A cat runs 13.1m in 8.0s. How long (in s) will it take the cat to run 5.5km?

J. J. Thomson used a cathode-ray tube to calculate the charge-to-mass ratio of the electron. The deflection of cathode rays towards the positively charged surface and emission of green light at the far end of the tube confirmed that they are negatively charged particles.

In 1897, J.J Thomson performed a cathode ray tube experiment to determine the charge-to-mass ratio of electrons.

Due to high voltage, a beam of particles was allowed to flow from the negatively charged end to the positively charged end of the tube.

One end of the tube was painted with phosphorous. When electrons struck the wall a green spark was observed which confirmed the presence of negatively charged particles i.e. electrons.

To put it simply, cathode rays came from the cathode tube and deflected towards a positively charged plate showing that they are negatively charged particles.

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The force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N

We know that,

F = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]r^{2}[/tex]

where,

F = Force

G = Constant

[tex]m_{1}[/tex], [tex]m_{2}[/tex] = Masses

r = Distance between those two forces

Given that,

F = 8 N

When the distance between those two masses is increased by a factor of four,

[tex]F^{'}[/tex] = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]( 4r)^{2}[/tex]

[tex]F^{'}[/tex] = F / 16

[tex]F^{'}[/tex] = 8 / 16 = 1 / 2

[tex]F^{'}[/tex] = 0.5 N

Force is a phenomenon which can cause an objects motion to change. It causes an object with mass to change its velocity.

Therefore, the force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N

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the maximum size of fuse permitted in a single phase is 18.75 ampere.

POWER = amount of energy transferred per unit time.

Power = voltage x current

power = 4500 volt-ampere

voltage = 240 volt

current = power/voltage

       = 4500/240

      = 18.74 ampere

the maximum size of fuse permitted in a single phase is 18.75 ampere.

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Juggler will catch the second ball 1 second after catching the first ball as the first ball comes down 1 second earlier than the second.

Two balls are thrown into the air. The first ball goes up with a velocity of 9.8m/s and the second ball goes with a velocity of 14.7m/s. We have to find out the Time difference between the balls when both of them land in the hand. We have Newton's first equation :  v = u + at =>  t = (v-u)/a

where, v = Final velocity, u = Initial velocity, a=g = Acceleration of gravity, and t = Time

For First ball, v1 = 9.8m/s, u1 = 0, g = 9.8 (acceleration for gravity),             t1 = time and multiplying the equation by 2 for marking journey of balls for both going up and down

              => t1 = 2(v1-u1)/g    =>  t1 = (9.8-0)/9.8

              => t1 = 2 seconds

For second ball, v2 = 14.7m/s, u2 = 0, g = 9.8 (acceleration for gravity),

t2 = time & multiplying the equation by 2 for marking journey of ball for both going up and down  => t2 = 2(v2-u2)/g  

              => t2 = (14.7-0)/9.8  => t2 = 3 seconds

Difference between the time taken by both balls t = t2-t1

                    => t = 1 second

So the second ball lands after 1 second.

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Water depth Bathyscaphes can submerge at a depth of h=5 km=5000 m.

the seawater's particular weight,

γ=10.1kN/m3

Through the equation, the density of the seawater and its specific weight are connected.

γ=ρg→(I)

where rho is the seawater's density and g is the acceleration brought on by gravity.

Given is the pressure at a depth of h meters. ,

P=ρgh→(II)

When equation I is substituted, equation (ii),

P=γh

About substituting

P=10.1×103×5000=50.5×106Pa=50.5MPa

1 Pascal =1.45×10−4psI

50.5 MPa corresponds to

50.5MPa=50.5×106×1.45×10−4psI=7322.5psI

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Since the gravity acts on the vertical component of the velocity of the object, the bullet will spend 0.34 s in air.

What is Vertical Motion ?

Vertical motion is also known as motion under gravity. The gravity acts on the vertical component of the velocity of the object.

Given that a bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s², the gravity will act on the bullet vertically.

Using the formula h = ut + 1/2gt² we can know how long (t) was the bullet in the air.

Substitute all the parameters into the formula

0.58 = 0 + 1/2 × 9.8 × t²

0.58 = 4.9t²

t² = 0.58/4.9

t² = 0.1184

t = √0.1184

t = 0.34 s

Therefore, the bullet will spend 0.34 s in air.

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The model that best represents this phenomenon is called Osmosis

In osmosis, a semi-permeable membrane allows the solvent to pass from a higher solvent concentration to a lower solvent concentration (or, to put it another way, from a lower solute concentration to a higher solute concentration).

As a result, the dialysis bag with the highest concentrated starch solution will absorb the most water from the outside (present in the beaker).

Line A thus displays the information gathered from the bag containing the highest concentrated starch solution.

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The frequency of radiation of the given wavelength is 3.125×[tex]10^{14}[/tex] Hz.

Given λ = 960nm

f=c/λ

f= 3×[tex]10^{8}[/tex]/960×[tex]10^{-9}[/tex]

f= 3.125×[tex]10^{14}[/tex]

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters  (mm).

The wavelength is the separation between two wave crests, while troughs have the same wavelength. The number of vibrations that pass over a specific place in a second is known as the frequency and is expressed in cycles per second (Hz) (Hertz).

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Larger diameter, capabilities of the better gathering of light, and better resolving power are those advantages that a large diameter astronomical telescope has over a telescope of a smaller diameter.

The larger the lens or mirror which is having the diameter or aperture, the telescope will then gather more light and will be at higher resolution as the viewer has the chance to see fine in detail it can. Larger scopes also have focal lengths of longer size, which means the magnifications will be greater and the sizes of images are possible with accessibility by both the eye as well as the camera.

A larger telescope mirror is a type that allows us to view the fainter objects farther into the region of space, therefore the larger one in round nature is better. The shape does not matter just as long as it can bring light to the focus point.

Large telescopes will be having several merits over their smaller counterparts, and the concerned resolution will be as how much in detail we are able to see a celestial object is the first priority. Generally, the resolution depends mainly on two things the stability of the atmosphere as well as the aperture present in your telescope. The user can only control any one of these factors.

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The average speed of the tennis ball is 3 m/s.

Average speed can be defined as the ratio of the total distance to the total time covered by the body. The S.I unit of average speed is m/s.

To calculate the formula below.

Formula:

Where:

From  the question,

Given:

Substitute these values into equation 1

Hence, The average speed of the tennis ball is 3 m/s.

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Using dimensional analysis; L²/T⁴ = 2 * L²/T⁴

Thus, v² = u² + 2as is dimensionally correct.

Dimensional analysis is the process whereby the various quantities of measurement are expressed in their basic unit or the fundamental units from which they are derived.

The fundamental units which are used in dimensional analysis is done is:

To check if v² = u² + 2as is dimensionally correct:

unit of v = m/s = L/T

unit of u = L/T

unit of a = L/T²

s = L

(L/T)² = (L/T)² + L * L/T²

L²/T⁴ = L²/T⁴ + L²/T⁴

L²/T⁴ = 2 * L²/T⁴

The expression, v² = u² + 2as is dimensionally correct.

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The graph shown in the first option shows a reasonable representation of the velocities of the lion and the gazelle as functions of time, therefore the correct answer is option A.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem if a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above.

Thus, the correct answer is option A.

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Answer:

w

Explanation:

Sokol

Answer:

See below

Explanation:

With N   at 0 degrees    

   35 degrees south of west becomes  90 + 35 = 125 °

x component      50 km  cos 125  = - 28.7 km

y component       50 km sin 125 =   41 km

The tension force would be 7.62N. Its angle of equilibrium would be 70.23°

For equilibrium,

for direction X,

Tcos([tex]\theta[/tex]-36.87°) = 8cos (36.87°) → 1

For direction Y,

9 = 8sin36.87° + Tsin([tex]\theta\\[/tex]-36.87°)

Tsin([tex]\theta\\[/tex]-36.87°) = 9- 8sin(36.87°) → 2

Now dividing equation 2 by 1,

tan([tex]\theta\\[/tex]-36.87°) = [tex]\frac{9-8*3/5}{8*4/5}[/tex]

tan([tex]\theta\\[/tex]-36.87°) = 0.66

[tex]\theta\\[/tex] - 36.87°= [tex]tan^{-1}[/tex](0.66)

[tex]\theta\\[/tex] - 36.87° = 33.42°

⇒ [tex]\theta[/tex] = 40.29°

Now from equation 1,

Tcos(33.42°) = 8cos(36.87°)

T = [tex]\frac{8*4/5}{0.84}[/tex]

T = 7.62N

Thus, we get the tension force as 7.62N

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If the measurement is taken for four different times for same weight and is always different then the balance is precise but not accurate.

There are numerous instruments available for measuring mass in various settings. The use of gravitational interaction between objects is one of them, along with balances and scales, measurement transducers, vibrating tube sensors, Newtonian mass measurement devices, and balances and scales.

The kilogram, which is defined as equal to 6.6260 x 10³⁴joule second in terms of Planck's constant, is the unit of mass in the International System of Units (SI). A joule is equal to one kilogram multiplied by one square meter per second.

A beam balance is always used to determine mass. Because a spring balance measures weight rather than mass, it will read differently depending on where you are on the planet.

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The distance traveled is mathematically given as

D = 766.7 m

The airplane's horizontal velocity was measured to be 170 meters per second.

100 meters is the equivalent of the distance above the earth.

Generally, the equation for distance is  mathematically given as

s = u_0t + (1/2) g t2

then, we get

(100 m) = (0.5) (9.8 m/s2) t2

[tex]t = \sqrt{(100 m*4.9 m/s2)}[/tex]

t = √20.4 s2

t = 4.51 sec

we know that,

D = vx t

D= (170 m/s) (4.51 s)

D = 766.7 m

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The speed of the river is 0.5 Km/hr

Let X be the speed of the boat.

Let Y be the speed of the river.

Downstream speed

X - Y = 4

Upstream speed

X + Y = 5

By solving, we get

2X = 9

X =  4.5 Km/hr

Y =  0.5Km/hr

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The partial pressure of gas expressed after equilibrium is 409 torr.

What is the partial pressure of gas expressed after equilibrium:

1. Write out the units given.

V1= 1 L

Ptot= 818 torr

PPB= 328 torr

V2= 1L

2. Remember= PaVa= PtotVtot

3. Add together volumes for total volumes.

1 L + 1 L= 2 liters

4. Plug in values and solve for PP of gas A.

PPA= Ptot x VA/Vtot

818 torr x 1/2 L= 409 torr

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Answer: 1325t miles

Explanation: you have to divide all of them

Length times width gives the surface area of the pool. Multiplying that by the average depth gives the volume in cubic feet. Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool (expressed in gallons).

Answer:

the answer is volume

Explanation:

When the wavelength of light is decreased the ejected electrons would have greater kinetic energy.

A kind of energy that an item or particle possesses as a result of its mobility is known as kinetic energy.

When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and consequently obtains kinetic energy.

An object's kinetic energy is the energy it has as a result of motion.

Kinetic energy is the force that drives an object's motion.

Kinetic energy can be found in moving objects such as a bullet traveling at high speed or a person walking.

The energy brought on by the random, continuous bouncing of atoms or molecules is another illustration of kinetic energy.

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The direction of the car will not change and the speed of the car at time of 2 seconds will be 4 m/s.

The size of the change in an object's position over time or the size of the change in that object's position per unit of time makes the speed of an object, also known as v in kinematics, a scalar number. The instantaneous speed is the upper limit of the average speed as the duration of the time interval gets closer to zero. 

According to the question,

Initial Speed, u is 12 m/s,

Time, t at 2 seconds and,

acceleration is -4 m/s².

Now by using Equation of motion :

v=u+at

v=12+(- 4 m/s²)(2 sec)

V=12-8

V= 4 m/s.

Hence, the speed of the car will be 4 m/s at time 2 seconds and the direction of the car will not change.

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The function of wavy water is  D(t) = 33.5 +21.5cos(2π/3·(t -1.1))

In quantum physics, a wave function is a mathematical representation of the quantum state of a standalone quantum system. The probabilities for potential outcomes of measurements performed on the system may be calculated from the wave function, which is a complex-valued probability amplitude.

The function can be ...

 D(t) = A +Bcos(C(t-p))

where A is the average depth (55+12)/2 = 33.5 cm,

 B is the peak deviation from average, 55 -33.5 = 21.5 cm,

 C is the horizontal scale factor (2π/T) = (2π/3) for a period (T) of 3 seconds,

and p is the phase offset, given as 1.1 seconds.

the function -

 D(t) = 33.5 +21.5cos(2π/3·(t -1.1))

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The​ particle's velocity at as a product of its speed and direction is equal to 10 . [tex](\frac{8}{10},0,\frac{6}{10} )[/tex]

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

The particle's velocity is the derivative of its position. The particle's acceleration is the derivative of its velocity. You can calculate the velocity and acceleration as follows:

[tex]\vec{v}(t)=\frac{d r}{d t}=\frac{d}{d t}(8 t+5) \vec{i}+\frac{d}{d t}\left(8 t^2-2\right) \vec{j}+\frac{d}{d t}(6 t) \vec{k}=8 \vec{\imath}+16 t \vec{j}+6 \vec{k}[/tex]

[tex]\vec{a}(t)=\frac{d v}{d t}=\frac{d}{d t}(8) \vec{i}+\frac{d}{d t}(16 t) \vec{j}+\frac{d}{d t}(6) \vec{k}=0 \vec{i}+16 \vec{j}+0 k[/tex]

The velocity at t = 0 is  [tex]\vec{v}(0)=8 \vec{i}+0 \vec{j}+6 k[/tex]

if the speed at t = 0 is [tex]||\vec{v}(0)||[/tex] = 10 then the velocity at t = 0 can be written as a product of the speed at t = 0 & the direction at t = 0 is

[tex]\vec{v}(0)=\|\vec{v}(0)\| \frac{\vec{v}(0)}{\|\vec{v}(0)\|}=10 \cdot\left(\frac{8}{10}, 0, \frac{6}{10}\right)[/tex]

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Full question

The equation r (t) = (8t + 5)i + (8t^2 - 2)j + (6t )k is the position of a particle in space at time t. Find the​ particle's velocity and acceleration vectors. Then write the​ particle's velocity at t equals 0 as a product of its speed and direction. What is the velocity​ vector?

It would take a fly 11.11 seconds to cover the given distance of 60 meters.

Velocity is a term that describes the speed and direction of a point's motion. The speed at which the point is moving along its path in time is known as the magnitude of the velocity.

Velocity is a vector quantity that cannot be fully described by a number because it has direction in addition to magnitude.

Changes in an object's position are referred to as displacement. Displacement is represented by a vector. This implies that it has both a direction and a magnitude.

Given in the question

Velocity = 5.4 m/s

Distance = 60 meters

Time = Distance/Velocity

Put in the values, we get

Time = 60/5.4 seconds

Time = 11.11 seconds

Therefore, it would take 11.11 seconds for a fly to cover a 60-meter space while traveling at a speed of 5.4 m/s.

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Ohm's Law is a formula used to determine how voltage, current, and resistance in an electrical circuit relate to one another.

Use Ohm's Law to calculate the following:

a) The voltage required to produce a current of 2A in a 12ohms resistor.

To scientists, Einstein's Relativity equation (E = mc2) is as fundamental as Ohm's Law (E = IR).

E = I x R

The difference in electric potential between two points, which is defined as the work required per unit of charge to move a test charge between the two points, is known as voltage, electric potential difference, electric pressure, or electric tension.

The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.

Therefore, Voltage required = 2 * 12 = 24 volts

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Newton's second law of motion states that "the acceleration of an object is equal to the force on an object divided by the mass of the object.​"

Newton's second law of motion is also called the law of acceleration as it tells us about the acceleration of a moving object under the influence of an unbalanced force or net force not equal to zero.

According to the law, the acceleration of an object is directly proportional to the force on the object and inversely proportional to the mass of the object.

Acceleration a ∝ Force F                                                                       ....1

Acceleration a ∝ 1/Mass m                                                                    ....2

From 1 and 2  Acceleration a = [tex]\frac{Force}{Mass}[/tex]

Therefore, Newton's second law of motion states that "the acceleration of an object is equal to the force on an object divided by the mass of the object.​"

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