Define Simple harmonic motion (SHM). A body moving with SHM has an amplitude of 10 cm and a frequency of 100 Hz. Find (a) the period of oscillation (b) the acceleration at the maximum displacement (c) the velocity at the centre of motion.

Answers

Answer 1

Answer:

Explanation:

Simple harmonic motion is the motion that involves the cyclic and periodic motion of an object about a central point or equilibrium position, due to the effect of a restoring force, such that the object has the same maximum displacement during its motion on either side of the equilibrium point

(a) The parameters of the body moving with SHM are;

The amplitude of the motion of the body, a = 10 cm

The frequency of the complete cycles of the motion of the body, f = 100 Hz

The period of the oscillation, 'T', is the time it takes o complete one cycle

T = 1/f

∴ T = 1/100 Hz = 0.01 seconds

(b) The acceleration, a = -A·ω²·sin(ω·t)

Where;

One complete oscillation is given as ω·t = 2·π

Therefore at either end at the maximum displacement, which is at either end of the equilibrium position is reached at half a complete cycle, or ω·t = 2·π/2 = π

At the maximum displacement a = -A·ω²·sin(ω·t) = A·ω²·sin(π) = 0

Therefore, we have;

The acceleration, of the body at the maximum displacement, a = 0 m/s².


Related Questions

write any three reasons to separate the mixtures?​

Answers

Answer:

people separate mixtures in order to ger a specific substance that they need. 2. the other thing people separate mixtures to remove the unrequired components. 3.To get a pure substance

Explanation:

hope this helps probably don't because you asked this a week ago but have a good day :) ❤

1. List a similarity between magnetic force and electrical force.

Answers

Answer:

Both are attractive as well as repulsive.

Explanation:

(Like poles repel, like charges repel; unlike poles attract, unlike charges attract).

There are two types of charges that form electric fields: positive and negative charges. Magnetic fields are formed by charges and are related with two magnetic poles, north and south (but moving charges).

The attraction and repulsion of electric charges produce both electric and magnetic fields.

The force released by magnets when they attract or repel each other is known as magnetism. An electric force is the attracting or repulsive interaction between any two charged things.

Similarities are as follows:

There are two types of charges that form electric fields: positive and negative charges. Magnetic fields are formed by charges and are related with two magnetic poles, north and south (but moving charges).The attraction and repulsion of electric charges produce both electric and magnetic fields.

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A 10.0 kg bowling ball is moving at 10 m/s when it strikes a 20 kg bowling pin. After the collision,

the pin moves forward at 15 m/s. How fast is the ball moving after it hits the pin?

Answers

Answer: 20 m/s

Explanation:

Given

mass of bowling ball m=10 kg

Mass of bowling pin M=20 kg

The initial velocity of ball u=10 m/s

The velocity of the pin after collision [tex]v_2=15\ m/s[/tex]

Conserving linear momentum as there is no external force applied

[tex]mu=mv_1+Mv_2\quad \quad (v_1=\text{velocity of ball after collision})[/tex]

[tex]10\times10=10\times v_1+20\times15\\10v_1=100-300\\v_1=-20\ m/s[/tex]

i.e. ball started moving in the direction opposite of its initial direction with a velocity of 20 m/s

The ball moves backwards with a velocity of -20m/s

The data given are;

m[tex]_1[/tex] = 10kgm[tex]_2[/tex] = 20kgu[tex]_1[/tex] = 10m/sv[tex]_1[/tex] = ?v[tex]_2[/tex] = 15m/sLaw of conservation of linear momentum

This law states that assuming no external forces are acting, when two bodies collide together, the sum of their initial momentum remains constant and it's not changed by their collision.

Applying the law of conservation of linear momentum

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2\\(10*10) + (20*0) = (10*v_1)+(20*15)\\100+0=10v_1+300[/tex]

collect like terms

[tex]100=10v_1+300\\100-300=10v_1\\-200=10v_1\\v_1=\frac{-200}{10}\\v_1=-20m/s[/tex]

This shows that the balls moves backwards hence the reason why it have a negative velocity.

From the calculation above, the ball moves backwards with a velocity of -20m/s.

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what is mks system and cgs system

Answers

Answer:

The MKS system of units is a physical system of measurement that uses the metre, kilogram, and second (MKS) as base units. Adopted in 1889, use of the MKS system of units succeeded the centimetre–gram–second system of units (CGS) in commerce and engineering.

Dos cargas electrica 6x10°6 C Y 3X10°6 C se encuentra sepadas 0,5 m. ¿Cual es la Magnitud de la fuerza de atraccion entre las cargas?

Answers

Answer:

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

Explanation:

La fuerza eléctrica de atracción entre dos partículas cargadas eléctricamente es determinada por la ley de Coulomb, la cual dice que la fuerza eléctrica es directamente proporcional a la carga eléctrica e inversamente proporcional de la distancia entre las partículas. Matemáticamente hablando, la formula es descrita a continuación:

[tex]F = \kappa\cdot \frac{q_{A}\cdot q_{B}}{r^{2}}[/tex] (1)

Donde:

[tex]F[/tex] - Fuerza electrostática, medida en newtons.

[tex]\kappa[/tex] - Constante electrostática, medida en newton-metros cuadrados por Coulomb cuadrado.

[tex]q_{A}[/tex], [tex]q_{B}[/tex] - Cargas eléctricas, medidas en Coulomb.

[tex]r[/tex] - Distancia entre partículas, medidas en metros.

Si sabemos que [tex]\kappa = 9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}[/tex], [tex]q_{A} = 6\times 10^{-6}\,C[/tex], [tex]q_{B} = 3\times 10^{-6}\,C[/tex] y [tex]r = 0.5\,m[/tex], entonces la magnitud de la fuerza de atracción entre las cargas es:

[tex]F = \left(9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot \frac{(6\times 10^{-6}\,C)\cdot (3\times 10^{-6}\,C)}{(0.5\,m)^{2}}[/tex]

[tex]F = 0.648\,N[/tex]

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

James Bond is unconscious in a 1000kg car full of explosive on a very dangerous road. After starting from rest at the top of the hill (point A), the car reaches the flat (horizontal) part of the road. At the beginning of the flat(horizontal) part, Bond regains the consciousness and applies brakes. The car skids across the horizontal road while slowing. The car, full of explosive, stops just as it reaches the far edge of the 50 m flat (horizontal) part of the road. What constant breaking force would have to be applied for the car to make a safe stop in a horizontal distance of 50 m?

Answers

Answer:

F = 19600 N

Explanation:

After reading this interesting exercise, I think you are missing the diagram, but we are going to solve them assuming the height of the hill, point A of about h = 100m.

Let's start by using the concepts of energy, to find the speed at the bottom of the hill

Starting point. Point A highest part of the colima

         Em₀ = U = m g h

Final point. Flat part.

         [tex]Em_{f}[/tex] = k = ½ m v²

as they tell us that there is no friction, energy is conserved

        Em₀ = Em_{f}

        mgh = ½ m v²

        v = √2gh

let's calculate

        v = √ (2 9.8 100)

         v = 44.27 m / s

Now we can use the scientific expressions, when it stops its speed is zero

         v² = v₀² - 2 a x

          0 = v₀² - 2ax

          a = [tex]\frac{ v_{o}^2 }{2x}[/tex]

          a = [tex]\frac{ 44.27^{2} }{ 2 \ 50}[/tex]

          a = 19.6 m / s²

with this acceleration we use Newton's second law

           f = m a

           F = 1000 19.6

           F = 19600 N

Mary is investigating the densities of objects. She is going to use the table below to record her results. Which of these can she find using a ruler?

Answers

answer

block of aluminium

Block of aluminum investigating the densities of objects. She is going to use the table below to record her results.

What is a block of aluminum?

A block of Aluminum is a block added by Tinkers' Construct. Block of Aluminum is primarily used as a storage block for Aluminum Ingots but may also be used as decoration.

What are 3 uses of aluminum?

Aluminum is used in a huge variety of products including cans, foils, kitchen utensils, window frames, beer kegs, and airplane parts. This is because of its particular properties.

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Which is faster a velocity of + 3 m /s or -4 m / s

Answers

Answer: Velocity of 3m is the faster

Explanation: Velocity of 3m is the faster because velocity of -4m goes in an opposite direction to positive velocities

A farmer designs a corn plant that produces multicolored kernels by crossing a plant that has yellow kernels with a plant that has red kernels? Which of these describes the process the farmer uses? А. Natural selection B. Selective breeding C. Genetic engineering D. Asexual reproduction​

Answers

Answer:

b

Explanation:

B is the answer because Selective breeding is taking two organisms and crossing them.

Planet X has twice earths mass and three times earths radius. The magnitude of the gravitational field near planet X’s surface is most nearly.

Answers

Answer:

2 N/kg

- The explanation for it is quite complicated, especially to type it out but I hope this helps.

The magnitude of the gravitational field should be 2 N/kg.

Calculation of the magnitude of the gravitational field:

Since Planet X has twice earths mass and three times earths radius.

So,

we know that  

[tex]g = GM\div r^2[/tex]

here, G = gravitational constant

M = mass of the planet

r = radius of the planet

So,

[tex]g\div gx = (M1\div M2) \times (r2\div r1) ^{2}\\\\9.8\div gx = (1\div 2) \times (3\div 1) ^2\\\\gx = 2.18 m/s^2[/tex]

So it is nearly 2 N/kg

hence, The magnitude of the gravitational field should be 2 N/kg.

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Sergei uses a lever to lift a heavy rock. He obtains a 2.5m lever and places the fulcrum 0.7m from the rock. What is the ideal mechanical advantage of Sergei's lever?

Answers

Answer:

m = 3.57

Explanation:

Given that,

Sergei uses a lever to lift a heavy rock. He obtains a 2.5m lever and places the fulcrum 0.7m from the rock.

We need to find the ideal mechanical advantage of Sergei's lever.

It is equal to the ratio of resistance arm to the effort arm. In terms of length it is given by :

[tex]m=\dfrac{d_2}{d_1}\\\\m=\dfrac{2.5}{0.7}\\\\=3.57[/tex]

So, the ideal mechanical advantage of the lever is 3.57.

Dos cargas eléctrica 6x10°6 C Y 3X10°6 C se encuentra sepadas 0,5 m. ¿Cual es la Magnitud de la fuerza de atracción entre las cargas?

Answers

Answer:

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

Explanation:

El enunciado escrito correctamente se presenta a continuación:

Dos cargas eléctricas de polaridades opuestas entre sí y con magnitudes [tex]6\times 10^{-6}\,C[/tex] y [tex]3\times 10^{-6}\,C[/tex] se encuentran separados 0.5 metros. ¿Cuál es la magnitud de la fuerza de atracción entre las cargas?

La magnitud de la fuerza eléctrica entre las dos partículas cargadas eléctricamente se determina mediante la ley de Coulomb, la cual establece que la fuerza eléctrica es directamente proporcional a la carga eléctrica e inversamente proporcional al cuadrado de la distancia. En términos matemáticos, la ecuación de Coulomb se expresa de la siguiente manera:

[tex]F = \frac{\kappa \cdot q_{A}\cdot q_{B}}{r^{2}}[/tex] (1)

Donde:

[tex]\kappa[/tex] - Constante electrostática, medida en newton-metros cuadrados por Coulomb cuadrado.

[tex]q_{A}[/tex], [tex]q_{B}[/tex] - Cargas eléctricas de cada partícula, medidas en Coulomb.

[tex]r[/tex] - Distancia entre las partículas, medidas en metros.

Si tenemos que [tex]\kappa = 9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}[/tex],  [tex]q_{A} = 6\times 10^{-6}\,C[/tex], [tex]q_{B} = 3\times 10^{-6}\,C[/tex] y [tex]r = 0.5\,m[/tex], entonces la fuerza eléctrica de atracción es:

[tex]F = \frac{\left(9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (6\times 10^{-6}\,C)\cdot (3\times 10^{-6}\,C)}{(0.5\,m)^{2}}[/tex]

[tex]F = 0.648\,N[/tex]

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

Describe the energy of the skier at location W.*

At point W, potential energy is greatest and kinetic energy is least.
At point W, potential energy is least and kinetic energy is greatest.
At point W, potential energy and kinetic energy are the same.

Answers

Answer:

The description of the energy of the skier at point W is,

At point W, potential energy is greatest and kinetic energy is least

Explanation:

The given parameters are;

The highest point of the skier's path = Point W

The lowest point of the skier's path = Point X

The height of the peak after point X = Intermediate between point W and point X

The potential energy of the skier, P.E. = m·g·h

The kinetic energy of the skier, K.E. = 1/2·m·v²

The total mechanical energy of the skier, M.E. = P.E. + K.E.= Constant

Where;

m = The mass of the skier

g = The acceleration due to gravity = 9.8 m/s²

h = The height of the skier

v = The velocity of the skier

Therefore, the P.E. of the skier is highest at the highest point of the skier's path which is the point W, where h = Maximum

Similarly, the potential energy of the skier will be lowest at point X which is the lowest point on the skier's path

From P.E. + K.E. = constant, the kinetic energy will be least at point W, where the potential energy is highest.

Therefore, the description of the energy of the skier at point W is that the potential energy is greatest and kinetic energy is least.

Which model shows how an image appears to a person when they look through a concave lens?

Answers

What models are you talking about

What are the main organs of the respiratory system that are located in the rib cage

Answers

Answer:

Larynx.

Pharynx.

Lungs.

Diaphragm.

Explanation:

Answer:

Larynx, Pharynx, Lungs, and Diaphragm.

Explanation:

Two light bulbs are equally bright, but one has a power of 6 W while the other has a power of 10 W. In one hour the higher power bulb uses J more energy than the lower power bulb.

Answers

If this is a t/f This is true.

If she runs 3,223 meters each day and keeps this up for two weeks, how many miles will she have run

Answers

Answer:

28 miles

Explanation:

3,223 meters/day x 14 days = 45,122 meters

1 meter = 3.28 feet

45,122 meters = 148,000 feet

5280 feet = 1 mile

148,000 feet = 28 miles

Which of the following is not a benefit of being multicellular?

Answers

we can't see multicellular animal with our naked eyes

Hun, you have to put what the following is

Which of Galileo’s discoveries were later used in Newton’s laws?


Select all that apply.


a moving object will keep moving if not stopped

the effect of gravity on different objects

the phases of the moons of Jupiter

the Sun being at the center of the Solar System

please help..

Answers

Answer:

a moving object will keep moving if not stopped

the sun being at the center of the solar system

Explanation:

Galileo is known for being the first person make a telescope, there fore being the first person to see that the sun is in the center of the solar system. he also came up with the theory that if something is pushed, it would keep moving until stopped by another force. For example, say you drop your pencil, it keeps falling until it hits the ground. That is exactly what Galileo did in his  Leaning Tower of Pisa experiment and found that theory to be true.

Galileo’s discoveries were later used in Newton’s laws include the following

below:

A moving object will keep moving if not stoppedThe sun being at the center of the solar system

Galileo was a scientist which invented the telescope and used it to view the

center position of the Sun in the solar system.

He also proposed  that if something is pushed, it would keep moving until

stopped by another opposing force. His discoveries were found to be true

and were later used in  Newton’s laws.

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If an electric circuit has 0 A of current running through it, then the
must be

Answers

Answer:

Voltage, Zero

Explanation:

If an electric circuit has 0 A of current running through it, then the ✔ voltage must be ✔ zero.

Answer:

Voltage, zero

Explanation:

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
-26
-2.
ОООО
2
26

Answers

Answer:

Answer is -2.

Explanation:

I hope it's helpful!

Answer:

neg 2

Explanation:

Learning Task 1: Determine what kind of carbon allotropes are the given pictures
below based on its different structural modifications. Write your answer in a
separate sheet of paper.
1.
2.
3.
4.
5.
6.​

Answers

Answer:

1.C70

2.Fullerene

3.Lonsdaleite

4.Graphite

5.Diamond

6.Amorphous carbon

I hope this helps. thank you

Explanation:

The compound of an element is arranged in a manner in more than one different form.

The example of an allotrope is as follows:-

GraphiteDiamond

The allotropes which are shown in the image is as follows:-

C70 Fullerene Lonsdaleite Graphite Diamond Amorphous carbon

Hence, these are the allotropes.

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WORTH 50 POINTSSSS!!!!!!!! don't lie either if you do I will report your answer and get my points back idc !!!!!!


This political cartoon summarizes proposed legislation to stop immigration into the United States through the use of

A. Income


B. Military force


C. Building a barrier wall


D. Educational requirements

Answers

Answer:

b

Explanation:

How long will it take, in minutes, for a transformer to transfer 2.3 X 10^6 J of energy from a 120-V circuit to a 345-V circuit with a current of 1.5 A?

Answers

Answer:

e

Explanation:

It will take 74.07 minutes, for a transformer to transfer 2.3 X 10^6 J of energy from a 120-V circuit to a 345-V circuit with a current of 1.5 A

What is power?

The rate of doing work is known as power. The Si unit of power is the watt.

Power =work/time

The mathematical expression for the power is as follows

P = VI

where P is the power

V is the voltage

I is current passing through the circuit

For a transformer to transfer 2.3 X 10^6 J of energy from a 120-V circuit to a 345-V circuit with a current of 1.5 A

Power on the delivery side of the transformer by using the above formula

P = VI

P= 345 V × 1.5 A

P= 517.5 watt

Power = electrical energy /time

517.5 watt = 2.3 X 10^6 J / time

time = 4444.44 seconds

       =74.07 minutes

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A student is creating a table with properties of electromagnetic and mechanical waves.

Answers

Answer:

The property of the wave marked X is related to the source of the wave

Explanation:

The source of of origin of waves

Electromagnetic wave are waves that consists of varying electric and magnetic field that vibrate perpendicular to each other and to the direction of propagation of the wave and they are therefore transverse waves and transfer energy

Electromagnetic waves originate from the vibration of charged particles that gives off varying electric and magnetic fields

Mechanical waves are defined as waves that require a material medium such as air, water, metal, plastic, stretched leather, or wood to propagate

Mechanical waves originate from vibration of the particles of a medium

Sound waves which is a form of longitudinal mechanical waves that propagates by the vibration of the particles of a given medium about a point parallel to the direction of propagation of the wave.

A 20-kilogram child is riding on a 10-kg sled over a frictionless icy surface at 8.0 meters per second. Calculate the kinetic energy of the sled with the child.

Answers

Answer:

K = 960 J

Explanation:

Given that,

Mass of a child = 20 kg

Mass of a sled = 10 kg

Speed of child on sled = 8 m/s

We need to find the kinetic energy of the sled with the child.

The total mass of child and the sled = 20 kg + 10 kg

= 30 kg

The formula for the kinetic energy of an object is given by :

[tex]K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 30\times (8)^2\\\\K=960\ J[/tex]

Hence, the kinetic energy of the sled with the child is 960 J.

the question is in the photo. please help​

Answers

Answer:

Its B for your question

Explanation:

its B hope it helps

awnser:

C

Explanation:

An object accelerates in the same direction as that of force applied

A person wants to redesign a large room in a house to have less echoing of sound and more sunlight. Which design solution will best match the persons needs?

(A.) Hang curtains over the windows that will transmit sound waves and absorb light waves.

(B.) add pillows to the furniture that will reflect sound waves and refract light waves.

(C.) Place a thick white carpet on the floor that will absorb sound waves and reflect light waves.

(D.) Add a large mirror on the wall that will refract sound waves and reflect light waves.

Answers

Answer:

(A.) Hang curtains over the windows that will transmit sound waves and absorb light waves

What determines the appearance of water?

A. Molecules are too tiny to see.
B. The way the water molecules move.
C. Large scale observations that can be made with the human eye.

Answers

Answer:

b

Explanation:

the different ways the molecules are arranged in the atom creates differ states of matter and different appearences.

Why does the Moon orbit Earth?
a
There is magnetic attraction between the Earth and
the Moon
b
There is gravitational attraction between the Earth
and the Moon
с
There is chemical attraction between the Earth and
the Moon
d
There is mechanical attraction between the Earth
and the Moon

Answers

Answer:

B

Explanation:

Gravity, the attractive force between all masses, is what keeps the planets in orbit. Newton’s universal law of gravitation relates the gravitational force to mass and distance

The force of gravity is what gives us our sense of weight. Unlike mass, which is constant, weight can vary depending on the force of gravity (or acceleration) you feel. When Kepler’s laws are reexamined in the light of Newton’s gravitational law, it becomes clear that the masses of both objects are important for the third law, which becomes a3 = (M1+ M2) × P2. Mutual gravitational effects permit us to calculate the masses of astronomical objects, from comets to galaxies.

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