A falling object with a mass of 2.55 kg encounters 4.0 N of air resistance. What is the acceleration of the object? (Choose up to be the positive direction, and remember the definition of weight).

The final angular speed of the system that contains a solid, horizontal cylinder of mass 12.2 kg and radius 1.00 m rotates with an angular speed of 5.50 rad/s about a fixed vertical axis through its center is 5.33 rad / s

Let M and R be mass and radius of the cylinder. Let m and r be mass and distance of piece of putty.

M = 12.2 kg

R = 1 m

ω = 5.5 rad / s

m = 0.25 kg

r = 0.9 m

According to law of conservation of angular momentum,

1 / 2 M R² ω = ( 1 / 2 M R² + m r² ) ω'

1 / 2 * 12.2 * 1 * 5.5 = [ ( 1 / 2 * 12.2 * 1 ) + ( 0.25 * 0.9² ) ] ω'

ω' = 33.55 / 6.3

ω' = 5.33 rad / s

Therefore, the final angular speed of the system is 5.33 rad / s

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In the article the study author recommends going on a photo hunt and the purpose of this activity is Becoming more assertive.

The reason why the author gave the recommedation about going for the photo hunt is that the activity can bring about assertiveness which has not been seen in the participants before.

It should be noted that with the assertion, there will be display of  confident as well as  forceful personality as they are taking part in the photo hunt, because it involves the activity whereby the participants will be competing with themselves in the collection of the greatest number of objects which is been goteen from the predetermined list.

In conclsion, the recomedation about going to the photo hunts by te author was made so that they can become more assertive.

Therefore , the last option is correct.

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The acceleration of the boxcar is 5.586m/s².

We refer to any process where the velocity changes as acceleration. You can only accelerate by changing your speed, direction, or both since velocity is a function of both speed and direction.

Positive acceleration is a property of objects that are accelerating and moving in the right direction. In the first illustration, positive acceleration was demonstrated by the moving car. The acceleration is occurring in the same direction that the vehicle is moving forward and accelerating.

θ = ma/mg

tanθ = a/g

a = tanθ g

a = tan 30×9.8

a = 0.57×9.8

a = 5.586m/s².

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The force exerted on the body is 12.66 N.

Linear momentum, translational momentum, or clearly momentum is the made of the mass and velocity of an item. it's miles a vector amount, possessing significance and a path. If m is an object's mass and v is its speed.

Given;

mass = 2 kg

height = 8m

bounce height = 2 m

let velocity just before striking the floor is initial velocity 12.65 m/s

the potential energy at 8 m = mgh

                                        = 2 ×10× 8

                                        = 160 J

same converted into kinetic energy 160 J = 1/2 mv²

                                                               V² = 320/2

                                                                v = 12.65 m/s

Final velocity

mgh = 1/2 mv²

2×10×2 = 1/2×2 × v²

v² = 6.32 m/s

Acceleration = change in velocity per unit of time

                      = - 6.32 - (-12.65)  = 6.33 m/s² / 0.1

Force = mass × acceleration

          = 2 ×  6.33 m/s²

           = 12.66 N

Momentum may be described as a mass in motion. All objects have mass; so if an object is transferring, then it has momentum - it has its mass in movement. the quantity of momentum that an item has depends upon variables: how an awful lot of stuff is moving and the way speedy the stuff is moving.

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The energy, E of the given waves are as follows:

a. Energy, E  = 6.63 * 10⁻²⁸ J

b. Energy, E  = 6.63 * 10⁻²⁴ J

c. Energy, E  = 1.99 * 10⁻¹⁶ J

d. Energy, E  = 4.97 * 10⁻¹⁹ J

e. Energy, E  = 2.84 * 10⁻¹⁹J

f. Energy, E = 1.99 * 10⁻¹⁶ J

The formula to calculate the energy of a wave s given below as follows:

where;

h is Planck's constant = 6.63 * 10⁻³⁴ Js

c is the velocity of light = 3.0 * 10⁸ m/s

λ is the wavelength of the light

The energies of the waves are calculated as follows:

a. λ = 3.0 x 10¹¹ nm or 3.0 * 10² m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10²

E = 6.63 * 10⁻²⁸ J

b. λ = 3.0 x 10⁷ nm or 3.0 x 10⁻² m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10⁻²

E = 6.63 * 10⁻²⁴ J

c. λ = 1 nm or 1.0 x 10⁻⁹ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m

E = 1.99 * 10⁻¹⁶ J

d. λ = 400 nm or 4.0 x 10⁻⁷ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 4.0 x 10⁻⁷ m

E = 4.97 * 10⁻¹⁹ J

e. λ = 700 nm or 7.0 x 10⁻⁷ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 7.0 x 10⁻⁷ m

E = 2.84 * 10⁻¹⁹J

f. λ = 1 nm or 1.0 x 10⁻⁹ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m

E = 1.99 * 10⁻¹⁶ J

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The gravitational force when the distance between them is halved is 40 N

Newton's law of universal gravity states as follow:

F = GM₁M₂ / r²

Where

Finding a relationship between force and distance, the following were obtained:

F = GM₁M₂ / r²

Cross multiply

Fr² = GM₁M₂

GM₁M₂ = constant

F₁r₁² = F₂r₂²

Now, we can obtain the new gravitational force of as illustrated below:

F₁r₁² = F₂r₂²

10 × r² = F₂ × (0.5r)²

10r² = F₂ × 0.25r²

Divide both side by 0.25r²

F₂ = 10r² / 0.25r²

F₂ = 10 / 0.25

F₂ = 40 N

Thus, the gravitaional force is 40 N

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The energy needed by a stove to transfer heat completely to 1 g of liquid water fro 1 °C to 25 °C is 100.37 J.

Energy is the ability or the capacity to do work.

To calculate the  amount of energy, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The energy required is 100.37 J.

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Taking into account the definition of calorimetry, the energy that a stove must transfer to completely heat 1 g of liquid water from 1 °C to 25 °C is 100.416 J.

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

When heat added or removed from a substance causes a temperature change in it without affecting its molecular structure, it is called sensible heat.

So, the expression that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

In this case, you know:

Replacing in the definition of calorimetry:

Q = 4.184 J/gC× 1 g× 24 C

Solving:

Q= 100.416 J

Finally, the energy needed is 100.416 J.

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It is evident from Isaac Newton's equation for universal gravitation that ANY TWO masses will act as an easily calculable attractive force on one another. Cavendish proved that this was accurate (for masses that he gathered in his shed).

The Cavendish experiment was the first to accurately determine the gravitational constant and the force of gravity between masses in a laboratory setting. Cavendish's work does not directly mention the gravitational constant due to the unit norms in use at the time. Instead, the outcome was initially stated as Earth's specific gravity, or alternatively, as Earth's mass. The first precise values for these geophysical constants came from his experiment.

Thus, by measuring the universal  gravitational constant though experiment,  Cavendish's experiment makes easy to calculate gravitational attraction force for minute objects also.

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Answer:

the gravitational attraction of each ball, so technically the others too lol

Explanation:

Gravity is the only force acting on an object in free-fall. According to Newton's second law, the force is equal to mg, so the mass is taken into account there.

The combination of a force's constituent acting inside the displacement's direction as well as its magnitude would be known as the work done mostly via force.

1) Work is done when an applied force produces mobility in a body.

Mathematically , Work = Force x displacement

2) Unit for energy is Joule.

3) Energy can be calculated by such as:

Work = F s

750 x 100 = 75000J would be transferred by engine if car moved a distance of 100m.

4)For the case of Rehana : 200 cm converted to 2m .

again using same concept , W=FS

50 x 2=100J of work done in raising the object.

Energy consumed = 700 J

Distance (Displacement) = 10 m

7) We know work done is also a type of energy which tells the energy consumed by anything in order to move a distance, We know

⇒ Work done = Force × Displacement

⇒ 700 = F × 10

⇒ F = 70 newton

Hence, The force exerted by the person as walked the distance is 70 newton.

6) For the hifza case:- 200N will take more height because it is lighter than 350N so we can do it upward and downward as it is lighter and the energy used is 1000J .

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Option D) 200 kg object at 2 m/s has the highest momentum.

What is momentum?

Momentum formula,                P = mv

p = momentum

m = mass \ velocity

The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilogram metre per second (kg m/s) is its SI counterpart.

A) 50 kg object at 5 m/s

m = 50 kg

v = 5 m/s

Momentum, p = m x v

                       = 50 x 5

                       = 250 kg m/s

B) 100 kg object at 10 m/s

m = 100 kg

v = 10 m/s

Momentum, p = m x v

                       = 100 x 10

                       = 1000 kg m/s

C) 150 g object at 5 m/s

m = 150 g

    = 0.15 kg

v = 5 m/s

Momentum, p = m x v

                       = 0.15 x 5

                       = 0.75 kg m/s

D) 200 kg object at 2 m/s

m = 200 kg

v = 2 m/s

Momentum, p = m x v

                       = 200 x 2

                       = 400 kg m/s

Hence, Option B has the highest momentum.

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Velocity of the object parameters would affect the fall if air drag is also considered.

Velocity can be defined as the rate at which that moves in a specific direction. as the velocity of a car driving north on a road or the pace at which a rocket takes off. Because the velocity vector is scalar, its integrand magnitude will always equal the motion's speed.

A moving object has a negative velocity when it is moving in the wrong direction. If an object is slowing down, its generate and evaluate is pointing away from the direction in which it is moving (in this case, a positive acceleration).

An object must move at a constant speed and direction in order to have a constant velocity. The object can only travel in a straight line if the direction is constant. So, motion in a single direction at a constant speed is defined as having a constant velocity.

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The correct answer is momentum of boy = 225 Kg. m /s

What is momentum?

Momentum is the product of the units of mass and velocity is the unit of Momentum.

To get the value the momentum,  formula: P=mv, where P is the momentum.

Given, total mass and boy = 45 Kg., Velocity = -5 m/s

Momentum = Mass x Velocity = 45 Kg.  x 5 m/s = 225 Kg. m / s

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The acceleration of the SUV during crash as the crumple zone is collapsing is 0.0063 m/s².

Acceleration is the ratio of the force on a body to the mass of the body.

To calculate the acceleration of the  SUV, we use the formula below.

Formula:

Where:

Make a the susbject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the acceleration of the SUV is 0.0063 m/s².

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An old sandwich rotting in a trashcan and building a tower out of magnetic blocks both are undergoing chemical changes.

Chemical changes are said to occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances.

Examples of chemical changes include burning of wood, cooking of pasta, rusting of metal , and rotting of sandwiches.

In conclusion, chemical changes involve the formation of new substances while Physical change is a temporary change.

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To achieve an increase in the current delivered in the USB 3.1 port, at a constant voltage, the several USB ports must be connect in parallel to each other. This will ensure an increase in current and constant voltage.

According to ohms Law the current flowing through an ohmic conductor is directly proportional to the voltage across the conductor.

V = IR

where;

I = V/R

To increase the current at a constant voltage, the resistance must decrease.

In a parallel circuit, the current flowing in each circuit component is different while the voltage drop in each circuit component is the same.

Thus, to increase the current delivered in the USB port, and maintain the initial voltage, the several USB ports must be connect in parallel to each other.

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The inner walls of veins and arteries can be affected by coronavirus infection, which can result in blood vessel inflammation, harm to extremely small vessels, and blood clots leading to the risks of cardiovascular diseases.

The mechanisms by which the COVID-19 pandemic might change trends in cardiovascular health have been the subject of numerous ideas. People with COVID-19 have a worse prognosis when they have established CVD and atherosclerosis cardiovascular disease risk factors.

Therefore, covid had a great impact on cardiovascular diseases and increased the overall disease rate.

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The person who threw the punch remains stationary, and their hand undamaged because the impulse received by the opponent is greater than the reaction force experienced by the person who threw the punch.

Newton's third law of motion states that for every action, there is an equal and opposite reaction. That is, action force and reaction force are equal and opposite.

Mathematically, the Newton's third law of motion can be stated as follows;

Fa = Fb

where;

In a barfight, when one person swings a punch with their bare hand and knocks another person over a table in spectacular fashion. The person who threw the punch remains stationary, their hand undamaged because the impulse received by the opponent is greater than the reaction force experienced by the person who threw the punch.

The force applied by the person who threw the punch maybe equal and opposite to reaction he received but the impulse experienced by the opponent is greater.

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The apple moves a height of  h = [tex]\frac{v^{2} }{50 g}[/tex] because of its collision with the dart.

we can calculate the height of an object using the distance and angle.

In order to calculate the height of an apple with mass M is hanging at rest from the lower end of a light vertical rope. A dart of mass M/4 is shot vertically upward, strikes the bottom of the apple, and remains embedded in it.

We first calculate the velocity that the final mass gets once the collision takes place, in order to do this, we use momentum conservation.

pi = Pf = (5/4)Mv

We get the value for the velocity of the final mass, v , once the collision has been produced.

Once we have pi, with this final velocity, we can calculate the final height that the mass will get, to do this we use energy conservation.

An instant after the collision, the mass has kinetic energy, and we say that that is our altitude zero, but when the mass gets to its higher altitude, the kinetic energy is zero and the potential energy is different than zero, and we will write as follows:

Ei = Ef =  (1/2) (5/4 M (V/5)²  =(5/4 M)g*h

Equating and solving for height, we will get as the apple moves a height of  h = [tex]\frac{v^{2} }{50 g}[/tex] because of its collision with the dart.

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The work done by a 20-newton force applied at an angle of 45.0° is 565.69 J.

Calculation:-

Force = 20 N

distance = 40 meters

angle = cos 45°

Work done = F.d cosθ

                 = 20×40 × 1/√2

                 = 800 / √2

                =  565.69 J

Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.

The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.

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Jovian planets are less dense than terrestrial planets.

The Jovian planets lack solid surfaces, in contrast to the terrestrial planets that make up our inner solar system—Mercury, Venus, Earth, and Mars. They are made mostly of hydrogen and helium instead, with minute amounts of other gases like methane, ammonia, water, and others in their atmospheres.

Terrestrial planets formed from metal and rock-based planetesimals, but they were ultimately too small to hold much of the solar nebula's rich hydrogen and helium gas. The Jovian planets, on the other hand, originated distant from the Sun where there were abundant ices and rocks.

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Kinetic energy will be 600J. According to law of conservation energy: All the energy in a system will simply change the state, and no more nor less energy will be created or lost during the operation of the system. In this case, then all 600J of energy will be transformed during the operation of car.

kinetic energy, Chemical compounds' bonds contain energy. Chemical reactions have the potential to release chemical energy, frequently in the form of heat; these kinds of reactions are referred to as exothermic. Some of the energy from reactions that need heat input to continue may be stored as chemical energy in newly formed bonds.

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The motional EMF produced by the rod is 5.474 × 10⁻⁶ V.

When no current is flowing, electromotive force (EMF) equals the terminal potential difference.

Despite the fact that both EMF and terminal potential difference (V) are expressed in volts, they are not the same thing. EMF is the quantity of energy (E) that the battery supplies to each coulomb of charge (Q) that passes through.

Given parameters:

The earth’s magnetic field; B= 3.5 × 10⁻⁵ T

The length of the rod; l = 0.23 m.

Speed of the rod; v = 0.68 m/s.

So, the motional EMF produced by the rod = Blv

= 3.5 × 10⁻⁵ × 0.23 × 0.68

= 5.474 × 10⁻⁶ V.

Hence, motional EMF produced by the rod is 5.474 × 10⁻⁶ V.

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Examples of following forces mentioned -

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The magnitude of the force is 12.73N.

What is force?

this can be defined as a push or pull in a particular direction. It is calculated using the formula:

F=m*a

Where,

m=mass of the object

a=acceleration

What is magnitude of force?

This is the quantity or strength of the force. It is calculated using the formular:

Normal Force, N=m*g*Cos θ

From the question given:

     m   =5.00kg

Cos θ= 30°

        g=9.8m/s²

Coefficient of Friction, μ=Frictional force/Normal force

                                        =F/N

coefficient kinetic friction, μ=0.300

Magnitude of Force F= Coefficient of Friction*Normal Force

                                   =μN

                                   =μmg Cos θ

                                 F= 0.300*5.00*9.8*Cos30°

                                 F=0.300*5.00*9.8*0.8660

The magnitude of Force,F=12.73N

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6923 N is the force on the string, Where g=9.8m/s, density of water=1g/cm³.​

volume=2πrh

volume= 942 cm³

density= mass/volume

mass=density× volume

mass=0.75g/cm³× 942 cm³

mass=706 kg

F= mg

F=706×9.8

F= 6923 N

Every action that attempts to maintain, modify, or change the motion of a body is referred to as a force in mechanics. In his Principia Mathematica, Isaac Newton frequently used his three laws of motion to demonstrate the concept of force (1687).

According to Newton's first law, a body will remain in either its resting or equally moving condition along a straight route in the absence of an external force. The second law states that when an external force acts on a body, the body accelerates (changing velocity) in the direction of the force.

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The maximum height reached by the cylinder at the given initial velocity is 0.2 m.

The maximum height travelled by the cylinder is calculated by applying the following kinematic equation as shown below.

v² = u² - 2gh

where;

At maximum height, the final velocity of the cylinder = 0

v² = u² - 2gh

0 = u² - 2gh

2gh = u²

h = u²/2g

h = (2²) / (2 x 9.8)

h = 0.2 m

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