Answer:
a) R = 2.5 Ω, b) R = 1 Ω, c) R = 2R / 3 Ω
Explanation:
The resistance configuration can be in series or in parallel, for each one the equivalent resistance can be calculated
series, the equivalent resistance is the sum of the resistances
parallel, the inverse of the equivalent resistance is the inverse of the sum of the resistances
let's apply these principles to each case
case a)
equivalent series resistance
R₁ = 1 +4 = 5 ohm
R₂ = 2 +3 = 5 ohn
these two are in parallel
1 / R = 1/5 +1/5
1 / R = 2/5
R = 2.5 Ω
case B
we solve the parallel
1 / R₁ = ½ + ½ = 1
R₁ = 1 Ω
we solve the resistors in series
R₂ = 1 + 1
R₂ = 2 Ω
finally we solve the last parallel
1 / R = ½ +1/2 = 1
R = 1 Ω
case C
we solve house resistance pair in series
R₁ = R + 2R = 3R
we go to the next mesh
R₂ = R + 2R = 3R
R₃ = R + 2R = 3R
last mesh
R₄ = R + R = 2R
now we solve the parallel of this equivalent resistance
1 / R = 1 / R₁ + 1 / R₂ + 1 / R₃ + 1 / R₄
1 / R = 1 / 3R + 1 / 3R + 1 / 3R + 1 / 2R
1 / R = 3 / 3R + 1 / 2R = 1 / R + 1 / 2R
1 / R = 3 / 2R
R = 2R / 3 Ω
Suppose we have Cl-, Na+, and Ca2+ ions in an aqueous solution (with dielectric constant κ = 80.4—we will discuss this later). Consider the situation where a sodium ion is between a chlorine ion and a calcium ion as shown:
(Cl-) (Na+) (Ca2+)
If the sodium ion is 1.50 nm from the chlorine ion and 3.00 nm from the calcium ion, find the electric force on the Na+ ion.
Answer:
a) 1.19 x 10^7 N/C
b) 2 x 10^-12 N
Explanation:
field due to Cl on (9.0xE¡)(1.6x10-19 C) (1.5Å—10-9m) -6.4x10 N/C field due to Ca+3 ion, 2(90x10 (1.6x10-19c) ((4.5-1.5)Å—10-9 m)' magnitude of net field at given point without dielectric E E+E 6.4x108 +3.2x108-9.6x10 N/C magnitude of net field at given point with di electric K 80.4 the force on sodium ion at this point, F-Edq= (1.19å—107 N/C)(1.6å—10-19C)= 2.0Å—10-12 N
which of the following terms refer to the area immediately around the crime?
A crime scene
B bird's-eye view
C extent
D core area
Answer:
A....It is a crime sene
Explanation:
A block of mass 2.80 kg is placed against a horizontal spring of constant k = 785 N/m and pushed so the spring compresses by 0.0750 m.
1) The electric potential energy of the block-spring system is approximately 22.03 J.
2) The block's speed after leaving the spring is approximately 2.165 m/s.
1) To calculate the electric potential energy of the block-spring system, we need to consider the potential energy stored in the spring when it is compressed. The formula for the potential energy stored in a spring is given by:
\(PE =\) \((1/2) k x^2\)
where PE is the potential energy, k is the spring constant, and x is the displacement (compression) of the spring.
Given that the spring constant, k, is 785 N/m and the displacement, x, is 0.0750 m, we can substitute these values into the formula:
\(PE =\) \((1/2) * 785 * (0.0750)^2\) = 22.03125 J
2) When the block is released, it will experience a conversion of potential energy stored in the spring into kinetic energy as it accelerates. Since the surface is frictionless, there are no dissipative forces, and the conservation of mechanical energy can be applied.
The potential energy stored in the spring is given by the equation:
\(PE =\) \((1/2) mv^2\)
where m is the mass of the block and v is its velocity.
By equating the initial potential energy to the final kinetic energy, we can solve for the velocity of the block:
\((1/2) k x^2 = (1/2) mv^2\)
Simplifying the equation:
\(v^2 = k/m * x^2\)
\(v = sqrt(k/m) * x\)
Substituting the given values:
v = sqrt(785/2.8) * 0.0750 ≈ 2.165 m/s
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symbol of science hhshsjsiwtwwisjzhJava
Answer:
is this a company name.? java is a computer software right..
Which of the following objects
transforms chemical energy into
mechanical energy?
A. Battery powered clock
B. Cell phone
C. Washing machine
D. Windmill
Battery-powered clocks and Washing machines are objects that transform chemical energy into mechanical energy.
What are chemical energy and mechanical energy?Chemical energy is a type of energy that is stored in the bonds of a chemical. It is converted into thermal energy when people burn wood or burn gasoline in the engine of a car. Mechanical energy is a type of energy that is stored in objects by tension. Compressed springs and stretched bands are examples of mechanical energy.
Mechanical energy i.e. kinetic energy or potential energy is the energy that is present in an object in motion or the energy that is stored in objects due to their position. Mechanical energy is a type of renewable energy.
So we can conclude that options A and C are the correct answers.
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suggest a reason why the earth can be compared to a bar magnet
3. What is the power of a derby race car that uses a 50 N force to travel 20 meters in 10 seconds?
A. 1000 W
B. 100 W
C. 80 W
Monochromatic light with lambda equals 630 space n m is incident on a single slit. The slit width is 0.8 mm. If the distance between the screen and slit is 1.8 m, what is the width of the central bright fringe on the screen
Answer:
The angular width is "\(1.575\times 10^{-3} \ rad\)" and the linear width is "\(2.835\times 10^{-3} \ m\)".
Explanation:
Given:
Wavelength,
\(\lambda = 630 \ nm\)
or,
\(=630\times 10^{-9} \ m\)
Slit width,
\(a = 0.8 \ mm\)
or,
\(=0.8\times 10^{-3} \ m\)
Distance between slit and screen,
\(D = 1.8 \ m\)
As we know,
The central bright fringe's angular height,
⇒ \(\theta = \frac{2 \lambda}{a}\)
\(= \frac{2\times 630\times 10^{-9}}{0.8\times 10^{-3}}\)
\(=1.575\times 10^{-3} \ rad\)
and,
The linear width will be:
⇒ \(x_o=\frac{2D \lambda}{a}\)
By substituting the values, we get
\(=\frac{3\times 1.8\times 630\times 10^{-9}}{0.8\times 10^{-3}}\)
\(=2.835\times 10^{-3} \ m\)
A ball is projected at an angle of 53°. If the initial velocity is 48 meters/second, what is the vertical component of the velocity with which it was launched?
A.) 31 meters/second
B.) 38 meters/second
C.) 44 meters/second
D.) 55 meters/second
Answer:
The vertical component of the velocity can be found using the formula:
V₀y = V₀ * sin(θ)
where V₀ is the initial velocity, θ is the angle of projection, and V₀y is the vertical component of the velocity.
Substituting the given values, we have:
V₀y = 48 * sin(53°)
Using a calculator, we can evaluate sin(53°) to be approximately 0.799:
V₀y = 48 * 0.799
V₀y ≈ 38.352
Therefore, the vertical component of the velocity with which the ball was launched is approximately 38 meters/second, which corresponds to option B.
Answer:
B.) 38 meters/second
Explanation:
Particles q₁ = -20.5 µC, q₂ = -9.30 µC, and 93 = -31.6.0 µC are in a line. Particles q₁ and q₂ are separated by 0.980 m and particles q₂ and q3 are separated by 0.750 m. What is the net force on particle q₂?
ANSWERED: -2.92 N
The net force on particle q₂ is approximately 773.1 N.
To determine the net force on particle q₂, we need to consider the electrostatic forces between q₁ and q₂, as well as between q₂ and q₃. The net force will be the vector sum of these individual forces.
The electrostatic force between two charged particles is given by Coulomb's Law:
F = k * |q₁ * q₂| / r²
where F is the force, k is the electrostatic constant (9 x 10^9 N m²/C²), q₁ and q₂ are the magnitudes of the charges, and r is the separation distance between the charges.
First, let's calculate the force between q₁ and q₂:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9 x 10^9 N m²/C²) * |(-20.5 µC) * (-9.30 µC)| / (0.980 m)²
F₁₂ = (9 x 10^9 N m²/C²) * (20.5 x 10^-6 C) * (9.30 x 10^-6 C) / (0.980 m)²
F₁₂ ≈ 355.5 N
The positive sign indicates that the force between q₁ and q₂ is repulsive, pointing away from q₁.
Next, let's calculate the force between q₂ and q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9 x 10^9 N m²/C²) * |(-9.30 µC) * (-31.6 µC)| / (0.750 m)²
F₂₃ = (9 x 10^9 N m²/C²) * (9.30 x 10^-6 C) * (31.6 x 10^-6 C) / (0.750 m)²
F₂₃ ≈ 417.6 N
The positive sign indicates that the force between q₂ and q₃ is repulsive, pointing away from q₂.
Now, to find the net force on q₂, we need to sum up the forces:
Net force = F₁₂ + F₂₃
Net force ≈ 355.5 N + 417.6 N
Net force ≈ 773.1 N
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Answer: -2.92 N I know that because I done a lot of research and I have it in my notes :)
What is the value of the universal gas constant (R) in Sl units?
5.
A constant force of 15 N in the negative y direction acts on a particle as it moves from the origin
to the point (3î +31 - 1k) m. How much work is done by the given force during this
displacement?
+45 J a.
-45 J b.
+30 J C.
-30 J d.
+75 J e.
The work done by the given force should be -45 joules
Calculation of the work done:
Since force acts in the negative y direction
So,
F = -15j
here the displacement vector is d = 3i+3j-1k
Now
work done is W = dot product of force and displacement
= [-15j ] . [ 3i+3j-1k]
=-45 joules
Therefore, The work done by the given force should be -45 joules
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A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you.
How big is the force acting on the wire?
A. 4 N
B. 8 N
C. 12 N
D. 16 N
Answer:16
Explanation:
as F=BIL so by placing value's B is magnetic field 4 and i is current 2A and l is length that js 2 m so answer is
Given: i=10A,B=0.15 T,θ=45
∘
and l=2 m
Force on a current carrying wire of finite length =
F
=l(
i
×
B
)
Hence, magnitude of force, F=Bilsinθ
=0.15×10×2×sin45
∘
=
2
3
N
A proton, moving north, enters a magnetic field. Because of this field, the proton curves downward. We may conclude that the magnetic field must have a component: _______
a. upward.
b. towards the west.
c. towards the east.
d. towards the north.
e. downward.
Answer:
towards the west
One can conclude that the magnetic field must have a component towards the east. The correct option is c.
What is magnetic field?A magnetic field is a vector field that describes the magnetic influence on moving charges, currents, and magnetic materials.
A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field.
Every magnet possesses a north as well as a south pole. The opposite poles attract each other, whereas the same poles repel each other.
When you rub a piece of iron against a magnet, the atoms' north-seeking poles line up in the same direction.
Moving north, a proton enters a magnetic field. The proton curves downward as a result of this field. We can conclude that the magnetic field must have an eastward component.
Thus, the correct option is c.
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That’s easy please tell me!
The following graph of velocity versus time represents that of an automobile that travels in a straight line. From this graph, one can conclude that:
The true statement is that the acceleration in the first two seconds is 6 m/s^2.
What is acceleration?The term acceleration is defined as the rate of change of velocity with time. The graph as shown is a velocity time graph. The graph shows the changes that occur in the velocity over a given time interval.
Now we have;
Initial velocity = 0 m/s
Final velocity = 12 m/s
Time taken = 2s
Acceleration = 12 - 0/2
= 6 m/s^2
Thus the true statement is that the acceleration in the first two seconds is 6 m/s^2.
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Consider as a system the gas in a vertical cylinder; the cylinder is fitted with a piston on which a number of small weights are placed. The initial pressure is 200 kPa, and the initial volume of the gas is 0.04 m3 . (a) Let a Bunsen burner be placed under the cylinder, and let the volume of the gas increase to 0.1 m3 while the pressure remains constant. Calculate the work done by the system during this process. (b) Consider the same system and initial conditions, but at the same time that the Bunsen burner is under the cylinder and the piston is rising, remove weights from the piston at a rate such that, during the process, the temperature of the gas remains co
Answer:
Explanation:
a ) At constant pressure , work done = P x Δ V
= 200 x 10³ x ( .1 - .04 )
= 12 x 10³ J .
b )
At constant temperature work done
= n RT ln v₂ / v₁
= PV ln v₂ / v₁
= 200 x 10³ x .04 ln .1 / .04
8 x 10³ x .916
= 7.33 x 10³ J .
For each, find the radius, diameter, and circumference of the circular object (one of these measurements is given in the problem). When working with the circumference, use π and round to the nearest whole number. a. Breaking a cookie in half creates a straight side 10 cm long.radius: cmdiameter: cmcircumference: cm
ANSWER
• radius: ,5 cm
,• diameter: ,10 cm
,• circumference: ,31 cm
EXPLANATION
If we assume that the cookie is round, when we cut it in half we'll have the following shape:
The straight side is the diameter of the cookie, which is 10 cm long.
The radius of a circle is half the diameter, hence the radius of the cookie is 5 cm.
The circumference is,
\(C=\pi\cdot d\)Where d is the diameter of the circle. In this case, this is 10cm,
\(C=\pi\cdot10\operatorname{cm}\approx31\operatorname{cm}\)The circumference of the cookie is 31 cm, rounded to the nearest whole number.
Explain the "war of the currents"
Answer:
the war of currents is
Explanation:
The war of currents was a series of events surrounding the introduction of competing electric power transmission systems in the late 1880s and early 1890s.
Answer:
a series of events surrounding the introduction of competing electric power transmission systems in the late 1880s and early 1890s
Explanation:
1. What kind of light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds?
2. A light phenomena which are formed when light passes through clouds and strikes
18
the ice crystals in them?
3. A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion?
4. Rainbow are created after a rain shower and . 5. What do you call a visible accumulations of tiny water droplets or ice crystals
in the Earth’s atmosphere?
6. Howmanycolorsinrainbow?
7. What kind of rainbows are formed when light strikes small raindrops with almost the same size?
8. What kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow?
9. What do you call as a reflective surface that is curved inward and away from the light source?
10. What kind of mirror are curved outward like the bottom
of a spoon?
1. The light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds is called Sundogs.
2.A light phenomena which are formed when light passes through clouds and strikes the ice crystals in them is called Halos.
3.A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion is Rainbow.
4. Rainbow are created after a rain shower and Sun light.
5. A visible accumulations of tiny water droplets or ice crystals.
in the Earth’s atmosphere are called Clouds.
6. There are seven colors in a rainbow.
7. The kind of rainbows are formed when light strikes small raindrops with almost the same size are Supernumerary rainbows.
8.The kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow are Secondary rainbows.
9. A reflective surface that is curved inward and away from the light source is concave mirror.
10. The kind of mirror are curved outward like the bottom
of a spoon is convex mirror.
What is reflection?When a light strikes on a shiny surface, it reflects back the light ray in the same medium. The phenomenon is called reflection and the ray is called the reflected ray.
Thus, all the questions are answered.
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Which phrase describes a scientific law?
A. A statement that matter cannot be created or destroyed
B. A claim that experiments cannot verify whether matter has been
destroyed
O C. An explanation for why matter cannot be created or destroyed
D. A prediction of how much matter exists in the universe
SUBMIT
In
Answer:
C- An explanation for why matter cannot be created or destroyed
Explanation:
Answer: A. A statement that matter cannot be created or destroyed.
Explanation:
Apex
A force of 200N acts at an angle of 140° with respect to the positive x- direction. determine the components of this force in the x- and y- direction
Answer:
The components of the force in the x and y-direction are -153.21 N and 128.56 N respectively.
Explanation:
Rectangular components of a vector
Given a vector \(\vec F\) as an ordered pair (f,θ), where f is the magnitude of the vector and θ is the angle it forms with the positive x-direction, the rectangular components of the vector are given by:
\(F_x=f.\cos\theta\)
\(F_y=f.\sin\theta\)
The force of f=200N forms an angle of θ=140°. The components of the force are:
\(F_x=200.\cos 140^\circ\)
Calculating:
\(F_x=-153.21~N\)
\(F_y=200.\sin 140^\circ\)
\(F_y=128.56~N\)
The components of the force in the x and y-direction are -153.21 N and 128.56 N respectively.
To increase the energy of an electromagnetic wave, which property should you decrease?
Shift,
Frequency
Speed
Wavelength
The increase in the energy of an electromagnetic wave can be achieved only by decreasing the wavelength. Hence, option (d) is correct.
The given problem is based on the fundamentals of electromagnetic wave and the energy stored in an electromagnetic wave.
The electromagnetic wave stores the energy in the form of radiations also known as the electromagnetic radiations. These radiations can take the several forms such as radio waves, microwaves, X-rays and gamma rays.The mathematical expression for the energy carried out by the electromagnetic waves is given as,
\(E = h \times \nu\\\\E = \dfrac{h \times c}{ \lambda}\)
Here,
h is the Planck's constant.
\(\nu\) is the frequency of the electromagnetic wave.
c is the speed of light.
\(\lambda\) is the wavelength of wave.
Clearly, the energy of electromagnetic waves is directly proportional to the frequency of wave and inversely proportional to wavelength. So, decreasing the wavelength, we can easily increase the energy of electromagnetic wave.
Thus, we can conclude that the increase in the energy of an electromagnetic wave can be achieved only by decreasing the wavelength. Hence, option (d) is correct.
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Why intermediate elements has negative packing fraction?
Explanation:
The negative value of the packing fraction indicates that the actual isotopic mass is less the mass number.
Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C
How to solve for the total distanceTo calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.
However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.
Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.
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1 The displacement of a "spring + mass" system in simple harmonic motion on a frictional less surface can be described by the expression x = A cos(3rt/T). The spring constant is k and the mass is m. Describe the potential as well as the kinetic energies of the system at the following time instances. (a) At t = 0. [2] (b) At t = T. [2] (c) At t = T/6. [2] (d) At t= T/3. [2] (e) At t = T/2. [2]
The potential and kinetic energy of the system at the following time instances is zero and maximum.
From the given,
The displacement of the system is, x = A cos(3πt/T)
1) At t =0, the displacement of the system is given by, x = cos(3π×0/T)= cos(0) = 1. The displacement is maximum at t=0. Hence, the potential energy is maximum and kinetic energy is zero.
2) At t=T, the displacement, x = cos(3πT/T)= cos(3π) = -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.
3) At t = T/6, the displacement x = cos(3πT/6T)=cos(π/2)=0, the displacement is zero, and hence, both the potential and kinetic energy is zero.
4) At t=T/3, the displacement, x= cos(3πt/T)=cos(3πT/3)= -1. The displacement is minimum and hence, the potential energy is minimum and kinetic energy is maximum.
5) At t=T/2, the displacemetn x = cos(3πt/T) = cos(3πT/2T) = cos (3π/2)=0. Hence, both the potential and kinetic energy is zero.
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A 25 kg child plays on a swing having support ropes that are 2.20 m long. A friend pulls her back until the ropes are ăÿÿfrom the vertical and releases her from rest. (a) What is the potential energy for the child just as she is released compared with the potential energy at the bottom of the swing? (b) How fast will she be moving at the bottom of the swing? (c) How much work does the tension in the ropes do as the child swings from the initial position to the bottom?
what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
A scientist claims that a certain chemical will make fabric waterproof. Which
option describes a controlled experiment that will produce evidence that will
support or refute her claim?
Answer: She adds different amounts of the chemical to the material and then puts them in the water
Explanation:
Answer: One group of fabric is treated with the chemical, and the other group is not. Then each group is exposed to water.
Explanation:
A small plane tows a glider at constant speed and altitude. If the plane does 2.00 * 105 J of work to tow the glider 145 m and the tension in the tow rope is 2560 N, what is the angle between the tow rope and the horizontal
Answer:
θ = 57.4°
Explanation:
The complete formula to find out the work done by the plane is as follows:
\(W = FdCos\theta\)
where,
W = Work = 200000 J
F = Force = Tension = 2560 N
d = distance = 145 m
θ = angle between rope and horizontal = ?
Therefore,
\(200000\ J = (2560\ N)(145\ m)Cos\theta\\\\Cos\theta = \frac{200000\ J}{371200\ J}\\\\\theta = Cos^{-1}(0.539)\)
θ = 57.4°