5. What is the period of a vertical mass-spring system that has an amplitude of
71.3 cm and maximum speed of 7.02 m/s? The spring constant is 12.07 N/m.

Answers

Answer 1

The period of the vertical mass-spring is 0.64 s.

The given parameters:Amplitude of the spring, A = 71.3 cm Maximum speed of the spring, V = 7.02 m/sSpring constant, k = 12.07 N/m

The angular speed of the vertical mass-spring is calculated as follows;

[tex]V_{max} = A \omega\\\\\omega = \frac{V_{max}}{A} \\\\\omega = \frac{7.02}{0.713} \\\\\omega = 9.85 \ rad/s[/tex]

The period of the vertical mass-spring is calculated as follows;

[tex]f = \frac{\omega }{2\pi} \\\\T = \frac{1}{f} \\\\T = \frac{2 \pi}{\omega } \\\\T = \frac{2\pi }{9.85} \\\\T = 0.64 \ s[/tex]

Thus, the period of the vertical mass-spring is 0.64 s.

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Related Questions

PLEASE HELP ME PLEASE!​

Answers

Answer:

40N

Explanation:

The weight is "how much force of gravity drags this down".

Because we're told that gravity on the Moon exerts 1.6N of force per kg, a 25kg object will weigh:

[tex]F_g = 25kg \cdot 1.6\frac{N}{kg} = 40N[/tex]


HELP!!

An electric motor is used to lift an elevator and
occupants (mass = 1.50 x 10kg) to a helght of
15.0 m in 30.0 s at a constant velocity. What is
the power output of the motor? I know the answer I just need someone to show me the steps so I understand how to solve this


Answer: (7.35 x 10^3 W)

Answers

Answer:

[tex]P=7.35\times 10^{3}\ W[/tex]

Explanation:

Given that,

Mass, [tex]m=1.5\times 10^2\ kg[/tex]

It lifts to a height of 15 m in 3 s

We need to find the power of the motor. The formula for power is given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{1.5\times 10^2\times 9.8\times 15}{3}\\\\P=7.35\times 10^{3}\ W[/tex]

So, the power of the motor is equal to [tex]7.35\times 10^{3}\ W[/tex].

Types of RM radiation that make up the electromagnetic spectrum are microwaves, infrared light, ultraviolet light, X-rays, and gamma rays.

True
False

Answers

Answer:

True

Explanation:

The electromagnetic spectrum can be regarded as term that give description of range of light that are in existence, and this range from radio waves up to gamma rays. It can be explained as

range of frequencies that electromagnetic radiation takes with thier respective wavelengths as well as photon energies

The Types of electromagnetic radiation that make up the electromagnetic spectrum are

✓ microwaves

✓ infrared light

✓ ultraviolet light

✓X-rays,

✓gamma rays.

The electron gun in a television tube uses a uniform electric field to accelerate electrons from rest to 4.1 x 10^7 m/s in a distance of 1.4 cm

Answers

Answer:

a = 6 x 10¹⁶ m/s²

Explanation:

The acceleration of the electrons can be found by using the third equation of motion:

[tex]2as = v_f^2-v_i^2[/tex]

where,

a = acceleration = ?

s = distance = 1.4 cm = 0.014 m

vf = final speed = 4.1 x 10⁷ m/s

vi = initial speed = 0 m/s

Therefore,

[tex]2a(0.014\ m) = (4.1\ x\ 10^7\ m/s)^2-(0\ m/s)^2\\\\a = \frac{1.681\ x\ 10^{15}\ m^2/s^2}{0.028\ m}[/tex]

a = 6 x 10¹⁶ m/s²

The acceleration of the electron will be a = 6 x 10¹⁶ m/s²

What is acceleration?

The acceleration is defined as when the velocity of any moving object changes with respect to the time it is called as the acceleration.

The acceleration of the electrons can be found by using the third equation of motion:

[tex]2as=v_f^2-v_i^2[/tex]

where,

a = acceleration = ?

s = distance = 1.4 cm = 0.014 m

vf = final speed = 4.1 x 10⁷ m/s

vi = initial speed = 0 m/s

Therefore, By putting the values we will get

[tex]2a(0.014)=(4.1\times 10^7)-(0)[/tex]

[tex]a=\dfrac{1.681\times 10^{15}}{0.028}[/tex]

a = 6 x 10¹⁶ m/s²

Thus the acceleration of the electron will be a = 6 x 10¹⁶ m/s²

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Why is Alternating Current important

Answers

It’s voltage can easily be modified and it allows power to be transmitted at a high voltage rate before being lowered to a smaller voltage rate to be safe.

Explanation:

La corriente alterna es de gran importancia, entre otras cosas, porque nos proporciona la red eléctrica domiciliaria. Es aquella con la cual funcionan habitualmente los transformadores y un gran número de dispositivos.

What characteristic helps us determine
the temperature of a star?
A. shape
B. texture
C. color

Answers

Answer:

I would say color.

Explanation:

Because for me most of the time the warm color mean It hot. and the cool color most likily to mean cold  

Answer:

Color

Explanation:

The temperature of a star is determined by the color. lol :)

'J
A student on a skateboard, with a combined mass of 78,2 kg, is moving east at
1,60 m.s 1. As he goes by, the student skilfully scoops his 6,4 kg backpack from the
bench where he had left it. What will be the velocity of the student immediately
after the pickup?​

Answers

Answer:

v = 1.48 m / s

Explanation:

This is an exercise in conserving the moment. Let's define a reference system made up of the student, the scooter and the collected mass. For this system the forces during the collection are internal and element and conserves

initial interim. Before picking up the merchandise

       p₀ = M v₀

final instant. After picking up the object

       p_f = (M + m ') v

how the moment was created

        p₀ = p_f

       M v₀ = (M + m) v

let's calculate

       v = [tex]\frac{M}{m+ M}[/tex]  vo

       v = 78.2 / (6.4 +78.2) 1.60

       v = 1.48 m / s

If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = –3.0 nC in the figure, what is the magnetude of the potential difference between A and B is

Answers

The magnitude of the potential difference between A and B is 195 V.

Potential of charge A

The potential of charge A is calculated as follows;

Va = kq/r

where;

k is Coulomb's constantq is magnitude of the charger is the position of the charge

Va = (9 x 10⁹ x 2 x 10⁻⁹) / (0.3)

Va = 60 Volts

Potential of charge B

Vb = kq/r

Vb = (9 x 10⁹ x -3 x 10⁻⁹) / (0.2)

Vb = -135 Volts

Potential between A and B

VAB = VB - VA

VAB = -135 V - 60 V

VAB = -195 V

Thus, the magnitude of the potential difference between A and B is 195 V.

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Linda, a biker, is moving along a circular path at a constant speed of 10 km/h. In a neighboring arena Kevin, another biker, is moving along a circular path at a constant speed of 12 km/h. If the acceleration of the two bikers is the same, what can you infer?
A) The centripetal force on Kevin is higher than that on Linda.
B) The centripetal force on Linda is higher than that on Kevin.
C) Kevin’s circular path has a bigger radius than Linda’s path.
D) Linda’s circular path has a bigger radius than Kevin’s path

Answers

Answer:

the answer is  C

Explanation:

i took the test just now so i am glad i can help someone in the future❣❣❣❣

Also here is the explanation

Note that the magnitude of acceleration (a) is given by a =  

v2

R

, where v is the speed and R is the radius. Because acceleration is the same for both bikers, the ratio 

v2

R

, also has to be the same for both. Given that Kevin’s speed is higher, the radius of his path must also be higher to maintain the same ratio. Therefore, Kevin’s circular path has a bigger radius than Linda’s path.

The light ray is traveling from Acrylite into air. The refractive index for air is 1.00. If the angle of incidence and the angle of refraction are known, how could you determine the refractive index of Acrylite?

Answers

Answer:

Refraction. A light ray traveling through some plastic has a frequency of 5.5 x 1014 Hz. It is ... making an angle of 32° with the normal to the interface; it passes through the ... [5 points] (a) What is the refractive index of the glass? ... What you do know is the wavelength of the light in glass, 321 nm, and you know the frequency.

Explanation:

The refractive index of Acrylate is determined as: ratio of sine of incident angle to  sine of refractive angle.

What is Snell's law?

The relationship between the angles of incidence and refraction for light or other waves flowing through a border between two different isotropic media, such as water, glass, or air, is described by Snell's law, a formula.

The amount a light ray bends as it travels through different media is measured by the refractive index.

Given that: The refractive index for air is 1.00.

Let the angle of incidence from medium air to Acrylate  is = i

the angle of refraction  from medium air to Acrylate  is = r.

Let the refractive index  for Acrylate  = n.

Then according to Snell's law:

1×sini = n× sinr

n = sini/sinr.

Hence,  the refractive index of Acrylate is ratio of sine of incident angle to  sine of refractive angle.

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Look at pic for question pls help

Answers

B IS YOUR ANSWER.

Soft sound has small amplitude and louder sound has large amplitude. Since, the second wave has large amplitude, it will have the loudest sound.

PLEASE HELP!!! WILL GIVE 30 POINTS!! HAS TO BE CORRECT!


The picture below shows a solar event in the sun's atmosphere.


Which of these events is most likely to occur as a result of the solar event pictured above?


Disruption to electricity power grid

Less aurora activity at the poles

The sun's photosphere would be blocked

The sun's magnetic effect would decrease

Answers

Answer:

the answer is A . Disruption to electricity power grid :)

Explanation:

It is measured that 3/4 of a body's volume is submerged in oil of density 800kg/m³

Answers

Complete question:

It is measured that 3/4 of a body's volume is submerged in oil of density 800kg/m³. What is the specific gravity of oil?

Answer:

The specific gravity of the oil is 0.8.

Explanation:

Given;

density of the oil, [tex]\rho_o[/tex] = 800 kg/m³

density of water, [tex]\rho_w[/tex] = 1000 kg/m³

The specific gravity of any substance is the ratio of the substance density to the density of water.

Specific gravity of the oil = density of the oil / density of water

Specific gravity of the oil = 800/1000

Specific gravity of the oil = 0.8

Therefore, the specific gravity of the oil is 0.8.

A cell membrane consists of an inner and outer wall separated by a distance of approximately 10nm10nm. Assume that the walls act like a parallel plate capacitor, each with a charge density of 10−5C/m2, and the outer wall is positively charged. Although unrealistic, assume that the space between cell walls is filled with air.
1. What is the magnitude of the electric field between the membranes?
A. 1×10^−15N/C
B. 5×10^−5N/C
C. 1×10^6N/C
D. 9×10^−2N/C
2. What is the magnitude of the force on a Ca++ ion between the cell walls?
A. 4×10^−13N
B. 4×10^−12N
C. 2×10^−12N
D. 2×10^−11N
3. What is the potential difference between the cell walls?
A. 1×10^7V
B. 1×10^−2V
C. 6×10^−3V
D. 10V
4. What is the direction of the electric field between the walls?
A. Toward the outer wall.
B. Parallel to the walls.
C. Toward the inner wall.
D. There is no electric field.
5. If released from the inner wall, what would be the kinetic energy of a 3fC charge at the outer wall? 1fC=10^−15C.
A. 3×10^−14J
B. 3×10^−17J
C. 3×10^−8J
D. 3×10^−2J

Answers

Answer:

the correct answue are  B, A, C, C, B

Explanation:

1) The electric field is requested, let's approximate the membrane by a parallel plate with surface charge density

         E = [tex]\frac{\sigma }{2 \epsilon_o }[/tex]

         E = [tex]\frac{ 10^{-5}}{2 \ 8.85 \ 10^{-12}}[/tex]

         E = 5.65 10⁵ N / C

the correct answer is B

2) A calcium ion has two positive charges, so the force applied by each side of the membrane (plate)

         F = q E

         F = 2  1.6 10⁻¹⁹  5.65 10⁵

         F = 1.8 10⁻¹³ N

the total force is the sum of the force of each membrane and the two forces go to the same side

         F = total = 2 F

         F_total = 3.6 10⁻¹³ N

the correct answer is A

3) the field and the electric potential are related

          ΔV = - E s

          ΔV = - 5.65 10⁵  10 10⁻⁹

          ΔV = - 5.65 10⁻³ V

          the correct answer is C

4) In the exercise they indicate that the outer wall has a positive charge, therefore, as they indicate that we approximate the system to a capacitor, the inner wall must be negatively charged.

The electric field goes from the positive to the negative charge, which is why it goes from the outer wall to the inner wall

the correct answer is C

5) For this part we use conservation of energy

starting point. On the inside wall, brown

            Em₀ = U = qV

final point. On the outside

             Em_f = K

energy is conserved

           Em₀ = Em_f

           q V = K

            K = 3 10⁻¹⁵  5.65 10⁻³

            K = 1.7 10⁻¹⁷ J

the correct answer is B

11.
How can we increase pressure?
Reducing surface area
Increasing surface area
Reducing force

Answers

Reducing Surface Area.

If the surface area becomes smaller, the pressure becomes larger.

Free use of uniforms and socialization with classmates are possible advantages of ? A.)
dual sports B.)community-based sports programs C.)individual sports D.) school-based sports programs​

Answers

The answer is B community based sports program

Answer:

its d

Explanation:

A Newtonian fluid with a viscosity  drains through the space between two large parallel plates as shown in the figure. The gap distance between the plates is 2b. Obtain relations for the shear stress distribution, shear stress at the walls, velocity profile and volumetric flow rate assuming laminar flow and negligible end effects. You can begin the derivations by considering that vz=vz(x) only and pressure at the inlet and outlet is atmospheric.

Answers

Answer:

well

Explanation:

basically it's like

Which of the following is an example of charging by friction?

Answers

Answer: where is the examples?

Explanation:

Please upload a photo

You desire to observe details of the Statue of Freedom, the sculpture by Thomas Crawford that is the crowning feature of the dome of the United States Capitol in Washington, D.C. For this purpose, you construct a refracting telescope, using as its objective a lens with focal length 86.3 cm. In order to acheive an angular magnification of magnitude 5.01, what focal length fe should the eyepiece have?

Answers

Answer:

the focal length of the eyepiece is 17.23 cm

Explanation:

The computation of the focal length of the eyepiece is shown below:

= Focal length of objective lens ÷ angular magnification magnitude

= 86.3 ÷ -5.01

= 17.23 cm

Hence, the focal length of the eyepiece is 17.23 cm

We simply divided the angular magnification magnitude from the focal length of objective lens so that the focal length of the eyepiece could come

If an irregularly shaped object (such as a wrench) is dropped from rest in a classroom and feels no air resistance, it will If an irregularly shaped object (such as a wrench) is dropped from rest in a classroom and feels no air resistance, it will accelerate and turn about its center of gravity with uniform angular speed. accelerate and turn about its center of gravity with uniform angular acceleration. accelerate and turn until its center of gravity reaches its lowest point. accelerate and spin until its center of gravity reaches its highest point. accelerate but will not spin.

Answers

Answer:

It accelerate but will not spin.

Explanation:

If an irregular shaped object is dropped from rest without feeling any form of air resistance it will accelerate without spinning and this is due to the fact that there is no Torque around  the center of gravity

Why did the “yielders” conform in Asch’s experiment?

Answers

Answer:

Asch's experiment showed that about 75% of people were "yielders" who conformed and 25% were "independent" who didn't conform. Asch concludes that people ignored reality and gave an incorrect answer in order to follow the rest of the group.

Question 2 of 10
Which type(s) of radiation can damage living cells?
O A. Beta particles and gamma rays only
O B. Alpha particles, beta particles, and gamma rays
O C. Gamma rays only
D. Alpha particles and gamma rays only

Answers

The type of radiation which can damage the living cells are the X-rays, beta particles, and the gamma rays. Thus, the correct option is A.

What are damaging radiations?

Radiations have been found to damage the DNA molecules present in the cells. High doses of the radiation damage the cell and these radiations could lead to Acute Radiation Syndrome (ARS) or Cutaneous Radiation Injuries (CRI). High doses of these radiation could also lead to formation of tumor and cancer later in the life.

Gamma rays are the most harmful external hazard or radiations among all the radiations and these result into acute effects. Beta particles are also harmful to the cell because these can partially penetrate the skin, causing beta burns in the skin. Alpha particles cannot penetrate the intact skin. Gamma and x-rays can pass through a person which results into damaging cells in their path.

Therefore, the correct option is A.

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Which segments show changes of state that absorb heat? Check all that apply.

B–C
C–D
D–C
D–E
E–F

Answers

Answer:

B-C

D-E

Explanation:

Trust

Answer:

B-C and D-E are correct

Explanation:

Water cam form large dewdrops in nature. How would droplets made of isopropyl alcohol instead of water be different?

Answers

Answer:

Isopropyl alcohol would form smaller droplets because it has a lower surface tension than water has.

Explanation:

1. The block shown below is being putled to the right on a horizontal table,
Which labeled vectors represent all the forces acting on the block?

Answers

Answer:

E

Explanation:

A Or b
Question in picture

Answers

Answer:

the answer to the question is indeed B

answer is b!!!!!!!!!!!

Which of the following is the most important difference between a permanent magnet and a electromagnet

Answers

Answer:

Explanation: the major difference between an electromagnet and permanent magnet is that the former can have a magnetic field when electric current flows through it and disappears when the flow of the current stops. ... It will always displays the magnetic behaviour.

An electron moves through a region of crossed electric and magnetic fields. The electric field E = 3059 V/m and is directed straight down. The magnetic field B = 1.14 T and is directed to the left. For what velocity v of the electron into the paper will the electric force exactly cancel the magnetic force?

Answers

Answer:

v = 2683.33 m/s

Explanation:

The magnetic force and the electric force on the electron must be the same, in order for them to cancel each other:

[tex]Electric\ Force = Magnetic\ Force\\Eq = qvBSin\theta \\\\v = \frac{E}{BSin\theta}[/tex]

where,

v = velcoity of electron = ?

E = Electric Field = 3059 V/m

B = Magnetic Field = 1.14 T

θ = Angle between velocity and magnetic field = 90°

Therefore,

[tex]v = \frac{3059\ V/m}{(1.14\ T)Sin90^o}[/tex]

v = 2683.33 m/s

The Image shows a magnetic field around the poles of a magnet. Identify the areas where the magnetic force is the strongest.
N

Answers

Answer:

strongest are at the points of the north pole and the south pole, specifically between the red box and the letter of each pole.

Explanation:

The lines of magnetic force are drawn so that the density of lines is proportional to the intensity of the magnetic field.

Therefore, the sections where the magnetic field is strongest are at the points of the north pole and the south pole, specifically between the red box and the letter of each pole.

write formula of Plank's constant ,angular momentum, impulse ,stress,Young s modulus.​

Answers

Answer:

E = hf. Plank's constant

L=mvr  Angular momentum

F • t = m • Δ v. Implulse

: σ = F/A  Stress

Explanation:

for youngs modulus its in the pictuure

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