(b) If you decrease the length of the pendulum by 25%, how does the new period TN compare to the old period T?

Answers

Answer 1

Answer:

The new period will be reduced by 50%

Explanation:

The period of pendulum is given by;

[tex]T= 2\pi\sqrt{\frac{L}{g} }\\\\\frac{T}{2\pi} = \sqrt{\frac{L}{g} }\\\\(\frac{T}{2\pi} )^2 = {\frac{L}{g}}\\\\\frac{T^2}{4\pi ^2} = {\frac{L}{g}}\\\\T^2(\frac{g}{4\pi ^2}) = L\\\\ \frac{g}{4\pi ^2}= \frac{L}{T^2}\\\\\frac{L_1}{T_1^2} = \frac{L_2}{T_2^2}[/tex]

When the length is decreased by 25%, the new length L₂ is given by;

L₂ = 25/100(L₁)

L₂ = 0.25L₁

[tex]\frac{L_1}{T_1^2} = \frac{L_2}{T_2^2}\\\\T_2^2 = \frac{T_1^2L_2}{L_1} \\\\T_N^2 = \frac{T^2(0.25L_1)}{L_1}\\\\ T_N^2 =0.25T^2\\\\T_N = \sqrt{0.25T^2}}\\\\T_N = 0.5 T[/tex]

Thus, the new period will be reduced by 50%


Related Questions

Whenever an object is moving at a constant rate, the value(s) that equal zero is (are):
a) Speed
b) Acceleration
c) Velocity
d) All of the above

Answers

Whenever an object is moving at a constant rate . . .

a).  its speed is that constant rate.

b).  Its acceleration MAY BE zero, if it's also moving in a straight line.

c).  Its velocity is that constant rate if it's moving in a straight line.  Otherwise, its velocity could have many different values, depending on the path it's following.  

HELP ASAP CORRECT ANSWER ONLY 10 PTS Collaboration, listening, and negotiating are considered __________ skills. interpersonal mathematical personal verbal

Answers

Answer:

Explanation:

verbal as they are all linked to communication and speaking

Answer: Verbal

Explanation: all three hints are signs of communication.

When a piece of paper is held with one face perpendicular to a uniform electric field the flux through it is 25 N .m2 /C. When the paper is turned 25° with respect to the field the flux through it is:_____.1. 02. 12 N .m2 /C3. 21 N .m2 /C4. 23 N .m2 /C5. 25 N .m2 /CB. A charged point particle is placed at the center of a spherical Gaussian surface. The electric flux is changed if:______.1. the sphere is replaced by a cube of the same volume2. the sphere is replaced by a cube of one-tenth the volume3. the point charge is moved off center (but still inside the original sphere)4. the point charge is moved to just outside the sphere5. a second point charge is placed just outside the sphereC. A charge of 0.8 × 10−9 C is placed at the center of a cube that measures 5 m along each edge. What is the electric flux through any 2 faces of the cube?

Answers

Answer:

1) 23 N.m²/C

2) The point charge is moved just outside the sphere

3) 30 N.m²/C

Explanation:

1) The flux through the field can be gotten by finding the dot product of the angle the later is turned, and the given uniform electric field.

25 * cos 25 =

25 * 0.9063 =

22.66 or approximately, 23 N.m²/C

2) The point charge is moved just outside the sphere

3) Using Gauss' Law, the electric flux through one face of the cube is given as Φ = Q / 6ε₀, thus,

Φ = 0.8*10^-9 / 6 * 8.85*10^-12

Φ = 0.8*10^-9 / 5.311*10^-11

Φ = 15 N.m²/C

And therefore, the flux through any 2 faces of the cube is 2 * 15 = 30 N.m²/C

what would happen to life on earth if all the plants died? plz help

Answers

Answer:

we would all die

Explanation:

If all the plants on earth died, so would the people. ... When green plants make food, they give off oxygen. This is a gas that all animals must breathe in order to stay alive. Without plants, animals would have no oxygen to breathe and would die.


Derrick crawls 4 feet south, and then turns east and crawls 6 feet.
What distance did he cover?

What was his displacement?

Answers

Displacement is a vector quantity. The distance and displacement of the given object are 10 ft and 7.07 ft respectively.

Distance:

It can be defined as the change in position of the object. It is a scalar quantity.

Displacement = 4+6

Displacement = 10 ft

Displacement:It can be defined as the vector change in position overall change in position.It is a vector quantityVector quantity is the quantities that have both magnitude and direction.

[tex]\rm Dislacement =\sqrt { 4^2 +6^2}\\\\ \rm Dislacement = 7.07 ft[/tex]

Therefore, the distance and displacement of the given object are 10 ft and 7.07 ft respectively.

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iv. When you use a hand pump to inflate the tires of your bicycle, the pump gets warm after a while. Why? What happens to the temperature of the air in the pump as you compress it? Why does this happen? When you raise the pump handle to draw outside air into the pump, what happens to the temperature of the air taken in? Again, why does this happen?reason

Answers

Answer:

The temperature rises because for a given volume of gas, a rise pressure of the gas in pressure results in a proportionate rise in the temperature of the gas

Similarly when the handle is raised to draw air causes a fall in pressure that results in proportionate fall in temperature, for a given volume of gas

Explanation:

From Gay-Lussac's law, states that the pressure of a given mass of gas is directly proportional to its Kelvin temperature, provided that the volume is held constant

Mathematically, the law states that Pressure ∝  Temperature, at constant Volume

Therefore;

P₁/T₁ = P₂/T₂

Similarly, by kinetic theory of gases, we have;

The

[tex]P = \dfrac{n \cdot MW \cdot v_{rms}^2}{3 \cdot V}[/tex]

[tex]v_{rms} = \sqrt{\dfrac{3 \cdot R \cdot T}{MW} }[/tex]

Therefore, as in order for the hand pump to inflate the bicycle tires, the air in the pump has to be compressed to force it into the tire, thereby increasing the pressure, of the air in a given volume of the pump which results in the raising of the temperature of the air in the pump, which raises the temperature of the wall of the pump.

The temperature of the air in the pump also falls as the pressure in the pump is reduced by raising the pump handle, to reduce the air pressure inside the pump and and allow air to be taken into the pump.

Complete the sentence with the word "element" or "compound." O is a(n) and H2O2 is a(n)

Answers

Answer:

O is an element whilst H2O2 is a compound.

Explanation:

O is an element. You can find it on the periodic table. H2O2 is composed of both H and O. Thus, H2O2 is a compound.

The O is a(n) element and [tex]H_{2} O_{2}[/tex] is a(n) compound.

What is element?

All facets of a species of atoms with a specific count of protons in its nuclei are referred to as chemical elements, such as the pure substance made exclusively of the that species.

What is compound?

A compound comprises a substance created by the chemical fusion of two or more components.

Therefore, the O is a(n) element and [tex]H_{2} O_{2}[/tex] is a(n) compound.

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The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

Answers

I think c but I’m not sure so don’t use mine

a cart travels 3.00 meters east and then 4.00 meters north. the magnitude

Answers

Answer: 5 m

Explanation:

X^2= 9+16

X = 5

According to pythagoras law

What is the net force acting on the box?
0 285 N
0 185 N
SN
0 85 N
0 65 N

Answers

Answer:

the answer would be D 65N

Explanation:

just got it correct on EDG

A 3.7-mm-diameter wire carries a 20 A current when the electric field is 8.2×10−2 V/m .
What is the wire's resistivity? (in Ωm)

Answers

Answer:

   ρ = 4.4 10⁻⁸ Ω m

Explanation:

For this exercise let's start by finding the value of the resistance using Ohm's law

          V = I R

           R = V / I

   

The voltage is related to the electric field

          V = E L

           

let's substitute

          R = E L / I

          R = 8.2 10⁻² / 20  

          R = 4.1 10⁻³ L

now we can use the resistance relation

          R = ρ L / A

the area of ​​a circular wire is

          A = π r² = π d² / 4

         ρ = R π d² / (4 L)

let's calculate

        ρ = (4.1 10⁻³ L) π 0.0037² / (4 L) = (4.1 10⁻³) π 0.0037² / (4)

        ρ = 4.4 10⁻⁸ Ω m

The resistivity of the wire is 4.4 10⁻⁸ Ω m.

We know that;

V = I R

R = V / I

The voltage  the electric field can be connected using the formula;

V = E L

Hence;

R = E L /I

R = 8.2 10⁻² / 20  

R = 4.1 10⁻³ L

For resistivity;

R = ρ L / A

the area can be obtained from;

A = π r² = π d² / 4

ρ = R π d² / (4 L)

ρ = (4.1 10⁻³ L) π 0.0037² / (4 L) = (4.1 10⁻³) π 0.0037² / (4)

ρ = 4.4 10⁻⁸ Ω m

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Does the atomic number of an atom change?

Answers

Answer:

An elements atomic number will never change, that is because the atomic number is its "identity."

The unit of the Power of a correction glass is the Diopter (D), As you know the Di ressed by means of a meter and thus we could express it as:
A. TC/(Ns)
B. Cv/N
C. J/N
D. None of above
where T- Tesla, v-volt, C-Coulomb, J-Joule

Answers

Answer:

reviewing the final answers the correct one is D none of the above

Explanation:

Diotria is highly used in ophthalmology and is related to distance by

       P = 1 / f

where f is the focal length of the lens in meters

Therefore from the previous definition the unit of dioctry is the inverse of the meter

   [P] = [1 / m]

when reviewing the final answers the correct one is D none of the above

A marble rolls 269cm across the floor with a constant speed of in 44.1cm/s.
What is the time interval of marble?

Answers

Answer:

t = 6.09 seconds

Explanation:

Given that,

Speed, v = 44.1 cm/s

Distance, d = 269 cm

We need to find the time interval of the marble. Speed is distance per unit time.

[tex]v=\dfrac{d}{t}\\\\\implies t=\dfrac{d}{v}\\\\t=\dfrac{269\ \text{cm}}{44.1\ \text{cm/s}}\\\\t=6.09\ s[/tex]

Hence, the time interval of the marble is 6.09 seconds.

a barge is pulled down the canal by a horse walking beside it, if the rope angle is 60.0 degrees, the force exterted is 400N and the barge being pulled is 100N how much work did the horse do

Answers

Answer:

The horse does 20,000 Nm of work.

Explanation:

Using = ∶ (400 ∗ 60°)(100) → The horse does 20,000 Nm of work.

The horse does 20,000 Nm of work.

What is work?

Work is the energy transferred to or from an object via the application of force along a displacement.

In its simplest form, it is often represented as the product of force and displacement.

The work W is equal to the force f times the distance d, or W = fd.

If the force is being exerted at an angle θ to the displacement, the work done is W = f d cos θ.

From the given values,

W = f d cos θ.

W = 400*100 cos60°

W= 20,000 Nm

The horse does 20,000 Nm of work.

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QUICK

a sound wave has a frequency of 85 Hz and a wavelength of 4.2 m. what is the wave speed of the sound wave?

A. 357 seconds

B. 89.2 m/s

C. 357 m/s

D. 20 m/s

Answers

Answer:C

Explanation:

I did the test

a sound wave has a frequency of 85 Hz and a wavelength of 4.2 m. Then the wave speed of the sound wave is 20.23 m/s.  Hence option D is correct.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform. There are two types of the wave longitudinal wave and transverse wave.

The wave speed is given by,

c = νλ

where λ is wavelength, ν is frequency.

Given,

frequency ν = 85 Hz

wavelength λ = 4.2 m

The speed of the wave,

c = 85 × 4.2 = 20.23 m/s

Hence option D is correct.

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what is alpha decay?

Answers

Answer:Alpha decay, type of radioactive disintegration in which some unstable atomic nuclei dissipate excess energy by spontaneously ejecting an alpha particle.

Explanation:

The current in an electric hair dryer is 12A. How many electrons flow through the hair dryer in 5.2 min ?

Answers

"Ampere" means 1 coulomb of charge every second.

12A means 12 coulombs of charge every second.

5.2 minutes = (5.2) x (60 seconds) = 312 seconds

12A for 312 seconds means (12) x (312)  = 3,744 coulombs of charge

1 coulomb is the amount of charge carried by 6.24 x 10¹⁸ electrons .

So 12A for 312 seconds means (3,744) x (6.24 x 10¹⁸) electrons.

That's  2.336 x 10²² electrons .

or  23,360,000,000,000,000,000,000 electrons .

(rounded to the nearest 10 quintillion).  

5 blocks east and 2 blocks north and 6 blocks and then 8 blocks south. what's the total distance traveled?

Answers

Answer:

The answer is 21

Explanation:

5 + 2 + 6 + 8 = 21

What is the magnitude of the thrust force before the cart is released?Express your answer in newtons using three significant figures.

Answers

Answer:

Hello your question is incomplete below are missing parts

In this video, a small cart that has a mass of 600 grams rests on a table top. There is a fan on top of the cart, blowing air backwards at a steady rate. A stretched spring is attached to the back of the cart by a string, holding it in place. A scale, marked off in newtons, is positioned next to the spring and a small dot at the end of the spring indicates the magnitude of the spring force. The spring and scale together is called a “dynamometer.” Before the cart is released from the spring, the dynamometer reads approximately 1.9 newtons. The video is recorded at 60 frames per second, resulting in playback motion 2 times slower than normal. A frame counter indicates the current frame. A horizontal distance scale, marked off in centimeters, is also shown on the video. While the cart is at rest, the front edge of the front wheel is at the zero of the scale.

At frame 245, the string that attaches the cart to the spring is cut, releasing the cart, and it begins to roll forward. Using the distance scale, the position of the front edge of the front wheel can be tracked with

time. The following table indicates the position at different frames.

Frame            Position (cm)

245                  0.0

251                   1.9

257                  6.0

263                  13.9

269                  24.6

275                 38.4

281                  55.1

287                 75.0

Answer : 1.9 N

Explanation:

The magnitude of the thrust force before the cart is released can be calculated as :

60 fbs = 1 frame = 1/60 secs

therefore 6 frames = 1 / 10 secs

F fam = F spring = 1.9 N

Note: F thrust = F fam = 1.9 N

Newtons Second Law of motion states that for acceleration to stay the same...​

Answers

Answer:

newton force is the state of gravity force they abstract when they came closer

what is surface tension

Answers

Answer:

Surface tension is the tendency of liquid surfaces to shrink into the minimum surface area possible. Surface tension allows insects, usually denser than water, to float and slide on a water surface.

What do the elements in group 17 of the periodic table have in common

Answers

They are toxic and all non metals

Two forces P and Q act on an object of mass 7.00 kg with Q being the larger of the two forces. When both forces are directed to the left, the magnitude of the acceleration of the object is 1.30 m/s2. However, when the force P is directed to the left and the force Q is directed to the right, the object has an acceleration of 0.600 m/s2 to the right. Find the magnitudes of the two forces P and Q in newtons.

Answers

Answer:

P = 2.45 N

Q = 6.65 N

Explanation:

According to Newton's 2nd Law:

Unbalanced Force = ma

where,

m = mass = 7 kg

a = acceleration

In the first case when both forces P and Q act on left side:

Unbalanced Force = P + Q

a = 1.3 m/s²

Therefore,

P + Q = (7 kg)(1.3 m/s²)

P + Q = 9.1 N   ------------------------- equation 1

Now, in second case when both forces have different directions:

Unbalanced Force = Greater Force - Smaller Force

Unbalanced Force = Q - P

a = 0.6 m/s²

Therefore,

Q - P = (7 kg)(0.6 m/s²)

Q - P = 4.2 N   ------------------- equation 2

Adding equation 1 and equation 2, we get:

(Q + P) + (Q - P) = 9.1 N + 4.2 N

2 Q = 13.3 N

Q = 6.65 N

Using this value in equation 2, we get:

6.65 N - P = 4.2 N

P = 2.45 N

The bonds between molecules store ____ Energy?

Answers

Answer:

chemical energy

Explanation:

Answer:

chemical energy

Explanation:

Energy is also stored in the covalent bonds holding atoms together in molecules. ... the difference in the amount of free energy given off as the original, reacting molecules fly apart, and the amount of free energy absorbed as the new covalent bonds form is left in the environment, often as light and/or heat.

A marble rolls 269cm across the floor with a constant speed of in 44.1cm/s.

Answers

Answer:

what's the question ,so I can answer it right ?

Personal behavior is the only factor that determines if a person becomes ill.
Please select the best answer from the choices provided.
ОТ
OF

Answers

Answer:

FALSE

Explanation:

express forty meters with four significant figures

Answers

40.00 meters

add a decimal place so that trailing zeroes are counted as significant figures.

a torch battery produces electricity from – energy​

Answers

Answer:

First, the batteries contain chemical energy, which is energy that is released during a chemical change. When chemical bonds are formed or broken, electrons are rearranged, and this movement of electrons produces chemical energy. Batteries can convert stored chemical energy into electrical energy.

chemical energy

(1.736+9.6435)÷3.22=

Answers

The answer is 3.53400621

Reduce the expression, if possible, by cancelling common factors.

Answer: 3.53400621

Explanation: Hope this helped! :)

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