The magnitude of Magnetic field is 37.7 x [tex]10^{-4}[/tex] Tesla.
We have Hall Probe to measure an unknown Magnetic field.
We have to determine the Magnitude of the unknown Magnetic field.
What is Hall Probe?A Hall probe is a device that can be used to measure magnetic fields. They work on the principle of Hall effect.
According to the question, we have -
I = 120 mA = 120 x 0.001 = 0.12 Ampere.
B = 0.08 Tesla
V(H) = 0.7 [tex]\mu[/tex]V = 7 x [tex]10^{-7}[/tex]
The formula relating the above quantities is -
V(H) = [tex]A_{H} \frac{IB}{d}[/tex]
[tex]$\frac{d}{A_{H} } =\frac{IB}{V_{H} }= \frac{0.12 \times 0.08}{7\times 10^{-7} }[/tex] = 13.71 x [tex]10^{3}[/tex]
Now -
For → V = 0.33 [tex]\mu[/tex]V = 0.33 x [tex]10^{-7}[/tex]
[tex]B=\frac{Vd}{A_{H}I }[/tex] = [tex]13.71\times 10^{3} \times\frac{0.33\times 10^{-7} }{0.12}[/tex] = 37.7 x [tex]10^{-4}[/tex] Tesla
Hence, the magnitude of Magnetic field is 37.7 x [tex]10^{-4}[/tex] Tesla.
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Calculate the average speed of a complete round trip in which the outgoing 290 km is covered at 91 km/h , followed by a 1.0- h lunch break, and the return 290 km is covered at 54 km/h .
The average speed of the complete round trip is 61.12 km / h.
We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as
v = d / t
where v is average speed, d is distance and t is time.
From the question above, we know that
d1 = 290 km
v1 = 91 km/h
t lunch = 1 hour
d2 = 290 km
v2 = 54 km/h
Find the time during the outgoing
v1 = d1 / t1
t1 = d1 / v1
t1 = 290 / 93
t1 = 3.12 hours
Find the return time
v2 = d2 / t2
t2 = d2 / v2
t2 = 290 / 54
t2 = 5.37 hours
Hence, the total time
t = t1 + t2 + t lunch
t = 3.12 + 5.37 + 1
t = 9.49 hours
Find the average speed
v = d / t
v = (290 + 290) / 9.49
v = 61.12 km / h
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a toy train moves around a circular track, of radius 0.55 m, 10 complete times over 3 minutes. what is the train’s average speed?
The toy train that moves around a circular track, of radius 0.55 m, 10 complete times over 3 minutes has a speed of: 0.1919 m/s
To solve this problem the formulas and the procedures we will use are:
v = (2*π * r * n)/ t
Where:
v = tangential velocityπ = mathematical constantr = radiusn = number of lapst = timeInformation about the problem:
r = 0.55 mn = 10t = 3 minπ = 3.1416v=?By converting the time unit from (min) to (s) we have:
t = 3 min * 60 s/1 min
t = 180 s
Applying the tangential velocity formula we get:
v = (2*π * r * n)/ t
v = (2* 3.1416 * 0.55 m * 10)/ 180 s
v = 0.1919 m/s
What is tangential velocity?In physics is the length of arc traveled in each unit of time in uniform circular motion. It is expressed in units of distance per time (m/s), (km/h).
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When two waves interfere constructively or destructively, is there any gain or loss in energy in the system of the waves? Explain.
There is no gain or loss in energy as it remains constant in the system in case of interference.
When two waves interact, either positively or negatively, there is no gain or loss in the system's energy, according to the principle of conservation of energy.
The distribution of energy in the system changes depending on the angle of superimposition during constructive interference, but the system's overall energy does not change and remains constant.
Although it may appear that waves are canceling each other out or losing energy in the event of destructive interference, energy is still present. There is no gain or loss of energy in the system even though the energy distribution may alter, the energy may be preserved, and the system's temperature may rise.
Hence Energy does neither gain nor lose in the presence of interference; it remains constant.
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An electron and a proton, moving in opposite directions, are accelerated from rest through the same potential difference. Which particle has the longer wavelength? (a) The electron does. (b) The proton does.(c) Both are the same.(d) Neither has a wavelength.
The electron has the longer wavelength which is option (a) .
De Broglie proposed that because light has both wave and particle properties, matter exhibits both wave and particle properties. This property has been explained as the dual behavior of matter.De Broglie's relationship is given by [tex]\lambda=\frac{h}{mv}[/tex] .....(1) where λ is known as de Broglie wavelength and m is mass of the particle , v i velocity of the particle ,h = Plank’s constant .As mass of electron is less that the mass of the proton .
From equation (1) it is clear that de Broglie wavelength is inversely proportional to the square root of the mass of the material.
Hence , so de Broglie wavelength of electron will be greater than that of proton.
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Find the vector using parallelogram law [and Pythagoras theorem (h² = a² + o²) h being the hypothenuse, a being the adjacent side and o being the opposite side]
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
What is Pythagorean Theorem called?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. The Pythagorean equation, which is typically used to express this theorem, can be expressed as an equation linking the lengths of the legs (a, b), and the hypotenuse (c):
There are several ways to generalize the theorem, including to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids. The Pythagorean theorem has garnered interest outside of mathematics as a representation of mathematical mystique, power, or obscurity; there are numerous references to it in popular works of fiction, dramas, musicals, songs, stamps, and cartoons.
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"4. Two long, parallel wires each carry the same current I in the same direction (Fig. OQ 30.4) . Is the total magnetic field at the point P midway between the wires (a) zero,(b) directed into the page,(c) directed out of the page,(d) directed to the left, or (e) directed to the right?"
Total magnetic field at the point P midway between the wires is Zero.
The higher wire's contribution to the magnetic field at point P is directed into the page, whereas the lower wire's contribution is directed out of the page. These two oppositely directed contributions to the magnetic field have identical magnitudes and cancel each other out since point P is equally spaced from the two wires and the currents flowing through them are of equal magnitude.
Define magnitude?The term "magnitude" refers to an object's greatest size and direction. Scalar and vector quantities both use magnitude as a common factor. We are aware that scalar quantities are those that have just magnitude by definition. Those quantities with both magnitude and direction are considered vector quantities. It can also be used to describe how far an object has travelled or how much an object weighs in terms of its magnitude.
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part a theory please study wave concept and answer the following questions. 1. what is wave? what is the difference between wave motion and particle in motion? what are the characters of mechanical wave?
At various locations in space and time, a wave's intensity varies.
What is the difference between wave and particle?At various locations in space and time, a wave's intensity varies. A particle is typically thought of as something that exists solely at one location in space. Subatomic "particles" travel like waves and interact like particles according to quantum physics. Because they have varying intensities at various points in space and time, they travel in waves. Because they are made up of a single energy unit that can only be absorbed in a single location, they interact like particles.
What are the characteristics of the mechanical wave?
1. There are only two basic methods for moving energy: the flow of waves and the stream of particles. A wave is a type of physical phenomenon that moves energy but does not matter.
2. Generally speaking, a wave is a continuously moving disturbance of a medium, and that medium can either be a field (such as an electric or gravitational one) or a substance (a solid, a fluid).
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A 75.0-g ice cube at 0°C is placed in 825g of water at 25.0°C . What is the final temperature of the mixture?
Mixture has a final temperature of 3.22 ⁰C
What is specific heat capacity ?
Scientifically, specific heat capacity is the quantity of heat (J) absorbed by a material when its temperature increases 1 K (or 1 °C) per unit mass, expressed as J/(kg K) or J/(kg °C).
Q = mCΔT
Ft is the final temperature. It is, however, important to note that ice absorbs heat during the melting and cooling processes, and as such, it does not lose heat to or from the surrounding environment; hence, it conserves energy.
75g of heat rejected by ice = 825g of heat absorbed by water
m(ice)[C(ice) [LH(ice) + C(water)(ΔT)] = C(water) m(water) (ΔT)
So, 75x [ 333.5 + 4.187(Ft - 0)]= 285 x 4.187 x (25 - Ft)
333.5 + 4.187Ft = 3.8 x 4.187 (25-Ft)
333.5 + 4.187Ft = 397.765 -15.9106Ft
20.1Ft =64.265
Ft = 3.22 ⁰C
Therefore, Mixture has a final temperature of 3.22 ⁰C
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In the accompanying diagram of right triangle ABC, AB= 8, BC= 15, AC= 17, and m/ABC = 90.
What is tan C?
The correct answer is tan C = 8/15.
Six trigonometric ratios, namely Sine, Cosecant, Tangent, Cosecant, and Secant, are defined for right triangles in mathematics. These trigonometric ratios are actual functions that connect a right-angled triangle's angle to the ratios of its two side lengths. Basic trigonometric functions like Sin and Cos can be used to determine how a right triangle is shaped. Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent are the six trigonometric ratios; they are sometimes known as Sin, Cos, Tan, Csc, Sec, and Cot. These can be represented in terms of the sides of a right-angled triangle given a particular angle, which is why they are known as ratios.
From the figure
[tex]$\tan A=\frac{\text { leg opposite } \angle A}{\text { leg adjacent to } \angle A}: \tan (\angle A C B)=\frac{\overline{A B}}{\overline{B C}}$[/tex]
Substitute [tex]$\overline{A B}=8, \overline{B C}=15$[/tex] into [tex]$\tan (\angle A C B)=\frac{\overline{A B}}{\overline{B C}}: \tan (\angle A C B)=\frac{8}{15}$[/tex]
Hence tan C = 8/15.
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a car starts from rest and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. how far does the car travel during this time?
150m far the car travel during this time.
What do you mean by acceleration?The rate at which the speed and direction of a moving object vary over time is called acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Acceleration is a vector quantity since it has both a magnitude and a direction. The velocity vector change during a time interval divided by the time interval is the definition of acceleration. The limit of the ratio of the change in velocity over a given time interval to the time interval, as the time interval approaches zero, determines the instantaneous acceleration (at a specific time and location).
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A straight wire carrying a 3.00-A current is placed in a uniform magnetic field of magnitude 0.280 T directed perpendicular to the wire. (a) Find the magnitude of the magnetic force on a section of the wire having a length of 14.0cm.
The magnitude of the magnetic force on a section of the wire having a length of 14.0cm is 0.1176 N.
What is a magnetic field?The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.
It is given that:
A straight wire carrying a 3.00-A current is placed in a uniform magnetic field of magnitude 0.280 T directed perpendicular to the wire.
As we know,
F = i L B sin θ
i = 3 A
L = 14 cm = 0.14 meters
B = 0.280 T
θ = 90 degrees
F = 3(0.14)(0.280)sin 90
F = 0.1176 N
Thus, the magnitude of the magnetic force on a section of the wire having a length of 14.0cm is 0.1176 N.
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A boy throws a ball straight up into the air. It reaches the highest point of its flight after 4 seconds-How fast was the ball going when it left the boy's hand?
Answer:
Answer is
[tex]4g \: m {s}^{ - 1} [/tex]
Explanation:
We have to find the initial velocity, u.
Final velocity is v = 0. And acceleration is due to gravity.
Now,
[tex]v = u + at[/tex]
[tex]0 = u + ( - g)m {s}^{ - 2} \times 4s[/tex]
[tex]u = 4g \: m {s}^{ - 1} [/tex]
Therefore, the final answer depends on the value of g.
if a force f⃗ acts on an object as that object moves through a displacement s⃗ , the work done by that force equals the scalar product of f⃗ and s⃗ : w
If a force f acts on an object as that object moves through a displacement s , the work done by that force equals the scalar product of f and s : w . This is because when the object moves, the force applied to it changes in magnitude and direction.
Therefore, multiplying this change in Force by the distance traveled.
What connection exists between an object's work and its displacement?The distance and direction that an object is moved are known as displacement. While force and displacement are indirectly proportional, work and force are directly proportional. W= Fd is the equation illustrating the relationship.F stands for force in newtons, W for work measured in joules, and d for distance in meters.To learn more about displacement, visit:
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are two quantities considered to be “directly proportional” and “indirectly
proportional” to each other?
brainliest for answer
Yes, two quantities are considered to be “directly proportional” and “indirectly proportional” to each other.
What are “directly proportional” and “indirectly proportional”?The term “directly proportional” refers to the relationship between two quantities when one factor increases the other factor or quantity is also increases while on the other hand, “indirectly proportional” refers to the relationship between two quantities when one factor increases the other factor or quantity is decreases. Indirectly proportional is also known as inversely proportion because one increases and the other increases.
So we can conclude that Yes, two quantities are considered to be “directly proportional” and “indirectly proportional” to each other.
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Can someone please answer these questions. will mark brainiest. need asap.
Answer:
I don't know I can't see can you take a better picture
Q|C A large set of unoccupied football bleachers has solid seats and risers. You stand on the field in front of the bleachers and sharply clap two wooden boards together once. The sound pulse you produce has no definite frequency and no wavelength. The sound you hear reflected from the bleachers has an identifiable frequency and may remind you of a short toot on a trumpet, buzzer, or kazoo.(a) Explain what accounts for this sound. Compute order-of-magnitude estimates for
A tone with 20 crests can be heard coming from the stands, each of which is spaced out in time by 0.004s.
What is crest?A crest, or the object carried on top of the helm, is a part of a heraldic display. Crests were originally decorative sculptures worn by knights during tournaments and, to a lesser extent, wars; but, until the 16th century, they exclusively consisted of pictures.
A typical heraldic achievement consists of the shield, the helm, the crest, and the base of the crest, which is encircled by a circlet of twisted fabric known as the torse. The term "crest" is used frequently due to the practice of using the crest and torse separately from the rest of the achievement, which spread during the paper heraldry era.
a) Let the horizontal width of each row of seats be 60cm=0.6m.
Let the speed of sound v= 340m/s
Let's now imagine that the single narrow peak on a graph of air pressure versus time corresponds to our loud, acute sound impulse.
The time it takes the sound impulse to travel from one riser to the next is,
[tex]t=\frac{0.6m}{340m/s}[/tex]
=0.002s
Let's say there are 20 rows of seating.
You can hear a tone with 20 crests coming from the stands, each one separated in time from the next by,
[tex]\frac{2(0.6m)}{340m/s} =0.004s[/tex]
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A golf ball with a speed of 45 m/s travels straight for a distance of 128 meters. How long was the golf ball traveling for?
Answer: First multiply the numbers you have! 45 x 128 = 5760 miles ! Hope this helps!~
A student walks 15 meters west, then turns south and walks for 7 meters. The student then begins to walk east for 15 meters until he reaches his destination. What was the student's distance? What about displacement? (hint draw it)
The total distance of the student is 37 m. The total displacement of the student is 7 m south.
What is distance?
The distance of an object is the total space covered by the object. It is scalar quantity because it has only magnitude with no direction.
The total distance covered by the student is calculated as follows;
distance = 15 m + 7 m + 15 m
distance = 37 m
What is displacement?The displacement of an object is the change in the position of the object. Displacement is vector quantity because it has both magnitude and direction.
The displacement of the student is calculated as follows;
displacement = space between the 15 m west and 15 meter east = 7 m south.
Thus, the total distance of the student is 37 m. The total displacement of the student is 7 m south.
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Owen and Dina are at rest in frame S' , which is moving at 0.600 c with respect to frame S . They play a game of catch while Ed , at rest in frame S , watches the action (Fig. P39.75). Owen throws the ball to Dina at 0.800 c (according to Owen), and their separation (measured in S' ) is equal to 1.80 × 10¹²m .(d) how fast. is the ball moving.
0.385c m/s is the speed of the ball relative to Ed.
A frame of reference is a set of reference points—geometric points whose positions are known mathematically and physically—that define the origin, orientation, and scale of an abstract coordinate system.
If a body does not continuously adjust its position in relation to its environment throughout the course of time, it is said to be at rest.
In the frame S', Dina and Owen are at rest.
The speed of the ball with respect to Owen, u =0.800c
The speed of the frame S' with respect to frame S, v = 0.600c
Distance between Dina and Owen, L(p) = 1.8 × 10¹² m
Speed of light, c = 3 × 10⁸ m/s
Therefore, the velocity of the ball in relation to Ed is:
u' = (u-v) / 1-(uv/c²)
u' = (0.8c - 0.6c) / 1- [(0.8c)(0.6c)/c²]
u' = (0.8c - 0.6c) / 1- [(0.8)(0.6)]
u' = 0.3846c ≈ 0.385c
The speed of the ball with respect to Ed is 0.385c m/s.
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a force of 22,000 n will cause a 1 cm x 1 cm bar of magnesium to stretch from 10 cm to 10.07 cm. calculate the modulus of elasticity, both in gpa and ksi.
The elastic modulus of magnesium bar is 3.14 GPa.
We need to know about the modulus of elasticity to solve this problem. The elastic modulus of material can be measured by strain and stress. It can be determined as
B = σ / e
B = (F/A) / (ΔV/V)
where B is modulus of elasticity, σ is stress, e is strain, F is force, A is area, V is initial volume, ΔV is volume stretched.
From the question above, we know that:
F = 22000 N
A = 1cm x 1cm = 1 cm²
V = A x 10cm = 10 cm³
ΔV = (10.07-10) x A =0.07 cm³
Convert to SI unit
A = 1 x 10¯⁴ m²
V = 10¯⁵ m³
ΔV = 7 x 10¯⁴ m³
By substituting the following parameters, we get
B = (F/A) / (ΔV/V)
B = (22000 / (1 x 10¯⁴) / (7 x 10¯⁴ / 10¯⁵)
B = 3.14 x 10⁶ Pa
B = 3.14 GPa
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at what distance is an object if its parallax, as measured from either end of a 1000 km baseline, is 1''(arcsec)?
distance of object = (½ baseline)/(tanθ/2)
= (½ × 1000)/(tan0.5")
= 500/0.000000242 km
distance of object = 206248306 km
Definition of parallax?
Particularly: the angular difference in direction of a celestial body as measured from two places on the earth's orbit. The apparent displacement or the difference in apparent direction of an object as seen from two separate points that are not on a straight line with the object
The apparent movement of objects when observed from various angles is referred to as "parallax." An illustration of this can be noticed while traveling on the highway; when you glance out the window, electricity poles close to the road seem to fly by, while distant trees seem to drift by slowly.
The angle here between Earth at one time of year and the Earth 6 months later, as measured from a nearby star, is defined as the parallax angle.
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Shakib says that 25 meters per second is a velocity. Vania says that 25 meters per second is a speed. Who do you agree with?
Vania is correct in her saying that 25 meters per second is speed as in 25 meter per seconds nothing represents the direction in which the speed is pointing.
What is speed?Speed is a physical quantity that represents the change in distance per unit time it is a scalar quantity and its SI unit is meter per second. Speed only has magnitude but does not have direction.
What is velocity?Velocity is a physical quantity that represents the change in displacement per unit time it is electric quantity and its SI unit is meter per second. Velocity has both magnitude and direction.
Given:
The physical quantity is 25 meters per second.
According to the question Shakib points out that 25 meters per second is velocity, but Shakib is wrong in saying so as in 25 meters per second nothing represents the direction of this quantity.
Here from the given data we can only know the magnitude of the physical quantity but not wear it is pointing towards to.
On the other hand one ya says that 25 m per second is a physical quantity that represents speed and her reasoning is that 25 m per second gives the magnitude as well as the SI units of speed and do not point out in a particular direction therefore the quantity must be speed.
Hence, Vania is correct in her saying that 25 meters per second is speed as in 25 meter per seconds nothing represents the direction in which the speed is pointing.
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Suppose you perform Young's double-slit experiment with the slit separation slightly smaller than the wavelength of the light. As a screen, you use a large half-cylinder with its axis along the midline between the slits. What interference pattern will you see on the interior surface of the cylinder?(a) bright and dark fringes so closely spaced as to be indistinguishable (b) one central bright fringe and two dark fringes only (c) a completely bright screen with no dark fringes (d) one central dark fringe and two bright fringes only (e) a completely dark screen with no bright fringes
The interference pattern that you you see on the interior surface of the cylinder is (a) bright and dark fringes so closely spaced as to be indistinguishable
What is Young's double slit experiment?Young's double slit experiment is the experiment performed in 1801 by Thomas Young to prove that light is a wave.
Since you are performing Young's double-slit experiment with the slit separation slightly smaller than the wavelength of the light and as a screen, you use a large half-cylinder with its axis along the midline between the slits.
What interference pattern will you see on the interior surface of the cylinder?Now, we know that the interference pattern of a Young's double slit experiment is as a result of diffraction.
What is interference pattern?Interference pattern is the pattern observed due to the vectorial combination of waves
What is diffraction?Diffraction is the property of a wave in which a wave spreads out as it passes through an opening.
Now, we know that diffraction occurs when a wave goes through an aperture or opening smaller than its wavelength.
Now, the smaller the opening compared to the wavelength of the wave, the more the diffraction you would observe bright and dark fringes so closely spaced as to be indistinguishable.
So, the interference pattern that you you see on the interior surface of the cylinder is (a) bright and dark fringes so closely spaced as to be indistinguishable
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The rest energy of an electron is 0.511MeV. The rest energy of a proton is 938MeV. Assume both particles have kinetic energies of 2.00MeV. Find the speed of (a) the electron
The speed of the electron is 0.98c, given that the rest energy of an electron is 0.511MeV and the rest energy of a proton is 938MeV, with both particles having kinetic energies of 2.00MeV.
A particle's total energy and the rest energy follow the laws of physics and the theory of relativity. The energy of any particle is equal to mass times the speed of the light-squared relatively.
Where; E=γ.〖mc〗^2
γ is the ratio of total energy to rest energy of the particle.
m_0 is known as the rest mass of the particle.
Rest energy can be written as: E_0=〖m_0 c〗^2
γ=K/E_0 +1 (1)
γ=1/(√1-v^2/c^2 ) (2)
Putting the values of the electron energy into equation (1):
γ=2.00MeV/0.511MeV+1
γ= 3.91 + 1
γ=4.91
From equation (2),
γ=1/(√1-v^2/c^2 )
Squaring both sides of the equation,
γ^2=1/(1-v^2/c^2 )
1/γ^2 =1-v^2/c^2
v^2/c^2 =1-1/γ^2
v/c=√1-1/γ^2
Making v subject of the formula,
v=√1-1/γ^2 ×c (3)
Inserting the values in the equation,
v=√1-1/〖4.91〗^2 ×c
v=√1-1/24.11×c
v=√0.959×c
v=0.98×c
v=0.98c
Therefore, the speed of the electron is 0.98c. #SPJ4
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f a ball is thrown into the air with an initial velocity of 46 ft/s, its height in feet after t seconds is given by y
The ball that is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by the following equation:
y=46 ft/s * t - (32.17 ft/s² * t²/2)
The height in (ft) at a time (t) of a body that has been thrown with a certain velocity and is in vertical motion is given by the following equation:
y = vi * t - (g* t²/2)
Where:
y = heightvi = initial velocityg = gravityt = timeInformation about the problem:
vi = 46 ft/sg = 32.17 ft/s²y =?t = tApplying the height formula we get:
y = vi * t - (g* t²/2)
y = 46 ft/s * t - (32.17 ft/s² * t²/2)
What is the vertical upward launch?It is the movement described by an object that has been thrown vertically upwards in which the height and the effect of the force of the earth's gravity on the thrown object are considered.
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a window washer does not want to change her position. what does she want the forces acting on her to be? large large small small balanced balanced unbalanced
When a window washer does not want to change her position but still her position got changes to range then the force acting on the window washer is an Unbalanced force because only an Unbalanced force can change the position.
What is Unbalanced Force?Unbalanced forces are those acting on a body when the net force acting on the body is greater than zero. The body alters its state of motion when unbalanced forces act on it. Or, In other words, the net force acting on an object is unbalanced when it is moving at a variable speed. For instance, when an apple falls from a tree, it experiences an imbalanced force equal to its weight. A toy vehicle being pushed is an example of an imbalanced force, and the toy car begins to move as a result of the unbalanced force.
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A grating with 250 grooves mm is used with an incandescent light source. Assume the visible spectrum to range in wavelength from 400nm to 700nm . In how many orders can one see (a) the entire visible speed
The number of orders that one can see the entire visible speed is 5 orders.
How to calculate the orders?From the information given, it should be noted that the grating with 250 grooves mm is used and the visible spectrum range in wavelength from 400nm to 700nm. Therefore, the grating spacing will be:
d = (1.00 × 10^-4) / 250
d = 4000nm
Therefore, the number of times that are needed to complete the order will be the same as the number of orders which the long wavelength time will be visible. This will be:
= (4000 × sin 90°)/700
= 5.71
Therefore, the maximum orders will be 5.
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A series R L Circuit has components with the following values: L=20.0mH, C=100 nF, R=20.0 Ω , and ΔVmax = 100V, with Δv=ΔVmax sin Ω t . Find (b) the amplitude of the current. at. the resonant frequency,
The amplitude of the current at resonant frequency is 5 A
What is a R L C circuit?R L C is acronym representing Resistor Inductor and Capacitor. A circuit containing Resistor, Inductor, and Capacitor is called R L C circuit. The connection of the circuit can be in series or in parallel;
For connection in series, like we have the end of the connection point of the resistor marks the beginning of the connection point of the inductor and the end of the inductor marks the beginning of the connection point for the capacitor. The sequence of the connection may not be exactly R L C however connection of the three components end to end represents the R L C series connection
How to solve for current. I at resonant frequencyGiven values:
L=20.0mH,
C=100 nF,
R=20.0 Ω ,
ΔVmax = 100V
I = ΔVmax / R
I = 100 / 20
I = 5.0 Amp
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a ball of mass 2.0 kg is thrown vertically upward from the top of a building. the ball’s velocity v is given as a function of time t by the equation v(t)
The acceleration of the ball at t = 1.5 sec is -10 m/s².
The height of the building is 16 m.
The ball will reach maximum height after 0.2 seconds.
The mass of the ball is 2 kg.
The ball is thrown vertically from upwards top of the building.
Let the velocity of the ball is v and the total time taken by the ball be t.
Now, the velocity of the ball as a function of t is given as:
v(t) = 2 - 10t
The acceleration can be obtained by differentiating the velocity with respect to time.
Therefore,
a = dv/dt
a = d/dt ( 2 - 10t )
a = - 10 m/s²
When t = 1.5 sec
The acceleration of the ball is - 10 m/s².
(b) The ball reaches the ground at t = 2.0 sec.
Now, velocity can be defined as the differentiation of velocity with respect to time.
v(t) = dx/dt
dx/dt = 2 - 10t
dx = 2 - 10t
Now integration the above equation for limits x = 0 to x and time t = 0 to t = 2sec as the balls reached the ground in 2 seconds.
Then,
∫dx = ₀∫² [ 2- 10t]dt
x = [2t]₀² - [10t²/2]₀²
x = 4 - 20
x = -16 m
Therefore, the height of the building is 16 m.
(c) The ball will reach the maximum height when the instantaneous velocity is zero.
v(t) = 2 - 10t
0 = 2 - 10t
t = 2/10 = 0.2 sec
The ball will reach maximum height after 0.2 seconds.
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The complete question is mentioned below:
A ball of mass 2.0kg is thrown vertically upward from the top of a building. the ball velocity v is given as a function of time t by the equation v(t)= 2-10t. the positive direction is upward. what is the ball acceleration at time t = 1.5 complete. (b) if the ball reaches the ground at t=2.0s what is the height of the building? (c) at what time does the ball reach a maximum height above the building?
If a football player runs with an average speed of 7.76 m/s, then how much time ( in seconds ) would it take to run 58.6 m?
Average speed is the total distance travelled in total time taken. Here, the total distance covered by the football player is 58.6m ad the average speed is 7.76m/s therefore, the time taken will be 7.55 sec.
What is Average Speed?
Average Speed is the rate at which the total distance is covered by an individual. It can be calculated by the formula:
Average Speed = Total distance travelled by an object ÷ Total time taken
Average Speed = 7.76 m/s
Total distance travelled = 58.6 m
Hence, time taken to cover the distance can be calculated by dividing the distance covered by the object by Average Speed of the object:
Time taken = 58.6 m ÷ 7.76 m/s
Time taken = 7.55 sec
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