The ratio of the greatest static friction force (F) between the surfaces in contact before movement starts to the normal force (N) is known as the coefficient of static friction.
Create an inclination plane out of one of the materials, then place a body made of the other material on it to determine the minimum coefficient of static friction between the two. Up until the body begins to slide, steepen the incline. The coefficient of friction is the angle's tangent.
A body of mass m experiences both a horizontal and a vertical component of gravity when you increase the incline.
Applying Newton's Law to each of them right before the body begins to move reveals that Fx = max is the value for the horizontal component, which acts in the x-direction.
The same holds true for the y-axis: Fy = may.
F on one side and umg on the other will exert forces on the body of mass "m."
Write the formula as F-umg=ma.
In the direction F is acting, the force on mass "2m" will be umg. (Observe how the frictional force acts on mass "m" on the left side and mass "2m" on the opposite side.)
Formula: umg=2ma
The acceleration of both bodies should be the same for a no-slip condition; to find the solution, simply substitute the acceleration from equation (2) into number 1.
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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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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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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Which statement about the event above is NOT correct?
Answer:
i think its A
Explanation:
A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg·m/s backward. What is the momentum of the rocket?
The momentum of the rocket is 1,500 kg m/s forward.
Momentum is the amount of motion of a moving body measured as the product of its mass and velocity.
According to the law of conservation of momentum, which states that the total momentum of the system must be constant.
It means that the change in momentum of the system must be equal to zero. Here the system is the rocket and the gases. So, applying the law of conservation of momentum to this system,Momentum of Gas + Momentum of Rocket = 0
Taking, forward direction as positive and the backward direction as negative
Momentum of Rocket - Momentum of the gas = 0
Momentum of Rocket - 1500 = 0
Momentum of Rocket = 1500 kg-m/s
Therefore the momentum of rocket is 1500 kg-m/s in forward direction.
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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 :)
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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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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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
A graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 2 meters to 4 seconds 8 meters.
Which statements describe the motion of the object represented by the graph? Select three options.
The object is moving away from the origin.
The object is moving towards the origin.
The object started at the origin.
The object started at 2 meters.
The object is traveling at a constant velocity.
The true statements are;
The object is moving away from the origin.The object started at 2 meters.The object is traveling at a constant velocity.What is the position time graph?The position time graph is the graph that shows the movement of a body over a given time interval. Let us note that a graph is always plotted on the cartesian coordinates. One of the coordinates is vertical and the other coordinate is horizontal. This is the nature of the plot in the question
Having said this, we know from the question that; a graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 2 meters to 4 seconds 8 meters.
Thus, we can say that, the statement that is true about the graph can be seen in the first section of the answer.
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Answer:
1- The object is moving away from the origin.
2- The object started at 2 meters.
3- The object is traveling at a constant velocity.
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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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
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 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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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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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 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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An atom of element X has one more shell of electrons than an atom of beryllium, but has one less valence electron than beryllium. Which element is element X?
The element x that has an atom which has one more shell of electrons than an atom of beryllium, and one less valence electron than beryllium is Sodium ( Na )
The number of shell of electrons in
Beryllium = 2 ( 2 , 2 )Sodium = 3 ( 2 , 8 , 1 )The number of valence electrons in
Beryllium = 2 ( 2 , 2 )Sodium = 1 ( 2 , 8 , 1 )The shell that is closer to the nucleus is called as K shell. The next one is called L shell, followed by M shell and N shell. The K shell can hold 2 electrons, L shell can hold 8 electrons, M shell can hold 18 electrons and N shell can hold 32 electrons.
Therefore, the element X is Sodium ( Na )
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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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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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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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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.
gravity and orbits phet lab simulation
Answer:
Explanation: is a good compilation
(a) a stuntman with a mass of 88.5 kg swings across a pond from a rope that is 11.5 m. at the bottom of the swing the stuntman's speed is 8.30 m/s. the rope's breaking strength is 1,000 n. will the stuntman make it across the pond without falling in? yes no (b) what if? what is the maximum speed (in m/s) that the stuntman can have at the bottom of the swing on this vine to safely swing across the river? m/s
a) Since the rope's breaking strength is 1,000 N Therefore therefore the stuntman cant make it without falling
b) The maximum speed (in m/s) that the stuntman can have at the bottom of the swing on this vine to safely swing across the river is 4.24m/s
To determine if the stuntman will make it across the pond without falling, we will solve for tension. Using the equation for Tension which is mathematically given as
T = mv²/r + (mg)
Where:
Mass of swing; m = 88.5
Speed or velocity of the stuntman; v = 8.30m/s
Length of rope; r = 11.5m
Gravity; g = 9.8
T =(88.5*8.30)²/11.5 + (88.5*9.8)
T = 6096.76 + 867.3
T = 5229.46N
Since the rope's breaking strength is 1,000 N Therefore he cant make it without falling
b. In finding the maximum speed that the stuntman can have at the bottom of the swing, We substitute into the equation for tension given as:
T = mv²/r + (mg)
1000 =(88.5*v²)/11.5 + (88.5*9.8)
v² = 4.24m/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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the ebb and flow of the tides has been occurring every day for millions of years. but nothing lasts forever. so, the motion of the tides will die out within a few years.
the motion of the tides will die out within a few years due to weak and uncogent, true premise, probably false conclusion.
The two gravitational and inertial tidal bulges will spin around the Earth as the moon's location changes. These peaks are high tides, and the flat sides are low tides. A lunar day is the amount of time needed for one point on Earth to complete one full rotation and arrive at the same location with respect to the moon. The moon circles around the Earth in the same direction that the Earth is rotating, which accounts for why a lunar day is longer than a typical 24-hour day. The Earth needs an additional 50 minutes to "catch up" with the moon.
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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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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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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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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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