4 – Microwave Miracle Patrick believes that fish that eat food exposed to microwaves will become smarter and would be able to swim through a maze faster. He decides to perform an experiment by placing fish food in a microwave for 20 seconds. He has the fish swim through a maze and records the time it takes for each one to make it to the end. He feeds the special food to 10 fish and gives regular food to 10 others. After 1 week, he has the fish swim through the maze again and records the times for each. 1.What was Patrick’s hypothesis?
2.Which fish are in the control group?
3.What is the independent variable?
4.What is the dependent variable?
5. Look at the results in the charts. What should Patrick’s conclusion be?
Answers
The term experiment has to do with the kind of study in which the effect of a dependent variable on an independent variable is undertaken and looked into in dept.
We know that in an experiment there must be an independent variable which is being monitored and changes from time to time and there is the dependent variable which changes as the independent variable changes.
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Related Questions
What is a specific measure to which and other measures are compared to ensure uniformity
Answers
Standard of measure is referred to as the specific measure to which and other measures are compared to ensure uniformity and examples include the standard unit for various parameters.
What is Standard of measure?This is referred to an approved and accepted form of measurement against which others are measured or compared and an example is that of mass in which the standard unit is kilogram.
It is important to have a standard as it helps to ensure that there is uniformity when dealing with different types of bodies and their respective features or properties.
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select the expressions that will be equal to the voltage of the battery in the circuit, where δva , for example, is the potential drop across resistor a.
Answers
The expressions that will be equal to the voltage of the battery in the circuit, will be:
ΔVA+ΔVB
ΔVA+ΔVC
ΔVD
What is voltage?The difference in electric potential, that is described as the work required per unit of charge to shift a test charge between the two points, is known as voltage, electric, electric pressure, or electric tension.
When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
Voltage drop is the reduction in electrical potential along an electrical current's passage in a circuit. Because some of the energy supplied is lost, voltage drops in the source's internal resistance, across conductors, and across connectors are undesirable.
It should be noted that because when we take the sum of voltage across these terminal the voltage will be same as that of the battery.
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As she starts to move upward, the student pushes down on the surface with a force that is greater than her weight. What can you say about the net force on her?.
Answers
As she starts to move upward, the student pushes down on the surface with a force that is greater than her weight. This will cause her net force to be directed upwards, thus, alternative B.
What is net force?Net force is the vectoral sum or the resolution of all the forces acting on a body. Although, more than one force may be acting on a body at the same time, only the resultant force or the net force will have a significant effect on the body. If the net force is equal to zero, the body is said to be in a state of equilibrium, and according to Newton's first law of motion, the body will remain in its state of rest or will continue to move in uniform speed.
As for the student in the question, her net force isn't equal to zero, so she will move in the direction of her net force, which is upwards. Newton's third law of motion states that "to every action, there is an equal but opposite reaction".
When she pushed downwards on the surface of the ground with a force greater than her weight, the ground surface will also produce a force in opposite direction to and equal to the force she used on the ground called a normal force, according to Newton's third law of motion. The normal force is also greater than the weight of the girl, hence, her net force will not be zero, and it will move in an upward direction, causing her to jump off the ground.
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Complete question:
As she starts to move upward, the student pushes down on the surface with a force that is greater than her weight. What can you say about the net force on her?
A. The net force is zero.
B. The net force is directed upward.
C. The net force is directed downward
The table shows the mass and net force of two cars
moving down the same road. Without performing any calculations, which car will
experience a greater acceleration? Explain your answer using Newton’s laws.
Car Mass (kg) Net Force (N)
A 800 kg 400 N
B 300 kg 300 N
Answers
The car B will experience greater acceleration than car A.
According to the Newton's second law, the acceleration of an object is depends on the net force acting upon the object and the mass of the object. The mathematical form of the law is given below.
F = m*a
Where F = force, m = mass and a = acceleration.
The equation in terms of acceleration is,
a = F/m
From the formula, we can see that the acceleration is directly proportional to force and indirectly proportional to mass. The net force on the car A is greater than car B. But the mass of the car A is larger than almost three times of the mass of car B. Hence the car A will have lower acceleration compared to car B. The larger net force will not increase the acceleration very much. So, the car B will experience greater acceleration than car A.
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If an astronaut weighs 981 N on Earth and only 160 N on the
Moon, then what is his mass on Earth?
Answers
the mass on Moon will be 98.1 kg.
Given - Weight on Earth and moon
Find - Mass on Moon
First, determine the mass of the Earth using its gravitational acceleration.
Taking acceleration due to gravity as 10 m/s².
Mass = weight/acceleration due to gravity
Mass = 981/10
Performing division
Mass = 98.1 kg
As is already common knowledge, the mass is independent of the acceleration caused by the planet's gravity. The mass of the moon will therefore be 98.1 kg.
What is the Earth's mass?The earth weighs 6. 1024 kilograms, while the moon weighs 7.4 1022 kilograms. Calculate the force that the earth would apply on the moon if their distance were 3.84 x 105 miles.
The Moon's mass is not included in the Earth's mass. The Earth+Moon system has a mass of about 6.04561024 kg since the Moon's mass is roughly 1.2% that of the Earth.
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.
99. An airplane with an airspeed of 120 km/h encounters a
90-km/h crosswind. Convince your classmates that the
plane's groundspeed is 150 km/h.
Answers
The resultant speed of the airplane is 150 km/h, and this is the speed relative to the ground.
What is the resultant speed of the airplane?
The resultant speed of the airplane is the single speed of the airplane that will produce same effect as the two speeds acting together.
To convince your classmate about the ground speed of the airplane we need to calculate the resultant speed of the airplane.
R² = Vp² + Vw²
where;
R is the resultant speed of the airplaneVp is the speed of the airplaneVw is the speed of the windR² = Vp² + Vw²
R = √[Vp² + Vw²]
R = √[120² + 90²]
R = 150 km/h
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a ball is rolling down a ramp. as the initial height of the ball is increases, the potential energy of the ball at the top of the ramp and the kinetic energy of the ball at the bottom of the ramp .
Answers
When a ball is rolling down a ramp, it has maximum potential energy when it is at the top, and the kinetic energy is maximum at the bottom of the ramp.
What is the kinetic energy and potential energy?Kinetic energy is the type of energy present in a body due to the property of its motion and potential energy is the kind of energy present in a body due to the property of its state.
Kinetic energy can be easily transferred from one body to another but potential energy is not transferable. Kinetic energy is relative with respect to nature and potential energy is non-relative with respect to nature.
As the ball is rolling down a ramp, its potential energy decreases and kinetic energy increases. The ball has the maximum potential energy when it is at the top, and this potential energy is transformed into both translational and rotational kinetic energy as it rolls down.
When the ball is at the topmost height, its gravitational potential energy is maximum and zero kinetic energy. When a ball reaches the bottom of the ramp, it will have zero potential energy and maximum kinetic energy.
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In a feedback loop, the Creates an That impacts the original event
Answers
In a feedback loop, the stimulus Creates an set point that impacts the original event.
What is feedback loop?A system component known as a feedback loop is one in which all or a portion of the output is used as input for subsequent operations. A minimum of four stages comprise each feedback loop.
Input is produced in the initial phase. Input is recorded and stored in the subsequent stage. Input is examined in the third stage, and during the fourth, decisions are made using the knowledge from the examination.
Both negative and positive feedback loops are possible. Insofar as they stay within predetermined bounds, negative feedback loops are self-regulating and helpful for maintaining an ideal state. One of the most well-known examples of a self-regulating negative feedback loop is an old-fashioned home thermostat that turns on or off a furnace using bang-bang control.
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Explain how a compass needle works in terms of forces.
Answers
The magnetic fields that are generated naturally by the Earth are what a compass senses and reacts to. Due to gravitational pressure, the iron core of the Earth is partially liquid and partially solid crystal. The Earth's magnetic field is thought to be created by motion in the liquid outer core.
A region where the force is present along hypothetical lines called the magnetic field. This force affects all magnetized objects, including the compass needle, from the south magnetic pole to the north magnetic pole. The needle always faces the north magnetic pole when the Earth's magnetic field is at work.
A magnetic compass can be used to find a magnetic field even though it is undetectable. A tiny bar magnet mounted on a pivot allows a compass to rotate. The magnetic field of a magnet or the Earth's magnetic field is where the compass needle is pointing.
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How do I find average velocity and average speed and would I add or subtract for velocity or speed
Answers
Answer:
X2 -X1/ t2 -t1
Explanation:
To find this speed, you have to use the operation of: X2 -X1/ t2 -t1, we know that x is the distance, we do the operation and that would be our average speed
Force vectors can be added together in any order. It does not matter which vector you draw first, the resultant will be the same, both in length and direction. Practice finding resultant vectors by completing this assignment.
You will need a ruler and a protractor. Calculate the resultant force vector for each of the following sets of two force vectors. You will need the protractor to make sure you are redrawing each force vector in the right direction using the correct angles. The ruler is used to redraw the force vectors with the correct magnitude. After you sketch the resultant, measure the length and the direction of it. Provide the magnitude and direction, including the units, for your answers. The horizontal dotted lines are there simply to help you measure the angles with the protractor. Graph paper would help with this assignment.
Answers
Answer:
Explanation:
It is C
Answer:
Explanation:
Hope this helps :)
2. A car initially traveling at a speed of 16 meters per second accelerates uniformly
by 0.22 meters per second squared for 12 seconds. What is the final velocity of
the car?
Answers
Answer: Final velocity of car is 18.64 m/s
Explanation:
According to equation of motion,
V=U + at
where,
V is final velocity
U is initial velocity
a is acceleration
T is time
in the question,
U=16 m/s
a=0.22 m/s*s
t=12 seconds
on substituting values,
V = 16+(12*(0.22))
V=18.64
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the brakes are applied to a moving van, causing it to uniformly slow down. while slowing, it moves a distance of 40.0 m in 8.20 s to a final velocity of 2.25 m/s, at which point the brakes are released.
Answers
The van was moving at a speed of u is 11.77 m/s when the brakes were first applied.
Equation :The following formula can be used to determine the van's starting speed:
v = u + at
Where,
v is final velocity
u is initial velocity
a is acceleration
t is time
Given data :
v = 2.25 m/s
a = ?
u = ?
t = 8.20 s
Now, by solving the formula
a = v - u / t
To find the initial velocity, we must now use another kinematic equation.
u² = v² - 2ad
By putting values of equation (1) into (2) we have:
u² = v² - 2 ( v - u / t)d
u² = (2.25 m/s)² - 2 (2.25 m/s - u / 8.20 s) 40 m
u² = 41.51 - 80 x 2.25
u² = 41.51 - 180
u = 11.77 m/s
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A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?.
Answers
The change in momentum of the ball travelling along a straight path, perpendicular to a wall, after bouncing off the wall as observed by the ground observer is 0
Δp = [tex]p_{f}[/tex] - [tex]p_{i}[/tex]
Δp = Change in momentum
[tex]p_{f}[/tex] = Final momentum
[tex]p_{i}[/tex] = Initial momentum
p = m v
m = Mass
v = Velocity
Since, [tex]p_{f}[/tex] = [tex]p_{i}[/tex]
Δp = 0
Momentum can be simply defined as a mass in motion. So if an object with mass moves, it will have momentum. It is a vector quantity.
Therefore, the change in momentum as observed by the ground observer is 0
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A bird is flying with a speed of 13.8 m/s over water when it accidentally drops a 1.60 kg fish. The acceleration of gravity is 9.81 m/s 2 . If the altitude of the bird is 7.80 m and air resistance is disregarded, what is the speed of the fish when it hits the water? Answer in units of m/s.
Answers
Answer: 69
Explanation: 160 divided by 2 is 69
Two 120v light bulbs, one 25w and one 200w, were connected in series across a 240v line. It seemed like a good idea at the time, but one bulb burned out almost instantaneously. Which one burned out, and why?.
Answers
The 25w bulb burned out.
Both bulbs (200w and 25w) are connected in series to the 240v line, the same current is expected to flow in them. The expected resistance of the 200W bulb will be less than 25W. Therefore more potential difference than 120V will be developed in 25W bulb hence it will fuse.
As per the question:
Voltage, V = 120 V
Power of bulb 1, P = 25 W
Power of bulb 2, P' = 200 W
Voltage in series, V' = 240 V
Now,
When the two bulbs are connected in parallel, voltage across them is same and the current in the two branches is different.
Using P= V²/R to calculate the respective resistances of the two bulbs:
25 = 120²/R
R = 120²/25
R = 576Ω
100 = 120²/R
R = 120²/100
R' = 144Ω
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The 25W bulb burned out almost instantaneously when the two light bulbs were connected in series across a 240V line because the voltage across it is much more than its rated voltage.
Two lights bulbs, one 25w and another 200w, to find the bulb that burn out almost instantaneously, we first find the following:
Resistance R=V^2/P
For the bulb of 25W
Resistance=120^2/25
=576.0Ω
For the bulb of 200W
Resistance=120^2/200
=72.0Ω
Net resistance of the circuit:
R=R25W+R200W
=576.0+72.0
=648.0Ω
Current, I
I=E/R
=240/648.0
=0.370A
Voltage across 25W bulb
Voltage=I*R
=0.370*576.0
=213.12V
Voltage across 200W bulb
Voltage=I*R
=0.370*72.0
=26.64V
Since voltage across 25W bulb is much more than its rated voltage of 120V, 25W bulb will burn out.
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A bubble of gas is released from the mud at the bottom of the pond. It’s initial volume is 0.5cm^3. Ignoring any temperature differences in the water calculate the volume of the bubble as it reaches the surface
Answers
The volume of the bubble of gas when it reaches the surface is 1 cm³.
What is Boyle's law?
Boyle's law states that the pressure of a given mass of a gas is inversely proportional to its volume provided that the temperature of the gas is constant.
Mathematically, Boyle's law is given as;
P₁V₁ = P₂V₂
where;
P₁ is the initial pressure of the gasP₂ is the final pressure of the gasV₁ is the initial volume of the gasV₂ is the final volume of the gasWhen the pressure at the bottom is double the pressure at the surface, then the pressure at the surface is half the pressure at the bottom.
V₂ = P₁V₁/P₂
Let the pressure at the surface = P
V₂ = (2PV₁)/P
V₂ = 2V₁
V₂ = 2(0.5 cm³)
V₂ = 1 cm³
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The complete question is below:
A bubble of gas is released from the mud at the bottom of the pond. It’s initial volume is 0.5cm^3. Ignoring any temperature differences in the water calculate the volume of the bubble as it reaches the surface if the pressure at the bottom is twice the pressure at the surface.
a passenger railroad car has a total of 8 wheels. springs on each wheel compress--slightly--when the car is loaded. ratings for the car give stiffness per wheel (the spring constant, treating the entire spring assembly as a single spring) as 2.8×107n/m.
Answers
When 30 passengers, each with average mass of 80 kg, board the car, the car moves down by 0.0001501m.
Here's the complete question:
A passenger railroad car has a total of 8 wheels. Springs on each wheel compress--slightly--when the car is loaded. Ratings for the car give stiffness per wheel (the spring constant, treating the entire spring assembly as a single spring) as 2.8×10⁷N/m.
When 30 passengers, each with average mass of 80 kg, board the car, how much does the car move down on its spring suspension? Assume that each wheel supports 1/8 the weight of the car.
g = Acceleration due to gravity = 9.81 m/s²
k = Spring constant = 2.8×10⁷n/m
x = Compression of spring
F = Force = Mg
Mass of passengers = 30*6=80 = 2400kg
Each spring supports the following mass
m = 2400/8
m = 300kg
Force of spring (F) = kx
x = F/k
x = mg/k
x = 300*9.81/2.8×10⁷
x = 0.0001501
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What powers a roller coaster after its initial boost
Answers
two spheres have identical charges and are 75cm apart. the force between them is 0.30N. what is the magnitude of the charge on each sphere?
Answers
The magnitude of the charge on each sphere 4.33 × 10^(-6) C.
What is magnitude?Magnitude means simply "distance or volume" in the perspective of physics. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics generally refers to a quantity or quantity. The definition of magnitude is "how much of a quantity." In order to compare the speeds of an automobile and a bicycle, for example, the magnitude can be utilized. It can also be used to explain how far an object has traveled or how much an object weighs in terms of its magnitude.
Distance between center's of 2 spheres
r = 75 c
= 0.75 m
Force between the charges
F = 0.3 N
Formula for force between the charges is;
F = (kq1×q2)/r²
Here;
k is a constant = 9 × 10^(9) N.m²/C²
q1 = q2
= q since they are identical charges
Hence ,
F = kq²/r²
q = √(Fr²/k)
q = √(0.3 × 0.75²/(9 × 10^(9))
q = 4.33 × 10^(-6) C
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You place a box weighing 355.9 N on an inclined plane that makes a 36◦ angle with the horizontal. Compute the component of the gravitational force acting down the inclined plane. Answer in units of N.
Answers
The component of the gravitational force acting down the inclined plane has a magnitude of 209.98 N
Eventhough the box is at an inclined plane which makes 36° with the horizontal, the gravitational force will still act straight down perpendicular to the horizontal. Resolving the force due to gravity into its horizontal and vertical components. The vertical component makes 36° with the gravitational force and is at right angles with the horizontal component.
The component of the gravitational force acting down the inclined plane is the horizontal component.
W = 355.9 N
In a right angled triangle,
sin θ = Opposite side / Hypotenuse
sin 36° = [tex]W_{x}[/tex] / W
[tex]W_{x}[/tex] = 355.9 * 0.59
[tex]W_{x}[/tex] = 209.98 N
Therefore, the component of the gravitational force acting down the inclined plane is the horizontal component with a magnitude of 209.98 N
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You are at a circus and you see a stunt man climb up 19.6 meters into a cannon. He gets fired horizontally out of the cannon and lands 150 m away.
How long was stunt man in the air for?
What was his horizontal velocity when he came out of the cannon?
Answers
The man climbs up 19.6 meters into a canon. He gets horizontally fired, so for 2 seconds, the stuntman will be in the air.
What is acceleration?The rate at which an object's velocity varies with respect to time is referred to as acceleration in mechanics. accelerations' magnitude as a vector. Depending on which way the net force is pulling on an object, it will accelerate in that direction.
Acceleration has a magnitude and a direction, making it a vector quantity. Vector quantities include velocity as well. The definition of acceleration is the change in the vector of velocity over a time interval divided by the time interval.
According to the question,
s = 1/2 gt²
t = [tex]\sqrt{2s/g}[/tex]
t = [tex]\sqrt{2(19.6)/9.8}[/tex]
t = 2 seconds.
Hence, the stuntman will be in the air for 2 seconds.
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Please Help!
Will mark as brainliest
Answers
a)
i) the lorry's speed is rising and then stays at a constant speed
ii) it is accelerating but after 40 seconds, it stays at a constant speed
b)
speed= 25m/s
speed= 90km's
Answer:
See below
Explanation:
Lorry starts from rest , then accelerates to reach a constant velocity of 25 m/s
Initial Acceleration = 10 m/s / 20 s = 1/2 m /s^2
Maximum speed is 25 m/s= 25 m/s * 1 km / 1000 m * 3600 s /hr = 90 km/hr
a certain superconducting magnet in the form of a solenoid of length 0.50 m can generate a magnetic field of 9.0 t in its core when its coils carry a current of 75 a. the windings, made of a niobium-titanium alloy, must be cooled to 4.2 k. find the number of turns in the solenoid.
Answers
The solenoid is the component that converts electrical energy into magnetic energy. It is created with the aid of a wire coil.
This gadget generates a magnetic field, which is then put to use in a variety of ways. Inside the solenoid, the magnetic field's direction remains constant. The device that transforms electrical energy into magnetic energy is a solenoid. It is made possible by a wire coil. This device creates a magnetic field that is subsequently used in a number of different ways. The magnetic field has a consistent direction inside the solenoid.
To calculate how many turns into gloomy oid there are. The magnetic field equation for the solenoid is the simplest method to remember how to achieve that. Mu not N times I times L, where mu naught is the constant N, gives us B.
I have taken how many turns. is the solenoid's length, and is the current. Our Bs nine Tesla RL is 90.50 m mu not four pi times 10 to the negative seven and I 75 amps, so we may rearrange this so that the end will be equal to B times L divided by mu naught times I.
We'll therefore obtain 4.5 divided by 9.42 multiplied by 10 to the negative 5.
And we will receive several phrases of 47746. hence, um,.4. We will thus have this many turns to bother this cell.
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Considering what you have learned in this lab and in class, write a hypothesis to explain why we observe a higher fraction of elliptical galaxies within a cluster and a higher fraction of spiral galaxies in the field. Think about how being in a crowded cluster versus alone might affect the morphology or appearance of a particular galaxy.
Answers
We observe a higher fraction of elliptical galaxies within a cluster because they are dim and consist of older stars. So, such type of galaxies affects the closer galaxies, which makes it to be in clusters making the closer galaxies similar.
Consequently, we also observe a higher fraction of spiral galaxies in the field because spiral galaxies consist of big arms with most of the young stars. These are less in the universe as per our observation. So, such type of galaxies appears in a field because of their high brightness and structure.
According to the observations, elliptical galaxies are more in comparison to the spiral galaxies.
These elliptical galaxies are dim and consist of older stars. So, such type of galaxies affects the closer galaxies, which makes it to be in clusters. It makes the closer galaxies similar.
Spiral galaxies consist of big arms with most of the young stars. These are less in the universe as per our observation. So, such type of galaxies appears in a field because of their high brightness and structure.
If the cluster is crowded, there would be more elliptical galaxies as the collision of spiral galaxies forms elliptical galaxies. The spiral arms of the spiral galaxies are most affected by the collision and the morphology of the galaxy changes. It goes from spiral to elliptical. Probability of such collisions is more in crowded clusters in comparison to alone galaxies.
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Two charged objects repel each other with a force of 0.900 N. The charge on one is then tripled and the charge on the other is increased by a factor of 5/3. If the distance between them is then double, determine the magnitude of the resulting force.
Answers
The magnitude of the Resulting force calculated is 1.125 N.
The force of repulsion between two objects is calculated by Coulomb's Law which is a quantitative statement between 2-point charges. The equation of Coulomb's Law is,
F = [tex]\frac{ K q^{2} }{r^{2} }[/tex]
where k = Dielectric constant of the medium also called Relative permittivity of medium and is dimensionless.
In the first case, Force is F = 0.900 N
In the second case, given, one q is tripled and the other is increased by a factor of 5/3. Distance between is doubled, Let the final force be F'
[tex]F' = \frac{kq^{2} *5}{r^{2} *4}[/tex]
F' = (0.009 × 5)/4
F' = 1.125
Hence, the Final force is 1.125 N
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Who did experiments with light , known as the double-slit experiments, to produce interference patterns that could only be explained by evoking a wave-like nature for light?.
Answers
Answer:
Thomas Young
Explanation:
Hope this helps.
Is the change created by melting a physical change or chemical change? Explain.
Answers
The change created by melting is known to be called a physical change.
Is melting a physical change or chemical change?A physical change happens when a given substance's physical characteristics alters without undergoing a kind of chemical composition.
Note that Melting, changes in size, as well as in volume, color, also density, and crystal shape are said to be an examples of common physical changes.
Physical changes, like melting or the act of boiling, are usually simple to undo even though the final result might not always look exactly the same as the original. Aside from gaining or losing energy, particles do not change during physical changes and no new materials are created.
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PLEASE HELP ASAP THIS IS DUE TMR!!!!!!!
Answers
The table for the mass of the bicyclist and kinetic energy, and Chloe's speed and kinetic energy, gives the attached graphs of kinetic energy and mass and Chloe's kinetic energy and her speed.
The relationship shown on the graph of the kinetic energy to mass shows that at constant velocity, v, the kinetic energy is directly proportional to the mass.
The relationship shown in the graph of Chloe's kinetic energy to velocity indicates that the kinetic energy varies quadratically with the velocity as the graph is shaped like half of a parabola like the graph of a quadratic equation
What is the formula that gives the relationship between kinetic energy and mass?Please find attached the graph of the kinetic energy versus mass for the bikers, showing the mass of each biker using a combination graph of a line graph and a column chart.
Please find the graph of Chloe's kinetic energy versus her speed created from the given table using a spreadsheet application
The relationship shown in each graph are as follows;
K.E. = 0.5•m•v²
Therefore, at constant velocity, v, kinetic energy is directly proportional to the mass, and as the mass increases, the kinetic energy increases proportionately
The graph of kinetic energy to mass therefore increases from left to right as mass increases forming the approximately straight red line.
Second graph (kinetic energy to mass)
The relationship between kinetic energy and Chloe's velocity, can be expressed mathematically as follows, given that her mass is constant
K.E. = 0.5•m•v²
K.E. = (0.5•m)•v²
The quantity, (0.5•m), c is a constant, therefore;
K.E. = c•v²
Given that the minimum velocity, v, of Chloe in the given direction can be taken as 0, the graph of kinetic energy to velocity increases quadratically (in the form of half of a parabola) from left to right as the velocity increases.
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A mischievous boy plans to drop a water balloon from a tree onto a cyclist passing under him in the park. if the cyclist is traveling at a constant speed of 30 km/hr and the distance the balloon falls is one half the distance the cyclist travels while it is falling, how long will the balloon be falling?
Answers
The balloon will be falling for 0.84 seconds.
The boy is going to drop the balloon when the speed of the cyclist is 30km/hr. i.e. 8.33m/s
Let the distance covered by the cyclist is L. According to question, the distance travelled by the L/2.
Considering that the balloon falls on the head of cyclist.
We can understand, the time period t of the distance travelled by the boy and the balloon will be same.
As the acceleration is constant, we can use equation of motion.
For the balloon,
L/2 = 1/2gt²
Now,
No acceleration for the cyclist, so, for cyclist,
L/t = 8.33m/s
t = L/8.33
Putting the value of t = L/8.33 in L/2 = 1/2gt²,
L/2 = 1/2g(L/8.3)²
L/2 = 1/2gL²/68.89
1 = Lg/68.89
Taking g = 9.8
L = 7.02m
Now we can calculate the time by putting L = 7.02m in
L/t = 8.33m/s
t = 0.84 seconds.
The balloon will take 0.84 seconds to fall down.
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