According to the question the resistance of the heater is 3.33 Ω.
What does the term "resistance" mean?The ohm, frequently written as a word and sometimes represented by the capital Greek letter omega, is the unit of resistance that is typically used.The resistance of a line is directly proportional to its diameter if the temperature and many other physical factors remain constant. It indicates that if the length increases, the resistance does too; conversely, if the length decreases, the resistance also decreases.
as we know that,
V = IR
I = 4.2A
V= 14 v
R = V/I
= 14/4.2
= 3.33 Ω
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a teacher needs 0.75 kg of aluminum for a laboratory experiment on single replacement reactions. how many atoms of aluminum will be used in the lesson?
In order to do a lab experiment on substitution reaction reactions, a requires teachers 0.75 kilos aluminum. How many aluminum atoms will be utilized in the
Describe replacement.
replacement explained 1: the replacement process or action; the replacement condition replacing someone, especially in a position or function Example Sentences for Synonyms Understanding Replacement
What distinguishes replacement from substitution?
Replacing someone or something with an analogous one is the act of doing so; "replacing the superstar will not be easy." replacing. Put another item or person in their place: "He sent Smith in for Johnson but the replacement came too late to help." Substitution, commutation, exchange.
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the principle that allows a scissor lift to raise the platform on top of it to a considerable height can be illustrated with four freezer pop sticks attached at the corners. answer these questions about what happens to parallelogram abcd when you change its shape as in the illustration. a. is it still a parallelogram? explain. b. is its area the same? explain. c. compare the lengths of the diagonals in the two figures as you change them. d. describe a process that might be used to raise the platform on a scissor lift.
The area of the parallelogram shrinks because the principle that allows a scissor lift to raise on top of it to a significant height can be demonstrated with four freezer pop sticks.
An explanation of a parallelogram
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
Rhombus or parallelogram?
Angles on either side are equal. However, a rhombus is referred to as a square if all of its angles are 90 degrees. Additionally, every rhombus is regarded as a parallelogram, but the opposite is never true.
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two charged ping-pong balls separated by a distance of 1.53 m exert an electric force of 0.0174 n on each other. what will be the force if the objects are brought closer, to a separation of only 29.7 cm?
If the particles are closely connected, to a distance of only 29.7 cm, the force is equal to 1.024N.
Describe a force.Force is indeed a necessary attribute that alters or has the potential to alter an object's posture of rest as well as motion as well as its shape.
What kinds of forces are there?These are the kinds of forces that occur when two objects come into contact with one another physically. There are several different kinds of contact forces, including friction, tensions, normal force, acting on an object force, applied force, and spring force.
Coulomb's law F = kQ1Q2/d^2
kQ1Q2 = Fxr^2
Substituting,
kQ1Q2 = 0.0174N x (1.53m)^2
kQ1Q2 =0.0532
29.7cm = 0.297 m
F = kQ1Q2/d^2
= 0.059/(0.297)^2
F = 1.024N
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a pulse has a speed of 2,5m.s how far will it have traveled in 6s
Answer:
s = 15 m
Explanation: speed = 2.5 m/s
time = 6s
v = s / t
2.5 = s/ 6
2.5 × 6 = s
s = 15 m
∴ The distance travelled by the pulse in 6s is 15 m.
The distance covered by a pulse which has a speed of 2.5m/s and time 6 seconds is 15 meters.
What is Speed?Speed is the distance covered by an object in a particular time period. It is a scalar quantity as it has only magnitude and no direction. The SI unit of speed is meter per second (m/s).
The speed of an object can be calculated by the formula:
Speed = Distance travelled/ Time taken
Speed = 2.5 m/s
Time = 6 seconds
Distance = Speed of the object × time taken
Distance = 2.5 × 6
Distance = 15 meters
Therefore, the distance covered by the pulse is 15 meters.
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Which of the following observations led Bohr to formulate his model of the hydrogen atom?
a. A low-density gas emits a series of sharp spectral lines.
b. Electrons are observed to have wave nature.
c. The peak of blackbody radiation moves to shorter wavelengths as temperature increases.
d. Neutrons form a diffraction pattern when scattered from a nickel crystal.
The observations that led Bohr to formulate his model of the hydrogen atom is a low-density gas emits a series of sharp spectral lines. Thus, option A is correct.
What is low-density gas?An object's density is calculated by dividing its mass by the volume it occupies (volume). This provides a ratio of specific objects per unit volume of space.
The individual molecules in the gaseous state are more dispersed than they are in the liquid or solid phases, so there is less of the object for the same volume of space in the gaseous state than in the other phases.
Use what our old friend Archimedes noticed to your advantage. He found that when submerged in a fluid, a body experiences an upward force equal to the weight of the fluid it has displaced.
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explain the working principle of van graffs generator
A Van de Graaff generator is a type of electrostatic generator that uses a moving belt to build up and transfer a large electrical charge to a hollow metal sphere or other high voltage terminal.
The basic principle of operation is that a belt made of a non-conductive material, such as rubber, is driven by a motor, passing over a pulley at the bottom of the generator and a second pulley at the top.
The belt is charged by friction as it rubs against the bottom pulley, which is connected to a high voltage source.
As the belt moves, it carries the charge to the upper pulley, where it is transferred to the high voltage terminal, such as the hollow metal sphere. The charge is transferred from the belt to the terminal through a process called corona discharge.
Once the charge is transferred to the terminal, it can be used for various applications such as particle acceleration, X-ray generation, and research in high voltage phenomena.
A Van de Graaff generator can produce high voltage output, up to millions of volts, due to the accumulation of charges on the sphere.
The terminal is insulated from the ground to prevent any discharge until a high voltage is reached. This makes it useful for various scientific experiments and applications.
which universal gas constant to use when converting from regular equilibrium to pressure equilibrium
J/kg K is the most widely used unit in the SI system. 1 J/kg K is equal to 5.97994 ft lb/slug °R, and 1 ft lb/slug °R is equal to 0.167226 J/kg K.
What does the SI system mean?A universal standard for expressing the magnitudes or quantities of significant natural events is the International System of Units. The acronym SI, which derives from the French term Système international d'unités, stands for the System of Units, also known as the metric system.
What is the SI measurement system?Starting with seven base units—the second (symbol s, the unit of time), metre (m, the unit of length), kilogram (kg, mass), ampere (A), electric current, kelvin (K, the thermodynamic temperature), mole (mol, the amount of substance), and candela (cd, the luminous intensity)—the SI consists of a coherent system of units of measurement.
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the allowed energies of a simple atom are 0.0 ev, 4.0 ev, and 6.0 ev. What wavelength(s) appear(s) in the atom's emission spectrum? Express your answer in nanometers. If there is more than one answer, enter your answers in ascending order separated by commas. 2. What wavelength(s) appear(s) in the atom's absorption spectrum? Express your answer in nanometers. If there is more than one answer, enter your answers in ascending order separated by commas.
The wavelength appear(s) in the atom's Emission spectra: 303.2 nm, 706.5 nm and in Absorption spectra: 303.2 nm, 706.5 nm
The energy levels of an atom are determined by the number of electrons in the atom and the energy levels of the electron. In a simple atom, the allowed energies are 0.0 ev, 4.0 ev, and 6.0 ev. The emission spectrum of an atom is determined by the energy levels of the electrons and the energy levels of the atom.
When an electron in the atom jumps from a higher energy level to a lower energy level, it releases energy in the form of a photon. The wavelength of the photon can be calculated using the equation: wavelength = hc/energy.
For example, when an electron jumps from the 4.0 ev level to the 0.0 ev level, it releases a photon with a wavelength of 706.5 nm. When an electron jumps from the 6.0 ev level to the 4.0 ev level, it releases a photon with a wavelength of 303.2 nm.
The absorption spectrum of an atom is determined by the energy levels of the electrons and the energy levels of the atom. When an atom absorbs a photon, an electron jumps from a lower energy level to a higher energy level.
The wavelength of the photon that is absorbed can be calculated using the same equation as for the emission spectrum. In this case, the absorption spectra will be the same as the emission spectra.
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Referring to the POWER trendline equation from analysis step 2, what mathematical relationship exists between the wave speed and the density of the medium.
The mathematical relationship exists between the wave speed and the density of the medium is that the density of the medium is inversely proportional to the wave speed.
What is wave speed?The amount of space a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its wave speed. The following equation relates wave speed to both wave frequency and wavelength: Wavelength x Frequency = Speed.
Since sound is a mechanical wave, it moves through a medium by being compressed and rarefied. In an elastic medium, its velocity is proportional to the square root of the tension present. More elasticity in the medium results from higher density, which also increases the ease with which compression and rarefaction can occur. In this manner, the density increases while the sound velocity increases.
As a result, the square root of the medium's density and the velocity of sound in that medium are inversely related.
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A small polyester ball and a piece of polyvinyl chloride (PVC) pipe are given the same negative charge. The ball is then placed over the PVC pipe, where it is observed to remain at rest 30 cm from the pipe. The mass of the polyester ball is 2.0 grams. Determine the charge on the ball.
A. 0.44 μC
B. 4.4 x 10−7 μC
C. 0.050 μC
D. 3.9 x 109 μC
The magnitude of the charge on the ball is 0.44 μC.
option A is the correct answer.
What is the charge on the ball?The magnitude of the charge on the ball is calculated by applying Newton's second law of motion Coulomb's law as follows;
Mathematically, the formula for Newton's second law of motion and coulomb's law is given as;
F = mg
F = kq²/r²
where;
m is the mass of the ballq is the charge of the ballg is acceleration due to gravityr is the distance of the ballk is Coulomb's constantkq²/r² = mg
q² = ( mgr² ) / ( k )
q = √ ( mgr² / k )
The magnitude of the charge on the ball is calculated as follows;
q = √ ( 0.002 x 9.8 x 0.3² / 9 x 10⁹ )
q = 4.4 x 10⁻⁷ C
q = 0.44 x 10⁻⁶ C = 0.44 μC
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impulse [im-puhls] [L] n. 1. the influence of a certain mood 2. a sudden urge or desire 3. a driving force caused by forward movement 4. Mechanics. a measure of momentum 5. Physiology. a wave of energy that travels along a nerve to create or stop movement 6. Electricity. a solitary, sudden flow of current in a single direction What is the meaning of impulse as it is used in the sentence below
Impulse refers to the measure of momentum.
What is impulse?
Impulse is a measure of the change in momentum of an object, and it is given by the product of force and time for which the force is applied. Mathematically, impulse is represented as the integral of force with respect to time. The impulse-momentum theorem states that the impulse applied to an object is equal to the change in momentum of the object. This means that the impulse is equal to the final momentum minus the initial momentum of the object.
As used in the sentence "The impulse applied to the ball by the racket can be calculated using the impulse-momentum theorem," impulse refers to the fourth meaning of the word as described in your question.
Specifically, it refers to a measure of momentum, which is the product of an object's mass and velocity. In this context, impulse is a vector quantity that is equal to the change in momentum of an object resulting from a force applied over a certain period of time.
The impulse-momentum theorem states that the impulse applied to an object is equal to the change in momentum of the object, and it is used in mechanics to calculate the effect of forces on moving objects.
Hence, Impulse refers to the measure of momentum.
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a projectile is fired vertically upward from ground level with an initial velocity of 16 ft/s. (a) how long will it take for the projectile to hit the ground? (b) how long will the projectile be moving upward?
The projectile will rise to a height of 16 feet in 3 seconds, reach its highest point in 4.5 seconds, and then fall.
What characteristics create a good projectile example?In physics and engineering, projectile motion has a wide range of applications. The movement of any ball in sports, fireworks, and meteors entering the Earth's atmosphere are a few examples. These objects are referred to as projectiles, and the course they follow is referred to as a trajectory.
What are the different sorts of projectiles?Depending on the direction of the bullet's starting velocity, there are various forms of projectile motion. The three primary types are oblique projectile, horizontal projectile, and vertical projectile motion.
When S = 16 feet, find t in seconds:
16 = 120t - 16t²
16t² - 120t + 16 = 0
Factor:
(8) (2t² - 15t + 27) = 0
Factor further (2x² - 15x + 27):
(t - 3) (2t - 9) = 0
Equate each factor to 0:
t - 3 = 0
t = 3 seconds
2t - 9 = 0
2t = 9
t = 9/2 or 4.5 seconds
t = {3, 4.5
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a triathlete perfoms 1000 kj of work and loses 400 kj of heat while swimming in cold water. how does the internal energy of the triathlete change? how much does the pool (50 m length, 20m width, 2 m depth) warm up? cp (h2o)
The internal energy of the triathlete change 680 J.
The process of converting energy from one form to another is called energy transformation or energy conversion. In physics, energy is a property that gives one the ability to move an object, lift it, or produce heat.
Conduction, radiation, and convection are the three different ways that thermal energy is transferred. Only fluids experience the cyclical process of convection. The total amount of energy in the universe has never changed and will never change because it cannot be created or destroyed.
1 cal = 4.184 J, thus 400 cal = 1673.6 J.
The change in internal energy is ΔU = ΔQ-ΔW
or ΔU = 1673.61000 673.6≈ 680 J
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In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80 m/s^2. Ignore air resistance. Part AA flea jumps straight up to a maximum height of 0.460 m. What is its initial velocity v0 as it leaves the ground?Express your answer in meters per second to three significant figures.Part BHow long is the flea in the air from the time it jumps to the time it hits the ground? Express your answer in seconds to three significant figures.
The initial velocity of jumping flea as it leaves the ground is 2.65[tex]\frac{m}{s}[/tex] and the time that it hits the ground is 0.542s.
The flea jumps with some initial momentum and ascends to its highest point under the influence of gravity.
The Newton's equations of motion can be used to calculate the flea's initial velocity.
By changing the initial velocity value in Newton's equation of motion, it is possible to calculate how long it takes a flea to reach its maximum height.
The time it takes a flea to go to the ground will be twice as long as the time it takes to get to its highest point.
The relationship between velocity, distance, and time of a motion with constant acceleration is described by Newton's equations of motion. The following are the three motion equations:
[tex]y-y_{o}=ut+\frac{1}{2}at^{2}[/tex]
Now putting the values of all variables find the initial velocity u
u=[tex]\sqrt{2(9.8)(0.360)}[/tex]
On solving we get,
u=2.65[tex]\frac{m}{s}[/tex].
Now using,
v=u+at
find the value of t
t=[tex]\frac{0-2.65}{-9.8}[/tex]
t=0.271s
and as the actual time is double of this time
So, time is 0.542s.
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What is the approximate range of masses that newborn main sequence stars can have?
0.1 to 150 solar masses
0.001 to 10 solar masses
0.1 to 10 solar masses
0.001 to 150 solar masses
0.1 to 1000 solar masses
Newborn main series stars can have masses between 0.1 and 150 times the mass of the sun. Less massive than the sun: is the most common star type in newly formed star clusters.
What is referred to as mass?A amount pf matter in such a particle a object is represented by its mass, which is denoted by the symbol m. Inside the International System (SI), the kilogram serves as the default unit of mass (kg).
What does mass signify in terms of physics?The resistance a body in matter offers to something like a change inside its speed or location as a result of the force that is applied is what it is in essence. The change a force applies produces a change that is smaller the more mass a body has.
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Newborn main series stars can have masses between 0.1 and 150 times the mass of the sun. Less massive than the sun: is the most common star type in newly formed star clusters.
What is referred to as mass?A amount pf matter in such a particle a object is represented by its mass, which is denoted by the symbol m. Inside the International System (SI), the kilogram serves as the default unit of mass (kg).
What does mass signify in terms of physics?The resistance a body in matter offers to something like a change inside its speed or location as a result of the force that is applied is what it is in essence. The change a force applies produces a change that is smaller the more mass a body has.
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B7-BCT14: OSCILLATING MASS ON SPRING DISPLACEMENT-TIME GRAPH ENERGY A cart attached to a spring is given an initial push, displacing it from its equilibrium position. A graph of displacement as a function of time for the cart is shown at right. The system has a total initial energy of 12 J and there is no friction. Five points are labeled A-E in the graph
The graph points are described below.
What is kinetic energy ?
The movement of an object or a subatomic particle exhibits the kinetic energy, often known as the energy of motion. Every atom and object in motion contains kinetic energy. Kinetic energy is present whenever something moves, such as when a person walks, a baseball soars through the air, a piece of food falls from a table, or a charged particle moves in an electric field.
What is potential energy ?
A sort of energy that can be stored but is reliant on the locations of various system components in relation to one another is known as potential energy. A spring gains potential energy when it is stretched or compressed.
P.E= 1/2Kn²
K.E = 1/2 mv²
since the sum will be always constant
At point A.E. is the maximum displacement and the minimum kinetic energy
At point C displacement is maximum so kinetic energy is maximum
At point, B, D it sum of both since displacement is just half of the maximum
so half of the P.E will be converted to K.E.
Therefore, graph points are described below.
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a bumblebee can sense electric fields as the fields bend hairs on its body. bumblebees have been conclusively shown to detect an electric field of 60 n/c. could a bumblebee use this sense to detect the presence of another nearby bumblebee? suppose a bumblebee has a charge of 24 pc. how far away could another bumblebee detect its presence?
The 6cm far away could another bumblebee detect its presence. An electric field of 60 n/c.
What is the electric field's direction at the dot's specified location?The positive charge at the dot produces an electric field that is directed away from the positive charge. The negative charge at the dot is the target of the electric field that it produces.
Field strength: What is it?The field strength in physics refers to the size of a vector-valued field, such as the electric field E's magnitude expressed in volts per meter, or V/m. For instance, an electromagnetic field produces both a strong electric field and a strong magnetic field.
Given:
Electric field E = 60 N/C
Charge q = 24 pC
Electric field [tex]E=K\frac{q}{r^2}[/tex]
[tex]r=\sqrt{K\frac{q}{E} }[/tex]
[tex]K=8.99*10^9\frac{Nm^2}{C^2}[/tex]
[tex]r=\sqrt{(8.99*10^9)\frac{24*10^-12}{60} }[/tex]
[tex]r=6cm[/tex]
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Part A Are there components of the velocity that cannot be determined by measuring the force? View Available Hint(s) yes no Submit Part B Calculate the x component of the velocity o the particle Express your answer In meters per second t0 three slgnificant llgures. View Avallable Hint(s) AE$ Ur Submll
"Yes, there are components of the velocity that cannot be determined by measuring the force."
Two-dimensional motion is more complex than one-dimensional motion because velocities can point diagonally. A baseball, for instance, could be going diagonally while also moving both horizontally and vertically. We split the baseball's velocity vector into two separate horizontal start subscript and finish subscript directions to simplify our calculations.
It is challenging to attempt to solve for both the horizontal and vertical directions of a baseball in a single equation; it is preferable to use a divide-and-conquer strategy.
When we have two unknowns, we need to solve it using two equations.
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determine the electric field inside a parallel plate capacitor in vacuum where one plate has a surface change density
The electric field inside a parallel plate capacitor in a vacuum can be determined using Coulomb's law and the surface charge density on one of the plates. If one plate has a surface charge density and the other plate is neutral, the electric field between the plates will be in the direction of the plate with the surface charge density.
How can one define an electric field?The electric field can be defined as the electric force per unit charge. The direction of the field is assumed to be the direction of the force it would exert on a positive test charge. The electric field is radially outward from a positive charge and radially in toward a negative point charge.
Explain Coulomb's law.According to Coulomb's law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
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If an object is acted upon by a net force, the change in velocity will be?
Answer:
posetive
Explanation:
an object with a force exerted on it will move forwards
ice cubes form as water is placed into an environment cold enough so that it freezes. what is the direction of heat transfer during this process?
According to the question, Heat always flow from high temperature to cold temperature so thats why water forms ice cube.
Describe heat.Heat is the result of the movement of kinetic energy within a material or an item, or from a source of energy to a material or an object. Radiation, conduction, and flow are the three mechanisms through which such energy can be transferred.
What does heat energy fundamentally consist of?The joule is the measure of heat quantity (J). Heat flow can be stated in terms of joules per second (J/s), however for practical purposes, the unit watt (W) is typically used because one joule per second equals 1 watt of heat flow.
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In relation to the density of Earth's Moon, Mercury's density suggests that the planet
(a) has an interior structure similar to that of the Moon; (b) has a dense metal core; (c) has a stronger magnetic field than the Moon;
(d) is younger than the Moon
In relation to the density of Earth's Moon, Mercury's density suggests that the planet has a dense metal core option b is the correct option.
How does Mercury resemble the Moon?Similar to the Moon, Mercury is a planet. It lacks an atmosphere and possesses enormous, elongated round basins and circular impact craters all over its surface. Since Mercury appears to have been subjected to the same bombardment that sculpted the Moon in its early history, much of it resembles the lunar highlands.
What distinguishes planets and moons, and what do they have in common?No matter how big or little, the object a moon orbits is what distinguishes it from a planet. Every planet revolves around a star, just like our sun. Moons nevertheless revolve around planets. This implies that they orbit the sun as well, but only as a bystander on the journey of their planet.
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ASAP pls solve this question ASAP
Pick any natural or human-designed system of interest to you. List four components and describe what part of the process each contributes to making the system run well.
A human-designed system is computer. Four important of computer is:
Input UnitOutput UnitMemory UnitControl UnitWhat are the component of computer?Only when a command is delivered to a computer will it answer. The input unit or the input devices can be used to issue these commands.When we tell a computer to do anything, it responds by going back and giving us the output. Output is the name of this output. The computer is connected to a variety of output devices.Utilizing an input device, we can enter data into a computer, which is instantaneously saved in the memory of the central processing unit (CPU).The central component that controls how a computer device operates is called the control unit. One of the most important parts of the computer system, it.Learn more about computer here:
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The two ropes seen in FIGURE are used to lower a 255 kg piano 5.00 m from a second-story window to the ground. How much work is done by each of the three forces?
The work is done by each of the ropes and gravity are 6375 Joules and 12750 Joules respectively during lowering the piano.
The mass of piano that has to be lift up is 255 kg.
The ropes has to lower the piano till height of 5 M from a second story window to the ground.
The work done during lowering the piano should be,
W = MgH
W is work done,
M is the mass,
g is the gravitational acceleration,
H is the height.
Putting values,
W = 255×10×5
W = 12750 Joules.
The work done by each rope will be 6375 Joules.
The work done by gravitation force will be 12750 Joules.
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if a person weighs 600n on earth. would this person weigh more or less on a planet with a larger radius
If a person weighs 600 N on Earth, they would weigh less on a planet with a larger radius. The weight of an object is determined by the force of gravity acting on it, and the force of gravity is directly proportional to the mass of the object and inversely proportional to the square of the distance between the object and the center of the planet. As the radius of the planet increases, the distance between the object and the center of the planet increases, which would decrease the force of gravity acting on the object and therefore decrease the object's weight.
It's worth mentioning that the mass of the person would be the same, so their weight would change due to the gravitational force.
the next time you are charged by an angry elephant, it might be helpful to zig-zag as you run away instead of running in a straight line. why?
Run in a zig-zag figure if the elephant makes a real charge. If an elephant makes a real charge, shouting will not be sufficient to deter it. If you were noticed the signs of a real charge, start running.
A head starts and a zig-zag running pattern should keep you secure from the charge. A charging elephant can run much rapid than you, but if you zig-zag, you might be able to escape it.
Elephants find it problem to change directions due to their heavy size.
If you do run, the plan should be to place as much distance between yourself and the elephant.
Elephants that are afraid, upset, or angered can run up to 35–40 km/h (21–25 mph), while the fastest human being clocked in at around 37-38 km/h (23 mph) for a short sprint.
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a ball is thrown directly downward with an initial speed of 7.10 m/s, from a height of 30.8 m. after what time interval does it strike the ground?
The ball strikes the ground after an interval of approximately 1.48 seconds.
What is gravitational force?Gravitational force is the force of attraction between two objects that is proportional to the mass of the objects and the distance between them. It is the force that causes objects to fall towards the center of the earth and it is the force that holds planets and other celestial bodies in orbit around the sun.
To determine the time interval that the ball strikes the ground, we can use the equation of motion for vertical motion under the influence of gravity:
y = vit + 1/2g*t^2
where y is the vertical displacement (or height), vi is the initial velocity, t is the time interval, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
We know that the initial velocity (vi) is -7.10 m/s (since it is thrown downward), the initial height (y) is 30.8 m, and the final height is 0 m (since it strikes the ground). So,
y = vit + 1/2g*t^2
0 = -7.10t + 1/29.8*t^2
To solve for t, we can divide both sides of the equation by -1/2*g
t = (-2*y/g) / vi
t = (-2*30.8/9.8) / -7.1
t = 1.48 s
So, the ball strikes the ground after an interval of approximately 1.48 seconds.
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what tool would you use to measure how much energy air molecules have?
The temperature of the air determines how much energy does air molecules have, and we use thermometers to determine the temperature of the air molecules.
The temperature of the air around a person is known as air temperature, and it is commonly expressed in degrees Celsius (°C) or degrees Fahrenheit (°F). Thermocouples and thermistors have been utilised more recently, although mercury in glass thermometers have historically been used to measure it.
Devices that measure temperature or a temperature gradient are known as thermometers (the degree of hotness or coldness of an object). A thermometer contains two crucial components: a temperature sensor, which changes in response to changes in temperature (for example, the bulb of a mercury-in-glass thermometer or the pyrometric sensor in an infrared thermometer).
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a 3.2-kg model rocket is launched, shooting 51.8 g of burned fuel from its exhaust at an average speed of 632 m/s. what is the speed of the rocket after the fuel has burned (ignore gravity and air resistance). answer: m/s
9.8 m/s will be speed of rocket after fuel has burned.
Let m1 be the mass of the rocket, m2 - the mass of burned fuel.
V1 - velocity of the rocket after the fuel has burned,
V2 - average velocity of burned fuel.
According to the law of conservation of linear momentum :
0 = m₁V₁ - m₂V₂
V₁ = V₂m₂/m₁
V₁ = 9.8 m/s
The conservation of linear momentum states that, within some problem domain, the amount of momentum remains constant; momentum is neither created nor destroyed, but only changed through the action of forces as described by Newton's laws of motion.
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a car accelerates uniformly from rest and reaches a speed of 20 m/s in 9.3 s. the diameter of a tire is 31.4 cm. find the number of revolutions the tire makes during this motion, assuming no slipping. answer in units of rev.
The number of revolutions the tire makes during this motion is 94 revolutions.
What is the distance travelled by the tire?
The distance travelled by the tire is calculated by applying the following kinematic equation.
s = [ ( u + v ) / 2 ] x t
where;
u is the initial velocity of the carv is the final velocity of the cart is the time of motion of the cars = [( 0 + 20 ) / 2 ] x 9.3
s = 93 m
The number of revolutions of the tire is calculated as follows;
1 rev = 2πr
where;
r is the radius of the tire = 31.4 cm / 2 = 15.7 cm = 0.157 mN (2πr) = 93 m
N = 93 / 2πr
N = (93) / ( 2π x 0.157)
N = 94 revolutions
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