C. No.
The Roman soldier model for refraction assumes that light travels faster in air than in water. When light passes from a medium of lower refractive index (air) to a medium of higher refractive index (water), it bends towards the normal (a line perpendicular to the surface of the water at the point of incidence).
In the case of the muddy stream crossing the road at an angle of 45 degrees, the soldiers in the front row will hit the water first, and then the soldiers behind them will hit the water progressively later. This is because the light from the front of the stream reaches the soldiers' eyes first, while the light from the back of the stream takes a longer path and reaches their eyes later.
Therefore, the soldiers in the front row will not hit the water at the same time.
Part G
List several examples of applied force, normal force, and friction?
Examples of following forces mentioned -
Normal Force :- Book kept on the table , Girl standing on floor, ...infact every object experience a normal force in the universe.Applied Force :- this term literally means force responsible for the movements in the object or changes in the object , like throwing stones , playing ball , pushing an object , moving a pen from desk to chair..etc...Friction force :-Force responsible for the resistance in the flow of system's work , For example air resistance a type of obstruction experienced in air when a Paper ball is thrown from terrace of a society , Viscosity of honey is also an example of liquid friction / viscous drag...Sometimes friction is useful for the stability of universe. But some times its necessary. It is due to this force we walk without collapsing into the core of earth as earth is a market of gravitational field. To substantiate the field effect , friction is necessary to necessitate the life in planet. Rubbing of hands in winter season is also another example.To Know more about different forces -
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The speed of a box traveling on a horizontal friction surface changes from vi = 13 m/s to vf = 11.5 m/s in a distance of d = 8.5 m. If the box has a mass of 1 kg, what is the average power supplied to the box by friction while it slows from 13 m/s to 11.5 m/s?
The average power supplied to the box by friction while it slows from 13 m/s to 11.5 m/s is 3.24 W.
Acceleration of the box
The acceleration of the box is calculated as follows;
vf² = vi² + 2as
a = (vf² - vi²)/2s
a = (11.5² - 13²) / (2 x 8.5)
a = -2.16 m/s²
Time of motion of the boxThe time taken for the box to travel is calculated as follows;
a = (vf - vi)/t
t = (vf - vi) / a
t = (11.5 - 13) / (-2.16)
t = 0.69 s
Average power supplied by the frictionP = Fv
P = (ma)(vf - vi)
P = (1 x -2.16) x (11.5 - 13)
P = 3.24 W
Thus, the average power supplied to the box by friction while it slows from 13 m/s to 11.5 m/s is 3.24 W.
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what is the net force in this image?
Answer:
-15 as it inverse to gravity
the direction of big force
When doing work, a reduction in effort is generally accompanied by a. no change in the distance b. a decrease in the distance covered by the effort c. a decrease in height d. an increase in the distance covered by the effort
When doing work, a reduction in effort is generally accompanied by a decrease in the distance covered by the effort which is therefore denoted as option B.
What is Effort?This is referred to as a type of an applied force which brings the desired change to the position of the load or object.
In a situation whereby an individual who is doing work reduces the effort involved in moving the object then there will most likely be a decrease in the distance covered by the effort which is therefore the reason why option B was chosen as the correct choice.
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7.5 h
A plane traveled for about 2.5 hours at a velocity of 1,200 km/h. What distance did
it travel?
750 km?
The distance traveled by plane flying at 1200 Km/h for 2.5 hours is 3000 Km.
Velocity is a vector quantity. It has both a direction and a magnitude. Speed is used to calculate the magnitude of velocity. The meter per second is the S.I. unit for this. The units km/h and km/s are additional units. [LT-1] is the dimensional equation for it.
The distance traveled by the object is calculated as the product of the velocity with which it was moving and the time interval for which the distance covered is calculated.
Distance traveled = Velocity × Time
Given in the question
Velocity of the plane = 1200 Km/h
Time Traveled = 2.5 h
Put in the value, we get
Distance traveled = 1200 × 2.5
Distance traveled = 3000 Km
Hence, the distance traveled by plane flying at 1200 Km/h for 2.5 hours is 3000 Km.
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You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
Given a uniform plane wave in air as. Ei = 30 cos(wt - Bz)ax +40 sin(wt - Bz)ay V/m. i. Find H₁ (4 mks)
ii. If the wave encounters a perfectly conducting plate normal to the z-axis at z = 0,find the reflected wave E, and H, (8 mks) iii.The transmitted wave. (3 mks)
Reflected wave E: -30 cos(wt - Bz)ax - 40 sin(wt - Bz)ay V/m
Reflected wave H: (1/377) x (-30 cos(wt - Bz)ax - 40 sin(wt - Bz)ay)
Transmitted wave E: 0 V/m
Transmitted wave H: 0
To find H₁, we can use the relation between electric field (E) and magnetic field (H) in a uniform plane wave in free space. The relation is given by:
H = (1/η) x E
where η is the intrinsic impedance of air, which is approximately 377 ohms. Given the electric field Ei = 30 cos(wt - Bz)ax + 40 sin(wt - Bz)ay V/m, we can calculate H₁ as follows:
H₁ = (1/377) x Ei
Substituting the values, we have:
H₁ = (1/377) x (30 cos(wt - Bz)ax + 40 sin(wt - Bz)ay)
When the uniform plane wave encounters a perfectly conducting plate normal to the z-axis at z = 0, it gets reflected. The electric field and magnetic field of the reflected wave can be found using the boundary conditions for a perfect conductor. The reflected wave has the same magnitude as the incident wave, but the direction of the electric field is reversed.Therefore, the reflected electric field Er = -30 cos(wt - Bz)ax - 40 sin(wt - Bz)ay V/m.
Using the same relation as before, we can find the reflected magnetic field Hr:
Hr = (1/377) x Er
Substituting the values, we have:
Hr = (1/377) x (-30 cos(wt - Bz)ax - 40 sin(wt - Bz)ay)
The transmitted wave occurs when the incident wave passes through the conducting plate. Since the plate is a perfect conductor, the transmitted wave is completely absorbed, and there is no transmission through the plate. Therefore, the transmitted wave has zero electric field and magnetic field.
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How does increasing the starting height affect the final speed?
Answer:
To investigate into how the height of a ramp affects the speed of a toy car rolled down a hill or slope because the higher the ramp the more Gravitational potential Energy (GPE), the more kinetic energy converted and the car will go faster. So the ramp increases, the velocity will also increase.
Explanation:
A 0.1 kg tennis ball is brought from a speed of 15 m/s to a speed of 45 m/s when hit by a tennis racket. If this done over 0.05 seconds, what is the power generated by the tennis racket
27. The number of coils of wire through which a bar magnet is moved is increased. The
amount the needle on the meter is deflected
A. increases
B. decreases
C. shows no change
D. does not move at all
The amount the needle on the meter is deflected A. increases
This phenomenon can be explained by Faraday's law of electromagnetic induction. According to this law, when a magnetic field (created by the bar magnet) passes through a coil of wire, it induces an electric current in the wire. This induced current generates its own magnetic field, which interacts with the magnetic field of the bar magnet.
The deflection of the meter needle is a result of this induced current. When the number of coils of wire is increased, there is a greater number of wire loops for the magnetic field to pass through. This leads to a stronger induction of electric current, resulting in a larger deflection of the meter needle.
By increasing the number of coils, more magnetic flux is linked with the wire, resulting in a higher induced electromotive force (emf) and a greater current. This increased current produces a stronger magnetic field around the wire, leading to a larger deflection on the meter. Therefore, increasing the number of coils of wire enhances the magnetic field interaction, resulting in an increased deflection of the meter needle. Therefore, Option A is correct.
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Question 4 of 10
Which of the following describes the reactants of a chemical reaction?
OA. The chemicals on the right side of a chemical equation
B. The substances that are formed
OC. The substances that are made
O D. The chemicals on the left side of a chemical equation
The substances that are altered and the chemicals on the right side of a chemical equation are the results of a chemical reaction. B and D are the appropriate choices.
Reactants are the substance(s) in a chemical equation to the left of the arrow. A component that is present at the outset of a chemical reaction is known as a reactant. Products are the substance(s) to the right of the arrow. A substance that remains after a chemical reaction is complete is known as a product. The creation of products from the reaction of two reactants is known as a chemical reaction. The compounds that result from a reaction are called products. The substances that are original materials are the reactants.
On the left side of the reaction are the reactants, and on the right are the products. B and D are the proper choices as a result.
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an artist uses a ratio that compares the length and width of an average human face. Which type of model is this?
Answer:
Mathematical
Explanation:
The answer mathematical because you comparing the length and width of an average human face. I hope this helps you out.
WILL GIVE BRAINLIEST
the two forces to the right are friction which one would be the force of kinetic friction?
Answer:
40 N
Explanation:
Both forces to the right are friction forces. The 40 N force has to be the kinetic friction force because kinetic friction is always less than static friction. So, the 80 N force has to be the static friction force, which is always greater than the kinetic friction.
. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification
The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.
Given:
Object height (h) = 5 cm
Focal length of the convex lens (f) = 10 cm
Object distance (u) = 15 cm (positive since it's on the same side as the incident light)
To determine the nature, position, and size of the image, we can use the lens formula:
1/f = 1/v - 1/u
Substituting the given values:
1/10 = 1/v - 1/15
To simplify the equation, we find the common denominator:
3v - 2v = 2v/3
Simplifying further:
v = 30 cm
The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.
To find the magnification (M), we use the formula:
M = -v/u
Substituting the values:
M = -30 / 15 = -2
The magnification is -2, indicating that the image is inverted and twice the size of the object.
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PLEASE HELP ASAP
A golf ball is hit horizontally off the edge of a 30 m high cliff and lands
distance of 25 m from the edge of the cliff.
1. What is the initial vertical velocity of the golf ball?
2. At what time did the golf ball hit the ground?
3. What was the initial horizontal velocity of the golf ball?
4. What was the final horizontal velocity of the golf ball?
Answer:
1. Initial vertical velocity its 0m/s
2. 2.47 seconds
3. 10.12 m/s
4.10.12 m/s
Explanation:
Remember that we have here two parts of a problem, first we know that the ball made a free fall of 30 meters, since the ball was hit horizontally and doesn't state otherwise the vertical velocity is 0. To calculate the time we just use 30 m as our Height and use the formula for vertical distance on free fall:
\(H=\frac{g*t^{2} }{2} \\\)
Now we just solve for time:
\(t=\sqrt{\frac{2H}{g} }\)
With this we just insert the values we know:
\(t=\sqrt{\frac{2H}{g} }\\t=\sqrt{\frac{2*30}{9.81} }\\t=2.47\)
Now we know that the ball was 2.47 seconds in the air, so the ball hti the ground at the second 2.47.
To calculate the velocity of the ball we just need to divide the horizontal distance covered by the time it spent on air:
\(v=\frac{d}{t} \\v=\frac{25}{2.47} \\v=10.12\)
The final and initial horizontal velocity of the ball would be the same since nothing states otherwise, of course the hitting of the ground would decrease its velocity but since nothing is said in the problem it is not considered.
1. The initial-vertical velocity of the golf ball is equal to zero because the ball would start its motion from a stationary position (at rest).
2. The time it took the golf ball to hit the ground is 2.47 seconds.
3. The initial-horizontal velocity of the golf ball is 10.12 m/s.
4. The final-horizontal velocity of the golf ball is 10.12 m/s.
Given the following data:
Maximum height = 30 meters.Horizontal distance = 25 meters.1. The initial-vertical velocity of the golf ball is equal to zero because the ball would start its motion from a stationary position (at rest).
2. To determine the time it took the golf ball to hit the ground:
At maximum height, time is given by the formula:
\(Time = \sqrt{\frac{2H}{g} }\)
Where:
g is the acceleration due to gravity.H is the maximum height.Substituting the given parameters into the formula, we have;
\(Time = \sqrt{\frac{2\times 30}{9.8} }\\\\Time = \sqrt{\frac{60}{9.8} }\\\\Time =\sqrt{6.12}\)
Time = 2.47 seconds.
3. To determine the initial-horizontal velocity of the golf ball:
\(Horizontal\;velocity = \frac{Horizontal\;distance}{Time} \\\\Horizontal\;velocity = \frac{25}{2.47}\)
Initial horizontal velocity = 10.12 m/s.
4. To determine the final-horizontal velocity of the golf ball:
The initial-horizontal velocity and final-horizontal velocity of the golf ball would be the same.
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Consider the two vectors A and B. You know the magnitudes of these vectors (lmand 10 m respectively), but you do not know anything about their directions ca ment Status here for 9 H a vector is defined to be the sum of these two vectors CHA+B) which of the following are true about the magnitude of C7 Choose all that apply C. cannot be determined Grade Summary Cain
A. The magnitude of C can be determined.
D. The magnitude of C is between 1m and 10m.
When two vectors are added, the magnitude of the resulting vector can be found using the law of cosines. For the vectors A and B, the magnitude of their sum C is given by:
|C|² = |A|² + |B|² + 2|A||B|cosθ,
where θ is the angle between the vectors A and B. Since the directions of A and B are unknown, θ could take any value between 0 and 180 degrees. However, the minimum value of cosθ is -1, which occurs when θ = 180 degrees. Therefore, the minimum magnitude of C is:
|C|min = |A| - |B| = 1 m - 10 m = 9 m.
The maximum value of cosθ is 1, which occurs when θ = 0 degrees. Therefore, the maximum magnitude of C is:
|C|max = |A| + |B| = 1 m + 10 m = 11 m.
Therefore, the magnitude of C is between 1m and 10m, and it can be determined.
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correct question
Which of the following statements are true about the magnitude of the vector C, which is defined as the sum of two given vectors A and B with magnitudes 1m and 10m respectively, but unknown directions? (Choose all that apply.)
A. The magnitude of C can be determined.
B. The magnitude of C is less than 10m.
C. The magnitude of C is less than 1m.
D. The magnitude of C is between 1m and 10m.
E. The magnitude of C is greater than 11m.
The surface tension of the alcohol propanol in air has a value of 23.70 units
and the surface tension of water in air is 72.80 units. Which two statements
are true?
A. Propanol will have a flatter meniscus than water because the
forces between the molecules are smaller.
B. Propanol will have a higher boiling point than water because the
forces between the molecules are greater.
C. Propanol will have a more curved meniscus than water because
the forces between the molecules are greater.
D. Propanol will have a lower boiling point than water because the
forces between the molecules are smaller.
Answer:
A & D your welcome
Propanol surface is more flattered and has less boiling point than that of water.
To determine the correct statements among all the statements, we need to know about the surface tension.
What is surface tension?Surface tension is defined as force per unit length.More the surface tension, more the force between the molecules to keep the molecules together.What does happen, if molecules have more force of attraction?If the molecules have large force of attraction, more heat will be required to break the bonds between them. So the boiling point increases. Also with more force of attraction, the surface of the liquid becomes less flattered.Since, propanol has less surface tension than that of water, so its surface is more flattered and has less boiling point than that of water.
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Do this question by electric flux
A conducting sphere of radius 10cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is \(1.5*10^{3}\) N/C and points radially inwards what is the net charge on the sphere.
Answer:
To find the net charge on the sphere using electric flux, we can use the formula:
Φ = Q/ε0
Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.
Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:
E = kQ/r^2
Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.
Substituting the given values, we get:
20 = (1/4πε0)(Q)/(0.2)^2
Solving for Q, we get:
Q = (20)(0.2)^2(4πε0)
Q = 0.64πε0 C
Now, substituting this value of Q in the formula for electric flux, we get: Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C
Therefore, the net charge on the sphere is 0.64π C.
10 POINTS
Which type of electromagnetic radiation is used in airport security screening?
O A. X-rays
• B. Ultraviolet radiation
• C. Gamma rays
O D. Infrared radiation
SUBMIT
Answer:
A) X-rays
Explanation:
Airport security screenings use X-rays because they can penetrate through bags to see objects that are located within that are obscured through normal view.
X- rays are used to test body in airports. Low energy waves are used to screen baggages and human body. Thus option A is correct.
What is electromagnetic radiation ?Electromagnetic spectrum is the arrangement of radiations in the order of decreasing wavelength or increasing energy and frequency. The order is radio waves, microwaves, infrared, visible, ultraviolet, x-rays and gamma rays.
x -rays are highly energetic short waves which can be easily penetrate through a body. X-ray is used in different diagnostic techniques. X-rays easily penetrate through tissues and provide the scanned images of internal parts.
In airport security screening x-rays are used to screen baggages and human bodies. High energetic waves are causing serious health risks. Hence, lower energy x-rays are used in testing.
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a man runs at 7.5m/s-1 due east across the deck of a ship which means at 10.0ms-1 due north determine the resultant velocity of the man relative to the water
Show working??
The resultant velocity of the man relative to water which moves at 10 m / s is 12.5 m / s at 53° N of E
Velocity of man = 7.5 m / s E
Velocity of ship = 10 m / s N
Since these velocities are at right angles, the resultant velocity forms a right angled triangle. Using Pythagoras' theorem,
Resultant velocity = √ ( Velocity of man )² + ( Velocity of ship )²
Resultant velocity = √ ( 7.5 )² + ( 10 )²
Resultant velocity = √ 56.25 + 100
Resultant velocity = √ 156.25
Resultant velocity = 12.5 m / s
tan θ = Velocity of ship / Velocity of man
θ = \(tan^{-1}\) ( 10 / 7.5 )
θ = \(tan^{-1}\) ( 1.33 )
θ = 53° N of E
Therefore, the resultant velocity of the man relative to water is 12.5 m / s at 53° N of E
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Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?
OF
The mass of Car B is -6000 kg.
To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
Therefore, we can write the equation for the conservation of momentum as:
(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision
Let's substitute the given values into the equation:
(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)
Simplifying the equation:
20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)
Dividing both sides by -5 m/s:
-4000 kg = 2000 kg + mass of Car B
Subtracting 2000 kg from both sides:
mass of Car B = -4000 kg - 2000 kg
mass of Car B = -6000 kg
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When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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Question 1 of 15
Tamia goes on a run every moming in the summer to stay in shape for
soccer in the fall She runs 25 miles in 20. minutes. What is her average
speed in miles per hour
O A 7 mph
B. 8 mon
O c. 5.5 mph
OD 75 mpin
Answer:
d 75 miles per hour
Explanation:
60 ÷ 20
3 × 25 = 75
hoped that helped!!
When is an example of a time a Christmas movie modeled acceleration on incline with friction (physics)?
An example of a time a Christmas movie modeled acceleration on incline with friction (physics) is:
It is not uncommon for movies, including Christmas movies, to depict characters moving up or down inclines or hills. In such cases, the motion of the characters can be analyzed using the principles of physics, including acceleration and friction.
In continuation of the story above:
To model the acceleration of Buddy as he runs up the hill, we would need to consider the forces acting on him, including the force of gravity pulling him downward, the normal force of the ground pushing against him, and the friction force between his feet and the ground. We would also need to consider any external forces, such as the force of the wind, and take into account the effects of air resistance.Therefore, By applying the laws of motion to these forces, we could calculate Buddy's acceleration as he runs up the hill.
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A 0.80 m wide door turns though an angle of 45°. How long is the arc of the displacement?
O 1.0 m
O 0.80 m
O 0.63 m
O 0.45 m
Answer:
below
Explanation:
If it went for 360° it would swing through the ENTIRE circumference = 2 pi r
= 2 pi ( .8 ) =5.026 m
but it only swings through 45 of the 360
45 / 360 * 5.026 = .63 m
Which condition can a food worker have, but would be allowed to continue to work?
A headache
An infected burn
Diarrhea
Answer:
headache
Explanation:
the conductor offers some amount of ohmic resistance to the flow of electrons, depending on the type of material from which the conductor is made, its length, and its .
Depending on the type of material used, the length, and other factors, the conductor provides some ohmic resistance to the flow of electrons.
Because electrons in a conducting wire reject one another, a conducting wire provides resistance to the flow of electrons. The electrolyte resistance, the current collector resistance, the active mass, and the transition resistance between the current collector and active mass are added to create the ohmic resistance, or RB.
Theoretically, in accordance with Ohm's rule, the voltage at the ohmic resistance instantly follows the battery current. A substance or material that permits the flow of electricity is known as an electrical conductor. Electrical charge carriers, often electrons or ions, flow freely in a conductor.
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Contingent upon the sort of material utilized, the length, and different variables, the guide gives ohmic protection from the progression of electrons.
Since electrons in a directing wire reject each other, a leading wire gives protection from the progression of electrons. The electrolyte obstruction, the ongoing authority opposition, the dynamic mass, and the progress obstruction between the ongoing gatherer and dynamic mass are added to make the ohmic obstruction or RB.
Hypothetically, as per Ohm's standard, the voltage at the ohmic obstruction in a split second follows the battery current. A substance or material that allows the progression of power is known as an electrical transmitter. Electrical charge transporters, frequently electrons or particles, stream uninhibitedly in a transmitter.
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The maximum vertical height of a projectile is 10 m. If the magnitude of the initial
velocity is 28 m/s, what is the direction of the initial velocity? (g=9.8 m/s2 )
\( \qquad \pmb{\sf\longrightarrow 10 = \dfrac{(28)^2 \times sin^2 \theta}{2 \times 9.8}}\)
\( \qquad \pmb {\sf \longrightarrow 10 = \dfrac{784 \times sin^2 \theta}{19.6}}\)
\( \qquad \pmb{\sf \longrightarrow 196 = 784 \times sin^2 \theta}\)
\(\qquad \pmb{\sf \longrightarrow sin^2 \theta = \dfrac{196}{784}}\)
\(\qquad \pmb{\sf \longrightarrow sin^2 \theta = 0.25 }\)
\(\qquad \pmb{\sf\longrightarrow sin \theta = \sqrt{0.25}}\)
\(\qquad \pmb{\sf\longrightarrow sin \theta = 0.5}\)
\(\qquad \pmb{\sf\longrightarrow sin \theta = \dfrac{1}{2}}\)
\(\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ \theta = 30^{\circ} }}}}}}\)
Therefore–
The direction of initial velocity is 30° from the horizontal.▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
A body is dropped from a height H. In how much time will it reach the ground?
Answer:
\(s = ut + \frac{1}{2} g {t}^{2} \\ t(u + \frac{1}{2} gt) = H \\ u + \frac{1}{2} gt = H \\ t = 2(H - u) \div g \\ t = \frac{(H - u)}{5} \\ u \: is \: speed \: or \: velocity\)