Work required to assemble eight identical point charges, each of magnitude q, at the corners of a cube of side 's' is [tex]\frac{Kq^{2} }{s} [12+6\sqrt{2} +\frac{4}{\sqrt{3}} ][/tex] where K is [tex]\frac{1}{4\pi e }[/tex].
Here, we have a cube of side 's' unit with point charges on all the vertices of the cube. So, we get 12 pairs of charges having separation of length s. 12 pairs of charges on each faces (on the diagonals) having separation of √2s and 4 pairs of charges on the body diagonals of the cube having separation of √3s.
We know that the Work done required to assemble 2 charges = (K x q1 x q2)/ r where q1 and q2 are the amount of charges and r is the separation.
Therefore, the total work done U :
⇒12 x [Kq²/s] + 12 x [Kq²/√2s] + 4 x [Kq²/√3s]
⇒[tex]\frac{Kq^{2} }{s} [12+6\sqrt{2} +\frac{4}{\sqrt{3}} ][/tex] units
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A cannon is fired horizontally with a velocity of 125 m/s from a castle wall that is 250 m tall. a) How far from the wall does the cannon ball land?
b) With what velocity (v f and θ) does the cannon ball hit the ground?
c) What is the acceleration of the cannon ball just before it hits the ground?
(a) The horizontal distance traveled is 1940 m.
(b) The final velocity and the angle with which the cannon hits the ground are of the cannon is 180.07 m/s and 63.4⁰ respectively.
(c) The acceleration of the cannon ball just before it hits the ground is 29.44 m/s².
What is the time of flight of the cannon?The time of flight or time of motion of the cannon is calculated as follows;
t = √ ( 2h / g )
where;
h is the height g is acceleration due to gravityt = √(2 x 250 / 9.8 )
t = 15.6 s
The horizontal distance traveled can be found using the velocity and time of flight,
Horizontal distance (d) = vt
d = 125 m/s x 15.6 s
d = 1940 m
The final velocity of the cannon is calculated as ;
Vertical velocity (v fy ) = gt
v = 9.8 x 15.6 s
v = 153.68 m/s
v f = √(Vx² + Vy²)
vf = √ (125² + 153.68²)
vf = 180.07 m/s
θ = arc tan ( Vy / Vx )
θ = arc tan (153.68 m/s / 125 m/s)
θ = 63.43°
The acceleration of the cannon ball just before it hits the ground can be calculated using the final velocity and the time of flight,
a = (v f² - v i²) / (2t)
a = (180.07² - 0²) / (2 x 15.6 s)
a = 29.44 m/s²
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2. A person standing at the edge of a cliff throws one ball straight up and another ball
straight down, each at the same initial speed. Neglecting air resistance, which ball hits the
ground below the cliff with the greater speed?
Answer:
the ball that is thrown down
Explanation:
due to force
Part A
A sports car accelerates from rest to 94 km/h in 5.5 s.
What is its average acceleration in m/s².
Express your answer using two significant figures.
V
ΑΣΦ
?
Answer:
The average acceleration of the sports car is 16.9 m/s².
ITS DUE IN 5 MINSSSSSSs Through his investigation, Nathanial identified when equal forces are applied to an object, the motion of the object does not change. He started a data table to record the evidence from his investigation. Which further evidence can Nathanial use to support his findings? (ANSWER RIGHT NOW, ITS DUE LITERALLY IN 10 MINS)
67 N in row one and 110 N in row two
120 N in row one and 67 N in row two
115 N in row one and 65 N in row two
100 N in row one and 65 N in row two
Answer:
Explanation:
2nd choice: 120 N in row one and 67 N in row two
Applied forces have to be equal in magnitude and opposite in direction to cancel each other out and result in no change to the object's motion
list two characteristics sound that are affected by the medium through which the sound passes and two characteristics that are not affected
The frequency of a sound wave remains constant when it moves through one medium to another, whereas the wave's temperature, velocity, and wavelength all change.
A frequency is defined.Frequency is the number of waves that pass through a specific spot in a defined amount of time. A wave has a frequency of 2 per second if it goes though within less than one second. if the time required becomes a hundredth of either an hour.
What does the frequency of a wave mean?The frequency of a recurrent occurrence, such as a wave, over a given time period is measured using this unit. A cycle is a single instance of the regular pattern. only waves that are moving and have different positions.
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b) By what factor does the fundamental frequency change when the mass per unit length of a guitar string increases by a factor of 3.50?
The fundamental frequency change when the mass per unit length of a guitar string increases by a factor of 3.50 is, 3.5ⁿ
What is frequency ?Frequency definition states that it is the number of complete cycles of waves passing a point in unit time, the SI unit of frequency is Hertz(Hz),
The frequency of a sinusoidal wave as the number of complete oscillations made by any wave element per unit of time.
The frequency of vibration of a string depends on the length L between the nodes,
the tension F in the string and its mass per unit length m.
Frequency,
f ∝ [Lᵃ] ... (1)
f ∝ [Fᵇ] ...(2)
f ∝ [Mⁿ] ...(3)
Combining equation (1) (2) and (3) we can say:
f₀ = k[Lᵃ x Fᵇ x Mⁿ]
So, when the mass per unit length increases by a factor of 3.50
Then, the new frequency is,
f = k[Lᵃ x Fᵇ x( 3.5M)ⁿ]
= 3.5ⁿ x k[Lᵃ x Fᵇ x Mⁿ]
f = 3.5ⁿ f₀
Hence, the frequency will increase by a factor of 3.5ⁿ
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which of these would increase if a second traffic light were attached to the first? assume the cables do not change their lengths.(select all that apply)
a.the tension T1
b.The angle of the cable with tension T2
c. The angle of the cable with tension T1
d.tension t2
Out of the following statement, a.the tension T1 and d.tension t2 would increase if a second traffic light were attached to the first.
The addition of a second traffic light increases the tension in both cables, when two traffic lights are connected, the cable connected to the first light T1 will increase in tension due to the added weight of the second light. The additional weight creates a greater force that must be resisted and so the tension in the cable will increase, similarly the cable connected to the second light, T2 will also increase in tension due to the added weight of the first light.
The angle of the cable with tension T2 will also increase due to the additional force created by the tension in T1. This increase is due to the additional force created by tension inT1, this increase in tension and angle can be seen in the physical world as the cables connected to the two traffic lights stretch and bend to accommodate the additional weight, the increase in tension and angle helps to ensure that the two lights stay secure and remain in the proper position.
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Suppose a car's velocity is to the left, and its acceleration is to the right. Which of the following describes this car's motion? A) The car is speeding up. B) The car is slowing down. C) The car is moving at a constant speed.
The correct answer is B) The car is slowing down.
What is velocity?Velocity is a vector quantity that measure the rate and direction of the change. Velocity is an object position it is equal to distance traveled devide by time.
This is because when the velocity is to the left and the acceleration is to the right, the acceleration is in the opposite direction of the velocity.
This means that the car is experiencing a deceleration, or a slowing down of its velocity. Since the acceleration is to the right, the car is slowing down with respect to the right.
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A 238.8 g sample of water at 17.5°C is heated to steam at 118.9°C. How much heat was absorbed?
Answer:
535.3 kJ heat was absorbed.
Explanation:
The heat absorbed by the water can be calculated using the equation:
Q = mLf
where Q is the heat absorbed, m is the mass of the water, Lf is the heat of vaporization, and Lf is the amount of heat required to vaporize a substance at a constant temperature.
The heat of vaporization of water at 100°C is 40.7 kJ/mol. Since 1 mol of water has a mass of 18.02 g, the heat of vaporization per gram of water is 40.7 kJ/mol / 18.02 g/mol = 2.257 kJ/g.
So the heat absorbed by the 238.8 g of water can be calculated as:
Q = 238.8 g * 2.257 kJ/g = 535.3 kJ.
This is the amount of heat energy absorbed by the water to convert from a liquid at 17.5°C to a gas at 118.9°C.
The equation of a wave traveling in a horizontal direction is expressed as y = 5sin(60t - x)
What's the phase angle
(a)90° (b)180° (c)270° (d)360° (e)0°
Answer:
The equation of a transverse wave traveling along a very long string is y=6.0sin(0.020πx+4.0πt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave, and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x=3.5 cm when t=0.26s?/(a) The amplitude is y
m
=6.0 cm.
(b) We find λ from 2π/λ=0.020π⋅λ=1.0×10
2
cm.
(c) Solving 2πf=ω4.0π, we obtain f=2.0 Hz.
(d) The wave speed is v=λf=(100 cm)(2.0 Hz)=2.0×10
2
cm/.s
(e) The wave propagates in the −x direction, since the argument of the trig function is kx+ωt instead of kx−ωt
(f) The maximum transverse speed (found from the time derivative of y) is
u
max
=2πfy
m
=(4.0πs
−1
)(6.0 cm)=75 cm/s
(g) y(3.5 cm,0.26 s)=(6.0 cm)sin[0.020π(3.5)+4.0π(0.26)]=2.0 cm.
O FIND THE MOMENT OF INERTIA IF MASS is 20kg and radius 2m
The moment of inertia (I) of the given object is 40 kg m².
The moment of inertia of the given body having the mass of 20 kg and radius 2 m can be calculated using the formula:
I = (1/2)× m × r²
where 'm' is the mass of the body and 'r' is the radius.
Putting the values in the above equation :
I = (1/2) × 20 kg × 2m × 2m
I = (1/2) × 20 kg × 4 m²
I = 40 kg m²
So, the moment of inertia of the object given is 40 kg m².
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Choose: The opposite figure shows a mercury barometer. If the height of the mercury column in the barometer was (h) when the atmospheric pressure was 1.01 x 105 N/m² the value of pressure at point x equals a) 1.01 x 105 N/m² b) 6.73 x 104 N/m² c) 2.52 x 104 N/m² d) 7.58 x 104 N/m² Vacuum Mercury
The pressure at the point x is atmospheric pressure was . Option A
What is the pressure in the arms of the barometer?
We know that the barometer is a kind of device that can be used in the measurement of the pressure of the substance. We have to note that the barometr does have two arms.
The image of the barometer is not shown in this question but we know that the pressure does become equilibrated between the two arms of the barometer that have been shown such that the have the same pressure.
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A man pushes a lawn mower on a level lawn with a force of 186 N. If 26% of the force is directed horizontally, how much work is done by the man in pushing the mower 6.5 m?
Answer:
W = 48.36 x 6.5 = 314.34 J.
Explanation:
The work done by the man in pushing the mower is the force multiplied by the displacement. Since 26% of the force is directed horizontally, we can calculate the amount of force that is directed horizontally as 0.26 x 186 N = 48.36 N. The work done is then calculated as W = F x s, where F is the horizontal force and s is the displacement. Therefore, the work done by the man in pushing the mower 6.5 m is W = 48.36 x 6.5 = 314.34 J.
Answer:
My basic purpose of designing this blog is to get ride of students from private tution and academy culture.Secondly, sometimes you are present in the class physically but not mentally so as a result you can't give attention to your lecture, so you missed it. This blog will provide you video lectures with complete description. So you can take lecture any time and any where.
Explanation:
If we double the root-mean-square speed (thermal speed) of the molecules of a gas, then A) its temperature must increase by a factor of 4. B) its temperature must increase by a factor of 2. C) its temperature must increase by a factor of . D) its pressure must increase by a factor of 2.
5. (3 points) Recall that the Stefan-Boltzmann Law relates the temperature of a blackbody
(T) and the power radiated at its surface (E), according to:
B = GT4
(Note that we have assumed the emissivity is 1, and therefore leave it out of this equation for simplicity).
If a star's surface temperature is 30,000 K, how much power does a square meter of its
surface radiate? Give your answer in scientific notation with units of W/m². Use the
Stefan-Boltzman constant, o= 5.67 x 10^-8 W/m^2(K^4)
The power radiated by a square meter of the star's surface is 5.67 x 10^17 W/m².
What do you mean by Stefan-Boltzmann Law?
The Stefan-Boltzmann Law states that the total energy radiated per unit surface area of a black body in thermodynamic equilibrium is directly proportional to the fourth power of its absolute temperature. This law is a fundamental law of thermodynamics and was first derived by Austrian physicist Josef Stefan in 1879, and later extended by German physicist Ludwig Boltzmann in 1884.
This is calculated by plugging the temperature into the Stefan-Boltzmann Law, as follows:
E = oT^4 = (5.67 x 10^-8)(30,000)^4 = 5.67 x 10^17 W/m².
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A compass needle tends to
A. line up randomly to a magnetic field
B. line up parallel to a magnetic field
C. line up perpendicular to a magnetic field
D. line up with the geographic poles of the earth
E. None of these
The required compass needle tends to line up parallel to a magnetic field. Option B is correct.
What is a magnetic field?A magnetic field is a field that surrounds a magnetic object and exerts a force on other magnetic objects within the field. It is a type of field generated by moving electric charges or by magnetic materials.
Here,
A compass needle tends to line up parallel to a magnetic field. The compass needle is a magnet and the magnetic field from the Earth causes it to align in a north-south direction, with the North end of the needle pointing towards the magnetic North Pole.
Thus, the required compass needle tends to line up parallel to a magnetic field. Option B is correct.
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The position x of a bowling ball rolling on a smooth floor as a function of time t is given by: x(t)=v0t+x0x(t)=v0t+x0, where v0=2.5m/sv0=2.5m/s and x0=−5.0mx0=−5.0m. The polynomial relationship between position and time for the bowling ball is _______________. O cubic O inverse exponential O quadratic linear
The bowling ball's position and time are related by a linear equation.
What is linear equation?A linear equation is a mathematical formula that depicts the proportionate relationship between two or more variables, i.e., how changes in one variable cause predictable changes in the others.
The equation x(t) = v0t + x0, where v0 is the starting velocity of the ball (2.5 m/s) and x0 is the initial position of the ball, explains how the position of a bowling ball moving over a smooth surface change with time t. (-5.0 m).
In other words, the ball's position is proportional to the amount of time that has passed, with the beginning velocity, v0, serving as the proportionality constant. Since the ball's velocity is constant, its position advances linearly with time.
As a result, the bowling ball's polynomial relationship between location and time can be represented by a linear equation. Since cubic and inverse exponential equations are often non-linear and have more complicated forms, it is not one of those.
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If a 100 V power supply is connected in the circuit below, what are the possibly correct readings on the ammeters clockwise from the upper left (A1-A7)?
a. 3 A, 1A, 2A, 1A, 2A, 1A, 3A
b. 3 A, 2A, 1A, 1A. 1A, 1A, 2A
c. 3 A, 2A, 1A, 1A. 1A, 1A, 2 A
d. 3 A, 2A, 1A, 1A, 1A, 1A, 3A
If a 100 V power supply is connected in the circuit below, what are the possibly correct readings on the ammeters clockwise from the upper left (A1-A7), 3 A, 1A, 2A, 1A, 2A, 1A, 3A. so, option (a) is correct.
What is ammeter ?
A shunt and a gadget known as a galvanometer are parallelly linked within the ammeter. Shunts are resistances that let measured current flow through an ammeter and provide a complete readout. A sensitive current detector is the galvanometer.
What is power ?
Work is done at a certain rate according to power. P=Wt. The watt (W), which is equal to 1 joule per second (1J/s), is the SI unit of power. Power is the rate at which energy is used up since power is the transfer of energy. For instance, a 60-W light bulb uses about 60 J of energy every second.
Therefore, If a 100 V power supply is connected in the circuit below, what are the possibly correct readings on the ammeters clockwise from the upper left (A1-A7), 3 A, 1A, 2A, 1A, 2A, 1A, 3A. (a).
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A golf ball (lighter) is fired at a bowling ball (heavier) initially at rest and bounces back elastically. Compared to the bowling ball, the golf ball after the collision has
a) less momentum but more kinetic energy
b) more momentum but less kinetic energy
c) more momentum and more kinetic energy
d) less momentum and less kinetic energy
Compared to the bowling ball, the golf ball after the collision has a) less momentum but more kinetic energy.
The bowling ball's velocity and, consequently, its kinetic energy are significantly lower than those of the golf ball because its mass is significantly greater than that of the latter.
Why is the kinetic energy of a bowling ball greater than that of a golf ball?
First off, heavier objects in motion have more kinetic energy than lighter ones. For example, a bowling ball travelling at 10 m/s (the equivalent of a very fast sprint) has a lot more kinetic energy than a golf ball travelling at the same speed.
How does a collision between a bowling ball and bowling pins alter their kinetic energy?
When two objects collide, some of the kinetic energy is converted during the collision to another form of energy, this is known as an inelastic collision. A portion of the kinetic energy from the bowling ball is transferred to the pins when it strikes them, as evidenced by the way bowling balls and pins scatter and bounce after impact.
Which ball has more inertia, a golf ball or a bowling ball?
As a result of having more mass than a golf ball, a bowling ball will have a higher moment of inertia.
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A 10 kg dog is running in a circle around a tree, trying to catch a squirrel. The dog's speed is 7 m/s and the radius of the dog’s circular path is 3 meters. What is the centripetal force acting on the dog?
A.) 163 N
B.) 16.3 N
C.) 490 N
D.) 23 N
The centripetal force acting on the dog is 245 N (The options are wrong).
What is centripetal force?The formula for centripetal force is given by F = m × v² / r, where m is the mass of the object (in this case, the dog), v is the velocity of the object, and r is the radius of the circular path.
Plugging in the given values:
F = 10 kg × (7 m/s)² / 3 m = 245 N
So the centripetal force acting on the dog running around a tree is 245 N.
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In which circumstance would hypnosis be most effective and appropriate?
A geologist finds that a moon rock whose mass is 8.88 kg has an apparent mass of 5.97 kg when submerged in water. What is the density of rock?
The Density of rock=(6315 kg/m^3)
It is a universal fact that the mass of an object remains constant whether measured on earth or on the moon.
Mass of rock on moon/earth = 7.2
Loss in weight =7.02 - five.88 = 1.14 kg = 1140g
As we know that water has a density of 1g/cm^3 (1000kg/m^3)
The volume of water = volume of the rock
= Mass/density;
=1140 cm^3
density of rock = mass/extent = 7200/1140 = 6.315 g/cm^3
Density of rock=(6315 kg/m^3)
Density (volumetric mass density or particular mass) is the substance's mass in line with a unit of extent. The symbol most usually used for density is ρ (the decreased case Greek letter rho), despite the fact that the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of volume.
The density of fabric varies with temperature and stress. this variation is usually small for solids and drinks but a whole lot greater for gases. increasing the strain on an object decreases the quantity of the object and therefore will increase its density. increasing the temperature of a substance (with some exceptions) decreases its density via increasing its quantity. In most materials, heating the bottom of fluid outcomes in convection of the warmth from the bottom to the pinnacle, due to the lower density of the heated fluid, which motivates it to rise relative to denser unheated material.
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Complete question:
A geologist finds that a moon rock whose mass is 7.2 kg has an apprant mass 5.88kg when submerged in water what is the density of rock.
The closed tank was completely filled with carbon tetrachloride when the valve at B was opened, slowly letting the carbon tetrachloride level drop as shown. The valve is then closed and the space within A is a vacuum. Density of carbon tetrachloride is 3.09 slug/ft3. The atmospheric pressure is 14.7 psi.
A) Determine the gage pressure (psi) in the liquid near valve B when h = 33ft
B) Determine at what level h (ft) the absolute pressure in the liquid near valve B will be equal to the atmospheric pressure.
A) The gage pressure (psi) in the liquid near valve B when h = 33ft is: 472.7ps. B) The level h (ft) where the absolute pressure in the liquid near valve B will be equal to the atmospheric pressure is: -14.9ft.
What is gage pressure?
Gage pressure is the pressure of a gas, liquid, or solid measured relative to the atmospheric pressure. It is measured by a device known as a gage, which is typically a tube with a movable spring-loaded diaphragm that is connected to a display or recording device. Gage pressure is typically expressed in units of pounds per square inch (psi) or kilopascals (kPa).
A) The gage pressure (psi) in the liquid near valve B when h = 33ft is:
Pgage = Patm + ρgh
Pgage = 14.7psi + (3.09slug/ft3)(32.2ft/s2)(33ft)
Pgage = 472.7ps
B) The level h (ft) where the absolute pressure in the liquid near valve B will be equal to the atmospheric pressure is:
Pabs = Patm
Pabs = ρgh + Pgage
0 = (3.09slug/ft3)(32.2ft/s2)h + 472.7psi
h = -14.9ft
Since h cannot be negative, the absolute pressure in the liquid near valve B will never equal the atmospheric pressure.
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A man pushes a lawn mower on a level lawn with a force of 211 N. If 50% of this force is directed forward, how much work is done by the man in pushing the mower 5.7 m?
Answer:
W = 211 N * 0.5 * 5.7 m = 597.7 Nm.
Explanation:
The work done by the man in pushing the mower is given by the equation, W = F * d, where F is the force applied and d is the displacement.
In this case, the force applied is 211 N, and the displacement is 5.7 m. Since only 50% of the force is directed forward, we can calculate the amount of work done by multiplying the force by 0.5.
Therefore, the work done by the man in pushing the mower is:
W = 211 N * 0.5 * 5.7 m = 597.7 Nm.
The stair stepper is a novel exercise machine that attempts to reproduce the work done against gravity by walking up stairs. With each step, Brad (of mass 80 kg) simulates stepping up a vertical distance of 0.15 m with this machine. If Brad exercises for 18 min per day with a stair stepper at a frequency of 50 steps per minute, what total work he does he do each day? The acceleration of gravity is 9.8 m/s^2 . Answer in units of J.
Answer:
Brad does about 105840 Joules (J) of work each day with the stair stepper.
Explanation:
To calculate the work done by Brad, we need to find the force he exerts and the distance he moves against gravity with each step, and then multiply by the number of steps per day.
The force Brad exerts is equal to his weight, which is:
F = mg = (80 kg) x (9.8 m/s^2) = 784 N
The distance Brad moves against gravity with each step is 0.15 m.
The total number of steps Brad takes each day is:
steps = (18 min/day) x (50 steps/min) = 900 steps/day
Now we can calculate the work done by Brad each day as follows:
work = force x distance x number of steps
= (784 N) x (0.15 m) x (900 steps)
= 105840 J
Therefore, Brad does about 105840 Joules (J) of work each day with the stair stepper.
a researcher wants to measure internal consistency in a test that measures two different constructs (self-esteem and depression) without subdividing the items into the two construct groupings. which of the following would be the best method to use in measuring internal consistency?
If the researcher wants to measure internal consistency in a test , then the best method to use in measuring the internal consistency is Split Half Reliability .
The Split Half Reliability is defined as a method which is used to measure the internal consistency of a test by splitting the test into two halves and then calculate the correlation between the scores on the two halves of the test .
In this case, the researcher wants to measure the internal consistency of a test that measures two different constructs (self-esteem and depression) without subdividing the items into the two construct groupings.
Since the test measures two different constructs, the split half reliability may not be able to provide an accurate estimate of internal consistency, because the correlation between the scores on the two halves may be influenced by the different constructs being measured.
The given question is incomplete , the complete question is
A researcher wants to measure internal consistency in a test that measures two different constructs (self-esteem and depression) without subdividing the items into the two construct groupings. What would be the best method to use in measuring internal consistency ?
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at a given instant in time, a red car is traveling at twice the velocity of a blue car. which of the following statements is correct? A. The red car has a higher acceleration than the blue car
B. The blue car has a higher acceleration than the red car
C. Both cars have the same acceleration
D. There is nothing we can say about the acceleration of either car
There is nothing we can say about the acceleration of either car
How does acceleration work?
The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.
The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
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true/false. a complete circuit is left on for several minutes, causing the connecting copper wire to become hot. as the temperature of the wire increases, the electrical resistance of the wire
The copper wire that connects the circuit is left on for a number of minutes before becoming heated. False, the wire becomes hotter as it gets hotter. Thus, it is false.
What is the electrical resistance of the wire?A complete circular path through which electricity flows is known as a circuit in electronics. A simple circuit consists of a current source, conductors, and a load.
The term “circuit” can broadly be used to describe any ongoing path via which electricity, data, or a signal might go.
Closed circuit, open circuit, short circuit, series circuit, and parallel circuit are the main varieties of electric circuits. The movement of electric charge or current has a conductive channel thanks to electric circuits.
Therefore, it is false that if a complete circuit is left on for a number of minutes, the copper wire that connects the devices gets warm. When the wire's temperature rises, so does its electrical resistance.
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An object on a rough horizontal surface has a maximum possible static friction of 3 N and kinetic friction of 2 N. If the object is given a 4-N horizontal push, what is the magnitude of the net frictional force (static plus kinetic frictional forces) acting on the object?
The net frictional force acting on the object on a rough horizontal surface is 5 N.
This is because the maximum static frictional force is 3 N and the kinetic frictional force is 2 N. Therefore, the total of the two forces is 5 N.
The frictional force is always a resistive force between two surfaces in contact that opposes their relative motion. It is a non-conservative force, meaning it does not obey the laws of conservation of energy. The magnitude of the frictional force is dependent on a number of factors, including the nature of the two surfaces in contact, the normal force between them, the speed of the relative motion, and the coefficient of friction between them.
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The Sun radiates a total power of about 4×1026 watts into space. The Sun's radius is about 7×108 meters.
Calculate the average power radiated by each square meter of the Sun's surface. (Hint: The formula for the surface area of a sphere is A=4πr2.)
a. ≈2×108Wm2
b. ≈2×1045Wm2
c. ≈5×1016Wm2
d. ≈6×107Wm2
The average power radiated by each square meter of the Sun's surface is 6 × 10⁷ W/m². therefore option D is correct.
What is radius?Radius is a term used in geometry to describe the length of a line extending from the center of a circle to the edge of the circle. This line is also referred to as the radius of the circle. The radius is half the distance of the diameter, which is the line that goes from one side of the circle to the other. The radius is also used in other shapes such as ellipses, rectangles, and polygons.
This is because the electric field lines radiate outward from the circumference of the ring, and as a result, the electric potential is lower near the circumference and higher further away from the circumference. As one moves closer to the center of the ring, the electric potential decreases.
Given power = 4×10²⁶ watts
Area = 4πr²
= 4π(7×10⁸)²
Area = 6.15752 × 10¹⁸
Average Power = Power/Area
= 4 × 10²⁶/6.157 × 10¹⁸
= 6.496 × 10⁷ W/m²
≈ 6 × 10⁷ W/m²
Thus, the average power radiated by each square meter of the Sun's surface is 6 × 10⁷ W/m². therefore option D is correct.
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