For l = 3, m = -3, -2, -1, 0, 1, 2, 3, and L2 = m th, the angular momentum can be projected in 7 distinct directions.
As the rotating equivalent of linear momentum in physics, angular momentum (rarely moment of momentum or rotational momentum) is used. It is a conserved quantity, meaning that in a closed system, the total angular momentum stays constant, making it a significant physical quantity. The magnitude and direction of angular momentum are both preserved. The conservation of angular momentum is responsible for the beneficial characteristics of bicycles, motorbikes, frisbees, rifled bullets, and gyroscopes. Hurricanes from spiral galaxies and neutron stars rotate rapidly because of the conservation of angular momentum. Conservation often sets a limit on a system's potential motion but does not determine it in any way.
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choose all that apply. matter falling into super-massive black holes in the centers of some galaxies is thought to be the source of:
Our neighborhood galactic center's black hollow,, is a supermassive black hollow with a mass of approximately 4 million suns, which in all fairness small for a supermassive black hollow.
NASA's Hubble Space Telescope and different telescopes have decided that many galaxies have supermassive black holes at their centere. Once in the black hollow's occasion horizon, rely could be torn aside into its smallest subatomic additives and sooner or later be squeezed into the singularity.
As the singularity accumulates increasingly rely, the scale of the black hollow's occasion horizon will increase proportionally. Quasars are believed to be powered through accretion of cloth into supermassive black holes withinside the nuclei of remote galaxies, making those luminous variations of the overall elegance of items referred to as lively galaxies.rely falling into super-big black holes withinside the facilities of a few galaxies is idea to be the supply.
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how to find the resistance of a solenoid with diameteter of wire, radius of cylinder, number of turns, and resistivity
The Power through the solenoid sets the max current you want to run through the coil. Voltage/Current=Resistance.
The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.
The number of turns in a solenoid is equal to its length times the magnetic field strength at its center divided by naught times the current in the solenoid . When it comes to the factors on the left-hand side of this expression, we're given all four of them.
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this standing wave can be treated as the superposition of two waves traveling in opposite directions. what is the speed of those waves?
Wave interference describes the process through which one set of waves interacts with another. When waves going in different directions collide, interference can occur. The amplitudes of the two waves are altered as they interact with one another.
As the two waves cancel each other out, the total displacement is the sum of the two separate ones. Any time there are many waves in the same medium, the principle of superposition can be applied to them. When the waves encounter one another, they just travel through without being affected.
Simply adding up the individual wave displacements yields the net displacement of the medium at any given location and instant in time. This holds for both periodic sine waves and short-lived, pulsing waves.
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a 0.025 kg bullet is fired from a rifle by a force of 200 n. if the force acts on the bullet for 0.1 sec, what is the final velocity of the bullet?
According to the question if the force acts on the bullet for 0.1 sec the final velocity of the bullet is 800 m/s.
How does science define force?In science, the term "force" has a particular definition. At this point, describing a force as pushing or pulling is quite acceptable. In the notion of a force, there both are living organisms and inanimate objects.
Briefing:F = m x a
Solving for a,
a = F/m
Substituting the known values,
a = (200 N)/(0.025 kg) = 8000 m/s²
The maximum velocity of the bullet is the product of the acceleration and the given time.
v = (8000 m/s²)(0.1 s) = 800 m/s
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A television set of 40 watt is used for 2 hours per day for 30 days. Calculate the quantity of the television in kw. energy consumed by the television in kw
Answer:
Below
Explanation:
40 w * 2 hr/day * 30 day = 2400 w - hr = 2.4 kw hr
Calculated energy consumed by the television is 2.4 kW-hr. when Television set of 40 watt is used for 2 hours per day for 30 days.
What is Power?Power is the rate of doing work. Power is also defined as work divided by time. i.e. Power = Work ÷ Time. Its SI unit is Watt denoted by letter W. Watt(W) means J/s or J.s-1. Something makes work in less time, it means it has more power. Work is Force times Displacement.
Dimension of Power is [M¹ L² T⁻³]
Given,
Power P = 40W = 0.04 kW
Time = 2 hr × 30 days = 60 hr
Energy in kW-hr =?
By using formula,
P = Energy ÷ Time
Energy E = Power × Time
E = P× t
E = 0.04 kW × 60 hr
E = 2.4 kW-hr.
Hence energy consumed by television is 2.4 kW-hr.
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find the surface area of that part of the plane that lies inside the elliptic cylinder
The area of the portion of the plane is 10x+7y+z=4. It is contained within the 15π√150 elliptic cylinder.
What is an unrolled cylinder's surface area?A cylinder has a volume of r2 h and a surface area of r2 h + r2 h.
We are given;
10x + 7y + z = 4
Making z the subject, we have;
z = 4 - 10x - 7y
area of the surface as part of z = f(x, y) is;
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA
z = 4 - 10x - 7y,
∂f/∂x = -10
∂f/∂y = -7
Thus;
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
Using the formula for the general form of an elliptical area,
x²/a² + y²/b² = 1 and comparing with
x²/25 + y²/9 = 1, we have;
a = 5 and b = 3
So, area of elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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A person scuffing her feet on a wool rug on a dry day accumulates a net charge of - 52 μC .A) How many excess electrons does she get, and by how much does her mass increase? ___NB) Change in mass in in kg?
A person scuffing her feet on a wool rug on a dry day accumulates a net charge of - 52 μC. According to the query, the person is walking barefoot on a dry day under a wool rug.
Since the electron affinity of wool is lower than that of the human body, some electrons will be transported from the wool to the wearer's foot.
His feet had acquired a total of -52 micro coulomb of charge.
We are required to determine the overall surplus of excess electrons. A significant quantity of electronic charge is delivered to the body anytime it receives a negative charge.
Consequently, the total charge=number of electrons 1 electronic charge
i.e q=ne
Here, n is the total number of electrons, while e stands for one electron's charge.
we know that [tex]e=-1.602x10^{-19} coulomb[/tex]
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what happens to the sun as it transitions between a main sequence star and a white dwarf?
Simple Answer: The Sun will exhaust the hydrogen fuel in its core and start burning helium.
Explanation:
The sun expands, and it becomes a "Red Giant." During this time, it will engulf the inner planets (Earth, Venus, mercury and mars) After a billion or so years, it would have used all of its remaining helium and would have become have a white dwarf.
Hope this helps :)
if the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance?
The young infant must be seated 1.8 meters away from the pivot point in order to balance the distance.
Permit A to be the firstborn.
A second child should be named B.
the following information:
20.0 kg for A's mass
30.0 kg for B's mass
Distance: 3.00 m
Allow n to represent the distance from the pivot.
Note: The distance between the child and the pivot is equal to
As an example:
clockwise moment equals counterclockwise moment
30(3 - n) = 20n
1.8 meters is equal to 90 - 30n n, or 90/50.
Distance is the overall movement of an object without consideration of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered. Distance is a scalar quantity that describes "how much ground an object has covered" while moving. Displacement is a vector number that describes "how far out of place an object is," and it is the object's overall change in position.
Question :
Two children of mass 20.0 kg and 30.0 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 3.00 m, at what distance from the pivot point is the small child sitting in order to maintain the balance
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a volleyball is spiked so that its incoming velocity of 3.74 m/s is changed to an outgoing velocity of -19.7 m/s. the mass of the volleyball is 0.350 kg. what is the magnitude of the impulse that the player applies to the ball?
The magnitude of an impulse that the player applies is simply the absolute value of this result or 66.57 Ns.
To find the impulse applied to the ball, you can use the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object. The momentum of an object is equal to its mass times its velocity, so the change in momentum of the ball is equal to the difference between its final momentum and its initial momentum.
Plugging in the values given in the problem, we find that the change in momentum of the ball is equal to (-19.7 m/s) - (3.74 m/s) = -23.44 m/s. The mass of the ball is 0.350 kg, so the impulse applied to the ball is equal to the change in momentum divided by the mass, or (-23.44 m/s) / (0.350 kg) = -66.57 Ns. The magnitude of this impulse is simply the absolute value of this result, or 66.57 Ns.
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what is the electron cloud? explain how electrons move within the cloud, their energy, and what the outermost electrons are called.
The electron cloud is a model used to describe the behavior of electrons in an atom. Electrons move around the nucleus in a wave-like motion with a certain amount of energy and the outermost electrons are called valence electrons.
The electron cloud is an abstract concept used to describe the behavior of electrons in an atom. It is the region of space where the probability of finding an electron is highest. Electrons move around the nucleus in a cloud-like shape and occupy the space around the nucleus, rather than being confined to a specific orbit.
Electrons move around the nucleus in a wave-like motion with a certain amount of energy. This energy is related to the orbit of the electron, as electrons in higher energy levels are further away from the nucleus than those in lower energy levels. Electrons can move from one energy level to another by emitting or absorbing energy in the form of a photon.
These electrons determine how an atom interacts with other atoms and are responsible for chemical bonding. Valence electrons are the most easily removed from the atom and are important in determining the reactivity of an element.
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what is the mass, in grams, of solute in 0.175 l of 3.17 ´ 10-2 m kcl?
0.414 g is the mass, in grams, of solute in 0.175 l of 3.17 ´ 10-2 m kcl .
The mass of the solute can be calculated using the formula mass of solute=volume of solution * concentration of solution.
Identify the overall volume of the solution.
Note the mass concentration.
To find the mass of the solute, multiply the volume by the mass concentration of the solution.
The concentration of the solute is expressed in terms of mass or moles. By multiplying the grammes of solute per gramme of solution by 100, the mass percent of a solution can be computed. of the mass Formula.
A substance that has dissolved in a solution is referred to as a solute. Solvents are substances that help solutes dissolve in solutions. The amount of a solute present per litre of a solution is measured in grammes per litre.
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suppose you do 1000 j of work on a 5 kg object, and all the work went into lifting it above the ground. how high above the ground will the object be when all the work has been done? group of answer choices
Answer:
P. E = mgh
when g= 10ms^-1
1000j = 5 × 10 × h
1000j = 50h
h = 1000 ÷ 50
h = 2Om
what mass of nacl (mm = 58.5 g/mol) was present in 100 µl of the pbs solution?
There were 585 gm of nacl (mm = 58.5 g/mol) in the 100 µl of PBS solution.
As per the details given in the above question are as bellow,
The details are as follow,
100 µl contained the mass of Nacl (mm=58.5 g/mol).
Nacl=0.1mM [tex]\left(1 \mathrm{mM}=10^{-3} \mathrm{M}\right)[/tex]
Solving further we get,
[tex]& \Rightarrow 0.1 \times 10^{-3} M=0.1 \times 10^{-3} \frac{\mathrm{mol}}{\mathrm{L}}[/tex]
Now taking the volume,
Volume taken = 100 μL. [tex]\quad\left(1_\mu=10^{-6}\right)[/tex]
[tex]& \Rightarrow 100 \times 10^{-6} \mathrm{~L}=10^{-4} \mathrm{~L} \text {. }[/tex]
Molarity into Volume is the definition of a mole.
[tex]=0.1 \times 10^{-3} \frac{\mathrm{mol}}{\mathrm{L}} \times 10^{-4} \mathrm{~L} \\[/tex]
Further we get,
[tex]& =0.1 \times 10^{-7} \mathrm{~mol} \\[/tex]
We get the mole is,
mole =58.5 g/mol
[tex]& \Rightarrow 0.1 \times 10^{-7} \mathrm{~mol}=58.5 \frac{\mathrm{g}}{\mathrm{m}=1} \times 0.1 \times 10^{-7} \mathrm{m.1}[/tex]
Solving further we get,
[tex]& =0.585 \times 10^{-6} \mathrm{gm}=585 \times 10^{-9} \mathrm{gm} .[/tex]
=585gm
Molarity
A solute's concentration in a solution, specifically the quantity of it per unit volume of solution, is measured by its molar concentration, which is a chemical word. The number of moles per litre, denoted by the unit sign mol/L, is the molarity unit that is most frequently used in chemistry.
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Heeeeelp I am so confuseeeedd
let's just say there's a planet that has 4 satellites
if our Moon rotates from W to E and revolves from W to E around the earth,
then what is the rotating&revolving motions of these 4 moons??
moon 1: rotates from W to E and revolves the opposite way (like Triton)
moon 2: rotates from W to E and revolves from W to E -- the regular moon
moon 3: rotates the opposite way and revolves from W to E
moon 4: rotates the opposite way and revolves the opposite way -- the exact reversed moon
in my memory, moon 3 is making the retrograde motion and moon 2 is making the prograde motion....but suddenly I got so confused about which moon is making the retrograde motion is it moon 1, 3, or 4??? if you figured it out, tell me also about the other moon's motions then I'll pick you as a brainliest
The Moon and Sun, along with all other celestial objects, appear to travel across the sky from east to west as the Earth spins on its axis from west to east.
What is Directions of Moon and earth?The Moon, however, orbits Earth in the same direction as our planet rotates when seen from above. So the Moon does move through our sky from west to east, albeit so slowly that we hardly ever observe it.
But during a total solar eclipse, we can observe the Moon's actual motion as it moves from west to east across the face of the Sun.
The Moon's shadow follows it as it moves in the same direction and creates a path across the surface of the Earth. Because it is tidally locked to our planet, the Moon always seems the same to us from here on Earth.
Therefore, The Moon and Sun, along with all other celestial objects, appear to travel across the sky from east to west as the Earth spins on its axis from west to east.
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which of the following statement is true about electromagnets 1]in these magnets permanent magnet are used 2)these magnets are permanent magnet 3)natural magnet are more powerful than electromagnets 4)these magnet work only when electric current passed through them
The statement that is true about electromagnets is that these magnet work only when electric current passed through them.
Electromagnets are called temporary magnets because they do not show magnetic properties all the time.
They only show the magnetic properties when the current is passing through them.
As soon as the current in the Electromagnet stops they stops behaving like a magnet.
This property of temporary magnetism of the Electromagnet allows the Electromagnet to be used in devices like magnetic locks, MRI machines, headphones and loudspeakers.
Material like Copper, nickel and Cobalt are used to create electromagnets.
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A solid sphere has a radius of 5cm. It is hung from a spring with spring constant 80 N/m and stretches the spring 8cm from its equilibrium position. Find the density of the sphere
The density of the sphere given that it has a radius of 5 cm is 1.25 g/cm³
How do I determine the density of the sphere?We'll begin by obtaining the mass of the sphere. This is shown below:
Spring constant (K) = 80 NExtension (e) = 8 cm = 8 / 100 = 0.08 mForce (F) = Ke = 80 × 0.08 = 6.4 NAcceleration due to gravity (g) = 9.8 m/s²Mass (m) = ?F = mg
Divide both sides by g
m = F / g
m = 6.4 / 9.8
m = 0.653 Kg
m = 0.653 × 1000
m = 653 g
Next, we shall determine the volume of the sphere. Details below:
Radius (r) = 5 cm Pi (π) = 3.14Volume (V) = ?V = 4/3πr³
V = (4/3) × 3.14 × 5³
V = 523 cm³
Finally, we shall determine the density of the sphere. This is illustrated below:
Mass of sphere = 653 gVolume of sphere = 523 cm³ Density of sphere = ?Density = mass / volume
Density of sphere = 653 / 523
Density of sphere = 1.25 g/cm³
Thus, the density of the sphere is 1.25 g/cm³
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what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm.
The required force exerted on the master cylinder of a hydraulic lift to support the weight of a 2500-kg car is 147 Newton.
The hydraulic pressure on both cylinders are the same.
F₁ / A₁ = F₂ / A₂
Where:
F₁ = force on master cylinder
F₂ = force on slave cylinder
A₁ = cross section area of master cylinder
A₂ = cross section area of slave cylinder
In the given problem, the force acted on the slave cylinder is equal to the weight of the car. Hence,
F₂ = 2500 x 9.8 = 24,500 N
A₁ = 1/4 x 3.14 x 1.93² = 2.92 cm²
A₂ = 1/4 x 3.14 x 24.9² = 486.7 cm²
Plug these parameters into the equation:
F₁ / 2.92 = 24,500 / 486.7
F₁ = (24,500 / 486.7) x 2.92 = 147 Newton
Hence, the required force is 147 Newton
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a solenoid of length has turns of wire, and a radius of . what is the self-inductance of the solenoid?
A solenoid of length has turns of wire and a radius of, the self-inductance of the solenoid will be L = (μN²A) / l
The ability of a coil to withstand changes in current within itself is referred to as its self-inductance. An electromagnetic field is produced whenever there is a change in the current that is flowing through a coil. The strength of this field is related to the rate at which the current in the coil is changing.
Therefore, the coil's inductance is
L = (μN^2A) /l
L represents the inductance of the circuit.N represents the total number of turns on the solenoid.A denotes the cross-sectional area of the object.l denotes the overall length of the solenoid.Additionally, for a given current, it won't change because it depends on the current change rather than the current itself.
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check all that are true statements regarding the anatomy and structure of the sympathetic division.
The statements that are true in regards to the anatomy and structure of the sympathetic division are:
Neuron cell bodies are mainly found in the horns of their spinal cord segments.
The sympathetic trunk ganglia house sympathetic ganglionic neuron cell bodies.
The splanchnic nerves are composed of preganglionic sympathetic axons that did not synapse in a sympathetic trunk ganglion.
The nervous system is a highly complex part of an animal that coordinates its actions and sensory information by sending signals to and from various parts of its body. The nervous system detects environmental changes that affect the body and then collaborates with the endocrine system to respond.
Around 550 to 600 million years ago, wormlike organisms developed nervous tissue. It is divided into two parts in vertebrates: the central nervous system (CNS) and the peripheral nervous system (PNS). The CNS is made up of the brain and the spinal cord.
The presence of a special type of cell known as a neuron defines the nervous system at the cellular level. Neurons have unique structures that allow them to send signals to other cells quickly and precisely. They transmit these signals as electrochemical impulses traveling along thin fibers called axons, which can be directly transmitted to neighboring cells via electrical synapses or cause chemicals called neurotransmitters to be released via chemical synapses.
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if in each cycle the refrigerator receives 415 j of heat energy from the reservoir at 270 k , how many joules of heat energy does it deliver to the reservoir at 320 k ?
Heat energy amount 0.99J which refrigerator deliver to the reservoir at 320K.
We know that for refrigerator we need to find the cooling factor. For cooling factor we know that cooling factor is find by the ratio of temperature at different times. Heat energy is released by the refrigerator for making cooling factor as maximum as possible.
Using the formula of cooling factor, we get
=>β = T₂/T₁ -1
where T₂ is temperature after refrigerator lose heat
and T₁ is temperature before lose heat
415=T₂/270 -1
=>415+1 = T₂/270
=>416=T₂/270
=>T₂=416 ˣ 270
=>T₂=112320
Now, we need to find the energy at temperature 320K and at T₂.
So, Heat Energy=1 - 320/112320
=> Heat Energy=(112320-320)/112320
=>Heat Energy=112000/112320
=>Heat Energy=0.99J
Hence, heat energy deliver to the reservoir is 0.99J
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A man weighing 800 Newtons is standing in an elevator. If the elevator rises with an acceleration of 0.5 meters per second2, the force exerted by the elevator on the man will be
answer choices
O 400 N
O 800 N
O1200 N
O 1000 N
Acceleration is equal to velocity (meter/sec)/time (sec). Therefore, (meter/sec)/sec = (meter/sec)/sec is the unit of acceleration. 1200N.
How do you determine an elevator's force?If the elevator is stationary or traveling at a constant speed, N = mg. If the elevator accelerates upward, N = mg + ma. If the elevator has a downward acceleration, N = mg - ma. The perceived weight of the person is greater than the actual weight if the elevator is ascending quickly. if the elevator is descending more quickly.
How do you calculate an object's acceleration as it ascends a ramp?Acceleration on a ramp is equal to the product of gravitational acceleration and the height-to-length ratio of the ramp. Acceleration on a ramp is equal to gravity acceleration times the sine of the ramp angle.
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how much does the energy stored in an inductor change if the current through the inductor is doubled
A doubling current through an inductor causes the energy stored there to vary by a factor of four. There is no expectation that an inductor will lose energy.
Only when necessary does it supply energy to the circuit from its storage. The voltage across the inductor will gradually change if the current is passed through it. In the 1800s, Oersted demonstrated how a conductor carrying current generates a magnetic field all around it. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). A passive two-terminal electrical component known as an inductor, also known as a coil, choke, or reactor, stores energy in a magnetic field as electric current passes through it.
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a car is pushed along a long road that is straight, horizontal, and parallel to the x direction.
The work done on the car by this force will be 11000 J
The work will be shown in the region under the F-x graph. The definition of work is the dot product of the force applied to an item and the displacement caused by that force.
The vertical axis of a force-displacement graph will contain force (in N) and the horizontal axis will have displacement (in m).
The graph's area is equal to F.s.
This amount also indicates the labour put into making the thing.
The overall displacement is represented by the area under the velocity/time curve.
The average velocity is obtained by dividing it by the change in time.
Speed is expressed vectorially as velocity.
The area of the F-x graph is the work
[tex]w=(22 \times 200)+\left(\frac{1}{2} \times 22 \times 3 \times 200\right)[/tex]
w=4400+6600
w=11000 J
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The complete question should be:
A car is pushed along a long road that is straight, horizontal, and parallel to the x direction. The horizontal force on the car varies with x as shown in the figure. What is the work done on the car by this force? (Let a = 200 N.) J
a student late to school recklessly takes a sharp turn with a radius of 4 meters to avoid a red light. if the turn has a period of 8.34 seconds, and the car has a mass of 1500 kg: a) find the centripetal force ( 3405 n) b) find the coefficient of friction between the car and the road. (0.231)
Upon calculation the value of centripetal force in this question is found to be 3399.79 N
The value of coefficient of friction is calculated to be 0.231.
This question can be solved using the concepts of friction and circular motion.
a) Centripetal force is the force acting on an object traveling in a circle that is directed inward toward the center of the circle. Centrifugal force is the force that acts in the opposing direction and points away from the point of rotation. The centrifugal and centripetal forces acting on a rotating body have equal magnitude but opposing directions.
Time period T=[tex]\frac{2\pi r}{v}[/tex]
v= velocity of object
r= radius of circular path
which means [tex]v=\frac{2\pi r}{T}[/tex]
On putting the values r=4, T=8.34 and solving
v=3.011 m/s
Now as we know the centripetal force is given by [tex]\frac{mv^{2} }{r}[/tex]
[tex]F_{c} =\frac{mv^{2} }{r}[/tex]
m= mass of the object
v= velocity of the object
r= radius of the circular path
Putting v= 3.011m/s, r=4m, m=1500 kg in the formula for centripetal force
we get [tex]F_{c} =3399.79 N\\[/tex]
b) Coefficient of friction-The coefficient of friction, which is equal to the ratio between the maximum frictional force that the surface exerts and the force pushing the object toward the surface, is a measurement of the degree of frictional force that a surface exerts on any substances moving over it. It depends on the material of the object.
The formula for coefficient of friction for circular motion is given by:
μ=[tex]\frac{v^{2} }{rg}[/tex]
μ= coefficient of friction
r= radius of circular path
g= acceleration due to gravity
v= velocity of object
Putting v= 3.011 m/s , r=4meter, g= 9.8ms⁻² and solving
The value of coefficient of friction can be calculated to be 0.231
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a man is pushing a box of mass of 80 kg with a force of 180 n, the box accelerates at 1.80 m/s2. what is the magnitude of friction? brainly
The magnitude of the friction force on the box is 36N.
The force applied by the man to push the box of mass 80kg is 180N.
the acceleration of the block is 1.80m/s².
Now, we know,
Acceleration = Net force/mass
A = F/M
Now, the net force will be applied force minus frictional force.
So, if the frictional force is Fr and the applied force is F, then we can write,
a = F-Fr/M
Putting values,
1.80 = 180-Fr/80
Fr = 36N.
So, the frictional force is 36N in magnitude.
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A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the magnitude of the boat’s acceleration while it travels the 12.0 m?a. 1.3 m/s2b. 2.5 m/s2c. 3.0 m/s2d. 7.5 m/s2
b. -2.5 [tex]ms^{-2}[/tex] is the magnitude of the acceleration of the boat when it travels 12 m.
We can find the acceleration using ,
[tex]v^{2} -u^{2} = 2as[/tex],
Where,
v ⇒final velocity,
u ⇒initial velocity,
a ⇒acceleration,
s ⇒distance covered.
Initial velocity(u)= 9.5 [tex]ms^{-1}[/tex]
final velocity (v)= 5.5 [tex]ms^{-1}[/tex]
Distance (s) = 12 m
Putting the values we get,
[tex]v^{2} -u^{2} = 2as[/tex]
a =[tex]\frac{v^{2} -u^{2}}{2s}[/tex]
a= [tex]\frac{(5.5)^{2} -(9.5)^{2}}{(2)(12)}[/tex]
a=[tex]\frac{30.25 -90.25}{(24)}[/tex]
a=[tex]\frac{-60}{2000}[/tex]
a= -2.5
(It is negative acceleration since it has a negative sign. )
Hence, the magnitude of the acceleration of the boat is -2.5 [tex]ms^{-2}[/tex]
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you are camping in the breathtaking mountains if colorado. you spy an unopened diet soda can floating motionless below the surface of a lake. what is the direction and amount of force the water exerts on it?
The direction and amount of force the water exerts on it is equivalent to the weight of the can up.
A floating object moves a weight of fluid equal to its own weight when it displaces a weight of water equal to its own weight. According to Archimedes' principle, the buoyant force and the fluid displacement's weight are equivalent.
The upthrust in the water matches the weight of the body in the water it floats, where upthrust is the upward vertical force applied on an item in fluid.
Hence the buoyancy principle is used when the can is floating below the lake's surface. Water will be pushing upward with a force equal to the weight of the can.
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if the plane is flying horizontally and suddenly pulls upward, in which direction does the nose of the plane tend to move?
a. the nose of plane would veer upward
b. the nose of plane would veer to the left
c. the nose of plane would veer downward
d. the nose of plane would veer to the night
If the plane is flying horizontally and suddenly pulls upward, the nose of the plane tends to move upwards as the tail moves downwards.
A plane (formally an airplane) is a fixed-wing aircraft that is propelled forward by the thrust of a jet engine, propeller, or rocket engine.
All flight controls use the same basic lift principles as wings. When the pilot moves the controls, they produce lift of nose either up or down.
When the pilot pulls on the control column, the elevator moves up. This creates a wing-like curve on the surface that pulls the tail down. By moving the tail down, the nose of the aircraft rises.
When the pilot pushes forward on the controls, the elevator points down. The opposite happens and there is a lift that pulls the tail up. Pulling the tail up causes the nose of the plane to drop down.
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suppose 100 g of water does 419 j of work on a system. assuming no leakage of energy, what will the resulting change in water temperature be?
The resulting change in water temperature be in order to gain 419 J of energy is 1000 degrees Celsius.
The heat capacity of water is 4.186 J/gC.
Now, it is given that, 100 grams of water is heated and the change in heat of water is 419J.
We are aware that the compound's change in heat is represented by the formula,
Q = MC∆T
The heat or energy gained, and Q
water has a heat capability of C.
T is the overall change in water's temperature.
Setting values in the aforementioned relation appropriately
419 = 0.1 x 4.186 x T
T = 1000 Degrees Celsius.
Therefore, the resulting change in temperature of water is 1000 Degrees Celsius.
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