suppose the object's angular coordinate θ is changing at a rate of 1/5 rad/sec when the object is 4 meters from the source of the central force. express f ( r ) in terms of m and r (measured in kg and meters, respectively).

The refractive index of water is 1.3

Find the refractive index of water.

Lightspeed in water [tex]V_water}[/tex]= 2.25*10^8 m/s

We know that,

Speed of light in vaccum [tex]V_{vaccum}[/tex]=3*10^8 m/s

µ=[tex]\frac{C}{V_{m} }[/tex]

where,

µ= refractive index

C= speed of light in air/vaccum

[tex]V_{m}[/tex]=speed of light in any medium

µ=[tex]\frac{3*10^8 m/s}{2.25*10^8 m/s}[/tex]

µ=1.3

Hence, the refractive index of water is 1.3

Learn more about problems on refractive index.

https://brainly.com/question/15367857

In order to accommodate the increased wave speed, guitars have linear strings with variable linear mass densities, a linear density string and a higher density string under the same tension.

There is a formula for speed velocity. is determined by multiplying the mass of the strength by the square of the attention attention force. As a result, this demonstrates that the investment's velocity accelerated toward the square of the linear identity.

What then is becoming increasingly identity? No. They never fell short to cut. In order to answer the issue, the lesser density string will have a higher velocity if it is under the same strain as the advertising industry.

Lower your pace for the higher density strength and the wave speed.

To know more about density click on the link:

https://brainly.com/question/15164682

#SPJ4

The tension force applied to the rope when a rock-climber is being pulled up with an increase in speed of 0 to 2.9 m/s in 5.9 s is 30.97 N.

Tension force is defined as the force transmitted through a rope, string or wire when pulled by forces acting from opposite sides.

To calculate the tension force she applied to the rope, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the tension force applied to the rope is 30.97 N.

Learn more about tension force here: https://brainly.com/question/24994188

#SPJ1

The current in the primary winding is 4.4 A.

What is primary winding?

A primary winding is the winding of a transformer  that is connected to and recive energy from an external source of electron.

The primary winding is the coil that draws power from the source.

Sol- As per the given question -

Current Is=0.22A

Primary winding Vp=120v

Voltage of winding Vs=2400v

Current of primary winding Ip?

Np/Ns=Vp/Vs=Is/Ip

Vp/Vs= Is/Ip

120/2400 =0.22/Ip

Ip= 20×0.22

Ip= 2.2×2

Ip=4.4 A

To know more about primary winding click

https://brainly.com/question/25886292

#SPJ9

The final speed of the crate after being pulled these 21.0 m is 12.34  m/sec.

Speed is defined as the SI unit of speed is m/s and is calculated as the product of distance to time.

Mass = 50 kg

Horizontal force = 225 N

Coefficient of friction = 0.20

ΔK1 = F x D1

ΔK1 = 225 x 11

ΔK1 = 2475 J

ΔK2 = F X D2 - umgD2

ΔK2 = 225 x 10 - 0.20 x 50 x 9.8 x 10

ΔK2 = 2250 - 980

ΔK2 = 1270 J

Therefore ,

ΔK = ΔK1 + ΔK2

ΔK = 2475 + 1270

ΔK = 3745 J

As per kinetic equation

KE = 1/2 mv²

3745 = 1/2 x 50 x v²

v² = 149.8

v = 12.34 m/sec

Thus, the final speed of the crate after being pulled these 21.0 m is 12.34  m/sec.

To learn more about speed, refer to the link below:

https://brainly.com/question/28224010

#SPJ1

The intensity of an electromagnetic wave is related to the amplitude squared.

Electromagnetic wave:

Electromagnetic radiation consists of waves of the electromagnetic field, which propagate through space and carry electromagnetic radiant energy.

The intensity of electromagnetic waves:

The intensity of an electromagnetic wave is defined as the energy crossing per second per unit area held perpendicular to the direction of propagation of electromagnetic waves.

The formula for the intensity of electromagnetic waves:

I = η ε Ε² / 2

E = amplitude

Therefore we get that the intensity of an electromagnetic wave is related to the amplitude squared.

To know more about the intensity of electromagnetic waves refer to the link given below:

https://brainly.com/question/24319848

#SPJ4

Answer:bus

Explanation:

The independent variables of measuring physical properties are given below -

What is physical properties?

A physical properties in any property that is measurable, whose value describe a state of physical system.

The changes in the physical properties of a system can be used to describe its changes between the  momentary that state of

physical properties are often referred to as observables.

They are not modal properties.

Any variable that can be attributed a value without attributes a value to any to any other variables is called independent variables.

It is a variable that stands alone and isn't changed by other variables you are trying to measure.

To know more about physical properties click-

https://brainly.com/question/19921381

#SPJ9

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

The capacitance of each capacitor is 2.1 ×[tex]10^{-5}[/tex]F.

Let

Equivalent capacitance of the circuit = [tex]C_{eq}[/tex]

   [tex]C_{eq}[/tex] =Q/V

where Q is the charge and V is the potential difference.

Q = [tex]3.5[/tex]×[tex]10^{-4[/tex]

V = 5.55 V

Putting the values

   [tex]C_{eq}[/tex] =    [tex]3.5[/tex]×[tex]10^{-4[/tex]/5.5V

                   [tex]C_{eq}[/tex] = [tex]6.4[/tex]×[tex]10^{-5}[/tex]F

The circuit consists of 3 capacitors in parallel, each one having the same capacitance C.

To find C:

C = [tex]C_{eq}[/tex]/3

C = 2.1 ×[tex]10^{-5}[/tex]F

The capacitance of each capacitor is 2.1 ×[tex]10^{-5}[/tex]F.

If you need to learn more about capacitance, click here

https://brainly.com/question/13110581?referrer=searchResults

#SPJ4

The full Question is :

Three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 5.55-v battery, which charges the capacitors. the charging process involves 3.45 Ã 10-4 c of charge moving through the battery. find the capacitance of each capacitor.

For the projectile motion of the stone a) The time taken T = 9.04s b) the angle of the projectile = 62.31° c) the Range attained R = 209.923m

A stone propelled from a catapult is an example of projectile motion.

Given, the initial velocity of the stone u = 50 m/s; This initial velocity with which the stone is thrown has two components 1) vertical [tex]u_{y}[/tex] = u sinθ along the Y axis and 2) horizontal [tex]u_{x}[/tex]=u cosθ along the X axis

where θ is the angle of projection

maximum vertical displacement or height attained by stone = H

(Use sign convention +ve for upwards and -ve for downwards)

a) equation for the maximum vertical height reached by a body during projectile motion   [tex]H=\frac{u^{2} sin^{2}\theta }{2g}[/tex]      (1)

equation for the time of flight of projectile motion [tex]T=\frac{2usin\theta}{g}[/tex]           (2)

Given H = displacement in the y direction = height attained = 100m

u =  initial velocity = 50m/s ; acceleration due to gravity g =9.8 m/[tex]s^{2}[/tex]

using equation (1)

[tex]100=\frac{50^{2}sin^{2}\theta }{2*9.8}[/tex]

⇒[tex]sin^{2} \theta= \frac{100*2*9.8}{50^{2} }[/tex]

⇒sinθ[tex]=\sqrt{\frac{10*2*9.8}{50^{2} } }[/tex]

⇒sinθ = 0.885437

⇒θ = [tex]sin^{-1} (0.885437)[/tex]

⇒θ = 62.31°

Hence  from equation (2) time of flight

[tex]T=\frac{2*50*sin\theta}{9.8}[/tex]

⇒[tex]T=\frac{2*50*0.885437}{9.8}[/tex]

⇒T = 9.04 s

Time is taken T =9.04s

b) Angle of projectile θ = 62.31°

c) The range attained [tex]R=\frac{u^{2}sin2\theta }{g}[/tex]

⇒[tex]R = \frac{50^{2}sin(2*62.31)}{9.8}[/tex]

⇒R = [tex]\frac{50^{2}*0.8229}{9.8}[/tex]

⇒R= 209.923m

horizontal range attained R= 209.923m

Components of a projectile motion:

https://brainly.com/question/12860905

#SPJ4

The magnitude of the acceleration of the ball is 10 m/s².

The acceleration of an object is the change in the velocity of the object with time.

The acceleration of the object is calculated using the following kinematic equation as shown below,

h = vt + ¹/₂at²

where;

Substitute the given parameters and solve for the acceleration of the ball.

125 = 0 +  ¹/₂a(5)²

2(125) = 25a

250 = 25a

a = 250/25

a = 10 m/s²

Learn more about acceleration here: https://brainly.com/question/14344386

#SPJ1

The velocity–time graph of the Lunar Landing Powered Descent that has a domain of 10 ≤ t ≤ 25, and a range of -2 ≤ v ≤ -40, between the 24th and the 25th seconds gives;

C) The Lander's velocity decreases away from the reference

A velocity time graph is a graph that shows the variation of the velocity of an object with time.

The information with regards to the lunar landing powered descent graph are;

Coordinate points on the graph;

(10, -2); At time t = 10 seconds, the average velocity, v = 0

(10.5, -40); The velocity relative to the starting point changed and decreased from 0 m/s to -40 m/s

(15, -5); The velocity increased from -40 m/s to -5 m/s

(22, -3); The velocity increases from -5 m/s to -3 m/s

(24, -2); The velocity increases from -3 m/s to -2 m/s

(25, -15); The velocity decreases from -2 m/s to -15 m/s

Therefore, taking the reference point as the point where the velocity is zero, 0, we have that between approximately 24 seconds and 25 seconds, the Lander's velocity decreases away from the reference.

Learn more about the velocity time graph here:

https://brainly.com/question/26209293

#SPJ1

Answer:

Since there is only one path for electron flow in a series circuit, the current is the same magnitude at any point in the circuit

Explanation:

The answer is A. Series Circuit

Answer:

You weight would be doubled because gravitational force is doubled

2. Challenges:

a. Everyone’s body would have to adjust to the new weight and learn to walk again

b. Earth would be closer to the sun, so everything would be hotter on Earth

c. Flying airplanes and driving cars might no longer work at all (talk about how difficult this would make traveling)

3. Benefits:

a. Time would go by much slower so technically everyone would live longer

b. Balloons wouldn’t fly off anymore

4. You have to decide for yourself if you’d like it better or worse

Explanation:

Recall, Newton's gravitational law states that any particle of matter in the universe attracts any other particle with a force varying directly as the product of their masses and inversely as the square of the distance between them. It is expressed as

F = Gm1m2/r^2

where

F is the force in Newton

G is gravitational constant = 6.673 x 10^-11 Nm^2/kg^2

m1 and m2 are the masses in kg

r is the distance in meters

From the information given,

r = 1.5

acceleration = 2cm^2/s

Recall, 100 cm = 1m

2 cm = 2/100 = 0.02m

Thus,

acceleration = 0.02m/s^2

Since the masses are identical, then m1 = m2

Each of them is accelerating at 0.02m/s^2

Recall,

Force = mass x acceleration

Force = m1 x 0.02 = 0.02m1 N

By substituting the given values into the formula, we have

0.02m1 = (6.673 x 10^-11 x m1 x m1)/1.5^2

m1 on the left cancels out one m1 on the right. It becomes

0.02 = (6.673 x 10^-11 x m1)/1.5^2

By crossmultiplying,

0.02 x 1.5^2 = 6.673 x 10^-11 x m1

0.045 = 6.673 x 10^-11 x m1

m1 = 0.045/6.673 x 10^-11

m1 = 6.74 x 10^8 kg

The mass of each ball is 6.74 x 10^8 kg

The rate at which an object's velocity changes in relation to time is known as acceleration. The vector quantity of accelerations. The acceleration of an object depends on the direction of the net force acting on it.

V up = 11 m/s ; V dwn = 7.3 m/s ; t = 9.3

using, V = u + at [ u = V up]

a = (v - u)/t

a = (-7.3 - 11) / 9.3

  = -2.0 m/s²

Acceleration (a) is defined as the product of the change in velocity (v) and the change in time (t) in the equation a = v/t (t). You can use this to get the change in velocity in m/s2 (meters per second squared).

Acceleration is the rate at which speed changes, whereas speed is the distance traveled in a unit of time. The metric system uses meters per second (m/s) as the unit of speed and meters per second squared (m/s2) as the measure of acceleration. Acceleration is a vector quantity, whereas speed is a scalar quantity.

To know more about acceleration downslope, click on the link below:

https://brainly.com/question/460763

#SPJ9

Hydrogen and helium are formed due to big bang event whereas heavy elements are formed inside very hot environment.

The lightest elements i.e. hydrogen, helium, lithium etc were produced in the Big Bang event. According to the Big Bang theory, the temperatures in the early stage of universe were so high that leads to fusion reactions.

Light elements such as hydrogen and helium are formed during the big bang event while on the other hand, the iron molecules are made due to the fusion in the cores of stars. Many heavier elements like gallium and bromine need supernova condition for their formation.

So w can conclude that big bang event is responsible for the formation of  Hydrogen and helium whereas heavy elements are formed inside the supernova.

Learn more about universe here: https://brainly.com/question/805395

#SPJ1

The variation of the components of the force with the angle of inclination of the direction of the applied force, as shown in the graph indicates that the Fₓ has a maximum, while [tex]F_y[/tex] has a minimum value given by Fₓ = 50 N × cos(0°) = 50 N, and [tex]F_y[/tex] = 50 N × sin(0°) at θ = 0°, while at 45°, Fₓ = [tex]F_y[/tex], with [tex]F_y[/tex] having a maximum value of 50 N, and Fₓ = 0 at 90°.

The component of a force are the mutually perpendicular forces to which a force acting at an angle, relative the coordinate axis can be resolved into.

The component of the force applied by the man to the force required to move the box in the horizontal direction, Fₓ, increases as the angle approaches zero, and decreases as the angle approaches, 90°, given that the horizontal component of the force is found from the equation, [tex]F_x = F \times cos(\theta)[/tex], where, [tex]\theta[/tex] is the angle the line of action of the force makes with the horizontal, and F, is the force the man applies' such that we have at θ = 0°, Fₓ = 50 N × cos(0°) = 50 N

When the angle is θ = 45°, Fₓ = 50 N × cos(45°) = 25·√2 N

When the angle θ = 90°, Fₓ = 50 N × cos(90°) = 0

The vertical component of the force applied [tex]F_y[/tex], however, increases as the angle made by the line of force with the horizontal, increases to 90°, as shown in the graph, and decreases to 0 as the inclination angle of the force decreases, such that the have:

When the angle made with the horizontal, θ = 0°, [tex]F_y[/tex] = 50 N × sin(0°) = 0

When the angle made with the horizontal, θ = 45°, [tex]F_y[/tex] = 50 N × sin(45°) = 25·√2 N

At θ = 90°, [tex]F_y[/tex] = 50 N × sin(90°) = 50 N

The graph of both components starts at 50 N and 0 N when θ = 0°, and both intersect when θ = 45°, while the values of the horizontal and vertical component changes, such that at 90°, the vertical force component is the largest.

Please see the attached graph.

Learn more about the components of a force here:

https://brainly.com/question/3370950

#SPJ1

ANSWER:

90.9%

STEP-BY-STEP EXPLANATION:

Given:

Input force = 11 N

Distance 1 = 0.4 m

Weight = 40 N

Distance 2 = 0.1 m

We calculate the work in each case to then calculate the efficiency of the machine, just like this:

The efficiency of the machine is 90.9%

The most likely true about the person in front of you is any of the above could be true and is denoted as option D.

This is referred to as the matter or substance which is obtained so as to aid investigation processes and examples include hair, blood etc. It is useful as it helps to solve a crime and ensures that the culprit is punished.

Taking hair samples from pre-emptively could be because of any of the reasons listed such as being a suspect or a witness to a crime thereby making option D as the correct choice.

Read more about Sample here https://brainly.com/question/28008941

#SPJ1

The options are:

The greatest stress that a material can withstand before failing is referred to as its strength. Its stiffness describes how much it will flex or bend when pulled. High strength is frequently found in materials with high stiffness. The greatest stress that a material can withstand before failing is referred to as its strength.

To know more about stress

https://brainly.com/question/5304897

#SPJ1

Answer:

Amber use 25m for looking

Answer:

25 min's, that's what Amber used

Professor Hawking .

Professor Stephen  Hawking said that "however difficult life may seem, there is always something you can do and succeed at".

To learn more about Stephen Hawking refer to :

https://brainly.com/question/17272329

#SPJ4

Answer:

2.0m

Explanation:

acceleration a = F/M therefore acceleration the soccer ball from rest in the process is 40 m/s².

Given

mass of soccer ball, M = 0.57 kg

Force F = 22.8 n

acceleration a = F/M

a = 22.8 n/ 0.57 kg

a = 40m/s²

We refer to any process where the velocity changes as acceleration. You can only accelerate by changing your speed, direction, or both as velocity is a function of both speed and direction. When two things are moved against one another, instant friction results. The motion will be opposed by the friction, who will also be working against it. When an item is in motion and its velocity changes, the concept of acceleration takes place. Friction, which opposes motion, always lowers acceleration. An object and a surface come into contact and cause friction. The features of the surface and the item as well as whether or not the object is moving determine its magnitude.

Learn more about acceleration here:

https://brainly.com/question/2303856

#SPJ4

The net work done will be zero on moving the ball to the right.

The net work done is equal to the change in kinetic energy. The initial velocity is - 30 m/s and the final velocity is + 30 m/s. Also, the formula for kinetic energy is: K.E. = 1/2m([tex] { v_{f} }^{2} [/tex]

- [tex] { v_{i} }^{2} [/tex]

Keep the values in formula to find the kinetic energy

K.E. = 1/2×20×(30² - (-30)²)

Taking square on Right Hand Side of the equation

K.E. = 10×(900 - 900)

Performing subtraction on Right Hand Side of the equation

K.E. = 0

Thus, the net work done will be zero. The work done on stopping the particle and then moving it to different direction will be equal. Thus, we get the value zero.

Learn more about kinetic energy -

https://brainly.com/question/25959744

#SPJ4

In the given question, a car coasts into a hill at 16.0 m/s and it slows down with a uniform acceleration of -1.0 m/S/S.

to find,

the displacement after 5.0s,    s=60m

the displacement after 10.0s,   s=80m

according to the equation of motion,

s=ut+1/2at^2

a) t=5second, u=16m/s

s=ut+1/2at^2

s= 16*5 + 1/2 (-1.6) 5^2

s=80-20

s=60m

b)t= 10second , u=16m/s

s=ut+1/2at^2

displacement s=16*10 + 1/2 (-1.6)*10^2

displacement s=80m

To learn more about numerical from equation of motion, visit

https://brainly.com/question/1856918

#SPJ9

La situación planteada se muestra a continuación:

(El diagrama mostrado es para la caja inferior). A continuación mostramos el diagrama para la caja superior:

Si consideramos el sistema de dos cajas como uno solo tenemos el siguiente sistemas de ecuaciones:

De donde:

Ahora debemos determinar si la caja de arriba no se resbala al aplicar esta fuerza, para esto debemos recordar que la fricción es máxima con el coeficiente de fricción estático.

Entonces tenemos que la fricción es máxima para el bloque de arriba cuando:

Dado que la fuerza que debemos aplicar no es mayor a la fricción máxima concluimos que ambas cajas bajaran al mismo tiempo. Por lo tanto la fuerza que debemos aplicar es de 188.5 N.

When two vectors have the same direction, they can be added and the direction of the resultant is the same as the direction of the vectors. Additionally, the magnitude of the resultant is simply the sum of the corresponding magnitudes of the vectors.

Therefore, the answer is:

1) The resultant is the sum of the two displacements having the same direction as the original vectors.

Answer:

The one that has higher mass