The total energy of the roller coaster car at the top of the track is 392,000 J.
The total energy of the system at the base of the rollercoaster track is 392,000 J.
The velocity of the car at a height 30 m above the base is 25.53 m/s.
The velocity of the car at the base of the roller coaster track is 40.4 m/s.
What is the total energy of the roller coaster car?
The total energy of the roller coaster car at the top of the track is calculated as follows;
P.E = mgh
where;
m is mass of the carg is acceleration due to gravityh is heightP.E = (500 kg) x (9.8 m/s²) x (80 m)
P.E = 392,000 J
Based on the law of conservation of energy, the total energy of the rollercoaster at the top of the track is the same as that at the bottom of the track.
Thus, total energy of the system at the base of the rollercoaster track = 392,000 J.
The velocity of the car at a height 30 m above the base is calculated as follows;
v² = u² + 2gh
v² = (8)² + 2(9.8)(30)
v² = 652
v = √652
v = 25.53 m/s
The velocity of the car at the base of the roller coaster track is calculated as follows;
v² = u² + 2gh
v² = (8)² + 2(9.8)(80)
v² = 1632
v = √1632
v = 40.4 m/s
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correct answer id C but how.. explain
This concept of resultant is based. on a simple law of vector addition.
So,
R = [tex]\sqrt{F 2 + F₂ 2 + 2 F, Fg cos Ф}[/tex]∅
where ∅ = angle between f1 & f2
R² = √[tex]\sqrt{ 3² + 4 ² + 2(3) (4) cos 90° 2}[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25}[/tex]
= 5N
Magnitude of resultarst force is 5N.
To find the resultant force subtract the smaller force from the larger force. The direction of the resultant force will be in the same direction as the larger force. Draw axes on the free-body diagram. Decompose the force acting on an object into its x and y components.
Add the x and y components of all forces to calculate the x and y components of the resultant force. Finally, find the magnitude and direction of the resultant force using the x and y components. The resultant force is expressed as the total amount of force acting on an object or body along the direction of the object. If the object is at rest or moving at the same speed as the object, the resultant force is zero.
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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?
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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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, 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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if you don't keep giving a car gas, the car will evetually stop
If you don't keep giving a car gas, the car will eventually stop because gas is a fuel that is used by the car as a form of energy.
Why car needs gas for motion?Our car needs gas that allows the vehicle to operate and move in the forward direction. The fuel system does the process of combustion which moves the pistons of the engine and the car moves in the forward direction. Combustion occurs when the fuel in your engine is sparked by the spark plugs of the engine. When the spark combines with the gas fuel, the gas fuel blasts and moves the pistons which are attached to the tires of a car which leads to the movement of the car in the forward direction.
So we can conclude that the car will stop if the gas is not present in sufficient amounts because gas allows the car to move.
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How do I find average velocity and average speed and would I add or subtract for velocity or speed
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.
Answer:
Explanation:
It is C
Answer:
Explanation:
Hope this helps :)
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.
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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an object of unknown mass m is hung from a vertical spring of unknown spring constant k, and the object is observed to be at rest when the spring has extended by 11 cm . the object is then given a slight push and executes shm.
When the object receives a light push and operates, the oscillation's period is T = 2.084 s.
Equation :Calculate time period of the spring with the following formula.
T = 2π√m/k
Where,
m is the mass of the spring
k is the spring constant
As gravitational force is balanced by the spring force.
Now, the above formula can also be written as,
T = 2π√x / g
In this case, x denotes the spring's separation from the equilibrium point.
When a vertical spring has extended by 11 cm (0.11 m),
It is observed that an object with an unknown mass m,
It is suspended from the spring, is at rest
Putting all the values,
T = 2π √ 0.11 m / 9.8
T = 2π √0.011
T = 2.084 s
As a result, when the object receives a light push and operates, the oscillation's period is T = 2.084 s
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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.
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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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?
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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If an astronaut weighs 981 N on Earth and only 160 N on the
Moon, then what is his mass on Earth?
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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.
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 .
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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What is a specific measure to which and other measures are compared to ensure uniformity
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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HELP ME PLEASE!! WILL GIVE BRAINLIEST
(answer keys)
convection
conduction
radiation
1: b, conduction
2: a, convection
3: c, radiation
i hope these answers help! if theyre incorrect i apologize
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.
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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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.
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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Johnny is getting into building and launching model rockets. In designing a rocket, he has to select an engine based on how much force it produces. If his rocket has a mass of 5.00 kg and he wants it to have an acceleration of 12.9 m/s2, how much force in Newtons does the engine need to produce? (Answer should have 3 significant figures.)
The force in Newtons that the engine need to produce is 64.5 N.
What is the force produced by the engine?The force produced by the engine can be determined by applying Newton's second law of motion.
Newton's second law of motion, states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
This law also states that the rate of change of momentum of an object is directly proportional to the force exerted by the object.
Mathematically, Newton's second law of motion is given as;
F = ma
where;
m is mass of the objecta is acceleration of the objectF is force exerted by the engineSubstitute the given parameters and solve for the force applied by the engine.
F = (5 kg)(12.9 m/s²)
F = 64.5 N
Thus, based on the mass and acceleration selected by Jonny, the engine can produce a force of 64.5 N.
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What powers a roller coaster after its initial boost
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.
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 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.
Answer: 69
Explanation: 160 divided by 2 is 69
A tow rope pulls a skier of mass 75 kg up a hill with a force of 20 N. The skier is moving at constant speed. The hill has an incline of 25 degrees. What is the value of the force of friction on the skier? What is the value of the normal force?
The magnitude of the frictional force on the skier is 20 N.
The magnitude of the vertical force of skier is 666.14 N.
What is the frictional force on the skier?The value of the frictional force on the skier is determined by applying Newton's second law of motion as follows;
F - Ff = ma
where;
F is the applied force in horizontal directionFf is the frictional force m is the mass of the skier a is the acceleration of the skierAt a constant speed, the acceleration, a = 0
F - Ff = 0
F = Ff
20 N = Ff
The vertical force due to weight of the skier is calculated as follows;
Fₙ = mg cosθ
where;
θ is the angle of inclination of the hillFₙ = (75 x 9.8) cos(25)
Fₙ = 666.14 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?.
Answer:
Thomas Young
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?
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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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?
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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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?.
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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Please Help!
Will mark as brainliest
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
the electron binding energy for gold metal is . find the longest wavelength (in ) of light that could eject electrons from gold in a photoelectric effect experiment.
The electron binding energy for gold essence is. find the longest wavelength( in) of light that could eject electrons from gold in a photoelectric effect trial.
Electron
The electron is a subatomic flyspeck( denoted by the symbol whose electric charge is negative one abecedariancharge.Electrons belong to the first generation of the lepton flyspeck family, and are generally allowed to be abecedarian patches because they've no given factors or substructure. The electron's mass is roughly 1/ 1836th that of the proton. Quantum mechanical parcels of the electron include an natural angular instigation( spin) of a half- integer value, expressed in units of the reduced Planck constant, ħ. Being fermions, no two electrons can enthrall the same amount state, in agreement with the Pauli rejection principle. Like all abecedarian patches, electrons parade parcels of both patches and swells They can collide with other patches and can be diffracted like light. The surge parcels of electrons are easier to observe with trials than those of other patches like neutrons and protons because electrons have a lower mass and hence a longer de Broglie wavelength for a given energy.
Electrons play an essential part in multitudinous physical marvels, similar as electricity, captivation, chemistry and thermal conductivity, and they also share in gravitational, electromagnetic and weak relations. Since an electron has charge, it has a girding electric field, and if that electron is moving relative to an bystander, said bystander will observe it to induce a glamorous field.
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Explain how a compass needle works in terms of forces.
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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A force of 67 N is applied on a 10-kg object at an angle of 30 o with respect to the horizontal table. If the work done on the object is 257 J, how far has it moved in meters (m)? Ignore friction.
If A force of 67 N is applied on a 10-kg object at an angle of 30 o with respect to the horizontal table and the work done is 257J then the distance it covered is 3.32 m.
What is force?A body can change its state of rest or motion through the application of force, which is an external agent. It has both a magnitude and a direction. The application of force is the point at which force is applied, and the direction in which the force is applied is referred to as the direction of the force.
A spring balance can be used to gauge the Force. The SI unit of force is the Newton (N).
The vector product of mass (m) and acceleration (a) is used to express the amount of force (F) . the formula of force can be written like F = m × a.
The formula for work done is
W = fd cos θ
Here force f = 67 N
Work done W = 257 J
θ = 30°
Substituting the values
d = W/F cos θ
d = 257 /67 (cos 30°)
d = 3.32 m
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PLEASE HELP ASAP THIS IS DUE TMR!!!!!!!
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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