the reaction to the force in part a is a force of magnitude , exerted on the by the . its direction is .

Answers

Answer 1

The reaction to the force in Part A is a force of magnitude 5 N exerted on the earth by the book. Its direction is upward.

What is Force?

Force may be characterized as a process involving pushing or pulling upon an object that significantly results from the object's interaction with another object. Whenever an interaction between two things, takes place, there is a force upon each of the entities.

According to the context of this question, the direction of the force on the first object is opposite to the direction of the force on the second object. Forces always come in pairs like equal and opposite action-reaction force pairs.

Therefore, the reaction to the force in Part A is a force of magnitude 5 N exerted on the earth by the book. Its direction is upward.

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Related Questions

what type of pressure is produced from the stones being pushed together?

Answers

Whenever heat and pressure change an original as well as parent rock together into completely different rock, a metamorphosed rock is produced. The parent rock may be a sedimentary or metamorphic rock.

How does pressure feel in real life?

Try pressing a bleeding bandage on some fruit to quickly show the concept of pressure. Fruit won't have their surface cut if the flat portion of the blades is pushed against it. The troops is extensively scattered over the region (low pressure).

Is pressure an energy?

The averaged velocity transfer for every unit area in units of time caused through molecular collisions here between confined gas as well as its boundary is what the kinetic theory with ideal gases defines as air pressure.

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the planet in the orbit shown in the drawing obeys kepler's laws. during which of the portions of the planet's orbit (a, b, c, or d) would the planet experience an increase in speed for at least a moment?

Answers

The planet experience an increase in speed for at least a moment as it approaches the sun.

What are Kepler laws?

The three laws of Kepler are -

The orbit of a planet is an ellipse with the Sun at one of the two foci.A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.The square of a planet's orbital period is proportional to the cube of the length of the semi - major axis of its orbit.

Given is the planet in the orbit shown in the drawing obeys Kepler's laws.

The planet moves faster when it is nearer the Sun and slower when it is farther from the Sun

Therefore, the planet experience an increase in speed for at least a moment as it approaches the sun.

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2
A simple circuit contains a battery and a resistor.
Over 3.0 hours, 29 000 C of charge passes through the resistor.
Calculate the current flowing through the circuit during this time.
Give your answer to two significant figures.

Answers

Answer:

Approximately [tex]2.69\; {\rm A}[/tex].

Explanation:

Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:

[tex]\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}[/tex].

Electric current [tex]I[/tex] is the rate of flow of electric charge.

In order to find the electric current, divide electric charge [tex]q[/tex] by the time [tex]t[/tex] required to transfer these charge. If charge [tex]q\![/tex] is measured in coulombs and time [tex]t\![/tex] is measured in seconds, the unit of current [tex]I[/tex]would be amperes:

[tex]\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}[/tex].

for a cooking appliance, the overall energy supplied to the appliance is 5 kwh and only 4 kwh is transferred to the food. what is the appliance's efficiency?

Answers

80%  is the appliance's efficiency

Why do appliances use less energy?

Among the several advantages of energy efficiency are: Environmental: Greater efficiency can reduce water use, greenhouse gas (GHG) emissions, and other pollutants. Economic benefits of energy efficiency improvements include reduced utility costs, job growth, and reduced price fluctuation of power.

Utilizing the formula below, efficiency may be represented as a ratio: Output ÷ Input. The total amount of beneficial work accomplished, excluding waste and spoilage, is known as output or work output. Efficiency can also be expressed as a percentage by dividing the ratio by 100.

Efficiency will be 4/5 *100 i.e. 80%

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when particles are interconnected by a cable, the motions of the particles are group of answer choices always independent always dependent not always dependent. none of the above

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The motions of the atoms are ____ when they are connected by a cable. A) Constant independence B) Constant dependence reliant, but not necessarily

What is the motion process?

The act of moving, changing location, or even merely changing position is referred to as motion. Every time something moves, a lot of elements come into play. If an object travels in a single direction at a constant speed, there are fewer variables at play. The majority of movement, however, involves varying the movement's speed and direction.

What makes motion different from terms?

Motion and Conditions The act of moving, changing location, or even merely changing position is referred to as motion. Every time something moves, a lot of elements come into play. If an object travels in a single direction at a constant speed, there are fewer variables at play.

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The ultrasonic transducer used in a medical ultrasound imaging device is a very thin disk (m = 0.10 g) driven back and forth in SHM at 1.0 MHz
by an electromagnetic coil.

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The mass of the ultrasonic transducer used in a medical ultrasound imaging device is 0.10 g and it is driven back and forth in simple harmonic motion (SHM) at 1.0 MHz. The frequency of 1.0 MHz means that the disk oscillates back and forth 1 million times per second. The disk's oscillations in SHM are crucial to the functioning of the medical ultrasound imaging device.

In a medical ultrasound imaging device, the transducer sends and receives high-frequency sound waves that are used to create images of internal organs, tissues, and blood flow. The motion of the transducer disk creates these sound waves, which then bounce off internal structures and return to the transducer, allowing for the creation of an image. The thin disk design of the transducer allows for a high frequency of oscillation, which results in higher-resolution images.

The ultrasonic transducer plays a critical role in the functioning of a medical ultrasound imaging device and the high frequency of oscillation it generates is key to producing high-quality images. This information is important to understand the functioning of the medical ultrasound imaging device and how the ultrasonic transducer contributes to the quality of the images produced.

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solved the question belowCalculate the force of attraction between a cation with a valence of +3 and an anion with a valence of -2, the centers of which are separated by a distance of 2.8 nm.
F= _____Calculate the force of attraction between a cation( eV , N , J , nm ) Choose One

Answers

the attraction between a +3 valence cation and a -2 valence anion, whose centres are separated by a distance of 2.8 nm. The attraction between two cations is 1.76×10⁻¹⁰ forces.

given,

number of cations,n₁=3

number of anions,n₂=2

center distance between cation and anion,r=2.8 nm=2.8×10⁻⁹m

write the equation force of attraction:

[tex]F=\dfrac{kq_1q_2}{r^2}.[/tex]..............(1)

Here,K is coulombs constant ,K=9×10⁹ Nm²/C²,q =n×e ,e is electronic charge,e=1.60×10⁻¹⁹ coulombs. the attraction between a +3 valence cation.

calculate the value of cation charge q₁

q₁=n₁×e

q₁=3×1.60×10⁻¹⁹

calculate the value of cation charge q₂

q₂=n₂×e

q₂=2×1.60×10⁻¹⁹

substitute the values in equation 1

[tex]F=\frac{(9*10^{9})*(3*1.602*10^{-19}) *(2*1.602*10^{-19} )}{(2.8*10^{-9})^{2} }[/tex]

F=1.76×10⁻¹⁰

The force of attraction between cation is 1.76×10⁻¹⁰.

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A body moves with uniform velocity, what will be its acceleration.

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Explanation:

zero.

when the speed (velocity) does not change, there is no acceleration (which means the measure about how much the speed or velocity changes).

An object moving at uniform or constant velocity has zero acceleration because there is no change in velocity.

How many amperes of current will flow through a circuit that has 4.0 ohms of resistance and js powers by a 16 volt battery

Answers

The current flowing in the circuit is 4 A.

What is the current flowing in the circuit?

The current flowing in the circuit is the rate of flow of charges per second.

The magnitude of the current flowing in the circuit can be calculated by applying Ohm's law as shown below.

V = IR

where;

I is the current flowing in the circuitR is the resistance of the circuit

The magnitude of the current is calculated as;

I = V/ R

I = 16 V / 4 ohms

I = 4 A

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a convex lens of focal length 18.0 cm is used as a magnifying glass. at what distance from a tiny insect should you hold this lens to get a magnification of ?3.00?

Answers

12 cm is the  distance from a tiny insect should you hold this lens to get a magnification of 3.00

How far away from an object should you set a convex lens with an 18 cm focal length?

f = 18 cm is a convex lens's focal length.Object separation, u =?The object is therefore 72 centimeters away.The object needs to be located 72 cm away from the lens.

apply 1/f  =  1/u +1/v, magnification m  = -v/u  =  3, so v  =  -3u, so  f  =  uv/u+v, f  =  u* -3u/(-2), u  =  2f/3, u  =2* 18/3, u  =  12 cm.

What image does a magnifying glass create?

The magnifying glass's image will be virtual, upright, and bigger than the thing as a result.Note: Binoculars, telescopes, and microscopes all require magnifying glasses.Because a convex lens is used within a magnifying glass, it is curved inward.

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What do all types of electromagnetic radiation from one place to another?

Answers

Answer: energy

Explanation: ghope thi hrkps

Which of these statements best describes what a scientist is?

Answers

A scientist is a person who is trained and educated in a scientific discipline, and who carries out research and experimentation in order to increase our understanding of the natural world

Who is a scientist?

Scientists may work in a variety of fields, including physics, chemistry, biology, earth sciences, and many others.

They use the scientific method to design experiments, make observations, and analyze data in order to test hypotheses and advance our knowledge of the world around us. Scientists also communicate their findings to other scientists and the general public through scientific publications and presentations.

Generally, we can conclude that a scientist is a person who is trained and educated in a scientific discipline, and who carries out research and experimentation in order to increase our understanding of the natural world

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a mover weighing 847 n is pushing a piano weighing 2145 n down a hallway. the force the mover exerts on the piano is 249 n south. state how much force the piano exerts on the mover and in what direction.

Answers

The piano exerts a force of 249 N to the north on the mover.

The force the piano exerts on the mover is equal in magnitude but opposite in direction to the force the mover exerts on the piano. This is because of Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction.

The force the piano exerts on the mover is 249 N to the north, since it is opposite in direction to the force the mover exerts on the piano, which is 249 N to the south.

So, the force the piano exerts on the mover is 249 N to the north.

To summarize, the mover weighing 847 N is pushing the piano weighing 2145 N down a hallway, and the force the mover exerts on the piano is 249 N south. According to Newton's Third Law of Motion, the piano must exert an equal and opposite force on the mover. Thus, the piano exerts a force of 249 N to the north on the mover.

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how do you determine the components of a vector using the magnitude and angle? how does multiplying a vector by a scalar affect its components

Answers

To determine the components of a vector using its magnitude and angle, you can use trigonometry.

The x-part of a vector rises to the vector extent times the cosine of the point, and the y-part of a vector rises to the vector greatness times the sine of the point. So the part can be composed as:

x part = size * cos(angle)

y part = size * sin(angle)

Increasing a vector by a scalar influences greatness yet not course. The size of a vector is duplicated by a scalar, and the parts of a vector are increased by a scalar. So on the off chance that a vector has (x, y) parts, duplicating it by the scalar "k" yields another vector with (kx, ky) parts.

The bearing of the vector doesn't change. While deciding the parts of a

vector, you can utilize the size and point to track down the x and y parts. For this we can utilize geometry. Here, duplicate size by the cosine of a point to get the x part and increase greatness by the sine of a point to track down the y part. Duplicating a vector by a scalar influences the size of the vector, causing it to develop or recoil contingent upon the worth of the scalar, however doesn't adjust the vector's course. Vector parts are increased by scalars also.

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describe the shape and location of a gaussian surface that can be used to determine the electric field at point p due to the long cylinder

Answers

To determine the electric field at point P due to a long cylinder, a cylindrical Gaussian surface should be used.

The Gaussian surface should be centered on the point P, and should be oriented along the axis of the cylinder. The surface should be perpendicular to the electric field vector, and should enclose the entire cylinder.

A Gaussian surface is a closed surface in three-dimensional space through which the flux of a vector field is calculated.  It is typically used to calculate the electric flux of an electric field or the gravitational flux of a gravitational field.

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a wrench cm long lies along the positive -axis and grips a bolt at the origin. a force is applied in the direction at the end of the wrench. find the magnitude of the force needed to supply of torque to the bolt.

Answers

A 30 cm long wrench is positioned at the origin, along the positive y-axis, and is holding a bolt. Just at end of the wrench, a force is exerted in the direction of "0, 3, and 4"

What does force in physics mean?

You can also use words like extend and squeeze to describe force. Force is described in physics as the pull or push that causes a massed object to change its speed. Force is an outside agent that has the power to alter a body's resting or moving position.

What function does force serve?

For instance, if there is no opposition, force is defined as the interaction that modifies an object's motion. When we look attentively at this sentence, we can see how push-pull plays a part in it. A pull is defined as a force that causes an object to move closer to you. On the other side, it is a shove if it travels away.

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please helps i need help xC
a bumblebee is flying towards a flower in a straight line at 4.09 m/s when it begins to accelerate at 1.01 m/s^2 how long does it take the bee to reach the flower if its 23.4 meters away

Answers

The time taken for the bumblebee to the reach the flower is 3.87 s.

What is the time of motion of the bumblebee?

The time taken for the bumblebee to the reach the flower that is 23.4 m away is calculated by applying the following equation as shown below.

s = vt + ¹/₂at²

where;

t is the time of motion of the bumblebeev is the initial velocity of the bumblebeea is the acceleration of the bumblebees is the distance travelled by the bumblebee

The time taken for the bumblebee to the reach the flower is calculated as;

23.4 = 4.09t + ¹/₂(1.01)t²

23.4 = 4.09t + 0.505t²

0.505t² + 4.09t - 23.4 = 0

solve for t using formula method,

t = 3.87 seconds

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In Platos credo, Socrates, believes that he should follow the laws of the state Athens, because?

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In Plato's philosophy, Socrates believed that he should follow the laws of the state of Athens because he believed in the idea of the "philosopher-king."

Who was Socrates?

Socrates was a classical Greek philosopher, credited as one of the founders of Western philosophy. He is best known for his method of inquiry, called the Socratic method, and for his teaching style, which was dialogic and aimed at getting students to think critically and develop their own ideas.

According to Socrates, the laws of the state were a reflection of the absolute and unchanging moral values that exist in the world. He believed that as a philosopher, it was his duty to live in accordance with these moral values, and thus to follow the laws of the state. In this way, Socrates saw himself as a servant of the divine, and believed that by following the laws, he was serving the greater good and promoting the welfare of the city.

Hence, In Plato's philosophy, Socrates believed that he should follow the laws of the state of Athens because he believed in the idea of the "philosopher-king."

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a drone airplane has an acceleration of 25 m/s2. if it is thrown from rest, how fast (m/s) will it be going in 8 seconds?

Answers

The drone airplane will be going 200 m/s after 8 seconds.

What is the airplane ?

An airplane is a powered, fixed-wing aircraft that is propelled forward by thrust from a jet engine, propeller or rocket engine. It is able to take off and land on runways, and can typically carry a large number of passengers and cargo. Airplanes are flown by pilots, and use a variety of instruments and controls to navigate and fly. They provide an efficient and cost-effective way to travel long distances and are used for both commercial and military purposes. Airplanes are an important component of modern transportation, with thousands of flights each day all around the world.

The speed of the drone airplane after 8 seconds can be calculated using the equation v = at, where v is the speed, a is the acceleration, and t is the time. In this case, v = 25 m/s2 x 8 s = 200 m/s.

Therefore, the drone airplane will be going 200 m/s after 8 seconds.

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how does a wheel involve physics

Answers

Wheels are simple machines that reduce friction and allow a person to turn force into motion
Wheels are simple machines for reducing the force of friction. Dragging something over rough ground is hard work, but wheels make it much easier by allowing the object to roll along. Wheels can also be used to help turn something with more force, or help something to turn faster.

g how does the pressure at each of the five points change if the tank and its previous contents were buried an extra 1 meter below the current level such that the pipe to the surface is now 3 meters long?

Answers

The pressure at each of the five points would increase by ρg × 1 Pa.

The pressure at each of the five points would increase if the tank and its previous contents were buried an extra 1 meter below the current level. The pressure at a point in a fluid is proportional to the height of the fluid column above that point. Since the pipe to the surface is now 3 meters long, the height of the fluid column above each of the five points has increased by 1 meter. Hence, the pressure at each of the five points would increase by an amount proportional to the height of the fluid column, or P2 = P1 + ρgh, where P1 is the original pressure, P2 is the new pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the increase in height. As a result, the pressure at each of the five points would increase by ρg × 1 Pa.

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When you climb stairs, you expend energy to do work against gravity. The energy you use to climb will convert into an equal amount of gravitational potential energy, so Suppose a 65 kg man uses 10 s to climb a staircase up to a height of 6 m How much power does he use, and how does this power compare to the power used by your highest-consuming device?

Answers

The man uses 558.6 watt power during climb a staircase up to a height of 6 m.

What is potential energy?

Potential energy is a form of stored energy that is dependent on the relationship between different system components.

When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.

The potential energy gained = 65 × 9.8 × 6 Joule = 5586 Joule.

Hence, his power is = (5586 ÷ 10) Watt = 558.6 Watt.

So, the man uses 558.6 watt power during climb a staircase.

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The human jaw muscle is the strongest in the body for its size. Does this mean that the jaw muscle is the also the overall strongest muscle as well? Explain why or why not. (Our unit is on work and power)

Answers

The sartorius muscle is the solution. A superficial muscle that runs the full length of the leg, the sartorius is involved in the flexion of the knee and hip.

What is Sartorius muscle?

The heart's wall is made up of cardiac muscle, which also causes the heart to contract vigorously. Intestinal, uterine, blood vessel, and internal ocular muscles are all made of smooth muscles.

The epidermis and some skeletal muscles are linked to the bones (muscles in our face). The skeletal muscles' contraction aids in the movement of the limbs and other bodily parts.

Although some estimates go as high as 840, the majority of sources claim that there are over 650 identified skeletal muscles in the human body.

Therefore, The sartorius muscle is the solution. A superficial muscle that runs the full length of the leg, the sartorius is involved in the flexion of the knee and hip.

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a major flaw in copernicus's model was that it still had

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Answer:

Circular orbits, which were believed to be perfect and uniform, but were later shown to be elliptical by Johannes Kepler. Another flaw was that it relied on the idea of epicycles, which were additional circular orbits used to explain the observed irregularities in the motions of the planets. Despite these flaws, Copernicus's model marked a major step forward in astronomical understanding by proposing a heliocentric model, in which the Earth and other planets revolved around the sun, instead of the Earth being the center of the universe.

Nicolaus Copernicus was a Renaissance-era astronomer and mathematician who is famous for his heliocentric model of the solar system. The Copernican model proposed that the Sun, rather than the Earth, was at the center of the universe, and the planets, including Earth, orbited around it. This model was a significant improvement over the earlier geocentric models that placed Earth at the center of the universe. However, Copernicus's model still had some significant flaws.

One major flaw in Copernicus's model was that it assumed that the planets moved in perfect circles around the Sun. In reality, the orbits of planets are elliptical, meaning they are more like stretched-out circles. Copernicus's model failed to account for this, and as a result, it could not accurately predict the positions of the planets.

Johannes Kepler, a contemporary of Copernicus, recognized this flaw and eventually developed his three laws of planetary motion, which accurately described the elliptical orbits of the planets. Kepler's laws replaced Copernicus's assumption of circular orbits and helped to refine our understanding of the solar system.

Another flaw in Copernicus's model was its inability to explain retrograde motion. Retrograde motion is the apparent backward motion of planets in the sky. Copernicus's model suggested that this motion was caused by the planets moving in circular orbits around the Sun, with Earth sometimes overtaking and passing them. However, this explanation was incomplete and did not account for the complex motions of the planets.

It was not until later when astronomers like Tycho Brahe, Kepler, and Galileo Galilei made more precise observations and developed more accurate models that the flaws in Copernicus's model were fully recognized. Nonetheless, Copernicus's model represented a significant step forward in our understanding of the universe, and it paved the way for the development of more accurate models.

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(A)derive the equation for circular motion,a=rw^2, where a is the centripetal acceleration w is the angular velocity and r the radius of the circle

(B) (i) the moon orbits the earth in a circle of radius 400000km. considering only these two objects, state what force act on the moon and explain how newton third law of motion applies to the system.

(ii) find the time for one complete revolution of the moon about the earth.

Answers

The equation for centripetal acceleration can be written as follows : a = v² / r = (rw)² / r = r × w² , the relationship between angular velocity and linear velocity : v = r × w

Evaluation :

A.The following equation can be used to calculate the centripetal acceleration during a circular motion:

Consider a particle of mass m traveling at an angular velocity w in a circle of radius r. The particle's velocity is calculated as v = rw, where v is its linear velocity.

The net force exerted on the particle can be calculated using Newton's second law as follows:

                                      F = m × a,

where a is the particle's acceleration.

The centripetal force is the net force exerted on the particle, which must be directed toward the circle's center.

As a result, the equation for centripetal acceleration can be written as follows:

                     a = v² / r = (rw)² / r

                               = r × w²

This equation is usually written as:

                                       a = r × w².

What is the Third Law of Motion of Newton?

According to Newton's third law of motion, there is an equal and opposite reaction to every action. The gravitational force exerted by the moon in this system is the same as that exerted by the Earth in this system. Newton's third law of motion, also known as the action-reaction pair of forces, describes this phenomenon.

B) (i) The equation below describes the gravitational force that is exerted on the moon:

                               F =G × (m_earth × m_moon) / r²

G is the gravitational constant, m_earth is the Earth's mass, m_moon is the moon's mass, and r is the distance between the Earth's and moon's centers.                  

(ii) We need to divide the circumference of the moon's circular path by its linear velocity in order to determine the time it takes for the moon to complete one complete revolution around the Earth:

                          C = 2 × pi × r

                               v = C / T

where C is the circumference of the moon's circular path, r is the circular path radius, T is the time it takes to complete one revolution, and v is the moon's linear velocity.

We obtain: by substituting the values:

                 C = 2 × pi × 400000 km = 800000 × pi km

                            v = C / T = (800000 × pi km) / T

We need to know the moon's angular velocity in order to calculate the time. These numbers indicate the relationship between angular velocity and linear velocity :

                       v = r × w

Substituting the values, we get:

                                T = C / (r × w)

                        = (800000 × pi km) / (400000 km × w)

                               = 2 × pi / w

Since the angular velocity w is not specified, it is not possible to determine how long it would take for the moon to complete one complete revolution around the Earth.

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why is a battery used when we require more electricity

Answers

A battery is used when we require more electricity because it can store and release electrical energy as needed.

Batteries consist of one or more cells, each of which contains two electrodes and an electrolyte that allows for the flow of charged particles between the electrodes. When a battery is connected to a device, the charged particles flow from the positively charged electrode to the negatively charged electrode, providing a flow of electricity.

The amount of electricity stored in a battery is limited, but it can be released as needed, even when the source of the electricity is not available. This makes batteries useful for supplying electrical energy in situations where there is a temporary increase in demand, such as when more devices are turned on or when the source of electrical energy is unavailable, such as during a power outage.

Additionally, batteries are portable and can be easily carried, making them useful for supplying electrical energy in remote locations where there is no access to the electrical grid.

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two trains are traveling towards each other 120 milesat speeds of 40mph and 50 mph. how long does it take for them to collide?

Answers

The two trains' aggregate mechanical speed is 30 + 40, or 70 miles per hour. Therefore, they must be 70 miles apart when they meet one hour prior (in the final 1 hour they will cover 70 miles to meet).

How do two trains pass one another mathematically?

After meeting, the trains' crossing time is calculated as (L1+ L2)/(S1+ S2). The sum of the train lengths and speeds in this case represents the overall distance to be traveled.

What is the time required for two trains to pass one another?

The faster one must pass the slower one entirely in 60 seconds while they are both traveling in the same direction. They totally pass each other in 10 seconds if they are traveling in the opposite directions.

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a plank is balanced in its center. a 100 n bucket is placed 0.66 m from the center of the plank. how far from the center on the opposite side must a 50 n weight must be placed to balance the bucket.

Answers

The 50 N weight must be placed 1.32 m from the center on the opposite side to balance the 100 N bucket.

The formula to find the distance, d, from the center that a weight must be placed to balance a weight placed a distance, x, from the center is:

d = x * (m1 / (m1 + m2)),

Where:

m1 and m2 are the masses of the weights

In this case:

m1 = 100 Nm2 = 50 N

Plugging these values into the formula, we find:

d = 0.66 m * (100 N / (100 N + 50 N)) d = 0.66 m * (100 N / 150 N) d = 0.66 m * (2 / 3) d = 1.32 m

Hence, in order to balance the 100 N bucket, the 50 N weight must be positioned 1.32 m from the center on the opposite side.

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Fighter jets on aircraft carriers are accelerated down a 270 foot "runway" in two seconds when they are taking off. A fully loaded, combat ready F-15 has a maximum take-off weight of 62,000 pounds. To ensure the pilot can reach sufficient velocity within 2 seconds a pneumatic cannon propels the plane down the runway. If this same cannon was used to launch your Toyota Corolla (mass is 2646lbs), how fast in miles per hour would you be going after reaching the end of the runway?

Answers

The speed of the  Toyota Corolla would have  been 143.9 mph.

What is the acceleration of the F-15?

The acceleration of the F-15 can be calculated as follows:

Acceleration = Velocity Change / Time = (Take-off Speed) / Time

where;

Take-off Speed = √(2dg /t²)

Take-off Speed = √(2 x  (270 ft)  x 32.2 ft/s² / (2 s)²)

T  = √(17496) = 131.6 ft/s

Acceleration = Velocity Change / Time

= (131.6 ft/s) / (2 s) = 65.8 ft/s²

We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:

Final Velocity = Initial Velocity + Acceleration x Time

where;

Initial Velocity = 0 (because the car is not moving initially), Time = 2 s

Final Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s

Finally, we can convert the velocity from feet per second to miles per hour:

Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)

= 131.6 ft/s x  (1 hour/3600 s)  x (5280 ft/mile)

= 143.9 mph

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consider the force pushing the box in example 4. how long would it take for the velocity of the box to double to 2.0m/s

Answers

The time taken by the box to reach the velocity of 2 m / s will be 4 sec.

What is a force?

Force is defined as the external effort or agent applied to the object in a particular direction to displace it from one position to another position. The force is measured in a Newton.

Given that the force applied is 5 N and the velocity is 2 m / s. The mass of the object is 10 kg.

The time required by the object to get the velocity of 2 m/s will be calculated as:-

Force x Time = m x V

Time = ( m x V ) / F

Time  = ( 10 x 2 ) / 5

Time = 4 sec

Hence, the time will be equal to 4 seconds.

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