What is the angle of rotation (in degrees) between two hands of a clock if the radius of the clock is 0.70 m and the arc length separating the two hands is 1.0 m?

The height of the 0.0050 Kg bullet 4 s after firing is 78.4 m

We'll begin by listing the given parameters from the question. This is given below:

The height of the bullet after 4 s can be obtained as follow:

h = ½gt²

h = ½ × 9.8 × 4²

h = ½ × 9.8 × 16

h = 4.9 × 16

h = 78.4 m

From the calculation made above, we can conclude that the the height of the bullet after 4 s of firing is 78.4 m

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The speed required would be 60 m/s to throw a ball straight up and the ball goes 180 meters high.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

t = 6 sec for the first path, which is when the ball is elevated to its highest point.

Neglect air resistance.

So, v = u + at

Here, v = 0

⇒ u - 10 × 6 = 0

Hence, u = 60 m/s

Now, s = ut + 1/2×a×t²

So, s = 60× 6 - 0.5 × 10 × 36 = 360 – 180 = 180 m

Therefore, the speed required would be 60 m/s to throw a ball straight up and the ball goes 180 meters high.

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The tension in the high wire strung between two buildings due to weight of Arlene is equal to 2879 newton.

A free body diagram or known as FBD is a diagrammatic representation of all the forces acting on the body at the moment without taking into consideration the surrounding of the object.

Tension is a vector quantity which is a manifestation of force in string or wire a tension is always a pulling force.

Given:

Mass of the lady = 51 kg

Acceleration due to gravity= 9.8 u

Distance between the two buildings= 13m

The given situation is an example of balance force in which the sin component of the tension in the high wire is balancing the weight of the lady

Weight of the lady = m × g

Where,

T is tension in the high wire

m the mass of the lady

g is acceleration due to gravity

Weight of the lady = 51 × 9.8

Weight of the lady = 499.8

According to the question-

T × sin 10° = m × g

T × 0.1736 = 499.8×9.8

T = 2879 newton

Therefore, The tension in the high wire strung between two buildings due to weight of Arlene is equal to 2879 newton.

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The minimum horizontal velocity required for an object to orbit the earth just above the surface is 5.04 x 10¹⁰ m/s.

The orbital speed of Earth or a natural satellite is the speed at which it orbits around the center of the system.

The minimum horizontal velocity required for an object to orbit the earth just above the surface is calculated as follows;

V(min) = √GMR

where;

Substitute the given parameters and solve for the minimum orbital speed of the earth.

V(min) = √(6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 6.38 x 10⁶)

V(min) = 5.04 x 10¹⁰ m/s

Thus, the minimum horizontal velocity required for an object to orbit the earth just above the surface is 5.04 x 10¹⁰ m/s.

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The amount of energy transferred by the force for the movement of an object is called work or work done.

Work:

Work is the force applied due to which it can travel distance. In physics the work done is defined as if a body exerts a force on an object and the objects travel some distance due to this force then it is called work. However in our daily life if we take a book while standing, so we think that we done a work but it can not be work in physics.

The formula of the work is;

W=Fs

Energy:

Energy is defined as the ability of the body to do work is known as energy. Its meaning is very simple and easy energy is just like the force that causes things to move.

Further the energy is divided into two parts kinetic energy and potential energy.

The formula of energy is  E = mc2, which is developed by the  Albert Einstein.

Relation Between Work And Energy:

We can transferred the energy to an object for moving it. The transferring energy maybe in the form of force. This amount of energy transferred by the force to move an object is called work or work done.

So we can conclude that the amount of energy transferred by the force for the movement of an object is called work or work done.

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The time it takes the car to cover the distance is 0.45 seconds

Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

To calculate the time it takes the car to cover the distance, we need to find the final velocity first using the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 2

Finally, to calculate the time, we use the formula below.

Hence, the time it takes the car to cover the distance is 0.45 seconds.

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Answer:

20 seconds

360 meters

Explanation:

On a distance-time graph:

Therefore:

Convert Bus A's given speed of 54 km/h into m/s by dividing by 3.6:

[tex]\implies \sf 54\; km/h=\dfrac{54}{3.6}=15\:m/s[/tex]

Therefore:

So the y-intercept is (0, 60) and the gradient is 15.

Substitute this information into the slope-intercept form of a linear equation to create an equation representing the motion of Bus A:

[tex]\boxed{y=15x+60}[/tex]

Convert Bus B's given speed of 36 km/h into m/s by dividing by 3.6:

[tex]\implies \sf 36\; km/h=\dfrac{36}{3.6}=10\:m/s[/tex]

Therefore:

So the y-intercept is (0, 160) and the gradient is 10.

Substitute this information into the slope-intercept form of a linear equation to create an equation representing the motion of Bus B:

[tex]\boxed{y=10x+160}[/tex]

To find the time when Bus A is at the same position as Bus B, substitute Bus A's equation into Bus B's equation and solve for x:

[tex]\implies 15x+60=10x+160[/tex]

[tex]\implies 15x+60-10x=10x+160-10x[/tex]

[tex]\implies 5x+60=160[/tex]

[tex]\implies 5x+60-60=160-60[/tex]

[tex]\implies 5x=100[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{100}{5}[/tex]

[tex]\implies x=20[/tex]

Therefore, the two buses are at the same position 20 seconds after they start moving.

To find their position at this point, substitute x = 20 into one of the equations and solve for y:

[tex]\implies y=10(20)+160[/tex]

[tex]\implies y=200+160[/tex]

[tex]\implies y=360[/tex]

Therefore, the two buses are at the same position at 360 m from the origin.

Bus A overtakes Bus B 20 seconds after they start moving and at 360 m from the origin.

a. The magnitude of the electric force on the bead is 1.0545 × 10⁻⁵ N  and its direction is to the right.

b. The work done on the bead is  2.025 × 10⁻⁶ J

c.  The change in electric potential energy (in J) as the bead moves from A to B is  -2.025 × 10⁻⁶ J

d. The potential difference (in V) between A and B is -60 V

The magnitude of the electric force on the charge is given by F = qE where

So, substituting the values of the variables into the equation, we have

F = qE

F = 37.0 × 10⁻⁹C × 285 N/C

= 10545 × 10⁻⁹ N

= 10.545 × 10⁻⁶ N

= 1.0545 × 10⁻⁵ N

Since the electric field is pointing to the right and the charge is positive, so, the direction of the electric force is to the right.

So, the magnitude of the electric force on the bead is 1.0545 × 10⁻⁵ N  and its direction is to the right.

The work done on the bead by the electric force is W = Fd where

So, substituting the values of the variables into the equation, we have

W = Fd

= 1.0545 × 10⁻⁵ N  × 0.192

= 2.02464 × 10⁻⁶ J

≅ 2.025 × 10⁻⁶ J

So, the work done on the bead is  2.025 × 10⁻⁶ J

From work-energy principles, the work done by the bead, W equal the change in electric potential energy of the bead ΔU.

ΔU = -W

Since W = 2.025 × 10⁻⁶ J

ΔU = -W

= -2.025 × 10⁻⁶ J

So, the change in electric potential energy (in J) as the bead moves from A to B is  -2.025 × 10⁻⁶ J

The potential difference between A and B is given by ΔV = ΔU/q where

So, substituting the values of the variables into the equation, we have

ΔV = ΔU/q

ΔV =  -2.025 × 10⁻⁶ J/37.0 × 10⁻⁹C

= -0.06 × 10³ V

= -60 V

So, the potential difference (in V) between A and B is -60 V

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1. The potential energy of the pomegranate is 282.24 J

2. The potential energy of the melon is 250.88 J

3. The pomegranate has more potential energy

This is the energy possesed by an object by virtue of it's position. It is expressed mathematically as

Potential energy (PE) = mass (m) × acceleration due to gravity (g) × height (h)

PE = mgh

With above formula, we can determine the potential energy as follow:

1. How to determine the potential energy of the pomegranate

PE = mgh

PE = 0.3 × 9.8 × 96

PE = 282.24 J

2. How to determine the potential energy of the melon

PE = mgh

PE = 0.8 × 9.8 × 32

PE = 250.88 J

From the calculations made above, the pomegranate has more potential energy.

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Electric and magnetic fields are mathematical representations of Maxwell's equations

Maxwell's equations, in their broadest sense, can be expressed as

∇ · E = ρ (gauss law)

∇ · B = 0 (Gauss' law of magnetism)

∇ x E = -(∂B/∂t) (Faraday's law of induction)

∇ x H = J + ∂D/∂t (Ampère's law)

The free electric charge density is denoted by in the first equation. J is the free current density in the final equation.

The four equations that make up Maxwell's equations explain how magnetic and electric fields behave and interact. They ultimately show that magnetic and electric fields are only two different expressions of the same event

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Electric and magnetic fields are mathematical representations of Maxwell's equations

A mathematical representation of electromagnetic wave is given by the two equations E = E cos (kx - wt) and B=B cos(kx-ot), where is the amplitude of the electric field and B is the amplitude of Othe magnetic field

Maxwell's equations, in their broadest sense, can be expressed as

∇ · E = ρ (gauss law)

∇ · B = 0 (Gauss' law of magnetism)

∇ x E = -(∂B/∂t) (Faraday's law of induction)

∇ x H = J + ∂D/∂t (Ampère's law)

The free electric charge density is denoted in the first equation. J is the free current density in the final equation.

The four equations that makeup Maxwell's equations explain how magnetic and electric fields behave and interact. They ultimately show that magnetic and electric fields are only two different expressions of the same event

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Answer:

They will land at the same time

Explanation:

Because of no air resistance in space, The feather and coin both have a will drop and land at the same time. This was proven when the feather and hammer test was conducted on the moon by the first astronauts on the moon.

Answer:

Sound waves/vibrations move matter in the form of air particles

Explanation:

Sound waves/vibrations move matter in the form of air particles which is how sound propagates, so that could be an exception to the rule. However, you could say water waves move matter too.

The speed of 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours and 30 minutes is 5.714 miles/hr.

Speed is defined as the rate of change of distance travelled with respect to time. Mathematically -

s = Δd/Δt

Given in the question is a 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours and 30 minutes. From this we can write-

Distance [d] = 100 miles

Time [t] = 17.5 hours

Mzwakhe Khanyile started running from d = 0 miles at time t = 0 hr.

The speed of Mzwakhe Khanyile will be -

s = Δd/Δt

s = (100 - 0)/(17.5 - 0)

s = 100/17.5

s = 5.714 miles/hr

Therefore, the speed of 36- year-old South African Mzwakhe Khanyile who ran 100.0 miles in 17 hours and 30 minutes is 5.714 miles/hr.

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The voltage produced by the first battery is 0.32 volt greater when compared to the voltage produced by the second battery

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

We can obtain how great the voltage of the first battery is compared to the voltage if the second battery as follow:

How great is the voltage of first = Volatge of first - voltage of second

How great is the voltage of first = 3.12 - 2.8

How great is the voltage of first = 0.32 volt

Thus, the voltage of the first battery is greater than the voltage of the second battery by 0.32 volt

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An object in motion tends to stay in motion in an object in rest tends to stay in rest. "many years before newton wrote this law, Galileo's the same idea as the principle of inertia.

This is further explained below.

Generally, When an item experiences inertia, it keeps moving in the same direction or at the same pace until another force changes it.

The phrase "the principle of inertia" as it is used in Newton's first rule of motion is correctly interpreted as the word "inertia."

In conclusion,  The concept of inertia was first proposed by Galileo many years before Newton codified it as "an object in motion tends to remain in motion whereas an object in rest tends to stay in rest."

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Answer:

32.7 m

Explanation:

If it is in the air for 5.16 s    the highest point is at one-half of this time

  =   5.16/2 = 2.58 s    <====== at this point velocity = zero

vf = vi + at

0 = vi - 9.8 (2.58)      shows vi = 25.3 m/s

d = vi t  + 1/2 at^2

 = 25.3 (2.58) - 1/2 (9.8) (2.58^2 )   = max height = 32.7 meters

The displacement of the box is obtained as 13.48 m along the horizontal surface.

Let us recall that the displacement is the distance covered in a specific direction. The displacement is a vector quantity because it has both magnitude and direction.

In this case, we want to obtain the displacement of the box when;

Initial velocity u = 6.50 m/s

final velocity v =  13.0 m/s

Acceleration a = 4.70 m/s2

Now;

v^2 = u^2 + 2as

s = v^2 -  u^2 /2a

s = (13)^2 - (6.5)^2/ 2 (4.70)

s = 126.75/9.4

s = 13.48 m along the horizontal surface

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The mass of the child is 33.26 kg.

Mass can be defined the quantity of matter a body contained.

The S.I unit of mass is kilogram (kg)

To calculate the mass of the  child, we use the formula below.

Formula:

Where:

Make m the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the mass of the child is 33.26 kg.

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The final velocity of the truck is determined as 13.2 m/s.

The final displacement of the truck is determined as 183.6 m.

The velocity of the truck after 12 seconds is calculated as follows;

v = u + at

where;

v is the final velocity of the truck after 12 seconds

u is the initial velocity of the truck

t is the time of motion

a is the acceleration of the truck

v = 0 + 2.3(12)

v = 27.6 m/s

The velocity of the truck after 9 seconds is calculated as follows;

v = u + at

where;

v = 27.6 m/s   +  (-1.6)(9)

v = 13.2 m/s

v² = u² + 2as

13.2² = 27.6² + 2(-1.6)s

174.24 = 761.76 - 3.2s

3.2s = 761.76 - 174.24

3.2s = 587.52

s = 587.52/3.2

s = 183.6 m

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Writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online (option B).

A journal is a newspaper or magazine dealing with a particular subject.

A journal is an efficient medium to communicate the findings or results of an investigation to the public.

However, a journal can be virtual (online) or paper (hard copy). In this 21st century, it is easier to communicate to the masses online because more audience will be captured.

Therefore, writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online.

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Answer: D? nutrients?

Explanation:

Answer:

B. Fish feed

Explanation:

five main inputs to the system are:

water

oxygen

light

feed

electricity

acquaponic system is:

fish make waste->

worms make waste into fertilizer->

fertilizer is for plants->

plants filter the water for the fish

wikipedia

teslas for sustainable society

One real-world application of the relationship between distance, average speed and time is calculating the mileage of a car.

Depending on your goals, you may walk more quickly or slowly when you are moving. Depending on the amount of traffic, you might drive your car at 50, 65, or even 5 miles per hour. Your instantaneous speed, or speed at that precise moment or location, is what you can see on the speedometer.

It can be used in many different ways in daily life. In navigation, it is utilized. The distance formula is used by a pilot to determine how far apart their plane is from the other plane. They locate the plane's coordinate before using the distance formula to calculate the distance.

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The skater’s average velocity is determined as 0.125 m/s.

The skater's average speed is determined as 0.25 m/s.

The average velocity of an object is the rate of change of total displacement with time of motion.

average velocity = total displacement / total time of motion

total displacement of the skater = final position - initial position

total displacement of the skater = 60 m - 0 m = 60 m

total time of motion = (8 mins) x (60 s / mins) = 480 seconds

average velocity = 60 m / 480 s

average velocity = 0.125 m/s²

The average speed of an object is the ratio of total distance to total time of motion.

average speed = total distance / total time

average speed = (60 m + 30 m + 30 m) / 480 s

average speed = 0.25 m/s

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The scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.

A chemical change is any process in which reactants are changed into products by the breaking or creation of chemical bonds.

In a chemical change, the chemical bonds in the reactants are broken and rearranged to form new substances called products. One of the evidences that a chemical change has occurred is gas evolution.

According to this question, a student adds baking soda to vinegar and observes that a large amount of gaseous carbon dioxide is released.

Therefore, it can be said that the scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.

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Answer:

KE= 1,536,000,000 Joules

Explanation:

The equation to find Kinetic Energy (KE) is

[tex]KE=\frac{1}{2}mv^{2} \\[/tex]

You are given

m=480,000.0 kg

v= 80 m/s

Substitute the values into the equation and solve for KE

[tex]KE= \frac{1}{2}* 480000*80^{2}[/tex]

KE= 1,536,000,000 Joules

Answer:

They can be hunted, captured, and taken anytime in the United States without a permit.

Explanation:

Pigeons are not considered game birds.

A ball is dropped from the second floor and falls then the ball's velocity is positive  and acceleration is negative.

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This is true, A common practice used by IT professionals to ensure web safety is to conduct regular training sessions with users to remind them of the threats that exist on the web.

What is information technology?

Information technology (IT) is the activity of using computers to generate, process, store, retrieve, and exchange different kinds of data and information. IT is typically employed in the context of business activities, as opposed to personal or recreational technology. IT is a component of information and communications technology (ICT). An information technology system (IT system) is often an information system, a communications system, or—to be more precise—a computer system, replete with all add-on hardware, software, and peripherals, that is used by a sparsely populated IT user base.

Internet safety is the activity of adhering to practical standards, comprehending contemporary technology, and safeguarding your electronic gadgets so you can fight off the bad elements of the online world. the sessions about internet safety or web safety is commonly taken by IT professional for the users.

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The vector arrow representing an acceleration of magnitude 3 m/s² and different from vector arrow representing a negative acceleration of magnitude 3 m/s² so they are perpendicular forming a 90-degree angle between each other. Hence, option C is correct.

A vector has both magnitude and direction. It is frequently depicted as an arrow with a length proportionate to the magnitude and a direction matching the magnitude of the quantity. A vector lacks position, but possesses magnitude and direction. In other words, if a vector is shifted parallel to itself, its shape remains unchanged as long as its length remains constant.

According to the question,

The acceleration of magnitude 3 m/s² and different form the vector arrow representing a negative acceleration of magnitude 3 m/s².

Hence, they are perpendicular, forming a 90-degree angle between each other.

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Answer:

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

Explanation: