The final speed of pluck a is [tex]\sqrt{2}[/tex] times the speed of pluck b.
So we know, F= ma ( m is the mass of the particle and a is the acceleration )
Mass of pluck b =2m
Mass of pluck a = m
The tension in the string is the same and also the surface is frictionless. Hence, the only force acting on both the pluck is the force of tension 'T' .
acceleration of pluck b = T/2m
acceleration of pluck a =T/m
Let the distance traveled by both of them be 's'.
The initial velocity of both the plucks is 0.
We know v²-u² = 2as
u=0 for both plucks.
vₐ²-0 = (2)(T/m)(s)
=> Vₐ= [tex]\sqrt{\frac{2Ts}{m} }[/tex]
Similarly, Vb =[tex]\sqrt{\frac{Ts}{m} }[/tex]
Hence we can easily see, the velocity of pluck a is [tex]\sqrt{2}[/tex] times the speed of pluck b.
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A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of 32 m/s, and the average southward velocity has a magnitude of 29 m/s. What is the average velocity (magnitude and direction) for the entire trip?
Answer:
16.75 m/s North
Explanation:
Calculate a weighted average; North is the positive direction
(32 m/s).75 - (29 m/s).25 = 16.75 m/s N
What happens when light passes through slits?
Light is diffracted into semicircular waves when it travels through small apertures, Waves that line up crest to crest or trough to trough experience pure constructive interference.
What did you notice about the light's movement through the slits?On a faraway screen, one can see the light traveling through the two openings. The laws of geometrical optics apply, and the light forms two shadows when the widths of the slits are much bigger than the wavelength of the light.
What happens when there are two slits in a wave?The wave effectively splits into two new waves that each expand out from one of the holes as it passes through both of them. Then, these two waves start to interfere with one another. Where a peak and a trough meet occasionally.
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A student plots the current voltage graphs of three samples of nichrome wire. The samples have resistances R1, R2 and R3
The conclusions that are correct about the resistance include 1 and 3.
option C is the correct answer.
What is ohms law?
Ohms law states that the current flowing in ohmic conductor is directly proportional to the current across the conductor.
Mathematically, the formula for ohms law is given as;
V = IR
where;
I is the current in the conductorR is the resistance of the resistorThe power dissipated in a circuit is proportional to the square across the circuit.
P = IV
P = I²R
P = V²/R
where;
P is the power dissipated in the circuitFrom the formula given above, the power dissipated in the circuit is directly proportional to the square of voltage and inversely proportional to the resistance of the circuit.
The smaller the resistance, the more power is dissipated in the circuit.
In the given graph, R3 is the least resistance and it will have the most dissipated in the circuit.
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A space probe is launched vertically into space. It launches from rest and accelerates at a rate of 29 m/s^2. How many seconds before the probe reaches the speed required to get into orbit 7,850 m/s^2
Answer: 270
Explanation:
To determine how many seconds it would take for a probe to reach that speed starting from rest and accelerating at a rate of 29 m/s^2, you can use the equation for average acceleration:
Average acceleration = (final velocity - initial velocity) / time
Rearranging the terms, we can solve for time:
Time = (final velocity - initial velocity) / average acceleration
In this case, the initial velocity is 0 m/s (since the probe is launching from rest), the final velocity is 7,850 m/s (the speed required to reach orbit), and the average acceleration is 29 m/s^2. Plugging these values into the equation, we get:
Time = (7850 m/s - 0 m/s) / 29 m/s^2 = 270.34 seconds
Therefore, it would take the probe approximately 270 seconds to reach the speed required to get into orbit if it is accelerating at a rate of 29 m/s^2.
What is the main reason that the gravitational attraction between Earth and the Moon changes each day?
(1) Earth's axis is tilted at 23.5°.
(2) Earth's rotational speed varies with the seasons.
(3) The Moon has an elliptical orbit.
(4) The Moon has a spherical shape
The Moon has an elliptical orbit is the main reason that the gravitational attraction between Earth and the Moon changes each day.
The Effect of Earth's Gravity and Moon's GravityEarth's gravity pulls the moon to the center of the earth, while the moon's gravitational force maintains the moon's position, resulting in a centrifugal force that makes the moon rotate on its axis and surround the earth so that it is not attracted to the earth's center of gravity or stays in its orbit.
The influence of the gravitational force of the earth and the moon is the tides of the sea. The moon's gravitational force pulls seawater toward the moon, affecting wave height and sea level. Because the moon revolves around the earth, there will be times when one side of the earth is closer to the moon. The part that is close to the moon will experience high tide, while the other part that is not close to the moon will experience low tide. The tides are also related to the phases of the moon. Usually, sea water will experience high tides during the full moon.
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a free body diagram with 4 force vectors. the first vector is pointing downward labeled f subscript g baseline, the second is pointing right labeled f subscript p baseline. the third is pointing upward labeled f subscript n baseline. the fourth is pointing left labeled f subscript f. the upward vector is equal in length to the downward vector. the right vector is longer than the left. which statements describe the book and the forces acting on it? check all that apply. the forces are balanced. the forces are unbalanced. the net force is zero. the book is at rest. the net force is to the right. the book is moving to the right.
The book moves towards the right. So the correct answer is Option D.
According to the free body diagram, the upward and downward forces are equal in magnitude as they have the same length of the vector but are directed in opposite direction.So these two components of force nullify each other. The force vectors towards the right side and left side are opposite in direction but are not equal in magnitude. Since the length of the force vector towards the right side is longer in length than that towards the left side, hence they do not nullify each other. The forces are unbalanced and the net force is directed towards the right side. So the book moves towards the right side.
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find the volume of the given solid. bounded by the coordinate planes and the plane 8x + 5y + z = 40
A satellite is in a circular orbit about the earth (me-5.98 x 1024 kg). the period of the satellite is 2.40 x 104 s. what is the speed at which the satellite travels? G=6.67×10−11N.m2/kg2)
The speed at which the satellite travels is 7.7 kilometers per second.
To calculate the speed at which the satellite travels, we can use the equation
v = sqrt(GM/r)where v is the velocity of the satellite, G is the gravitational constant, M is the mass of the Earth, and r is the radius of the satellite's orbit.
The period of the satellite's orbit, which is the time it takes to complete one orbit, can also be used to calculate the speed of the satellite using the equation
T = 2pisqrt(r^3/GM)where T is the period of the orbit. Solving for v in this equation, we can find that the speed of the satellite is 7.7 kilometers per second.
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mass = 28g
volume=?
density= 13 g/ml
Answer:
2.15ml
Explanation:
The formula for density is D = m/v
Since we already have density and mass, we need to rearrange the equation to find the volume.
The rearranged formula is V = m/D
V = 28g/13g/ml
The volume is 2.15ml
are jeep wranglers 2003 six cylender prone to heater problems?not much heat coming out of heater engine temp is normal
Reason-1. Blower Motor and Resistor: This particular part is responsible for taking the heated air from your coolant system and pushing it through your hot heater core. From here the air will pass through your ventilation system and enter the cabin.
2. Incorrect Coolant Level: all you need to do to fix this is to add more coolant. Fill it up to the appropriate level, and you’re good to go. Take your heating system for a test drive. If the problem persists, you need to check through some of our other options. If the problem no longer persists, you’re good to go.
3. Thermostat: Our third common reason for a heater not working is a broken thermostat. Your heater core, and sometimes even your radiator, is designed to work in accordance with a thermostat
4. Hoses: As we mentioned earlier, if your coolant system is not working correctly, your heater core won’t either. So, if you have a damaged component in your coolant system, like a hose, odds are nothing’s going to work right.
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What is the relation between λ and μ?
Physically speaking, the ability of electrical fields to traverse a standard vacuum is represented by the permittivity of free space.
What connection exists between λ and Î14? Physically speaking, the ability of electrical fields to traverse a standard vacuum is represented by the permittivity of free space.Approximately 8.854 × 10-12 F/m (farad per meter) is the constant, while the relative standard error is 1.5 x 10-10. No such mass or material item exists in a vacuum.The permittivity should therefore be close to 0. (and in fact 0 itself). Free space, on the other hand, has a permittivity of 8.85 x 10-12 F m-1, which means that there are no electromagnetic waves, particles, or charges present.
Vaccum permittivity:
Fc=4πε01×r2q1q2
Where ε0 is permttivity of vaccum.
Dimension will be [M−1L−3T4I2]
vaccum permeability:
μ0=4π×10−7N/A2
Dimensions will be [MLT−2I−2]
Dimensions for μ0ε01 will be [M−1L−3T4I2]×[M1L1T−2I−2]1=[L2T−2]
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2. A car is travelling at 50 km/h. The driver sees a child run out into the road 5m ahead. She applies the break and the car stops in 5 seconds. The driver's thinking time is 1.5 s. A. Will the car stop in time?
B. If the driver's thinking time is increased to 2.5 s, will the car stop in time? C. What happens if the thinking time is 1.5 s but the car is travelling at 64km/h?
Anwser:
A: No
B: No
C: No
Explanation:
V = 50km/h = 14m/s
V2 = 0m/s
t = 5s
a = V2 - V/t = -2,8m/s²
The distance the car will drive when hitting the brakes:
t = 5s
a = -2,8m/s²
v = 14m/s
d = v•t + ½a•t² = 14•5 + -1,4•25 = 35m
and 35m is greater than 5m, and this is even with not counting the thinking time(1,5s), in which the car would have traveled an extra 21m. So 56m in total.
Which measurable property of water allows water droplets to have a rounded shape?
Surface Tension allows water droplets to have a rounded shape
What is surface tension?
A liquid surface's ability to operate like a stretched elastic membrane is known as surface tension. Small liquid droplets and soap bubbles have almost spherical shapes, which are indicators of this phenomena. Some insects can stand on the surface of water due to this characteristic. The surface tension of water may also support a razor blade. When pushed through the water's surface, the razor blade sinks rather than floats. Another way to think about surface tension is as the result of forces operating in the surface's plane and tending to reduce its area.
The amount of force applied to a surface that is perpendicular to a line of a certain length is a common way to express surface tension based on this theory. The measurement is then in newtons per meter, or joules per square meter.
Therefore, surface tension allows water droplets to be round in shape
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The planets in our solar system orbit the sun. Consider the gravitational force between the sun and the planets. Based on mass alone, the gravitational force would be the greatest between the sun and.
Gravity The principal factor governing the planets' orbits around the sun is gravity. While each planet has its own gravity that is determined by its size and speed of motion, orbit is determined by the gravity of the sun.
If you were to stand on the surface of any planet in the solar system, or, in the case of the ice giants, float in its atmosphere, you would feel the following gravitational pull: Venus: 0.9 g Mercury: 0.38 g Moon: 0.17 g Mars: 0.38 g Saturn: 1.07 g Jupiter: 2.53 g 0.89 g Uranus Jupiter: 1.14 g The Planets' Gravitational Pull The two driving forces that propel the planets around the sun.
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What is solver method?
For what-if analysis, Microsoft Excel add-in program Solver is helpful.
What is Solver? Give an example.Excel Solver allows up to 200 variable cells to be specified. We have a few cells in this example whose values can be modified: projected clients per month (B4), which need to be no more than 50; and Calculate the cost per service (B5) using Excel Solver.
What does Solver's evolutionary technique entail?Although it is not a cure-all, the evolutionary technique enables you to spend less time examining the mathematical aspects of your model while still obtaining "excellent" solutions.
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Info: The sign of the induced voltage as the North-pole end of the magnet moves toward a coil (which is connected to a light bulb/voltage meter) is: answer is Negative. And as the magnet passes through the coil and the South-pole end recedes away from the coil, the sign is: answer is Positive.The next question I need answered:Relate these two findings to Lenz's law.Please help!Thanks!
Lenz's law is related with the sign of the induced emf or voltage in a coil and states that the induced voltage always appear in such a direction as to oppose the cause of its production, that is, rate of change of emf.
According to Lenz's law, which deals with the sign of the induced emf or voltage in a coil, the induced voltage always manifests in a way that is opposite to the emf change rate that led to its induction.
Now, as the north pole of the magnet draws nearer to the coil, the magnetic flux connected to the coil increases, causing the induced voltage to be negative, causing that face of the coil to function as the north pole, repelling the approaching north pole (opposes the increase of magnetic flux). Likewise, the induced voltage's sign changes to positive as the S pole of the magnet moves away from the coil, causing that face of the coil to behave as described.
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What is the average speed of a stone falling from the roof of a 6 m high house?
Answer:
Below
Explanation:
Speed at beginning = 0
speed at bottom = ?
d = 1/2 at^2
6 = 1/2 (9.81)(t^2 ) shows t = 1.1 s
vf = at = 9.81 ( 1.1) = 10.85 m/s
Average = ( 10.85 - 0) / 2 = 5.42 m/s average
What are 3 ways genetic diseases are caused?
A single gene mutation, several gene mutations, a combination of gene mutations and environmental variables, or damage to chromosomes (changes in the number or structure of complete chromosomes) can all result in genetic illnesses.
What three effects can a genetic mutation have on an organism?Mutations may have an impact on an organism by altering its phenotype, or they may have an impact on the way DNA codes the genetic information (genotype). When mutations take place, they may be completely fatal or they may result in the termination (death) of an organism.
What exactly are genetic illnesses?Genetic illnesses result from changes or anomalies in an organism's genome. A gene mutation can affect one or more genes, leading to a genetic illness.
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Two forces, 300 N and 500 N, act on an 80-kg particle. 300 N north and 500 N east. Find the magnitude of the resultant acceleration if the forces make a 90 angle with each other.
Answer:
7.28 m/s^2.
Explanation:
To find the magnitude of the resultant acceleration of the particle, we can use the equation for Newton's second law of motion:
F = ma
Where F is the resultant force, m is the mass of the particle, and a is the resultant acceleration.
Since the forces are acting at a 90 degree angle to each other, we can treat them as two separate forces and use the Pythagorean theorem to find the magnitude of the resultant force:
F = sqrt((300 N)^2 + (500 N)^2)
= sqrt(90000 N^2 + 250000 N^2)
= sqrt(340000 N^2)
= sqrt(340000) N
= 582.67 N
We can now use this value for the resultant force to find the resultant acceleration:
a = F/m
= 582.67 N / 80 kg
= 7.28 m/s^2
Therefore, the magnitude of the resultant acceleration is 7.28 m/s^2.
please help me get this PLEASE
The shuttlecock began 7 m above the ground and then fell through the vacuum. Therefore, option (A) is correct.
What is the velocity vs time graph?A velocity vs time graph can be described as a type of graph that compares the change in the velocity over a period of time. This graph can be used to describe both the velocity, the direction it is moving, its acceleration, and the displacement.
The slope in a velocity vs time graph is equal to the acceleration of the object and the area under a velocity-time graph is equal to displacement.
In the given height vs time graph, the height of the shuttlecock is 7 meters at time t = 0. If the shuttlecock fell through the thick air, then its acceleration will decrease due to air resistance.
But the blue line is showing constant acceleration as there is no air resistance so the shuttlecock fell through the vacuum.
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What formula would you use to calculate the frequency of a wave?
The formula for calculating the frequency of a wave is f = 1/T, where f is the frequency in hertz (Hz) and T is the period of the wave in seconds.
What is Frequency?Frequency is a measure of the number of occurrences of a repeating event per unit time. It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency. Frequency is usually measured in hertz (Hz),
audio signals (sound), radio waves, and light.
Frequency is the number of complete waves that pass a given point in a unit of time, typically expressed in hertz (Hz). A hertz is equal to one cycle per second.
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What does 2+ on an atom mean?
2+ on an atom means that the atom needs 2 electrons to complete its octet.
As we know,
There are two types of elements present one is a Cation and the other is Anion.
Usually, when any of the elements are short 2 or more electrons, then in that case we place a plus sign in the superscript of the elements for denoting the deficiency of the electrons.
If any atom of an alkali metal group which are also called as group 1 atoms loses one electrons then such metals easily form a cation with one positive charge on it, in a same way the atoms of group 2 losses 2 electrons and forms a cations.
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Q3. An object has a weight of 70 N. How high can the object be lifted, if 210 J of work is done on it?
Answer:
The height will be 3
Explanation:
force(f) = 70N
work(w) = 210 J
distance(d) = ?
w = f × d
210 = 70 × d
210 = 70d
divide both sides by (70) to get d
[tex] \frac{210}{70} = \frac{70d}{70} [/tex]
d = 3
i hope this helps
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]F=70N[/tex]
[tex]w=210J[/tex]
[tex]d=?[/tex]
__________________________________________________________
Rearrange formula to make distance the subject:
[tex]W=Fd[/tex]
[tex]\dfrac{W}{F} =\dfrac{Fd}{F}[/tex]
[tex]d=\dfrac{W}{F}[/tex]
__________________________________________________________
[tex]d=\dfrac{210}{70}[/tex]
__________________________________________________________
[tex]\fbox{d = 3 meters}[/tex]
A pring of force contant 120 N/m i acted up by a contant force of 240n. Calculate the elatic potential tored in the pring
A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.
The elastic potential energy stored in the spring is formulated as follows
PE = ½kx²
Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.
In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:
F = kx
Where F is the force acting on the spring, x is the displacement, and k is the force constant,
So that:
F = kx
240 N = 120 N/m . x
x = 240 N/120 N/m
x = 2 m
Once x is known, then we can calculate the potential energy of the spring:
PE = ½kx²
PE = ½ (120) (2²)
PE = 60 x 40
PE = 240 Nm
So, the elastic potential energy stored in the spring is 240 Nm.
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Heroin addicts can now be given pharmaceutical treatment to help curb their desire and addiction. Which mechanism would help an addict decrease their addiction?
Heroin addicts can now be given pharmaceutical treatment to help curb their desire and addiction. Which mechanism would help an addict decrease their addiction?
A drug that acts as an opioid agonist.
A drug that increases GABA.
A drug that increases serotonin and dopamine levels in the synapse.
A drug that increases norepinephrine levels in the synapse.
A drug that acts as an opioid agonist mechanism would help an addict decrease their addiction.
What is opioid agonist therapy?Opioid agonist treatment is a safe and effective medication-based treatment for people who are dependent on opioid drugs such as heroin, oxycodone, hydromorphone (Dilaudid), fentanyl and Percocet.
The treatment helps clients and patients who live with opioid addiction improve their day-to-day functioning, find stability, manage withdrawal symptoms, and work toward recovery. It can lower the risk of drug-related harms, including hepatitis C and HIV transmission as well as fatal overdose. It can also help people stay in treatment and engage in their care.
Taking opioid agonist drugs like methadone, buprenorphine/naloxone (Suboxone), or slow-release oral morphine is a necessary part of opioid agonist treatment (Kadian).
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An opioid agonist medication would aid an addict in lessening their dependence.
What is Opoid therapy?For those who are dependent on opioid narcotics including heroin, oxycodone, hydromorphone (Dilaudid), fentanyl, and Percocet, opioid agonist treatment provides a secure and productive medication-based treatment option.
Clients and patients receiving treatment for opioid addiction are able to operate better on a daily basis, find stability, control withdrawal symptoms, and make progress toward recovery. It can reduce the chance of drug-related problems, such as the spread of HIV and hepatitis C as well as fatal overdoses. It may also encourage patients to participate in their care and stay in therapy.
Opioid agonist therapy requires the use of opioid agonist medications like methadone, buprenorphine/naloxone (Suboxone), or slow-release oral morphine (Kadian).
Therefore, An opioid agonist medication would aid an addict in lessening their dependence.
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consider an experiment where light of a single wavelength (monochromatic) is incident on a thin slit, creating a diffraction pattern. what change to the experiment will increase the size of the diffraction effect?
Dispersion of the diffracted image into the several colours that make up white lightJustification for the ideal selection
:The diffracted picture of the slit will become scattered into the individual hues of white light
when a monochromatic source is replaced by white light.
All other fringes will be the constituent colours, with white serving as the central maxima.
When light with a shorter wavelength is employed,
the width of the central brilliant fringe in the diffraction pattern shrinks
.(2) When the slit is made narrower, the width grows.
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Which force comes into play when an object starts to move on a surface?
The resistance provided to moving objects by the surface they are sliding or moving on is measured as sliding friction or dynamic friction. Sliding friction starts to work as soon as even the object begins to move.
What do static and dynamic friction mean?
When two bodies are in touch with one another and at rest, they experience static friction. Friction is what keeps anything from flowing while it is motionless. Dynamic friction, also known as kinetic friction, is friction that prevents a body from moving while it is already moving.
What kinds of dynamic friction are there?
There are two forms of dynamic friction: Sliding Resistance Friction as it rolls.
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The reactivity phenomenon of self-monitoring procedures has been shown to increase desired behaviors, decrease undesired behaviors. O both increase desired behaviors and decrease undesired behaviors. O neither increase desired behaviors nor decrease undesired behaviors.
In addition to several other factors thought to affect self-monitoring reactivity, such as the valence of target behaviours, motivation to change the target behaviour, the type of target behaviour, and self-monitoring accuracy,
the current study looked at a new variable, the number of behaviours self-monitored or multiple tracking. Self-monitoring is the process through which people keep track of when their own target actions occur. Self-monitoring is employed as a therapeutic technique in addition to serving as a data source since it frequently results in reactive behaviour modifications in response frequency. Face touching, nonfluencies, and value judgements were the three target behaviours that were mixed in all feasible ways (seven combinations), and one combination was given to each group to watch throughout the self-monitoring phase. Results showed that logging several behaviours
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you throw a ball up into the air at 84 m/s. when it reaches a velocity of 32 m/s, how high above the ground is it? use 10 m/s2 for gravity and answer in m.you throw a ball up into the air at 84 m/s. when it reaches a velocity of 32 m/s, how high above the ground is it? use 10 m/s2 for gravity and answer in m.
When it reaches a velocity of 32 m/s, it is 571.2m high above the ground.
What does velocity refer to?
Velocity is the direction speed of an item in motion as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time.
The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.
Given
Initial velocity ,u = 84m/s
Final velocity, v = 32m/s
Gravity ,g = -10m/s (upward motion, against gravity )
We know, v = u + gt
32 = 84 -10t
10t = 84-32
t = 5.2 s
Now using, s = ut +1/2 gt^2
s = [84*5.2] +1/2[10*5.2^2]
s = 436 + 135.2
s = 571.2m
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What are the 7 decreasing frequency?
Microwaves, Infrared, X-rays, and gamma rays are electromagnetic waves in decreasing frequency order that is from highest to lowest.
The relationship between frequency and wavelength is inversely proportional. That means if wavelength increases then frequency decreases.
The wavelengths of electromagnetic radiation, such as microwaves, typically range from one meter to one millimeter.
Longer wavelengths than visible light are found in infrared electromagnetic energy, also referred to as infrared light.
An X-ray is a sort of penetrating, high-energy electromagnetic radiation. X-radiations are far less common.
Gamma rays, commonly known as gamma radiation, are short, sharp electromagnetic radiation waves created by the radioactive disintegration of atomic nuclei.
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