A horizontal spring is lying on a frictionless surface. One end of the spring is attaches to a wall while the other end is connected to a movable object. The spring and object are compressed by 0.065 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 14.7 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.032 m relative to its unstrained length

Answers

Answer 1

Answer:

0.832 m/s

Explanation:

The work done by the spring W equals the kinetic energy of the object K

The work done by the spring W = 1/2k(x₀² - x₁²) where k = spring constant, x₀   = initial compression = 0.065 m and x₁ = final compression = 0.032 m

The kinetic energy of the object, K = 1/2mv² where m = mass of object and v = speed of object

Since W = K,

1/2k(x₀² - x₁²) = 1/2mv²

k(x₀² - x₁²) = mv²

mv² = k(x₀² - x₁²)

v² = [(k/m)(x₀² - x₁²)]

taking square root of both sides, we have

v = √[(k/m)(x₀² - x₁²)] since ω = angular frequency = √(k/m),

v = √[(k/m)√(x₀² - x₁²)]

v = ω√(x₀² - x₁²)]

Since ω = 14.7 rad/s, we substitute the other variables into the equation, so we have

v = 14.7 rad/s × √((0.065 m)² - (0.032 m)²)]

v = 14.7 rad/s × √(0.004225 m² - 0.001024 m²)]

v = 14.7 rad/s × √(0.003201 m²)

v = 14.7 rad/s × 0.056577

v = 0.832 m/s


Related Questions


Two train cars with the same mass (30,000 kg) are traveling in the same direction when they collide.
Train Car A has a velocity of 10 m/s and Train Car B has a velocity of 5 m/s. What is their total
momentum after the collision? Make sure to show all your work and include proper units.

Answers

Answer:

25

Explanation:

I just did this

Please help!!!

The Ice cube melting on the conducting plate

What is the main type of thermal energy...
. Conduction
.Convection
. Radiation

Answers

Answer:

conduction, convection, and radiation

Explanation:

when you hold an ice cube, heat is transferred from your warm hand to the cold ice and melts it. Your hand feels cold because it is losing heat energy. There are three ways that heat can be transferred: by conduction, convection, and radiation. heat through solids.

An object is travelling 15 m/s. How long does it take for it to go 75 m?

Answers

Answer:

5 seconds

Explanation:

What is the minimum force required to increase the energy of a car by 69 J over a distance of 42 m? Assume the force is constant.

Group of answer choices

0.61 N

69 N

2900 N

1.6 N

110 N

Answers

ANSWER: 1.6N (forth option)



EXPLANATION:
E= Force x displacement
69=F(42)
69/42 = F
F=1.64 N

Answer : 1.6N

When you use a microwave, what is the main way that heat is transferred?
1. radiation
2. convection
3.conduction

Answers

Answer:

the correct answer is 1. radiation

radiacion ! so that would be answer number 1.

Light waves travel at 3 × 10 8 m/s. If the light wave has a particular wavelength of 400 nm (400 × 10 –9 m), calculate its frequency.

Answers

Answer:

[tex]f=7.5\times 10^{14}\ Hz[/tex]

Explanation:

Given that,

The wavelength of light, [tex]\lambda=400\ nm=400\times 10^{-9}\ m[/tex]

The speed of light, [tex]c=3\times 10^8\ m/s[/tex]

We need to find the frequency of light. We know that,

[tex]c=f\lambda[/tex]

Where

f is the frequency

So,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{400\times 10^{-9}}\\\\f=7.5\times 10^{14}\ Hz[/tex]

So, the frequency of light is [tex]7.5\times 10^{14}\ Hz[/tex].

A glass falls from a table top and smashes on the floor 0.6 seconds later. How high is the table?

Equations that can be used
Vv=gt, dv=1/2gt^2, t=2d/g.

Answers

Answer:

1.8 m

Explanation:

Given: Glass falls from a table, smashes 0.6 seconds later

To find: How high a table is

Formula: Vv=gt, dv=1/2gt^2, t=2d/g

Solution: A table's height is measured from the top of the edge down to the floor. The tables are shown both have a height of 30 inches, which is common for many tables.

Data

t = 0.6sg = 9.81 m/s²d = ?

Equation

d = [tex]\frac{1}{2}[/tex][tex]gt[/tex]²

Math & Units

d = 4.905 (0.6²)d = 442.676

Hence the table is 1.8 m high

Expresa en notación científica los siguientes números en notación científica estándar: a) 9367421= b) 7241= c) 0.0005519= d) 0.02=

Answers

Answer:

so yeah it is Respuesta

Find the electric field a distance z above the midpoint between equal and opposite charges,a distance d apart

Answers

Answer:

Ex = [tex]2 k q \frac{x}{(x^2 + z^2) ^{3/2}}[/tex] ,  E_z =0

Explanation:

To find the electric field of each charge, let's use

          E = k q / r²

where the field for a positive charge is outgoing and for a negative charge it is incoming.

Since the electric field is a vector magnitude, let's add its components at the point z

X axis

       Eₓ = E₁ₓ + E₂ₓ

       Eₓ = 2 E₁ₓ

Z axis

       E_z = E_{1z} -E_{2z}

       E_z= 0

Let's find the expression for the electric field

the distance from the charge to the test point, using the Pythagorean theorem is

      r² = (x-0) ² + (0-z) ²

      E = [tex]k \frac{q}{x^2 + z^2}[/tex]

with trigonometry we can find its components

      cos θ = E₁ₓ / E

      E₁ₓ = E cos θ

we substitute

     Eₓ = 2 E cos θ

where the cosine

    cos θ = x / r

     Ex = [tex]2 k \frac{q}{x^2 + z^2} \ \frac{x}{\sqrt{x^2 + z^2} }[/tex]

     Ex = [tex]2 k q \frac{x}{(x^2 + z^2) ^{3/2}}[/tex]

     E_z = 0

How do positive and negative acceleration differ?

Positive acceleration represents an object speeding up; negative acceleration represents an object slowing down.
Positive acceleration moves north or east; negative acceleration moves south or west.
Positive acceleration occurs when there is more velocity than speed; negative acceleration occurs when there is less velocity than speed.
Positive acceleration occurs when an object changes its speed but not its direction; negative acceleration occurs when an object changes both its speed and direction.

Answers

Answer:

Positive acceleration moves north and east but negative acceleration moves south and west

If an electron moves in a circle of radius 21 cm perpendicular to a B field of 0.4 T, what are the speed of the electron and the frequency of motion?

Answers

Answer:

a)

[tex]v = 4.048 *10^6[/tex] m/s

b)  

Angular frequency =  [tex]1.92 * 10^7[/tex]

Explanation:

As we know

[tex]v = \frac{qBr}{m}[/tex]

q is the charge on the electron = [tex]3.2 * 10^{-19}[/tex] C

B is the magnetic field in Tesla = [tex]0.4[/tex] T

r is the radius of the circle = [tex]0.21[/tex] m

mass of the electrons = [tex]6.64 * 10^{-27}[/tex] Kg

a)

Substituting the given values in above equation, we get -

[tex]v = \frac{3.2 * 10^{-19}*0.4*0.21}{6.64 * 10^{-27}} \\v = 4.048 *10^6[/tex]m/s

b)  

Angular frequency =

[tex]\frac{4.048 * 10^6 }{0.21} \\1.92 * 10^7[/tex]

How does magnetic compass help to identify directions​

Answers

Answer:

By the help of magnetic field of the earth

Explanation:

Compasses, also known as magnetic compass, help us primarily in navigating and determine position on the globe. The planet Earth has its own magnetosphere or magnetic field that is close with that of a magnetic poles, and this is how compass works. The compass needle aims north and south as it happens to coincide with the Magnetosphere or magnetic field.


Why does steam at 100°c give severe burn than water at 100 c?​

Answers

Explanation:

Steam will produce more severe burns than boiling of water because steam has more heat energy than water due to its latent heat of vaporisation and additionally latent heat of condensation. Steam and boiling water can exist at varing temperature but it is only correct to assume here that both are at same temperature.

Un atleta tiene en un instante dado una velocidad de 4 m/s. Si a partir de ese instante y durante 2 s adquiere un MRUA con una aceleración de 3 m/s2. Calcula la velocidad que alcanza al cabo de esos 2 s.

Answers

Answer:

Velocidad final, V = 8 m/s

Explanation:

Dados los siguientes datos;

Velocidad inicial, u = 4 m/s

Aceleración, a = 2 m/s²

Tiempo, t = 2 segundos

Para encontrar la velocidad final (v), usaríamos la primera ecuación de movimiento;

V = u + at

Sustituyendo en la fórmula, tenemos;

V = 4 + 2*2

V = 4 + 4

Velocidad final, V = 8 m/s

A student analyzes the data and concludes that one bird flies at a speed of 20 meters per second during a portion of its migration. Select the two types of data that the student needed to form this conclusion

Answers

Answer:

The answer is "The location of the bird and time interval between pieces of information".

Explanation:

Please find the complete question in the attached file.

The Radar is the instrument used to gather data from birds by researchers. This would be the primary tool to study the flight behavior of migrating birds with the impact of environmental influences including the ecology of migratory movements, from the broad population group for both the distribution of land areas and geomorphology as well as meteorological systems to the shift in the behavior of airlines of particular birds, especially when responding to lead routes.

A jet plane travels east for
661.8 meters in 6 seconds.
What is the velocity of the plane?
velocity = distance = time

Answers

3,970.8

Explanation:

v=661.8×6

3,970.8

1. Oh no! Your car breaks down on the highway, and you have to push the car to the side of the road. If your car is 400 kg and you push
with a force of 200 N, what is the car's acceleration?
O 2 m/s2
O 8.0 x 104 m/s2
O 0.5 m/s2
Oom/?

Answers

Divide 400/200 and that should give you your answer

2. A hanging wind-chime on a calm day would have kinetic or potential energy?
kinetic
potential

Answers

Answer:

it would have potential energy

If you walk for 1.5 hours at an average speed of 4 miles/hr. How far will you have walked?

Answers

4 • 1.5=6
You would’ve have walked 6 miles per her.

Determine both the mass and the charge of a block of material consisting of 3 x 10^27 protons, 3 x 10^37 neutrons, and 3.1 x 10^27 electrons.

Answers

Answer:

The mass of the block of material is 3 x 10³⁷ g/mol

The charge of the material is  4.8 x 10⁸ C

Explanation:

Given;

number of protons of the material, P = 3 x 10²⁷

number of neutrons in the material, N = 3 x 10³⁷

number of electrons in the material, E =  3 x 10²⁷

The mass of the block of material is calculated as follows;

M = P + N

M =  3 x 10²⁷ +  3 x 10³⁷

M =  3 x 10³⁷ g/mol

The charge of the material is calculated as follows;

charge of 1 electron = 1.6 x 10⁻¹⁹ C

charge of  3 x 10²⁷ electrons =  3 x 10²⁷ electrons   x   1.6 x 10⁻¹⁹ C

                                                = 4.8 x 10⁸ C

what made the dinosaurs instinct

Answers

Answer:

Eruptions/Volcano

Explanation:

poop fell from the sky

Waldo needs to know how much force to apply in order to move a 4000-kg object at 2 m/S2. Which law should he refer to

Answers

Answer:

Newton's second law of motion?

After the collision, car 1 has a final velocity of 6m/s south. What is the final velocity of car2?

a) 35m/s north
b) 35m/s south
c) 81 m/s north
d) 81 m/s south

Answers

I’m almost 100 percent sure it’s the first one

If the car goes exits a freeway and goes from 65
mph to 35 mph is it accelerating?

Answers

Answer:

No, the car is decelerating  

Explanation:

No the car is decelerating if it exits a freeway and goes from 65

mph to 35 mph since the change in velocity is negative.

change in velocity = final - initial

change in velocity  = 35 - 65

change in velocity = -30mph

Since the change in velocity is negative, hence the car is decelerating. Deceleration is a negative acceleration

If the radius increased between the two objects what would happen to gravitational force between them?

Answers

Answer:

The Gravitational Force would decrease

Explanation:

The equation Gm1m2/r^2 is the equation for gravitational force. If you look, as we increase the radius, the overall value will decrease as we move further apart.

Please answer correctly
No trolling or links, please

Answers

Answer: Wave a the first answer is right

Brainliest.

Explanation:

michael's house is 5.0 km away from his school. How long would it take him to go ti school, riding a bus, if its velocity is 25 km/h?

Pleaseee answer correctly
I mark brainliest who answer this​

Answers

Answer:

12 mins

Explanation:

The distance covered is 5 km, divide this by 25 to get the fraction of an hour it takes. Doing this you get .2, times this by 60 min (1 hour) to get how many mins it takes

El diámetro del embolo de una jeringa para inyección mide 1.5 cm. Una enfermera ejerce una fuerza de 2N cuando inyecta a su paciente. Calcule la presión que ejerce el fluido inyectado sobre las venas.

Answers

Answer:

Presión = 11111,11 N/m

Explanation:

Dados los siguientes datos;

Diámetro = 1,5 cm a metros = 1,5 / 100 = 0,015 m

Fuerza = 2N

Para encontrar la presión;

En primer lugar, determinaríamos el área del círculo usando la fórmula;

Área del círculo = πr²

Radio = diámetro/2 = 0.015/2 = 0.0075 m

Área de la jeringa = 3.142 * 0.0075²

Área de la jeringa = 3.142 * 0.00005625

Área de la jeringa = 0.00018 metros

Ahora, podemos encontrar la presión usando la fórmula;

Presión = fuerza/área

Presión = 2/0.00018

Presión = 11111,11 N/m

That minimum coefficient of static friction between the tyres and the road that will allow the car that will round safely.

Answers

Answer:

The answer is "[tex]0.13562748[/tex]"

Explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\bold{U_s=\frac{v^2}{rg}}[/tex]

Given:

[tex]r=1.60 \times 10^2 \ m\\\\g=9.8\\\\v= 52.5\ \frac{km}{hr}= 14.583\ \frac{m}{s}[/tex]

put the value into the above-given formula:

[tex]U_s= \frac{14.583^2}{160 \times 9.8}[/tex]

    [tex]= \frac{212.663889}{1568}\\\\=0.13562748[/tex]

HELP ASAP Which statement describes the water particles when condensation takes place?

A. The particles gain heat energy and move closer to each other
B. The particles lose heat energy and move closer to each other
C. The particles gain heat energy and move away from each other
D. The particles lose heat energy and move away from each other

Answers

The answer is going to be B
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