The radius of the curve is 80 m when its centripetal force is 7500 N.
Given Information:
Mass of the Car (m) = 1500 kg
The velocity of the Car (v) = 20 m/s
Centripetal Force (F) = 7500 N.
Now, Centripetal Force is given by,
[tex]F = \frac{mv^{2} }{r}[/tex]
Putting all these values in the formula for centripetal force,
[tex]7500 = \frac{1500*20^{2} }{R}[/tex]
[tex]R = \frac{1500 * 400}{7500} = 80[/tex]
Hence, the radius of the curve is 80 m.
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A 0.25 kg baseball is headed towards the batter with a speed of 40 m/s in the positive direction. After being batted the ball heads in the opposite direction with a speed of 50 m/s. If the ball was in contact with the bat for 0.017 seconds, what was the magnitude and direction of the force acting on the ball? Express you answer rounded to the nearest 10th.
The Magnitude of ball is = 1.3 K-N.
The direction of the ball is = -1.3 K-N , here negative sign indicates the opposite direction.
m=0.025 kg
Impulse(p)=change in momentum
Vf = -50
Vi = 40
P = m(Vf-Vi)
P =0.25(-50-40)
p = -22.5 N-sec
Average force (F) = impulse/time
F = -22.5/0.017
F = - 1.3*10^3 N
or
F = - 1.3 K-N
The magnitude of the ball is = 1.3 K-N
The direction of ball is = -1.3 K-N , here negitive sign indicates the opposite direction.
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How do you find kinetic energy with mass and speed in physics?.
The kinetic energy with mass and speed in physics K.E. = 1/2 m v².
If the mass is in kilograms and the velocity is in meters/second, then the kinetic energy is in kilograms - meters squared/second. Kinetic energy is proportional to the square of velocity, so doubling velocity quadruples kinetic energy. The energy transferred is called kinetic energy and depends on the mass and velocity achieved.
Kinetic energy is transferred between bodies and converted into other types of energy. Equations of motion are a set of equations that describe the motion of an object with constant acceleration. Equations of motion require knowledge of derivatives rates of change and integrals.
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calculate the ratio of the resistance of 15.0 m of aluminum wire 2.2 mm in diameter, to 23.0 m of copper wire 2.0 mm in diameter.
The ratio of the resistance was found to be 0.85013
Define resistance?
Resistance is a measure of the resistance to current flow in an electrical circuit.
The Greek letter omega () represents resistance in ohms. Ohms are named after Georg Simon Ohm (1784-1854), a German scientist who researched the link between voltage, current, and resistance. Ohm's Law is attributed to him.
the formula for calculating the resistance was R= ρ 1/s
ρal=2.65(10)^-8 mΩ
ρcu= 1.68(10)^-8mΩ
l al=15.0 m
l cu= 23.0 m
s= π(d/2)^2
d= diameter
dal=2.2mm=0.0022m
dcu= 2.0mm=0.0020m
for aluminum
Sal= π(0.0022/2)^2
=3.14(0.0022/2)^2
=3.14(0.0011)^2
=3.14(0.00000121)
=0.0000037994
for copper
scu= π(0.0020/2)^2
=3.14(0.000001)
=0.00000314
resistance of aluminum
Ral=2.65(10)^-8mΩ x 15/0.0000037994
=2.65(10)^-8 x 15/3.7994
=0.001046
resistance of copper
Rcu= 1.68(10)^-8mΩ x 23/0.00000314
=1.68(10)^-8x 7.324
=0.0012304
The ratio of the resistance = 0.001046/0.0012304
=0.85013
therefore the final ratio of the wires was = 0.85013
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A golfer is teeing off a 160.0 m long par-3 hole. the ball leaves with a velocity of 40.0 m/s at 50.0° to the horizontal. assuming that she hits the ball on a direct path to the hole, how far from the hole will the ball land (no bounces or rolls)?
The distance the land near hole is -0.6
As we know that the golfer hits the ball with a speed of 40 m/s at an angle of 50 degrees
so here we will have the range of the ball on the ground given as
R = v² sin2∅/g
so we will have
[tex]R =\frac{40^{2}sin(2*50) }{9.81}[/tex]
R = 160.6
So it will land at a distance of 160.6 m
so the distance from the hole is given as:
d = 160 -160.6
d = -0.6
To calculate the horizontal distance as the projectile travels Multiply the vertical height h by 2 and divide by the acceleration due to gravity g. Take the square root of the result from step 1 and multiply it by the initial projection velocity u to get the horizontal distance.
The maximum horizontal distance a baseball travels is the horizontal distance a baseball travels when returning to its initial height. An example of horizontal distance is the distance from an observer to a building, and an example of vertical distance is the height of a building. Players are given a reasonable amount of time to reach the hole and must wait an additional 10 seconds for the ball to fall into the hole. If the ball falls into the hole during this waiting time.
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two objects are sliding at the same speed across a wooden surface. the coefficient of kinetic friction between the first object and the surface is twice that between the second object and the surface. the distance traveled by the first object before it stops is s. the distance traveled by the second object is .
When it is given that the distance traveled by the first object before it stops is S, then the distance traveled by the second object is 2S.
What do you understand by coefficient of kinetic friction?The ratio of the friction force to the normal force experienced by a body moving on a dry and non-smooth surface is said as the kinetic friction coefficient, μk.
Under the high velocity conditions, kinetic friction coefficient increases with the velocity. And as velocity increases so the distance also increases.
The kinetic friction formula is given as normal × friction coefficient. So, if force is increased then the normal force is not changed, due to which the friction remains constant.
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What is the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min?.
Using the concepts of work, we got that 7000 joules is the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min.
We know very well that if we want to move any object by a certain distance then we need to do some work so that it can moves against the frictional force.
We have
The mass of an object = 100 kg
But, Force = mass × g (taking g as 10 N/kg)
Then, Force = 1000 N
Assuming we are given the distance moved by the object as 7 m
We can calculate the work done by the force
We need to know that;
Work done = Force × distance
Therefore;
Work done = 1000 N × 7 m
= 7000 Joules(since 1Nm=1 Joule)
Hence, the work done by a force equivalent to the weight of 100, k, g,100kg that moves an object 200, k, m,200km in 7, point, 0, m, i, n,7. 0min is 7000 Joules.
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(Complete question) is:
what is the work done by a force equivalent to the weight of 100kg that moves an object in 7 minutes?
an electron beam in the middle of a set of helmholtz coils shows that the electrons travel along a circular trajectory. what is the feature of the magnetic fields in a set of helmholtz coils that lends itself to this demonstration? select the best answer.
A Helmholtz coil is a parallel pair of the same circular coils spaced one radius aside and wound so that the modern-day flows thru both coils in the same course.
A magnetic field is a vector discipline that describes the magnetic have and impact on shifting electric costs, electric currents, and magnetic substances. A moving fee in a magnetic area studies a force perpendicular to its own pace and to the magnetic discipline.
The magnetic area is an area around a magnetic fabric or a transferring electric-powered fee within which the force of magnetism acts. A magnetic field is a force field that is created by means of transferring electric-powered charges and magnetic dipoles and exerts a force on different nearby moving charges and magnetic dipoles.
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on what date was the mystery planet located farthest to the west? what was the azimuth value of the planet on this date?
The mystery planet was located farthest to the west on December 23, 2016, at an azimuth value of 63°.
The mystery planet was discovered in 2011. It is currently located in the constellation Pegasus and has an apparent magnitude of 21.9, which means that it is extremely dim and difficult to see with an amateur telescope or binoculars.
The planet's orbit is elliptical, with a semimajor axis of 0.8 AU (Earth-Sun separation) and eccentricity 0.77. The orbital period is about 5 years and 11 months, making this one of the longest-period planets ever discovered in our solar system.
It takes about 3 years for the mystery planet to complete one orbit around its star; this orbital period is slightly shorter than Jupiter's orbital period (11 years), so it will complete one orbit in less time than it takes Jupiter to complete one orbit around our sun.
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an eccentric hollywood movie producer, vacationing in australia, goes to an observatory and offers to make a big donation if they can show him a place in the milky way galaxy where there are more than a million stars seen together. which object would satisfy his extravagant tastes?
The object that would satisfy his extravagant tastes, The globular cluster Omega Centauri.
When the core temperature reaches about 100 million degrees helium begins to fuse into carbon through a reaction known as the triple-alpha process, converting three helium nuclei into one carbon atom. This creates a lot of heat. Red giants are dying stars in the final stages of stellar evolution.
In about 5 billion years, our Sun will transform into a red giant and expand to engulf the inner planets, possibly Earth. Stars entering the red giant stage are notorious for their rapid loss of mass. As noted above, the upper layer's gravity weakens and can be ejected into space by violent events such as the initiation of a helium flash within the core.
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What is a consensus?
O A. An agreement that something is correct
B. A type of science that uses observation
C. A theory that uses math to make predictions
OD. A theory that will never be changed
A consensus is an agreement that something is correct ( A )
Option B is incorrect because a type of science that uses observation is called as Quantitative Observation. In this a scientist records the observations of an experiment and collects data. Option C is incorrect because a theory that uses math to make predictions is called as Predictive modeling.
Option D is incorrect because a theory that will never be changed is a fact. A fact is a theory that is known or proved to be true. Option A is correct because an agreement that something is correct is a consensus. The basic meaning of a consensus is a general agreement.
Therefore, the agreement that something is correct is a consensus
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a smokestack has a diameter of 1.5 m and a height of 30 m. the smokestack is to be designed for a wind speed of 60 km/hr. determine the force (n) acting on the smokestack
The force formula is defined by Newton's second law of motion: The force exerted by an object is equal to its mass x acceleration: F = m ⨉ a.
Using this formula, must use SI units. Newtons for force, kilograms for mass, and meters/second squared for acceleration. A force is a push or pull on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, the two objects no longer receive forces. A force is a push or pull that tends to change the rest or uniform motion of an object, or to change the direction or shape of an object. This will accelerate the object. The SI unit is Newton.
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a 1.57-cm panel of a certain material can absorb 85.5% of incoming rays from a radioactive source. how thick of a panel, in cm, of that same material would you need to absorb 99.2% of the rays?
The thickness of the panel should be 1.82 cm.
According to Beer-Lambert law, the absorbance([tex]A[/tex]) of certain incident energy from a medium is given by [tex]A = \epsilon Lc[/tex] where [tex]\epsilon, L\,\text{and}\,c[/tex] denote the molar absorption coefficient, the direct length of the medium and the concentration of the medium.In this situation, since it is the same medium that applies, we can think of the formula in its proportion mode as [tex]A \propto L[/tex].Now we can apply this simplified formula to both situations and find the needed quantity as follows,[tex]\begin{aligned}\\\\\frac{99.2\%}{85.5\%}&=\frac{L}{1.57\,cm}\\\\L&=1.82\,cm\end{aligned}[/tex]
This result is satisfying as more energy can be thought to be lost in the medium during its travel through the medium so the absorbance is higher.To know more about absorbance follow the link below.https://brainly.com/question/29434481
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two coils are placed close together in a physics lab to demonstrate faraday's law of induction. a current of 2.00 a in one is switched off in 1.50 ms, inducing a 7.00 v emf in the other. what is their mutual inductance (in mh)?
The index of refraction of the substance M = 0.45 mH. The refractive index n is the ratio of the speed of light c in a vacuum to the speed of light c' in a medium.
For the system described in the statement, the induced emf in both coils is given by. In other words, the induced emf in one coil is produced by the change in current in the other coil. It can be assumed that a current of 8.0 A belongs to the second coil and an induced emf of 3.00 V develops in the first coil. The current in the second coil turns off at 1.20 ms. Using the previous information, we know: Coil is 0.45mH.
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a. how long must a 0.60-mm-diameter aluminum wire be to have a 0.50 a current when connected to the terminals of a 1.5 v flashlight battery?
To learn the resistance, flashlight and terminal points.
What is flashlight?
A light bulb on a wire makes up a type of circuit that is a flashlight. Simply put, a light bulb converts the energy of moving (-) charges into light. The circuit is created by connecting the wire with the light bulb to the battery by depressing the flashlight's switch.
What is terminal?
A terminal is the place where a conductor from a part, device, or network ends. As the reusable interface to a conductor and a point where external circuits can be connected, an electrical connector at this endpoint is another type of terminal.
a)R = v/i = 1.5/0.5 = 3 ohm
R = rho*L/A
L = R*A/rho = 3*3.14*(0.0003)^2/2.8*10^-8 = 30.2 m
b)
R = 3/2 = 1.5 ohm
i = V/R = 1.5/1.5 = 1 A
so
resistance=1.5/0.54
=2.778 ohm.so,
2.778=(2.8*10^-8*l)/(0.25*3.142*(6*10^-4)^2)
=28.0558 m
b)resistance will become half=1.389 ohm
so current=1.5/1.389
=1.08 A
You need to get the resistance of the wire.
Then do V = I * R
In your book you should have a table that says how to calculate the resistance of a wire for that diameter, material, and length.
Then just plug in the values and solve for I.
1.5 = I * R
Therefore, the connecting terminals is 1.5v.
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If B is added to A, under what condition does the resultant vector have a magnitude equal to A+B.
If B is added to A and the resultant vector have a magnitude equal to A+B if the angle between vector A and b is zero or either magnitude of A or b is zero.
I A I = √ A . A
I B I= √ B . B
I A + B I = √ (A + B ) ( A + B )
I A + B I = √ AA + AB + BA + BB
I A + B I = √ I A I² + I B I² + 2 I A I I B I Cos θ → ( 1 )
Given condition
I A + B I = I A I + I B I
I A + B I² = ( I A I + I B I )²
I A + B I² = I A I² + I B I² + 2 I A I I B I → ( 2 )
Equating ( 1 ) and ( 2 ),
I A I² + I B I² + 2 I A I I B I Cos θ = I A I² + I B I² + 2 I A I I B I
2 I A I I B I Cos θ = 2 I A I I B I
I A I I B I ( cos θ - 1 ) = 0
So either,
I A I = 0
I B I = 0
cos θ - 1 = 0
cos θ = 1
θ = 0°
Therefore, if B is added to A and the resultant vector have a magnitude equal to A+B if the angle between vector A and B is zero or either magnitude of A or B is zero.
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From a height of 2.15 m above the floor of the basketball court, forward Paul
Pierce tosses a shot straight up next to the basketball hoop with a KE of 5.40 J.
If his regulation-size basketball has a mass of 0.600 kg, will his shot go as high
as the 3.04-m hoop? Use the law of conservation of energy.
The answer is yes if one uses the kinetic energy and potential energy formulas (PE = mgh and KE = (1/2)mv²) and knows that they are equal to one another (KE = PE). Greater than 3.04 m is 3.068 m.
What is kinetic energy?The energy an object has as a result of motion is referred to as kinetic energy. In order to accelerate an object, we must apply force. In order to apply a force, we must work hard. The transfer of energy will cause the object to move at a new, constant speed once the work is done.
Heat energy is another name for thermal energy. A moving object has kinetic energy. Due to the fact that thermal energy is created by moving particles, it is a form of kinetic energy.
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a 22.0 kg crate is initially moving with a velocity of 3.90 m/s in a direction 440 west of north. how much work must be done on the crate to change its velocity to 6.67 m/s in a direction 63.00 south of east? do not include units.
The crate needs to put in 1000.63 Joule of work in order to shift its velocity from 0 to 6.67 m/s in the direction of 63.00 south-east.
What work is being done?We are aware that the definition of labor is the multiplication of the force operating in the direction of the displacement (d) and its component.
Given,
A 22 kg container is initially traveling 440 degrees west of north at a speed of 3.90 m/s.
the cosine formula was used to compute the outcome velocity.
where angle ∅ = 440 + 90 + 63 = 593°
v² = (3.90)²+(6.67)² - 2(3.9)(6.67) cos 593
v² = 59.6989 + 52.026 × 0.601
v² = 59.6989 + 31.2676
v² = 90.9665
Resultant velocity V = 9.5376
V = 9.53 m/s
To calculate the much work that must be done on the crate to change its velocity to 6.67 m/s in a direction 63.0° south of east, Because energy and labor are equivalent, the kinetic energy formula is used.
W = 1/2mv²
Where,
m = 22 kg and
v = resultant velocity = 9.53 m/s
W = 0.5 x 22 x (9.53)²
W = 1000.63 Joule
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Why is an understanding of thermal energy transfer important important when designing it in the efficient house
Answer:
Why Is Thermal Energy Important? Thermal energy offers us another source of power. Thermal energy is used in thermal power plants. Thermal energy can be efficiently stored and used as a backup power source during peak usage hours or seasonal weather power use increases.
Explanation:
A water-skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. Describe the possible distances (in miles) that a beginner can travel in 45 minutes of practice time.
A water-skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. The possible distances (in miles) that a beginner can travel in 45 minutes of practice time will be < 13.5 miles
18 miles / hour = 18 / 60 = 0.3 miles / minute
distance = speed * time
= 0.3 * 45 = 13.5 miles
The possible distances (in miles) that a beginner can travel in 45 minutes of practice time will be < 13.5 miles
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which nonmetal forms a gas commonly found in our atmosphere? responses cl uppercase c lowercase l n n i i rn
Acc to the responses given in the query:
Nonmetal forms a gas commonly found in our atmosphere is chlorine (Cl, element 17)
Many of the nonmetals are gases when they are in their elemental state. Example Hydrogen, Flourine, Oxygen, and Nitrogen. (H2, N2, O2, F,and Cl2.)
Describe a non metal.A non-metallic chemical element that may create anions, acid oxides, acids, and stable hydrogen compounds. Examples include boron, carbon, and nitrogen. When compared to metals, nonmetals' electrons exhibit different behaviour. Elements with 4, 5, or 7 electrons in their outermost shell are considered non-metals. Non-metals include things like carbon, oxygen, chlorine, etc.
Describe a metal.Metals are a type of element that typically has 1, 2, or 3 valence electrons. Metals are opaque, glossy elements that are effective heat and electrical conductors. Examples of some metals are sodium, potassium, copper, and others. The majority of metals are ductile and malleable, and they are often.
Hence, acc. to question, Nonmetal forms a gas commonly found in our atmosphere is chlorine (Cl, element 17) .
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Millikan and Harvey set out to measure-
Answer:
Explanation:
The oil drop experiment was carried out by Robert A. Millikan and Harvey Fletcher in 1909 to measure the elemental electric charge (electron charge).
What would happen to the gravitational force felt between two objects if the radius between them were doubled?.
When the radius between of two objects is increased by a factor of 2, the gravitational force is reduced by a factor of 4 and the radius is doubled.
Mass-containing objects are pulled toward one another by the gravitational force. We regularly think about the Earth's gravitational attraction. This force maintains your body's position on the ground. Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be drawn by stronger gravitational forces. As a result, as two objects' relative masses increase, so does their gravitational pull to one another.
The distance between a circle's centre and circumference is known as its radius. The diameter is always twice as large as the radius. Therefore, the diameter is multiplied by two to get the formula.
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Henry was having glass of water with some ice cubes in it and kept it near a window for some time. After some time, the water became warm. What is this process called?.
The process where a glass of water with some ice cubes becomes warm due to being kept in the window for some time will be called as melting.
In the field of science, melting can be described as a process by which a solid substance is changed into a liquid substance due to thermal energy.
Ice cubes are solid substances of water that needs low temperatures. When ice cubes are kept by a window at room temperature, it changes into liquid water due to the process of melting because room temperature is not the cold temperature that the ice cubes require.
Hence, the process by which ice cubes are changed into liquid water by warming them near a window is melting.
Although a part of your question is missing, you might be referring to this question:
Henry was having glass of water with some ice cubes in it and kept it near a window for some time. After some time, the water became warm. What is this process called?
-Condensation
-Melting
-Freezing
-evaporation
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a swimmer completes 10 laps in a 50 m swimmings pool, what were thelinear disatance and linear displacemetn
Answer:
Explanation:
Linear disatance:
D = 50·10 = 500 m
The linear movement is zero because the start point and finish point are the same
How much force is needed to accelerate a 66 kg snowboarder at 2 m/sec2?
What is the mass of the snowboarder? __ kg
What is the acceleration of the snowboarder? __m/sec2
F = _ N
Answer:
Explanation:
Given:
m = 66 kg
a = 2 m/s²
___________
F - ?
F = m·a
F = 66·2 = 132 N
a 75.0-kg ice skater moving at 10.5 m/s crashes into a stationary skater of equal mass. after the collision, the two skaters move as a unit at 5.25 m/s. suppose the average force a skater can experience without breaking a bone is 3,082 n. if the impact time is 0.115 s, does a bone break?
Average force skater had experienced without breaking a bone is 3,082 N. if the impact time is 0.115 s then the average force a skater experience is increased by 3423 N and yes, the bone breaks.
What is Average force?The vector quantity of a force. It is a quantity with both magnitude and direction, hence. We must specify both the size and the direction of the force operating on an object in order to adequately understand it. The average force is force applied by an item travel over specific period of time at a given rate of speed, or velocity.
Given,
m₁ = 75 kg
u₁ = 10.5 m/s
V = 5.52 m/s
dt = 0.115 s
For moving skater,
Change in momentum, dp = m₁u₁ - m₁V
dp = 75 × 10.5 - 75 × 5.25
dp = 393.75
Now, average force, dp/dt = 393.75/ 0.115
dp/dt = 3423 N
For stationary skater,
Change in momentum, dp = m₂(u₁-V)
dp = 75 ×5.25
dp = 393.75
Now, average force, dp/dt = 393.75/ 0.115
dp/dt = 3423.91 N
∴ yes, the bone brakes
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Salt water is more dense than fresh water. A ship floats in both fresh water and salt water. Compared to the fresh water, the volume of salt water displaced by the ship is.
To create a fluid weight equivalent to the weight of the object, less of a more dense fluid must be moved. The amount of displaced water won't be as great because the salt water is denser.
Freshwater is less dense than saltwater. More dense substance will be located below less dense material. When salt is dissolved in water, as it is in ocean water, the added mass of the dissolved salt increases the density of the water relative to that of the water without salt. Consequently, when the density of the fluid increases, upward Due to the increase in buoyant force, objects will float more easily in salt water. Seawater has a higher density and buoyancy than freshwater. Water that is pure is less dense.
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four negative charges of a magnitude of -6 nc each form a square, 12 cm on a side. find the magnitude of electric field at the center of the square.
If four negative charges of a magnitude of -6 nc each form a square, 12 cm on a side, the magnitude of electric field at the center of the square will be zero.
E = F / q
E = Electric field intensity
F = Force
q = Charge
They will all exert equal and opposite forces at the center of the square. So the diagonal forces will be equal in magnitude and opposite direction.
Let the four forces be Fa, Fb, Fc and Fd.
E = [ Fa + ( - Fb ) + Fc + ( - Fd ) ] / q
I Fa I = I Fb I = I Fc I = I Fd I
E = 0
Therefore, the magnitude of electric field at the center of the square will be zero.
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a gas does 189 j of work while expanding, and at the same time it absorbs 154 j of heat. what is the change in internal energy?
35 joule is the change in internal energy when a gas does 189 j of work while expanding, and at the same time it absorbs 154 j of heat.
w= -189
q=154
E=w+q
E= -189+154
E=-35 joule
Internal energy is a property or state function in thermodynamics that describes a substance's energy when capillary effects and the effects of external magnetic, electric, and other fields are not present. As with any other state function, the energy's value depends on the substance's state rather than the kind of methods employed to get there. The first law of thermodynamics states that when a system changes state as a result of a process in which only work is involved, the work is equal to the change in internal energy.
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A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to:.
A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to √t.
Work is a change in kinetic energy, it should be noted. Power will therefore be determined as follows:
Power = Work / Time = force × velocity
Work = the change in kinetic energy = 1/2 mv2
If work is proportional to time:
W = t
1/2 mv2 = t
v2 = t
v (speed) = √t
Speed is the rate and direction of an object's movement, as well as the rate and duration at which an object is moving along a path. In all other positions, speed is a scalar value while pace is a vector.
Power is inversely related to t. Because the force is constant, the velocity will be a function of t. As a result, the particle's speed is proportional to √t.
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