A simple pendulum with a length of 2 m oscillates on the Earth's surface. What is the period of oscillations?

Answers

Answer 1

Answer:

Period, T = 27.84 seconds

Explanation:

Given the following data;

Length of pendulum = 2m

We know that acceleration due to gravity on earth is equal to 9.8 m/s²

To find the period of oscillation of the simple pendulum;

Mathematically, it is given by the formula;

[tex] Period, T = 2 \pi \sqrt {lg} [/tex]

Substituting into the equation, we have;

[tex] Period, T = 2 * 3.142 * \sqrt {2*9.8} [/tex]

[tex] Period, T = 6.284 * \sqrt {19.6} [/tex]

[tex] Period, T = 6.284 * 4.43 [/tex]

Period, T = 27.84 seconds


Related Questions

Is this right? Please help me ITS SOCIOLOGY

Answers

Yes, this is correct Answer.

PLS HELP ME
Secondary waves CANNOT travel through
a.
rock.
b.
liquids.
c.
Earth’s mantle.
d.
Earth’s crust.

Answers

Answer:

B. Liquids

Explanation:

Just had this question on my test.

Hope this helps :)

B.liquids
I think.......

Which statement is true of an alpha particle?

A. It is electromagnetic radiation, not a true particle.

B. It is an electron.

C. It is the largest decay particle

D. It is a particle that travels at the speed of light.​

Answers

Answer:

Atoms are made up of various parts; the nucleus contains minute particles ... neutrons, and the atom's outer shell contains other particles called electrons. ... Physical Forms of Radiation; Radioactive Decay; Nuclear Fission; Ionizing Radiation ... of high-energy waves that can travel great distances at the speed of light and ...

Explanation:

The true statement of an alpha particle is it is an electron. The correct option is B.

What is an alpha particle?

The alpha particle are composite particles which consists of two protons and two neutrons tightly bonded together. They are ejected from the inside the nucleus of heavy radioactive particles, also called alpha decay.

Atoms are made up electrons orbiting in outer shells, protons and neutrons in the nucleus. The radioactive particle emit highly ionized radioactive rays which ionize electrons emitting alpha particle.

Thus, the correct option is B.

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A boy who is riding his bicycle, moves with an initial velocity of 5 m/s. ten second later, he is moving at 15 m/s. what is his acceleration

Answers

Answer:

1 m/s²

Explanation:

From the question,

Using

a = (v-u)/t.................... Equation 1

Where a = accelartion of the bicycle, v = Final velocity, u = initial velocity, t = time.

Given: v = 15 m/s, u = 5 m/s, t = 10 s

Substitute these values into equation 1

a = (15-5)/10

a = 10/10

a = 1 m/s²

Hence the acceleration of the bicycle is 1 m/s²

A 1.80-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 15.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations.
(a) Find the force constant of the spring.
N/m

(b) Find the frequency of the oscillations.
Hz

(c) Find the maximum speed of the object.
m/s

(d) Where does this maximum speed occur?
x = ±
m

(e) Find the maximum acceleration of the object.
m/s2

(f) Where does the maximum acceleration occur?
x = ±
m

(g) Find the total energy of the oscillating system.
J

(h) Find the speed of the object when its position is equal to one-third of the maximum value.
m/s

(i) Find the magnitude of the acceleration of the object when its position is equal to one-third of the maximum value.
m/s2

Answers

Answer:

Explanation:

(a) Force constant = force/displacement = 15/0.2

=75 N/m

(b) For SHM with spring, the angular frequency = sqrt ( force constant / mass )

= sqrt ( 75 / 1.8 )

= 6.455

Frequency = Angular frequency / 2pi

= 1.03Hz

(c) Maximum speed is when object's potential energy is at minimum.

1/2*mass*speed^2 = 1/2*force constant*displacement^2

speed^2 = 75*0.2^2/1.8 = 1.67

speed = sqrt (1.67)

= 1.29 m/s

(d) It occurs at x=0

(e) Maximum acceleration = Force / m = 15/1.8

= 8.33 m/s^2

(f) It occurs at x=0.2m

Answer:

Explanation:

given:

The mass of the object attached to the spring: m = 1.80 kg

The magnitude of the maximum horizontal force exerted: F = 15.0 N

The amplitude of the spring-object oscillation: A = 0.200 m

a. k=15/.2=75N/m

b. (2pi*frequency)^2 = k/m = 75/1.8 = 41.67

frequency = 1.03Hz

c. max speed^2 = amplitude^2*k/m = 0.2^2 * 41.67

max speed = 1.29 m/s

d. x=0m

e. max accel = F/m = 15/1.8 = 8.33 m/s^2

f. x=0.2m

e. energy = 1/2*k*A^2

= 1/2*75*0.2^2

= 1.5J

A bag of marbles is hanging motionless on a spring scale. What prevents the bag from falling?​

Answers

Answer:

The vector sum of all forces acting on it is zero, its at equilibrium.

Explanation:

The bag of marbles hanging on a spring scale applies its weight downwards, which was counterbalanced by the reaction from the spring scale (obeying the Newton's third law of motion). And since no external forces are applied to the system, thus the equilibrium of the system.

If the weight of the bag is greater than the reaction from the spring scale, the scale breaks and the system would not be balanced.

How do you find the velocity of a moving car?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

Explanation:

hope this helps a little bit sorry if i got it wrong

A roller coaster has a mass of 250 kg,
and is 50 meters above the ground, what
is the potential energy?

Answers

Potential Energy = mass x gravity x height
PE = mgh
PE = 250kg x 9.8 m/s^2 x 50m
PE = 118,750 joules = 118kJ

A roller coaster has a mass of 250 kg, and it is 50 meters above the ground, then the potential energy will be equal to 122.5 KJ.

What is Potential energy?

Potential energy is a type of energy stored that depends on the interaction between various substances. A spring's energy rises when it is crushed or expanded. A steel ball has more energy stored if it is lifted just above the floor as contrasted to dropping to the ground. As raised, it can do greater labor.

Instead of being a property of specific entities or atoms, potential energy is a property of systems. For instance, a system made up of Earth and the raised ball has far more stored energy as they move apart.

In system components, where the configurations, or spatial arrangements, dictate the magnitude of the forces that apply against one another, potential energy arises.

From the data given in the question,

Mass, m = 250 kg

Height, h = 50 meters and,

g = 9.8 m/s²

[tex]Potential energy(PE)=mgh[/tex]

PE = 250 × 50 × 9.8

PE = 122500 J or,

PE = 122.5 KJ.

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A baseball sits motionless near first base on a baseball diamond. What statement best explains why the baseball remains motionless?

A. The forces acting on the baseball are all balanced.
B. There are no forces acting on the baseball.
C. The dirt is placing an unbalanced force on the baseball.
D. The force on the baseball is unbalanced due to gravity.

Answers

Answer:

B

Explanation:

There are no forces acting in the baseball

Thomas helps his older brothers, who own a junk yard, on the weekends to earn extra money. He likes to help them push broken-down cars to the back of the junk yard because it makes him feel strong. Last Saturday, they pushed three cars with different weights, and he noticed he used different amounts of force for each one. The cars were the following weights:white car: 2,700 poundsred car: 1,500 poundsblue car: 2,100 poundsThink about how much force is needed to move each car. Which correctly organizes the cars in order from the most to least amount of force needed to move them

Answers

Answer:

white, blue and red

Explanation:

Force is given by

[tex]F=ma[/tex]

where

m = Mass of object

a = Acceleration of the object

If the acceleration is same for all the cars the force needed to be applied will depend on the mass of the car. The heaviest car requiring the most force and the lightest car requiring the least amount of force.

Here, the weight of the cars in descending order is white, blue and red.

So, the cars in order from the most to least amount of force needed to move them is white, blue and red.

A decibel measures the _____________ of sound.

A.pitch

B,frequency

C.loudness

D.amplitude

Answers

Decibels measure sound intensity- which would be D. Amplitude.

At am outdoor market, a bunch of bananas is set into oscillatory motion with an amplitude of 29.8981 cm on spring with a spring constant

Answers

Answer:

Hello your question lacks some very vital information hence I will give you a general equation where you can input the missing values and get your answer

answer :  mass of Bananas ( m ) = [tex]\frac{A^2}{V^2} * K[/tex]

To calculate for weight of Bananas  = m * g      where g = 9.8

Explanation:

Given an amplitude ( A )= 29.8981

Spring constant = x ( unknown )

maximum speed of Bananas( v ) = wA  ( unknown )

question : calculate the weight of the bananas

First  step : calculate the period of oscillation

T = [tex]\frac{2\pi }{vA}[/tex] --- ( 1 )

next step : express T in terms of mass ( m ) of the bananas

= [tex]2\pi \sqrt{\frac{m}{k} } = \frac{2\pi }{vA}[/tex]

∴ m/k = A^2 / v^2

hence  mass of Bananas ( m ) = [tex]\frac{A^2}{V^2} * K[/tex]

To calculate for weight = m * g

An object has an acceleration of 18.0 m/s/s. If the net force acting upon this object were doubled, then its new acceleration would be m/s/s.​

Answers

Answer:

36.m/s/s

Explanation:

Why would you have trouble breathing at high altitudes?
A. it is colder at the top of a mountain
B. the oxygen molecules are spread farther apart
C. the oxygen molecules are closer together

Answers

Answer:

A. It is colder at the top of a mountain

Explanation:

The image shows the magnetic field lines around a magnet.
Which statements are true for this magnet?

- the right pole is the south pole

- the left pole is the south pole

- the left pole is the north pole

- the right pole is the north pole

Choose all that apply

Answers

Answer:

The right pole is the south pole

The left pole is the north pole

Explanation:

Reason : -

Magnetic field lines emerge from North pole to South pole in a bar magnet.


What net force would be required for a 50.5 kg wolf to accelerate at 5.0 m/s^2

Answers

Answer:

[tex]\boxed {\boxed {\sf 252.5 \ Newtons }}[/tex]

Explanation:

Force is the push or pull on object that can cause different things, like acceleration. According to Newton's 2nd Law of Motion, it is the product of mass and acceleration.

[tex]F=m*a[/tex]

The mass of the wolf is 50.5 kilograms and the acceleration is 5.0 meters per square second. Therefore:

[tex]m= 50.5 \ kg[/tex][tex]a= 5.0 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 50.5 \ kg * 5.0 \ m/s^2[/tex]

Multiply.

[tex]F=252.5 \ kg*m/s^2[/tex]

1 kilogram meter per square second is equal to 1 Newton. Our answer of 252.5 kg*m/s² is equal to 252.5 Newtons.

[tex]F= 252.5 \ N[/tex]

The force required is 252.5 Newtons.

Find the tension in the two groups that are holding the 2.9 kg object in Pl., One makes an angle of 35.6° with respect to the vertical group 2 is pulling horizontally

Answers

Answer:

≈ 20.35 N [newton's of tension]

Explanation:

( (2.9 × 9.8) ÷ cos(35.6°) ) × sin (35.6°) =

( (28.42) ÷ (≈0.813) ) × (≈0.582) =

(≈34.96) × (≈0.582) = 20.3449446.... ≈ 20.35

WILL MAKE BRAINLIEST! How does Hooke’s law help us understand the force and energy in elastic materials?

Answers

Answer:

How does Hooke’s law help us understand the force and energy in elastic materials?:

When the elastic materials are stretched, the atoms and molecules deform until stress is been applied and when the stress is removed they return to their initial state

Explanation:

Which nucleus completes the following equation?

Answers

Answer:

B. [tex]\frac{218}{85} At[/tex]

Explanation:

A P E X

The nucleus that completes the following equation is ²²⁶Ac₈₉

²²²Fr₈₇ →⁴He₂ +  ²²⁶Ac₈₉

Therefore the correct answer is option C.

What is radioactive decay?

The phenomenon of Radioactive decay is a type of nuclear reaction in which the unstable nucleus of a radioactive element lose energy in the form of nuclear radiation, some examples of radioactive decay are alpha decay, decay, and beta decay.

The complete equation for the nuclear reaction is

²²²Fr₈₇ →⁴He₂ +  ²²⁶Ac₈₉

For the given problem the nucleus completes the given equation is  ²²⁶Ac₈₉. The correct answer is option C.

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EASY QUESTION IM GIVING BRAINLIEST!!
20 PTS

Answers

Maybe stainless steel :)

En las olimpiadas del 2012 del colegio villapalos maria gano la carrera de los 100 m en 10,56 s y la de 200 m en 22,34 s ¿en cual fue mas veloz

Answers

Answer:

Fue mas velóz en los 100 m.

[tex]v_{1}=9.47\: m/s[/tex]

Explanation:

Tomando en cuanta que la definición de velocidad es:

[tex]v=\frac{\Delta x}{t}[/tex]

Donde:

Δx es el desplazamientot es el tiempo

La primera velodcidad esta dada por:

[tex]v_{1}=\frac{100}{10.56}[/tex]

[tex]v_{1}=9.47\: m/s[/tex]

La segunda velocidad sera:

[tex]v_{1}=\frac{200}{22.34}[/tex]

[tex]v_{1}=8.95\: m/s[/tex]

Por lo tanto, en el primer tramo fue más rápido.

Espero te haya ayudado!

A toy gun uses a spring to shoot plastic balls (m = 50 g). The spring is compressed by 3.0 cm. Let k=2.22 × 105 N/m. (a) Of course, you have to do some work on the gun to arm it. How much work do you have to do? (b) Suppose you fire the gun horizontally. How fast does the ball leave the gun? (c) Now suppose you fire the gun straight upwards. How high does the ball go?

Answers

Answer:

Explanation:

Given that:

mass of the plastic ball = 50 g = 50 × 10⁻³ kg

spring constant (k) = 2.22 × 10⁵ N/m

compression of spring (x) = 3.0 cm = 3 × 10⁻² m

a) Work done:

[tex]= \dfrac{1}{2}kx^2 \\ \\ = \dfrac{1}{2}\times 2.22 \times 10^{5}\times (3 \times 10^{-2})^2 \\ \\ = 99.9 \ J[/tex]

b) When the gun is fired horizontally;

In the spring, the potential energy is changed to kinetic energy.

i.e.

[tex]\implies \dfrac{1}{2}kx^2 = \dfrac{1}{2}mv^2 \\ \\ 2.22 \times 10^5 \times (3\times 10^{-2}) ^2 =50 \times 10^{-3} \times v^2\\ \\ \mathbf{v= 63.2 m/s}[/tex]

c) The max height the bullet will reach if the gun is being shot upward is:

[tex]H_{max}= \dfrac{v^2}{2g} \\ \\ H_{max}= \dfrac{63.2^2}{2\times 9.8}[/tex]

[tex]\mathbf{H_{max}= 203.9 \ m}[/tex]

Highlight two factors which shows that heat from the sun does reach the earth's surface by convection.

Answers

radiation

when the suns radiation fall on the earth and its objects they receive heat energy and hence get heated. Thus the suns heat reaches the earth by. the process of radiation

Absence of medium is the factor which shows that heat from the sun does reach the earth's surface by convection.

The heat of the sun reaches the earth only through radiation because radiation does not require any medium for the transfer of energy but convection and conduction required a medium to transfer heat energy.

We know that there is no medium present in vacuum so convection and conduction are impossible in a vacuum that's why the sun's heat does not reach the earth by conduction or convection.

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Which of the following ways of writing 1000w is incorrect?
1) 1 kW
2) 1 x 10³ W
3) 10 x 10³ W
4) 1.0 x 10³ W

Answers

Answer:

the third one is incorrect

Explanation:

10 x 10³= 10^1 x 10^3 = 10^4

Which of the following terms describes the area where the Himalaya Mountains formed?

A.Divergent Boundary
B.Convergent Boundary
C. Subductive Zone
D. Transform Boundary

Answers

Answer:

B

Explanation:

The Himalayan Mountains formed at a convergence plate boundary between the Eurasian plate and the Indian plate.

Please help!! I’m in a rush :(

Answers

Kinetic energy is a form of energy that an object or particle has by reaction of its motion.

A charge of +3.5 nC and a charge of +5.0 nC are separated by 40 cm. Find the equilibrium position for a -6.0 nC charge.

Answers

Answer: [tex]18.22\ cm[/tex] from [tex]3.5\ nC[/tex] charge.

Explanation:

Given

The magnitude of the first charge is  [tex]Q_1=3.5\ nC[/tex]

The magnitude of the second charge is [tex]Q_2=5\ nC[/tex]

[tex]-6\ nC[/tex] charge must be placed in between the two charges to establish equilibrium

The electrostatic force is given by

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

Equilibrium will be established when force by both the charges balance out each other. Suppose [tex]-6\ nC[/tex] is placed at a distance of [tex]x[/tex] cm from [tex]3.5\ nC[/tex] . So, we can write

[tex]\Rightarrow \dfrac{k(3.5)(-6)}{x^2}=\dfrac{k(5)(-6)}{(40-x)^2}[/tex]

Canceling similar terms

[tex]\Rightarrow \left [ \dfrac{40-x}{x}\right ]^2=\dfrac{10}{7}\\\\\Rightarrow \dfrac{40-x}{x}=\sqrt{\dfrac{10}{7}}=1.195\\\\\Rightarrow 40-x=1.195x\\\Rightarrow 40=2.195x\\\Rightarrow x=18.22\ cm[/tex]

Thus, the equilibrium position is [tex]18.22\ cm[/tex] from [tex]3.5\ nC[/tex] charge.

Answer:

What school do you go to?

Explanation:

An object has an angular velocity of 1.0 rad and an angular acceleration of 0.5 rad/s. Is the speed of its rotation increasing or decreasing?

Answers

Answer:

increasing

Explanation:

Given that,

Initial angular speed =1 rad/s

Angular acceleration = 0.5 rad/s²

We know that the angular acceleration is given by :

[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}[/tex]

Where

[tex]\omega_f[/tex]city and t is time is the final angualr velo

As the angular acceleration of the object is positive. It means that the final speed of the object is more than that initial. As a result, the speed of its rotation is increasing.

What is the power of a refrigerator with voltage 110 V and
current 0.8 A?

Answers

Answer: 88

Explanation:

A firework is launched with a force of 700 N and a momentum of 200 kg-m/s. How much time before is explodes?

Answers

Answer:

t = 0.28 seconds

Explanation:

Given that,

Force acting on a firework, F = 700 N

The momentum of the firework, p =200 kg-m/s

We need to find the time before it explodes. Ket the time be t. We know that, the rate of change of momentum is equal to external frce. So,

[tex]F=\dfrac{P}{t}\\\\t=\dfrac{P}{F}\\\\t=\dfrac{200}{700}\\t=0.28\ s[/tex]

So, the required time is equal to 0.28 seconds.

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