The amplitude of a particle executing simple harmonic motion is 5cm, while its angular velocity is 10 rads -1 . Calculate the magnitude of the maximum acceleration of the particle.

Answers

Answer 1

Answer:

a_max = 50 cm/s^2

Explanation:

To find the magnitude of the maximum acceleration of the particle, you take into account the equation of motion in a simple harmonic motion:

[tex]x=Acos(\omega t)[/tex]

ω: angular velocity = 10 rad/s

A: amplitude = 5 cm

The acceleration is given by:

[tex]a=\omega^2 x[/tex]

and the maximum acceleration is obtained when the cosine function is maximum, that is, when cos(wt) = 1. Then, you have:

[tex]a_{max}=\omega^2 x_{max}=\omega^2A[/tex]

Then, you replace the values of w and A in order to calculate a_max:

[tex]a_{max}=(10rad/s)^2(5cm)=50\frac{cm}{s^2}[/tex]

hence, the maximum acceleration is 50 cm/s^2


Related Questions

A circuit is made of a battery, a light bulb, and a 2 resistor. The battery has a voltage of 3 volts. When connected, the ammeter reads a current of 1 amp in the circuit. Find the resistance of the light bulb.

Answers

Answer:

3ohms

Explanation:

From Ohm's Law

V = IR

V is that voltage = 3volts

I = current = 1amp

R = resistance in ohms

Putting those values into the above formula.

3volts = 1amp×R

Making R the subject

R = 3/1

R = 3ohms

The resistance of the light bulb is 3ohms.

what is the capital of Ghana and also Togo.​

Answers

Answer:


Lomé is the capital and largest city of Togo. Accra is the capital of Ghana.

Answer:Ghana - Accra Togo - Lomé I hope this helps mark me brainlist

Explanation:

Accra is the Capital of Ghana

Accra was founded in the 17th century by the Ga people. It became the capital of the British Gold Coast in 1877 and the capital of Ghana on the formation of the country as an independent state in 1957
Accra Is the Second Most Expensive City in Africa

Accra is known for its colorful textile and used or second-hand clothing markets. Located inside the Makola Market, Kantamanto is the largest trading point in all of Accra.


The capital of Togo is Lomé

Lomé, city, capital of Togo. Lomé lies on the Gulf of Guinea (Atlantic coast) in the extreme southwestern corner of the country. Selected as the colonial capital of German Togoland in 1897, it became important as an administrative, commercial, and transport centre.

It is also the country's chief port, from where it exports coffee, cocoa, copra, and oil palm kernels- Lome


Lomé was founded by the Ewe, an indigenous ethnic group, in 1880. Located on the southwestern Atlantic coast of Togo, Lomé has a long history of trade. In 2000, an estimated 900,000 people resided in Lomé. Europe's “Scramble for Africa” began in 1880.

what is brightness. help asap

Answers

Answer:

The subjective visual sensation related to the intensity of light emanating from a surface or from a point source.

Rhodes research indicates that people are generally accurate in guessing the ages of unfamiliar persons based on their faces. This research has important implications for

Answers

The available options are:

A. bartenders serving alcohol

B. students identifying their professors.

C. Doctors diagnosing cases of schizophrenia.

D. eyewitnesses identifying suspects from a lineup.

Answer:

A.  bartenders serving alcohol

Explanation:

This is because of the underage rule concerning sale of alcohol. Thus, there are occasional period in which underage person or a minor will want to buy alcohol, and without necessarily asking for the birth certificate or ID card that contains Age information, it is therefore, necessary for bartenders to be able to tell the age of their unfamiliar customers, by mere looking at them, so as not to sell to a minor.

Hemce, Rhodes research in guessing the age of unfamiliar person has important implications for BARTENDERS SERVING ALCOHOL, because it will guide them to determine Underage or Minor, that want to buy alcohol from them.

A ramp is a simple machine called the
a. wedge
b. pulley
c. inclined plane
d. lever

Answers

Answer:

Inclined Plane is the answer

Answer:

Inclined plane

Explanation:

It is called Inclined plane since it is a flat surface at an angle.

If a transformer doubles its input voltage, what is the current in the secondary coil if the primary coil is 10 A.

Answers

Answer:

20Amp

Explanation:

Using the transformer formula

Vs/Vp = Ns/Np = Ip/Is

Vs/Vp = Ip/Is

Vp is the primary voltage = input voltage

Vs is the secondary voltage = output voltage

Ip is the current in the primary coil

Is is the amount of current in the secondary coil.

If the transformer doubles its input voltage Vp, its output voltage Vs will be

decreased by 2 but the output current will be doubled

Given the input current Ip = 10A, the current in the secondary coil (output current) will be doubled i.e Is = 2(10) = 20A

The current in the secondary coil be "50 A". To understand the calculation, check below.

Current and Voltage

According to the question,

Current in primary coil, [tex]I_{in}[/tex] = 10 A

We know the relation,

Power = [tex]V_{in} I_{in}[/tex] = [tex]V_{out} I_{out}[/tex]

then,

→ [tex]V_{in} I_{in}[/tex] = [tex]V_{out} I_{out}[/tex]

By substituting the values,

   [tex]V_{in}[/tex] × 10 = 2 [tex]V_{in} I_{out}[/tex]

By applying cross-multiplication,

           10 = 2 [tex]I_{out}[/tex]

         [tex]I_{out}[/tex] = [tex]\frac{10}{2}[/tex]

                = 5 A

Thus the response above is correct.

Find out more information about current here:

https://brainly.com/question/24858512

Concrete and steel expand to almost the same amount when they are heated. Explain why you think this is lucky?

Answers

Answer:

While making a bridge or a building, the first thing that comes to our mind is that these are always made by the combination of concrete and steel. Concrete is cheap, but it has the property of breaking when it is twisted or under tension. Steel is expensive, If we made the whole thing with it, it will cost a lot. To provide strength under a reasonable cost, we use the combination of concrete and steel. Another postive point which they have together is that they both expand equally under heat, because they have the same coefficient of thermal expansion. It proves really useful, because if they had different coefficients of thermal expansions, one would expand more than the other, which will create tensions in the mixture and would break it easily. In the case, many cracks would start to appear in the bridge or buildings, which will eventually break them.

Chemical potential energy can be released into
energy
OA) heat
OB) elastic
OC) potential​

Answers

The answer is A) heat.

Answer:

C Potential

Explanation:

Chemical potential energy is a form of potential energy related to the structural arrangement of atoms or molecules. This arrangement may be the result of chemical bonds within a molecule or otherwise. Chemical energy of a chemical substance can be transformed to other forms of energy by a chemical reaction.

How much energy sun release in the form of radiation​

Answers

Answer: Hope this is right

4 x 10^26 watts every second.

Explanation:

The sun, like all active stars, is a massive hydrogen-burning furnace producing huge amounts of light, heat and radiation, about 4 x 10^26 watts every second.

how much energy (in kW-h) does a 900 Watt stove use in a week if it is used for 1.5 hours each day?

Answers

Answer:

9.45 kWh

Explanation:

Energy = Power × time

E = 900 W × (1.5 h/day × 7 day)

E = 9450 Wh

E = 9.45 kWh

A force of 12N acts to the left on a body and a force of 16 N acts to the right . The size and direction of resultant force is
1)4N
2)28N to the right
3) 4 N to the right

Answers

Answer:

4 N to the right

Explanation:

The force acting to the right of the body is acting in the positive x direction while the force acting to the left of the body is acting in the negative x direction.

If a force of 12N acts to the left on a body and a force of 16 N acts to the right, force acting to the left will be -12N while that acting to the right will be +16N.

The resultant force acting on the bod will be the sum of the two forces.

Resultant = -12N+16N

Resultant = 4N

The direction of the resultant force will be towards the right since the resultant is a positive value.

A force of 210 N is applied to an object and the object accelerates at 14m/s2. Determine the mass of the object in kg.

Answers

Answer:

15 kg

Explanation:

F = m*a

F/a = m

210/14 = 15 kg

The graphic organizer compares energy transfer in two layers of the Sun. A venn diagram of 2 intersecting circles with the left circle labeled convection zone and the right circle labeled radiative zone. There is an X in the convection zone circle. There is a Y in the radiative zone. Which labels belong in the regions marked X and Y? X: Absorbs energy from the core Y: Takes longer for photons to move through X: Releases energy to the photosphere Y: Takes longer for photons to move through X: Takes longer for photons to move through Y: Absorbs energy from the core X: Takes longer for photons to move through Y: Releases energy to the photosphere

Answers

Answer:

X: Absorbs energy from the core.

Y: Releases energy to the photosphere.

Explanation:

Convection is a mode of heat transfer through fluids (liquids or gas), and it requires material medium for its propagation.

The energy absorbed from the core of the Sun, is transferred through X (convection zone) by convectional process, and it flows to Y (radiative zone). Since the regions X and Y have different functions, the heat propagates from X causing photons to traverse through Y where it get released into the photosphere or the Sun's surface.

Therefore;

X: Absorbs energy from the core.

Y: Releases energy to the photosphere.

Answer:

X: Takes longer for photons to move through

Y: Releases energy to the photosphere

Explanation:

One of the earliest forms of load-bearing construction is the ____ method of construction.

Answers

Answer:

the materials most often used to construct load bearing walls in large building are concrete ,block or brick . load bearing walls are one of the earliest forms of construction

Fossil fuels
?
Water cycle
Hydropower
۔۔
Photosynthesis
Sun
2
Nuclear fusion
Plants
A.
Plant life decay

Answers

Answer:

nuclear fusion plants are fossil fuels, if you are asking which of the following is a fossil fuel

Explanation:

plz help!
A driver in a car moving with the velocity 72km/hr sees a cow on a road 20m ahead. He applies the brake and the car stops in 4 second . Does an accident occur ? After what distance does the car come to rest?​

Answers

72km/hr = 72000m/3600seconds(we convert km/hr to m/s
= 20m/s
Velocity= 20m/s
In 4seconds,distance covered=20x4= 80m
Therefore,an accident occurs because in 4seconds, the car would have moved past 20m

Ahoy starting from rest moves with a distance of 200m in 10 seconds...Find the magnitude of acceleration

Answers

Answer:

The magnitude of acceleration is 2m/s² .

Explanation:

First, you have to find the velocity as it starts to travel 200m in 10s. The formula of velocity is V = Distance/Time, then you have to substitute the values into the formula :

[tex]v = d \div t[/tex]

[tex]let \: d = 200 \\ let \: t = 10[/tex]

[tex]v = 200 \div 10[/tex]

[tex]v = 20m/s[/tex]

Next, you have to substitute the values into the acceleration formula, a = (v-u)/t where v represents final velocity, u is initial velocity and t is time taken :

[tex]a = \frac{v - u}{t} [/tex]

[tex]let \: v = 20 \\ let \: u = 0 \\ let \: t = 10[/tex]

[tex]a = \frac{20 - 0}{10} [/tex]

[tex]a = \frac{20}{10} [/tex]

[tex]a = 2m/ {s}^{2} [/tex]

a motorcar is moving with a velocity of 108 km / h and it takes 4s to stop after the brakes are applied calculate the force exerted by the brakes on the motorcar if it's mass along with the passengers is 1000 kg​

Answers

Answer: - 7500N

Explanation:

Given the following :

Initial Velocity of car = 108km/hr

Time taken to stop after applying brakes = 4s

Mass of passengers in car = 1000kg

Force exerted by the brakes on the car =?

After 4s, then final Velocity (V) = 0

Initial Velocity (u) of the car = 108km/hr

108km/hr = (108 × 1000)m ÷ (3600)s = 30m/s

Force exerted = mass(m) × acceleration(a)

Acceleration of car = Change in Velocity with time

a = (v - u) / t

a = (0 - 30) / 4

a = - 30/ 4

a = - 7.5m/s^2

Therefore,

Force exerted = mass(m) × acceleration(a)

Force exerted = 1000kg × (-7.5)m/s^2

Force exerted = - 7500N

Answer:

The force exerted by the brakes on the motor car is -7500 N.

Explanation:

Given :-

Mass of the motor car along with passengers (m)= 1000 kgInitial velocity (u) = 108 km/hTime taken (t) = 4 s

To find :-

The force exerted by the brakes on the motor car.

Solution :-

Since the car stops, the final velocity (v) will be 0 m/s.

• Initial velocity (u) = 108 km/h.

Converting initial velocity into m/s.

We know that,[tex] \sf{1\:km/h=\dfrac{5}{18}\:m/s}[/tex]

Then initial velocity,

= [108 × 5/18 ] m/s

= 30 m/s

Now find the force exerted by the brakes.

Formula used :

[tex]{\boxed{\sf{F=\dfrac{m(v-u)}{t}}}}[/tex]

   [put values]

[tex]:\implies \sf \: F= \dfrac{1000(0 - 30)}{ 4} \\ \\ : \implies \sf \: F \: = \dfrac{ - 30000}{4} \\ \\ : \implies \sf \: F \: = - 7500[/tex]

The force exerted by the brakes on the motor car = -7500 N.

•The negative sign of force(F) means that the force was applied in opposite direction of motion.

__________________

A wave is sent down a thick rope that is attached to a thinner rope. What happens when the wave reaches the junction? Explain in words, or draw a diagram.

Answers

Answer:

A fraction of the wave will be reflected at the junction and the remainder will be transmitted through the junction into the thin rope

Explanation:

When the junction of the thin and the thick rope is reached by the wave, the wave behaves in the following two ways;

1) A fraction of the incident wave from the thick rope to the junction/boundary of the thin rope will be reflected back to in the direction of the thick rope with a lower amplitude and upright

2) A fraction of the incident wave from the thick rope to the junction/boundary of the thin rope will be transmitted through the thin rope such that the transmitted pulse on the thin rope will have an higher amplitude than that of the thick rope due to the available energy in the wave pulse and the lesser weight of the thin rope.

A tow truck is pulling 25,000 kg van with a tow hook that meets the van at an angle of 30° with the ground. How much force must the tow trucl use to pull the van with an initial acceleration of 3m/s2...!?

Answers

Answer:

86605.08 N

Explanation:

The equation to calculate the force is:

Force = mass * acceleration

The force and the acceleration does not have the same direction in this case, so we need to decompose the force into its horizontal component, which is the force that will generate the horizontal acceleration:

Force_x = Force * cos(30)

Then, we have that:

Force_x = mass * acceleration

Force * cos(30) = 25000 * 3

Force * 0.866 = 75000

Force = 75000 / 0.866 = 86605.08 N

When is the magnitude of the acceleration of a mass on a spring at its maximum value?
A.
when the mass has a speed of zero
B.
when the mass is moving upward
C.
when the mass has no displacement
D.
when the mass is 1

2 x

Answers

Answer:

D

Explanation:

Now we know that Force is the rate of change of momentum meaning

F= mv/t

But

mv/t = Ke

v/t = ke/m

a= ke/m

Where a is acceleration

K is constant of proportionality of tension on a spring

e is the extension substended by a string.

From the formula of acceleration we can see that as mass decreases acceleration increases so we can see that m = 1

We would have a maximum value of acceleration.

The Answer Is....:

D.

A frisbee is flying through the air. Which forces are acting on it (choose 3)​

Answers

Answer:

The force acting on it is lift

An object is placed at 1.5 m from a convex lens with a focal length of 1.0 m.
a. Use the thin lens equation to determine the image distance from the lens.
b. If the object height is 2.0 m, what is the image height?
c. Is the image real or virtual? Is the image inverted or upright?​

Answers

A. Use the thin lens equation to determine the image distance from the lens. Is the correct answer because I have no idea why

Earth receives some of the Sun's energy in the form of heat and light.
What type of energy does heat and light from the Sun begin as?
O A) nuclear
OB) chemical
OC) electrical
OD) mechanical​

Answers

Answer:

a) nuclear

Explanation:

A sheet of paper 3.0 cm by 4.0 cm is lying on the desk. If the atmospheric pressure is 1.013105 Pa, what is the total force exerted on the top side of the paper by the atmosphere?

Answers

Answer:

132.56N

Explanation:

Pressure is defined as force per unit area.

Expressed mathematically as;

P = F/A

Where P-pressure

F-force

A-area

From the above formula,

F= P×A

= 1.1013 × 10^5 × (3×4/10000)

= 11.013×12 =132.56N

Note: the unit of measure in cm is converted to m and since 100cm makes 1m for each sides 3cm and 4cm we convert to 'm' by dividing by 100 twice giving division by 10000)

The unit of measure Pa means Pascal and is the same as N/m2

How did Einstein’s and Newton’s theories differ in terms of explaining the cause of gravity?


Answers

Newton”s theory says this can occur because of gravity, a force attracting those objects to one another or to a single, third object. Einstein also says this occurs due to gravity- but in his theory, gravity is not a force. It is a curve in space-time.

Newton's law of universal gravitation doesn't say anything about the cause of gravity.

Einstein's theory of relativity does.

50 COINS AMAZING PLEASE HELP ME!!!

Answers

Answer:

ok

Explanation:

Ok

What is the effect of gravity on a falling object?​

Answers

Answer:

When objects fall to the ground, gravity causes them to accelerate.

Which of the following technologies is based on the work of Subrahmanyan Chandrasekhar? A. Undersea fiber optic communications cables B. An orbiting observatory to detect X-rays from space objects C.Computer models to predict the effects of climate change D. Radar to detect the movement of storms

Answers

Answer:the answer is B

Explanation:

APE X

The technology that is based on the work of Subrahmanyan Chandrasekhar is an orbiting observatory to detect X-rays from space objects, therefore the correct option is B.

What is Chandrasekhar's limit?

Chandrasekhar's limit is a type of maximum limited value that is used to define the maximum mass of a white dwarf star. The generally internationally considered value of the Chandrasekhar limit is about 1.44 times the mass of the sun which is approximately 2.765×10³⁰ kg.

In other words, one can say that Chandrasekhar limit is the maximum value that can attain 1.44 times the solar mass.

In other words, one can say that star with a mass more than 1.44 times that of the Sun does not form a white dwarf but  continues to collapse, finally forming a neutron star

An orbiting observatory to detect X-rays from space objects is based on the principle of Chandrasekhar's limit. The correct option is B.

Learn more about Chandrasekhar's limit from here

https://brainly.com/question/7259500

#SPJ2


A rubber band that has been stretched has gained ____ energy
OA) heat
OB) kinetic
OC) potential
D) chemical​

Answers

Answer: potential

Explanation:

Other Questions
Please HELP. ALSO WHY. 2 question. pLZZ Please I need a answer for 5,6,7, and 8 !!! Please ill mark you as brainliest can a substance be a lewis acid without being a bronsted-lowry acid?argue What is thw purpose of the proper handling of experimental subjects? The Virginian companies efforts in eastern North America Please answer this correctly No Juan, noms caf. Es malo para la salud.O A. tomaO B. tomasO C. tomesO D. tomo what was sir edward burnet tylor ?into how many types has he classified the society? In what ways is climate change affecting people living on Earth? What additional information could be used to prove thatAABC - ANML? Check all that apply.O ZB ZMO AABC is a right triangle.AABC was rotated and dilated by a scale factorbetween 0 and 1.AABC was translated right and down.OLC ZL How did the English Colonies in the South develop over the 17th century? Describe the importance of land and labor to their new economies. How did colonists justify their treatment of African American slaves and Native Americans? What are two ways to increase impulse? What is X.... Fill in the blanks with the conditional of the verbs in parentheses.Question Je t' (attendre) devant la bibliothque.Question 2 (Devoir) -tu emmener Danielle au stade?Question 3 Ma meilleure amie et moi, nous (faire) du sport le soir.Question 4 Avec sept cours, vous ( avoir) trop de devoirs!Question 5 Michel et Sally (envoyer) les paquets leurs cousins.Question 6 Normalement, tu (recevoir) les livres dans deux jours.Question 7 Le mcanicien a dit qu'il (falloir) vrifier l'huile.Question 8Solange et moi, nous (aller) la plage tous les matins.Question 9 Nos amis (venir) nous rendre visite Bordeaux pendant l't.Question 10 Ne t'inquite pas! Ton fils (savoir) quoi faire. Using evidence, make some points on why the school should NOT sell plastic water bottles GIVING BRAINLIEST Find the area of the circle if r = 5 meters. Leave the answer in terms of A =1000 square metersB)A =251 square metersC)A = 51 square metersD)A = 101 square meters While visiting a meteor crater, a teenager comes across a meteorite that inspires him to become an astronaut. What kind of nonfiction source did the author most likely use to help make the elements in the story realistic? A-an animated film about a groups voyage through the galaxy B-a blog where people speculate about the existence of aliens C-a popular television series set in the far reaches of space D-a government website on space exploration Calculate the firms WACC (using 2018 numbers). (You will need to collect information on the long-term debt and common stock equity from the Balance Sheet. The firm has no preferred stock). Use the WACC to calculate NPV and evaluate IRR for proposed capital budgeting projects. Assume the projects are mutually exclusive and the firm has the money available to fund the project A 7.5% percent annual coupon bond with 20 years to maturity, selling for 104 percent of par. The bonds make semiannual payments. What is the before tax cost of debt? If the tax rate is 40%, what is the after-tax cost of debt? The firms beta is 1.2. The risk-free rate is 4.0% and the expected market return is 9%. What is the cost of equity using CAPM? Consider a good, effective speech delivery. Which of the following qualities in NOT always part of good, effective speech delivery? Question 2 options: influences audience to act or think favorably toward message. speaker delivers message with impact. it is a result of the speaker's natural talent and gift. meets audience expectations. A rectangular prism has a width of 6 inches and a height of 10 inches. The volume of the rectangular prism is 300 in3. What is the length of the rectangular prism?