When a person is standing in an elevator that is moving downward and slowing down, the magnitude of the normal force on the person is greater than the magnitude of the weight force on the person.
This is because the elevator is decelerating and the person's body is trying to continue moving at a constant velocity due to inertia. The normal force, which is the force exerted by the elevator floor on the person, is therefore greater to counteract this motion. As the elevator moves downward and slows down, it experiences an upward acceleration. According to Newton's Second Law, the net force acting on the person is equal to their mass multiplied by the acceleration (F = ma).
The net force on the person includes two forces: the normal force (Fn) exerted by the elevator floor, and the weight force (Fw) acting downward due to gravity. Since the elevator is accelerating upward, the normal force must be greater than the weight force to create a net upward force (Fn > Fw). Therefore, the magnitude of the normal force on the person is greater than the magnitude of the weight force on the person.
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what is physical quantity ? Give examples.
Explanation:
physical quantity is any physical property that can be qualified that,is, be measured using numbers e.g mass, amount of substance,time and length
E) Would you expect the temperature of the water to continue rising above 20°C? Explain your answer.
Answer:
No, when water converts to steam on heating, the temperature remains constant at the boiling point and the heat supplied to the water is used for the vaporisation of water, rather than increasing the temperature of water.
This energy used for the vaporisation is termed as the latent heat of vaporisation.
You’ll find similar observations if you try heating ice - the temperature remains at 0∘ Celsius. Here, it’s the latent heat of fusion.
Please please help me :)
Answer:
Explanation:
2) From F=ma
Force =15×40=600N or kgm/s2
3)From the same equation making acceleration the subject of the formula will give
a=f÷m
=24÷4=6m/s2
4)m=f÷a
=45÷15=3kg
A worker drives to work each morning, always leaving at the same time. When he drives at
an average speed of 30km/hr he arrives six minutes early, but when he drives at an average
speed of 20km/hr he arrives six minutes late. What is the distance between his house and his
office? Calculate his average speed when he arrives precisely on time. Explain your answer.
Explanation:
speed = distance/time
distance/speed = distance / distance/time = time
when we define the equations, we must be careful to use the same scales as in the given numbers.
as we are dealing with km/h for speed, we need to have distance measured in km, and time in hours.
6 minutes is therefore 1/10 of an hour (1 hour = 60 minutes).
distance/30 = x - 1/10
distance/20 = x + 1/10
we subtract equation 2 from equation 1 :
distance/30 = x - 1/10
- distance/20 = x + 1/10
-----------------------------------
distance/30 - distance/20 = -2/10
we multiply by 60 to eliminate all fractions :
2×distance - 3×distance = -2×6 = -12
-distance = -12
distance = 12 km
x = the travel time to arrive on time.
distance/30 = x - 1/10
12/30 = x - 1/10
12 = 30x - 3
15 = 30x
x = 15/30 = 0.5 hours = 30 minutes
so, he has half an hour for his 12 km trip to work to arrive precisely on time.
that means his average speed for that must be
12/0.5 = 24/1 = 24 km/h
1.
A kitten is sleeping in her bed with a force of gravity of 20N
What is the mass of the kitten?
A car starts from rest and accelerates uniformly over a time of 7.31 seconds for a distance of 160 m. Determine the acceleration of the car.
Answer:
Since it is given that car starts from rest so initial velocity
u
=
0 m/s
. The position of car is given, so
S
=
215 m
.
Explanation:
6346345
Answer:
215 m
Explanation:
what is the value of the fermi-dirac distribution for energies less than the fermi energy, if the temperature is t=0k ? express your answer to two significant figures.
The value of the Fermi-Dirac distribution for energies less than the Fermi energy at absolute zero temperature (T=0K) is 1.00.
The Fermi-Dirac distribution function describes the probability of finding an electron in a specific energy state in a Fermi gas. It is given by the equation:
f(E) = 1 / (1 + exp((E - EF) / (kT)))
Where f(E) is the Fermi-Dirac distribution function, E is the energy, EF is the Fermi energy, k is Boltzmann's constant, and T is the temperature.
At absolute zero temperature (T=0K), the exponential term in the equation becomes infinite for energies less than EF, and the distribution function simplifies to:
f(E) = 1 / (1 + ∞) = 1 / ∞ = 0
Therefore, for energies less than the Fermi energy at absolute zero temperature, the value of the Fermi-Dirac distribution function is 0. However, it's important to note that this result assumes ideal conditions and a non-degenerate Fermi gas.
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_____ contact involves transfer of pathogens via inanimate objects such as doorknobs, drinking glasses, or clothing, otherwise known as fomites.
Transmission contact involves transfer of pathogens via inanimate objects such as doorknobs, drinking glasses, or clothing, otherwise known as fomites.
The question that you have asked relates to the concept of contact transmission, which is a type of transmission of infectious diseases that involves the transfer of pathogens from one individual to another through direct or indirect contact. Direct contact transmission involves physical contact between an infected individual and a susceptible host, while indirect contact transmission involves transfer of pathogens via fomites.
Fomites are inanimate objects such as doorknobs, drinking glasses, or clothing that can harbor infectious agents and transmit them to other individuals. Fomites are an important mode of transmission for many pathogens, including viruses, bacteria, and fungi. The risk of fomite transmission can be reduced by practicing good hand hygiene, avoiding close contact with sick individuals, and cleaning and disinfecting frequently touched surfaces.
In conclusion, fomite transmission is an important mode of contact transmission that can contribute to the spread of infectious diseases. Awareness and implementation of preventive measures can help to reduce the risk of fomite transmission and prevent the spread of infections.
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Discuss how directions fields and Euler's method are related. Draw the direction field and use Euler's method to approximate the solution at t = 10 using step size 1, for the initial value problem y'= -3y, y(0) = 5.
By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.
Euler's method is defined as a numerical technique which is used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.
In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.
Step 1:
We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].
Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:
Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25
Step 2:
Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:
Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125
Thus, by using Euler's method with two steps, the approximate value of Y(2) is 2.125.
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The complete question is
Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3
3. Automobile companies often test the safety of cars by putting them through crash tests to observe the integrity of the passenger compartment. If 1100kg car is sent toward a cement wall with a speed of15 m/s, an impact force of 185,000 N stops the car, how long does it take before the car is brought to a stop?
Answer:
Time taken for car to stop = 0.89 seconds (Approx.)
Explanation:
Given:
Mass of car = 1100 kg
Speed of car = 15 m/s
Impact force = 185,000 N
Find:
Time taken for car to stop
Computation:
Change in momentum of car = M(v) - M(u)
Change in momentum of car = 1100(0) - 1100(15)
Change in momentum of car = -16,500
Time taken for car to stop = I Change in momentum of car I / Impact force
Time taken for car to stop = I-16,500I / 185,000
Time taken for car to stop = 0.89 seconds (Approx.)
The time it takes for the car to stop will be 0.89 sec. Due to the external resistive force, the car will stop after some time.
What is momentum?The momentum is defined as the product of mass and the velocity of the body. It is denoted by the letter P. It occurs due to the applied force. Its unit is Kg m/s².
The change in the momentum of the car is given as;
\(\rm \triangle P = m(V-U) \\\\ \triangle P = 1100(0-5) \\\\ \rm \triangle P =-16,500 Kgm/s\)
The time taken for a car to stop will be;
\(I \triangle p= F\triangle t \\\\ \rm t = \frac{\triangle p }{F} \\\\ \rm t = \frac{|-16500|}{18500} \\\\ \rm t =0.89 \ sec\)
Hence the time it takes for the car to stop is 0.89 sec.
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A car accelerates at -1 m/s2. What is its final speed (in m/s) at the end of 4 seconds if it started at 1 m/s? (round
to the nearest whole number)
This is an exercise in Rectilinear Uniformly Varied Motion (MRUV) is a type of motion in which an object moves in a straight line and experiences changes in its velocity at a constant rate. In this type of motion, the acceleration of the object remains constant over time.
The distinctive feature of the MRUV is that the velocity of the object changes uniformly, that is, its velocity increases or decreases by a constant amount in each unit of time. If the object experiences a positive acceleration, its velocity increases with time. On the other hand, if the object experiences a negative acceleration, its speed decreases.
In an MRUV, constant acceleration has a direct impact on displacement and the time it takes for the object to reach a certain speed. Also, the direction of the acceleration determines whether the object is accelerating or decelerating relative to its initial motion.
This type of movement is found in various situations of daily life, such as the launch of an object upwards and its subsequent fall, the movement of cars on a road with acceleration or braking, or even the study of bodies in free fall.
To solve this problem, we can use the kinematics formula for constant acceleration:
Vf = V₀ + a × t
Where:
Vf is the final speedV₀ is the initial velocitya is the accelerationt is the timeIn this case, the initial velocity (vi) is 1 m/s, the acceleration (a) is -1 m/s^2 (negative because it indicates deceleration), and the time (t) is 4 seconds.
Substituting these values into the formula, we get:
Vf = V₀ + a × t
Vf = 1 m/s + (-1 m/s²) × 4 s
Vf = 1 m/s - 4 m/s
Vf = -3 m/s
The final velocity of the car at the end of 4 seconds would be -3 m/s. Negative velocity indicates that the car is slowing down.
Janet is skating at the ice rink with her little sister Sarah who is initially standing at rest on the ice. Janet then collides head-on into Sarah. Janet continues forward at 2 m/S, while Sarah is thrown backward at 4 m/s. (After the collision, Janet and Sarah are moving in the same direction). Janet's mass is 58 kg and Sarah's mass is 39 kg. How fast was Janet moving initially, in m/s? (Round your answer to one decimal place if necessary.)
Answer: According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Assuming that the positive direction is the direction in which Janet was moving before the collision, we can write:
Initial momentum = final momentum
(mass of Janet) x (initial velocity of Janet) + (mass of Sarah) x (initial velocity of Sarah) = (mass of Janet) x (final velocity of Janet) + (mass of Sarah) x (final velocity of Sarah)
We know that Sarah was initially at rest, so her initial velocity was 0 m/s. We also know that Janet continued forward at 2 m/s after the collision, so her final velocity was 2 m/s. Substituting these values into the equation above and solving for the initial velocity of Janet, we get:
(58 kg) x (initial velocity of Janet) + (39 kg) x (0 m/s) = (58 kg) x (2 m/s) + (39 kg) x (4 m/s)
58(initial velocity of Janet) = 406 + 156
58(initial velocity of Janet) = 562
(initial velocity of Janet) = 9.69 m/s (rounded to two decimal places)
Therefore, Janet was moving at 9.69 m/s initially before the collision.
Explanation:
A force F~ = Fxˆı + Fyˆ acts on an object with Fx = 4 N and Fy = 6 N. The angle between F~ and the displacement vector ~s is 18◦ , and 106 J of work is done by F~. Find the magnitude of ~s. Answer in units of m
The magnitude of the vector displacement is 15.65 m.
Resultant force
The resultant force acting on the object is calculated as follows;
\(F = \sqrt{F_x^2 + F_y^2} \\\\F = \sqrt{4^2 + 6^2} \\\\F = 7.21 \ N\)
Displacement of the vectorThe displacement of the vector is calculated as follows;
W = Fs cosθ
\(s = \frac{W}{Fcos(\theta)} \\\\s = \frac{106}{7.12 \times cos(18)} \\\\s = 15.65 \ m\)
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oort cloud objects will only pass close to earth and become comets if their orbits are:
Oort cloud objects will only pass close to Earth and become comets if their orbits are influenced by gravitational interactions with nearby stars or other celestial bodies.
These interactions can disturb their orbits, causing them to enter the inner solar system. Once they approach the Sun, the heat and radiation cause volatile materials on their surface to vaporize, creating a glowing coma and a tail. This transformation from a distant, icy object to a visible comet occurs when their highly elliptical orbits bring them within the inner regions of our solar system, allowing us to witness their spectacular displays as they pass by Earth. Oort cloud objects will only pass close to Earth and become comets if their orbits are influenced by gravitational interactions with nearby stars or other celestial bodies.
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A string attached to an airborne kite has a eastward horizontal vector of 72 m. The kite also has a northward vertical vector of 150 m. What is the resultant vector of the actual kite string?
Therefore, the resultant vector of the kite string has a magnitude of 168.5 meters and makes an angle of 65.5 degrees with the horizontal axis.
What is vector?In physics, a vector is a quantity that has both magnitude and direction. It can be represented graphically as an arrow, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector. Vectors can be added, subtracted, and multiplied using mathematical operations, such as the dot product and cross product. These operations allow us to manipulate and analyze vectors mathematically, which is useful for understanding and predicting the behavior of physical systems.
Here,
To find the resultant vector of the kite string, we can use the Pythagorean theorem and trigonometric functions. First, we can find the magnitude of the resultant vector using the Pythagorean theorem:
magnitude = √((72 m)² + (150 m)²)
magnitude = 168.5 m
Next, we can find the angle that the resultant vector makes with the horizontal axis using trigonometric functions.
tan(theta) = opposite / adjacent
tan(theta) = (150 m) / (72 m)
theta = tan⁻¹(150 m / 72 m)
theta = 65.5 degrees
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What is the speed of a wave that has a frequency of 1799bhz and a wavelength of 2.08 m round your answer to 2 decimal places
The Doppler Effect is a phenomenon observed when there is relative motion between the source of a wave and the observer of the wave.
It is commonly experienced with sound waves, such as the change in pitch of a siren of a moving ambulance. When the source moves towards the observer, the frequency of the sound waves heard by the observer increases, resulting in a higher pitch.
Conversely, when the source moves away from the observer, the frequency of the sound waves heard by the observer decreases, resulting in a lower pitch. This effect is caused by the compression or expansion of the sound waves due to the relative motion between the source and the observer.
The Doppler Effect is also observed with electromagnetic waves, such as light waves. It is used in various applications, including astronomy, to measure the motion of stars and galaxies.
By analyzing the Doppler shift in the light emitted by these celestial bodies, astronomers can determine whether they are moving towards or away from us, and at what speed.
Overall, the Doppler Effect is a fundamental concept in physics that helps us understand the behavior of waves in relation to relative motion. It has practical applications in a variety of fields, including medicine, meteorology, and remote sensing.
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What is the magnitude of force C
The magnitude of a force is the amount that captures its power.The direction is indicated by towards, while the force is indicated by “10.” Magnitude can be thought of as simply the “value” or “amount” of any physical quantity.
What magnitude of force is affected?The total amount of forces exerted on an item is referred to as the magnitude of force in physics. The strength of the force increases when all the forces are pulling in the same direction. When forces are exerted on an item from different angles, the force's strength reduces.
Therefore, consider the scenario the magnitude of force is 200 N .
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to avoid landing at the wrong airport or on the wrong runway, a
pilot should?
Pilots can prevent landing at the wrong airport or on the wrong runway by adhering to established procedures and employing various navigational aids.
Pilots can employ several measures to prevent landing at the wrong airport or on the wrong runway. Firstly, they should carefully review and follow established procedures provided by air traffic control (ATC) and the airport authority. This includes verifying the assigned runway and using the correct approach and landing charts. Secondly, pilots should make use of navigational aids such as instrument landing systems (ILS), global positioning systems (GPS), and visual aids like runway markings and signage.
These aids help pilots to accurately identify their intended destination and runway. Maintaining situational awareness throughout the flight is crucial, and pilots should cross-reference visual cues with navigational aids to ensure they are on the correct path. In cases of uncertainty or confusion, pilots should communicate with ATC to clarify any discrepancies or seek guidance. By diligently following procedures and utilizing navigational aids, pilots can significantly reduce the risk of landing at the wrong airport or on the wrong runway.
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why is it necessary that a force probe be calibrated?
Without calibration, the data would no longer be accurate since it would deviate from real values. Therefore, calibration is occasionally required.
A force probe measures weight in what ways?It converts an applied mechanical force—such as load, weight, tension, compression, or pressure—into another physical variable—in this case, an electrical output signal—that can be measured, converted, and standardized. The electrical signal changes in direct proportion to the force acting on the sensor.
What function does a force sensor serve?A load cell or weight sensor is often referred to as a force sensor. They are employed to gauge load, strain, and compression. A lot of them contain internal strain gauges that are attached to the metal structure and respond even to the smallest compression changing the resistance and reporting on the outcomes.
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An FM radio wave has a frequency of 7.98E+8 Hz. What is the wavelength of this electromagnetic wave?
Answer:
.376 m
Explanation:
c = speed of light = 3 x 10^8 m/s
c = wavelength * freq
3 x 10^8 = 7.98 x 10^8 * f
f = .376 meters
I’m confuse like which two types of fields vibrate in light wave
Electromagnetic waves consists of alternate electrical and magnetic fields.
Light is a electromagnetic wave. Hence in light wave, electrical and magnetic fields vibrate.
The discoverer of X-rays was:
a. Crookes
b. Curie
c. Roentgen
d. Becquerel
The discoverer of X-rays was Roentgen. Option c
Wilhelm Conrad Roentgen, a German physicist, discovered X-rays on November 8, 1895. Roentgen was experimenting with cathode rays in a vacuum tube when he noticed a fluorescent screen in his lab was emitting light despite being far from the cathode ray tube.
He realized that an unknown ray was passing through the tube and causing the screen to glow. Roentgen called this new type of ray "X-ray," and he went on to study and document its properties.
This discovery led to a revolution in medical imaging, allowing doctors to see inside the human body without the need for invasive procedures. Roentgen was awarded the Nobel Prize in Physics in 1901 for his discovery.
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PLZ HELP! WILL MARK BRAINIEST IF CORRECT
Solve for potential energy and kinetic energy. It's circled.
Explanation:
KE = 0.5mv² = 0.5(50kg)(8.97m/s)² = 2,009.5J.
PE = mgh = (50kg)(9.81N/kg)(1m) = 490.5J.
You can see that the total mechanical energy (ME) is the sum
If you wish to reduce the stress (which is related to centripetal force) on high-speed tires, would you use large- or small-diameter tires? Explain.A. Larger diameter tires because they have more friction so you won't slide off the road.
B. You tend to move in a straight line. To make you go in a curved path, the seat or the door need to exert a force on you, pointed toward the center of the circular path.
C. It gives greater speed because it minimizes the curve angle and places less lateral force which means more speed.
D. It is force applied on an object moving in uniform circular motion. It can be any force. It is a force that causes centripetal acceleration.
The correct answer is A. Larger diameter tires because they have more friction so you won't slide off the road.
When a vehicle is moving at high speeds, the centripetal force on the tires can be very high, causing stress on the tires. One way to reduce this stress is by using larger diameter tires. Larger diameter tires have a larger contact area with the road, which increases the amount of friction between the tire and the road. This increased friction helps to prevent the tires from sliding off the road, reducing the stress on the tires. Additionally, larger diameter tires also have a larger circumference, which means that they can cover more distance with each rotation, reducing the number of rotations needed to travel a given distance and thereby reducing the stress on the tires.
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Solve for the amount of moles of Cl2 gas in 5.55 x 1024 molecules of Cl2 gas
Help please!
There are roughly 9.22 moles of Cl2 gas in 5.55 x \(10^{24\) molecules of Cl2 gas.
Divide the given number of molecules by Avogadro's number to get the amount of moles of Cl2 gas.
To solve for the amount of moles of Cl2 gas in 5.55 x \(10^2^4\) molecules of Cl2 gas, we need to use Avogadro's number, which is the number of particles in one mole of a substance.
Avogadro's number is approximately 6.022 x \(10^2^3\) particles per mole.
To find the amount of moles of Cl2 gas, we simply divide the given number of molecules by Avogadro's number.
So, 5.55 x \(10^2^4\) molecules of Cl2 gas divided by 6.022 x \(10^2^3\) particles per mole equals approximately 9.22 moles of Cl2 gas.
Therefore, the amount of moles of Cl2 gas in 5.55 x \(10^2^4\) molecules of Cl2 gas is approximately 9.22 moles.
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he Volume in an experiment is changed (in mL) is 200, 100, 50, 25, 12.5 and we measured the pressure (in atm) is 0.1000, 0.2000, 0.4000, 0.8000, 1.6000 then the slope of the graph will be... (Hint: You may want to draw it out first. Keep the numbers in order when you create your data table.)
Answer: Slope = - 1000.
Explanation:
The line of best fit of the graph will be linear.
The general linear equation can be expressed as;
Y = MX + C
Where the Y variable represents the volume in the experiment as dependent variable and the X represent the pressure as independent variable.
The equation can be rewritten as:
V = MP + C
Where C is the intercept.
Given that
V = 200, 100, 50, 25, 12.5 and
Pressure P = 0.1000, 0.2000, 0.4000, 0.8000, 1.6000
The slope M can be calculated by using the formula
M = (V2 - V1)/ (P2 - P1)
Where V1 = 200, V2 = 100, P1 = 0.1, P2 = 0.2
Substitute all the parameters into the formula
M =( 100 - 200)/ ( 0.2 - 0.1 )
M = -100/0.1
Slope M = - 1000
if a resting potential becomes more negative, the membrane is said to be
If a resting potential becomes more negative, the membrane is said to be hyperpolarized.
Resting potential refers to the electrical potential difference across the cell membrane of a neuron or other excitable cells when it is at rest and not transmitting any signals. Normally, the resting potential of a neuron is negative, typically around -70 millivolts (mV). However, if the resting potential becomes even more negative than its usual value, it is referred to as hyperpolarization.
Hyperpolarization occurs when the membrane potential becomes more negative than the resting potential. This can happen due to the increased efflux of positive ions (such as potassium) or the influx of negative ions (such as chloride) across the cell membrane. Hyperpolarization makes the neuron less likely to generate an action potential, as it increases the threshold required for the membrane to depolarize and initiate an electrical impulse.
Hyperpolarization is an important mechanism in regulating the excitability of neurons and plays a role in various physiological processes, including inhibitory synaptic transmission and shaping neuronal responses.
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When a white light disperses as it passes thru a prism, which ofthe following colors move at the lowest speed in the prism
a. blue
b. green
c. yellow
d. red
The color that moves at the lowest speed in a prism when white light disperses is red.
When white light passes through a prism, it refracts and disperses into its individual colors due to the differences in their wavelengths. The shorter the wavelength of light, the more it refracts. Since the wavelength of red light is longer than that of blue, green, and yellow light, it is refracted the least and moves at the slowest speed in the prism. As a result, red light bends the least and emerges at the top of the prism, while blue light bends the most and emerges at the bottom of the prism. This phenomenon is known as dispersion and explains why we see a rainbow when white light is dispersed by raindrops. The colors of the rainbow appear in the order of red, orange, yellow, green, blue, indigo, and violet, with red always being on the outermost edge.
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I WILL GIVE BRAINLIEST
Lila is a track and field athlete. She has to complete four laps around the track, which is 400 meters. The race took her 6 minutes to complete. What is her average speed to the first decimal point in m/s?
Answer:
4.44m/s
Explanation:
Average speed is the total distance covered within a given period of time.
From the quantities given;
Number of laps = 4 laps
Length of each lap = 400m
Time taken to complete race = 6minutes
Unknown:
Average speed = ?
Solution:
Her average speed is given as:
Average speed = \(\frac{number of laps x length of lap}{time}\)
We need to convert time to seconds;
60s = 1 min;
6 minute = 60 x 6 = 360s
Average speed = \(\frac{4 x 400}{360}\) = 4.44m/s
from the top of a building, object 1 with mass m is thrown straight downward, and object 2 (also with mass m ) is thrown horizontally. both are thrown with the same speed. compare the speeds with which the objects hit the ground.
The speeds with which Object 1 and Object 2 hit the ground are the same, as both their magnitudes are equal.
To compare the speeds at which Object 1 and Object 2 hit the ground after being thrown from the top of a building, we need to consider their individual velocities.
Step 1: Determine the vertical velocity for each object. Object 1 is thrown straight downward with an initial velocity. The final vertical velocity will be affected by gravity and time. Object 2 is thrown horizontally, so its initial vertical velocity is 0. The final vertical velocity will be affected only by gravity and time.
Step 2: Determine the horizontal velocity for each object. Object 1 has no horizontal velocity since it's thrown straight downward. Object 2 is thrown horizontally with an initial velocity, and its horizontal velocity remains constant as it falls (ignoring air resistance).
Step 3: Calculate the final speeds for each object. The final speed of an object is the vector sum of its horizontal and vertical velocities. We can use the Pythagorean theorem to find the magnitude of the final velocity.
For Object 1:
\(Final speed = sqrt(horizontal velocity^2 + vertical velocity^2)\)
Since the horizontal velocity is 0, the final speed is equal to its vertical velocity.
For Object 2:
\(Final speed = sqrt(horizontal velocity^2 + vertical velocity^2)\)
Both the horizontal and vertical velocities have the same magnitude as Object 1's vertical velocity.
Therefore, the speeds with which Object 1 and Object 2 hit the ground are the same, as both their magnitudes are equal.
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