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

Henry designs an experiment to find out why plants without flowers tend to be wind-pollinated and not animal-pollinated. He takes samples from a variety of plants and studies them in the field. He finds that the evidence supports his hypothesis. Which of these was the hypothesis Henry was testing? Choose the correct answer. Nonflowering plants make less pollen than flowering plants. Nonflowering plants lack the structures to attract animal pollinators. Nonflowering plants grow close to the ground and capture fewer pollinators. Nonflowering plants grow close to the ground because they have no pollen grains.

Answers

Answer:

option 2

Explanation:

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Which of the following statements is TRUE concerning forces?
A. Forces in the same direction are added together
B. Forces in the opposite direction are subtracted from one another
C. An overall net force must be present in order for movement to occur
D. All of the above

Answers

The answer is d I took the test

A sample of gas in a syringe releases heat to its surroundings while the
plunger is pulled out. What are the correct signs of heat and work for this
change?
A. +Q+W
B. --W
O C. +Q, -W
D. -Q. +W

Answers

Answer: b

Explanation:

When heat is released by the system i.e. system loses heat. So, we take it as negative -Q

When the work is done on the system then it is considered as negative work on the system i.e. -W  

In this case, the plunger is pulled out, and work is done on the system. So, we take work as negative work -W

Correct option is b

The answer is D.

-Q +W

Please help ASAP please ASAP

Answers

The answer to your question is 185

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:

How many Joules of energy are required to make 50 kg of ice completely melt?
Hv = 226,000 J/kg
Hf = 334,000 J/kg

Answers

Answer:

In order to answer this question, you need the enthalpy of fusion of ice, which is 333.55 J/g (Joules/gram). The enthalpy of fusion is the amount of heat that must be absorbed or lost in order to change physical state.

The number of Joules required to melt the ice = enthalpy of fusion of ice x mass of ice.

1 kg = 1000g

40kg x (1000g/1kg) = 40,000g

Joules needed to melt the ice = 333.55 J/g x 40000 g = 13342000 J or

1.3342 x 107 J

Explanation:

Instead of 40kg input 50kg and get the answer

Which are examples of a Simple machine?
Question 4 options:


Hammer that swings on a nail


Light Switch that flips


Door stop that wedges at the bottom


The wheels on a bike

Answers

Wheels on a bike
Hope this helps

Answer:

the wheels on a bike

Explanation:

do you go to k-12 if you do can you help me please have a good night/day :) ❤

A squirrel runs at a speed of 9.9 m, with 25 J of kinetic energy. What is the squirrel’s mass?

Answers

Answer:

The mass of the squirrel is 0.51kg

A squirrel runs at a speed of 9.9 m/s with 25 J of kinetic energy.

What is the squirrel’s mass?

Answer: 0.51 kg

A person trapped outside during a thunderstorm should

Answers

Answer:

should stay away from trees, water, and tall objects.

Answer: the answer is

stay away from trees, water, and tall objects.:)

Explanation:

3) What is the name of the group of elements that are a good conductor of heat?
Metals
Metalloids
Nonmetals
Noble gases

Answers

Answer:

Metals

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What is the main power and purpose of the legislative branch?
i always need help with physics

Answers

Answer:

House and Senate.

Explanation:

declares war, regulates interstate and foreign commerce and controls taxing and spending policies.

Help for brainlist easy science plz

Answers

Answer:

the pics upside down fam

Explanation:

Answer:Darling, your worksheet is upside down.  

Test populations are studied. Population one is found to obey the differential equation dy1/da=o.2y1 and the population two obeys dy2/da = -0.3y2 , where t is the time in years? Which population is growing and which is declining

Answers

Answer:

Population 1 indicates growth while Population 2 indicates a declining population

Explanation:

Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining

From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value

While a positive change rate indicates growth, a negative change rate will indicate otherwise

Hence, we can conclude that the one with a negative rate change will indicate a declining population

6th grade science!!!!!!!!!!​

Answers

Answer:

D. All of the above

Explanation:

Global warming may cause all of the given choices.

Global warming is the rise in surface temperature. This is due to the trapping of heat within the earth surface.

It is as a result of huge amount of greenhouse gases within our atmosphere. They typically permit short wave radiations to escape and they do not allow short wave radiation to pass through. This in turn produces heat.

The heat can melt polar ices and glaciers. This in turn will cause sea levels to rise. Also, the ocean temperature will generally increase due to this.

Which change of state takes place when a gas loses energy?
A. condensation
B. evaporation
C. molting
D. solidification

Answers

Answer:

Condensation (((((((((((((

the answer is A, condensation.

The dimensions of a rectangular section of forest land are 5.5 x 105 meters and 4.2 x 104 meters. Complete the following sentences.
2.31 x 10
2.31 x 10"
2.31 x 105
23.1 x 10°
2.31 x 1010
23.1 x 1010
square meters
square kilometers
The area of the land is
square meters in scientific notation
We can represent this area as
square kilometers in scientific notation.
Hint: 1 square kilometer is equal to 1 * 10 square meters,
The unit
is more appropriate to represent the area of the forest land in scientific notation
Reset
Next
im. All rights reserved.

Answers

Answer:

The complete sentence is presented as follows;

The area of the land is 2.31 × 10¹⁰ square meters in scientific notation

We can represent this area as 2.31 × 10⁴ square kilometers

Explanation:

The question relates to Laws of indices specifically in powers of 10

The given parameters of the dimensions of the rectangular section of forest land are;

5.5 × 10⁵ meters by 4.2 × 10⁴ meters

Therefore, the area, "A" the rectangular section of forest land is A = 5.5 × 10⁵ m × 4.2 × 10⁴ m = 2.31 × 10¹⁰ m²

1 km² = 1 × 10⁶ m²

∴ 2.31 × 10¹⁰ m² = 2.31 × 10¹⁰/(1 × 10⁶) km² = 2.31 × 10¹⁰ ⁻ ⁶ km² = 2.31 × 10⁴ km²

2.31 × 10¹⁰ m² = 2.31 × 10⁴ km²

Therefore, the complete sentence, can be written as follows;

The area of the land is 2.31 × 10¹⁰ square meters in scientific notation

We can represent this area as 2.31 × 10⁴ square kilometers.

Answer:

The area of the land is 2.31 × 10¹⁰ square meters in scientific notation

We can represent this area as 2.31 × 10⁴ square kilometers

The unit square kilometers is more appropriate to represent the area of the forest land in scientific notation

Explanation:

just did it got it correct

Two resistors are used in an experiment. Resistor 1 had a resistance of 4 ohms and resistor 2 has a resistance of 2 ohms. Which resistor will have the bigger current flowing through it if the potential difference is constant

Answers

Answer:

2ohms resistor

Explanation:

According to ohms law

V= IR

V is the potential difference

I is the current

R is the resistance

Since they have the same potential difference, this shows that they are connected in parallel

Let assume V = 20V

For the 4ohms resistor

I = V/R

I = 20/4

I = 5A

For the two ohms resistor

I = V/R

I = 20/2

I = 10A

This shows that the 2ohms resistor will have the bigger current because the smaller the load, the bigger the current and vice versa

Answer:

2

Explanation:

A cart has a momentum of 42 kg m/s to the right. Its mass is 6 kg.
→ What is its velocity?
show your work

Answers

Answer:

v = 7 m/s

Explanation:

p = m × v

42 = 6 × v

6v = 42

v = 42/6

v = 7 m/s

What is a heating curve of water?

Answers

Answer:

eye

Explanation:

I hope this helps you out

2. Arrange the following types of electromagnetic waves in order by wavelength, from longest to
shortest: Gamma rays, visible light, infrared radiation, ultraviolet radiation, microwaves, radio
waves, X-rays

Answers

Answer:

Radiowaves >  microwaves> Infrared radiation > visible light > Ultraviolet radiation > x -rays > gamma rays

Explanation:

To solve this problem, we use the electromagnetic spectrum as a reference. On the electromagnetic spectrum, the lesser the wavelength, the higher the frequency and more energetic a wave is.

 Therefore;

  Radiowaves >  microwaves> Infrared radiation > visible light > Ultraviolet radiation > x -rays > gamma rays

So, radiowaves have the longest wavelength and gamma rays have the shortest.

Answer:

Radio, microwave, infrared radiation, visible light, ultraviolet radiation, x-rays and gamma rays.

Explanation:

These electromagnetic waves are arranged from longest to shortest wavelengths.

Have an amazing day!

An equilateral triangle is a triangle with all three sides of equal length. All of the angles in an equilateral triangle are equal.

What is the measure of angle θ in the triangle shown?(Figure 1) Recall that the sum of the angles in a triangle equals 180∘.

Answers

Answer:

60

Explanation:

it's equilateral...all angles are equal...180÷3=60ffs

Each angle of triangle is 60 degree.

What is equilateral triangle ?

If a Triangle having all the three sides of equal length and corresponding angle also to be equal than this triangle is known as equilateral triangle.

By definition of equilateral triangle it is known that all the sides of a triangle are equal and by the angle sum property tells us that a triangle's angles add up to 180. It also tells us that every side of a triangle is the same, and every angle of an equilateral triangle is the same.

Let each angle of triangle be x :

[tex]\begin{aligned} x+x+x&= 180^{o}\\3x&=180^{0}\\x&=60^{o}\end{aligned}[/tex]

Therefore, each angle of triangle is 60 degree.

check and know more about triangle here :

https://brainly.com/question/2773823

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How much force is needed to accelerate 250 kg at a rate of 6 m/s/s?

Answers

Answer:

[tex]1500 \: \mathrm{N}[/tex]

Explanation:

The equation [tex]F=ma[/tex] represents the force needed.

Plugging in [tex]m=250[/tex] and [tex]a=6\: \mathrm{m/s^2}[/tex], we find that the force needed to accelerate a 250 kg object at a rate of [tex]6 \: \mathrm{m/s^2}[/tex] to be [tex]\fbox{$1500 \: \mathrm{N}$}[/tex].

I need help please i really do appreciate it

Answers

Answer:Substances

Explanation:

how to make measurements of length, volume and time?

Answers

Answer:

The volume of a regular object can be calculated by multiplying its length by its width by its height. Since each of those is a linear measurement, we say that units of volume are derived from units of length.

Explanation:

Answer:

length×Width×Height

Explanation:

Length×Width×Height is the formula for volume

What is the solution to the problem expressed to the correct number of significant figures?
105.4 - 31.681
O A.
74
OB.
73.7
O c.
73.72
OD.
73.719
O E. 73.7190

Answers

Answer:

73.72

Explanation:

For this subtraction problem, the answer or solution is expressed to the least precise of the numbers we are trying to subtract.

The least precise number is the number with the lowest significant numbers:

105.4 - 31.681

105.4  has 4 significant numbers

31.681 has 5 significant numbers

  So;

             105.4  

        -      31.681

        ------------------

                 73.719

          ----------------

The solution is therefore  73.72

If a 1.3 kg ball is dropped from the top of a 33.7 meter building what is its potential energy before it is dropped?
B) What is the maximum velocity of the ball in problem 1 just before it hits the ground?
C) How much kinetic energy does the ball in problem 1 have after it has fallen 10 m down the building?

Answers

Answer:429.338 J; 25.7 m/s; 127.4 J

Explanation:

Given

mass of ball m=1.3 kg

Height of building H=33.7 m

(a)Potential Energy before dropping [tex]=mgH=1.3\times 9.8\times 33.7=429.338\ J[/tex]

(b)Velocity Just before hitting the ground

[tex]v=\sqrt{2gH}=\sqrt{2\times 9.8\times 33.7}=25.7\ m/s[/tex]

(c)After falling 10 m

Here initial velocity is zero

using [tex]v^2-u^2=2as[/tex]

Here,

[tex]v=\text{final veloity}[/tex]

[tex]u=\text{Initial velocity}[/tex]

[tex]a=\text{acceleration due to gravity}[/tex]

[tex]s=\text{displacement}[/tex]

Putting values

[tex]v^2-0=2\times 9.8\times 10\\v=14\ m/s[/tex]

So, kinetic energy  [tex]\dfrac{mv^2}{2}=\dfrac{1.3\times 196}{2}=127.4\ J[/tex]

hockey puck slides across the ice with an initial velocity of 7.2 m/s. It has a deceleration of 1.1 m/s2 and is traveling toward the goal 5.0 m away. How much time does the goalie have to stop the puck?

Answers

For this use the formula:

d = Vo * t - (at^2) / 2

Clearing t:

t = d/(v + 0.5*a)

Replacing:

t = 5 m / (7.2 m/s + 0.5 * (-1.1 m/s²)

Resolving:

t = 5 m / (7.2 m/s + (-0.55 m/s²)

t = 5 m / 6.65 m/s

t = 0.75 s

Result:

The time will be 0.75 seconds.

.75 seconds is the amount of time the goalie has to stop the puck

a persons eardrum has an area of 0.000200 m^2. How much force does the outside air at 1.00 atm exert on the eardrum

Answers

Answer:

20.3N

Explanation:

Given parameters:

Area of the eardrum  = 0.0002m²

Pressure on the eardrum  = 1atm  = 101325Nm⁻²

Unknown:

Force exerted on the eardrum  = ?

Solution:

Pressure is the force per unit area impacted on a body.

      Pressure  = [tex]\frac{Force }{area}[/tex]  

  Force  = Pressure x  area

Now insert the parameters and solve;

  Force  =  101325Nm⁻²  x  0.0002m²  = 20.3N

A 0.016-kg piece of iron absorbs 1086.75 joules of heat energy, and its temperature changes from 25°C to 175°C. Calculate the specific heat capacity of iron. Equation : c = Q/mt * 2608.2 J/(Kg*°C) 3477.6 J/(Kg*°C) 452.8 J/(Kg*°C) 8.7 J/(Kg*°C)

Answers

Answer:

452.8125J/Kg°C

Explanation:

The quantity of eat absorbed by the iron is expressed as;

Q = mc∆t

Q = 1086.75 joules

m is the mass= 0.016kg

c is the specific heat capacity

∆t is the change in temperature = 175-25 = 150°C

Get c;

From the formula;

c = Q/m∆t

c = 1086.75/0.016(150)

c =1086.75/2.4

c = 452.8125J/Kg°C

Hence the specific heat capacity of iron is 452.8125J/Kg°C

At 1:00 a.m., someone breaks a window in the back of a store and robs the safe. On the way out, the thief is cut on a piece of broken glass. A forensic team collects and tests a sample of blood left behind by the thief. It is O–. The police bring in a suspect with a cut forearm who was arrested just three blocks from the store. The person resembles someone seen leaving the store at the time of the robbery. A sample of the suspect’s blood is taken and tested for blood type. Once the suspect’s blood is mixed with anti-A serum, it is immediately clear that the suspect is not the person who was cut on the broken glass in the store. How did the test indicate that fact?

Answers

Answer:dd

Explanation:

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