Se tiene un objeto que oscila con MAS. Si la amplitud del movimiento es de 15 cm y el periodo es de 2 seg, encontrar las magnitudes de la velocidad y la aceleración cuando: a) x= 0 cm b) x=7,5 cm Por favor, ayúdenme es para hoy :c

Answers

Answer 1

Answer:

a)   v = 0,  a = - 15 pi²

b) v = - 40.8 cm / s,  a = -74.2 cm / s

Explanation:

the simple harmonic motion is described by the expression

        x = A cos (wt + Ф)

in that case they indicate the amplitude of the movement

        A = 15 cm

angular velocity and period are related

        w = 2π / T

         w = 2π/ 2

         w = π rad / s

speed is defined by

         v = dx / dt

          v = -A w sin (wt + Ф)

acceleration is defined by

         a = dv / dt

         a = - A w² cos (wt + Ф)

In order to evaluate this expression we must know the value of the phase constant (Ф) that meets the initial conditions, the most common thing is that the system is released, v = 0 for y = 0 s, let's use the speed equation

          v = -A w sin (0+ Ф)

           

for this expression to be zero, the sine must be zero, so

         Ф= 0

now let's write the equations for our case

         v = - 15 π sin (π t)

         a = - 15 π² cos (π t)

a) for x = 0

          v = 0

          a = - 15 pi²

b) for x = 7.5 cm

Let's find out how long it takes to get to this position

          x = 15 cos (π t)

          7.5 / 15 = cos π t

          pi t = cos⁻¹ 0.5

          t =  1.047/π

don't forget that the angles are in radians

          t = 0.333 s

now let's look for speed and acceleration

         v = - 15 π sin (π 0.333)

         v = - 40.8 cm / s

         a = - 15 π² cos (π 0.333)

         a = -74.2 cm / s


Related Questions

A 1220-w hair dryer is used by several members of the family for a total of 30 min per day during a 30 day month. How much elecrical energy is consumed by the hair dryer during the month give your answer in kilowatt hours

Answers

Answer:

Energy = 18.3 Kilowatt-hour

Explanation:

Given the following data;

Power = 1220 Watts

Time = 30 * 30 = 900 minutes to hours = 900/60 = 15 hours

To find the energy consumption;

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

Making energy the subject of formula, we have;

Energy = power * time

Energy = 1220 * 15

Energy = 18300 Joules

To convert energy to Kilowatt-hour;

Energy = 18300/1000

Energy = 18.3 Kilowatt-hour

Which statement is best supported by the information in the chart? Wave Y is moving the fastest. Wave X is moving the fastest. All of the waves are moving at the same speed. All of the waves have the same value of wavelengths per second.

Answers

Answer:

Wave x is moving the fastest.

Explanation:

Answer:

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Explanation:

Which energy transformation occurs in plants, allowing them to make food?

Answers

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The average mass of an adult American female is 75 kilograms. What is the weight of
the average female in pounds?

Answers

Answer:

with 75kg --> 165.35 pound(lb)

Explanation:

[tex] \frac{75}{0.45359237} [/tex]

The average weight is 165 pounds since 1 kilo is 2.2 lbs. 2.2*75=165

An object has a mass of 10grams and a volume of 20m3. what is the density of the object​

Answers

Explanation:

density = mass/ volume

in the question the mass is given in grams so will convert it into kg,

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Explain the effects of expansion of water on aquatic life​

Answers

Answer:

The anomalous expansion of water helps preserve aquatic life during very cold weather. When temperature falls, the top layer of water in a pond contracts, becomes denser and sinks to the bottom. If the temperature falls further, the top layer expands and remains on the top till it freezes.

You are trying to get a sailboat to land on the shore. Do you think it would it be easier during the day or night and why?

Answers

Answer:

Day

Explanation:

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Answer:night

Explanation:

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What 3 things do you need to make an electromagnet ?

Answers

Answer:

1. Battery

2. Copper wire

3. Nail or piece of metal (zinc, iron, or steel).

Answer:

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Which statements about the geocentric model are false? Select the two correct answers.
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B. It shows the Sun at the center of the solar system.
C. It shows Earth at the center of the solar system.
D. It shows the orbits of the planets as circular.

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Answer:

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Explanation:

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A string of length Lis clamped at each end. It CAN'T vibrate with a 1
equal to

Answers

Answer:

4L is the answer

Explanation:

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3N : to the left
5 N : to the right
Answers to choose from:
2 N Right
BN
2 N Left
5 N Right

Answers

2 N Right

.. .. .. .. .. .. .. ..

Answer:

2 N Right

Explanation:

Net force = 5 - 3

= 2 N to the Right

Does earths Roation causes gravity?​

Answers

Answer:

he gravity of Earth, denoted by g, is the net acceleration that is imparted to objects due to the combined effect of gravitation (from mass distribution within Earth) and the centrifugal force (from the Earth's rotation )

A solenoid coil 10cm long has 40 turns cm-1. The current rises from zero to its maximum value of 5.0000 A and 0000.01s when the switch is closed. Find the energy stored in magnetic field if the area of cross section of solenoid be 28 centimeter square.

Answers

Answer:

Explanation:

Energy stored in a solenoid per unit volume = B₀² / (2μ₀)

B₀= μ₀ n I₀

n is no of turns per unit length .

Energy stored in a solenoid per unit volume = ( μ₀ n I₀)² / (2μ₀)

=μ₀n²I₀²/2

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I₀ = 5000A .

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In 1993, the gold reserves in the United States were about 8.490 × 106
kg. If all
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Answers

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What is Resistor?

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To find the equivalent resistance of the circuit, we need to use the formula for resistors in parallel:

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1/Req = 0.01515

Req = 65.98 Ω

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Answers

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Explanation: i just took the test! :) hope this helps

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Answers

Answer:

Surface tension.

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particles of the wall
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Answer:

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The inventor of the electric cell was:
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o Gilbert
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Answers

Answer:

The inventor of the electric cell was:

Alessandro Volta (in other words, Volta)

Explanation:

Answer:

Volta

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Brainliest plsss

Explanation:

Alessandro Volta, in full Conte Alessandro Giuseppe Antonio Anastasio Volta, (born February 18, 1745, Como, Lombardy [Italy]—died March 5, 1827, Como), Italian physicist whose invention of the electric battery provided the first source of continuous current

Brainliest for correct answer :)
An object travelling for 20 seconds initially travels at 10ms-1 and increases its speed to 40ms-1 what is its acceleration?

Answers

Answer:

Acceleration a =-1.75 m/s²

Explanation:

Given:

Initial speed u = 24 m/s

Final speed v = 10 m/s

Time taken t = 8 sec

Find:

Acceleration a

Computation:

a = (v-u)/t

a = (10-24)/8

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Question 1
4
An object is located 90 m in front of a lens. An image is produced 40 m away from the
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Answers

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1/f ≈27.7m

how does increasing and decreasing the temperature affect the kinetic energy of molecules?​

Answers

Answer:

Amontons's law. If the temperature is increased, the average speed and kinetic energy of the gas molecules increase. ... If the gas volume is decreased, the container wall area decreases and the molecule-wall collision frequency increases, both of which increase the pressure exerted by the gas

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Answer:

The gravity is pulling the diver downwards but the rotation of the body means gravity cant pull him down as quickly

Explanation:

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Answers

Answer:

Electricity comes from power generation plants (some homes have solar cells which produce most of the electricity

Older plants use coal and gas as fuels for power generation (if you see a train go thru with 100 or so cars loaded with coal, that may be from Wyoming and going to a coal fired plant)

Wind farms are becoming more plentiful and produce some portion of the electricity generated

Solar cell farms are also used to produce a small portion of electricity

Heat pumps can use geothermal sources (heat from the ground)

Wave motion of water can also be used to produce electricity

describe the shape of a screw

Answers

Answer:

The shape of a screw is a cylindric shape that grows in diameter at the top. Along the cylindar portion, it has horizantal ridges that circulate around the screw.

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Una carga de 4 nC es transportada desde el suelo hasta la superficie de una esfera cargada con un trabajo de 7 X 10-5 j. Determinar el potencial eléctrico de la esfera

Answers

Respuesta:

2 × 10⁴ V

Explicación:

Paso 1: Información provista

Carga transportada (q): 4 nCTrabajo realizado (W): 7 × 10⁻⁵ J

Paso 2: Convertir q a Coulomb

Usaremos el factor de conversión 1 C = 10⁹ nC.

4 nC × 1 C/10⁹ nC = 4 × 10⁻⁹ C

Paso 3: Calcular el potencial eléctrico (V) de la esfera

Usaremos la siguiente fórmula.

V = W/q

V = 7 × 10⁻⁵ J/4 × 10⁻⁹ C = 2 × 10⁴ V

Calcula la cantidad de calor que hay que darle a 0,01 l de mercurio para que su temperatura pase de 10 ºC a 25 ºC. Datos: rho=13,6 g/cm3 ; Ar(Hg)=200,6; C=28,1 J/(mol∙K).

Answers

Respuesta:

286 J

Explicación:

Paso 1: Convertir 0,01 L de Hg a cm³

Usaremos los siguientes factores de conversion.

1 L = 1000 mL

1 mL = 1 cm³

0,01 L × 1000 mL/1 L × 1 cm³/1 mL = 10 cm³

Paso 2: Calcular la masa (m) correspondiente a 10 cm³ de Hg

La densidad de Hg es 13,6 g/cm³.

10 cm³ × 13,6 g/cm³ = 136 g

Paso 3: Calcular los moles(n) correspondientes a 136 g de Hg

La masa molar de Hg es 200,6 g/mol.

136 g × 1 mol/200,6 g = 0,678 mol

Paso 4: Calcular la cantidad de calor requerido (Q)

Usaremos la siguiente fórmula.

Q = c × n × (T₂ - T₁)

donde,

c: calor específico del Hg (28,1 J/mol.K = 28,1 J/mol.K)

T₂ y T₁: temperaturas final e inicial, respectivamente

Q = (28,1 J/mol.°C) × 0,678 mol × (25°C - 10 °C) = 286 J

A van accelerates from 4m/s to 20m/s in 8s. How far does it travel in this time?​

Answers

Answer:

96 m

Explanation:

Given,

Initial velocity ( u ) = 4 m/s

Final velocity ( v ) = 20 m/s

Time ( t ) = 8 s

Let Acceleration be " a ".

Formula : -

a = ( v - u ) / t

a = ( 20 - 4 ) / 8

= 16 / 8

a = 2 m/s²

Let displacement be " s ".

Formula : -

s = ut + at² / 2

s = ( 4 ) ( 8 ) + ( 2 ) ( 8² ) / 2

= 32 + ( 2 ) ( 64 ) / 2

= 32 + ( 2 ) ( 32 )

= 32 + 64

s = 96 m

Therefore, it travels 96 m in time 8 s.

a sample of alien goo has a density of 45g/cm^3 and a volume of 10cm^3. What is its mass?

Answers

Answer:

mass= 4.5 g

Explanation:

density = mass/ volume

given :

density = 45 gm/cm^3

volume = 10cm^3

now

45 = mass / 10

45/10 = mass

mass = 4.5 g

If the player in the attached figure wants to kick the ball as far as possible (the greatest range R), what is the angle he should kick the ball at?

Answers

°45

Explanation: plz let me know if this is right

My next photo
How's it​

Answers

Answer:

Good............................

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