Assume that the body's muscle mechanism can be approximated by a spring with a uniform continuous mass distribution that follows Hooke's law. Concerning this,
A) find the effective mass of the spring with mass m.
Then, estimate the potential energy which can be mechanically stored in B) the muscles of each arm, and
C) the muscles of each leg,
and estimate the spring constant of
D) each arm muscles, and
E) each leg muscle.
F) Now, could estimate the speed of a runner by using these results?

Answers

Answer 1

Based on Hooke's law, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.

What is the spring constant?

The spring constant or stiffness constant of an elastic spring is constant which describes the extent a bit forceapplied to an elastic spring will extend it.

Spring constant, K = force/extension

Assuming, a body's muscle mechanism is a spring obeying Hooke's law, the effective mass of the spring with mass m is 1/3 of the mass of the spring = m/3

The potential energy that can be stored = ke^2 / 2

where K is spring constant and e is the extension produced.

Therefore, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.

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Related Questions

An audio compact disk (CD) has a playing time of 55 minutes. When the music starts, the CD is
rotating at an angular speed of 480 revolutions per minute (rpm) and during the playback the
rotation slows down. The average angular acceleration of the CD is a = -4.0 rev/min . Find the
angular speed at which the CD is rotating at the end of the music. Express your answer both in
rev/min and also in rad/s.

Select one:
27.2 rad/s
220 rad/s
120 rad/s
260 rad/s
22 rad/s

Answers

Answer:

See below

Explanation:

-4 rev / min^2 * 55 min =  - 220 rev/ min

480 - 220 = 260 rev/min at end

2pi radians /rev * 260 rev/min  = 1633.6 Radians/min

At the end of the music, the angular speed of the C.D. would be (d) 260 rev/minute and 1633.6 rad/minute

To calculate angular speed following information is given in the question:

The angular speed (ω) of the C.D. at starting = 480 revolutions/minuteThe playing time (t) of the C.D. is = 55 minutesThe angular acceleration (α) of the C.D. = -4 rev/[tex]min^{-2}[/tex] Angular speed of the C.D. at the end of the music will be = α*tAngular speed of the C.D. at the end of the music will be = 4 rev/[tex]min^{-2}[/tex] *55 min = -220 rev/minAt the end of the music angular speed = 480-220 rev/min = 260 rev/minValue of angular speed in rad/sec = 2π radians/rev*260 rev/min = 1633.6 Radians/min

Hence, option (d) is correct which states that the angular speed is 260 rev/min and 1633.6 radians/min.

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I need help with this please

Answers

Answer:

i think its 100

Explanation:

solve ~
[tex]13x - 26 + 39 = 0[/tex]

ty! :)

Answers

Explanation:

13x - 26 + 39 = 0

13x=26-39

13x=-13

x= -1

[tex]13x-26+39=0\\\\\implies 13x +13 = 0\\\\\implies 13x = -13\\\\\implies x = -\dfrac{13}{13}\\\\\implies x = -1[/tex]

student asserted that a suitable unit of specific heat capacity is m²/s²°c .is he correct ? why or why not​

Answers

Answer:

Socratic app

Explanation:

it will help you

If you have a mass of 0.9kg and a velocity 12 m/s what is your momentum?

Answers

Momentum
= mass x velocity
= 0.9 x 12
= 10.8 kgm/s.

Help please!

An object of mass m is oscillating with a period T. The position x of the object as a function of time is given by the equation x(t)=Acosωt . The maximum net force exerted on the object while it is oscillating has a magnitude F. Which of the following expressions is correct for the maximum speed of the object during its motion?

Answers

The correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].

Maximum speed of the object

The maximum speed of the object is determined using the following formulas;

v(max) = Aω

where;

A is the amplitude of the motionω is angular speed

The maximum speed of the object can also be obtained from the maximum net force on the object,

F = ma

where;

F is the maximum net forcea is the accelerationm is mass of the object

F = m(v/t)

mv = Ft

v = Ft/m

Thus, the correct expression for the maximum speed of the object during its motion is [tex]\frac{FT}{m}[/tex].

Learn more about maximum speed here: https://brainly.com/question/4931057

Answer:

[tex]\frac{FT^{2} }{4\pi ^{2} }[/tex]

Explanation:

I just finished the AP Physics Exam and the other answer got the question wrong.

A student uses a candle to model the process of an existing rock becoming an igneous rock. Which procedure best demonstrates the formation of an igneous rock?A) Melt the candle in a dish on a hotplate and keep it in liquid form.B) Break the candle into small pieces and crush the small pieces until they stick together.
C) Place books on top of the candle to apply pressure, and then heat it so its composition changes.D) Hold the lit candle over a small dish, and then let the melted candle wax that drops into the dish cool and harden.

Answers

Answer:

D) Hold the lit candle over a small dish, and then let the melted candle wax that drops into the dish cool and harden.

N:B-- IT MUSTN'T REMAIN IN LIQUID FORM; IT MUST COOL & SOLIDIFY.

Explanation:

Igneous rocks are formed when magma cools and solidifies in the earth's crust.

 Their characteristics are;Crystalline in nature.Are massive.Lack fossils

4. A swimming pool has dimensions 30 meters by 10 meters and a flat bottom. When the pool is filled to a depth of 2 meters with fresh water, what is the total force due to the water on the bottom?

Answers

Answer:

The force exerted by fresh water at the bottom is [tex]5.88*10^6Nm^2[/tex]

All my work is shown in the Picture*

~BrainlyMaster21 - Helping Students~

how many snow leopards live together in the wild (give a number or tell if they are solitary?)

Answers

Snow leopards are solitary... If you ever see a two or more snow leopards together, consider yourself extremely lucky! Fun fact: There is no term for a group of snow leopards because it is so rare to see them in a group!

Your welcome!

true or false
a)we should play inside our classroom..........
b)curd is made from milk........
c) wa.........t.............​

Answers

Answer:

a) we should play inside our classroom

Explanation:

Lactose intolerance does not mean a kid is allergic to milk, but they will probably feel bad after drinking milk or eating dairy products

Calculate the electric field at x = 2 given the electric potential at this point is ϕ=3x3.

Answers

Hi there!

Recall the following relationship:
[tex]E = -\frac{dV}{dx}[/tex]

E = Electric field strength (V/m)
V = Potential Difference (V)

Take the derivative of the given electric potential equation using the power rule:
[tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]

[tex]-\frac{dV}{dx} = -(3 \cdot 3 \cdot x^2) = -9x^2[/tex]

Evaluate at x = 2:
[tex]E(2) = -9(2^2) = \boxed{-36 \frac{V}{m}}[/tex]

**The magnitude of the field strength would simply be 36 V/m.

What is the magnetic flux going through a coil with 0.065 m2 area if the intensity of the magnetic field is 0.114 T.

Answers

Hi there!

[tex]\Phi _B = \int B \cdot dA[/tex]

φ = Magnetic Flux (Wb or Tm²)
B = Magnetic field strength (T)
A = Area (m²)

This equation includes a dot product, so this can be rewritten as:

[tex]\Phi _B = B A cos\theta[/tex]

In this instance, the field is parallel to the area, so cos(0) = 1.

Calculate the magnetic flux by plugging in the given values.

[tex]\Phi _B = BA = 0.114 * 0.065 = \boxed{0.00741 Wb}[/tex]

A box weighing 8 newtons requires a force of 2 newtons to push it along the floor. The coefficient or friction Berween the box and the floor is_?​

Answers

I believe the answer is 16.

 Have a blessed day!


In a ______ wave, particles
the medium move perpendicular
to the direction of the wave.

Answers

Answer:

Transverse wave

Explanation:

I hope this helps you! :)

4. The 50-kg crate shown in Fig. rests on a horizontal surface for which the coefficient of
kinetic friction is u - 0.3. If the crate is subjected to a 400-N towing force as shown,
determine the acceleration of the crate.
your
P = 400 N
490.5 N
400 N
too

30
30°
+
F-0.3 Nc
Nc
ΣΕ = max
Σ F, = may
A. a = 4. 185 m/s2
B. a = 5. 185 m/s2
C. a = 6. 185 m/s2
D. The entire above are false

Answers

Answer:

5.057 m/s^2

Explanation:

Force of kinetic friction = .3  = F /normal force

  .3 = F /(50* 9.81)     F of friction = 147.15

Net force =   400 - 147.5  =  252.85  N

F = m * a

252.85 = 50 * a       a = 5.057 m/s^2

1 Choose the picture you think shows the gravity forces on the Earth and the Sun.
(a longer arrow to represents a big force, and a shorter arrow represent a smaller force)
b)
c)
a)
.
d)
e)
o

Answers

The force of gravity of the sun on Earth is a large force, and it can be represented by a longer arrow.

Force of gravity of sun on Earth

The force of gravity of the sun on Earth is determined using the following formula.

F = mg

where;

m is mass of the earth = 5.97 x 10²⁴ kgg is acceleration due to gravity of EARTH due to SUN = 9.8 m/s²

F = 5.97 x 10²⁴ x  9.8

F = 5.85 x 10²⁵ N

Thus, the force of gravity of the sun on Earth is a large force, and it can be represented by a longer arrow.

Learn more about force of gravity here: https://brainly.com/question/2537310

Fill in the blanks. If an object changes speed of __, its velocity also changes. Any change in ___results in acceleration.

Answers

If an object changes the speed of direction, its velocity also changes. Any change in velocity results in acceleration.

Hope that helps!

WILL GIVE BRAINLIEST no spamming
How are stationary waves formed on a string?

Answers

Answer:

hey, please open my account and see my question, please help me solve the task, I have to send it to the teacher soon.

Answer:

When waves are generated and they reflect off a fixed end, the reflected waves are completely out of phase. The reflected waves and the incident waves interfere with each other along the path and results in the formation of nodes and anti-nodes. Nodes are points of completely out of phase interference and anti-nodes are points of completely in phase interference.

What role does your chosen reaction play in your life? Combustion

Answers

Answer:

When fuels burn in combustion reactions, they release useful thermal energy (heat). Combustion reactions are used to heat our homes, power most cars, and to generate a lot of our electricity.

Energy production from the reaction is what drives life and human greed. We stay alive by eating carbon-rich compounds, which are then burned in a spectacularly controlled and efficient manner to provide us with energy. It is the all-important energy term in the combustion equation that has made life on Earth possible

All forces on the bullets cancel so that the net force on a bullet is zero, which means the bullet has zero acceleration and is in a state known as?

a. collision
b. equilibrium
c. momentum
d. parallel vectors

Answers

Answer:

its b equilibrium

Explanation:

trust

which is closely related to a whale? a shark, a toad, an alligator, a penguin or a bat?

Answers

Answer:

Any artidiodactyls such as hoofed animals. Deer, camels, cows, pigs, hippos are just some that are closely related to the whale.

yea what the person above said !!

Two blocks are connected to identical ideal springs and are oscillating on a horizontal frictionless surface. Block A has mass m, and its motion is represented by the graph of position as a function of time shown above on the left. Block B’s motion is represented above on the right. Which of the following statements comparing
block B to block A is correct?

(A) Because block B covers more distance per cycle than block A, block B takes more time to complete each
cycle.
(B) Because the spring attached to block B is initially stretched a greater distance, the spring constant is smaller
and therefore block B has a slower average speed than block A does.
(C) Because block B has more mass, it has a slower average speed than block A does.
(D) Because block B has more mass, its acceleration is smaller than that of block A at any given displacement
from the equilibrium position.

Answers

Hi there!

We can begin by identifying key characteristics of both graphs.

Graph A.

Looking at the graph, we can see that the maximum distance (amplitude) is 10 cm (0.1 m). Additionally, its period (T) is 2 seconds (one full cycle).

We also know that:
[tex]T = 2\pi \sqrt{\frac{m}{k}}[/tex]

We can use this equation to compare with the other graph. Notice how the period does NOT depend on how far the spring is stretched. We can eliminate choice A for this reason.

Graph B.

The amplitude is 20 cm (0.2 m), and each period is 4 seconds.

We can now eliminate choice B because the springs are identical, so their spring constants are equal. Distance stretched has no impact on the spring constant.

For the other choices, we must look at forces and work.

Recall that:
Spring potential energy = [tex]\frac{1}{2}kx^2[/tex]

Kinetic energy = [tex]\frac{1}{2}mv^2[/tex]

Using the work-energy theorem:

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

Even if the mass of Block B is greater, its displacement is larger than that of Block A. Since displacement is squared in this equation, it would have a greater effect on the speed. Thus, Choice C is incorrect.

Using Hooke's Law:
[tex]\Sigma F = -kx\\\\ma = -kx\\[/tex]

[tex]a = \frac{-kx}{m}[/tex]

If the mass is greater, the acceleration will be smaller. Choice D is correct.


1. how does a waveform change when you increase the frequency?
2. how does the sound change when you increase the frequency of the waveform?
3. how does the waveform change when you decrease the frequency?
4. how does the sound change when you decrease the frequency?
pls help

Answers

Answer:

1.Wave frequency is the number of waves that pass a fixed point in a given amount of time. The SI unit for wave frequency is the hertz (Hz), where 1 hertz equals 1 wave passing a fixed point in 1 second. A higher-frequency wave has more energy than a lower-frequency wave with the same amplitude.

A charged particle moves in a uniform magnetic field of 0.775 T
with a period of 4.79×10−6 s.
Find its charge-to-mass ratio ||/.

Answers

Hi there!

Recall that a charge that enters a magnetic field while moving experiences a magnetic force that causes it to enter a state of uniform circular motion.

We know the following (For a point charge):
[tex]F_B = qv B[/tex]

q = Charge (C)
v = velocity (m/s)
B = Magnetic field (T)

Fb= Magnetic force (N)

The equation for centripetal force:
[tex]F_c = \frac{mv^2}{r}[/tex]

m = mass (kg)

v = velocity (m/s)

r = radius (m)

Fc = Centripetal force (N)

Since we are given its period:
[tex]T = \frac{2\pi r}{v}\\\\v = \frac{2\pi r}{T}[/tex]

Plug this expression into the above equations. Since the magnetic force equals the centripetal force, set them equal to each other and simplify.

[tex]q\frac{2\pi r}{T} B = \frac{m}{r}(\frac{2\pi r}{T})^2[/tex]

Cancel out the expression.

[tex]qB = \frac{m}{r} (\frac{2\pi r}{T})[/tex]

Cancel out 'r'.

[tex]qB = \frac{2\pi m}{T}[/tex]

Now, we can simplify as necessary to find a value for 'q' over 'm':
[tex]\frac{q}{m} = \frac{2\pi }{TB} = \frac{2\pi }{(4.79 \times 10^{-6})(0.775)} = \boxed{1692554.464}[/tex]

Thus, the charge is 1.693 ×10⁶ times larger than its mass.

a true statement of
kinetic theory

Answers

Answer:

real kinetic theory means that kinetic energy

can i get some help please

Answers

Answer:

B. They reproduce

Explanation:

Both arent made up of one cell, and both arent made up of mutliple cells. Only some unicellular and multicellular organisms are infectious.

Answer:

Your answer would be:
B.) They reproduce.

Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism, while multicellular organisms use many different cells to function. Multicellular organisms are composed of more than one cell, with groups of cells differentiating to take on specialized functions.

Unicellular organisms are made up of only one cell that carries out all of the functions needed by the organism. Multicellular organisms use many different cells to function.


Unicellular organisms are single-celled.

Multicellular organisms are multi-celled.
However, both reproduce.




Explanation:

Have a great rest of your day
#TheWizzer

(13.04 HC)

The nose works with the brain and other body parts through a series of steps that help us smell odors. What step immediately follows the step of your nose taking in the smell of something burning in the kitchen?

The brain realizes that it is the smell of something burning.
The brain sends a message to the muscles in your legs to move.
The muscles pull on the bones in your legs and you move toward the kitchen.
The nose sends the information of the smell to the brain.

Answers

Answer:

The nose sends the information of the smell to the brain.

Explanation:

i think but I'm not really sure

According to Sigmund Freud, memories that easily surface into everyday thought are which part of the mind?

Answers

The conscious mind contains all of the thoughts, memories, feelings, and wishes of which we are aware at any given moment. This is the aspect of our mental processing that we can think and talk about rationally. This also includes our memory, which is not always part of consciousness but can be retrieved easily and brought into awareness.

hope it helps...!!!

According to Sigmund Freud, memories that easily surface into everyday thought are a conscious part of the mind.

What is conscious mind?

At any given time, the conscious mind contains all of our thoughts, memories, feelings, and wants.

This is the element of our brain functioning that we can reasonably think about and discuss. This includes our memories, which are not always conscious but can be readily recovered and brought into awareness.

Memories that easily emerge into everyday consciousness, according to Sigmund Freud, are a conscious element of the mind.

Hence, memories that easily surface into everyday thought are a conscious part of the mind.

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Two point charges, initially 1 cm apart, are moved to a distance of 3 cm apart. By what
factor do the resulting electrostatic forces between them change?

Answers

ANSWER : 1/9

explanation : As per Coulomb Law, electric force, is inversely related to the square of the distance that separate them.


15. A pattern of weather and
climate over three months is called a

Answers

Answer:

Explanation:

weather pattern

A pattern of weather over three months is called a climate.

What is climate?

Climate is the long-term pattern of weather in a particular area. Weather can change from hour-to-hour, day-to-day, month-to-month or even year-to-year. A region's weather patterns, usually tracked for at least 30 years, are considered its climate.

Weather refers to short-term changes in the atmosphere, climate describes what the weather is like over a long period of time in a specific area.

A pattern of weather over three months is called a climate.

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