The tendon from Lissa’s knee extensor muscles attaches to the tibia bone 1.5 in. (4 cm) below the center of her knee joint, and her foot is 15 in. (38 cm) away from her knee joint. What arc length does Lissa’s foot move through when her knee extensor muscles contract and their point of insertion on the tibia moves through an arc length of 2 in. (5 cm)?

Answers

Answer 1

Answer:

s₂ = 0.475 m = 47.5 cm

Explanation:

The arc length and the angle of rotation are related through the formula:

s = rθ

where,

s = arc length

r = radius of curvature

θ = angle of rotation

First, we consider the arc length covered by the point of insertion of extensor muscles.

s₁ = r₁θ

where,

s₁ = arc length covered by insertion of extensor muscle = 5 cm

r₁ = length of insertion from knee = 4 cm

θ = Angle of Rotation = ?

Therefore,

5 cm = (4 cm)(θ)

θ = (5 cm)/(4 cm)

θ =  1.25 rad

Now, we consider the arc length covered by the foot.

s₂ = r₂θ

where,

s₂ = arc length covered by the foot = ?

r₂ = distance from knee to foot = 38 cm = 0.38 m

The angle of rotation will be the same for the foot as the insertion.

Therefore,

s₂ = (0.38 m)(1.25 rad)

s₂ = 0.475 m = 47.5 cm


Related Questions

Which type of muscle helps the body move?
a
Cardiac
b
Smooth
c
Skeletal
d
None of the Above

Answers

Answer:

Cccccccc GIVE BRAINLYEST PLEASE

Answer: It´s c-skeletal

Explanation:

a 45 kg girl is bouncing on a trampoline. during a certain interval after she leaves t he surface of the trampoline, her kinetic energy decreases to 220 J from 420 J. how high does she rise during this interval neglect air resistance

Answers

Answer: Height = 0.45m

Explanation:

According to the conservation of energy, When there are no interactions outside a system ie  neglecting air resistance,The change in kinetic energy is equal to the change in potential energy in a closed system.

Therefore the kinetic energy decrease, the potential energy increases, and  decreases for increase in Kinetic energy

an is represented by the formulae

ΔKinetic energy + ΔPotential energy = 0

ΔKinetic energy = -ΔPotential energy ( where negative sign represent decrease as kinetic energy increases.

ΔK.E=ΔP.E

420J- 220J= mgh

mass = 45kg

g =gravitational acceleration =9.8 m/s^2

200J = 45 X 9.8 X h

h = 200/45 x 9.8 /= 0.45m

You can't always see electromagnetic waves, but they are found throughout
the universe. There are only a few waves that are visible to the human eye.
Electromagnetic radiation is used to meet our needs and wants. It makes
important things — like medical imaging, reheating food and cell phones
possible. Radiation can be helpful for sending texts, but it's not always a
good thing. The sunburn you get sitting on the beach is caused by
electromagnetic radiation, too.
The author of this passage would most likely agree with which of the following
statements?
A
Scientists do not know very much about electromagnetic waves.
B
Electromagnetic radiation can be both helpful and harmful to humans.
с
People understand electromagnetic waves better than ocean waves.
D
Electromagnetic radiation is more harmful than it is helpful.

Answers

The answer to the question is D.

The author of this passage is focusing on both the merits and demerits of electromagnetic waves. Thus, he agree with the statement  that electromagnetic radiation can be both helpful and harmful to humans.

What are electromagnetic waves?

Electromagnetic waves are transformation of energy and they are travelling with a combined electric field and magnetic field. There are various kinds of electromagnetic waves namely, ultraviolet, radio waves, microwaves x-rays etc.

All these waves have significant applications in various fields. Mostly in medical fields. They are used for diagnosing, cancer treatments drug optimization etc.

However, these waves are highly energetic and harmful too. Direct and elongated exposure to these waves may cause severe health risks including cancer.

The author addresses the advantages and disadvantages of the electromagnetic waves. Thus, option B is correct.

To find more on electromagnetic waves, refer here:

https://brainly.com/question/3101711

#SPJ2

How many atoms of each element are
needed to bond
Ca + F
k+ S
Li+ O

Answers

Answer:

How many electrons whill each element gain or lose in forming an ion? ... to form an ionic compound? a. Al and O b. H and N c. I and K d. F and Cl e. Li and S ... free flowing, but the valence electrons in ionic crystals have a strong bond with their atoms ... necessary to attain the electron configuration of what kind of element

Explanation:

11.
A current of 67 amps runs through a resistor of 37 ohms, how much voltage is lost?

Answers

You divide them. 67/37 is 1.5 and so you subtract it with the 67 and multiple it by the coherent integer from the multiplication and you would get 20 volts lost roughly.

Answer: 20 volts

The line segment joining the mid point of any side with the opssosite vertex is called? ​

Answers

a median:)
hope this helped!

How far will a motorcycle that accelerates at 1.28 m/s2 travel as its velocity increases from 10.0 m/s to 20.0 m/s?

Answers

This is the answer hope you get it :)

Answer:

117

Explanation:

Problem 9.20 A sphere of uniform density with mass 18 kg and radius 0.8 m is spinning, making one complete revolution every 0.4 s. The center of mass of the sphere has a speed of 8 m/s. (a) What is the rotational kinetic energy of the sphere

Answers

Answer:

K = 567.91 J

Explanation:

Given that,

Mass of sphere, m = 18 kg

Radius of a sphere, r = 0.8 m

It makes one complete revolution every 0.4 s.

The speed of center of mass of the sphere is 8 m/s

We need to find the rotational kinetic energy of the sphere. It is given by the formula as follows :

[tex]K=\dfrac{1}{2}I\omega^2[/tex]

I is moment of inertia,

[tex]I=\dfrac{2}{5}mr^2\\\\I=\dfrac{2}{5}\times 18\times (0.8)^2\\\\I=4.608\ kg-m^2[/tex]

[tex]\omega[/tex] is angular speed

[tex]\omega=\dfrac{2\pi }{0.4}\\\\=15.7\ rad/s[/tex]

So,

[tex]K=\dfrac{1}{2}\times 4.608\times (15.7)^2\\\\K=567.91\ J[/tex]

So, the rotational kinetic energy of the sphere is 567.91 J.

The rotational kinetic energy of the sphere is 710.8 J.

Moment of inertia of the sphere

I = ¹/₂mr²

I = 0.5 x 18 x (0.8)²

I = 5.76 kgm²

Angular speed of the sphere

ω = 2πf

ω = 2π x (1/0.4s)

ω = 15.71 rad/s

Rotational kinetic energy

K.E = ¹/₂Iω²

K.E = 0.5 x (5.76) x (15.71)²

K.E = 710.8 J

Thus, the rotational kinetic energy of the sphere is 710.8 J.

Learn more about rotational kinetic energy here: https://brainly.com/question/25803184

Write the electric field strength EE in all three regions as a function of rr: for r>r2r>r2, r1

Answers

Answer:

Explanation:

See attachment

A physicist is creating a computational model of a falling person before and after opening a parachute. What boundary conditions would be important here?
the air resistance encountered as the person falls

the speed at which the person falls

the change in kinetic and potential energy

the location where potential energy is zero

Answers

Answer:

Air resistance

Explanation:

Air resistance encountered as the person falls

Answer:

the location where potential energy is zero

Explanation:

A woman runs up a flight of stairs. The gain in her gravitational potential energy is U. If she runs up the same stairs with twice the speed, what is her gain in potential energy?

Answers

Answer:

U

Explanation:

The change in gravitational potential energy only depends of the difference in height (in this case the number of stairs), so as the height remained the same, her gain in potential energy remained the same, independent from her climbing speed.

If a coil stays at rest in a very large static magnetic field, no emf is induced in this coil. Group of answer choices True False

Answers

Answer:

True

Explanation:

Faraday's Law says that there is a emf induced in a conductor when the vector flux of the magnetic field across it changes in time.This can be true due to one of two facts, either the magnitude of the magnetic field changes in time, or the area through which the flux occurs changes due to the movement of the object.In this case, due to the magnetic field is constant, and the coil stays at rest, there is no possible change in flux, so emf induced is zero.

In a single process, a system does 125 J of work on its surroundings while 75 J of heat is added to the system. What is the internal energy change for the system

Answers

Answer:

-50J

Explanation:

What is the first law of thermodynamics?

"The first law of thermodynamics state that energy is conserved"

the expression bellow is the  Change in internal energy of a system

Change in internal energy of a system

= heat put into the system - work done by the system on its surroundings,

or

ΔU = ΔQ - ΔW.

given data

Work done=125J

Heat= 75J

change=?

Substituting we have

ΔU = 75- 125

ΔU = -50J

"ΔQ is positive if heat flows into the system, negative if it flows out of the system.

ΔW is positive if the system does work on its surroundings and it is negative if work is done on the system. "

Find the magnitude of the Sun's gravitational force on the Earth when the Earth is at perihelion and at aphelion. The perihelion and aphelion distances are 1.48 ✕ 1011 m and 1.52 ✕ 1011 m, respectively.

Answers

Answer:

Explanation:

Force F = GMm / R²

mass of the sun M = 1.99 x 10³⁰ kg

mass of the earth = 5.97 x 10²⁴ kg

value of G = 6.67 x 10⁻¹¹

for perihelion point R = 1.48 x 10¹¹ m

Force = 6.67 x 10⁻¹¹ x  1.99 x 10³⁰ x 5.97 x 10²⁴ / ( 1.48 x 10¹¹ )²

= 36.17 x 10²¹ N  

for aphelion point R = 1.52 x 10¹¹ m

Force = 6.67 x 10⁻¹¹ x  1.99 x 10³⁰ x 5.97 x 10²⁴ / ( 1.52 x 10¹¹ )²

= 34.29  x 10²¹ N  

I NEED HELP ASAP! PLS! <3

Answers

Answer:

a = - 1 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f} = v_{o} +(a*t)[/tex]

where:

Vf = final velocity = 0 (velocity at 10 seconds)

Vo = initial velocity = 4 [m/s]

a = desacceleration [m/s²]

t = time = 4 [s]

From the graph, we can deduce that between the second 10 and the second 6 there are (10-6) = 4 seconds difference.

In the second 6, the velocity is 4 [m/s]

0 = 4 + (a*4)

4*a = -4

a = - 1 [m/s²]

Use the drop-down menus to identify the parts of the diagram labeled A, B, and C.

Label A

Label B

Label C

Answers

Answer:

b

Explanation:

bcuz I looked it up and it was on there

Answer:

the answers are:

- cool fluid sinks

- warm fluid rises

- convention current

Explanation:

Im late but mark me as brainliest for helping you out cause the one on top is clueless

A 0.414 kg object is at rest at the origin of a coordinate system. A 2.08 N force in the positive x direction acts on the object for 1.57 s. What is the velocity at the end of this interval

Answers

Answer:

The value is [tex]v = 7.89 \ m/s[/tex]

Explanation:

From the question we are told that

  The mass  of the object is [tex]m = 0.414 \ kg[/tex]

   The force is [tex]F = 2.08 \ N[/tex]

  The time taken is  [tex]t = 1.57 \ s[/tex]

Generally the force acting on the object according to Newton's second law is

        [tex]F = \frac{ m (v -u )}{t}[/tex]

=>     [tex]v = \frac{F * t}{m} + u[/tex]

Here u is the initial velocity with value  0 m/s since the object was initially at rest

        [tex]v = \frac{2.08 * .57}{0.414 } + 0[/tex]

     [tex]v = 7.89 \ m/s[/tex]

An asteroid floating in space attracts a skyscraper on Earth’s with gravitational force of 12
newtons from a given distance. If the distance between the two objects is reduced to half, what is the
changed force of attraction between them?
a. 3 Newtons
b. 24 Newtons
c. 48 Newtons
d. 144 Newtons

Answers

Answer:

Explanation:

it is C

The exchange of oxygen and carbon dioxide takes place through the capillary wall.
True
False

Answers

Explanation:

It mainly flows blood to arteries of heart but the answer is true.. because it also exchange oxygen,nutrient etc..

A 100 kg mass, initially at rest, is blown apart into a 60 kg piece and a 40 kg piece. After the blast, the two masses are moving apart with a relative velocity of 60 m/s. The speed of the 60 kg mass is

Answers

Answer:

Explanation:

According to law of conservation of momentum

(m1+m2)v = m1u1+m2u2

Let m1 and m2 be the masses

u1 and u2 be their respective velocities

v is the velocity of combined objects

Given

m1 =60kg

m2 = 40kg

v =0 m/s

u2 -  u1 = 60 ............ 1

0 = 60u1 + 40u2 = 0 .......... 2

From 1: u2 = 60+u1

Substitute into 2:

60u1 + 40(60+u1) = 0

60u1 +2400 +40u1 = 0

100u1 = -2400

u1 = -2400/100

u1 = -24m/s

Hence the speed of the 60 kg mass is 24m/s (in the negative direction)

Find relationship between‘ g’and ,‘G’​

Answers

Answer:

The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G(capital g). The relation between G and g is not proportional.

Explanation:

For a smooth sphere with a 11 cm diameter thrown through air (air density of 1.25 kg/m3, air viscosity 1.83*10-5 Pa-s), what is the speed (in cm/s) when the Reynolds number is 2,511

Answers

Answer:

u = 0.334 m/s

Explanation:

The formula for Reynold's number is given as follows:

Re = ρuL/μ

where,

Re = Reynold's Number = 2511

ρ = Density of air = 1.25 kg/m³

μ = Dynamic Viscosity of Air = 1.83 x 10⁻⁵ Pa.s

L = Characteristic Length = Diameter of Sphere = 11 cm = 0.11 m

u = Speed = ?

Therefore,

2511 = (1.25 kg/m³)(u)(0.11 m)/(1.83 x 10⁻⁵ Pa.s)

u = (2511)/(7513.66 s/m)

u = 0.334 m/s

Which atoms are deflected the most by the magnetic field?

Answers

Answer:

Different ions are deflected by the magnetic field by different amounts. The amount of deflection depends on: the mass of the ion. Lighter ions are deflected more than heavier ones.

Anybody good at science math?

Answers

Answer:

the pressure is: 200 N/m^2

Explanation:

Recall that pressure is defined as force (F) per unit of area (A), which in math terms is:

P = F / A

Then, if the force is 2.4 N , and the area of the glass' bottom is 0.012 m^2, then the pressure is:

P = 2.4 / 0.012 = 200 N/m^2

Answer:PLEASE HELP ME

Explanation:

A 10-kg object is hanging by a very light wire in an elevator that is traveling upward. The tension in the rope is measured to be 75 N. What are the magnitude and direction of the acceleration of the elevator

Answers

Answer:

2.31m/s² downwards

Explanation:

The sum of forces on the object is expressed as;

T-W

T is the tension on the rope

W is the weight

According yo Newton's second law:

T-W= ma

m is the mass

a is the acceleration

Given

T = 75N

W = mg = 10×9.81

W = 98.1N

Substitute

75-98.1 = 10a

-23.1 = 10a

a = -23.1/10

a = -2.31m/s²

The magnitude of the acceleration is 2.31m/s² and directions is downwards

How much time is required for an airplane to reach its takeoff speed of 77m/a if it starts from rest and its average acceleration is 8.2m/s^2?

Answers

Answer:

The time required is t = 9.39 [s]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o} +(a*t)[/tex]

where:

Vf = final velocity = 77 [m/s]

Vo = initial velocity = 0

a = acceleration = 8.2 [m/s²]

t = time [s]

The initial speed is zero, since the airplane begins its movement from rest. The initial speed is zero, since the aircraft begins its movement from rest. Another important fact is that the sign of acceleration is positive since the plane is accelerating, that is, its speed is increasing.

Now replacing:

77 = 0 + (8.2*t)

t = 9.39 [s]

25 POINTS FIRST CORRECT GET BRAINLIEST!!!!!!!!!!!!!!!!1

Answers

Answer:

carbon isnt 12

Explanation:

A hockey puck is sitting stationary on a frozen pond. A player slaps the puck, accelerating it from rest to 45 m/s in 0.03 s. What is the average force on the hockey puck while it is in contact with the stick

Answers

Answer:

F = 240 N

Explanation:

Let the mass of the puck, m = 160 g = 0.16 kg

Initial speed, u = 0 (at rest)

Final speed, v = 5 m/s

Time, t = 0.03 s

We need to find the average force on the hockey puck while it is in contact with the stick. Force is given by the formula as follows :

F = ma, a is acceleration

[tex]F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{0.16\times (45-0)}{0.03}\\\\F=240\ N[/tex]

So, the average force is 240 N.

A hopper jumps straight up to a height of 0.45 m. With what velocity will it return to the table?

Answers

Answer:

3 m/s

Explanation:

We can solve with kinematics or with energy.

Using kinematics, and taking down to be positive, we're given:

Δy = 0.45 m

v₀ = 0 m/s

a = 10 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (10 m/s²) (0.45 m)

v = 3 m/s

Or, we can use energy.

PE = KE

mgh = ½ mv²

v = √(2gh)

v = √(2 × 10 m/s² × 0.45 m)

v = 3 m/s

how much kinetic energy does a 2,000 kg car have when its traveling 5 m/s

Answers

Answer: 5000J

Explanation:

equation for kinetic energy is k=(mv^2)/2

plug in your mass and velocity

k = (2000*5^2)/2 = 5000J

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