it to rest in 40 seconds?
Solution:

Answers

Answer:

The torque necessary to bring the wheel to rest in 40 seconds is 10.4 N·m

Explanation:

The question is with regards to rotational motion

The rotary motion parameters are;

The mass of the wheel = 50 kg

The radius of the wheel = 0.4 m

The rate of rotation of the wheel = 480 rpm

The time in which the wheel is to be brought to rest = 40 s

The rotational rate of the wheel in rotation per second is given as follows;

480 r.p.m = 480 r.p.m × 1 minute/(60 seconds) = 8 revolution/second

1 revolution = 2·π radians

Therefore, we have the angular velocity, ω, given as follows;

ω = 2·π × 8 revolutions/second ≈ 50.3 rad/s

The angular acceleration, α, is given as follows;

[tex]\alpha = \dfrac{\Delta \omega}{\Delta t} = \dfrac{\omega _2 - \omega_1}{t_2 - t_1}[/tex]

Whereby the wheel is brought to rest from its initially constant rotational motion in 40 seconds, we have;

ω₁ ≈ 50.3 rad/s, ω₂ = 0 rad/s, and t₂ - t₁ = 40 seconds

Plugging in the values for the variables of the equation for the angular acceleration, "α", we get;

[tex]\alpha = \dfrac{0 - 50.3 \ rad/s}{40 \ s} \approx 1.3 \ rad/s^2[/tex]

The torque on the wheel, τ, is given as follows;

τ = m·r²·α

Where;

m = The mass of the object = 50 kg

r = The radius of the wheel = 0.4 m

α = The acceleration of the wheel ≈ 1.3 rad/s²

Therefore;

τ = 50 kg × (0.4 m)² × 1.3 rad/s² ≈ 10.4 N·m

The torque necessary to bring the wheel to rest in 40 seconds = τ ≈ 10.4 N·m.

Answer:

-10.048 N m

Explanation:

A hiker walks 5.0 kilometers due north for twenty minutes. He turns due west and travels 12 kilometers in 60 more minutes. Then he walks 7.0 kilometers due north in forty minutes. What is the average speed of the hiker when traveling north?

Answers

Answer:

The hikers average speed due north is 0.2 km per minute.

Explanation:

Speed is the ratio of distance moved by a body to the time taken.

i.e speed = [tex]\frac{distance}{time}[/tex]

Since the hiker walks due north and due west, then his average speed due north can be determined by;

Average speed = [tex]\frac{total distance due north}{total time taken}[/tex]

Total distance due north = 5.0 + 7.0

                                  = 12.0 km

Total time taken = 20 + 40

                           = 60 minutes

                           = 1 hour

Average speed due north= [tex]\frac{12}{60}[/tex]

                          = [tex]\frac{1}{5}[/tex]

                          = 0.2

Average speed due north = 0.2 km/minute

The hikers average speed due north is 0.2 km per minute.

Derive Isothermal process through ideal gas.( derive it numerically)​

Answers

Explanation:

Hope it helps..........

Three systems of two charged particles are shown below. All the particles have the same mass,
and all are initially at rest. In System X, two positive charges are separated by distance d.
System Y is similar, but one of the charges is negative. In System Z, both charges are positive,
but one has twice the charge of the other and the distance between the charges is double that of
Systems X and Y. When the particles are released, they accelerate until all the electrical
potential energy is converted to kinetic energy.
System X-9
+
Systemy -
-
2d
System z 9
+29
Rank the systems from the one with the greatest final kinetic energy to the one with the least
final kinetic energy?
A. X=Z>Y
B. X>Z>Y
C. X=Z=Y
D. X=Y>Z

Answers

Answer:D

Explanation:

Un automobil pleacă din Alexandria la ora 23 și 25 de minute și ajunge la București la ora 0 și 20 de minute. Aflați durata mișcării. Dacă automobilul s-a deplasat cu viteza de 90 km/h, aflați distanța dintre localități.

Answers

Answer:

[tex]55\ \text{minut}[/tex]

[tex]82.5\ \text{km}[/tex]

Explanation:

Timpul când mașina părăsește Alexandria este [tex]23:25[/tex]

Ora sosirii mașinii la București este [tex]00:20[/tex]

Deci, timpul necesar pentru călătorie este [tex]60-25+20=55\ \text{minut}=\dfrac{55}{60}\ \text{ore}[/tex]

Viteza mașinii este de 90 km/h

Distanța este dată de produsul vitezei și al timpului

[tex]90\times \dfrac{55}{60}=82.5\ \text{km}[/tex]

Distanța dintre localități este [tex]82.5\ \text{km}[/tex].


I NEED HELPP!!!
Calculating the Value of an Unknown Resistor

Answers

The answer to that would be gibberish times 5 minus 10


Obtain a pillow made of foam rubber. Press
down hard with your two hands on the surface
of the pillow. Then withdraw your hands
Describe what happened to its shape while you
pushed hard on the pillow and when you
withdrew your pushing. Repeat this activity on
a piece of rectangular block of wood and a
plasticine. Note the different effects.​

Answers

Answer: Only foam rubber is compressible material

Explanation:

The pillow is made up of foam rubber which can be compressed easily due to the soft compressible rubber with hands on application of pressure on the surface. The shape of pillow regain its original shape when the pressure is withdrawn from the pillow. If the same activity is performed on the piece of rectangular block of wood and plasticine. Then the rectangular block of wood cannot be compressed with hand as it is a solid body. Plasticine is a putty like material. It is a clay like material and it can be compressed with hand but when the pressure is withdrawn the plasticine does not regain its shape back.

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Kami Schoolo... ►
DECISION MAKING SCENARIOS.docx
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DECISION MAKING SCENARIOS
DIRECTIONS: Read each scenario and then follow the steps to the DECIDE process to see what
you would do if you were placed in each situation.
Scenario #1: You are a freshman and an only child whose parents have demanding careers
and little time to spend at home. You are left home alone a lot and have friends over for parties
all the time. The parties can sometimes get out of hand, but so far, you haven't been caught.
Recently, your friends have challenged you to take them for a ride in your parent's car but you
don't have your license yet. However, you'd like to do it.
DEFINE THE PROBLEM:
EXPLORE THE ALTERNATIVES:
1.

Answers

Answer:

and what us the question


Which image illustrates the bouncing of a light wave off of a surface?
A
B
с
D
A. A
B. B
C. C

Answers

Answer:

The answer is A good luck :P

Answer:

A

Explanation:

The light Bounces off because it is reflecting off glass or anything else

What is common between transverse waves and longitudinal waves?

Both include an amplitude, crest, and rarefactions
Both move faster at higher temperatures
Both move slower through densely packed molecules
Both include a wavelength from compression to compression

Answers

Answer:

b

Explanation:

i took the quiz

Both the transverse and longitudinal waves move faster at higher temperatures.

What is meant by transverse wave?

A wave in which the motion of the particles is perpendicular to the direction of the wave propagation is referred to as a transverse wave.

Here,

As a result of the shear stress that is produced, transverse waves are frequently observed in elastic materials.

In this situation, the oscillations are caused by the displacement of the solid particles from their relaxed state in directions perpendicular to the wave's propagation.

The wave in which the particles of the medium oscillate parallel to the direction of propagation of the wave is called a longitudinal wave.

Sound waves similarly oscillate parallel to the direction of propagation, forming the compressions and rarefactions. Hence sound waves are called longitudinal waves.

Hence,

Both the transverse and longitudinal waves move faster at higher temperatures.

To learn more about transverse waves, click:

https://brainly.com/question/13863548

#SPJ5

A solar panel gives our 250 Watts
of power in 2 seconds. How much
work did the solar panel do?

Answers

2 seconds worth of work

Read each of the phrases below. Put the phrases in the correct order to show the path of blood flow in the circulatory system starting with the blood traveling from the lungs.
___ blood picks up waste products such as carbon dioxide
___ carries oxygen and nutrients to the body cells
____ moves to right ventricle and to lungs
____ blood travels from the lungs to the left atrium
____ returns to right atrium

Answers

Answer:

__3__ blood picks up waste products such as carbon dioxide

__2__ carries oxygen and nutrients to the body cell

__1__ moves to right ventricle and to lungs

__4__ blood travels from the lungs to the left atrium

__5__ returns to right atrium

Explanation:

PLS MARK BRAINLEST

Both vena cava passes the deoxygenated blood to the right atrium. Blood from right atrium enters right ventricle and pulmonary arteries carry deoxygenated blood from right ventricle to lungs for oxygenation. Two pulmonary veins come from each lung and pass O2 -rich blood to left atrium. Blood enters left ventricle from the left atrium. The left ventricle pumps blood into the aorta which in turn branches and delivers blood to the major body regions and organs.

Polar dissolves
A. nonpolar
B. polar
C. all molecules
D. none of the above

Answers

Polar substances are likely to dissolve in polar solvents.

Your answer is B.

find not true when the water freezes...

Answers

Answer: i think its c

Explanation:

Answer:

a

Explanation:

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