The following diagram shows the motion of a person along a straight horizontal path which is divided into two stages: In Stage I (AB), the person starts from rest and accelerates by a constant rate of 0.4 m/s over a distance of 20m. In stage 2 (BC), the person moves at constant velocity v for 10s. The average velocity of this person during the whole trip is:

Answer:

The direction of magnetic field is along + Z axis.

Explanation:

The direction of motion of electron is along y axis.

The magnetic  force is along - X axis.

The force on the charged particle moving in the magnetic field is

\(\overrightarrow{F} = q (\overrightarrow{v}\times \overrightarrow{B})\\\\- F \widehat{i} = - q (v \widehat{j}\times \overrightarrow{B})\\\)

So, the direction of the magnetic field is along + Z axis.

The magnitude of the initial acceleration of the object is 4.2 m/s².

The tension in the string once the object starts moving is 13.65 N.

The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

m₂g - μm₁g cosθ = a(m₁ + m₂)

where;

(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)

33.5 = 8a

a = 33.5/8

a = 4.2 m/s²

The tension in the string once the object starts moving is calculated as;

T = m₁a

T = 3.25 x 4.2

T = 13.65 N

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Before the ball hits the ground, it is 2.8 seconds in the air. The result is obtained by using the equations in uniformly accelerated straight motion.

The equations apply in uniformly accelerated straight motion in vertical dimension are

v₁ = v₀ + gt

v₁² = v₀² + 2gh

h = v₀t + ½ gt²

Where

A student standing on the ground throws a ball straight up with

Find the time it takes for the ball to reach the ground!

We use g = 9.8 m/s². See the illustration picture in the attachment!

The ball will go upward and stop at a certain height with v₁ = 0. The time needed is

v₁ = v₀ - gt₁

0 = 13.0 - 9.8t

13.0 = 9.8t

t₁ = 13.0/9.8

t₁ = 1.3 s

The height above the hand when the ball stops is

v₁² = v₀² - 2gh₂

0 = 13.0² - 2(9.8)h₂

13.0² = 2(9.8)h₂

169 = 19.6h₂

h₂ = 8,62 m

The ball stops at a height of

h₃ = h₁ + h₂

h₃ = 2.50 + 8.62

h₃ = 11.12 m

The ball goes downward and reach the ground. Initial velocity in this condition is v₁ = 0. The time needed is

h₃ = v₁t + ½ gt₂²

11.12 = 0 + ½ (9.8)t₂²

11.12 = 4.9t²

t₂² = 2.27

t₂ ≈ 1.5 s

The time that the ball in the air is

t = t₁ + t₂

t = 1.3 + 1.5

t = 2.8 s

Hence, the ball is in the air for 2.8 seconds.

Your question is incomplete, but most probably your full question was

A student standing on the ground throws a ball straight up. The ball leaves the student's hand with a speed of 13.0 m/s when the hand is 2.50 m above the ground. How long is the ball in the air before it hits the ground? (The student moves her hand out of the way).

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The block comes to a rest from 12 m/s with acceleration 3 m/s^2, which is carried out over a distance x such that

(12 m/s)^2 - 0^2 = 2 (3 m/s^2) x

=>   x = (12 m/s)^2 / (2 (3 m/s^2)) = 24 m

The force itself has a magnitude F such that

F = (4 kg) (3 m/s^2)

=>   F = 12 N

This force is pointing opposite the direction in which the block is moving, so the work it's performing is negative, and the work done is

W = - (12 N) (24 m) = -288 Nm = -288 J

which makes C the answer.

The period of the motion made by a simple pendulum of length 50 cm is 1.42 seconds.

Period can be defined as the time taken for a body to complete one revolution.

To calculate the length of the period of the motion, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the period of the motion is 1.42 seconds.

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Hi there!

We know that:

I = mΔv = F · t

We are given that:

Δv = 2 m/s

m = 1,500 kg

F = 600 N

Solve for t:

mΔv = Ft

mΔv/F = t

Plug in values:

(1,500)(2)/600 = 5 sec

Two lenses, one converging with a focal length of 10.0 cm and one diverging with a focal length of -5.0 cm, are placed 13.0 cm apart, the position of the final image formed is mathematically given as

u=70.645

Generally, the equation for the convex lens is mathematically given as

I/f=1/u-1/v

Therefore

1/20=1/u-(1/-61)

u=29.76cm

In conclusion, For concave lens

1/-10=1/u-1/8.76

u=87.6/1.2

u=70.645

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Answer:

Explanation:

The horizontal velocity is 1.61.

The thermosphere has the highest temperature of any layer in Earth’s atmosphere.

The term troposphere is the region that is found  12 to 50 kilometers from Earth’s surface. This region is found to be the region where you can find a lot of gases.

Both the Troposphere and the stratosphere  get colder as altitude increases. However, the ozone in the stratosphere  protects people from ultraviolet (UV) radiation.

The thermosphere has the highest temperature of any layer in Earth’s atmosphere.

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Mass of the second object located at a distance r from the origin, r^ is the unit vector in the radial direction, and the negative sign indicates that the force

The System can refer to a set of interacting or interdependent components forming an integrated whole. The term can be applied to various fields, including physics, engineering, biology, and social sciences, among others. In physics, a system typically refers to a collection of objects or particles that are studied together, often with the goal of understanding the behavior of the system as a whole. In engineering, a system can refer to a group of components that work together to perform a specific function, such as an electrical power grid or an automobile engine. In biology, a system can refer to an organism or group of organisms that interact with their environment, such as an ecosystem or the human body.

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An electric iron is marked 120 volts and 500 Watts. The units consumed by it in using it for 24 hours can be calculated using the formula:Power (in watts) = Voltage (in volts) x Current (in amperes)P = V x I

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Rate of change of mechanical energy of damped oscillation, dE/dt = -bv² is proven.

Damped oscillation is the type of oscillation during which the amplitude of the oscillation decreases with time. Damped oscillation occurs due to dissipating forces like resistance, viscosity, etc

Here,

1. (a) Total energy for a damped oscillation is,

       E = 1/2 mv² + 1/2 kx²

    Taking derivatives with respect to time,

      dE/dt = 1/2m 2v(dv/dt) + 1/2k 2x(dx/dt)

      dE/dt =mav + kxv

      dE/dt = v(ma + kx)

  We know, for a damped oscillation, the restoring force, F = -bv

  So, dE/dt = v(-bv)

  Therefore, dE/dt = -bv²

(b) m = 0.4 kg

    k = 300 N/m

i) Frequency, f = (1/2\(\pi\)) [√(k/m) - (b²/2m)]

      f = 4.056 s⁻¹

ii) For critically damped oscillation,

   b = √4mk = √4x 0.4x 300

   b = 21.9 kg/s

2. F = 120 N

   m = 700 kg

   v = 1 m/s

(a) F = -bv

    b = F/v = 120/1

    b = 120 kg/s

(b) x = 2 m

    F = 450 N

i) F = kx

 k = F/x = 450/2

 k = 225 N/m

ii) A = A₀ e⁻λt     where λ = b/2m

  A = A₀/100

  A₀/100 = A₀ e⁻λt

    e⁻λt = 10⁻²

     λt = 2

      t = 2/λ = 4m/b = 4x 700/120

      t = 23.3 s

(3) λ = 4m

    v = 16 km/h = 4.44 m/s

   f = v/λ = 4.44/4

   f = 1.11 s⁻¹

We know that, f = 1/\(2\pi\) √(k/m)

On squaring,

  k = mf²4\(\pi\)²

  k = 1000x 1.11²x 4\(\pi\)²

  k = 48.56x 10³

We know,

  F = kx

  mg = kx

  x = k/mg = 48.56x 10³/(1200 + 320)9.8

  x = 3.26 m

After unloading,

  x' = 48.56x 10³/(1200x 9.8)

  x' =  4.13 m

So,

   ΔX = x' -x = 0.87 m

Hence,

Rate of change of mechanical energy of damped oscillation, dE/dt = -bv² is proven.

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The final volume of the gas, when the pressure changes from 80.8 kPa to 101.3 kPa at constant temperature, is approximately 652.9 cm³.

To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.

Boyle's Law can be represented by the equation: P₁V₁ = P₂V₂

Where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.

Given:

Initial volume, V₁ = 817 cm³

Initial pressure, P₁ = 80.8 kPa

Final pressure, P₂ = 101.3 kPa

We need to find the final volume, V₂.

Using Boyle's Law equation, we can rearrange it to solve for V₂:

V₂ = (P₁V₁) / P₂

Plugging in the given values:

V₂ = (80.8 kPa * 817 cm³) / 101.3 kPa

Simplifying the expression:

V₂ ≈ 652.9 cm³

Therefore, the final volume of the gas, when the pressure changes from 80.8 kPa to 101.3 kPa at constant temperature, is approximately 652.9 cm³.

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The magnetic field  lines forms closed loops where as electric  lines won't form closed loops. This is because for magnetic poles source and Sink lies at lame point means we cannot able to Separate Nortn and South poles. where as positive & negative charges can be separated

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The work done to separate the plates of the parallel plate capacitor that's charged to a 0.00967 C is 2864.5 J

U = 1 / 2 C V²

U = Initial energy

C = Capacitance

V = Electric Potential

Q = Charge

C\(_{i}\) = 5.13 μ F

Q\(_{i}\) = 9.67 m C

C\(_{f}\) = 1.27 μ F

As the capacitor is isolated, there'll be no further current flow and charge will remain constant.

Q\(_{f}\) = Q\(_{i}\) = 9.67 m C

Q = C V

Q² = ( C V )²

U\(_{i}\) = 1 / 2 * C\(_{i}\) * V\(_{i}\)²

U\(_{i}\) = 0.5 * ( C\(_{i}\) * \(V_{i}\) )² / C\(_{i}\)

U\(_{i}\) = 0.5 * Q\(_{i}\)² / C\(_{i}\)

U\(_{i}\) = 0.5 * ( 9.67 * \(10^{-3}\) / 5.13 * \(10^{-6}\) )

U\(_{i}\) = 942.5 J

U\(_{f}\) = 1 / 2 * C\(_{f}\) * \(V_{f}\)²

U\(_{f}\) = 0.5 * ( C\(_{f}\) * \(V_{f}\) )² / C\(_{f}\)

U\(_{f}\) = 0.5 * Q\(_{f}\)² / C\(_{f}\)

U\(_{f}\) = 0.5 * ( 9.67 * \(10^{-3}\) / 1.27 * \(10^{-6}\) )

U\(_{f}\) = 3807 J

W = U\(_{f}\) - U\(_{i}\)

W = 3807 - 942.5

W = 2864.5 J

Therefore, the work done to separate the plates of the parallel plate capacitor is 2864.5 J

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Usually, we use sampling when a population is hard to study, for some reason.

Sampling is a technique commonly employed in research and statistics when it is impractical or impossible to study an entire population directly. It involves selecting a subset, or sample, from the population and using the information gathered from the sample to make inferences about the entire population. This is done with the assumption that the sample is representative of the population and that the findings from the sample can be generalized to the larger population.

There are several reasons why a population might be difficult to study comprehensively. One reason is the size of the population. For example, if the population of interest is the entire world or a country, it would be practically impossible to study each individual in the population due to logistical constraints and limited resources. In such cases, sampling allows researchers to gather information from a smaller, manageable subset of the population.

Another reason for using sampling is when the population is dispersed or geographically scattered. If the population is spread out across a wide area, it can be challenging and costly to reach and collect data from every individual. Sampling allows researchers to select representative individuals or clusters from different regions, making data collection more feasible.

Additionally, there are cases where the population is inaccessible or hard to reach due to privacy concerns or ethical considerations. For example, if the population consists of individuals with certain medical conditions or sensitive personal information, it may be challenging to obtain consent or access to the entire population. In such cases, researchers can use sampling methods to obtain data from a subset of individuals who are willing to participate and meet the necessary criteria.

In summary, sampling is a valuable tool when studying populations that are hard to access, too large, or dispersed. It allows researchers to gather relevant data from a representative subset of the population and make valid inferences about the larger population, despite the challenges posed by studying the population as a whole.

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The question probable may be:

Usually, we use                  when a population is hard to study, for some reason.

Explanation:

Power = Work done ÷ Time

P = 28056 ÷ 45 Watt

P = 623.46 Watt

Change in speed = (acceleration) x (time)

4 minutes = 240 seconds

Change in speed = (40 m/s²) x (240 seconds)

Change in speed = 9,600 m/s

What you're actually describing here is a car pulling 4 G's for 4 minutes, and ending up going 21,475 miles per hour.

The driver would definitely NOT get a speeding ticket, because nobody could catch him.

Also, his car would heat up and shoot flames from atmospheric friction.

(He could avoid this with some fancy steering, leave the atmosphere, and end up in low-Earth-orbit.)

Actually, I hope there's nobody in the car.  His experience wouldn't be pretty.

Answer:

Magnetism is a physical phenomenon that manifests itself in a force acting between magnets or other magnetized or magnetisable objects, and a force acting on moving electric charges, such as in current-carrying cables. The force action takes place by means of a magnetic field, which is generated by the objects themselves or otherwise. There are natural and artificial magnets. All magnets have two poles called the north pole and the south pole. The north pole of one magnet repels the north pole of another magnet and attracts the south pole of another magnet; the same with south poles.  

Psychology is a science because it makes use of scientific method such as observation, asking question, making prediction, etc to study the mind and behavior.

Psychology is the scientific study of mind and behavior.

The different types of Psychology include;

So we can conclude that Psychology is science because it uses scientific method to study the mind and behavior.

Scientific method entails the process of observing, asking questions, and seeking answers through tests and experiments is not unique to any one field of science.

The characteristics of scientific method include;

Psychology applies such scientific method to arrive to a conclusion, hence we can conclude that Psychology is a science.

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Answer:

Total time taken(T) = 1.1 hour

Distance = 75.68 km

Explanation:

Given:

Average speed = 68.8 km/h

Constant speed = 98.5 km/h

Rest time = 20 min = 20 / 60 = 0.3333 hour

Find:

Total time taken(T)

Total distance (D)

Computation:

Distance = speed × time

D = 68.8 × t.........Eq1

and

D = 98.5 × [t-0.33]

D = 98.5 t - 32.8333.........Eq2

From Eq1 and Eq2

68.8 t = 98.5 t - 32.83333

29.7 t = 32.83333

t = 1.1

Total time taken(T) = 1.1 hour

Distance = speed × time

Distance = 68.8 × 1.1

Distance = 75.68 km

Explanation:

solid have a definite shape because molecules are compact and vibrate around a fixed position but liquids flow because because molecules are loose and move about freely or without restrain

Answer:

here is my theory

Explanation:

solids have molecules which are totally intact and can't be taken apart unless it's done by hand or by tool on the other hand liquids are not intact at all and has no molecule's together.

Answer:

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 100 × 4

We have the final answer as

Hope this helps you

Answer:

ac = ω²R = 3.5²(1.5) = 18.375 ≈ 18 m/s²

Repeated rhythmic pattern best describes the introduction to Imperial March, heard in this excerpt.

It first appeared in the second movie, The Empire Strikes Back, also is known as the leitmotiv, a recurring motif connected to certain people or incidents in a play. The Imperial Motif, a motif for the Empire that appeared in the previous movie, is replaced by the Imperial March in the sequel.

The influx of minor chords, especially those that nearly sound normal, conveys the idea of a deeply deviant, malevolent worldview. For fun, I transposed these warped chords in the song down a semitone so you could hear how the march will sound with the more traditional chords.

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4.24 meters is the Johns displacement.

The modification of an object's position is referred to as displacement. It is a vector quantity with a direction and magnitude. It is depicted as an arrow that moves from the starting point to the ending. For instance, if an object moves from position A to position B, its position changes.

(8m west) + (3m south) + (8m east) + (10m north) =

[ (2m west)+(8m east) ] + [ (3m south)+(10m north) ] =

[ (-2m east)+(4m east) ] + [ (-3m south)+(10m south) ] =

(2m east) + (7m south)

The North/South component and the East/West component are the orthogonal (perpendicular) components of the displacement that we currently have.

To combine these, it's time for Pythagoras:

Displacement = √[ (2m)² + (7m)² ]

Displacement = √ (4m² + 14m²)

Displacement = √18m²

Displacement = 4.24 meters Southeast.

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The change in position of an object over time is known as velocity. The thing in question is traveling correctly. Vector c has the largest magnitude of all the vectors. And as demonstrated, a half-arrow can be used to represent this vector.

Everything that is readily apparent or palpable and has a stable form. An object of study in medicine is anything, anyone, or anything to which action or thinking is focused.

A person or thing that the verb directs its action toward is called an object. A noun, pronoun, or noun phrase that is impacted by the action verb is referred to as an object. A sentence is also finished by it.

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Answer:

a) 24525 Newtons

b)240590.25 Joules

c)4009.8375 Watt

d)294300 Joules

Explanation:

a) Weight is a force, and can be calculated by multiplying mass by acceleration due to gravity. Earth's acceleration due to gravity is 9.81m/s/s. To find the water's weight, we multiply its mass (2500) by acceleration due to gravity.

W=mg

=(2500)(9.81)

=24525 Newtons

b) Work is calculated by multiplying force by distance. In this case, the force is the weight (as found in part a) and the distance is 16m.

W=fd

=(24525)(9.81)

=240590.25 Joules

c) Power is calculated by dividing the work by the time. In this case the work is our answer for part b and the time is sixty seconds.

P=w/t

=240590.25/60

=4009.8375 Watt

d) The first bit of part d tells us that (the waters potential energy)(0.75)=(electric energy). To find potential energy, multiply mass by acceleration due to gravity by height.

PE=mgh

=2500*9.81*16

=392400 Joules

Multiply by 0.75 to find electric energy: 294300 Joules

Answer:

573.3J

Explanation:

P.E=mgh

P.E=4.5x9.8x13

P.E=573.3J