A 5 kg mass compresses a horizontal spring by .06 meters. The spring has a spring constant of 2 N/m. If the surface is frictionless, find the velocity of the mass when the spring is released.

Answers

Answer 1

Answer:

Explanation:

The frictionless surface implies that the speed of the spring is at a max. When the speed of the spring is at its max, the potential energy in the spring is 0. Use the equation for the Total Energy in a Spring/Mass System:

KE + PE = [tex]\frac{1}{2}kA^2[/tex] where KE is the Kinetic Energy available to the spring, PE is the potential energy available to the spring, and the sum of those is equal to one-half times the spring constant, k, times the amplitude of the spring's movement away from the equilibrium position. Sometimes this amplitude is the same as the displacement of the spring. This can be tricky. But since we are only given one value for the distance, we are going to use it as an amplitude. Keeping in mind that the PE is 0 when KE is at its max, then the equation becomes

KE + 0 = [tex]\frac{1}{2}kA^2[/tex] or to put it simpler terms:

KE = [tex]\frac{1}{2}kA^2[/tex] We need to find the value for KE before we can fully solve the problem we are being tasked with.

Filling in using the info given:

[tex]KE=\frac{1}{2}(2.0)(.06)^2[/tex] Notice I added another place of significance to the 2 because 1 simply isn't enough and the physics teacher in me can't handle that. Simplifying a bit:

[tex]KE=(.06)^2[/tex] because the k = 2 cancels out the 2 in the denominator of the 1/2. So

KE = 3.6 × [tex]10^{-3[/tex]

Now plug that in for KE and solve for v:

KE = [tex]\frac{1}{2}mv^2[/tex]:

[tex]3.6*10^{-3}=\frac{1}{2}(5.0)v^2[/tex] and

[tex]v=\sqrt{\frac{2(3.6*10^{-3})}{5.0} }[/tex] gives us a velocity of

v= [tex]3.8*10^{-2[/tex]


Related Questions

A rookie quarter back throws a football with an initial upward velocity component of 12.0 m/s and a horizontal velocity component of 20.0 m/s. Ignore resistance. How much time is required for the football to reach the highest point of the trajectory

Answers

Answer:

t = 1.22 s

Explanation:

Given that,

The initial upward velocity component of a football = 12 m/s

The horizontal velocity component is 20 m/s

We need to find the time required for the football to reach the highest point of the trajectory. Let the time is t.

Using first equation of motion to solve it such that,

[tex]v=u+at[/tex]

u is initial velocity

v is final velocity

a = -g

so,

[tex]t=\dfrac{u}{g}\\\\t=\dfrac{12}{9.8}\\\\t=1.22\ s[/tex]

So, the required time taken by the football to reach the highest point is 1.22 seconds.

what is the lowest frequency of a standing wave that has the fewest number nodes and antinodes​

Answers

Answer:

Fundamental frequency

What is the period of a sound wave with a frequency of 20Hz?

Answers

Answer is 0.05

Explanation

Please hurry Describe why electric currents can be dangerous

Answers

Answer:

Cardiac Arrest, burns, and nerve damage.

Explanation:

Basically, the main risk is cardiac arrest, caused by the electric current interfering with the normal operation of the heart muscle. Other possible damages are burns due to the electric energy vaporizing the water inside the cells, and nerve damage caused by excessive current through the nerves.

Hello, can you help me? I have this question and I don't know how to answer it. Is a tire a conductor or an insulator? Thank you!

Answers

Answer: They're Conductors.

Explanation:

A flywheel slows from 600. to 416 rev/min while rotating through 34.0 revolutions. What is the angular acceleration of the flywheel

Answers

Answer: [tex]\alpha=4.798\ rad/s^2\quad [\text{deceleration}][/tex]

Explanation:

Given

Initial revolution of flywheel [tex]N_1=600\ rpm[/tex]

(Initial angular velocity [tex]\omega_i=\dfrac{2\pi N_1}{60}[/tex])

Final revolution of flywheel [tex]N_2=600\ rpm[/tex]

(Final angular velocity [tex]\omega_f=\dfrac{2\pi N_1}{60}[/tex])

Revolution turned [tex]34[/tex]

So, angle turned is [tex]\theta =2\pi \times 34\\[/tex]

Using equation of angular motion i.e. [tex]\omega_f^2-\omega_i^2=2\cdot \alpha \cdot \theta[/tex]

[tex]\Rightarrow \left(\dfrac{2\pi \times 416}{60}\right)^2-\left(\dfrac{2\pi \times 416}{60}\right)^2=2\alpha \times (68\pi )\\\\\Rightarrow \alpha=\dfrac{1898.344-3948.86}{427.312}\\\\\Rightarrow \alpha =-4.798\ rad/s^2\\\Rightarrow \alpha =4.798\ rad/s^2\quad [\text{deceleration}][/tex]

defination of formula bar​

Answers

The Formula Bar is where data or formulas you enter into a worksheet appear for the active cell. The Formula Bar can also be used to edit data or formula in the active cell. The active cell displays the results of its formula while we see the formula itself in the Formula Bar.

mark me brainliestt :))

is where data or formulas you enter into a worksheet appear for the active cell. ... The active cell displays the results of its formula while we see the formula itself in the Formula Bar

plsss plsss plsss helppppp ASAP thank u ❤️​

Answers

Answer:

7. (D) uniformly accelerated vertical motion

8. (A) zero

9. (A) zero

10. (C) parabolic

Answer:

7.Uniformly accelerated vertical motion

8.0m/s²

9.9.8m/s

10.parabolic

11.vertical component.


Steph uses 18 Newtons of force to push a piano up a ramp. She uses a total of 900 Joules getting this piano into the moving truck. Calculate the
distance of the ramp.

Answers

[tex]\huge{ \mathcal{  \underline{ Answer }: }}[/tex]

[tex] \boxed{ \mathrm{Work done = Force × displacement}}[/tex]

[tex]900 = 18 \times d[/tex]

[tex]d = \dfrac{900}{18} [/tex]

[tex]d = 50[/tex]

Therefore the distance covered :

[tex] \large \boxed{50 \: m}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

why did the transcontinental railroad lead to the end of pioneer era because.

Answers

Explanation:

It made commerce possible on a vast scale.

In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast, the railroad also facilitated international trade. ... Building of the Transcontinental Railroad, circa 1869.

The blank
is the organ responsible for cleaning a person's blood.

Answers

Liver is the correct answer
The answer is liver

What Do Alien Civilizations Look Like?

Answers

Answer:

We dont know. It can look like anything

Explanation:

Although it's thought to be highly probable, we have no reliable evidence that aliens exist.

Una lámpara requiere 5 A y presenta una resistencia de 20 Ω, cuando está
encendida.
a. ¿Cuál es la tensión?
b. ¿Qué resistencia adicional requiere si se desea operar a 120 V?
c. ¿Y 110 V?

Answers

Answer:

a. V = 100 voltios

b. Para 120 V → [tex]R_{2} = 4 \Omega[/tex]

c. Para 110 V → [tex]R_{2} = 2 \Omega[/tex]

Explanation:

a. La tensión se puede calcular mediante la ley de Ohm:

[tex] V = IR [/tex]

V: es el voltaje o tensión =?

I: es la corriente = 5 A

R: es la resistencia = 20 Ω

Entonces, la tensión es:

[tex]V = IR = 5 A*20 \Omega = 100 V[/tex]

b. La resistencia adicional es la siguiente:

[tex] R_{2} + R_{1} = \frac{V}{I} [/tex]

[tex]R_{2} = \frac{V}{I} - R_{1} = \frac{120 V}{5 A} - 20 \Omega = 4 \Omega[/tex]

     

c. La resistencia adicional para operar a 110 voltios es:

[tex]R_{2} = \frac{V}{I} - R_{1} = \frac{110 V}{5 A} - 20 \Omega = 2 \Omega[/tex]

Espero que te sea de utilidad!

What causes hot spot volcanoes to form?

Answers

Answer:

A volcanic "hotspot" is an area in the mantle from which heat rises as a thermal plume from deep in the Earth. High heat and lower pressure at the base of the lithosphere (tectonic plate) facilitates melting of the rock. This melt, called magma, rises through cracks and erupts to form volcanoes.


Questions
1. Why does pressure on a diver increase with
depth?​

Answers

Answer:

The weight of the water above a diver exerts pressure on their body. The deeper a diver descends, the more water they have above them, and the more pressure it exerts on their body

Which example below is the most complex component of a multicellular organism?

Question 20 options:

Skin cell


Heart


Muscle Tissue


Reproductive System

Answers

the answer should be c.

hii can someone pls help me??

Answers

F = ma

F = 8.5 × 6

F = 51 N

................

F=51N....hope this helped out .........


-ww.A
m = 15.0 kg
The block at Position A is released from the spring with 100 J of elastic potential energy. How
much kinetic energy does the block have at Position B? Explain how you know.

Answers

Answer:

v = 3.65 m / s

Explanation:

In this exercise we use the conservation of mechanical energy

starting point. Point A compressed spring

          Em₀ = 100 J

final point. Point B uncompressed spring

         Em_f = K = ½ m v²

energy is conserved

         Em₀ = Em₀_f

         100 = ½ m v²

         v = [tex]\sqrt{ \frac{2 \ 100 }{m} }[/tex]

         v = [tex]\sqrt {200/15}[/tex]

         

         v = 3.65 m / s

what is Snell law of refraction????​

Answers

Answer:

Snell's law of refraction also known as the second law of refraction which states:

The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant or given pair of Media .

What is the kinetic energy of an a 7.1 kg sled with a velocity of 5.7 m/s?

Answers

Answer:

115.3395 j

Explanation:

K= 1/2mv²= (7.1/2)*5.7² = 115.3395 j

Answer:

115.34 J

General Formulas and Concepts:

Energy

Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]

m is mass (in kg)v is velocity (in m/s)

Explanation:

Step 1: Define

Identify variables

[Given] m = 7.1 kg

[Given] v = 5.7 m/s

[Solve] KE

Step 2: Solve for KE

Substitute in variables [Kinetic Energy Formula]:                                       [tex]\displaystyle KE = \frac{1}{2}(7.1 \ kg)(5.7 \ m/s)^2[/tex]Evaluate exponents:                                                                                     [tex]\displaystyle KE = \frac{1}{2}(7.1 \ kg)(32.49 \ m^2/s^2)[/tex]Multiply:                                                                                                         [tex]\displaystyle KE = (3.55 \ kg)(32.49 \ m^2/s^2)[/tex]Multiply:                                                                                                         [tex]\displaystyle KE = 115.34 \ J[/tex]

Topic: AP Physics 1 - Algebra Based

Unit: Energy

Book: College Physics

Drag each tile to the correct box a chemical reaction takes place in which energy is released arrange the reactions characteristics in order from start to finish

Answers

where are the tiles my wise sir

How old are the hydrogen atoms in water?

Answers

Answer: 4.5 billion years

Explanation:

Some of the water molecules in your drinking glass were created more than 4.5 billion years ago, according to new research.

That makes them older than the Earth, older than the solar system — even older than the sun itself.

FInish the lyircs! I am healthy I am wealthy

Answers

Answer:

I am rich, I am that bi*ch. I am gonna go get that bag and I am not gonna take your ****

Explanation:

m = [1/√1-(v/c) 2 ]mo
An object whose rest mass is 2.0kg is accelerated to 0.9c. What is its relativistic mass?

Answers

Relativistic kinetic energy is KErel = (γ − 1)mc2. γ=1+1v22c2 γ = 1 + 1 v 2 2 c 2 . A binomial expansion is a way of expressing an algebraic quantity as a sum of an infinite series of terms.

Hope This Helps You

Please hurry Describe why electric currents can be dangerous. ***what causes it to happen in the circuit not biology****

Answers

Answer:

Basically, the main risk is cardiac arrest, caused by the electric current interfering with the normal operation of the heart muscle. Other possible damages are burns due to the electric energy vaporizing the water inside the cells, and nerve damage caused by excessive current through the nerves.

The main hazards of working with electricity are:

Electric shock and burns from contact with live parts.Injury from exposure to arcing, fire from faulty electrical equipment or installations.

Explanation:

they can electrocute your to death and fry your brain

If you have a frequency of 99Hz what is your period?

Answers

Answer:

frequency=1/time period

99HZ*time period=1

time period=1/99HZ

=0.01 second

Explanation:

Physics class, need hell

Answers

Answer:

325.76 revolutions

Explanation:

The tire radius is diameter/2: 42/2 = 21

And now we can discover the lenght of the tire circumference. The lenght of a circumference is given by 2×radius×π, and let's consider π=3.14, and let's use the radius in meter (21 cm = 0.21 m):

2•0.21•3.14 = 1.32 m of lenght

Now, you divide the distance the car moved by the lenght of the tire circumference and you will find how many revolutions the tire makes:

420/1.32 = 325.76


A horizontal, uniform board of weight 125 N and length 4 m is supported by vertical chains at each end. A person weighing 500 N is hanging from the board. The
tension in the right chain is 250 N.
Which of the following describes where the person is hanging?

Answers

Answer:

let Tension in the left chain is F

here, Fnet = 0

⇒F - 500N + 250 N - 125 N = 0

⇒F - 375 N = 0

⇒F = 375 N

let r from the left end of the board is the person sitting.

now torque at left end, τ = 0.

⇒375 × (0) - 500N × (r) + 250N × (4m) - 125 N × (2m) = 0

⇒0 - 500r + 1000 - 250 = 0

⇒750 = 500r

⇒r = 750/500 = 1.5 m

Explanation:

Can you please give this answer a brainliest answer please

In regard to the Compton scattering experiment with x-rays incident upon a carbon block, as the scattering angle becomes larger, what happens to the magnitude of difference between the incident and scattered wavelengths

Answers

Answer:

Increases

Explanation:

In the Compton scattering experiment with x-rays,

The change in operation

[tex]\Delta \lambda = \frac{h}{m_oc} [1-cos\theta][/tex]

Now rest being constant, as \theta increases, cos\theta decreases

Hence, The change in wavelength will increase with the increase in \theta.

Hence, wavelength increases with an increase in the angle of scatttering.

Using organisms such as fungi to detoxify a polluted area is called

A. sustainable use
B. bioremediation
C. endemic treatment
D. edge effect

Answers

Answer:

bioremediation :)

Explanation:

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