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 1

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 2

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


Related Questions

What is the current flowing through a 10 resistor in a parallel circuit with a 120 V potential difference across it?
on​

Answers

Answer:

let current flow be x

Explanation:

than we know potential difference = energy supply / charge then 120 = 10 /x then x=12 therefore pd = 12 v

120=10/X
12=1/X
12•1=12
So the answer is 12
Hope this helps can u make me branliest please ❤️

How can we teach our kitty to behave properly​

Answers

Answer:

I have no idea.

Explanation:

I just wanted to tell you I absolutely read this wrong.

A small car has a head-on collision with a large truck. Which of the following statements concerning the magnitude of the average force due to the collision is correct? The small car and the truck experience the same average force. The small car experiences the greater average force. The truck experiences the greater average force. It is impossible to tell since the masses are not given. It is impossible to tell since the velocities are not given. 1 points Saved Question 1 of 5 Moving to another question will save this response.

Answers

Answer:

The small car and the truck experience the same average force.

Explanation:

Here we need to remember two of Newton's laws.

The second one says that:

F = m*a

force equals mass times acceleration.

And the third one says that;

"If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A"

From the third law, if the car experiences a force F due to the impact with the truck, then the truck experiences the same force F due to the impact.

But this seems odd, because we would expect to see the car being more affected by the impact, right?

Well, this is explained by the second law.

Suppose that the mass of the car is m, and the mass of the truck is M.

such that M > m

Then for the small car we have:

F = m*a

And for the truck:

F = M*a'

Because the force is the same for both of them, we can write:

m*a = M*a'

a = (M/m)*a'

because M > m, then M/m > 1.

This means that the acceleration that the car experiences is larger than the acceleration for the truck, and this is why we would see that the car seems more affected by the impact, regardless of the fact that both vehicles experience the same force in the impact.

A 1,680 kg satellite is in a circular orbit around Earth with a tangential speed of 6,578 m/s. What is the height of the satellite above the surface of the Earth?

Answers

Answer:

Recall that Earth’s radius is 6.38 × 106 m and Earth’s mass is 5.97 × 1024 kg.

Explanation:

Answer:

A- 2.7 on USA Test prep

Explanation:

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

Use the image to answer Questions 4–6.

What takes place at Point A?
conduction
convection
radiation
sublimation

What takes place at Point B?
conduction
convection
radiation
sublimation

Image attached

Answers

Answer:

the first one is c and the second is b

Daphne swings a 15.0 kg bucket of water in a vertical circle of radius 1.3 m. What is the minimum speed, v, at the top of the circle that the pail has to go if the water is not to spill?

Answers

Answer:

3.6 m/s

Explanation:

10. A pitcher in a professional baseball game throws a fastball, giving the baseball
a momentum of 5.83 kg. m/s. Given that the baseball has a mass of 0.145 kg,
what is its speed?

Answers

Answer: 40.2m/sec

Work: v=p/m= 5.83kg/0.145k=40.2cm/sec

When a bulb is connected to a 12V cell a current of 0.05A flows through the bulb.
What is the resistance of the bulb?
Use the equation

resistance (R) = (V) voltage/ (I) current

A 0.6 Ω
B 6 Ω
C 24 Ω
D 240 Ω

Answers

Answer:

=0.6

Explanation:

R=v*I

R=12*0.05

R=0.6

1-¿Que tipo de energía usa en su hogar para el alumbrado , la calefacción y artículos de entretenían, entre otros ? 2-¿ de que manera en su hogar o escuela tienen acceso a la energía eléctrica? 3- aparte de los componentes ¿ hay alguna diferencia en el funcionamiento de circuito eléctrico de una linterna y el de una casa ? 4-¿que ocurriría si el voltaje que proporciona la fuente de energía es menor que la requerida por la ampolleta ? ¿Y su es mayor? 5-es indispensable el interruptor para el funcionamiento del circuito eléctrico

Answers

Answer:

Explanation:

1.-Energía eléctrica ( electricidad ) proveniente de una fuente AC ( es decir de corriente alterna)

2.-Hay un proveedor de servicios que lleva la energía a las comunidades en general y en particular la lleva hasta mi casa y escuela. Se define como acometida eléctrica, la infraestructura que lleva la energía desde la red de distribución al tablero principal en el abonado. La acometida puede ser aérea o subterránea, y normalmente consta de tres conductores ( de los cuales dos son calibre AWG # 8 ( dos fases ) y uno AWG # 10 ( neutro ). Esta configuración permite tener: 120 y 240 (V) en servicio en la casa y suficiente capacidad para la carga eléctrica de una casa normal

3.-Si, el tipo de corriente. En el caso de una linterna se usan "pilas" o baterías de corriente directa ( que no varia en el tiempo), en la casa la corriente es alterna de 60 ciclos por segundo de frecuencia.

4.-Si el voltaje es menor en una medida importante la ampolleta no alumbra por cuanto si por ejemplo el voltaje nominal ( o de funcionamiento es 120 V y el voltaje suministrado es 50 V ese voltaje será insuficiente para hacer funcionar el circuito). Si el voltaje es mayor dígamos 240 V la ampolleta se quema.

5.-El interruptor nos asegura la maniobra a nuestra voluntad del circuito del cual forma parte. Es decir si tengo un circuito de alumbrado ( 1 bombillo y un interruptor ) ese interruptor me permitirá apagar y encender la luz cuando yo quiera.

Los breaker son "interruptores" son dispositivos de protección para caso de sobrecargas y/o cortocircuitos

How fast does a 500kg car need to drive to have 100,000 J of kinetic energy?

Answers

Answer:

The car must move at 2 m/s to have a Ke of 2,000 Joules.

Explanation:

Mark me pls

During a lab experiment a student took his resting pulse rate, counting 23 beats in 20 seconds. The student then exercised for several minutes. The student's pulse was taken immediately after the exercise, and then every minute for 6 minutes.

Answers

Here’s a link to the answer:



During which type of radioactive decay does a nucleus gain a proton but keep
the same atomic mass number?
A. Alpha decay
B. Beta decay (electron)
C. Gamma decay
D. Beta decay (positron)
SUBMIT

Answers

Answer:

A. Alpha decay

Explanation:

Answer:

Beta decay (electron).

Explanation:

A .001 kg bead slides without friction around a loop-the-loop. The bead is released from a height of 20.6 m from the bottom of the loop-the-loop which has a radius 7 m. The acceleration of gravity is 9.8 m/s [photo] What is its speed at point A ? Answer in units of m/s. Your answer must be within ± 5.0%

Answers

Answer:

11.37 m/s

Explanation:

We are given;

Mass; m = 0.001 kg

Initial velocity; v1 = 0 m/s (since it was released from rest)

Initial height; h1 = 20.6m

From the attached image of the bead in the loop, we can see that height at A; h2 = twice the radius = 2R = 2 × 7 = 14 m

g = 9.8

To solve for the speed at point, we will use formula for conservation of energy. Thus;

½m(v1)² + mgh1 = ½m(v2)² + mgh2

Divide through by m to get;

½(v1)² + gh1 = ½(v2)² + gh2

Plugging in the relevant values;

½(0²) + (9.8 × 20.6) = ½(v2)² + (9.8 × 14)

Rearranging, we have;

½(v2)² = ½(0²) + (9.8 × 20.6) - (9.8 × 14)

Simplifying, we have;

½(v2)² = 64.68

Multiply both sides by 2 to get;

(v2)² = 2 × 64.68

(v2)² = 129.36

v2 = √129.36

v2 = 11.37 m/s

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Answer:

Third option

Explanation:

To calculate meters per second you divide the distance by the time.

it's 8m/s

The screens show two sound waves that last the same amount of time. Which wave has a higher frequency? Explain your answer

Answers

Answer:

Wave 1

Explanation:

Its a High frequency waves the high waves are closer to each other thme the lower ones

Blackie, a cat whose mass is 6-kg, is napping on top of the refrigerator when he rolls over and fall. Blackie has a KE of 90-J just before he lands on his feet on the floor.

How tall is the refrigerator?

Answers

To answer this question, you need to understand the law of conservation of energy. Essentially, the law states that energy cannot be created or destroyed; it is always conserved.

Knowing this law, how can we answer this question? Well, let's look at what the question tells us. We know that Blackie was initially at the top of a refrigerator before rolling over and falling to the ground. At ground level, he only has Kinetic energy when he lands. Since we know that he started at the top of the fridge, we know that Blackie started off with potential gravitational energy.

That would make sense, right? Written out as an equation, it'd be:

[tex]U_{g}[/tex] = [tex]K_{E}[/tex]

This follows the law of conservation of energy, as all the potential gravitational energy is converted into Kinetic energy.

Now, we know what energies are converted. What can we do with it? Recall the equation of potential gravitational energy:

[tex]U_{g}[/tex] = [tex]F_{g}[/tex]∆H

[tex]U_{g}[/tex] = mg∆H

Do you see it now? ∆H is the distance that Blackie falls, and since Blackie jumps from the fridge to the ground, ∆H must be the height of the fridge!

Let's start solving for ∆H:

[tex]U_{g}[/tex] = [tex]K_{E}[/tex]

Substitute potential gravitational energy with our equation:

mg∆H = [tex]K_{E}[/tex]

We were given the value of Kinetic Energy:

mg∆H = 90

Isolate ∆H by dividing both sides by mg:

∆H = [tex]\frac{90}{mg}[/tex]

Input values for 'm' and 'g' (m is the mass of Blackie and g is Earth's acceleration)

∆H = [tex]\frac{90}{6*9.80}[/tex]

∆H = [tex]\frac{90}{58.8}[/tex]

∆H = 1.53

The refrigerator is 1.53 meters tall.

And that's it! Let me know if you need me to explain anything I did here.

- breezyツ

What is the relationship between temperature and kinetic energy?

Answers

Answer:

temperature is the average kinetic energy of the particles of matter. the hotter something is the more kinetic energy it has.

Explanation:

how do you know which magnitude is higher or how do you compare them?

Answers

Magnitudes are measured by intensity so a 3.4 earthquake is much less stronger than a 4.5 earthquake it’s very literally when measuring them the higher the number the stronger it is

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.

Static electricity is an excess of charge.
A. True
B. False

Answers

it is very true for reasons

Answer:

Its true

Explanation:

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 positively charged body makes contact with a body. after a while, the charged body becomes neutralised. state 3 main conditions for this scenario to occur.​

Answers

Answer:

A body will become positively charged when some electrons will come out from the body.Thus, positive charge is due to deficiency of electrons.

Find the frequency of a 63.8-cm long open end air column
that resonates as shown in the diagram at the right. The speed of sound in the air is 345 m/s.

Answers

Answer:

f = 270.37 Hz

Explanation:

Given that,

The length of the long open end air column, L = 63.8 cm

The speed of sound in the air is 345 m/s

We need to find the frequency of the air column. For an open pipe, the frequency is given by :

[tex]f=\dfrac{nv}{2L}\\\\f=\dfrac{345}{2\times 63.8\times 10^{-2}}\\\\f=270.37\ Hz[/tex]

So, the frequency of the air column is equal to 270.37 Hz.

If the force between two charges with opposite signs is -36 newtons, what is the force between two charges with the same sign?

Answers

Answer:

36 Newtons

Explanation:

The force of attraction or repulsion between two charges can be given by Coulomb's Law:

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

where,

F = Force

k = Coulomb's Constant

q₁ = magnitude of first charge

q₂ = magnitude of second charge

r = distance between charges

Hence, the charges with opposite signs will produce a result with a negative value. While, the charges with same sign will produce positive result of force value.

Hence, the force between two charges with the same sign will be 36 Newtons

How fast is a 0.50 kg ball moving if it's kinetic energy is 400 j

Answers

Answer:

Correct 40 m/s

Explanation:

1. Why is the equivalent resistance in a parallel circuit equal to the sum of the reciprocals of the individual resistances, whereas in a series circuit, the equivalent resistance is the sum of the individual resistances? ​

Answers

Answer: Kirchhoff first law: sum of currents coming in branch and leaving it are same.

Explanation: in parallel circuit current is divided between resistors.

In series circuit same current passes through all resistors.

● Describe what Neptune needs to sustain life.

● Describe the current conditions of Neptune. How is it there?

● What is the final recommendation for the humans living on Neptune? Explain.

Answers

Answer:

1)the planet would need to have a source of energy that bacterial life can exploit, as well as a standing source of liquid water. At its surface, the temperature of Neptune dips down to 55 Kelvin. That's very cold, and there's no way liquid water could exist.

2)Neptune has the wildest and strangest weather in the entire Solar System. It has huge storms with extremely high winds. Its atmosphere has dark spots which come and go, and bright cirrus-like clouds which change rapidly. Neptune has an average temperature of -353 Fahrenheit (-214 Celsius).

3)To find life on Neptune, the planet would need to have a source of energy that bacterial life can exploit,

Solve the speed for the blank this is a PHET LAB​

Answers

Explanation:

The volume of matter contained in an item is measured in kilograms. It claims that a material's rate in velocity is equal to the force exerted and occurs in the force's path.

Speed (Velocity) = Force / Mass

Speed (Velocity) = 25 / 50 = 0.5 m/s

Speed (Velocity) = 50 / 50 = 1 m/s

Speed (Velocity) = 7 / 50 = 1.5 m/s

Speed (Velocity) = 100 / 50 = 2 m/s

Speed (Velocity) = 200 / 50 = 4 m/s

A 25 kg block is sliding down 28o incline at a constant speed.

Answers

try photo math it helps
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