Kinematics - A airplane starts from rest and must reach 20 m/s to take off. If the plane can accelerate at 1.2 m/s^2, find the minimum length of the runway. Pick the closest answer. A) 320 m B) 240 m C) 167 m D) 8.3 m

Answers

Answer 1

The minimum length of the runway is closer to 167 m. Hence, option (C) is correct.

What is acceleration?

Acceleration is the rate at which a velocity changes over time. It qualifies as a vector quantity because it possesses both direction and magnitude. Meter/second^2 (m/s^2) is the SI unit of acceleration.

Given that acceleration of the plane: a = 1.2 m/s^2.

Final speed of the plane from rest: v = 20 m/s.

Hence, required minimum length of the runway = v²/2a

= 20²/(2×1.2) m

= 166.67 meter.

Learn more about acceleration here:

brainly.com/question/12550364

#SPJ1


Related Questions

a soccer ball is kicked 19 meters into a soccer goal. the ball has a mass of 12kg is kicked with an acceleration or 3.9m/s2. what is the work done on the ball?​

Answers

Answer:

889.2 J

Explanation:

F = ma = (12 kg)(3.9 m/s²) = 46.8 N

W = Fd = (46.8 N)(19 m) = 889.2 J

Which phrase best defines momentum?
A. the change in velocity of an object over time
B. the amount of matter in an object
C. the distance traveled by and object over time
D. the motion of an object

Answers

Answer: the motion of an object

Explanation:

I just took the test

Answer:the motion of an object

Explanation:

I finished the sample work

A bat flying in a cave emits a sound and receives its echo 0.1 s later. How far away is the cave wall? Assume the speed of sound to be 340 m/s. Answer in units of m.

Answers

As a result, the wall is 17 m away when a bat flying through a cave makes a sound and then hears its echo 0.1 seconds later.

How far is the wall of the cave?Explanation of SolutionGiven: Speed of sound wave (s) = 340msTime taken by sound wave (echo) to travel to the wall and reflect back to bat=0.1sSo, Time taken by sound wave to travel to the wall (t) only== 0.05Formula used:

Distance of the wall from the bat (d) = speed of sound wave (s) x time (1)

Calculation:

Putting the values and we get;

Distance of the wall from the bat (d)=340 ms x 0.05 s = 17 m

Conclusion:

Thus, the distance of the wall is 17 m when a bat flying in a cave emits a sound and receives its echo 0.1 s later.

To learn more about the wall of the cave refer to:

https://brainly.com/question/13178172

#SPJ1

a piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas is

Answers

A piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas becomes doubled.

When the piston is pushed down in a cylinder filled with gas What happens to the volume of the gas inside?

When the pressure on the piston is doubled, it moves down until the pressure exerted by the gas equals the pressure exerted by the piston. At this point, the volume of the gas is halved. If the pressure on the piston is again doubled, the volume of gas decreases to one-fourth of its original volume.

What happens to the pressure in a sealed container if the amount of gas in the container increases?

Pressure increases.

Why does the pressure inside a container of gas increase if more gas is added to the container?

The pressure inside a container of gas increases when more gas is added to the container because the volume of the container doesn't change, and the added gas adds more molecules to push against the sides of the container. It is the movement of the gas molecules pushing against the container that causes pressure.

Thus, pressure is doubled.

To know more about Boyles law:

https://brainly.com/question/1696010

#SPJ1

The depth of snow after n hours of a snowstorm is

Answers

The depth of snow was 0.8 inches when the storm began and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.

A polynomial function exists as a function that examines only non-negative integer powers or only positive integer exponents of a variable in a formula like the quadratic equation, cubic equation, etc.

Given, depth of the snow after n hours of a snowstorm exists represented by the function f(n+1) = f(n) + 0.8 where, f(0) = 2.5

To find, which statement explains the sequence of numbers rendered by the function.

Given function f(n + 1) = f(n) + 0.8 where f(0) = 2.5

Hence, the depth of snow was 0.8 inches when the storm began and 2.5 inches after the first hour of the storm describes the sequence of numbers generated by the function.

To know more about polynomial function:

https://brainly.com/question/1451503

#SPJ4

a system of volume v and temperature t consists of n independent, distinguishable particles, each of which can be in one of two states, with energy equal to 0 or e respectively. determine the partition function of the system

Answers

The partition function of a system of particles is a statistical measure that describes the distribution of particles over different energy states.

It is defined as:

Z = Σexp(-E_i/kT)

where Z is the partition function, E_i is the energy of the i-th particle, k is the Boltzmann constant, and T is the temperature of the system. The sum is taken over all possible energy states of the particles.

In the case of a system of volume v and temperature t consisting of n independent, distinguishable particles, each of which can be in one of two states with energy equal to 0 or e, the partition function can be expressed as:

Z = exp(-0/kT) + exp(-e/kT)

This is because there are two possible energy states for each particle (0 or e), and the partition function is a sum over all possible energy states of the particles.

Substituting the values of k, T, and e into the partition function equation, we can compute the value of Z:

Z = exp(-0/kT) + exp(-e/kT)

= exp(0) + exp(-e/kT)

= 1 + exp(-e/kT)

Thus, the partition function of the system is given by the equation:

Z = 1 + exp(-e/kT)

To know more about  energy visit : brainly.com/question/1932868

#SPJ4

Part A

An ideal gas expands at a constant total pressure of 3.1 atm from 450 mL to 810 mL . Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value.

Calculate the total work done by the gas in the process.
Express your answer to two significant figures and include the appropriate units.


Part B

Calculate the total heat flow into the gas.
Express your answer to two significant figures and include the appropriate units.

Answers

The work that is done by the gas can be obtained as 110 J.

There is not enough information in the question to determine part B.

What is the work done?

We know that a gas is said to do work whenever the gas expands. The expansion of a gas mans that the gas is able to increase its volume and we can see from the question that the volume of the gas was quite able to move from a value of  450 mL to 810 mL .

How then can be be able to obtain the work that has been done by the gas in this case? We are aware that we do have the following parameters from the question;

Pressure of the gas = 3.1 atm

Initial volume of the gas = 450 mL or 0.45 L

Final volume of the gas = 810 mL or 0.81 L

The we have the formula;

W =PΔV

W = work done

P = pressure of the gas

ΔV = change in the volume of the gas

Thus;

W = 3.1 (0.81 - 0.45)

W = 1.12 atm L or 110 J

Learn more about work done:https://brainly.com/question/2750803

#SPJ1

An unhappy 0.300-kg rodent, moving on the end of a spring with force constant k = 2.50 N/m, is acted on by a damping force F = -bv. (A) If the constant b has the value 0.900 kg/s, what is the frequency of oscillation of the rodent? (B) For what value of the constant b will the motion be critically damped?

Answers

If the rodent oscillates at a frequency of 0.950 kg/s, the motion will be critically dampened at a value of 1.732 kg/s for constant b. to highlight how different from angular frequency ordinary frequency is.

The frequency of an event is its repetitions per unit of time. When contrasting it with spatial frequency, it is also sometimes referred to as temporal frequency.

given damping force: mass = 0.3 kg, k = 2.5 N/m Fx=-bvx+b = 0.950 kg/s

This oscillator is underdamped since the equation of motion for it is mx" + bx' + kx = 0, which results in b2 - 4mk = 0. W = square root(k/m - b2/4m2) yields the angular frequency of oscillation.

For critically damped motion, b2 = 4mk b = 1.732 kg/s, where w = 2.41379 rad/s.

Learn more about frequency here

https://brainly.com/question/13104367

#SPJ4

in this position, the days in the nourthern hemisphere are

Answers

Solstices happen when the axis of the Earth is towards our Sun.

what is nourthern hemisphere ?

The portion of the planet north of the equator is known as the northern hemisphere. Other planets in the Solar System are considered to be in the same celestial hemisphere as Earth's North Pole when seen in relation to the solar system's invariable plane.

The Northern Hemisphere experiences winter from the December solstice (usually December 21 UTC) to the March equinox (generally March 20 UTC), and summer from the June solstice through to the September equinox due to the Earth's axial tilt of 23.439281°. (typically on 23 September UTC). The distinction between the astronomical year and the calendar year causes the dates to change every year. Oceanic currents in the Northern Hemisphere can alter weather patterns that have a significant impact on many northern variables.

Solstices happen when the axis of the Earth is towards our Sun. This occurs twice a year when the Earth is in orbit. The summer solstice, the longest day of the northern hemisphere year, occurs around June 21 when the north pole is angled 23.5 degrees toward our Sun.

To learn more about Northern Hemisphere follow the given link: https://brainly.com/question/11634090

#SPJ1

a 3.8 kgkg block of wood sits on a frictionless table. a 3.0 gg bullet, fired horizontally at a speed of 520 m/sm/s , goes completely through the block, emerging at a speed of 190 m/sm/s .
what is the speed immediately after it exits the block

Answers

The speed of the bullet immediately after it exits the block is 190 m/s.

What is speed?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or even the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as that of the duration of the time interval gets closer to zero. The average speed of an object in a period of time is indeed the distance travelled by object divided by duration of the interval. Velocity and speed are not the same thing. The dimensions of speed are time divided by distance.

The speed immediately after the bullet exits the block is 190 m/s. This can be determined using the conservation of momentum principle, which states that the total momentum of an isolated system remains constant. In this case, the system is the bullet and the block of wood.
Before the bullet enters the block, the momentum of the system is equal to the momentum of the bullet, which is given by:
p_i = m_b * v_b = (3.0 g) * (520 m/s) = 1560 g m/s
After the bullet exits the block, the momentum of the system is equal to the momentum of the bullet and the block, which is given by:
p_f = m_b * v_b + m_w * v_w = (3.0 g) * (190 m/s) + (3.8 kg) * (0 m/s) = 570 g m/s
By conservation of momentum, we can set the initial and final momentum equal to each other and solve for the velocity of the bullet after it exits the block:
p_i = p_f
1560 g m/s = 570 g m/s + (3.8 kg) * v_w
v_w = 190 m/s
Therefore, the speed of the bullet immediately after exiting the block is 190 m/s.

To learn more about speed
https://brainly.com/question/13943409
#SPJ4

part b in another experiment, the intensity of the incident light and the temperature of the metal are held constant. assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased? check all that apply. view available hint(s)for part b in another experiment, the intensity of the incident light and the temperature of the metal are held constant. assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased?check all that apply. the work function of the metal increases. the number of electrons emitted from the metal per second increases. the maximum speed of the emitted electrons increases. the stopping potential increases.'\

Answers

Because whilst depth of incident mild will increase, it approach that wide variety of photons will increase in incident mild.

If wide variety of incident photons will increase, then wide variety of emitted picture graph electrons additionally will increase, therefore the picture graph electric powered contemporary will increase.

The photoelectric impact. In the photoelectric impact, mild waves (pink wavy lines) hitting a steel floor motive electrons to be ejected from the steel.

Current in picture graph electric powered impact is immediately proportional to the depth of the incident mild. paintings function, preventing potential, most kinetic electricity are unbiased of depth of incident mild, they rely upon the frequency, wavelength of the incident mild and cloth of the steel.

Using L for luminosity, the depth of mild system becomes I=LA I = L A . Because mild waves unfold in all directions, to correctly calculate mild depth, the denominator withinside the system have to be the floor vicinity of a sphere. In fact, maximum electromagnetic calculations are achieved over a sphere.

Learn more about intensity of light here https://brainly.com/question/19791748

#SPJ4

A basketball player shoots a basketball at 5.98 m/s at a 56.7° angle. If the goal
is 7.24 m away, how much time does the ball take to reach the horizontal position of the goal?
(Unit = s)

Thank you for the help!

Answers

A basketball player shoots a basketball at 5.98 m/s at a 56.7° angle. If the goal is 7.24 m away, 2.205 sec time does the ball take to reach the horizontal position of the goal.

What is velocity?

The same as for speed, "m/s" is the SI unit for velocity. While velocity is the rate at which a body's displacement changes, speed is the rate at which a body's distance travelled changes. While velocity is a vector quantity and requires both magnitude and direction to be described, speed is a directionless quantity.

As an example, consider the speed of a car driving north on a highway or the speed of a rocket after launch.

Given that,

initial speed (u) = 5.98 m/s

angle (θ) = 56.7°

distance (R) = 7.24 m

Now, considering motion along horizontally,

R = (u cosθ) × t

or, 7.24 = 5.98 (cos 56.7°) × t

or, t = 2.205 sec

To know more about horizontal position refer to:

https://brainly.com/question/14471244

#SPJ1

Answer:

2.21

Explanation:

Ibrahim fires a gun in front of a building 167m away. If the speed of the sound is 334m/s calculate time in which he hears an echo

Answers

To hear an echo, the sound needs to travel to the building and travel back to Ibrahim.Thus, the distance is 2*167m= 334m.

by using the formula: Speed * Time Taken = Distance Travelled334m/s * Time Taken= 334m Time Taken= 334m/(334m/s) Time Taken= 1s

ANSWER: 1 SECOND

A 2.0 kg block sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the block has a speed of 4.0 m/s as it passes through the equilibrium position,

Answers

The speed of the block when it is 10 cm from the equilibrium position is 3.87 m/s.

We need to apply the concept of conservation of energy. The conservation of the initial kinetic energy, the final kinetic energy, and the elastic potential energy must be applied in this situation. Mathematically this can be expressed as,

KE i = KE f + PE f

1/2* m* vi² = 1/2* m* vf² + 1/2* k * x²

where,

m is mass

vi is initial velocity

vf is final velocity

k is spring constant

x is displacement

Given that, m = 2 kg

k = 200 N/m

x = 10 cm = 0.1 m

vi = 4 m/s

Placing them in the above equation, we have

1/2* 2* 4² = 1/2* 2* vf² + 1/2* 200* 0.1²

16 - 1 = vf²

vf² = 15

vf = 3.87 m/s

Thus, the speed of the block when it is 10 cm from the equilibrium position is 3.87 m/s.

The question is incomplete. the complete question is 'what is its speed when it is a distance of 10 cm from the equilibrium position?'

To know more about speed:

https://brainly.com/question/14147850

#SPJ4

Q1) Give reasons for the following:-


a. a leaf appears green;
____________________________
b. milk appears white;
____________________________
c. the words on a page appear black;
____________________________

Answers

Answer:

Explanation:

A leaf appears green becuase of photosyithesis

Milk appears white because all the corols are being aborseb

words on the page are black because all colors are being refcted.

A rabid 3kg racoon accelerates uniformly from rest to a speed of 14m/s in 0.45 seconds. Find the
average acceleration of the racoon.

Answers

Answer: 31.1 m/s²

Explanation:

avg. accel. = (Vfinal - Vinitial) / Δt

Vfinal = 14 m/s

Vinitial = 0 m/s

Δt = 0.45 s

avg. accel. = (14 m/s - 0 m/s)/0.45 s = 31.1 m/s²

Scientists have been able to develop a nuclear fusion plant to generate energy.

True or False

Answers

Answer: true

Explanation:

Determine minimum face width for a spur gear pair based on static yield tooth bending failure. Assume tip loading. The input pinion is driven by a 2 HP electric motor at 1800 rpm with moderate shock loads on the output. Nes = 2 Pa = 18 0 = 20° Np = 19 Ng = 57 Qv = 7 1045 cold-rolled steel (F = 0.640 inch) 3) Repeat problem 2) for fatigue with 99% reliability over 107 mesh contacts using hardness HB from Table A-9 and Grade 2 unmodified fatigue strength from Figure 12-25. (F = 1.423 inch)

Answers

The binding stress of the spear gear in the table is 502.22 Pa.

The diameter of the pinion is equal to:

d(p) = Nm(p)

Where

m = module = 5

Np = number of teeth of pinion = 26

d(p) = 5* 26 = 130 = 0.13 m

The pitch line velocity is equal to:

v(t) = d(p)*2pi*w(p)/120

Where

wp = speed of the pinion = 1800 rpm

v(t) = 12.25 /s

The factor B is equal to: 0.396

The factor A is equal to:

A = 50 + 56*(1 - B) = 50 + 56*(1-0.396) = 83.82

The dynamic factor is:

K(v) = A/A+√200v(t) B

K(v)= 0.832

The geometry bending factor at 20°, the application factor Ka, load distribution factor Km, the size factor Ks, the rim thickness factor Kb and Ki the idler factor can be obtained from tables

JR = 0.41

Ka = 1

Kb = 1

Ks = 1

Ki = 1.42

Km = 1.7

The diametrical pitch is equal to:

p(d) = 1/m = 1/5 = 0.2

The bending stress is equal to:

σ = w(t)p(d)k(a)k(m)k(g)k(b)k(i)/FJ(g)K(v)

σ = 502.22 Pa

Therefore, the binding stress of the spear gear in the table is 502.22 Pa.

To know more about stress, refer: https://brainly.com/question/15460211

#SPJ4

what is the only force that can act on an object in free fall? gravity friction air resistance speed; increasing which factor will cause the gravitational force between two objects to decrease?; what determines the strength of the gravitational force of an object in space; what are the units of mass and weight; which factors affect the gravitational force between two objects select all that apply; if siobhan hits a 0.25 kg volleyball with 0.5 n of force, what is the acceleration of the ball? m/s2; what is the weight, on earth, of a book with a mass of 1.5 kg? 1.5 n 6.5 n 11.3 n 14.7 n

Answers

In Newtonian physics, free fall refers to any motion of a body in which gravity is the only force acting on it.

What are the forces at work on a falling object?

In addition, gravity is pulling something down as it falls. The force of gravity is an unbalanced force at the beginning of the fall. As a result, the object accelerates or picks up speed. It runs into aerodynamic drag or air resistance as it accelerates.

What is the force responsible for an object falling to the ground?

All objects on Earth experience weight, or a gravitational pull that is proportional to their mass and is imposed by the planet's mass. Gravity is measured by the acceleration that it gives to freely falling objects. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second.

To know more about free fall gravity visit;

https://brainly.com/question/13299152

#SPJ4

A long straight wire carrying current I is moving with speed v toward a small circular coil of radius r containing N turns, which is attached to a voltmeter as shown. The long wire is in the plane of the coil. (Only a small portion of the wire is shown in the diagram.) The radius of the coil is 0.02 m, and the coil has 11 turns. At a particular instant I = 3 amperes, v = 3.3 meters per second, and the distance from the wire to the center of the coil x = 0.17 m. (a) What is the magnitude of the rate of change of the magnetic field inside the coil? You will need to calculate this algebraically before you can get a number. Write an expression for the magnetic field due to the wire at the location of the coil. Use the approximate formula, since the wire is very long. Remember the chain rule, and remember that v = dx/dt. dB/dt = T/S (b) What is the magnitude of the voltmeter reading? Remember that this includes all 11 turns of the coil. volts

Answers

The magnitude of the rate of change of the magnetic field inside the coil  9.57*10^-5 T /s,  voltmeter reading is  1.386*10^-6 V

Given that radius of the coil is  r = 0.02m

Number of turns in the coil is  N  = 11

current in the coil is  I  = 3.0A

velocity  is  v  = 3.3 m/s

distance from the wire to the center of the coil is  x  = 0.17m

db. / dt.  = B. v / x

       B  = 2(μ_0 N i / )3πx

           = 2 * 4π*10^-7 * 11 * 3.0A / 4π*0.17m

           = 5.12*10^-6 T

     dB / dt  = 5.12*10^-6 * 3.3m/s / 0.17 m

                  = 9.57*10^-5 T /s

b ) voltmeter reading is  V  = n A dB / dt

                                         = 11*π ( 0.02)^2 * 9.57*10^-5 T/s

                                        = 1.386*10^-6 V

An electro magnetic field, often known as an EM field or EMF, is a non-quantum (classical) field created by accelerating electric charges. [1] The classical equivalent of the quantum electrodynamics' quantized electromagnetic field tensor, it is the field that classical electrodynamics describes. Charges and currents are affected by the electromagnetic field, which interacts with them and moves at the speed of light (in fact, this field can be compared to light). One of the four basic forces of nature is its quantum counterpart (the others are gravitation, weak interaction and strong interaction.)

Learn more about magnetic field here:

https://brainly.com/question/23096032

#SPJ4

Which of the following does not provide strong evidence for the Big Bang theory?
a) Observations of the cosmic microwave background
b) Observations of the amount of hydrogen in the universe
c) Observations of the amount of oxygen in the universe
d) Observations of the ratio of helium to hydrogen in the universe
b) Observations of the amount of hydrogen in the universe

Answers

The correct option is b) Observations of the amount of hydrogen in the universe.

What is big bang theory?

The Big Bang Theory is the most popular theory about how the cosmos came into being. Simply expressed, it claims the universe as we know it began with an unimaginably hot and dense single point that expanded and contracted over the course of the following 13.7 billion years, first at incomprehensible speeds and then at a more palpable rate, to the still-expanding cosmos that we know today.

To know more about the big bang theory, check out https://brainly.com/question/1638518

#SPJ4

A roller coaster car may be approximated by a block of mass m
m
. The car, which starts from rest, is released at a height h
h
above the ground and slides along a frictionless track. The car encounters a loop of radius R
R
, as shown. Assume that the initial height h
h
is great enough so that the car never loses contact with the track.

Answers

At height h , potential energy of coaster car  having mass m = mgh .

The car will lose potential energy and gain kinetic energy.

height lost by car when it is at the top of loop of radius R

= h - 2R

potential energy lost = mg ( h - 2R )

kinetic energy gained = mg ( h - 2R )

kinetic energy = 0 + mg ( h - 2R )

= mg ( h - 2R )

b )

For the car to remain in contact with the track , if v be the minimum velocity

centripetal force at top = mg

m v² / R = mg

v² = gR

kinetic energy = 1/2 mv²

= 1/2 m x gR

= mgR /

If h be the minimum height that can give this kinetic energy

mg ( h - 2R ) = mgR / 2

h - 2R = R / 2

h = 2.5 R

Therefore, the height of the roller coaster will be 2.5 R.

To know more about height, refer: brainly.com/question/15684459

#SPJ4

A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a frictionless vertical axis through its center. A spring of force constant k is connected to one of the masses. The system is in equilibrium when the spring and stick are perpendicular. The stick is displaced through a small angle theta. a) Determine the restoring torque when the stick is displaced from equilibrium through the small angle theta b) Determine the magnitude of the angular acceleration of the stick just after it has been released c) Write the differential equation whose solution gives the behavior of the system after it has been released d) Write the expression for the angular displacement theta of the stick as a function of time t after it has been released from rest
Answers:
a. τ = FLcos\Theta = FL = -kL2\Theta
b. a = -ke/2m
n
c. d2\Theta/dt2 = -k\Theta /2m
d. \Theta=\Theta0 cos (k/2m)1/2t
Please explain all the steps in arriving at the answers.

Answers

A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a friction less vertical axis through its center, thus calculated values are:

(A) Torque (τ) = F × L cosθ

(B) α = - Kθ/2m

(C) d²θ/dt² = -Kθ/2m

(D)  θ = cos ⁻¹ ( kθ t/2Lm)

What is torque?

The term "torque" refers to the twisting force that an engine exerts as it works, and it expresses the rotating force. Everyday activities like turning a doorknob, opening a drink bottle, using a tool, or peddling a bicycle all involve torque.

(A)

General equation of torque (τ) will be product of force and perpendicular distance.

τ = F × (perpendicular distance)

In this case, restoring torque. Hence, force F we taken as restoring force, and the perpendicular distance x-axis is component of L.

or, τ = F × [tex]L_{x-axis}[/tex]

or, τ = F × L cosθ

(B)

Angular acceleration general equation is:

α = Δω/Δt

here,  Δω = change in angular velocity.

Δt = change in time

As we know, acceleration = force/mass

now, angular acceleration = angular force / mass of body

so, α = - Kθ/2m

(C)

f(t) = α × (t²/2)

or, f(t) = - Kθ/2m × (t²/2)

or, f(t) = - Kθ t² / 4m

now differentiating with respect to t:

or, dθ/dt = -Kθ t/2m

differentiating again with respect to t:

d²θ/dt² = -Kθ/2m

(D)

The expression for angular displacement:

cos θ = adjacent side / opposite side

or, cos θ = adjacent side / 2L

or, θ = cos ⁻¹ ( kθ t/2Lm)

To know more about torque refer to:

https://brainly.com/question/20691242

#SPJ1

A monochromatic light source with a power output of 59.0W radiates light of wavelength 600nm uniformly in all directions.
A. Calculate Bmax for the light at a distance of 5.10m from the source.
B. Calculate Emax for the light at a distance of 5.10m from the source.

Answers

A monochromatic light source with a power output of 59.0W radiates light of wavelength 600nm uniformly in all directions.

A. B(max) = 3.89 × 10⁻⁸ T

B. E(max) = 11.67 N/C

What is monochromatic light source?

Single-wavelength light sources are known as monochromatic lights, where mono stands for only one and chroma for color. Monochromatic lights are defined as visible light that falls within a certain range of wavelengths. It has a wavelength that falls within a constrained wavelength range.

The whole spectrum is theoretically included in each higher-order maximum, but because of potential partial overlap with the next-order maximum, it can be challenging to identify the pattern for a given color. Monochromatic lighting solves this issue.

The intensity of the wave is calculated as:

I = P/A

or, I = P/4πR²

or, I = 59.0 W/ 4π(5.10m)²

or, I = 0.1805 W/m²

A. Emax for the light at a distance of 5.10m from the source.

E(max) = [tex]\sqrt{2u_0cI}[/tex]

or, E(max) = 11.67 N/C

Where, [tex]u_0[/tex] = 4π × 10⁻⁷ T.m/A

c = 3 × 10⁸ m/sec

I = 0.1805 W/m²

B. The amplitude of the magnetic field is calculated as follows:

B(max) = E(max)/c

or, B(max) =  (11.67 N/C) / (3 × 10⁸ m/sec)

or, B(max) = 3.89 × 10⁻⁸ T

To know more about monochromatic light source refer to:

https://brainly.com/question/13156018

#SPJ1

What is transferred by a sound wave between particles?; What happens to sound waves as they get closer?; When the air particles in a sound wave are closer together it is called a?; What happens when sound waves compress?

Answers

Energy is transferred by a sound wave between particles, when sound waves get closer then frequency of wave is high.

Pulses caused by brief disturbances of the medium Wavepackets: like harmonic waves, but with finite extent. We usually focus on harmonic waves that extend forever. They are useful because they have simple math, and accurately describe a lot of wave behavior.

A harmonic wave moving in the positive x direction can be described by the equation y(x,t) = A cos(kx - wt).

Sound waves or electromagnetic waves that are created from a point source are spherical waves, i.e., they move radially from the source in all directions. These waves can be represented by circular arcs. These arcs are surfaces of constant phase (e.g., crests)

In general for spherical waves the intensity will fall off as 1/r2 i.e., the amplitude falls off as 1/r. We have all sorts of waveforms, but thanks to superposition, if we find a nice simple set of solutions, easy to analyze, we can write the more complicated solutions as superpositions of the simple ones.

It is a mathematical fact that any reasonable waveform can be represented as a superposition of harmonic waves. This is Fourier analysis, which many of you will learn for other applications.

To know more about sound waves here

https://brainly.com/question/16093793

#SPJ4

Where does water vapor come from when you exhale?; When you exhale outside on a cold winter day the water vapor in your breath cools and changes into tiny water droplets?; When you breathe into a cold window and water droplets appear it is an example of blank?; When we breathe on a cold windowpane we find dust or drops of water?

Answers

At the dew point, air can no longer absorb water vapor. When air cools above its dew point, water vapor becomes a liquid. This is a physical process known as condensation.

While you breathe out (exhale), your lungs put carbon dioxide again into the air. but, the breath you exhale doesn't only contain carbon dioxide. It additionally includes moisture from your mouth and lungs. This moisture is inside the form of water vapor, the gasoline shape of water.

While you exhale on a chilly day, the air that goes out is saturated and the temperature of the air you exhale is warmer than the encompassing air.

The water vapor to your breath condenses into many tiny droplets of liquid water and ice that you could see within the air as a cloud. It seems pretty similar to fog.

Learn more about condensation here:- https://brainly.com/question/9261589

#SPJ4

When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears
a) deeper than it really is
b) at its actual depth
c) shallower than its real depth
d) It depends on your height above the water

Answers

When you look at a fish in a still stream from the bank, the fish appears shallower than it really is due to refraction. From directly above, it appears to be shallower than its real depth.

The correct option is C.

What is the refraction of light?

The refraction of light refers to the bending of light rays as they cross the boundary between media of different densities.

The bending of light rays may be towards the normal or away from the normal depending on the ratio of the densities of the media.

When light rays move from media of higher density to media of lower density, the light rays bend away from the normal.

When light rays move from media of lower density to media of higher density, the light rays bend toward the normal.

The ratio of the angle of the incident ray and the angle of the refracted ray is known as the refractive index of the medium.

The refractive index of various materials varies.

Learn more about refractive index at: https://brainly.com/question/14760207

#SPJ1

Please help with these MCQs.

1. Filter absorbs __________________.
- only primary coloured lights
- only secondary coloured lights
- only tertiary coloured lights
- all colors of white light

2. The light that has passed through a filter, is always ______________.
- dim
- bright
- sharp
- blur

Answers

1. Filter absorbs all colors of white light.

2. The light that has passed through a filter, is always dim.

Which colors are being absorbed by the filter?

The filter selectively transmits the red and blue portions of the incident white light spectrum, but absorbs most of the green wavelength.

Color filters absorb certain wavelengths of color and transmit the other wavelengths allowing them to be seen.

Therefore in conclusion, the right filter can reduce glare, increase contrast, and make lunar features pop.

Learn more filter at: https://brainly.com/question/27961944

#SPJ1

What is the distance between Earth and sun if light travels at 300000 km/s and takes 8 mins to reach Earth?; How long can light travel in 300000 km?; Does light travel 300000 km per second?; What is the distance of the sun from the Earth * 7 light minutes 8 light minutes 9 light minutes 10 light minutes?

Answers

On average, the Sun is located around 93,000,000 miles (150 million kilometers) from Earth. It is so far away that it takes roughly 8 minutes for the Sun's light, which is moving at a speed of 186,000 miles per second (300,000 kilometers per second), to reach us.

If sunlight needs 8.3 minutes to reach Earth, how far away is Earth from the Sun?

The Sun is only 8.3 light minutes away from Earth, or 1.5781e-5 light years, since light travels from the photosphere of the Sun to the Earth in only 8.3 minutes.

In 300000 kilometers, how far can light travel?

The distance light travels in a year is measured in light-years. Light travels 5.88 trillion miles and 186,000 miles per second through interstellar space.

To know more about light travels visit:-

https://brainly.com/question/1831789

#SPJ4

The matter in this series of images is going threw a change. Draw a conclusion about the type of change shown. Is it a physical change or a chemical change

Answers

The matter in this series of images is going through a change and a conclusion about the type of change is shown which indicates that it is a chemical change.

What is a Chemical change?

This is referred to as the type of change which occurs when the substance's composition is changed and it also occurs when a substance combines with another to form a new substance or when one is broken down into two or more different substances.

The image shown indicates that fire was lit and the substance was subjected to heat which therefore means that there will be gases produced as bubbles are likely to be seen also which indicates a new substance being formed and it is a characteristic of a chemical change which is therefore the reason why it was chosen as the correct choice.

Read more about Chemical change here https://brainly.com/question/19794032

#SPJ1

Other Questions
In which of the following cases the construction of a triangle is not possible? (A)Measures of 3 sides are given. (B)Measures of 2 sides and an included angle are given. (C)Measures of 2 angles and a side are given.(D) Measures of 3 angles are given. a coach does not have to ensure that an injured athlete is ready to return to play. a. true b. false Which of the following statements best conveys the author's message in "And Yet the Books?" Does turkey make you sleepy? why or why not ? At temperatures near room temperature, the temperature dependence of the conductivity for intrinsic germanium is found to be given by o = CT-3/2 exp(- 2KT where C is a temperature-independent constant and T is in Kelvins. Using the above equation to calculate the intrinsic electrical conductivity of germanium at 175 C gains on the sale of marketable securities and inventory, or any gain that is due to section 1245 depreciation recapture is ineligible for recognition under the The graph of the basic cubic function h(x)=x is shown. Suppose thatk(x)=-h(x-1)+2. If point A at (2, 8) undergoes this transformation to become pointA', what are the coordinates of point A'? One justification for the new social and economic order of the North was based ona. Marxism.b. Social Darwinism.c. Utilitarian doctrine.d. None of the above Underlying the dividend irrelevance theory proposed by Miller and Modigliani is their argument that the value of the firm is determined only by its basic earning power and its business risk. True or False the governor of texas can use the veto in various ways to reject acts by the legislature, and different types of vetoes have specific features. label each description with the type of veto that it best and most closely describes. Gallop is a finding in which body system O Gait O Respiratory O CardiovascularO Neuro What is biodiversity discuss the value of biodiversity What are main causes of biodiversity loss?; What is a naturally occurring factor that could lead to a loss of biodiversity?; What factors in the environment affect the biodiversity of organisms in an area?; What are two specific human activities that result in a loss of biodiversity? which two acronyms represent the data link sublayers that ethernet relies upon to operate? (choose two.) Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate 185 122. Is there overflow, underflow, or neither? your neighborhood gym tracked how many days each of its members worked out over the past week. let g A line passes through the points (14, 10) and (0, 2). What is its equation in slope-intercept form? bruno latour maintains that it would make no sense to say ramses ii died of tuberculosis because the ancient egyptians had not identified tuberculosis as a disease. Suppose f(x) = 12x - 1,400 and g(x) = 12x - 1,600. Describe the transformation of the graph of f(x) to the graph of g(x). Group of answer choicesthe graph is translated left 200 units.the graph is translated up 200 units.the graph is translated right 200 units.the graph is translated down 200 units Think of a historical example, other than slavery, where the is-ought fallacy was used to support a negative practice or custom.Subject- Logic(but it wasn't listed in the "Pick a subject" tab) Which statement is true about the rights of U.S. citizens?a . Men have more rights than women.b .The rights of U.S. citizens are guaranteed by the Constitution.c . Some accused individuals cannot have their trials decided by a jury of peers.d . Citizens have the right to refuse to pay taxes.