Find the work done by winding up a hanging cable of length 26 ft and weight density 2 lb/ft. round your answer to two decimal places, if necessary.

Answer:

11,907 m is the maximum height ymax reached by the rocket.

Explanation:

The equations which relate displacement, velocity, acceleration and time are known as Equation of Kinematics. In this problem we use second and third equation of kinematics solve,

s = vit+1/2at2

V2f − V2i=2as

It is important to note from the information provided in the question

Acceleration in the first phase a1=49.0m/s2

Time for acceleration t=9.00s

Acceleration in the second phase a2=−9.8 ms-2

Height reached in first phase

y1=vit+1/2a1t2

y1 =0ms-1 × 9.00s + 12×49.0 ms-2 × (9.00s)2

=1984.5m

velocity at the end of first phase

v1=49.0 ms-2 × 9.00s

=441m/s

Now height reached in the second phase

V2f − V21 = 2a2y2

At maximum height final velocity is zero.

=02−(441.0m/s)2

=2(−9.80 ms-2) y2

y2=(0-(441.0 ms-2))/(2×(-9.80ms-2))

=9922.5m

So, the maximum height ymax reached by the rocket

ymax = y1+y2

ymax  =1984.5m+9922.5m

=11907m

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Once the object is dropped ,The only force acting on it is gravity.so acceleration due to gravity is 9.8 m/[tex]s^{2}[/tex].

Given,

Initial velocity = u = 0

Time taken = t = 0

Acceleration = g = 9.8 m/[tex]s^{2}[/tex]

Using [tex]3^{rd}[/tex] equation of motion ,

v = u + at

v =( 0 )+ (9.8) *(3)

v = 29.4

v≈ 30 m/s

So, the speed of object is 30 m/s.

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If liquid water at 30 degrees Celsius is flowing in a pipe and the pressure drops to the vapor pressure, the water starts to boil

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The magnitude of the resultant velocity of the soccer ball is: 25.059 m/s

The formula for projectile motion that we will use to solve this exercise is:

vf= √[v(x)² + v(y)²]

Where:

Information about the problem:

Applying the final velocity formula we have:

vf= √[v(x)² + v(y)²]

vf= √[(22 m/s)² + (12 m/s)²]

vf= √[484 m²/s² + 144 m²/s²]

vf= √[628 m²/s²]

vf= 25.059 m/s

The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.

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Doppler radar measures the speed and direction of hail or raindrop movement within a cloud using microwave energy.

A Doppler radar is a specialized radar that can gather velocity information on distant objects using the Doppler effect. This is done by directing a microwave signal at a target and observing how the target's movement changes the frequency of the signal that is reflected back. The difference between a wave's observed frequency and its emitted frequency when the observer is moving with respect to the wave source is known as the Doppler effect, sometimes known as the Doppler shift, and named after the Austrian scientist Christian Doppler who originally proposed it in 1842. The radial component of a target's velocity in relation to the radar can be directly and extremely accurately measured using this variation. It frequently happens while a vehicle with sirens moves toward, past, and away from a target.

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When randomly arranged low-energy protons enter the magnetic field they become static and parallel with the main magnetic field and net magnetization.

The magnetic moments of each individual hydrogen atom are added to create the net magnetization vector in MRI. Individual magnetic moments are arbitrarily oriented when there is no external magnetic field, and because they are in opposition, the net magnetization vector is thought to be zero.

The intensity of magnetization, or just magnetization, is the term used to describe the magnetic dipole moment per unit volume of a substance (M). The relationship between the applied magnetic field (H) and the material's internal magnetic flux density or magnetic induction (B) is linear.

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a system is a collection of particles or interacting parts that is regarded as a unique physical entity for the purposes of study.

It is an entity that has a physical existence. An entity is something that exists in itself, real or potential, concrete or abstract, physical or not. It does not have to be of material existence. In particular, legal abstractions and fictions are generally considered entities. Also, in general, an entity is not considered animate. The word entitative is the adjective form of the nominal entity. Something entity is considered for itself. In philosophy, ontology consists in recognizing entities. The words ontic and entity derive from the present participles of ancient Greek and Latin, respectively, meaning being.

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The time taken for the boat to reach the dock is 2.19 s

From the question given above, the following data were obtained:

The time taken for the boat to reach the dock can be obtained as illustrated below:

s = ut + ½at²

12 = (0 × t) + (½ × 5 × t²)

12 = 0 + 2.5t²

12 = 2.5t²

Divide both side by 2.5

t² = 12 / 2.5

Take the square root of both side

t = √(12 / 2.5)

t = 2.19 s

Thus, the time taken is 2.19 s

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Answer:

675

Explanation:

10 seconds = 450 cm

1 second = 450 ÷ 10 cm

15 seconds = 450 ÷ 10 × 15 cm

" = 45 × 15 cm

" = 675 cm

Thus , 675 is the answer

The correct answer is :

According to classical electrodynamics, light energy is a wave that is absorbed by atoms in a manner similar to how an object absorbs radiant heat. So, the atoms of a metal would absorb more energy the brighter the light was. It would be feasible for an electron in a metal to break free from its atoms if it received enough energy from the incoming wave. The more energy absorbed, the more energetic the metal's released electrons would be. Additionally, no electrons could conceivably be ejected until each atom had enough light energy. Light intensity was far more important than light frequency.

In many respects, the photo-electric effect contradicted this strategy:

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Answer: 6 km

works on odyseyware

The answer would be  is 6 km

The angle of refraction in the glass is 30°.

i= 50°

u= 1.50

u1sini=u2sinr

⇒sinr =[tex]\frac{sin 50}{1.5\\}[/tex]

=0.50=1/2

so angle r = [tex]sin^{-1}[/tex](0.5) =30°

Then we have to calculate r final.

[tex]u_{glass}[/tex]sini= [tex]u_{air}[/tex] sinr

⇒ r = [tex]sin^{-1}[/tex] (1.5 x [tex]\frac{\sqrt{3} }{2}[/tex])

[tex]sin^{-1}[/tex](1.29) = 0.0225

Then the displacement can be calculated as follows:

T= thickness = 5cm

s= t (1- 1/u)

s= 2cm

Thus, all the values have been found out.

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126 J work input is required in each cycle .

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

Mathematically, the above statement is expressed as follows:

W = (F cos θ) d = F. d

Where,

W is the work done by the force.

F is the force, d is the displacement caused by force

θ is the angle between the force vector and the displacement vector

The dimension of work is the same as that of energy and is given as, [ML2T–2].

Given,

refrigerator absorbs 230 J of heat from the freezer

expels 356 J of heat to the room

work input is required in each cycle =  356 - 230

=  126 J.

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spring P.E = 1/2 kx^2

= 1/2 * 250 x 0.25 = 31.25 N

where k= spring constant = 250 N/m

x= Compression = 0.250

By Applying conservation of energy

K.Ei+ P.Ei =K.Ef+ P.Ef

0+ 31.25 = 0+ m(9-8)(0.5)

4.9m =31.25

m= 6.377 kg

m- 6.4kg

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Answer: 1.2 Hz

Explanation:

Khan Academy

Jorge was driving at 20m/s. He accelerated at a rate of 2m/s² for 10s.

So he travel ---m during this time.

Jorge was driving at 20m/s, so speed = 20 units

He accelerated at a rate of 2m/s² so acceleration = 2 units

Time taken by Jorge is 10 units.

We know by Newton's 2nd equation of motion that

S= ut + (1/2)*a*t*t

where S is distance, a is acceleration, u is initial velocity and t is time.

So S=?

Time t = 10

Acceleration a =2

Initial Velocity u = 20

Hence distance travelled by Jorge is S=300 m

Thus Jorge travelled 300m during this time  at speed 20m/s accelerated at a rate of 2m/s² for 10s.

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The magnitudes of the electric field at the following distance 0cm,10cm,40cm,72cm are 0,5.2 x 105 N/C,2.1 x 106 N/C and 6.42 x 105 N/C.

An electric field is a physical field that surrounds a charged particle and exerts a force on all other charged particles in the field to attract or repel each other. Electric fields are generated by electric charges and time-varying currents. Both electric and magnetic fields are manifestations of the electromagnetic field, one of nature's four fundamental interactions (also called forces). Electric fields are important in many areas of physics and are used in electrical engineering. For example, in atomic physics and chemistry, the electric field is the gravitational force that holds atomic nuclei and electrons together. It is also the force responsible for the chemical bonds between atoms that form molecules.

R = 40 cm = 0.4 m ; q = 31.9 \muC = 32 x 10-6 C ;

We need to find the expression for E field for given geometry.

from Gauss law,

(r). dA = Qin/ e0

E(r) \oint dA = Qin/ e0

E(r) . 4 pi r2 = Qin/ e0

E(r) = Qin/4 pi[tex]r^{2}[/tex]

For, Qin = Q (4 pi r3 / 4 pi R3) = Q (r/R)3 putting this in above equation

E(r) = Q r3/4 pir2

R3 = E(r) = Q r /4 piR3

E(r) =  Q r /4 pi R3 (1)

For, Qin = Q

E(r) = Q/4 pi r2   (2)

(a) Since r = 0 is r < R

Using 1

E(r) = E(0) = 0

(b) r = 0.1 m

Again using 1

E(r) = Q r /4 piR3

E(0.1) = 9 x 109 x  37 x 10-6 x 0.1 / (0.4)3 = 5.2 x 105 N/C

Hence, E(0.1) = 5.2 x 105 N/C

(c) r = 0.4 m

We will use (2) here

E(r) = Q/4 pi r2  

E(0.4) = 9 x 109 x  37 x 10-6 / (0.4)2 = 2.1 x 106 N/C

Hence, E(0.4) = 2.1 x 106 N/C

d)r =0.72 m

We will use (2) here

E(r) = Q/4 pi r2

E(0.72) = 9 x 109 x  37 x 10-6 / (0.72)2 = 6.42 x 105 N/C

Hence, E(0.4) = 6.42 x 105 N/C

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A position-time graph shows how far an object has traveled from its starting position at any given time since it started moving.

The graph on which the immediate function x of a particle is plotted at the y-axis and the time t on the x-axis is called the position-time graph.

The distinction between them is that the velocity-time graph famous the speed of an item and whether it's miles slowing down or dashing up, whilst the position-time graph describes the motion of an item over a period of time.

Position-time graph and displacement-time graph is same. but each are different from distance-time graph. role-time graph and displacement-time graph may be bad. Distance-time graph can by no means be negative.

The shapes of the position-time graph for these  basic varieties of motion - consistent pace movement and multiplied movement i.e., converting speed - monitor an vital precept. The precept is that the slope of the road on a position-time graph well-known shows beneficial statistics about the speed of the item.

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The number of electrons lost is 3.69 * 10^8 electrons

We know that charge that is carried by an electron has the magnitude of 1.6 * 10^-19C. In this case we have been asked to obtain the number of electrons that could be lost in the process and we have the charge as 59pc.

Knowing that;

Q = ne

Q = magnitude of charge

n = number of electrons

e = magnitude of charge on an electron

n = Q/e

n = 59 * 10^-12/1.6 * 10^-19C

n = 3.69 * 10^8 electrons

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Short focal length lens makes the background and foreground appear closer together.

Short focal length lenses are sometimes known as wide-angle or wide-field lenses, which accurately defines their key characteristic—they view a larger angle of a scene than is typical.

When your eyes are fixed in one place and you look at a scene, a lens with a typical focal length captures what you see.

The angle of view is narrower, and the magnification is higher the longer the focal length.

A shorter focal length results in a wider angle of view and a lower magnification.

Because they provide a broad field of view, short focal length lenses are frequently utilized in architectural, documentary, and landscape photography. These telephoto lenses enable

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The upper cutoff accelerometer is made with a crystal of natural frequency of the accelerometer is 7.334 KHz.

An accelerometer is a tool that precisely measures acceleration. Proper acceleration is the acceleration of a body in its own instantaneous rest frame, as opposed to coordinate acceleration, which is acceleration in a fixed coordinate system.

Accelerometers are devices that measure the acceleration or vibration of a structure. They have a transducer that converts mechanical force caused by vibration or a change in motion into an electrical current by using the piezoelectric effect.

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In an aquarium 2 m long, 1 m wide, and 1 m deep, the work needed to pump half of the water is 2452.5 J

Work done is defined as the integral of force multiplied with distance.

So, the formula goes as W=[tex]\int\limits^a_b {Fx} \, dx\\[/tex]

Force can be written in terms of density as

F = m * g = ρVg

v = 2x1x1 = 2[tex]m^{3}[/tex]

so, work done will be

W = [tex]\int\limits^{0.5}_0 2*1000*9.81* {x} \, dx[/tex]

= 19620[tex](\frac{x^2}{2} )\left \{ {{0.5} \atop {0}} \right.[/tex]

W = 19620 [tex]\frac{(0.5)^2}{2}[/tex]

W= 2452.5 J

Thus, the work that is needed to be done to pump half the water = 2452.5 J

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Answer:

change in speed) / (time for the change)

              and the direction of the change.

Acceleration  =  (60 - 0) km per hour / 5 sec  =  12 km per hour per second, east.

I hear teachers all over the country complaining about that ugly unit.

It has to be changed to a more familiar unit of acceleration.

(12 km/hour) x (1 hour/3600sec) = 12,000/3600 = 3-1/3 meter/sec.

His acceleration is  3-1/3 meters per second² .

Explanation:

a

Answer:

u=0

v=60 km/ hr

60 \times 1000 \\ 60 \times 60 = 1800

t =5

t = 5 \times3600 = 18000

a= ?

a = v - u \div t

= 1800 - 0 \div 18000 \\

1m/s^2\: ans

v^2 = k am sn,

where k is a dimensionless constant.

we have to tell the whether it is dimensional or dimensionless

v = m/sec  dimesions

a = m/sec^2  dimesion,  m = m

v^2  =  m^2 / sec^2 = k  m/sec^2 * m

k =  dimesionless constant.

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The resultant of these two vectors is 19 units of two vectors, one with a magnitude of 14 units and one with a magnitude of 5 units, are both pointing east.

Explanation

As we know R = A + B

where is R resultant A and B are vectors is possible only if the both the vectors are in the same direction.

Therefore, R = 14 + 5

                     19 units

A resultant force is the single force and corresponding torque that are created when a system of forces and torques acting on a rigid body is added together using vectors in physics and engineering. A consequent force, also known as a resultant force-torque, is one that acts on a rigid body in the same way as the initial system of forces.

Through computational analysis or (in the case of sufficiently simple systems) a free body diagram, the resultant force on a body is calculated and visualized.

The resultant force's location of application defines the torque it produces. Some people use the term resultant force-torque to describe the forces and torques acting on a rigid body; the word resultant force should be understood to include both.

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The distance between the stations is 1320 m

We'll begin by calculating the distance travelled by the train in the first 20 s. This can be obtained as follow:

s = ut + ½at²

s = (0 × 20) + (½ × 1.1 × 20²)

s = 0 + 220

s = 220 m

The distance between the stations can be obtained as illustrated below:

Total distance = 220 + 110

Total distance = 1320

Thus, the distance between both stations is 1320 m

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A hockey player is standing on his skates on a frozen pond, if he accelerates uniformly at 0.22 m/s2, the player will catch his opponent in 19.49 seconds.

Uniform Motion

The object's uniform motion should follow the following rules as provided

vt = vo + at

vt² = vo² + 2a . s

s = vo*t + 1/2*a*t²

Here vt is seen as the final velocity, vo = initial velocity

a= acceleration t= time and s= displacemnt

according to the question,

v = 2

t= 1.4

vo= 0 m/s

a = 0.22 m/s²

The distance between the players is seen as

Vt= 2x 1.4 = 2.8 m

The player will thus catch his opponent with the same distance. This means,

Sopponent = Splayer

so + vt = vo*t + 1/2 at²

⇒ 2.8 + 2.t = 0 . t + 1/2 . 0.22 . t²

⇒ 0.11t² - 2t - 2.8 = 0

⇒ t = 19.49 s

on solving the above quadratic equation, we calculate the possible root as 19.49 seconds.

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The momentum of both the engaged animals—a bird and its prey—is conserved.

What does linear momentum conservation mean?

If there is no external force acting on the colliding objects, the total momentum before and after the collision will be the same, according to the conservation of momentum principle.

Initial momentum is the same as final momentum.

As a result, both the engaged animals—a bird and its prey—keep their momentum.

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Most commonly observed phenomena with light can be explained by waves. But the photoelectric effect suggested a particle nature for light

Publicized early in the debate about whether light was composed of particles or waves, a wave-particle dual nature soon was found to be characteristic of electrons as well.

The evidence for the description of light as waves was well established at the turn of the century when the photoelectric effect introduced firm evidence of a particle nature as well.

On the other hand, the particle properties of electrons was well documented when the DeBroglie hypothesis and the subsequent experiments by Davisson and Germer established the wave nature of the electron.

The details of the photoelectric effect were in direct contradiction to the expectations of very well developed classical physics.

The explanation marked one of the major steps toward quantum theory.

The remarkable aspects of the photoelectric effect when it was first observed were:

1. The electrons were emitted immediately - no time lag!

2. Increasing the intensity of the light increased the number of photoelectrons, but not their maximum kinetic energy!

3. Red light will not cause the ejection of electrons, no matter what the intensity!

4. A weak violet light will eject only a few electrons, but their maximum kinetic energies are greater than those for intense light of longer wavelengths.

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Answer:

d = 102 m

Explanation:

distance = 36 m + 44 m + 22 m

Distance = 102 m