A very long flat conducting strip of width d and negligible thickness lies on a horizontal plane and carries a uniform current I across its cross section.
a) Show that at points a distance y directly above from its center the field is given by:
assuming the strip is infinitely long. [Hint: Divide the strip into many thin "wires" and sum (integrate) over these]
b) What value does B approach for y >> d ? Does this make sense? Explain.
Answers
The b approach for y with magnetic field with uniform current is current is B=(µI/πd ) 1/(tan(d/2y)
The concept of "equivalent uniform current" in wave-current computations is introduced in this paper. For a given observed wave period, wave height, and water depth, this current is defined as the uniform current that produces the same wavelength as the actual depth-varying current. Consider the strip to be the collection of a number of thin parallel wires, each carrying a current I. Because the vertical contributions to the magnetic field cancel, integration along the horizontal component is now performed. b- The magnetic field magnitude with current is B=(µI/πd ) 1/(tan(d/2y)
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Related Questions
star a and star b are both on the main sequence. star a is 28 times more luminous than star b. which star is more massive?
Answers
To find the massive stars known the luminous first.
What is luminous?
Luminous objects are those that produce their own light. Sun, candle flame, among other examples Non-luminous items are those that are unable to produce light on their own. These objects reflect light from their luminous bodies.
What is main sequence star?
Any star that is fusing hydrogen in its core and has a stable equilibrium between the inward pressure from gravity forces and the outward pressure from core nuclear fusion is considered to be in the main sequence.
Therefore, we can conclude that star A is more massive because the luminous stars are massive.
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Two galaxies on opposite ends of the universe are moving away from the earth. Each has a velocity of 200,000 km/s relative to the earth. How fast would an observer in one of those galaxies see the other galaxy moving away?.
Answers
An observer in one of those galaxies sees the other galaxy moving away at a velocity of 400000 Km/s.
What is relative motion?When an object has a particular velocity, then this velocity is w.r.t. frame which is known as the reference frame. When we determine the velocity of an object, the ground is considered the reference frame.
The motion of an object can be observed by the observer depending on the frame of the observer and this type of motion is relative motion.
When the two galaxies on opposite ends are moving away in opposite directions with a velocity of 200000 Km/s
The relative velocity of these two galaxies = 200000 + 200000
Relative velocity = 400000 Km/s
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9. what happens to the internal pressure in a fluid flowing in a horizontal pipe when its speed increases? when its speed decreases?
Answers
The pressure decreases when the speed increases then internal pressure in a fluid flowing in a horizontal pipe its speed decreases The pressure increases when the speed decreases.
What is Pressure?
The physical force used to apply pressure on an object is defined as such. Per square inch of an item, a force is delivered perpendicularly to its surface. For pressure, the fundamental formula is F/A. (Force per unit area). The Pascal is the unit of pressure (Pa). The four different types of pressure are absolute, atmospheric, differential, and gauge pressure.'Pressure' is the term used to describe the thrust (force) applied to a surface per unit area. The ratio of force to area is another way to describe it (over which the force is acting).The layer of gases that surrounds the earth's atmosphere creates a pressure that is known as "atmospheric pressure."However, 101325 Pa is what it is at sea level.
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a stationary object of mass 4kg is set in motion by a net force of 50N. If the object attains a speed of 5m/s in time t. Calculate the value of t
Answers
Answer: i got 0.4s
Explanation:
As the object is moving under constant force,we can apply the equation,
v=u+at where, v is the velocity attained after time t which had an initial velocity of u.
a=F/m=50/4=12.5ms^-2
Given, u=0
So, if v=5 then, t = 512.5 = 0.4s
a lamina occupies the part of the disk in the first quadrant and the density at each point is given by the function . a. what is the total mass? b. what is the moment about the x-axis, ? c. what is the moment about the y-axis, ? d. where is the center of mass? ( , ) e. what is the moment of inertia about the origin, ?
Answers
The center of mass of the lamina would be in the middle of the axis and the mass of the lamina is 25.
For this, we will use the polar coordinates. According to the change of coordinates, where r and theta are the new parameters. Given a point (x,y) in the plane, r is the distance from (x,y) to the origin and theta is the angle formed between the line that joins the origin and the point, and the x-axis.
We need to describe the region D in terms of the new parameters. Replacing the values of x,y in the given inequality, we get that . Since and r>0 we get that r<=5. On the other side, in order to describe the whole region of the first quadrant, we need to sweep the angle theta from 0 to. With that, we can calculate the mass of the lamina as follows here, the extra r appears as the Jacobian coordinates.
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37.9kg skydiver leaps out of plane what is force that skydiver pull up on earth with
Answers
The force that the skydiver pull up on the earth with a mass of 37.9 kg is 371.42 N.
What is force?Force can be defined as the product of mass and acceleration.
The force that the skydiver pull up on the earth with is the same as its weight. To calculate the weight of the skydiver, we use the formula below.
Formula:
W = mg........ Equation 1Where:
W = Weight of the skydiverm = Mass of the skydiverg = Acceleration due to gravityFrom the question,
Given:
m = 37.9 kgg = 9.8 m/s²Substitute these values into equation 1
W = 37.9×9.8W = 371.42 N.Hence, the force that the skydiver pull up on the earth is 371.42 N.
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qm.2 a particle has a velocity that is 90.0% the speed of light. if the wavelength of the particle is 1.5x10-15 m, calculate the mass of the particle.
Answers
If the wavelength of the particle is 1.5 x 10⁻¹⁵ m, the mass of the particle will be 1.636 × 10⁻²⁷ kg
Velocity of the particle = 90.0% of c ( speed of light)
Wavelength of the particle (λ) = 1.5 × 10⁻¹⁵ m
Mass of the particle = ?
Calculate the velocity of the particle
velocity = (90.0 / 100)(3 × 10⁸ m/s)
velocity = (0.90)(3 × 10⁸ m/s)
velocity = 2.70 × 10⁸ m/s
Now calculate the mass of the particle by using the following equation:
λ = h / mv
Rearrange the equation for mass
m = h / λv
value of h = 6.626 × 10⁻³⁴ Kg.m².s⁻¹
Put the values
m = (6.626 × 10-34 Kg.m².s⁻¹) / (1.5 × 10⁻¹⁵ m)(2.70 × 10⁸ m/s)
m = 1.636 × 10⁻²⁷ Kg
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The natural abundance of si-28 (mass = 27. 98 amu) is 92. 23%. For si-29 (mass = 28. 98 amu), it is 4. 67%, and for si-30 (mass = 29. 97 amu), it is 3. 10%.
Answers
28.11 u is the Average atomic mass of Silicon.
Average atomic mass of Si
= 28×92.25+29×4.65+30×3.10÷100
=28.11 u
The mass of the components that make up an element's atom is referred to as its atomic mass. One-twelfth of the mass of the carbon-12 atom, which has an assigned atomic mass of 12 units, is expressed as a multiple of 1.992646547 1023 gram, or more precisely as 1.992646547 gram. One atomic mass unit is equivalent to 1.660539040 1024 grams on this scale (amu). The atomic mass unit is occasionally referred to as the dalton in honor of English scientist John Dalton (Da).
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After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 322 km/hour in the horizontal direction. answer in numerically in seconds
Answers
Answer:
Below
Explanation:
First of all, the horizontal speed is irrelevant to the question...not needed.
The time to hit the ground can be computed by
HEIGHT = 1/2 a t^2 where a = 32.2 ft/s^2 or 9.81 m/s^2
solve this for 't' in seconds
as the HEIGHT was not given in the question, this cannot be answered though you can say t = sqrt ( 2 * height / a )
A crate slides off the back of a flatbed truck that accelerated forward from rest. If the bed of the truck is frictionless, the crate falls off the back of the truck because.
Answers
The correct answer is due to Newton’s laws of motion i.e., an object at rest at rest remains at rest that’s why the crate falls back.
What governs motion, according to Newton?
Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace. An object's acceleration is determined by its mass and the force being applied.
The crate naturally prefers to stay at rest while the truck moves ahead, so the truck will often slide beneath it and leave the crate behind.
It is all due to Newton's First Law, specifically the inertia of motion or rest.
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What are 5 examples of implied powers?.
Answers
Declaring war, levying taxes, regulating commerce, minting money, and controlling immigration are five instances of implied powers.
Political authority provided to the United States government that isn't expressly defined in the Constitution is known as implied power. Due to precedents established by other authorities, it is assumed that these will be given. Any particular governmental body can't operate without these implicit capabilities.Examining whether the Necessary and Proper Clause included a power to create a national bank from Congress's authority to levy and collect taxes, borrow money, regulate trade, declare and carry out wars, and build and sustain armies and navies.There is no explicit mention of implied powers in the Constitution. They stem from Congress's authority to enact any laws that are "necessary and proper" to execute its specified powers. This line, which is part of Article I, Section 8, is sometimes referred to as the elastic clause since it extends Congress's power.Thus these are the five examples of implied powers.
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What is the relationship between wavelength and frequency of all waves on the electromagnetic spectrum?.
Answers
Using the concepts of electromagnetic waves, we got that wavelength and frequency are inversely proportional to each other for all waves on the electromagnetic spectrum.
Electromagnetic waves are actually referred for the photons of the light.
Wavelength and frequency are inversely proportional to each other: wavelength × frequency = constant. Their product is equal to the velocity (λf = c). This relation is true of all kinds of wave motion, including sound, although for sound the velocity is about a million times less.
Hence, the relationship between wavelength and frequency of all waves on the electromagnetic spectrum is inversely proportional to each other.
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Vascular tissue helps plants transport water against the force of gravity. Because of this, plants that lack vascular tissue do not grow very tall. How is this situation similar to the information you have learned in this lesson? explain.
Answers
Because they can't move water very far, plants without vascular tissue can't get very tall. A cell wouldn't be able to bring in the materials it need if it got too big.
Vascular tissue is a multicellular conducting tissue that is intricate in structure and is present in vascular plants. Vascular tissue is primarily composed of xylem and phloem. These two tissues absorb water and nutrients inside. Two other meristems connected to vascular tissue are the vascular cambium and the cork cambium. The vascular tissue system of a particular plant consists of all of its vascular tissues.
Typically, vascular tissue has long, slender cells. Given that they act as pathways for the transportation of water, minerals, and nutrients throughout the plant, it is not unexpected that the xylem and phloem resemble pipes. Phloem's individual cells are connected end to end like the sections of a pipe.
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a small 175-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter 1.0 m. the ball makes 2.0 revolutions every 1.0 s. find the tension in the string. hint: find acceleration needed to keep ball in a circle.
Answers
Tension in the string is F = 2.415 N
Acceleration needed to keep the ball in a circle is α = 13.803 m/s²
It is given that:
mass of the ball, m = 175g = 0.175Kg
The radius of the circle, r = diameter/2 = 0.5m
The ball makes 2.0 revolutions every 1.0 s. So, angular speed is
ω = 4π radian/sec
Since, it is moving in circular path so centripetal acceleration will act here.
So, centripetal acceleration α = mω²r
α = 0.175Kg × ( 4π )² × 0.5
So, α = 13.803 m/s²
Hence, the acceleration is 13.803 m/s² and it is directed toward the center of rotation.
Tension is a force that is given by: F = ma
F = 0.175Kg × 13.803 m/s²
F = 2.415 N
Friction is a force, the resistance of motion when one object rubs against any other. On every occasion objects rub towards every different, they purpose friction. Friction works against the movement and acts on the contrary direction.
Friction can slow matters down and forestall stationary things from shifting. In a frictionless global, more objects would be sliding about, clothes and shoes would be difficult to preserve and it might be very tough for human beings or motors to get transferring or exchange routes.
Contact forces are the kind of forces that perform between objects which are in physical touch with each other.
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the gravitational force between two spheres is 40 n in magnitude. if the amount of each mass doubles, what is the force between the spheres? group of answer choices 80 n 10 n 20 n 160 n
Answers
The force between the spheres after each mass is doubled is 160N.
Every particle in the cosmos attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.
Coulomb's law of electrical forces, which is used to determine the strength of the electrical force developing between two charged things, is similar to Newton's law of gravitation. The force is inversely proportional to the square of the distance between the bodies under both inverse-square rules.
From newtons law of gravitation, we know that
F = (Gm₁m₂)/ r²
Initially,
Given that F₁ = 40N
F₁ = (Gm₁m₂)/ r²
F₂ = (Gm₁m₂)/ r²
Now, m₁ = 2m₁
m₂ = 2m₂
Thus,
F₂ = (G * 2m₁ * 2m₂)/ r²
F₂ = 4 F₁
F₂ = 4 * 40N
F₂ = 160 N
The force between the spheres after each mass is doubled is 160N.
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when the cart reached the edge of the track and stopped (before it started going back to the hand), what was the acceleration?
Answers
The speed increases but acceleration decreases.
In mechanics, acceleration is the price of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by means of the orientation of the net force performing on that object.
Acceleration is, rate at which pace modifications with time, in phrases of each speed and direction. A point or an item transferring in a direct line is increased if it hurries up or slows down. motion on a circle is multiplied even supposing the speed is regular, due to the fact the path is constantly changing.
Acceleration. pace is the fee of alternate of displacement. Acceleration is the charge of change of pace. speed is a vector quantity as it includes both value and course. Acceleration is also a vector amount as it's far simply the rate of trade of velocity.
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select all that apply. in response to a specific stimulus, autonomic reflex arcs can trigger to help maintain homeostasis.
Answers
Internal organs unconsciously react to environmental changes as a result of reflexes, particularly autonomic reflexes, which help control homeostasis.
Why are reflexes important to maintaining homeostasis?Remember from the first module the importance of homeostasis. Reflexes help the body recognize changes and respond appropriately in order to maintain homeostasis. Reflexes happen unconsciously and automatically for a reason. Can you imagine how your life would be if you had to be conscious of the temperature of the environment you had just entered and then make conscious adjustments to maintain your internal temperature within the normal range? To comprehend how reflexes function, we will examine the basic components of a reflex arc and how they interact to produce the desired effect.There are many different ways to classify reflexes, but for the purposes of this discussion, we'll focus on two of them: somatic reflexes, which regulate skeletal muscle, and autonomic reflexes, which regulate smooth muscle, cardiac muscle, glands, and other body parts.To Learn more About reflexes refer to:
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you throw a ball straight up with an initial velocity of 15.8 m/s. it passes a tree branch on the way up at a height of 6.81 m. how much additional time (in s) will pass before the ball passes the tree branch on the way back down?
Answers
Additional time taken before the ball passes the tree branch is 1.13s.
Here we have to find the additional time.
Given data:
Initial velocity(u) = 15.8 m/s
x is the height at which the ball reaches the greatest height after the height of 6.81m.
Height =( 6.81 + x)m
Final velocity (v) = 0
Acceleration due to gravity (g) = 9.8 m/s²
Formula:
v = u + at
0 = 15.8 - 9.8t
t = 15.8/ 9.8
= 1.66s
Now we have:
Average velocity = Average distance/ average time
0 + 15.8/ 2 = (x + 6.81)/ 1.66
7.9 × 1.66 = x + 6.81
13.114 - 6.81 = x
x = 6.30
As the distance is 6.30.
So the additional time taken is:
Average velocity = Average distance/ Average time
0+ v/ 2 = 6.30 / t
v = 12.6/t
Now we have
v = u + at
a = v-u/t
-9.8 =( 0 - 12.6/t)/ t
9.8 = 12.6/ t²
t² = 12.6/ 9.8
= 9/ 7
t = 3/ 2.645
= 1.13s
Therefore the time taken is 1.13s.
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The assumption that there is no energy loss is not accurate. Assuming the spring has a spring constant of 100Nm-1 and has a length change of 2 cm, the track is on a level surface, and that the final velocity of the car is 0.25 ms-1 when it reaches the end of the track, what is the percentage efficiency of the toy? Take the mass of the car to be 150 g
Answers
The toy percentage efficiency is 23%.
Solution:
The kinetic energy is:
KE = [tex]\frac{1}{2} mv^{2}[/tex]
KE = [tex]\frac{1}{2} *(150)(0.25)^2[/tex]
KE = 4.6875 J
The elastic potential energy is:
E = 0.5 x 4 x 10 = 20
E = 100 J
The percentage efficiency of the toy is found as:
%n = [tex]\frac{4.6875*100}{20}[/tex]
%n = 23%
The more the elastic material is stretched the greater the potential for elastic energy storage. The amount of elastic potential energy stored in a stretched spring can be calculated using the formula: Work is done when the spring expands and contracts.
Springs store elastic potential energy. If no inelastic deformation has occurred, the work done is equal to the stored elastic potential energy. As the spring constant increases for a constant applied force, the spring deflection decreases as the spring stiffness increases.
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during what scrum event will the scrum master ask questions like: what has been our average velocity? who on the team has any upcoming vacations or work conflicts? who is responsible for what sprint tasks?
Answers
The Scrum event that will see the Scrum master asking question such as average velocity, upcoming vacations, and those responsible for sprint tasks is Sprint planning .
What are Scrum activities ?
Scrum events allow an organization to engage in processes where they are able to develop products and services which are then used to compete in the market and allow for the organization to meet its goals. There are five scrum activities or events and they are:
In sprint planning, the team in question tries to work such that they can figure out how they can go about the scrum activity. The scrum master will try to find out how fast the team members have been going in terms of accomplishing goals, the availability of team members, and the responsibilities of the scrum members.
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An object of mass 20kg was dropped from the top of a building of height 200m
Calculate:
a)what time does it take the object to fall freely the a distance of 120m
b)The velocity of the object at the distance
c)With what velocity will the object strike the ground?(g=10m/s²)
Answers
The time it takes the object to fall freely at a distance of 120m is 7.75 sec.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Calculation:-
mass = 20 kg
height = 200 m
new height = 120
S = ut +1/2at²
120 = 0 + 0.5× 10 t²
t² = 120/5
= 60
= 7.75 sec
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
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A dog weighing 18 kg runs into a park at a velocity of. 63 m/s. What is the momentum of the dog?.
Answers
1134 kgm/s is the momentum of the dog weighing 18 kg runs into a park at a velocity of 63 m/s.
Formula to calculate momentum:
M = mv,
Where: M = Momentum
m = Mass
v = Velocity
let given,
mass m = 18 kg
velocity v = 63 m/s
substitute the values in above equation
Momentum, M = (18×63)
Momentum, M = 1134 kgm/s
Hence, the momentum of the dog is 1134 kgm/s.
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If an object is 60 centimeters high and the image is 189 centimeters high, what is the magnification?
Answers
Answer:
Explanation:
Given:
h = 60 cm
H = 189 cm
_________
K - ?
The magnification:
K = H / h
K = 189 / 60 ≈ 3.15
The siren of a fire engine that is driving northward at 31.0 m/s emits a sound of frequency 2160 Hz. A truck in front of this fire engine is moving northward at 19.0 m/s.
A. What is the frequency of the siren's sound that the fire engine's driver hears reflected from the back of the truck (Hz)?
B. What wavelength would this driver measure for these reflected sound waves (m)?
Answers
(a) The frequency of the siren's sound that the fire engine's driver hears reflected from the back of the truck is 2243.9Hz.
(b) The wavelength of the reflected sound waves by the listener is 0.143 m.
We use the principle of Doppler's effect to find the results.
What is the Doppler's effect?The Doppler's effect is a phenomenon when the source of a wave and an observer move relative to each other, the frequency heard is not the same with the actual frequency.
The equation of the Doppler's effect is
f₀ = (v + v₀) fs / (v + vs)
Where
f₀ = observer frequency of soundv = speed of sound waves (340 m/s)v₀ = observer velocityvs = source velocityfs = actual frequency of sound wavesNote:
v₀ (-) if it moves away from the sound source.vs (-) if it moves closer to the observer.There are a truck and a fire engine emitting a siren sound moving in the same direction.
The actual frequency, fs = 2160 Hz.The fire engine velocity (source), vs = 31.0 m/s.The truck velocity (observer), v₀ = 19.0 m/s.Determine the frequency and the wavelength of the sound waves heard by the listener in the front!
We have the truck is in front of the fire engine. So, the sound source moves closer and the observer moves away. Then, frequency of the sound waves heard by the observer is
f₀ = (v - v₀)/(v - vs) × fs
f₀ = (340 - 19.0)/(340 - 31) × 2160
f₀ = (321/309) × 2160
f₀ = 2243.9 Hz
The wavelength of the sound waves heard by the observer is
λ₀ = (v - v₀) / f₀
λ₀ = (340 - 19) / 2243.9
λ₀ = 321 / 2243.9
λ₀ = 0.1430545
λ₀ = 0.143 m
Hence,
(a) The observer frequency of sound is 2243.9Hz.
(b) The wavelength of the reflected sound waves by the observer is 0.143 m.
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A Geiger-Muller (GM) tube can be used to detect ionising radiation. How many alpha particles entering the GM tube are needed to make the counter advance by one? Give your answer in numbers, not words.
Answers
Answer:
1
Explanation:
The counter advances each time an ionising particle enters a GM tube.
Only one alpha particle entering the GM tube is needed to make the counter advance by one.
What is Geiger-Muller (GM) Counter?A Geiger counter is a tool used to find and quantify ionized gas particle concentrations. It is widely utilized in fields including experimental physics, radiation dosimetry, and radiological defence. It consists of a metallic tube that is filled with gas and to which a high voltage supplied in multiples of 100V is applied. Alpha, beta, and gamma particles are all detected.
It is crucial to ensure that the least amount of radioactive material is delivered to human subjects when using radioactive isotopes in medical research studies on people. The radioactivity of materials must be measured with an extremely sensitive device in order to accomplish this. Geiger and Muller created a "particle detector" in 1928 that they named a "Geiger Muller Counter," or simply the "GM counter," to monitor ionizing radiation.
This Geiger-Muller (GM) tube can be used to detect ionizing radiation. Only one alpha particle entering the GM tube is needed to make the counter advance by one.
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state which color of visible light (red, green, violet, orange, blue, or yellow) would change direction the most when traveling from water to air?
Answers
The shorter the wavelength of light, the greater the refraction. As a result, red light refracts the least and violet light refracts the most, spreading the colored light across the spectrum.
What is Dispersion of Light?Dispersion, the phenomenon in which the phase velocity of a wave depends on its frequency. The term "chromatic dispersion" is sometimes used specifically for optical systems. When white light passes through a glass prism, it is broken down into a spectrum of colors (in the order violet, indigo, blue, green, yellow, orange, red) and this process of splitting white light into individual colors takes place is called dispersion.
When light hits a water droplet, it refracts at the boundary between air and water and enters the water droplet, where it scatters into seven colors. The rainbow effect occurs because light reflects inside the droplets and is eventually refracted back into the air.
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Why are muscle and fat levels the only factors influencing flexibility impacted by personal decisions?
A.
Muscle and fat levels are mostly determined by heredity.
B.
Age, gender, and joint structure cannot be changed.
C.
Personal decisions have significant impacts on age and gender.
D.
Flexibility is not dependent upon muscle and fat levels.
Please select the best answer from the choices provided.
A
B
C
D
Answers
Answer:
B) Age, gender, and joint structure cannot be changed.
Explanation:
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why does matter falling toward a white dwarf, neutron star, or black hole in a binary system form an accretion disk?
Answers
because the in falling matter has some angular momentum that is why matter falling towards a white dwarf, neutron star, or black hole in a binary system form an accretion disk.
The mass falls toward the central body, causing conservation of angular momentum to enhance the orbital speed. As a result, a rotating disc is created by the falling materials.
what is Angular momentum?
Angular momentum is any rotating object's characteristic determined by moment of inertia times angular velocity. It is a characteristic of rotating bodies determined by the sum of their moment of inertia and angular velocity.
The mass, motion, and distance of an object's mass from the centre of rotation all affect angular momentum, also known as spin.
Therefore, because the in falling matter has some angular momentum that is why matter falling towards a white dwarf, neutron star, or black hole in a binary system form an accretion disk.
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if the angle from the horizontal increased, would the ball travel further away from the person? that is to say, if the angle of elevation was greater, would that make a difference in the distance from the person - further, closer, no change? be specific in your answer as to why you think this.
Answers
Let the initial velocity be u And the angle of projection is e Then, the distance between the person and the ball where it lands is called range.
If the angle with the horizontal increases Distance between the person and the ball where it lands decreases which means the ball lands closer to the person if the angle of projection increases, the range decreases.
Maximum altitude is determined by initial vertical velocity. A steeper launch angle increases the vertical velocity component, so increasing the launch angle increases the maximum altitude. The higher the degree of release, the longer the flight distance. Projectiles are launched higher, so they stay in the air longer. A horizontal component acts long on the projectile.
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Ashanti picks up a book and lifts it a height of 0.8 m onto a shelf. The book gains 4.7 J of gravitational potential energy as a result. Calculate the mass of the book. The gravitational field strength on Earth is 9.8 N/kg.
Answers
The mass of Ashanti's book is 1.6kg if the book gains 4.7 J of gravitational potential energy.
What is mass?The term mass refers to the quantity of matter that makes up something or someone. Additionally, mass can be thought of as the resistance an item has to changes in velocity and, consequently, changes in acceleration, as acceleration is the rate at which velocity changes.
Since it takes effort to lift objects out of the gravitational pull of the Earth, gravitational energy is the potential energy associated with gravitational force. Water in an elevated reservoir or kept behind a dam serves as evidence for gravitational potential energy, which is caused by elevated positions.
The formula for potential energy
PEg=mgh
PEg=4.7J
g=9.8N/kg
h=0.8m
m=?
4.7=m×9.8×0.8
4.7=7.84m
m=7.8/4.7=1.6
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