Using the concepts of work, we got that 0 joule is the amount of the work done during the process in which 1.2-m3 rigid tank contains nitrogen gas at 200 kpa and 350 k and heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 900 kpa.
We are given some values of the rigid tank which are
Volume of the tank (V) = 1.2 m³
Initial pressure of the nitrogen (P₁) = 200 kPa
Initial temperature of the nitrogen (T₁) = 350 K
Final pressure of the nitrogen (P₂) = 900 kPa
The volume of nitrogen gas is same as volume of tank. Now, as the tank is rigid so, the volume of nitrogen gas remains the same.
We know that,
Work done on a gas is given as: PΔV
Where, ΔV is the change in volume.
But, the volume here is constant. So, ΔV = 0.
Therefore, work done=P×0=0Joules.
Hence, if 1. 2-m3 rigid tank contains nitrogen gas at 200 kpa and 350 k and Heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 900 kpa, then the work done during this process is 0 joules.
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how much work must be done to stop a 900- kg car traveling at 110 km/h ? express your answer to two significant figures and include the appropriate units.
The work that is needed to be done to stop the car is 419.96 KJ
WorkWork in physics is the amount of energy given to move an object or objects.
We have,
The mass of the car, m = 900 kg
The initial velocity of the car, v₀ = 110 km/h = 30.55 m/s
Since the vehicle has to be stopped, the final velocity will be v' = 0.
Now, we know that
The work done to stop the car will be = Kinetic energy possessed by the car
W = Δ K.E
W = [Final K.E.] – [Initial K.E.]
= ½ (m) {(v')² - (v₀)²]
Substituting the given values in the above formula, we get
= ½ (900) {(0)² - 30.55)²]
= (450) (933.30)
= 419,986.12 J = 419.96 KJ
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As you hold your leg in this position, the upper leg exerts a force on the lower leg at the knee joint. What is the magnitude of this force?
The upper leg applies the exact same amount of force on the knee as the tendon applies on the lower leg. f = 215.6 N
This is only logical as the net result of these forces is the canceling out and the leg staying stable in its position.
The magnitude of a force is how much it accelerates the object it acts on and is represented by a scalar. Size can also be viewed as a strength. Riding a bicycle is a simple example of force magnitude. It is a simple machine that converts human-supplied energy into kinetic energy.
The force exerted on the pedal results in the formation of energy. Work is done to convert this energy into kinetic energy and move the bicycle forward. Force magnitude describes the sum of all forces acting on an object. If all forces act in the same direction the force magnitude increases. If forces act on an object in different directions the magnitude of the force will decrease.
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A ball rolls across a table at a constant speed for 0.62 m. It then falls onto the floor. It takes the ball 0.35 seconds to cover the 0.62 m path, as shown in the drawing below. The table top is 1.2 meters above the floor. Find x the distance that the bail travels horizontally after it eaves the table top.
Answer:
Explanation:
Missing drawing!
If the sprinter from the previous problem accelerates at that rate for 20. 00 m and then maintains that velocity for the remainder of a 100. 00-m dash, what will her time be for the race?.
The time taken to finish the race by using uniform motion is 120 /v seconds.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
s = 20 m
x = 100 m
vo = 0 m/s
Assume that the final velocity is v
vt = v m/s
Find the time needed to reach the velocity
s = vo . t + 1/2 . a . t²
20 = 0.t + 1/2 . v/t . t²
20 = v . t/2
t = 40 / v seconds
remaining distance = x - s
remaining distance = 100 - 20 = 80 m
remaining time = remaining distance / v
remaining time = 80 / v
Find the time taken to finish all of the race
total time = t + remaining time
total time = 40/v + 80/v
total time = 120 /v seconds
where v is the terminal velocity.
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describe the path created by time safari inc. what is the purpose of this path? 4. what might happen if someone steps off of the path?
What is path?
Distance is the term used to describe how far an automobile will go to get from one place to another; it is also referred to as the path length. If it chooses the shortest route, though, it becomes the displacement. A car's displacement is sometimes defined as the difference between its original and final positions.Everywhere we turn, we can see things moving. Children play, birds soar, animals forage for food, people stroll or run, cars speed down the highway, rivers flow, etc. In essence, motion exists everywhere in the cosmos.However, The body's actual path length between its initial and final positions is known as the path length.
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3. A luxury ship cruises at Miami, Florida at 150 mph and is brought to a stop uniformly by a motor
boat in 500 ft. Find the (a) acceleration and (b) the time required to stop.
Given:
a) Acceleration is calculated as 29.54 m/s^2
b) Time required to stop is calculated as 2.27 seconds
What is acceleration?The rate of change of the velocity of an object with respect to time is called as acceleration and it is a vector quantity. Acceleration is the rate at which velocity changes with time in terms of both speed and direction. An object moving in a straight line is accelerated if it's speed goes up or down.
Given, speed = 150 mph
1mph = 0.447 m/s
150mph = 67.056 m/s
and distance = 500 ft
1ft = 0.30 m
500 ft= 152.4 m
time= distance / speed
= 152.4/ 67.056
= 2.27 sec
Acceleration= velocity/ time
= 67.056/2.27
Acceleration = 29.54 m/s^2
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. A stone is thrown from ground level vertically upwards with a velocity of 40 m/s.
Find the maximum height to which the stone rises and its total time of flight, neglecting
air resistance.
Explanation:
maximum height to which the stone can reach is 80 m
h=80
total distance = 2h
= 160 m
The total distance travelled by the stone would be the distance it covered while moving up and then the distance it covered while coming back down.
how fast does water flow from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water? ignore viscosity.
The speed of water flowing from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water is 11.29 m / s
v = √ 2 g h
v = Speed of water
g = Acceleration due to gravity
h = Height
g = 9.8 m / s²
h = 6.2 m
v = √ 2 * 9.8 * 6.5
v = √ 127.4
v = 11.29 m / s
This is derived from an equation of motion,
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
a = Acceleration
s = Distance
u = 0
v² = 2 a s
v = √ 2 a s
Therefore, the speed of water flowing from a hole at the bottom of a very wide, 6.2- m -deep storage tank filled with water is 11.29 m / s
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how do atomic structures determine the properties of a substance?
Answer:
the number of protons (atomic number) determines the chemical properties of the atom
Explanation:
Answer:
The number of protons in an atom determines its chemical properties.
Explanation:
An atom is composed of a nucleus and electrons that go around it. The nucleus is composed of protons with a positive charge and neutrons without charge, and the number of protons (atomic number) determines the chemical properties of the atom (element type)
if it requires 5.0 j of work to stretch a particular spring by 2.0 cm from its equilibrium length, how much more work will be required to stretch it an additional 4.0 cm ?
2.5 J work will be required to stretch it an additional 4.0 cm.
Work done is elaborated in such a manner that it consists of each force exerted on the frame and the full displacement of the frame. This block is preceded by using a regular force F. The purpose of this pressure is to transport the body a certain distance d in an immediate course inside the path of the pressure.
The work is stated to be accomplished while force is implemented on an object's movements via a distance within the route of the utility of pressure. Scientists use the joule to measure work. One joule is the same as the paintings achieved by way of a force of one newton to move an item one meter in the path of the force.
Calculation:-
Work done is inversely proportional to the distance,
W₁/W₂ = L₂/L₁
W₂ = W₁L₁/L₂
= 5 × 2 /4
= 2.5 J
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when a 2.5 g penny is placed on a turntable rotating at 33 rpm (revolutions per minute), it is found that the farthest away from the center of the turntable that it can be located without slipping off is 10 cm. what is the coefficient of static friction between the penny and the surface of the turntable?
The coefficient of static friction between the penny and the durcae of the turntable is 11.9.
The mass of the penny on the turntable rotating at 33 rpm is 2.5 grams. The penny was found to be located at a distance of 10cm from the center of the turntable.
Now, friction force on the penny will be.
Fr = uW
W is the weight of the penny,
u is the coefficient of friction.
The centripetal force on the penny will be,
F = Mw²r
m is the mass of penny,
w is the angular speed,
r is the distance of the penny from the center.
Now, if the penny stops,
Fr = F
so, we can write,
uW = Mw²r
Putting values,
u(2.5 x 10) = 2.5 x (3.45)² x 0.10
u = 11.9
The value of the coefficient of static friction between the penny and the surface of the turntable is 11.9.
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an object is revolving uniformly in a horizontal circle of radius 1.0 m with a speed of 1.0 m/s, calculate its centripetal acceleration. g
The centripetal acceleration is 1 m/s^2 .
Centripetal force is applied when there is a object revolving in circular path. This path is applied in the opposite direction of the center of the circular path and also this would be perpendicular to the velocity direction.
The value of centripetal force is
Fc = [tex]\frac{mv^{2} }{r}[/tex]
where m is the mass of the object
v is the velocity and r is the radius of the object.
Now as we know that
F = ma
where a is the acceleration
so we can write that
a = v^2/r
putting the values, we get
a = 1^2/1
a = 1/1
a = 1 m/s^2
Hence the centripetal acceleration is 1 m/s^2.
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A body of mass M moving with velocity V collides head on with another body of mass 2M which is initially at rest. Determine the ratio of kinetic energy of colliding bodies before and after collision 
The ratio of kinetic energy of colliding bodies before and after collision is 9:1
What is kinetic energy?Kinetic energy refers to be the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.
Kinetic energy of the body before collision (KE₁): ¹/₂ mv²
Velocity (v') after collision:
v' = [(m₁ - m₂)/(m₁ + m₂)] v
Since, m₁ = 2m
m₂ = m
Substitute the values in the formula:
v' = [m/3m]v
v' = v/3
Now, kinetic energy after collision (KE₂): ¹/₂ mv'²
= ¹/₂ m(v/3)²
= ¹/₂ m(v²/9)
Now the ratio of kinetic energies:
KE₁ / KE₂ = (¹/₂ mv²) / (¹/₂ m(v²/9))
KE₁ / KE₂ = 9/1
Or 9:1
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According to newton’s first law of motion, an object in motion will stay in at the same speed and direction unless acted upon by what kind of force?.
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.
A force is an effect that can alter an object's motion according to physics. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force.
A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to the rate at which its momentum changes over time, according to Newton's second law in its original formulation.
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if the car speeds up at a steady 1.7 m/s2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
Using the theories of centripetal acceleration, we got that 9.388 sec after the starting magnitude of its centripetal acceleration equal to the tangential acceleration.
We know that centripetal acceleration is given by =v²/r,
where v is the velocity along curved road and r is the radius of the curved road.
We have from the question, Acceleration (a) = 1.7m/sec²
Radius(R) = 150 m
Therefore,
a=v²/r
=>1.7=v²/150
=>v²=1.7×150
=>v²=255.0
=>v = 15.96 m/sec
Now, we know that the formula for tangential acceleration is the product of acceleration and its time ,which means
v = a x t
15.96 = 1.7 x t
t = 9.388 sec.
Hence, if the car speeds up at a steady 1.7 m/s2 , the time after starting when the magnitude of its centripetal acceleration equal to the tangential acceleration is 9.388 sec
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if the capacitor and inductor in part a are connected in an l-c circuit, what will be the resonance angular frequency of that circuit?
What is Angular frequency?
The length of time it takes an item to complete one oscillation is called the time period.The shortest angle an item makes when spinning in a circle from its starting location to its stopping position is known as the angular displacement.In other terms, you may say that it is the rate at which rotation changes or the pace at which changes in sinusoidal waves occur. It is the angular displacement of a wave element per unit of time. For instance, if you describe an object as having a high angular frequency, you are describing how quickly it turns. The size of the angular velocity is known as the angular frequency.However, it is a scalar quantity, meaning that it lacks direction.
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The ability of a covalently bonded atom to attract the shared electrons is called.
Electronegativity is the capacity of a covalently connected atom to draw the shared electrons.
The capacity of an atom to draw the shared electrons from a covalent connection to itself is known as electronegativity. If the electronegativity of the linked atoms is the same, then the shared electrons will be distributed evenly. The electrons in a bond will not be distributed evenly if one of the atoms is more electronegative and hence attracts more of the bond's electrons. The more electronegative atom will "take" the electrons, resulting in two ions and an ionic connection, if the difference in electronegativity is great enough to prevent any sharing of the electrons.
Think of a tug-of-war match. The rope remains in the middle if the two teams are of equal strength. The rope is tugged in the direction of the team that is more powerful. The rope eventually ends up on the side of the stronger team if one team is much stronger than the other. If this happens, the weaker team is no longer able to hold onto the rope. Chemical bonding are comparable to this. The electrons are shared evenly if the electronegativity of the two bonding atoms is equal. The bond's electrons are more drawn to an atom if it has a higher electronegative charge. The electrons won't be shared, leading to an ionic bond, if one atom is much more electronegative than the other atom.
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1 how much work must denise do to drag her basket of laundry of mass 5.0kg a distance of 5.0 m along a floor, if the forse she exerts is a constant 30.0 n at an angle of 60.0 degrees with the horizontal?
The amount of work done by denise to drag her basket of laundry of mass 5 kg is 75 J.
Work is defined as the product of distance and force.
To calculate the amount of work done by denise to drag the basket, we use the formula below.
W = Fd cosθ
where, W is the work done by the denise
F is the force applied to the basket
d is the distance
θ is the angle made with the horizontal
Given that, F = 30 N
d = 5 m
θ = 60°
Substituting the values in the above equation,
W = 30* 5* cos 60° = 75 J
Thus, work done by the denise is 75J.
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A stone p,thrown upward with an velocity 20m/s.At the sametime and 30m vertical above, a second stone is released. After what time and at what height do they collide(g=10ms‐²)
The time and height at which they collide at 1 second and 15 m respectively when the stone is thrown upward with a velocity of 20m/s.
Let ball A be at the bottom and ball B be at the top.
Assume that you are sitting at B and watching A move.
You (B) appear to be content with yourself. However, both you (B) and A are accelerating in the same general direction. So, the acceleration of A relative to you (B) is 0.
As a result, A will appear to be approaching you uniformly moving at 20 m/s toward you.
A reaches you (B) in 1 second if the distance of 20 meters is divided by that speed.
Now that you have assumed you were stationed at B, you have thought about these motions and time. However, whichever reference frame you use, the time it takes for A to reach B shouldn't vary.
The collision between A and B occurs in 1 second.
Assuming g = 10 m/s2,
B falls freely and travels a distance of 1/2(g)([tex]1^{2}[/tex])=5.
They thus collide at a height of (20-5)m, or 15m, above the earth.
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The ability of a covalently bonded atom to attract the shared electrons is called.
Electronegativity is the ability of covalently bonded atom to attract the shared electrons .
What is covalent bond ?
Covalent bond, in chemistry, an interatomic bond formed by sharing a pair of electrons between two atoms. Bonding occurs through the electrostatic attraction of atomic nuclei to the same electrons. A covalent bond is formed when the combined atoms have a lower total energy than the atoms separating them. Covalently bonded molecules include the inorganic substances hydrogen, nitrogen, chlorine, water, and ammonia (H2, N2, Cl2, H2O, NH3) and all organic compounds. In structural representations of molecules, bonds are indicated by solid lines connecting pairs . Covalent bonds are directional. That is, the bonded atoms prefer a particular orientation to each other. This gives the molecule a particular shape, like the angled (bent) structure of the H2O molecule.
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a 4.50-kg object moves through a distance of 13.8 m as it slows down uniformly from 22.0 m/s to 13.5 m/s. what is the magnitude of the acceleration of the ball?
The magnitude of the acceleration of the ball is 25.3 m/s²
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
Calculation:-
v² = u² -2as
13.5² = 22² - 2a × 13.8
1182.25 - 484 = - 27.6a
698.25/27.6 = -a
a = - 25.3 m/s²
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how much work must be done on a particle with a mass of m to accelerate it from rest to a speed of 0.089 c ? express your answer in terms of mc2 .
0.14 mc² work is done on a particle with a mass of m to accelerate it from rest to a speed of 0.089 c
Define kinetic energy.A particle or an item that is in motion has a sort of energy called kinetic energy. When an object undergoes work, which involves the transfer of energy, by exerting a net force, the object accelerates and thereby gains kinetic energy.
kinetic energy of mass particle: KE = mc²( γ- 1 )
here γ is Lorentz constant
γ = [tex]\frac{1}{\sqrt{1 - \frac{v}{c}^{2} } }[/tex]
γ = [tex]\frac{1}{\sqrt{1 - \frac{0.089c}{c}^{2} } }[/tex]
γ = 1.14
here,
particle start from rent so initial KE = 0
and final KE = mc²(1.14 - 1 )
final KE = 0.14mc²
so,
work done to increase speed of particle
W = final KE - initial KE
Work = 0.14 mc²
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Brain waves that are lowest in frequency and highest in amplitude are called _____________ waves.
Brain waves that are lowest in frequency and highest in amplitude are called delta waves.
What are brain waves?Brain waves such as alpha waves or delta waves refer to the oscillations in the electrical differential of potential from different parts of the brain, which occur as a differential due to the action that an individual is making and it may indicate the brain areas working in a particular activity such as sleep.
Therefore, with this data, we can see that brain waves depend on the differential electrical potential that produces oscillations in the brain in response to the activity of different parts of our brain.
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A hypothetical wave has 6. 6 j of energy. What is its hypothetical, approximate frequency?.
The approximate frequency is 9.96 × ³³ s-1
Solution:
Hypothetical wave energy = 6.6 J
Hypothetical wave frequency =?
E = HV
v = E / h
Where,
E = energy in joules
h = plank's constant & = 6.626 × 10-34 J.s
v = frequency in s-1
On substituting the values in the above formula :
v = E / h
v = 6.6 J / 6.626 × 10-34 J.s
v = 0.996 × 1034 s-1
v = 9.96 × 1033 s-1
Hence hypothetical wave frequency is = 9.96 × 10³³ s-1.
Count the markers to determine the frequency of each class. The relative frequency of a data class is the percentage of data items in that class. A joule is a unit of energy in the International System of Units. This is the work done when a force of 1 Newton displaces a mass 1 meter in the direction of the applied force.
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a measurement was made of the magnetic field due to a tornado, and the result was 15.50 nt to the north. the measurement was made at a position 8.70 km west of the tornado. what was the magnitude (in a) and direction of the current in the funnel of the tornado? assume the vortex was a long, straight wire carrying a current.
674.25 A current is flowing along the funnel of tornado.
Explain magnetic field around a current carrying straight wire?All known magnetic fields are due to current charges (or charges in motion). A wire carrying current produces a magnetic field due to the movement of charges within the conductor. Magnetic field lines around a long wire carrying current form concentric circles around the wire.
Assuming the vortex was a long, straight wire carrying a current,
Magnetic field (B) = 1.55 × 10⁻⁸ T
Radius of tornado (R) = 8700 m
Current in the funnel (I) = ?
For a current carrying straight conductor:
∫BΔL = μ₀I
B(2πr) = μ₀I
I = B(2πr)/μ₀
μ₀ = 4π × 10⁻⁷ H/m
I = 1.55 × 10⁻⁸ (2×3.14×8700)/4π × 10⁻⁷
I = 674.25 A
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a current of 6.51 a6.51 a in a solenoid of length 11.0 cm11.0 cm creates a 0.341 t0.341 t magnetic field at the center of the solenoid. how many turns does this solenoid contain?
The number of turns this solenoid contains is 4422 turns.
The magnetic field is the location around a magnet wherein the effect of magnetism is felt. We use the magnetic subject as a device to explain how the magnetic force is distributed inside the space around and within some thing magnetic in nature.
The Earth's magnetic field does now not directly affect human health. human beings advanced to live on the earth. high altitude pilots and astronauts can experience higher degrees of radiation for the duration of magnetic storms, however, the risk is due to the radiation, no longer the magnetic area itself.
Magnetic fields are produced via transferring electric powered fees. the entirety is made up of atoms, and every atom has a nucleus fabricated from neutrons and protons with electrons that orbit around the nucleus. for the reason that orbiting electrons are tiny moving costs, a small magnetic field is created around every atom.
Calculation:-
B = uNI/L
⇒ 339 = (4pi X 10^-7)(6.71)(N)/.11
⇒ N = 4422 turns
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what is the total magnification of a microscope with two lenses when one lens has a magnification of 10x, and the other lens has a magnification of 30x?
The total magnification of a microscope or set of lenses is 300x.
Magnification is the process of enlarging an object's image in relation to its size using a mirror, whether it be convex or concave.
There is no unit for magnification. The fact that it is a measurement ratio is the cause. It is the proportion of an object's size to that of an image.
Calculating the overall magnification is straightforward math once each lens's specific magnification is known. Add the combined magnification of the lenses.
Given
magnification of the first lens, l1 = 10x
magnification of the second lens, l2 = 30x
Total magnification = product of the magnification of all the lenses.
Thus, to compute the total magnification of a microscope, multiply the two lenses' magnification powers.
Consequently, the lenses' combined magnification will be - 10*30.
Thus the total magnification of a microscope or set of lenses is 300x.
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a resistor dissipates 1.5 w when it is connected to a battery with a potential difference of 12 v. what is the resistance of the resistor?
Answer:
96 Ω
Explanation:
Power = V^2 / R
1.5 = 12^2 / R
R = 12^2 / 1.5 = 96 Ω
predict how you think two inductors in series will act as an equivalent inductor. will they add together, add as 1/l or some other relationship?
The total inductance of inductors connected in series is equal to the sum of the inductances of the individual inductors.
Briefing:
The amount of voltage dropped across an inductor for a specific rate of current change through it is the undisputed indicator of inductance.
The total voltage reduced as a result of a change in current will be additive with each inductor if inductors are linked in series (sharing the same current and experiencing the same rate of change in current), resulting in a higher total voltage than either of the individual inductors alone. Greater inductance results from higher voltage at the same rate of current change.
As a result, the overall inductance of a series of inductors is greater than the sum of the inductances of each individual inductor. Similar to how series resistances are calculated, the series total inductance formula takes the same form:
L(total) = L1+L2+L3….Ln
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when the ball is at its lowest point, is the tension in the string greater than, less than, or equal to the ball's weight?
When the ball is at its lowest point, the tension in the string is greater than the ball's weight.
Stretching, stretching behaviour, or the state of being stiffly stretched. muscle tensing: stress perception 1b. : one or both of two counteracting forces that induce or tend to cause extension.
Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The best demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when a pull force is applied to it.
The pressure inside a vessel, such as the pressure in the blood vessels (blood pressure). For instance, hypertension is the medical term for high blood pressure. Stress, particularly when it manifests as tensed scalp muscles, bottled-up emotions, or anxiety.
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