The rate of change of angle of elevation between the radar station and airplane is - 83.33rad / 109hr
The plane is traveling at 500 mph.
Over the radar station, the aircraft is flying at a height of 6 miles.
the airplane's distance after 10 minutes
distance = speed x time
= 500 mil/hr x 10 min
Since the speed is hour let us convert it to mins
= 500 x 10 x 1/60
= 5000 / 60
= 83.33 miles
Let's thus assume that the aircraft is exactly 3 miles above the radar station at that location.
therefore it is possible to determine the elevation angle between the radar station and the aircraft by
O represents the side that is opposed to the angle of elevation, and tan = O / A.
The angle of elevation's neighboring side is designated as A.
However, in order to determine the rate of change in angle of elevation, let's distinguish between the two sides with respect to time.
sec²∅ d∅/dt = (AdO/dt - O dA/dt)/ A²
d∅/dt =( A (AdO/dt - O dA/dt)) / sec²∅A²
d∅/dt =( 83.33(0)- 10(500mil/hr) ) / sec²( 83.33)²
Since the height will remain constant, the derivative of altitude will be zero while the airplane's travel distance varies over time.
d∅/dt =( 83.33(0)- 10(500mil/hr) ) / 109/100( 83.33)²
We had found the value of sec²θ = (hyp/adj)²
d∅/dt =- 5000rad / 109hr
Now , let us convert in terms of rad/min
d∅/dt =- 5000rad) / 109hr x 60
d∅/dt =- 83.33rad / 109hr
Your question is incomplete but most probably your full question was
'At a moment; plane passes directly above radar station at an altitude of 6 miles and a speed of 500 mph: Suppose 0 is the angle between the line segment joining the plane and the radar station and the horizontal . How fast is 0 changing 10 minutes after the plane passes over the radar station?'
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What is scientifically the most important reason to wear a seatbelt when riding/driving a car?
A.When in a moving car, you too are in motion, and you don't stop if the car crashes
B.To make you a part of the car
C.When in a moving car, you are not in motion, and the seatbelt prevents you from
being in motion
D.It is the law
Correct option is A, When in a moving car, you too are in motion, and you don't stop if the car crashes, So, seatbelt protects you.
Importance of wearing a seatbelt -There is a persistent misconception that it is preferable for passengers to be flung out of a car, far from the scene of the accident. In actuality, those who are thrown from a car have a four times higher risk of dying than those who stay inside.
It holds the strongest body components in place: The hips and shoulders are the strongest body parts in both adults and children. These areas are where seat belts are intended to make contact with the body to offer the best protection.
Seat belts disperse a collision's force: By distributing the impact of a collision over a larger portion of the body, a lap and shoulder belt serves to reduce the strain on any one location.
This can help one avoid suffering a serious injury. Additionally, if you are hit by another car or have to rapidly apply the brakes, a shoulder strap will prevent your head and upper body from striking the dashboard, steering wheel, and other interior portions of the car.
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Two positive point charges q are placed on the x-axis, one at x = a and one at x = -a.
a. Derive an expression for the electric field at points on the x-axis, where ?a < x < a.
b. Derive an expression for the electric field at points on the x-axis, where x > a.
c. Derive an expression for the electric field at points on the x-axis, where x < -a.
The electric field at a point between 2 points is given by
E = 4 k Qax/(a² - x²)² (-i^)
The formula for the electric field at a location on the x-axis is,
E = k Q /r² ---(1)
where,
k is constant
q is magnitude of charge
r is the separation between the charge and the location of the electric field
So, we have to find the electric field at point (x,0) due to the both charges shown in the figure.
Due to point charge at point (-a,0) the electric field is in the positive x direction and due to charge at point (a,0) the electric field is in negative x direction.
E₁ be the electric field due to charge at point (-a,0)
E₂ be the electric field due to charge at point (a,0)
E₁ = k Q/(a + x)² i^
where the unit vector along the x-axis is i^
E₂ = k Q/(a - x)² (-i^)
E₁ + E₂ = k Q/(a + x)² i^ + k Q/(a - x)² (-i^) = -4 k Qax /(a² - x²)² i^
Thus, for a point between -a < x < a, electric field is given by E = 4 k Qax/(a² - x²)² (-i^)
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if the electrical stress across a capacitor is excessive, it will be destroyed. therefore, the ? rating of capacitors should never be exceeded.
A capacitor's voltage would be destroyed if the electric stress across it is too great. Capacitor ratings should not be exceeded because of this.
What is voltage, exactly?An electric circuit's power source exerts pressure known as voltage on charged electrons (current), causing them to flow through a conducting loop and perform tasks like lighting a lamp. The voltage is expressed in volts and is simply equal to pressure (V).
Voltage and power definitions?A conducting wire's two terminals can differ in potential in units of volts. When ever a current from one amp travels over a voltage differential of one volt, the amount of work completed electrically is measured in watts. There is a proportionate relationship between watt and volt. Consequently, watt is precisely proportional to
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In an experiment, one of the forces exerted on a proton is F❝ =❝αx2i^, where α=12N/m2.
A- How much work does F? do when the proton moves along the straight-line path from the point (0.10m,0) to the point (0.10m,0.40m)?
B- How much work does F? do when the proton moves along the straight-line path from the point (0.10m,0) to the point (0.30m,0)?
C- How much work does F? do when the proton moves along the straight-line path from the point (0.30m,0) to the point (0.10m,0)?
The force's contribution to the work done when the proton follows a straight path is given as
a) W = 57.6 × 10⁻²⁹ J
b) W = 1.152 x 10⁻²⁷ J
c) W = - 1.152 x 10⁻²⁷ J
The following formula is used to calculate the work that the force performs when the proton moves along a straight line from point (0.10 m, 0) to point (0.30 m, 0).
W = f r
W = k q²/r² × r
W = kq²/r
where,
q is the charge of the proton
r is the distance travelled by the proton
a) W = (9 × 10⁹)(1.6 × 10⁻¹⁹)²/(0.4 - 0)
W = (9 × 10⁹)(1.6 × 10⁻¹⁹)²/(0.4) = 23.04 × 10⁻²⁹/0.4
W = 57.6 × 10⁻²⁹ J
b) W = (9 x 10⁹)(1.6 x 10⁻¹⁹)²/(0.3 - 0.1)
W = (9 x 10⁹)(1.6 x 10⁻¹⁹)²/(0.2)
W = 1.152 x 10⁻²⁷ J
c) W = (9 x 10⁹)(1.6 x 10⁻¹⁹)²/(0.1 - 0.3)
W = (9 x 10⁹)(1.6 x 10⁻¹⁹)²/(-0.2)
W = - 1.152 x 10⁻²⁷ J
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which requires more force, lifting 3kg vertical distance of 5 m or lifting 6kg load a vertical distance of 2 m
Lifting the 3kg load a vertical distance of 5m requires more force than lifting the 6kg load a vertical distance of 2m.
How to calculate the work done on an object?The work done on an object can be calculated using the formula:
Work = force x distance x cos(theta)
Where force is the force exerted on the object, distance is the distance moved in the direction of the force, and theta is the angle between the force and the direction of motion. The unit of work is Joules (J). To calculate the work done, we multiply the force exerted on an object by the distance moved in the direction of the force.
The work done on an object can be calculated using the formula:
Work = force x distance x cos(theta)
Where force is the force exerted on the object, distance is the distance moved in the direction of the force, and theta is the angle between the force and the direction of motion. The unit of work is Joules (J). To calculate the work done, we multiply the force exerted on an object by the distance moved in the direction of the force.
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Do 26-30! I’ll give brainlist!
26) Energy is a scalar quantity. Option 2
27) Energy is measured in the same unit as work. Option 4
28) The unit that is correctly paired is work. Option 4
29) The unit of gravitational potential energy is Joule. Option 4
30) The greatest gravitational potential energy is possessed by the object that is 6Kg at a height of 5 m. Option 4
31) he gravitational potential energy and the speed decreases. Option 1
What is a quantity?We know that when we talk about a quantity in physics, our minds should be able to go to something that can be measured. In Physics we can be able to classify the quantities that we have into the vector quantities and the scalar quantities.
The vector quantities are the ones that have both a magnitude and a direction while the scalar quantities are the ones that have only a magnitude but do not have a direction that is attached to them.
The unit of the quantity can be used to deduce the dimensions of the quantity that we are looking at and this is key when we are looking at the relationship between the quantities in an equation.
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suppose you throw a ball downwards with a certain initial speed from a certain height h above the ground, and someone else throws a ball directly upward at the same speed, so the two balls collide. will the two balls collide in the middle of the path (h/2), above the middle or below? please explain.
In the center of the pathway h by 2, below the Centre, the two balls clash.
When you throw the ball down, how quickly does it accelerate?9.8 m per s down .When an is thrown or dropped, the gravitational laws and relative motion are essentially the same. All three are comparable in that the ball always accelerates downward at a 9.8 m per sec rate, regardless of how it is dropped or tossed.
Is the ball accelerating or decelerating as it descends?The speed of an object falling downward, toward the attraction of gravity, increases with each passing second. However, if the object's original velocity was upward, it slows by around 10 m per sec for every second that passes.
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Which event may occur when ocean salinity increases? (its not multiple choice)
1. mass of water increases
2. freezing point of water increases
3. sunlight in deeper locations decreases
4. amount of dissolved gases in water increases
Ocean salinity increases when the freezing point of water rises. More salt is dissolved in the water as the salinity rises, increasing the mass of the entire solution.
The freezing point of water decreases as salt concentration increases. Because of the large amount of solute, sunlight cannot penetrate to the deeper layer of water. The water becomes denser overall. A essential quality of a body is its mass. Ocean salinity increases when the freezing point of water rises. More salt is dissolved in the water as the salinity rises, It was widely believed to be connected to the volume of matter in a physical body before to the atom's discovery and the development of particle physics. Theoretically, the same chemical might be included in different atoms and elementary particles.
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Tatiana wrote a report for science class. Read these sentences from her report: Mars rotates nearly as fast as planet Earth. It is also tilted on its axis like Earth. The transition also is used to show what kind of relationship between the two ideas
Mars rotates nearly as fast as planet Earth, and its axis is also tilted just like the earth's axis. These ideas show the similarity of mars days and environment and the Earth's days.
Mars's radius is about 2106 miles, making it half the size of the earth. Its one rotation on its axis takes 24.6 hours, which is very close to the earth's day duration(23.9 hours). Mars days are called sols. Mars orbits around the sun in 669.6 sols, which is equivalent to 687 days of earth. Mars also has many terrestrial similarities like mountain, valleys, weather, etc. But the duration of various seasons on mars is longer than that of the earth.
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A rocket is sitting on the launchpad, preparing to launch. What form(s) is the energy in? Check all that apply
Chemical Potential Energy Gravitational Potential Energy Elastic Potential Energy
Kinetic Energy
Thermal Energy
Rocket fuel, which is used in chemical combustion reaction, is a sort of chemical potential energy that is stored in rockets.
How much chemical potential energy is there?The energy that a substance has stored in its chemical bonds is known as chemical potential energy. When gas is burned in a regulated manner in the car's engine, a significant quantity of the chemical potential energy that's also present in the many compounds that make up petroleum is released.
What increases the potential energy of chemicals?There are multiple processes involved in a chemical reaction: First, two bound atoms acquire energy in some form, typically heat or light. Their chemical link is broken as a result, boosting their energy potential.
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Let A represent the ball moving at 2.00 m/s, and call that direction the positive direction. Let B represent the ball moving at 3.60 m/s in the opposite direction. Thus, VA =2.00 m/s and VB=-3.60 m/s. Use Eq. 7-7 to obtain a relationship between the velocities.
VA-VB=-(V’A-V’B) → V’B = 5.60 m/s+ V’A
Substitute this relationship into the momentum conservation equation for the collision, noting that MA=MB
Answer:
So the velocity of ball A after the collision is 1.80 m/s.
Explanation:
The momentum conservation equation for a collision is given by the equation:
MAVA + MBVB = MAV'A + MBV'B
Substituting in the given values, we have:
MA2.00 m/s + MB(-3.60 m/s) = MAV'A + (MB(5.60 m/s + V'A))
Since MA=MB, we can simplify the equation further:
2.00 m/s + (-3.60 m/s) = V'A + (5.60 m/s + V'A)
Solving for V'A, we get:
V'A = 1.80 m/s
So the velocity of ball A after the collision is 1.80 m/s.
A helicopter,which was assending vertically at a steady velocity of 20meter per second,released a parcel that took 20seconds to reach the ground .state the direction in which the parcel moved immediately it was released
Answer:back
Explanation:Velocity =d/t
D=vt
=20x20=400m
(e) suppose that when an apparatus with arms of length 20 m, and using light with a wavlength of 530 nm, is rotated by 90 degrees, a single fringe shift is observed. how fast is the apparatus moving with respect to the aether?
The apparatus is moving at a velocity of approximately 17.7 m/s with respect to the aether.a single fringe shift is observed. how fast is the apparatus moving with respect to the aether.
What is velocity ?
Velocity is a measure of the rate and direction of change in the position of an object over a period of time. It is a vector quantity, which means it has both magnitude and direction.
Velocity is usually expressed as a vector, which uses both a magnitude and a direction. Common units of velocity are meters per second (m/s), kilometers per hour (km/h) and feet per second (ft/s).
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a force vector has a magnitude of 40 n and points at an angle of 300 above the positive x-axis. what are the x and y components of the vector (fx, fy)?
Another method for locating vector components is to use the angle measured in the opposite direction from the +x axis. Then, the x-component will always be cos and the y-component will always be sin.
What is the resultant vector's formula?
R = A + B. Instance 2 To create the resulting vector, two vectors facing the opposite direction are subtracted from one another. Here, the vector B is pointing in the opposite direction of the vector A, and the resulting vector is called R.
What is the equation for a vector's component form?
Form of Component: A vector's component form is represented as v=vx,vy, where vx is the distance between the initial and terminal points in a horizontal direction and vy is the distance in a vertical direction.
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a 1.0-kilogram mass gains kinetic energy as it falls freely from rest a vertical distance, d. how far would a 2.0-kilogram mass have to fall freely from rest to gain the same amount of kinetic energy?
A mass of 2.0 kg must fall freely from [tex]\frac{1}{2}[/tex] d to gain the same amount of kinetic energy as 1.0 kilograms of distance d.
Kinetic energy describes the power of moving particles within a system or an object. In contrast to potential energy, which is independent of other stationary and moving objects in its immediate surroundings, kinetic energy is related to other objects. For instance, the object's kinetic energy will be higher if it is placed at a higher height or distance.
KE = PE
PE = mgh
m = mass of the object
g = (9.8 m/s²)
h = the height
a 1.0-kilogram mass to gain the same amount of kinetic energy:
KE₁ = KE₂
mgh₁ = mgh₂
(1.0) (9.8) (d) = (2.0) (9.8) (h₂)
h₂ = [tex]\frac{1}{2}[/tex] d
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A migrating bird can travel at a speed of 30meter per second, how far Will it travel in 25minutes at this speed . give your answer in meters and in kilometers plss I need this answer in 15minutes
45 kilometres far Will it travel in 25minutes at this speed .
how far will it travel ?When a bird is migrating, its speed is 30 m/s, thus we must calculate how far it will fly. The distance we need to calculate should be in metres as well as kilometres in 25 minutes of journey time. The distance in metres will be calculated first in this case. Let's convert this time to seconds for that. Therefore, there will be 25 times 60 seconds in a minute. Given that there are 60 seconds in each minute, that is 15:00. Now that we have this equation, the distance here will be determined by multiplying it by the number of metres because we are treating all of the units as one. It will be 30 times 1500 miles. And if we multiply 1500 by 30, we get 45,000 metres as the distance. Now that we are aware that one mile is made up of 1000 metres, we may convert this distance to kilometres. Thus, we just divide this 45,000 by 8000. in order to convert the kilometres to 45.To learn more about speed refer to:
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a 15 g particle is moving to the left at 20 m/s . how much net work must be done on the particle to cause it to move to the right at 33 m/s ?
The net work done required to make the particle move form left to right is found to be 51.67 Joules.
The particle of mass 15 gram is going to left at a speed of 20m/s.
We have to make the particle move to right at speed of 33m/s.
The work done will be calculated as,
Work done = change in kinetic energy
Work done = final kinetic energy- initial kinetic energy
W = M/2(V²-U²)
Where,
V is the initial speed,
U is the final speed,
M is the mass,
W is th net work done.
Putting values,
W = 0.15/2((33)²-(20)²)
W = 51.67 Joules.
So, the net work done is 51.67 Joules.
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Application of refraction of waves (at least 2 pls.Assignment to summit tomorrow and have test)
For numerous purposes, including magnification, a lens creates a picture of an object by refraction. People with poor vision use glasses that work on the refraction principle.
What is refraction?Refraction occurs when light bends or changes direction as it passes through one material and then another. For instance, when light strikes water after passing through the air, it refracts. As a result, a straw in a glass of water may appear bent at the water's surface. Some surfaces don't refract light or reflect it.
What causes refraction to occur?Refraction occurs as a result of variations in wave speed. In a denser substance like glass, light moves more slowly (in comparison to the speed it moves in the air). To keep the frequency constant, the wavelength will also shorten. Shallower water has slower-moving waves.
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a flea jumps by exerting a force of straight down on the ground. a breeze blowing on the flea parallel to the ground exerts a force of on the flea. find the direction and magnitude of the acceleration of the flea if its mass is . do not neglect the gravitational force.
21.31 m/s2 is the amount of acceleration. The graphic clearly depicts the direction, which is southeast.
What is the formula for acceleration?
The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2).
Explain what acceleration is.
acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because the direction is always shifting.
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Jessica is studying star constellations in the night sky. one evening she observes the constellation ursa major to the north. another evening she cannot find it at all. all of the following reasons can explain this except.
The constellation Ursa Minor, which includes the "Little Dipper" constellation, is where Polaris is found. The star at the Little Dipper's handle's tip is Polaris.
What is Night sky?However, the Little Dipper is frequently dim and might be difficult to spot. Finding Polaris is made simple by locating the Big Dipper's seven stars in the constellation Ursa Major, sometimes known as the Big Bear. A little bowl with a long handle is formed by these stars.
Follow the Big Dipper's stars from the handle down the edge of the bowl, to the bottom of the bowl, and up the opposite side; Dubhe and Merak, the two stars that make up the second side, point to Polaris. Polaris, take the distance between Dubhe and Merak.
About half of the stars closest to our Sun are known to be in numerous systems (two or more stars). About 5 to 10 percent of the stars we can see are "visible binaries," or pairs of stars that may be seen together through a telescope.
Therefore, The constellation Ursa Minor, which includes the "Little Dipper" constellation, is where Polaris is found. The star at the Little Dipper's handle's tip is Polaris.
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an astronaut is on the international space station, orbting the earth. which statement is true? a the centripetal force on the station is equal to the centripetal force on the astronaut b the astronaut has an acceleration of zero c the outward pull on the astronaut is equal to the inward pull of gravity on the astronaut d none of these are true e the astronaut experiences a force of gravity that is the same as she would experience on the surface of earth f if the astronaut dropped a tool, she would see it fall in a curved path because the space station is accelerating centripetally
Astronauts and their spacecraft still have mass and are subject to the effects of Earth's gravity while they are in space. Even though the gravitational pull of Earth is weaker in space than on the Earth's crust,
Who or what are astronauts?
Astronaut is a term for a person who has traveled to space that is formed from of the Greek words meaning "star" and "sailor." More precisely, in the West, the term "astronaut" refers to space travelers from the U.s, Canada, Europe, or Japan.
What are the names of Indian astronauts?
Vyomanaut, also known as vyomanauts (rare, chiefly India) An Indian astronaut is a person who participates in the Indian space program.
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A Lego train moves 1. 25 m east and then 0. 75 m west along its track in 8 seconds. Determine the average speed and the average velocity of the train
The average speed and the average velocity of the train are 1.34m/s and 0.0625 m/s respectively.
Why is average speed equal to average velocity?Average speed is the total distance traveled by an object to the total time taken. However, average velocity is the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. Hence, the average speed and average velocity are equal if the total displacement is equal to the total distance that is if the body travels along a straight line without changing the direction.
Total distance /time = Average speed
=> Average speed = (1.25 + 0.75)/8
=> 1.34m/s.
Total displacement/ time = Average velocity
=> (1.25 - 0.75)/8 => 0.0625 m/s
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how is physics related to chemistry and biology
a 0.300 kg yo-yo hangs at the end of a 0.25 m long string. the yo-yo and string are whirled around such that they are rotating in a vertical plane. the velocity of the yo-yo at the top of the path is 4.00 m/s. what is the tension in the string at that top of the path?
G = 9.8 m/s2 is the gravitational acceleration. Yo-weight yo's is m = 0.3 kg. The string's length is L = 0.25 meters. Yo-top-of-the-path yo's velocity is equal to 4 m/s. At the top of the walkway, there is tension in the string.
In simple terms, what is gravitational force?
Any two mass-containing objects are attracted to one another by the gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive. d
What is gravity, and what does it look like?
The term gravitational force refers to the force that the earth exerts on a body. A ball that is tossed up goes up in the air, as do the leaves and fruits that fall from a tree downward towards the ground.
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a 1 mf capacitor is fully charged with a 12 v battery. the battery is then removed and the capacitor is connected to an uncharged 2 mf capacitor. after the system reaches equilibrium, what will be the charge on the 1 mf capacitor?
After the system reaches equilibrium, the charge on the 1 mF capacitor will be 4 mC.
Since Q = CV, we see that the battery delivers (1 mF)(12 V) = 12 mC to the capacitor.
After the battery is removed and the second capacitor is connected, some of this charge will flow to the new capacitor.
Equilibrium is established when the potential difference, or voltage, is the same across each capacitor.
The two capacitors share 12 mC of charge and, since Q C, the 2 mF capacitor should get twice as much charge as the 1 mF capacitor: 8 mC vs. 4 mC.
What do you mean by capacitance?
Capacitance is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Capacitors are energy-storing devices available in many sizes and shapes.
What is the charge q on the capacitor?
The charge Q on the plates is proportional to the potential difference V across the two plates. The capacitance C is the proportional constant,
Q = CV, C = Q/V.
What are Q and V in capacitance?
The amount of charge that can be stored on each conducting plate of a capacitor can be calculated using the formula q = CV where q is the charge, C is the capacitance and V is the voltage.
Thus, the charge on the 1 mf capacitor is 4 mC.
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if you scuff electrons from your feet while walking across a rug, are you now negatively charged or positively charged?
If you scuff electrons from your feet while walking across a rug, you will become positively charged.
What is triboelectrification?Triboelectrification is the process by which two firstly uncharged bodies come charged when brought into contact and also separated.
This is because the friction between your feet and the rug causes electrons to get transferred from the rug to your feet. Since electrons carry a negative charge, and you have lost some electrons, you now have a net positive charge. The rug will be negatively charged because it has gained electrons. This process is popularly known as triboelectrification, which occurs commonly in nature.
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You get positive charge after walking on a rug since you lose electrons while doing so. The root cause of this is triboelectrification.
What is triboelectrification?Triboelectrification is the process by which two initially uncharged bodies become charged when brought into contact and then separated.
This is because the friction between your feet and the rug causes electrons to be transferred from the rug to your feet. Since electrons have a negative charge and you have lost part of your electrons, you now have a net positive charge. The carpet will now be negatively charged as a result of picking up electrons. It is frequently called as triboelectrification and occurs frequently in nature.
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what is the speed of an electromagnetic wave with a frequency of 1.33 x 10 ^17 hz and a wavelength of 2.25 nm?
2.99x10^8ms is the speed of an electromagnetic wave with a frequency of 1.33x10^17Hz and a wavelength of 2.25nm.
What is electromagnetic wave?
Electromagnetic waves are undetectable shapes of vitality that travel in spite of the fact that the universe. In any case, you'll be able "see" a few of the comes about of this vitality. The light that our eyes can see is really portion of the electromagnetic range.
Given,
Frequency of wave = 1.33x10 ^17Hz =1.33x10 ^17s^-1
Wavelength of wave = 2.25nm=2.25x10 ^-9m
Formula utilized :
v=c/λ
where,
v = recurrence of light
λ= wavelength of light
c = speed of electromagnetic wave = ?
Now put all the given values within the over equation, we get:
1.33x10 ^17s^-1 =c/2.25x10 ^-9m
c=(1.33x10 ^17s ^-1) x (2.25x10 ^-9m)
c=2.99x10 ^8m/s
Therefore, the speed of electromagnetic wave is 2.99x10^8ms
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As a promotion for the Houston Astros downtown ballpark, a competition is held to see who can throw a baseball the highest from the front row of the upper deck seats, 83ft above field level. The winner throws the ball with an intitial vertical velocity of 92ft/sec and it lands on the infield grass.
A) Find the maximum height of the baseball
B) How much time is the ball in the air?
C) Determine its vertical velocity when it hits the ground?
The maximum height of the baseball, time is the ball in the air and vertical velocity when it hits the ground are 215.25ft, 6.543s and -117.4ft/s respectively.
What is velocity, exactly?The displacement that an object or particle undergoes with respect to time is characterized vectorially as velocity. The metre per second (m/s) is the recognised unit of velocity magnitude (also known as speed). Alternately, the quantity of velocity can be represented in centimetres per second (cm/s).
a=g= -32ft/s^2
vi = 92ft/s
vf= 0ft/s
vf=vi+axt
0= 92-32xt
t=> 2.875s
di = 83ft
vi = 92ft/s
a=g= -32ft/s^2
t=> 2.875s
d= 83+ 92x 2.875 -0.5 x 32 x (2.875^2)
=> 215.25ft.
B) 0 = 215.25 + 0xt - 0.5 x 32 x t^2
t=> 3.668s.
total time => 2.875 + 3.668s. => 6.543s.
c) vf=vi + axt
vi = 0
vf= -32x3.668 => =-117.4ft/s (falling down)
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the length of perpendicular from the centre of a circle to a chord is 9 cm, if the length of the chord is 24 cm, find the radius and the circumference of the circle
the radius and the circumference of the circle
After solving the equation: The circumference of the circle is 159.7 cm.
What is circumference?Circumference is the distance around the edge of a two-dimensional shape or a three-dimensional object such as a circle or sphere. It is calculated by multiplying the diameter of the circle or sphere by the number pi (π).
Radius: Let AB be the chord of the circle with centre O.
We are given that the length of perpendicular from the centre O to the chord AB is 9 cm.
Let r be the radius of the circle.
We know that the line segment joining the centre of a circle to any point on the circle is the radius.
Therefore, in triangle OAB,
r = 9 cm (given)
AB = 24 cm (given)
By using Pythagoras Theorem in triangle OAB, we get
r2 = (9 cm)2 + (24 cm)2
r2 = 81 + 576
r2 = 657
r = √657
r = 25.6 cm
Therefore, the radius of the circle is 25.6 cm.
Circumference:
We know that the circumference of a circle is given by the formula
Circumference = 2πr
Therefore, the circumference of the circle is
Circumference = 2π × 25.6 cm
Circumference = 159.7 cm
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a basketball player makes a jump shot. the 0.6 kg ball is released at a height of 2 m above the floor with a speed of 7.2 m/sec. the ball goes the net 3.1 m above the floor with a speed of 4.2 m/sec. what is the work done on the ball by air resistance?
The work done by air resistance is always negative because it is always opposing the motion of the object, so the work done on the ball by air resistance will be negative. The work done on the ball by air resistance is ΔK = -10.26 J.
Describe the mechanism of air resistance.A pressure that is brought on by air is called air resistance. An object traveling through the air experiences the force in the opposite direction. A sports vehicle with a streamlined form will face less air resistance than a lorry with such a flat front, enabling the latter to travel faster.
What creates air resistance, and how does it work?Causes of Air Resistance Air resistance also referred to as "drag," is an air-generated force. An item slows down when air specks strike the front of it. The more air particles that impact the object as well as the larger it's surface area, the more resistance it will encounter.
To calculate the work done on the ball by air resistance, we need to use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
The initial kinetic energy of the ball is given by:
K_i = 0.5 * m * v^2
where m is the mass of the ball (0.6 kg) and v is the initial velocity (7.2 m/s).
K_i = 0.5 * 0.6 * 7.2^2
K_i = 15.55 J
The final kinetic energy of the ball is given by:
K_f = 0.5 * m * v^2
where m is the mass of the ball (0.6 kg) and v is the final velocity (4.2 m/s).
K_f = 0.5 * 0.6 * 4.2^2
K_f = 5.29 J
The change in kinetic energy is given by:
ΔK = K_f - K_i
ΔK = 5.29 - 15.55
ΔK = -10.26 J
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