True, the length of the eye and the curvature of the cornea determine the refractive error of an eye. Hyperopia, or farsightedness, is produced by a shorter-than-normal eye.
What is Hyperopia?With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.
Your ability to focus is influenced by how farsighted you are. People with severe farsightedness might only be able to see objects that are far away clearly, whereas people with mild farsightedness might be able to see objects that are nearby clearly.
SymptomsBeing farsighted can mean:
Nearby objects might seem hazy
Squinting is required to see clearly.
You experience eye pain or discomfort around the eyes as well as eyestrain.
After performing close work, such as reading, writing, using a computer, or sketching, for a while, you have general eye discomfort or a headache.
A distortion of focusYour cornea or lens must be uniformly and smoothly bent to allow light to pass.
You have a refractive error if your cornea or lens are not uniformly and smoothly curved, which causes improper light refraction.
When your cornea is overly flat or your eyeball is shorter than normal, you develop farsightedness. Nearsightedness has the opposite impact.
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a speeding bullet the fastest commercially available rifle bullet claims a muzzle velocity of 4225 ft/s .
Complete Question
The fastest commercially available rifle bullet claims a muzzle velocity of 4225 ft>s.
(a) what is this speed in miles per hour
The fastest rifle bullet reportedly has a muzzle velocity of 4225 feet per second. This speed is equivalent to 2880.68274 miles per hour in miles per hour.
Given Data:
1 foot = 0.000189394 miles4225 feet = 0.000189394 × 4225 milesNow allow us to locate the space covered by way of the bullet in one secondDistance included via a bullet in 1 second = 0.000189394 × 4225 milesDistance traveled by means of a bullet in 1/3600 hour = zero.000189394 × 4225 milesNow let us find the gap included by way of the bullet in a single hourDistance protected with the aid of a bullet in 1 hour = 0.000189394 × 4225 × 3600 milesthe velocity of the bullet is 2880.68274 miles/hour.Know more about bullet velocity:
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Two vectors of the same magnitude are added; one pointing east, one west. the magnitude of the resultant vector is :_________
Answer:
The magnitude of the resultant vector, two vectors of the same magnitude are added; one pointing east, one west is Zero.
Explanation:
Vector resolution is the process of identifying the magnitude and direction of a vector's components visually or trigonometrically. The magnitudes of the aforementioned vector are due to the fact that the vector sum of all forces must still be zero.
A resultant force can be found by adding two forces together. A single force can be resolved (divided) into two component forces that are at right angles to one another.
A vector quantity with magnitude and direction can be used to represent a force. The pulling force may be resolved using vector diagrams into a horizontal component acting to the right and a vertical component acting upwards (or forces acting in opposite directions).
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What happens to the time to complete a movement if angular velocity is increased?
The time to complete a movement if angular velocity is increased is Angular speed
Angular speed is the price of speed at which an object or a particle is rotating round a middle or a specific factor in a given time period. it's also referred to as rotational pace. Angular pace is measured in attitude in keeping with unit time or radians per second (rad/s). The fee of alternate of angular speed is angular acceleration. let us analyze in extra element approximately the relation among angular speed and linear pace, angular displacement and angular acceleration.Angular pace plays an eminent position within the rotational movement of an item. We already understand that in an item showing rotational movement all the particles circulate in a circle. The linear pace of each collaborating particle is without delay associated with the angular velocity of the entire item.those become as vector products relative to each other. basically, the angular velocity is a vector amount and is the rotational speed of an object. The angular displacement of in a given period of time gives the angular velocity of that item.
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sketch a velocity -time graph for a body thrown vertically upward to a maximum height
The velocity time graph for a body thrown vertically upward to a maximum height is given below:
What is velocity?
The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.
In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). "5 metres per second," for example, is a scalar as opposed to "5 metres per second east," which is a vector.
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Angela runs 30 minutes every day, but her 5k race time is staying the same, and she is not having fun anymore. What should she do to improve?
She should add diversity to her exercise program to keep her from getting bored or lazy.
Because if you are not having fun with it anymore then you stop doing it.Your weekly exercise running mileage should drop the week before the event. Your training now mostly focuses on "saving up" rest so that your legs are prepared for the marathon.
To keep your legs fresh throughout the week, fit in two to three quick runs with a few quick pick-ups—short, snappy portions that get your legs working faster and get you ready for the faster tempo of the race. Take a day off to completely rest two days before the marathon. Do a quick exercise(20-minute) run with up to five 45-second pick-ups the day before the race to tone your legs.
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which of the following are the 2 postulates of relativity? (the other choices are consequences of relativity) a. the laws of nature are the same for all observers in uniform motion. b. the length of a moving object is not the same as when it is at rest. c. the speed of light is constant for all observers in uniform motion. d. two events that happen at the same time in one frame, can happen at different times in another frame. e. e
The correct answer is Option A and C.
The idea that the rules of physics are the same and can be expressed in their most basic form in all inertial frames of reference is the first postulate of special relativity. The assumption that the speed of light, or c, is a constant regardless of the source's relative motion is known as the second postulate of special relativity.
What are Albert Einstein postulates?
In all inertial reference frames, the rules of physics take the same form. Independent of the observer's speed, light moves across empty space at a specific speed (or source). The gravity formalism should be consistent with Newtonian gravity at low speeds.To learn more about postulates of relativity refer the link:
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what is the geometric relationship between the force f and the cross-section area a under consideration?
The cross-sectional area A under consideration is parallel to the force F.
What do you mean by force?An influence that can alter an object's motion is referred to as a force in physics. An object with mass can change its velocity, or accelerate, in response to a force by moving away from rest, for example. Intuitively, pushing or pulling can be used to describe forces. As a vector quantity, a force is one that has both magnitude and direction. It is expressed as a newton in the SI system (N). F is a symbol that stands for force (formerly P). The net force exerted on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original version.
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In the metaphor of the bottle for theory of constraints, which part of the bottle represents the constraint?
In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.
What is metaphor?A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.
Here are the basics:
A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language
The uses of metaphor, and the official definition:
A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar
An object, activity, or idea that is used as a symbol of the something else
Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.
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In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.
What is metaphor?A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.
Here are the basics:
A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language
The uses of metaphor, and the official definition:
A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar.
An object, activity, or idea that is used as a symbol of the something else
Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.
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a person travels by car from one city to another. she drives for 27.6 min at 62.7 km/h, 9.6 min at 115 km/h, 46.1 min at 45.2 km/h, and spends 12.3 min along the way eating lunch and buying gas.
The total distance between the cities is 60.1 Km.
We have a person driving between cities.
We have to calculate the distance between the cities.
What is the formula to calculate Distance travelled ?The formula to calculate the distance travelled is -
D = speed x time = v x t
According to the question -
When she drives at 62.7 km/h, her distance travelled will be -
d(1) = 62.7 x (27.6 / 60) = 28.8 Km
When she drives at 115 km/h, her distance travelled will be -
d(2) = 115 x (9.6 / 60) = 18.4 Km
When she drives at 45.2 km/h, her distance travelled will be -
d(3) = 62.7 x (12.3 / 60) = 12.9 Km
The total distance between the cities -
D = d(1) + d(2) + d(3) = 28.8 + 18.4 + 12.9 = 60.1 Km
Hence, the total distance between the cities is 60.1 Km.
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[ The given question is incomplete. You can access complete question down below -
" a person travels by car from one city to another. she drives for 27.6 min at 62.7 km/h, 9.6 min at 115 km/h, 46.1 min at 45.2 km/h, and spends 12.3 min along the way eating lunch and buying gas. Determine the distance between the cities along this route. ]
for the same percentage error in each of the three quantities, mass, diameter, and length, which would contribute the most to the error in the density
For the same percentage error in each of the three quantities, mass, diameter, and length, mass would contribute the most to the error in the density.
A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. The formula for density is mass divided by volume:
ρ = m / v
The error's absolute value is multiplied by 100%, divided by the accepted value, and then converted to a percent.
Since, the mass is directly related to density so the mass would contribute more to the error in density out of the three quantities, mass, diameter, and length.
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A soccer ball was kicked toward the goal. The horizontal component of velocity was 22 m/s and the vertical component was 12 m/s. What is the magnitude of the resultant velocity of the soccer ball?.
The magnitude of the resultant velocity of the soccer ball is: 25.059 m/s
The formula for projectile motion that we will use to solve this exercise is:
vf= √[v(x)² + v(y)²]
Where:
vf= final velocityv(x)= horizontal component of velocityv(y)= vertical component of velocityInformation about the problem:
v(x)= 22 m/sv(y)= 12 m/svf=?Applying the final velocity formula we have:
vf= √[v(x)² + v(y)²]
vf= √[(22 m/s)² + (12 m/s)²]
vf= √[484 m²/s² + 144 m²/s²]
vf= √[628 m²/s²]
vf= 25.059 m/s
What is projectile motion?The projectile motion is the motion whose trajectory describes a parabola having a horizontal and a vertical component of motion.
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A lithium atom combines with a helium atom to make a new larger atom this is an example of
Answer
Fission.
Explanation:
Fission occurs when a neutron slams into a larger atom, forcing it to excite and split into two smaller atoms, also known as fission products.
Hope this helps u ; )
At the position of the stop-light 4 s after the light had turned green. what is the slowest constant speed which the green car can maintain and still catch up to the blue car? answer in units o
The green car must travel at least 3 m/s in order to catch up to the blue car.
The blue automobile might go slower if the green car is moving faster than it is at the point where the distance between them equals 0. Furthermore, the green automobile will never catch up to the blue car if the blue car moves faster than the green car before they collide.
The blue car's speed as a function of time is given by v(T) = 0.3T. The equation for the position of the green automobile can be rewritten as g(T) = (T-5) *0.3T given the justification for the ideal speed. Set the equations to be equal to one another since we want the distance between the green and blue automobiles to be the same. (T-5) *0.3T = 0.15*T^2 Then, calculate T (T-5) *0.3T = 0.15*T2, where 0.3T2 - 1.5T equals 0.15T2 and 1.5T - 0.15T2 = 0. Our quadratic equation now has the values A = 0.15, B = -1.5, and C = 0.
To determine the roots, which are -4.5 and 10, use the quadratic formula. The interception will happen at T=10 because the number of 10 implies that it will, hence the velocity must be v(T) = 0.3T v (10) = 0.3*10 = 3 m/s. The green car must travel at least 3 m/s in order to catch up to the blue car.
The complete question is- A blue car pulls away from a red stop-light just after it has turned green with a constant acceleration of 0.2 m/s². A green car arrives at the position of the stop-light 7.5 s after the light had turned green. What is the slowest constant speed which the green car can maintain and still catch up to the blue car? Answer in units of m/s.
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a golf ball of mass 0.05 kg travels down the fairway with a velocity of 60m/s what is teh kinetic energy
The kinetic energy will decrease by 4J.
The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.
first-order kinetic energy KE i\s =0.5×m×v
Final Kinetic Energy = 0.5 mV (K.E. 1/2 0.5(3355) =
2/2 KE difference = KE f-KE i
KE difference
Difference in KE = 1/4(925)
Difference in KE = -16/4 = 4J.
Consequently, kinetic energy will decrease by 4J.
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you walk 6 meters to the east. then turn around and walk 4 meters west. find the distance travelled and find the displacement
Answer:
ffghccvvghcgjvccvb
Explanation:
gmvfjbcgijcfub cjjcv
jhggjvchivvvhj
An ideal heat engine absorbs 94.5 kj of heat and exhausts 78.8 kj of heat in each cycle. what is the efficiency of the engine?
The efficiency of the engine is 17%
The answers to this exercise do not depend on the engine being of the Carnot design. Any heat engine that intakes energy as heat (from, say, consuming fuel) equal to
[tex]|Q_{H} |=[/tex]=94.5kJ and exhausts (or discards) energy as
heat equal to [tex]|Q_{L} |=[/tex]78.8KJ
will have these values of efficiency ε and network W
(a) Equation 20-12 gives ε=1- [tex]|\frac{Q_{L} }{Q_{H} }|[/tex] =1-0.8338624339 =0.17 =17%
What exactly does a Carnot engine do?Leonard Carnot proposed the Carnot engine, a theoretical thermodynamic cycle. It calculates the maximum possible efficiency of a heat engine during the process of converting heat into work and, conversely, working between two reservoirs.
Carnot cycle definition
An ideal reversible closed thermodynamic cycle in which the working substance undergoes four successive operations: isothermal expansion to a desired point, adiabatic expansion to a desired point, isothermal compression, and adiabatic compression back to its initial state.If we define the Carnot factor more broadly as the ratio of an active volume to total volume, the condition = 1/2 means that half of the volume is "active."To learn more about Carnot engine refer to
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calculate charlie's displacement on his bicycle if he travels a constant velocity of 8km/h north for 30 minutes
a, 240 km north
b, 4 km north
c, 22 km north
d, 16 km north
e, 38 km north
pls help
Answer:
B 4km north
Explanation:
a horizontal directed force of 252 n is needed to keep a 555-n box sliding on a level wooden floor at a constant speed. what is the coefficient of sliding friction μ?
The coefficient of sliding friction μ is 0.45
Frictional force
The frictional force is a force that prevents an object from sliding. The formula for calculating the frictional force is expressed asl
Ff = μR
where
μ is the required coefficient of friction
R is the normal reaction
Given the following parameters
Ff = 252N
R = 555N
substitute
μ = Ff//R
μ = 252/555
μ = 0.45
Hence the coefficient of sliding friction μ is 0.45
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a rigid tank is divided into two equal parts by a partition. one part of the tank contains 2.5 kg of compressed l
Complete question
A rigid tank is divided into two equal parts by a partition. One part of the tank contains 2.5 kg of compressed liquid water at 400 kPa and 60
60 ∘ C while the other part is evacuated. The partition is now removed, and the water expands to fill the entire tank. Determine the entropy change of water during this process, if the final pressure in the tank is 40 kPa.
Water expands to fill the entire tank. For a final pressure of 10 kPa, the final water temperature is 60°c and the tank volume is 2245.4.
The energy balance:
[tex]E_{in} -E_{out} =[/tex] Δ[tex]E_{system}[/tex]
So, therefore
0 = ΔU [tex]mm(u_{2} -u_{1} )[/tex]
[tex]u_{1} =u_{2}[/tex]
Water's characteristics are listed in tables A = 4 and A-6.
[tex]p_{1} = 600 kpa[/tex]
[tex]T_{1}[/tex] = 60°c
⇒ [tex]v_{1} = v_{f}[/tex]
⇒ 60°c = 0.001017
⇒ [tex]u_{1} =u_{f}[/tex]
⇒ 60°c = 251.16
Confirmed whether we receive quality between 0 and 1.
[tex]P_{2}[/tex] = 10kpa
[tex](u_{2}-u_{1} )[/tex]
We have [tex]v_{f}[/tex] = 0.001010,
v = 14.670
[tex]u_{f}[/tex] = 191.79,
[tex]v_{f}[/tex] = 2245.4
So, therefore, water expands to fill the whole tank. For a final pressure of 10 kPa, the very last water temperature is 60°c and the tank quantity is 2245.4.
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A constriction in a pipe reduces its diameter from 4.0 cm to 2.0 cm. where the pipe is narrow the water speed is 8.0 m/s. where it is wide the water speed is:_______
a. 2.0 m/s
b. 4.0 m/s
c. 8.0 m/s
d. 16 m/s
e. 32 m/s
Option a) 2.0m/s
So, where it is wide, speed is 2 m/s
CalculationAccording to equation of continuity
A1V1 =A2V2
A1= [tex]\pi[/tex][tex](2*10^{-2}) ^{2}[/tex]
A2 = [tex]\pi (1*10^{-2}) ^{2}[/tex]
V2 = 8m/s
solving by the equation, we have
v1 = 2 m/s
Equation of continuityAn equation that describes the movement of a certain amount is known as a continuity equation or transport equation. It can be generalized to apply to any substantial quantity, but it is especially straightforward and effective when applied to conserved quantities.
Since mass, energy, momentum, electric charge, and other natural quantities all remain constant under the proper circumstances, continuity equations can be used to explain a wide range of physical events.
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Enter your answer in the provided box.an empty vial weighs 63.28 g. if the vial weighs 436.33 g when filled with liquid mercury (d = 13.53 g/cm3), what volume of mercury is in the vial?
when filled with liquid mercury (density = 13.53 g/cm3) volume of mercury is in the vial is 88.41 cm3
Once you are aware of the mass of the mercury, you may calculate the volume of the vial by using the density of the mercury to determine its mass. You are aware that the vial including the mercury weighs 439.31 grams.
The vial weighs vial = 50.90 g.
This indicates that the mercury's mass will be 439.31 g - 50.90 g = 388.41 g.
You now understand that the density of mercury is 13.53 g/cm.
Density is the substance's mass per unit of volume. The symbol most often used for density is ρ although the Latin letter D can also be used.
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when a man returns to his well-sealed house on a summer day, he finds that the house is at 35°c. he turns on the air conditioner, which cools the entire house to 20°c in 30 min. if the cop of the air-conditioning system is 2.8, determine the power drawn by the air conditioner. assume the entire mass within the house is equivalent to 80
Answer:
The power drawn by the air conditioner assuming the entire mass within the house is equivalent to 800 kg cv= 0.72 kJ/kgK and c_{p}cp = 1.0 kJ/kgK is 1.71 kW
Explanation:
The entire amount of heat that needs to be removed from the house is given by the expression:
QL = mCvT
m = mass = 800kg
dT = 35-20oC
QL = 800 * (0.72 Kj/Kb.oC) * 15
QL= 8640Kj
To calculate the average rate of heat removal from the house, we use
QL = Ql/dt
QL = 8640Kj/30*60
QL = 4.8 Kw
The total power input to the AC is calculated by;
Win = QL/COP
Substituting in the given value
Win = 4.8 Kw/2.8
Win = 1.71 Kw
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what is the index of refraction of a substance that has a critical angle of 68.4º when submerged in water (n
The refractive index of the substance for the critical angle 68.4° is found as 1.43400055
To find the index of refraction, the given values are:
Critical angle is 68.4°.
What is the refractive index?The refractive index can be defined as the ratio of the speed of light in the medium to the speed in the vacuum.
The formula of the refractive index is as follows:
Where,
n is the refractive index
c is the velocity of light in a vacuum ( 3 × 108 m/s)
v is the velocity of light in a substance
The vacuum has a refractive index of 1. The refractive index of other materials can be calculated from the formula mentioned. Higher the refractive index, the higher the optical density and slower is the speed of light.The refractive index of different media can be listed in the table below:
Material Refractive Index
Air 1.0003
Water 1.333
Diamond 2.417
Ice 1.31
Ethyl Alcohol 1.36
Now, finding the value of refractive index,
As the value of critical angle is given, θ = 68.4°,
θc = Sin ⁻¹ ([tex]\frac{n2}{n1}[/tex])
Considering the given values, n2 = 1.3333
θc = θ = 68.4°
So, n1 = ( n Water) / ( sin θc)
= 1.33333 / sin 68.4°
= 1.43400055
Thus, n1 ca be found as,1.43400055
The refractive index of the substance for the critical angle 68.4° is found as 1.43400055
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She varies the level of noise in the environment and records the blood pressure of each participant. In this experiment, the level of noise is the
It appears that subjective qualitative measurements are insufficient indicators to determine how noise affects cognitive function.
It is highly advised to use novel indicators, such as brain signal analysis and power spectral density analysis, while evaluating cognitive function while exposed to noise. It is recommended that more research be done on the impacts of additional psychoacoustic factors, such as tone and noise pitch (treble or bass) at high exposure levels. "Attention" refers to the active cognitive selecting process. Daily tasks include physical motions, emotional reactions, and perceptual and cognitive processes all heavily depend on attention. When processing of quantitative information is constrained, the attention system regulates behavior of people based on spatial and temporal aspects.
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Two objects undergo simple harmonic motion on a
smooth table. Object B has twice the frequency and
twice the amplitude of object A. How does the
angular speed, maximum speed, and maximum
acceleration of object B compare to that of object
A? Object B has:
a. one-half the angular speed, one-fourth the
maximum speed, and one-sixth the maximum
acceleration of object A.
b. twice the angular speed, quadruple the
maximum speed, and six times the maximum
acceleration of object A.
c. twice the angular speed, twice the maximum
speed, and eight times the maximum
acceleration of object A.
d. twice the angular speed, quadruple the
maximum speed, and eight times the maximum
acceleration of object A.
The acceleration is maximum when the displacement of the object is maximum.
We understand that speed is most when y=zero, displacement is zero, and acceleration is zero, this means that the machine is in equilibrium. therefore, at a factor in simple harmonic motion, the maximum pace can be calculated by the usage of the formulation v=Aω. the rate may be most in easy harmonic movement, while the acceleration is zero.
The pendulum oscillating backward and forward from the suggested role is an example of easy harmonic movement. Bungee leaping is an example of simple harmonic motion. The jumper oscillates up and down in the present process SHM because of the pliancy of the bungee wire.
The maximum displacement of the bob from its implied role. OA or OB is called its amplitude. because the bob is at its lowest position on point O. Its potential power is minimal whilst its kinetic power is maximum.
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If no heat is transferred during the following compression of a gas, what is the sign of w, and does internal energy of the enclosed gas increase, decrease, or remain constant?.
Answer: increase
Explanation:
increase of compression make it hot
a helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation.
The average velocity will be 1.30 x 10⁻² m/ s.
What is velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. As a vector quantity, the velocity requires both the magnitude and the direction.
Given that a helicopter blade spins at exactly 80 revolutions per minute. Its tip is 4.00 meters from the rotational axis.
Use the formula to calculate the linear velocity.
V= d/t
V= velocity
d= distance
t= time
Here d will be the circumference of the blade
d= 2πr
We have:-
80 rev = 1min
1min/ 80= 60s/80
The average velocity will be calculated as below:-
Vavg= 2π( 10m ) / 80 x 60
Vavg= 0.01308 m / s
Vavg = 1.30 x 10⁻² m / s
Therefore, the average velocity will be 1.30 x 10⁻² m/ s.
The complete question is given below:-
A helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation. What will be the average speed of the helicopter blade?
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A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. If air resistance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?.
The speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.
The initial speed of the ball = 20 m/s
Angle to the at which the ball is thrown = 60°
Gravity = 9.81 m/s²
Resistance of the air = 0.
The maximum height reached by the ball above the ground is,
[tex]H = \frac{u ^{2 }sin ^{2}θ} {2g}[/tex]
[tex]H = \frac{20 ^{2 }sin ^{2}60°} {2 \times 9.81}[/tex]
[tex]H = \frac{ 20 \times 20 \times \sqrt{3} }{2 \times 9.81 \times 2}[/tex]
[tex] = 17.6 \: m[/tex]
Thus, the maximum height reached by the ball above the ground is 17.6 m.
The flight time of the ball is,
[tex]t = \frac{2usinθ}{g} [/tex]
[tex]t = \frac{2 \times 20 \times sin60°}{9.81} [/tex]
[tex]t = \frac{2 \times 20 \times \sqrt{3} }{9.81 \times 2} [/tex]
[tex]t = 3.5 \: s[/tex]
Thus, the flight time of the ball is 3.5 s.
The speed of the ball when it reaches it reaches the maximum height from the ground is,
[tex]Speed = \frac{ Distance }{Time}[/tex]
[tex]Speed = \frac{17.6}{3.5} [/tex]
[tex]Speed = 5.02 \: m/s[/tex]
Therefore, the speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.
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Question 12 an earth satellite has a speed of 7.5 km/s and a flight path angle of 10 degrees when its radius is 8000 km. what is the angular momentum (in km 2/s)?
-21.7 km²/s is the angular momentum (in km 2/s) of the earth's satellite.
What is a satellite?
An object that has been sent into orbit in space on purpose is known as a satellite or artificial satellite.Most spacecraft, with the exception of passive satellites, contain a means of generating power for the technology they carry, such as solar panels or radioisotope thermoelectric generators (RTGs).The majority of satellites also feature transponders, which are a type of ground station communication system.The most common satellites, tiny CubeSats, employ a standardized bus to reduce costs and labor. Satellites are made to be as light and durable as feasible due to the high expense of space launch.To learn more about satellites and angular momentum, visit: https://brainly.com/question/19579165
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A boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air equals .....( Where the speed of light in air = 3000000)
I already checked the answer in the answer book it's velocity= 320 m/s but I don't understand how
If anyone can help me please do
If a boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air is 320m/s.
As we know that,
Speed = Distance / Time
Firstly we calculate the time taken by light to travel distance 6 Km.
Given,
Distance = 6Km
Speed = 3000000m/s
Time = D/ S
= 6000/ 3000000
= 0.002s
So, the time taken by light to reach the ground is 0.002s.
Now,
Time taken by sound to reach the ground = time taken by light + 18.749.
0.002 + 18.749
= 18.75
Now, t = 18.75
d = 6km
Speed = 6000/18.75
= 320m/s
Thus, we concluded that if boy heard the thunder 18.74998 seconds after the lightening of a storm which is at a distance 6km , so the speed of sound in air is 320m/s.
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