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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if a 1,000 kg car is acceleration at a rate of 4 m/s 2 and experiencing 300 n of drag force, how much force do the engines have to produce? ignore any frictional effects with the road.
The force do that the engines have to produce is 4,300 N. The result is obtained by using the Newton's second law.
What is Newton's second law?The Newton's second law states that "The acceleration is directly proportional to the net force acting on an object and inversely proportional to the object's mass." It can be expressed as
a = ∑F/m
or
∑F = ma
Where
∑F = net forcea = accelerationm = object's massA 1,000 kg car is accelerated at a rate of 4 m/s². It experiences 300 N of drag force. Find the force do that the engines have to produce!
We have
m = 1,000 kga = 4 m/s²fd = 300 NLike friction, drag force is the force acting opposite to the motion of an object.
Using the Newton's second law, we will get the force have to produce.
∑F = ma
F - fd = ma
F = fd + ma
F = 300 + 1,000 × 4
F = 300 + 4,000
F = 4,300 N
Hence, the engines have to produce the force of 4,300 N.
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Which statement about scientific notation is true?
A. It provides a way of measurement without units.
B. It is a system of mathematical symbols used to describe energy
and matter.
mangelen
ADMINIS
PARENT
O C. It allows scientists to invent new units of measurement.
D. It allows scientists to make calculations more easily.
Answer:
D.It allows scientists to make calculations more easily
Explanation:
For example; the number 0.00236 is written in scientific notation as 2.36×10−3 or as 2.36E-3. This helps mathematicians and scientists work easily with too large or too small numbers.
A spring-loaded toy is released, and the force from the spring accelerates a 1 kg ball from rest to a velocity of 200 m/s.
What was the impulse experienced by the ball?
The impulse experienced by an object is the force applied to it multiplied by the time during which the force is applied. In this case, the impulse experienced by the ball is equal to the force exerted by the spring on the ball multiplied by the time over which the force is applied. Since the force is equal to the mass of the ball multiplied by the acceleration of the ball, we can use the following equation to calculate the impulse:
Impulse = Force x time = (mass x acceleration) x time
We know that the mass of the ball is 1 kg, and the final velocity of the ball is 200 m/s, but we don't know the time of the acceleration, so we need more information to calculate the impulse.
Another way to calculate the impulse is using the change of momentum principle. The impulse is equal to the change in momentum. The change in momentum = final momentum - initial momentum = m * vf - m * vi = m * (vf - vi)
Since the initial velocity was 0 and the final velocity is 200 m/s, the impulse is equal to m * vf = 1 kg * 200 m/s = 200 Ns
So, the impulse experienced by the ball is 200 Ns
I hope this helps :)
Explain the terms 'in phase' and 'out of phase'
Answer: Both are difference in angles.
Explanation:
Both are difference in angles.
If two waves are moving with same angles with time the they are called in phase, if moving with different angles with time then they called as out of phase.
An 65 kg Olympic runner leaps over a hurdle. The acceleration of gravity is 9.81 m/s 2 . If the runner’s initial vertical speed is 2.9 m/s, how much will the runner’s center of mass be raised during the jump? Answer in units of m.
The vertical height in which the runner’s center of mass is raised during the jump is 0.43 m.
What is the vertical height reached by the runner?
The vertical height reached by the runner is calculated by applying the third kinematic equation as shown below.
Mathematically, the formula is given as;
v² = u² - 2gh
where;
v is the final velocity of the runner at the maximum heightu is the initial velocity of the runnerg is acceleration due to gravityh is the height reached by the runnerat maximum height, the final velocity, v = 0
The vertical height reached by the runner is calculated as;
0 = u² - 2gh
2gh = u²
h = u² / 2g
h = ( 2.9² ) / ( 2 x 9.8 )
h = 0.43 m
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I GIVE BRAINLIST
At the top of a frictionless inclined plane, a 0.50-kilogram block of ice possesses 5.0 joules of gravitational potential energy with respect to the bottom of the incline. After sliding halfway down the plane, the block's gravitational potential energy is _______.
The potential energy of the block at halfway down the incline is 2.5 J.
What is the block's gravitational potential energy?The gravitational potential energy of the block is calculated by applying the principle of conservation of energy as show below.
Mathematically, the formula for conservation of energy is given as;
E = K.E + P.E
where;
K.E is the kinetic energyP.E is the potential energyBased on law of conservation of mechanical energy, the block will possess maximum potential energy at the maximum height and zero kinetic energy. Also at the half way down the fall of the block, it will have equal kinetic and potential energy.
Finally, at the bottom of the incline the block will have maximum kinetic energy and zero potential energy.
The potential energy of the block at halfway down the incline is calculated as;
P.E = K.E = ¹/₂ x 5 J
P.E = 2.5 J
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When a car is at the top of a circular path, there are two forces acting on it. What is the Net Force towards the center of the circle
In order for the car to move inside the circular route, the net force acting on it at the peak of the motion is at the circle's centre.
Newton's second law states that acceleration requires a net force that is not zero. An item travelling along a circular path experiences acceleration that is focused on the circle's centre. As a result, the centre is also the direction of the net force. The centripetal force is a common name for this net force.
The centripetal force needed for circular motion is produced as an car turns by the friction force acting on the car's rotated wheels.
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depending on the wavelength, laser energy is emitted in very specific portions of the electromagnetic spectrum. where in the spectrum do most dental lasers operate?
With emission wavelengths ranging from 500 to 10,600 nm, all dental lasers now on the market can be classified as either visible or invisible (infrared) nonionizing radiation.
Most dental lasers work in the visible and ultraviolet ranges of the electromagnetic spectrum. The sign, with nm units, stands for the laser wavelength. It is dictated by the resonator length of the chip structure and the crystal material's bandgap. The wavelengths of ultraviolet radiation used in lasers range from 180 to 400 nanometers (nm). Radiation with wavelengths between 400 and 700 nm makes up the visible range. A particular kind of laser made for use in oral surgery or dentistry is known as a dental laser.
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In the circuit shown in the figure (Figure 1) find.
A) the current in resistor R
B) the resistance R
C) the unknown emf E
C)If the circuit is broken at point x, what is the current in resistor R?
From the given circuit the current in resistor R is 2A, the resistance R is 5ohm, the unknown emf E is 42V and if the circuit is broken at point x, the current in resistor R is zero.
Given the diagram, the voltage passing through resistor R (V) = 28V
The current passing through resistor R is = I1
The resistance of second resistor (R2) =6 ohm.
The current passing through R2 = 4A
The resistance of third resistor (R3) = 3 ohm
The current passing through R3 = 6A
The emf at resistor R2 = e
Here we can see that current passing through R3 is split into I1 and I2 such that I1 + I2 = I3. Then, I1 + 4 = 6A
I1 = 2A
(a) The current in resistor R = 2A
(b) From ohms law we know that V = IR. Then V1 - I3R3 -I1R1 = 0
28 - (3 x 6) - (2 x R) = 0. then R = 5ohm.
The resistance R = 5 ohm
(c) Similarly, e - (3 x 6) - ( 6 x 4) = 0
Then e = 42V
The unknown emf = 42V
(d) When the circuit is broken at x, that branch is eliminated from the circuit. It will stop carrying current. The distribution of currents and voltages in the other portions of the circuit will vary as a result.
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The magnitude of the gravitational force acting on an object is called:
Answer:
Explanation: the magnitude of the gravitational force acting on an object is called weight..
adolf and ed are wearing harnesses and are hanging at rest from the ceiling by means of ropes attached to them. face to face, they push off against one another. adolf has a mass of 120 kg, and ed has a mass of 73 kg. following the push, adolf swings upward to a height of 0.48 m above his starting point. to what height above his own starting point does ed rise?
When Adolf swings, kinetic energy is converted to potential energy kg = 4,204.8m/s
What exactly does kinetic energy mean?The energy a thing has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must make an effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, steady velocity.
Consider Adolf
KG= M
120kg
73kg
0.48m
kg=120 *73kg*0.48m/s
kg = 4,204.8m/s
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An electron at point A in (Figure 1) has a speed v0 of 1.40×106 m/s . a. Find the magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B. b. Find the time required for the electron to move from A to B. c. What magnetic field would be needed if the particle were a proton instead of an electron?
Therefore, 1.61 x 104 T of magnetic field is required to make the electron travel in a semicircle from point A to point B.
What is a magnetic field, exactly?
The area in which the force of magnetism acts around a magnetic material or a moving electric charge is known as the magnetic field. a diagram that shows the magnetic field and how a magnetic force is distributed inside and outside of a magnetic substance.
What causes a magnetic field to exist?
The same poles repel one another whereas opposite poles are drawn to one another. The north-seeking poles of the iron's atoms line up in the same direction when it is rubbed against a magnet.
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the radius of an unknown planet is 3 times that of earth. if the planet has the same density as earth, what is the gravitational acceleration on its surface?
The gravitational acceleration on the surface of the planet is 29.43 m/s², if the radius of the planet is 3 times that of the earth.
Let the radius of the earth = R
Then, the radius of the planet = 3R
Let the density of the earth = d
Density of the planet is also d,
Acceleration due to gravity in terms of radius of the planet and the density of the planet, g₁ = (4/3)×πRdG
Acceleration due to gravity of earth, g = 9.81 m/s²
9.81 = (4/3)×πRdG
Let the acceleration due to gravity of the planet = g₁
g₁ = (4/3)×π×(3R)×d×G
g₁ = 3×9.81
g₁ = 29.43 m/s²
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What does the pressure at a point in a fluid depend on? Select all that apply: The depth of that point within the fluid. The pressure at the fluid's surface. The density of the fluid: The weight of the fluid directly above that point
The depth of that point within the fluid, the pressure at the fluid's surface, the density of the fluid, and the weight of the fluid directly above that point.
What is fluid?Fluid is a state of matter that is characterized by its ability to move and take on the shape of its container. Fluids are composed of particles that are free to move about, and can also exist as a gas or a liquid. Fluids are an important part of everyday life, with applications ranging from transportation of goods to the operation of complex machinery. Fluids are also used to study the behavior of particles in motion, as well as to understand the properties of matter in general.
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A vertical spring scale can measure weights up to 240 N . The scale extends by an amount of 14.5 cm from its equilibrium position at 0 N to the 240 N mark. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.50 Hz .
Ignoring the mass of the spring, what is the mass m of the fish?
Express your answer in kilograms. My ans is 408396.82 kg and it is wrong
The mass of the fish is 6.71kg.
First, we will calculate the angular speed of the system:
w = 2πf
where,
ω = angular speed = ?
f = frequency = 2.50 Hz
Therefore,
w = 2 π * 2.50
w = 15.7 rad/s
Now, we will use Hooke's Law to find out the spring constant of the spring:
K=f/Δx
where,
K = spring constant =?
F = force applied = maximum weight = 240 N
Δx = extension = 14.5 cm = 0.145 m
Therefore,
K=1655N/m
Now, we will use the formula for the angular speed of a spring-mass system to find out the mass of the fish:
w = [tex]\sqrt{k/m}[/tex]
m = k/w²
m = 1655/(15.7)²
m = 6.71kg
What is Hooke's law in simple terms?Hooke's law states that the amount of force applied to an elastic object is proportional to how far it stretches. However, if the object is overstretched it will not spring back. Hooke's Law only applies if an elastic object is not overstretched.
What is the spring constant k value?The letter k represents the “spring constant,” a number that essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.
Thus, the mass of the fish is 6.71kg
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Determine the resultant couple moment acting on the beam.400 N
400 N
200 N
0.2 m
200 N
-3 m
-2 m-
300 N
300 N
The resultant couple moment acting on the beam is found to be 740Nm.
What does a beam's moment mean?When a force is applied perpendicular to a point at a specific distance from that point, a moment is a rotational force that results. It is computed by multiplying the perpendicular force by the separation from the point. A bending moment is just the bend brought on by a moment in a beam.
M resultant couple moment = F x d
= (300 x 5 + 200 x 0.2 - 400 x 2)
=> 740Nm.
What does beam response force mean?A building experiences a reaction force when it rests against another object. Calculating the reaction forces at the supports as a result of the forces operating on the beam is a necessary step in the analysis of a beam structure. The reaction forces can be calculated using a free body diagram of the entire beam.
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what happened when you pushed the magnets together? what happens when you let go? when i pushed the magnets together, i felt when i let go, the spacecraft magnet
When magnets are pushed together, the north poles of one magnet will repel the north pole of the other magnet, and the south pole of one magnet will repel the south pole of the other magnet. This is known as repulsion.
When magnets are let go after being pushed together, they will naturally move away from each other as the repulsion force is no longer being applied. This is known as "releasing."
When two magnets are brought close to each other, the invisible lines of magnetic force, called magnetic fields, interact with each other. Opposite poles, such as the north pole of one magnet and the south pole of another magnet, are attracted to each other. This phenomenon is known as attraction. On the other hand, similar poles, such as the north pole of one magnet and the north pole of another magnet, will push away from each other. This is known as repulsion.
When magnets are pushed together, the repulsion force between them is greater than the attraction force. This is why they will move away from each other when they are let go. However, if the magnets are very strong or if they are physically prevented from moving away from each other, they will not move away from each other when they are let go.
In addition to this, the strength of the magnetic field decreases as you move farther away from the magnet, so the farther apart the magnets are, the weaker the force of attraction or repulsion between them will be.
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A balloon is climbing vertically upwards with a constant velocity of 4.2ms".
a sandbag is dropped from the balloon and hits the ground 3.6 seconds later.
calculate or find:
a) velocity of the sandbag as it hits the ground.
b) height of the sandbag at the instant that it is dropped.
The sandbag is tumbling down while the balloon is rising. Motion is present in both the uphill and downward 108m directions.
What is an easy way to define velocity?Velocity is a vector representation of a particle's or object's motion with regard to time. The standard unit measuring velocity magnitude is the meter per second, which is commonly referred to as speed.
What is a good instance of velocity?Simply said, velocity is the rate of motion of an object in a specific direction. Using an automobile driving north on the a highway as an example, or a rocket after it has launched, as an example of speed.
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Describe a situation in which work is done on an object.
Answer:
Explanation:
A situation in which work is done on an object would be when a mechanic is performing maintenance on a vehicle. The mechanic would be responsible for inspecting the vehicle, replacing necessary parts, and performing any necessary repairs. This would involve using tools such as wrenches, screwdrivers, and other specialized equipment to remove, replace, and repair the various components of the vehicle. Once the maintenance is completed, the mechanic would test the vehicle to make sure it is in proper working order before returning it to the owner.
Answer:
In order to accomplish work on an object there must be a force exerted on the object and it must move in the direction of the force. If either of those conditions are not met, then there is no work.
Explanation:
Work done by the gravity on a rocket going perpendicular upwards is an example of negative work.
he slope at a point on a position-versus-time graph of an object is the object's speed at that point:
the object's average velocity at that point:
the object's instantaneous velocity at that point:
the object's acceleration at that point:
the distance traveled by the object to that point.
Option a is Correct. An object's speed at a given moment is given by the slope at that point on a position-versus-time graph of the object: is the average speed of the object at that time:
The slope of location vs time is velocity. The velocity is constant if that slope does not change. The velocity is a negative constant if the slope is negative and stable.
The slope of velocity against time is acceleration. The slope of the line will be +4 m/s if the object is travelling at a velocity of +4 m/s. The slope of the line will be -8 m/s if the object is moving at a velocity of -8 m/s.
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Correct Question:
The slope at a point on a position-versus-time graph of an object is the object's speed at that point:
a. the object's average velocity at that point:
b. the object's instantaneous velocity at that point:
c. the object's acceleration at that point:
d. the distance traveled by the object to that point.
questionwhich statement is true about the trends shown on the electromagnetic spectrum?responses as frequency decreases, radiant energy and wavelength increase. as frequency decreases, radiant energy and wavelength increase. as frequency increases, radiant energy and wavelength decrease. as frequency increases, radiant energy and wavelength decrease. as wavelength decreases, radiant energy and frequency increase. as wavelength decreases, radiant energy and frequency increase. as wavelength increases, radiant energy and frequency increase.
This statement is accurate for the patterns seen on the electromagnetic spectrum, which reveal patterns in which the frequency of radiation increases as the wavelength decreases.
What patterns do the electromagnetic spectrum show?The wavelengths are smaller and the vibrations are greater as you move from left to right. The relation among both wave and frequency is inverse in this case. (As one rises, the other falls.) This is due to the fact that the frequency of ALL electromagnetic waves is 300,000 km/s.
The electromagnetic spectrum is what, exactly?In increasing frequency and decreasing wavelength order, radio waves, microwaves, infrared, white spectrum, ultraviolet radiation, X-rays, gamma rays, and cosmic rays make up the full electromagnetic spectrum.
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Define the following terms.
1.ignition temperature.
2.combustion.
3.fuel.
4.calorific value of a fuel.
Answer:
1) ignition temperature- the minimum temperature that is required to start or cause combustion.
2) combustion - a chemical process in which a substance reacts rapidly with oxygen and gives off heat.
3) fuel - material such as coal, gas, or oil that is burned to produce heat or power.
4) calorific value of a fuel - the quantity of heat produced by its combustion – at constant pressure and under “normal” (standard) conditions
A ball rolls down a hill. it starts with velocity of 2 ms. after 2 seconds, the ball has a velocity of 12 ms. what is the acceleration of the ball? responses 2 ms2 2 m per s squared, 4 ms2 4 m per s squared, 5 ms2 5 m per s squared, 7 ms2
The acceleration is the change in velocity over time of the ball. Here in this case, when the ball rolls down the hill with initial velocity 2m/s and velocity after 2s is 12 m/s, then the acceleration will be 5m/s².
Acceleration is the change in velocity/ change in time.
Here it is given that the ball starts with a velocity of 2m/s. So at t=0, v = 2m/s.
So initial velocity = 2 m/s
The velocity after 2 seconds is given as 12 m/s
So final velocity = 12 m/s
The change in time = 2 s
Acceleration, a = change in velocity/ change in time
= final velocity - initial velocity / change in time
= (12 m/s - 2m/s)/ 2s = 5 m/s²
So the acceleration after 2 seconds will be 5 m/s².
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a 1,217 kg suv moving at 20.8 m/s strikes a 1,087 kg car moving at 14 m/s. their bumpers become locked and they continue to move as one mass. what is their final velocity as they move as a single mass?
The final velocity of the two vehicles as they move as a single mass is 18.42 m/s.
The total momentum of the two vehicles before the collision is:
momentum_initial = mass_suv ×velocity_suv + mass_car × velocity_car
The total momentum of the two vehicles after the collision is:
momentum_final = (mass_suv + mass_car) ×velocity_final
Since momentum is conserved, the initial momentum is equal to the final momentum:
momentum_initial = momentum_final
mass_suv × velocity_suv + mass_car × velocity_car = (mass_suv + mass_car) ×velocity_final
By substituting the given values, we can solve for the final velocity_final:
1217 kg * 20.8 m/s + 1087 kg * 14 m/s = (1217 kg + 1087 kg) * velocity_final
velocity_final = (1217 kg * 20.8 m/s + 1087 kg * 14 m/s) / (1217 kg + 1087 kg)
velocity_final = 18.42 m/s
The final velocity of the two vehicles as they move as a single mass is 18.42 m/s.
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consider two identical pails of water filled to the brim. one pail contains only water, the other has a piece of wood floating in it. which pail has the greater weight?
When two identical pails of water filled to the brim. one pail contains only water, the other has a piece of wood floating in it. Wood pail has the greater weight due to Archimedes' principle.
Considering only a certain amount of content can fit in each bucket. A bucket containing heavy material will weigh more. The amount of water in the bucket will be greater than it actually is because of the ball, hence the bucket with the ball will hold less water while the bucket without the ball will hold more.
The upward buoyant force that is applied to a body submerged in a fluid, whether wholly or partially, is equal to the weight of the fluid that the body displaces, according to Archimedes' principle (sometimes spelled Archimedes' principle). The Archimedes' principle is a fundamental physical law in fluid mechanics. It was created by Syracuse's Archimedes.
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an inductor with an inductance of three henrys (h) is to be connected to a 60 hz circuit. what will the inductive reactance be?
The inductive reactance of the inductor will be 376.99 ohms.
What is an inductive reactance?Inductive reactance is the opposition or resistance provided by an inductor to a changing current flow. Ohm (Ω) is the SI unit for inductive reactance.
The inductive reactance (Xl) of an inductor can be calculated using the formula Xl = 2πfL, where f is the frequency of the circuit in hertz and L is the inductance of the inductor in henrys.
In this case, the circuit's frequency is 60 Hz and the inductance of the inductor is 3 H. So, the inductive reactance is:
Xl = 2πfL = 2π(60)(3) = 376.99 ohms.
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) If qa and qb are positive, and qc and qd are negative, and the magnitude of all charges is the same, the net force on the positive charge q is
If qa and qb are positive, and qc and qd are negative, and the magnitude of all charges is the same,then the net force on the positive charge q is zero
What is charge?Charged material feels a force when it's exposed to a magnetic wave because of the physical property of electric charge. You can carry a positive or negative electric charge. Unlike charges attract each other while like charges repel one another.
What causes electrons to be charged?Negatively charged electrons is pulled to positive-charged protons because opposing charges attract. Because of how they behave in an electric field, electrons are considered to be negative particles.
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suppose you were given a new unknown material and wanted to place it on the electrostatic series. describe tests you could do to accurately
electrostatic attempting to calculate the charges of two friction-charged items. Include an explanation of WHY electrons flow from one material to another.
Which substance produces static electricity the best?Wool, human hairs, dry skin, silk, rayon, tissue paper, plastic wrap, and polyester are examples of materials that tendency to gain or lose electrons; when you tested these materials, you should have discovered that they shifted the silver ball similarly to how the Expanded polystyrene plate did.
What is an example of electrostatic charge?On insulating or unground surfaces, an excess or deficit of electrons results in static electricity, often known as an electrostatic charge. Triboelectric charges—charges created by friction between the two surfaces, for example the movement of two surfaces—are what cause it to occur.
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a bicycle completed the first 500.0 m of a ride in 80.9 s. what was the bicycle's average speed in kilometers per hour?
The bicycle's average speed was 54.43 kilometers per hour. the bicycle's average speed in kilometers per hour.
what is speed ?
Speed is a measure of how quickly an object moves or changes its position over time. It is a scalar quantity, which means it is described by a magnitude only and does not have a direction. Speed is measured in units such as meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph). The faster an object moves, the greater its speed.
Speed is often confused with velocity, which is a vector quantity that includes both magnitude and direction. Acceleration is the rate at which an object's speed changes over time. An object with a constant speed will have an acceleration of zero, while an object increasing its speed will have a positive acceleration and an object decreasing its speed will have a negative acceleration.
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at a given moment a plane passes directly above a 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
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?'
Learn more about the angle in
brainly.com/question/12068045
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