Beating a magnet on an object is not a method of making magnets. The correct option to this question is B.
What are methods to prepare magnet?Paper-clip Note Magnet
Making a magnet out of a paper clip is the simplest method.
Collect goods: A small piece of metal can be used to create a quick temporary magnet, like a paper clip or a refrigerator magnet.
The induction approach entails merely bringing the magnetic material (soft iron) close to a powerful magnet without making contact.
Magnet using the electro magnetic approach in an image
Utilizing transmitters, electromagnetic (EM) techniques produce powerful, time-varying main magnetic fields that cause electrical currents to flow through conductive rocks.
Instead of moving it back and forth in the same direction, rub the paperclip magnet against the object. To fire a game, make the same swift action.
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9. A machine can't be 100% efficient because
AMachines always experience some non-conservative interactions
BMachines turn potential energy into Kinetic Energy
C Machines always conserve energy, they are always 100% effecient
Answer:
answer a
Explanation:
while any machine is working, there are some forces (f.e. friction) that are still calculating.
Good luck
a wheel and axle on a bicycle are designed with an axle radius of 0.125 meters and a wheel radius of 0.5 meters. if a force of 800 newtons is applied to the axle, what is the maximum output force of the bike wheel?(1 point)
The maximum output force of the bike wheel is equal to 40000 newtons.
The maximum output force of the bike wheel is calculated by using the equation:
F = R^2 * P, where F is the force exerted by the wheel on the axle, R is the radius of the axle, and P is the applied force. So we have: 800 N = (0.125 m)^2 * (800 N)
Rearranging gives us: 2 * R^2 = 800 N
Solving for R gives us: 0.5 m = 40000 N/m^2
This means that we must have a radius of 0.5 meters to produce an output force of 40000 newtons.
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100 POINTS!! 1. Calculate the current flowing when:
(A) 75 mC pass a point in I min;
(B) 0.5 GC pass a point in 2 hours;
(C) 2.0 MC pass a point in 1000 hours.
2. Calculate the charge flow when the current flow is:
(A) 6.0 A for 5 min;
(B) 250 mA for 4 hours;
(C) 2.5 KA for 50 s.
3. How long does it take for the following to pass a point in the circuit?
(A) 25 MC at a current of 25 mA;
(B) 48 C at a current of 12 A;
(C) 360 C at a current of 4.0 A.
4. A current of 10 cA flows through a resistor of resistance 4.0 ohms
Find the:
(a) P.d across the resistor;
(b) Total charge flow in 3 minutes;
Current ( I ) = charge(Q) * time(t)
(A) I = 75/1000 * 1*60 = 4.5A
(B) I = 0.5*10^9 * 2*60*60 = 3.6*10^12 A
(C) I = 2*10^-6*1000*60*60 =0.55 A
2) Q = I/t
( A) Q = 6/5*60 = 0.02 C
( B) Q = 250*1000/ 4*60*60 = 17.36 C
( C) Q = 2.5/1000*50 = 5*10^-5 C
3 ) t = I/C
(A) t =25*1000/ 25*10^-6 = 1*10^9 s
(B) t = 12/48 = 0.25 s
(C) t = 4/360 = 0.011 s
4 )
( A) P . d = current * resistance = 10/100 * 4= 0.4V
( B) charge = 10*10^-2/3*60 = 5.55*10^-4 C
What is charge ?
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.
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you are moving toward a stationary observer in your spaceship at 0.5c while shining a light toward the stationary observer. at what speed does the stationary observer measure the light from your spaceship?
The stationary bystander measures the light coming from your spaceship at the speed of light.
What it refers to is speed. the rate at which the position of an object shifts in any direction. Speed is defined as the rate of the distance traveled to the time needed to cover that distance. Speed is a scalar volume since it just has a direction and no magnitude.
Light is a type of electromagnetic radiation that helps the mortal eye see or makes effects visible. The term" radiation that's visible to the mortal eye" can also be used to describe it. Photons, which are bitsy energy packets, are present in light.
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an automobile with a mass of 1325 kg has 3.02 m between the front and rear axles. its center of gravity is located 1.78 m behind the front axle. the automobile is on level ground. (a) determine the magnitude of the force from the ground on each front wheel (assuming equal forces on the front wheels). 2665.79 correct: your answer is correct. n (b) determine the magnitude of the force from the ground on each rear wheel (assuming equal forces on the rear wheels).
The magnitude of the force from the ground on each front wheel is 2775N.
Let us call the force on the front axle F and the force on the rear axle R.
We know that
⇒ F + R= total weight of vehicle = 1360 * 9.80 = 13328 Newtons
And using torques, you know that force on the front axle * distance to the center of mass = force on the rear axle * distance to the center
of mass
or F *1.78 = R * (3.05 - 1.78)
So
1.4016F = R
Then.
F + 1.4016 F = 13328
F = 5550 N and R = 13328 - 5550 = 7778N
So the force on each front tire is 5550 /2 = 2775N
And the force on each rear tire is 7778 /2 = 3889N
Force is a push or pulls upon an item because of the object's interaction with some other object. Pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
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At rest, a car's horn has a frequency of 395 Hz. Car A passes car B on the street in the same direction. If car A is traveling at 22.0 m/s and car B is traveling at 19.5 m/s, what frequency does car B hear when car A honks? (speed of sound =343 m/s) (Unit=Hz) please help I'll give 100 points
Car A's frequency is determined to be 398.4 Hz.
What is the frequency heard by car A?The frequency heard by car A is calculated using the following equation.
f = fs(v - v₀) / (v - vs)
where;
v is the speed of sound = 343 m/s
v₀ is the speed car B = 19.2 m/s
vs is the speed of car A = 22 m/s
fs is the frequency of car A = 395 Hz
f is the frequency of car B = ?
f = 395(343 - 19.2) / (343 - 22)
The frequency will be calculated as below,
f = 395(1.0087)
f = 398.4 Hz
Therefore, car A's frequency is determined to be 398.4 Hz.
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4. how can we change the speed of waves in a string? a) by changing the supplied frequency b) by changing the string tension. c) by changing the size (gauge) of the string d) either b) or c) will do
We change the speed of waves in a string option a. by changing the supplied frequency.
Increasing the tension on a string increases the rate of a wave, which increases the frequency (for a given length). Urgent the finger at exceptional places adjustments the period of string, which changes the wavelength of the status wave, affecting the frequency.
The speed of a wave on a string depends on the rectangular root of the anxiety divided through the mass per length, the linear density. In standard, the velocity of a wave via a medium relies upon the elastic assets of the medium and the inertial assets of the medium.
While the length of a string is modified, it'll vibrate with a one-of-a-kind frequency. Shorter strings have better frequency and therefore better pitch.
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What single color of light illuminating a ripe banana will make it appear black?.
The single color of light illuminating a ripe banana will make it appear black will be blue light.
When lit with blue light, ripe bananas appear black. Yellow is a combination of red and green, so if blue light is flashed onto a yellow banana, the fruit will absorb the blue light, leaving nothing for the banana to reflect. The banana seems black to the eyes because there is nothing for them to reflect back to them. So, when viewed with blue light, a ripe banana appears black.
A red shirt would seem black if only blue light were shined on it because no red light would be there to reflect the blue light, which would otherwise absorb it. Ripe bananas adhere to the same standard and also white objects, which seem white because they reflect all colors.
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what is one major difference between federal and unitary governments
Answer:
In a unit government, all the powers of government are moved around in the central government where in turn in a federal government, the powers of government are divided between the center and the units.
Explanation:
I hope this helps.
1.8-kg copper block is given an initial speed of 3.1 m/s on a rough horizontal surface. because of friction, the block finally comes to rest. (a) if the block absorbs 85% of its initial kinetic energy as internal energy, calculate its increase in temperature.
Therefore, U equal to cV T represents the change in internal energy for an ideal gas, where cV stands for specific heat (at constant volume) and T for change in temperature.
Calculate its increase in temperature ?Increase in temperature is 0.0176 degree Celsius. b. the remaining energy will be lost.
The mass of copper block = 1.8kg
Initial speed = 3.1 m/s
Specific heat of copper = 0.385 j/g degree Celcius.
a. The increase in temperature is calculated below:
Change i kenetic energy = 1/2mv²
= 1/2 *1.8*4²= 14.4J
85% of energy is converted into internal energy.
mc =14.4*0.85
1.8*385 = 14.4*0.85
12.24/693
=0.0176
The remaining 15 per cent of kinetic energy will be lost and it will be changed into other forms.
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a 1.92 kg object on a frictionless horizontal track is attached to the end of a horizontal spring whose force constant is 4.77 n/m. the object is displaced 5.31 m to the right from its equilibrium position and then released, which initiates simple harmonic motion. what is the magnitude of the force acting on the object 3.72 s after it is released? answer in units of n.
The magnitude of the force acting on the object of mass 1.92 kg, 3.72 s after it is released is 23.414 N in negative direction.
ω = √ ( k / m )
ω = Angular frequency
k = Force constant
m = Mass
k = 4.77 N / m
m = 1.92 kg
ω = √ 4.77 / 1.92
ω = √ 2.48
ω = 1.58 rad / s
F ( t ) = - m d ω² cos ω t
F ( t ) = Force wrt time
d = Displacement
t = Time
t = 3.72 s
d = 5.31 m
F ( 3.72 ) = - 1.92 * 5.31 * 1.58² cos ( 1.58 * 3.72 )
F ( 3.72 ) = - 25.45 cos 5.88
F ( 3.72 ) = - 23.414 N
Therefore, the magnitude of the force acting on the object is 23.414 N in negative direction.
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which person below discovered that the orbits of planets are ellipses? which person below discovered that the orbits of planets are ellipses? copernicus ptolemy tycho brahe kepler galileo
The scientist that discovered that the orbit of planets are ellipses is johannes Kepler. That is option E.
What is elliptical planet?Elliptical planets are those planets that are not round in shape but are ellipses which is the shape of a circle that has been stretched in one direction as seen with oval shape.
The scientist johannes Kepler, who is also a mathematician discovered that orbits of planets are elliptic in shape through his work on planet orbits.
He successfully proved this through his three laws of planetary motion that include the following:
The first law: The planets move in elliptical orbits with the Sun at one focus.The second law: The time necessary to traverse any arc of a planetary orbit is proportional to the area of the sector between the central body and that arcThe third law: There is an exact relationship between the squares of the planets’ periodic times and the cubes of their mean distances from the Sun.Learn more about planets here:
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a plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive direction of an x axis. the electric field, of amplitude 300 v/m, oscillates parallel to the y axis. what are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) what is the amplitude of the magnetic field component? (e) parallel to which axis does the magnetic field oscillate? (f) what is the time-averaged rate of energy flow in watts per square meter associated with this wave? the wave uniformly illuminates a surface of area 2.0 m2. if the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure on the surface?
Since, we know that magnetic field is always perpendicular to the z axis or electric field.
Calculation:-
lambda = 2.8m
v = 3*10^8m/s
v = f(lambda)
(a) f = 1.07*10^8hz
(b)angular frequency = 2pif
= 6.72*10^8rad/s
(c) wave number = 2pi/lambda
= 2.24
(d) B=E/c
= 300/(3*10^8)
=10^-6Tesla
(e) Magnetic discipline is perpendicular to wave propagation and electric powered subject
The magnetic discipline is perpendicular to the z-axis.
Electromagnetic waves are non-mechanical waves. Electromagnetic waves do no longer require a medium to propagate and may without problems pass via a vacuum. Electromagnetic waves propagate in all guidelines from the source of interference. The wave will keep transferring till something interrupts it. Electromagnetic waves vary from mechanical waves in that they do no longer require a medium for propagation.
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q2: if a system contains 2 objects, is there a possibility that the momentum of one object is not conserved?
Yes, there a possibility that the momentum of one object is not conserved.
In a two-body collision, is momentum always conserved?Newton's third law suggests that momentum is always conserved in collisions between two isolated objects. In collisions, it is believed that the interaction between the colliding items lasts for a brief period of time, making the impulse caused by outside forces insignificant.
For the momentum to be conserved, a system must satisfy two conditions:
Throughout the interaction, the system's mass must remain constant.
The system must be subject to zero net external force.
Momentum does not always change and is not conserved because the collision is automatically conserved when the kinetic energy is. The amount of momentum needed when there is a change in speed during a collision remains constant.
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as an object falls freely, the kinetic energy of the object * 0/1 a) decreases b) increases c) remains the same d) doubles
The kinetic energy of an object increases as it falls freely.
Potential energy is transformed into kinetic energy when an object falls freely, and kinetic energy is transformed into heat and sound energy upon impact with the ground.
Following completion of the work, energy is transferred to the object, which further moves at a new, constant speed. The sort of energy that is transferred, kinetic energy, is based on the mass and speed obtained. Kinetic energy is a form of energy that can be transformed into other forms of energy and moved between objects.
When something falls, gravity is the cause of the fall. That object experiences a force, which causes it to accelerate, increasing its fall velocity. Gravitational force—the force the Earth exerts on objects—is a type of acceleration. Everything feels the exact same amount of pull from Earth.
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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.
Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. The way the light that passes through the second filter compared to the light that passed through the first filter is that all of the light will pass through both polarizers.
What is a polarizer?A polarizer, also known as a polariser, is an optical filter that allows light waves of one polarization to pass while blocking light waves of other polarizations. It may convert an undefined or mixed polarization light beam into a polarized light beam by filtering it.
Calcite, a naturally occurring mineral, is used to make the majority of birefringent polarizers. Calcite is common in polycrystalline form, but optical-grade calcite is scarce, making birefringent polarizers more expensive than most other varieties.
Remember that polarising filters can lower the amount of light reaching your camera's sensor by up to two or three f-stops, so avoid using them in low-light settings. This includes photography during blue hour, at night, and when capturing the Aurora Borealis.
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an athlete runs with velocity 12 km/h12 km/h for 55 minutes, 14 km/h14 km/h for the next 22 minutes, and 19 km/h19 km/h for other 66 minutes. compute the total distance traveled. (use decimal notation. give your answer to two decimal places.)
Total distance travelled by the athlete is 37.03km as it is calculated by the expression of distance in terms of speed and time.
Velocity is the distance travelled by a moving body per unit time . Distance travelled is the speed unit time.here an athlete runs with velocity 12 km/hr in 55 min, 14 km/hr in next 22 min and 19 km/hr for the next 66 min.
55min= 55/60hr ,
22min=22/60hr ,
66 min= 66/60 hr.
Distance= speed . time
Putting these in the expression
Total speed= 55/60 hr..12 km +22/60 hr. .14 km/hr + 66/60hr . 19 km/hr.
= 37.03 km
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Which two measurements are needed in order to calculate the speed of an object in motion?.
The two measurements, which are needed in order to calculate the speed of an object in motion, be: amount of distance travelled at a particular time interval and the time interval.
What is speed?Speed is characterised as the rate at which an object's position changes in any direction.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. SI unit of speed be meter/second.
The equation provides the speed formula: s = d/t
Where,
the speed in m.s^-1 is s.
The distance in m is represented by d.
The time interval in s is t.
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What is the name of the object to which the electric current flows from the battery toward (and then back to)?
Answer: Electrical Conductors
Explanation: Electrical conductors allow electric current to flow easily because of the make up of their atoms. In a conductor, the outer electrons of the atom are loosely bound and can freely move through the material when an electric charge is applied. In general, the best electrical conductors are metals.
an iron skillet weighing kg is heated on a stove to . suppose the skillet is cooled to room temperature, . how much heat energy (in joules) must be removed to affect this cooling? the specific heat of iron is
When the iron skillet cools from 178°C to 21°C, the quantity of heat lost is given by.
ΔQ = SmΔT = (0.449 J/°Cg) (1280 g)Δ(21 °C - 178 °C)
= -90231.04 J = -90.231 kJ
The specific heat capacity of a substance is equal to the heat capacity of a specimen of the element divided by the mass of sample.
Also known as specific heat, this is the quantity of energy required to increase a substance's temperature by one degree Celsius in one gram. The units of specific heat are typically calories or joules per gram per degree Celsius. As an illustration, the specific heat of water is 1 calorie (4.186 joules) per gram per degree Celsius.
Between systems or objects with various temperatures, energy is transmitted in the form of heat (flowing from the high-temperature system to the low-temperature system). Likewise called thermal energy or heat energy. The usual units for measuring heat are Btu, calories, or joules.
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A plane starting at rest at the south end of a runway undergoes a uniform acceleration of 1.60 m/s to the north. At takeoff, the plane's velocity is 72.0 m/s to the north. How far does the plane travel across the runway
The distance travelled by the plane across the runway is determined as 1,620 m.
What is the distance travelled by the plane across the runway?The distance travelled by the plane across the runway is calculated by applying the following equation.
v² = u² + 2as
where;
v is the final velocity of the planeu is the initial velocity of the planea is the acceleration of the planes is the distance travelled by the planeThe initial velocity of the plane, u = 0, since it started from rest.
v² = 0 + 2as
s = v²/2a
The given parameters;
acceleration of the plane, a = 1.6 m/s²final velocity of the plane = 72 m/ss = (72²)/(2 x 1.6)
s = 1,620 m
Thus, the distance travelled by the plane along or across the runway depends on the final velocity of the plane and the acceleration of the plane.
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enceladus is an icy moon of saturn experiencing tidal forces because of an elliptical orbit due to an orbital resonance with another moon dione. what are the consequences of tidal heating of enceladus because of this elliptical orbit?
The main consequence of tidal heating on Enceladus because of this elliptical orbit is that it occasionally brings the moon closer to Saturn and occasionally farther away.
When Dione, a bigger moon, orbits Saturn once, Enceladus orbits twice. Enceladus' orbit is made elliptical by Dione's gravity. This causes tidal heating inside the moon, and the following effects also:
The extremely hot geysers on the Enceladus moon, which shoot water into space, are caused by this.The "tiger stripes" in Enceladus' south pole, which are active fissures, are where the particles are released.The presence of salt in the plumes suggests that the frozen shell may be hiding an ocean of liquid water.But the ultimate cause of the geological activity on this moon had remained a mystery. Instead of a circular orbit, Enceladus orbits Saturn in an elliptical distortion. Saturn's gravity pulls and squeezes the moon as a result, heating its innards and allowing geological activity on the frozen moon.
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suppose a 0.45-kg mass on a spring-loaded gun that has been compressed 0.10 m has elastic potential energy of 1.50 j. how high above the spring's equilibrium point can the gun fire the mass if the gun is fired straight up?
Height above which the spring's equilibrium point can the gun fire the mass if the gun is fired straight up is 0.34m.
What is law of conservation of energy?The law of conservation of energy is that energy can neither be created nor destroyed. Energy changes from one form of to another form.
Using the law of conservation of energy.
Em₀ = 1.5 J
Higher.
Em1 = U
= m g h
As there is no friction, then the mechanical energy is conserved
Hence, Em₀ = Em1
Em₀ = m g h
therefore, h = Em₀ / m g
h = 1.5 / 0.45 * 9.8
Hence, h = 0.34 m
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what is the rotational inertia of a solid iron disk of mass 41.0 kg with a thickness of 5.00 cm and radius of 30.0 cm, about an axis perpendicular to the disk and passing through its center?
Answer:
I = 1/2 M R^2 moment of inertia of solid disk
I = 1/2 * 41.0 kg * (.3 m)^2
I = 20.5 kg * .09 m^2 = 1.85 kg-m^2
a rigid , massless rod of length l, has a point paricle of mass m located at one of its endpoints. the system can freely rotate about a pivot point located at another end where gravity is considered. find the hamiltonian
The Hamiltonian of massless rod which has a point paricle at one of its ends, is Acos(ω0 t) + Bsin(ω0 t).
How to find Hamiltonian ?The Hamiltonian of a system in quantum mechanics is an operator that corresponds to the system's total energy, which includes both kinetic energy and potential energy.
It may be demonstrated that H = T + V, where T is the kinetic energy and V is the potential energy of the system—i.e., the Hamiltonian is equal to the total energy of the system—if the constraints in the issue do not depend explicitly on time.
Choose a coordinate system such that kˆ is pointing upwards
then the angular acceleration is given by
α = d^2 *θ /dt^2 * k
The torque about the center of mass is given in the statement of the problem as a restoring torque, therefore
τcm = −bθ kˆ .
The z-component of the rotational equation of motion is
−bθ = Icm * d^2 *θ / dt^2 .
This is a simple harmonic oscillator equation with solution is
θ(t) = Acos(ω0 t) + Bsin(ω0 t)
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nazi made the biggest gun, schwerer gustav. it weighed 1500 metric ton. when it shot out a projectile of 5 metric ton, it recoiled with 2.6 m/s. find the projectile speed.
the speed of the projectile is 780m/s.
given in this question,
mass of the gun m₁ =1500metric tun
as we know 1ton= 1000kg
so m₁=1,500,000kg
mass of projectile m₂= 5ton =5000kg
for solving this problem we will use the concept of conservation of momentum.
which is [tex]P_{initial}[/tex]=[tex]P_{final}[/tex]
[tex]P_{initial}[/tex]=0
and [tex]P_{final}[/tex]=m₁v₁+m₂v₂
∵v₁=2.6m/s
now by the conservation of momentum
[tex]P_{i}[/tex]=[tex]P_{f}[/tex]
0=1,500,000×2.6+5000×v₂
v₂=-1500000×2.6/5000
v₂= -780m/s
hence the value of the velocity negative is not possible
negative sign is showing direction of projectile.
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two skaters, each of mass 50 kg, approach each other along parallel paths separated by 3.0 m. they have opposite velocities of 1.4 m/s each. one skater carries one end of a long pole of negligible mass, and the other skater grabs the other end as she passes. the skaters then rotate around the center of the pole. assume that the friction between skates and ice is negligible. what are (a) the radius of the circle, (b) the angular speed of the skaters, and (c) the kinetic energy of the two-skater system? next, the skat
The angular speed of the skaters is 0.7rad/s and the kinetic energy of the two-skater system is 98 J.
Kinetic energy = m[tex]v^{2}[/tex] = 98J
Angular speed = 0.7 rad/s
A force needs to be applied if we want to accelerate an object. We must use effort to apply a force. The object will be moving at a new constant speed once the operation is finished and energy has been transferred to it. Kinetic energy, which is the energy that is transferred and is based on the mass and speed attained, is what causes motion.
It is possible for kinetic energy to move from one item to another and change into other types of energy. An encounter between a flying squirrel and a chipmunk, for instance, might occur. Some of the squirrel's initial kinetic energy may have been passed to the chipmunk after the collision, or it may have been converted to another kind of energy.
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for an elastic collision, why do the carts start interacting even though they never physically touch?
An example of a collision without physical contact is a charged particle being deflected by another charged particle as they travel by one another.
Another illustration is a gravitational slingshot, in which a light object moves around a much heavier object to accelerate. A collision does not require the objects to actually touch; for instance, an asteroid passing by the earth is seen as one since its course is altered by the gravitational pull of the planet. The conservation of momentum and energy can still be used to assess the collision. Yes, even without direct touch, an accident may still occur.
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what is the total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward?
The total upward, vertical force on the liquid due to its surface tension as the ring is pulled upward is 2π (r inner + router ) × r cos θ.
Surface tension is the tendency of liquid surfaces at relaxation to shrink into the minimal surface area viable. floor anxiety is what permits gadgets with a better density than water consisting of razor blades and bugs to go with the flow on a water surface without turning even partly submerged.
Surface tension arises because of cohesive interactions between the molecules within the liquid. At the bulk of the liquid, the molecules have neighboring molecules on each facet. Molecules are pulling each other equally in all directions inflicting an internet force of zero.
Calculation:-
Upward force = length of contact × r cos θ
= 2π (r inner + router ) × r cos θ
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3. (a) calculate the work done on a 1500-kg elevator car by its cable to lift it 40.0 m at constant speed, assuming friction averages 100 n. (b) what is the work done on the elevator car by the gravitational force in this process? (c) what is the total work done on the elevator car?
(a) Work done on the car by its cable will be 5.92 * [tex]10^{5}[/tex] J.
(b) Work done on the car by the gravitational force will be -5.92 * [tex]10^{5}[/tex] J.
(c) Total work done on the car will be 0 J.
Work done is the product of force and displacement.
Mathematically, Work-done = W = Force * DistanceMass of the car = m = 1500 kg
Distance lifted by the cable = d = 40 m
Frictional force experienced by the car = Fs = 100 N
(a) According to the Newton's second law of motion
F = Fcable - mg - Fs = ma
Fcable = mg + Fs
Work done by the same force = W1
W1 = Fcable * d
W1 = (mg + Fs) * d
W1 = (1500*9.8 + 100) * 40
W1 = 592600
W1 = 5.92 * [tex]10^{5}[/tex] J
(b) Work done by the gravitational force = W2 = mg * d
W2 = 1500*(-9.8)*40
Since the acceleration is acting downwards 'g' will be considered with a negative sign.
W2 = -5.88 * [tex]10^{5}[/tex] J
(c) The total work done on the lift is the work done by the net force exerted on the car during this process:
W3 = Fnet * d
Fnet = -5.88 * [tex]10^{5}[/tex] J + 5.92 * [tex]10^{5}[/tex] J
Fnet = 0
W3 = 0 * 40
W3 = 0 J
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