it takes the trooper 15.0 seconds to overtake the speeding car. Note that this is the time from when the trooper starts accelerating, so the total time from when the car passes the billboard is 15.0s + 1.0s = 16.0s.
The time it takes for the trooper to overtake the speeding car can be found using the equations of motion for constant acceleration. The position of the speeding car at time t is given by:
x_car = v_car*t + x0_car
where v_car is the constant velocity of the car (45.0 m/s), t is the time, and x0_car is the initial position of the car (0 m). The position of the trooper at time t is given by:
x_trooper = (1/2)*a_trooper*t^2 + v0_trooper*t + x0_trooper
where a_trooper is the constant acceleration of the trooper (3.00 m/s^2), v0_trooper is the initial velocity of the trooper (0 m/s), and x0_trooper is the initial position of the trooper (0 m). The trooper overtakes the speeding car when their positions are equal:
x_car = x_trooper
Substituting the expressions for the positions of the car and trooper gives:
v_car*t + x0_car = (1/2)*a_trooper*t^2 + v0_trooper*t + x0_trooper
Rearranging and simplifying gives:
(1/2)*a_trooper*t^2 - v_car*t = 0
This is a quadratic equation that can be solved for t using the quadratic formula:
t = (-b ± √(b^2 - 4*a*c))/(2*a)
where a = (1/2)*a_trooper, b = -v_car, and c = 0. Plugging in the values for a, b, and c gives:
t = (-(-v_car) ± √((-v_car)^2 - 4*(1/2)*a_trooper*0))/(2*(1/2)*a_trooper)
Simplifying gives:
t = (v_car ± √(v_car^2))/(a_trooper)
The negative solution for t is not physically meaningful, so the positive solution is the time it takes for the trooper to overtake the speeding car:
t = (v_car + √(v_car^2))/(a_trooper)
Plugging in the values for v_car and a_trooper gives:
t = (45.0 m/s + √((45.0 m/s)^2))/(3.00 m/s^2)
t = 15.0 s
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The light is most intense where it strikes Earth _______ to its surface.
Answer: The sun's rays strike Earth's surface most directly at the equator. This focuses the rays on a small area. Because the rays hit more directly, the area is heated more.
The light is most intense where it strikes Earth's surface most directly at the equator
The sun's rays strike Earth's surface most directly at the equator. The rays are focused on a narrow area as a result of this. The area is heated more because the sunlight touch it more directly.The incoming solar radiation is more direct (almost perpendicular or closer to a \(90\) degree angle) when the sun's rays contact the Earth's surface near the equator. As a result, solar energy is focused over a smaller surface area, causing temperatures to rise.For more information:
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A rocket of mass 1000kg containing a propellant gas of 3000kg is to be launched vertically. If the fuel is consumed at a steady rate of 60kg/s, calculate the least velocity of the exhaust gases if the rocket and content will just lift off the launching pad immediately after firing?
A 1000 kg rocket with a 3000 kg propellant gas is intended for vertical launch. If the gasoline is used consistently at a rate of.
What initiates the launch of a rocket?When the upward force of thrust is higher than the downward force of gravity, a rocket is said to have launched. A rocket will speed upwards as a result of this imbalanced force. As long as the thrust of a rocket engine produces an upward force, a missile will continue to accelerate.
What forces are present when a rocket is launched?A rocket experiences four forces while in flight: weight, velocity, and the aerodynamics of lift and drag. The weight's size is determined by the.
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10 N of force is applied to a spring and its length increases by 4 cm. If the spring is obeying Hooke's law, what will its extension be if 30 N of force is applied?
I think Twelve is the answer
What will happen to an electrical coil when the direct current flowing through the coil is increasing
When direct current flows through an electrical coil, it generates a magnetic field.
If the direct current flowing through the coil is increasing, the magnetic field strength will also increase.
This, in turn, will cause the coil to generate a stronger electromagnetic force, which can be used for various purposes such as powering motors, generating electricity, and more.
However, if the current flow becomes too strong, it can cause the coil to overheat and potentially damage it.
Therefore, it's important to ensure that the coil is designed to handle the amount of current flowing through it to prevent any potential damage.
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Add an E-W force and a N-S force so the object is at equilibrium.
Add a Force
re
Given: 64.0 N. 128.7°CCW
Tap to learn about CCW
The addition of vectors allows to find the vector that the equilibrium is
F = (40.02 i ^ - 49.95 j ^) N
Parameters given
Vector value A = 64.0 N and tea = 128.7ºTo find
The vector that allows equilibrium
The force is a vector magnitude so the sum of the force must be done using the methods to add vectors.
One of the easiest methods to perform the addition of vectors is the analytical method where each vector is decomposed in a Cartesian system and the components added using algebraic summation and then the resulting vector is constructed.
We decompose the vector
cos θ = \(\frac{A_x}{A}\)Ax / A
sin θ = \(\frac{A_y}{A}\)
Aₓ = A cos θ
\(A_y\)= A sin θ
Aₓ = 64 cos 128.7
\(A_y\) = 64 sin 128.7
Aₓ = -40.02 N
\(A_y\) = 49.95 N
To find the vector that allows equilibrium, we work each axis independently
X axis
Aₓ + Fₓ = 0
Fₓ = - Aₓ
Fₓ = 40.02 N
Y axis
\(A_y + F_y =0 \\F_y = - A_y\\F_y = - 49.95 N\)
We can write the resulting vector in two ways
1) F = (40.02 i ^ - 49.95 j ^) N
2) in the form of module and angle
Let's find the module with the Pythagoras' Theorem
F =\(\sqrt{F_x} ^2 + F_y^2)\\F = \sqrt{40.02^2 + 49.95^2 }\)
F = 64 N
Angles
tan θ = \(\frac{F_y}{F_x}\)
θ = tan⁻¹ \(\frac{F_y}{F_x}\)
θ = tan⁻¹ \(\frac{-49.95}{40.02}\)
θ = -51.3º
This angle is measured clockwise from the positive side of the x-axis
In conclusion using the sum of vectors we can find the vector that allows the equilibrium is
F = (40.02 i^ - 49.95 j^ ) N
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The large reservoir of comet nuclei far beyond Pluto, from which we believe new long-period comets come into the inner solar system, is called:
Answer:
Oort cloud
Explanation:
The large reservoir of comet nuclei far beyond Pluto, from which we believe new long-period comets come into the inner solar system, is called Oort cloud.
The comets hich have the large periods that means more than 200 years to orbit the Sun generaly comes from Oort cloud hich is also knon as the cometary cloud.
7) Find F1 and F2
HELP PLEASEEE
The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.
What is force?Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.
If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.
The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.
F2 = 45 cos 30 = 38.9 N.
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An at-track gider is attached to a spring The glider is pulled to the right and released from rest at f=0 then states with a period of 1.8s and a maximum speed of 44 cm/s 96 5 R E D C LL 1 T V 6 G & Y B N H Part A What is the amplitude of the oscilation? Express your answer in centimeters Subm Part B What is the per pot247 Express your aris cantimeters Ale A 0 U 8 00 N VAC J ( 9 O M O L K
Part A: To determine the amplitude of the oscillation, we can use the relationship between the maximum speed and the amplitude of simple harmonic motion. The maximum speed of the glider is given as 44 cm/s. The maximum speed occurs at the amplitude of the oscillation. Therefore, the amplitude of the oscillation is 44 cm.
Part B: The period of the oscillation is given as 1.8 s. The period (T) is the time taken for one complete cycle of the oscillation. The frequency (f) is the reciprocal of the period, so we have f = 1/T. Substituting the given value, we have f = 1/1.8 s ≈ 0.556 Hz.
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what is a positive lachman maneuver/test
A positive Lachman maneuver or test refers to the presence of increased anterior translation of the tibia in relation to the femur when performing a manual examination of the knee joint.
This finding suggests a possible anterior cruciate ligament (ACL) injury, as the ACL provides stability to prevent this type of movement. A positive Lachman test is often used as part of the clinical evaluation of a knee injury, along with other tests and imaging studies, to determine the extent of the damage and guide treatment. Place the patient's knee in about 20-30 degrees flexion. According to Bates' Guide to Physical Examination, the leg should also be externally rotated slightly. The examiner should place one hand behind the tibia and the other on the patient's thigh. It is important that the examiner's thumb be on the tibial tuberosity. On pulling the tibia anteriorly, an intact ACL should prevent forward translational movement of the tibia on the femur ("firm end-feel"). So, a positive Lachman maneuver or test refers to the presence of increased anterior translation of the tibia in relation to the femur when performing a manual examination of the knee joint.
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two trains are travelling towards each other at 30.5 m/s relative to the ground. One train is blowing a whistle at 500 Hz
The apparent frequency heard by the observer on the other train is approximately 417.94 Hz.
Two trains are traveling towards each other at 30.5 m/s relative to the ground. One train is blowing a whistle at 500 Hz. To determine the apparent frequency heard by the observer on the other train, we can use the formula for the Doppler effect.
The formula is:
f' = (v + vr) / (v + vs) * f
Where:
f' is the apparent frequency
v is the speed of sound (343 m/s at standard temperature and pressure)
vr is the velocity of the receiver (observer)
vs is the velocity of the source (whistle)
In this case, since the two trains are moving towards each other, the velocity of the receiver and the source will have opposite signs.
Given:
v = 343 m/s
vr = -30.5 m/s (negative because it is towards the source)
vs = 30.5 m/s
Plugging these values into the formula:
f' = (343 - 30.5) / (343 + 30.5) * 500
f' = 312.5 / 373.5 * 500
f' = 417.94 Hz
So, the apparent frequency heard by the observer on the other train is approximately 417.94 Hz.
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Cytoplasm:
A. Is the spherical organelle in the center of the cell
B. Is a sac-like structure
C. Surrounds organelles
D. Is the jelly-like fluid within a cell
Answer: D. Is the jelly like fluid within a cell
watch the cell rap
Which statement accurately describes the motion of the objects in the ticker tape above?
Both objects are speeding up at a constant rate.
One object speeds up before it slows to a stop.
Both objects speed up before stopping.
One object speeds up at a constant rate until it stops.
Answer:
B
Explanation:
One object speeds up before it slows to a stop.
When reading this type of graph, we know that when the points are far apart, then the object is definitely moving quickly. Also again, we know that when the points are besides each other, then we say that the object is moving slow. When the distance that is between the points are changed, the velocity of the object subsequently changes too, and therefore, we say that the object is accelerated. When there are lots of points in one location, we will see that the object is not moving.
This then translates into that
The object(s) at the top begins to slow, eventually, it increases in its speed, going forward, it slows down again, before it finally halts. The object at the bottom on the other hand, starts fast, before slowing down.
then:
"One object speeds up before it slows to a stop "
Write down any four points that should be considered during household wiring
Answer:
USE RUBBER CLOVES
USE A PLIER
USE CONDUCTIVE WIRES
SWITHC OFF THE MAIN SWITCH WHILE WIRRING
Explanation:
How does your eye focus while reading a story book and how does it differ from a photographic camera?
Answer:
The lenses in your eyes change shape to stay focused on a moving object.
Explanation:
the lens moves closer/further from the film to focus. In your eyes, the lens changes shape to focus: The muscles in your eyes change the actual shape of the lens inside your eyes. Sensitivity to light: A film in a camera is uniformly sensitive to light. The human retina is not
what is the ecliptic? what is the ecliptic? the sun's daily path from east to west in our sky the path the sun appears to trace around the celestial sphere each year a half-circle extending from your horizon due north, through your zenith, to your horizon due south the path traced by the moon's shadow on earth during a solar eclipse
The orbital plane of the earth around the Sun is known as the ecliptic or ecliptic plane a path along the ecliptic can see against a background of stars from earth as the Sun moves around the celestial sphere.
Describe the ecliptic.Ecliptic in astronomy is the large circle that represents the Sun's apparent movement through the constellations over the course of a year from another angle it is the representation of Earth's orbit around the Sun on the celestial sphere Along the ecliptic the constellations of the zodiac are organized.
What are the Sun's ecliptic path?The sun's journey is indicated by the ecliptic a fictitious line in the sky Along with the moon planets also follow the ecliptic It designates the plane of the solar system by projecting Earth's orbit onto the cosmic sphere.
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i need help with this question please i beg
Normally, whem I shut my door, it takes quite a bit of effort to shut it, but when my window is open, even if I just pull it slightly then let go, it slams automatically. It isn't an issue, I just want to know the physics behind it. Is it something to do with difference in pressure?
Answer:
gravity
Explanation:
gravity pulls anything with with weight towards the earth.
Answer
The reason why this occurs is because if there is any apparent wind being pushed towards the direction of the door, there will be an attempt of equalizing pressure and thus it will slam, or close very loudly when you even just push it shut with some effort.
Explanation
This has happened to me a variety of times, I would have the garage open, and it would be a little bit windy, and when I tried to close it, it would slam shut.
Airflow is a significant factor in the pressure appliance.
Your question at the end is correct (Differences in air pressure.)
Apologies for the late response, but I was interested in this as well.
the image below to answer question 2.
1
4 cm
3 cm
7 cm
2. The block shown above has a mass of 105 g.
What is the density of the block? sc.8.P.8.3
A 0.80 g/cm3
1.25 g/cm3
7.50 g/cm3
21.0 g/cm3
C
D
The density of the block is 1.25 \(g/cm^3\)
Given the following data:
Length of block = 3 cmWidth of block = 4 cmHeight of block = 7 cmMass of block = 105 grams.First of all, we would determine the volume of the block.
\(Volume \;of \;block = length\) × \(width\) × \(height\)
\(Volume \;of \;block = 3\) × \(4\) × \(7\)
Volume of block = 84 \(cm^3\)
To find the density of the block;
Density is mass per unit volume of an object such as a block.
Mathematically, the density of an object is calculated by using the formula;
\(Density = \frac{Mass}{Volume}\)
Substituting the values into the formula, we have;
\(Density = \frac{105}{84}\)
Density = 1.25 \(g/cm^3\)
Therefore, the density of the block is 1.25 \(g/cm^3\)
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A block attached to a spring with unknown spring constant oscillates with a period of 1.8 s . Parts A to D are independent questions, each referring to the initial situation.
Part A
What is the period if the mass is doubled?
Express your answer to two significant figures and include the appropriate units.
T = Part B
What is the period if the mass is halved?
Express your answer to two significant figures and include the appropriate units.
T = Part C
What is the period if the amplitude is doubled?
Express your answer to two significant figures and include the appropriate units.
T = Part D
What is the period if the spring constant is doubled?
Express your answer to two significant figures and include the appropriate units.
A) The period (T) will be approximately 2.6 s if the mass is doubled.
b) The period (T) will be approximately 1.3 s if the mass is halved.
c) The period (T) remains unchanged if the amplitude is doubled.
d) The period (T) remains unchanged if the spring constant is doubled.
For a mass-spring system undergoing simple harmonic motion, the period of oscillation is given by the formula:
T = 2π * √(m/k)
where T is the period, m is the mass of the block, and k is the spring constant.
Part A:Period (T) = 1.8 s, Mass (m) = 2m (doubled)
Using the formula:
T = 2π * √(m/k)
Substituting the given values:
1.8 = 2π * √(2m/k)
Solving for T:
1.8 / (2π) = √(2m/k)
Square both sides:
(1.8 / (2π))² = 2m/k
Simplifying:
(1.8²) / (4π²) = 2m/k
Solving for T:
T = (1.8² * k) / (4π² * 2m)
Calculating:
T ≈ (3.24 * k) / (12.57 * m)
Part B:
Period (T) = 1.8 s
Mass (m) = 0.5m (halved)
Using the formula:
T = 2π * √(m/k)
Substituting the given values:
1.8 = 2π * √(0.5m/k)
Solving for T:
1.8 / (2π) = √(0.5m/k)
Square both sides:
(1.8 / (2π))² = 0.5m/k
Simplifying:
(1.8²) / (4π²) = 0.5m/k
Solving for T:
T = (0.9² * k) / (4π² * 0.5m)
Calculating:
T ≈ (0.81 * k) / (12.57 * m)
In Part C, the period remains unchanged because the period of oscillation in simple harmonic motion is only dependent on the mass and spring constant, not the amplitude.
In Part D, the period also remains unchanged because the period of oscillation is independent of the spring constant.
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Lightning a. occurs when a positively charged cloud base induces a negative charge on the Earth's surface. b. travels most often from cloud to ground and cannot travel from cloud to cloud. c. may be accompanied by the sound of explosively expanding hot air, called thunder. d. involves a conductive path or leader of positive ions from cloud to ground.
Answer:
c. may be accompanied by the sound of explosively expanding hot air, called thunder.
Explanation:
Lightning is a discharge which is due to the reaction between oppositely charged charges in the clouds, or between clouds base and the Earth surface.
The motion of the cloud causes charging of clouds by friction, thus the reaction between opposite charges (jumping of charges from one cloud to another) in the cloud can lead to lightning. Also, oftentimes the bottom of a cloud is negatively charged so that this is attracted to the positive charge on the earth surface. Thus leading to a discharge called lightning.
Thus in the given question, the appropriate option is C. This implies that, lightning may be accompanied by the sound of explosively expanding hot air, called thunder.
Un pez llamado PARGO ROJO vive a grandes profundidades. Si se pesca, al salir a la superficie puede tomar el aspecto de la foto porque su vejiga natatoria aumenta de volumen al disminuir la presión. La ley que lo explica es...
Answer:
Hay diversas leyes que podemos usar acá.
Acá sabemos que la vejiga aumenta su tamaño al reducir la presión, esto tiene sentido, pues al haber menos presión, hay menos fuerza que comprime la vejiga, lo que le permite aumentar su volumen.
Acá tenemos una relación inversa de la forma: V = K/P
Una relación inversa donde la presión esta en el denominador y K es un termino que no depende ni del volumen ni de la presión.
Entonces, a medida que aumenta P, el denominador aumenta, por lo que el valor del volumen decrece.
Un ejemplo de una ecuación similar es la del gas ideal, por ejemplo, para un gas ideal dentro de un globo de volumen V para una dada presión P:
V = nRT/P
donde n es el numero de moles, R es la constante termodinámica y T es la temperatura, acá podemos ver que esta ecuación tiene la misma forma fundamental que la escrita arriba.
If a car is moving +14m/s is to stop within 2 seconds, what must the car's acceleration be?
Acceleration is -7 m/s²
Explanation:
initial velocity (u) = 14 m/s
since it's gonna stop,
final velocity (v) = 0m/s
time taken(t) = 2 seconds
now,
a = (v-u)/t
or, a = (0-14)/2
or, a = -14/2
a = -7m/s²
why is the answer A and not C?
please help!
Answer:
because it gives a complete thought
TRUE / FALSE. in the following reaction, identify whether carbon has underdone reduction or oxidation, and determine how the oxidation number of carbon has changed.
Following the reaction, carbon underwent both reduction and oxidation, changing its oxidation number to the following values: :
a. Carbon undergoes oxidation (+4).
b. Carbon undergoes oxidation (+2).
c. Carbon undergoes oxidation (+4).
d. Carbon undergoes reduction (-1).
e. Carbon undergoes reduction (-4).
Let's analyze each reaction to determine whether carbon has undergone reduction or oxidation and how the oxidation number of carbon has changed:
a. C + 2 CI₂ ⟶ CCI₄:
In this reaction, carbon undergoes oxidation. The oxidation state of carbon changes from 0 to +4 in CCI₄.
b. 2 C + O₂ ⟶ 2 CO:
In this reaction, carbon undergoes oxidation. The oxidation state of carbon changes from 0 to +2 in CO.
c. C + O₂ ⟶ CO₂:
In this reaction, carbon undergoes oxidation. The oxidation state of carbon changes from 0 to +4 in CO₂.
d. C₂H₂ +I₂ ⟶ C₂H₂I₂:
In this reaction, carbon undergoes reduction. The oxidation state of carbon changes from 0 to -1 in C₂H₂I₂.
e. C + 2 H₂ ⟶ CH₄:
In this reaction, carbon undergoes reduction. The oxidation state of carbon changes from 0 to -4 in CH₄.
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Complete question :
In the following reaction, identify whether carbon has underdone reduction or oxidation, and determine how the oxidation number of carbon has changed.
a. C + 2 CI₂ ⟶ CCI₄
b. 2 C + O₂⟶2 CO
c. C + O₂ ⟶ CO₂
d. C₂H₂ +I₂⟶ C₂H₂I₂
e. C + 2 H₂ ⟶ CH₄
a proton moves in the direction shown in a uni- form magnetic field. at this instant, which arrow points in the direc- tion of the force on the proton by the magnetic field?
When the proton starts to move upward the direction of the magnetic force changes and when the proton moves straight up the magnetic force turns to the left.
The direction of the force is perpendicular to the direction of the magnetic field and current, as given by Fleming's left-hand rule. Here the magnetic field is to the right and the direction of the current is upward. Protons feel a force on themselves due to the magnetic field. The force on the proton is proportional to the proton's magnetic flux density and velocity.
The velocity and momentum of a proton are affected by the force acting on it. If the velocity of a charged particle is perfectly parallel to the magnetic field, the magnetic field exerts no force on the particle, so the velocity remains constant. The momentum of a proton moving freely in a magnetic field is the product of the proton's mass and the proton's velocity. As the speed of a proton moving in a magnetic field changes, so does the momentum of the proton.
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a light ray is incident from material 1 to material 2 and undergoes total internal reflection. if material 1 has an index of refraction of 1.2, which of the following are possibilities for the index of refraction of material 2? select all that apply. group of answer choices 1.5 1.0 1.4 1.2 0.9
The possibilities for the index of refraction of material 2 that allow for total internal reflection are 1.5, 1.4, and 1.2.
When a light ray passes from one medium to another, it undergoes refraction based on the difference in the indices of refraction of the two media. However, in the case of total internal reflection, the angle of incidence is greater than the critical angle and the light ray reflects back into the same medium instead of refracting into the second medium.
Now, if a light ray is incident from material 1 with an index of refraction of 1.2, and it undergoes total internal reflection, then the angle of incidence must be greater than the critical angle of material 1. This critical angle depends on the index of refraction of material 1 and the index of refraction of the second medium.
From the given options, we can see that the index of refraction of material 2 can be 1.5, 1.4, or 1.2, because for these values, the critical angle of material 1 is less than 90 degrees. However, if the index of refraction of material 2 is 1.0 or 0.9, the critical angle of material 1 will be greater than 90 degrees, and there will be no total internal reflection.
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Make a plot of B vs. 1/R from the data obtained in Step 7 above. What is the functional dependence of the curve? What does it represent? If the electron's velocity were relativistic, (>108 m/s), the equations derived for this experiment would not be valid. Using the highest CRT potential that you used, calculate the electron's velocity from Equation 7. Is it relativistic? How would you arrange the CRT and Helmholtz coils to cause the electron beam to undergo a helical (or spiral) motion? Draw a sketch of your proposed arrangement showing the directions of v,B, and F. Data for a fixed (x,y) or (x,−y) location: R=0.26 m Average value for e/mc=7.68.4 1) 1.6584 Data for a fixed CRT Potential: V=2kV Average value for e/me=1.5895×100
The CRT and Helmholtz coils can be arranged to cause the electron beam to undergo a helical (or spiral) motion by orienting the Helmholtz coils in the direction of the magnetic field's axis and perpendicular to the electron's velocity. The CRT and Helmholtz coils should be placed such that the electrons move into the paper.
The experiment shows the b of an electron in a magnetic field. The data for a fixed (x,y) or (x,−y) location are given as R = 0.26 m and the average value for e/mc = 7.68.4 and 1/R is 1.6584. A plot of B vs. 1/R can be made from the data obtained in Step 7 above. The functional dependence of the curve is given as B = k/R2, where k is the constant of proportionality. The curve represents the magnetic field's effect on the electrons, which will be subjected to magnetic forces when moving through a magnetic field. The electron's velocity is not relativistic since the highest CRT potential used is V = 2 kV. The electron's velocity can be calculated from Equation 7, which gives v = 1.36 × 106 m/s. The force, magnetic field, and velocity directions should be as shown in the figure below: In the figure above, the helix is the trajectory of the electron's motion through the CRT and Helmholtz coils. The directions of v, B, and F are shown. The path of the electron is a helix in the x-y plane, and the electron's velocity is perpendicular to the magnetic field.
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A person weighing 645 N climbs up a ladder to a height of 4.55 m what is the increase in gravitational energy
Answer: 2934.75 Joules
Explanation:
Potential energy can be defined as energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
P.E = mgh
Where P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per second square.
h represents the height measured in meters.
Given the following data;
Weight =645
Height = 4.55
P.E = mgh
But we know that weight = mg = 645N
Substituting into the equation, we have;
P.E = 645 • 4.55
P.E = 2934.75J
Potential energy, P.E = 2934.75 Joules.
the power in an electrical circuit is given by the equation p=/2 R, where /is the current flowing through the circuit and R is the resistance of the circuit. what is the power in a circuit that has a current of 12
A. 120 watts
B. 8.3 watts
C.144 watts
D. 14,400 watts
Complete Question:
What is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms?
Answer:
D. 14,400 watts
Explanation:
The electrical power of an electric circuit can be defined as a measure of the rate at which energy is either produced or absorbed in the circuit.
Mathematically, electrical power is given by the formula;
\( Electrical \; power = current * voltage \)
This ultimately implies that, the quantity (current times voltage ) is electrical power and it is measured (S.I units) in Watt (W).
Given the following data;
Current = 12 AmperesResistance = 100 OhmsTo find the power in the circuit, we would use the following formula;
Power = I²R
Where;
I is current measured in Amperes.R is resistance measured in Ohms.Power = 12² * 100
Power = 144 * 100
Power = 144,000 Watts
1. You are floating in a canoe in the middle of a swimming pool. Your friend is at the edge of the pool, carefully noting the level of the water on the side of the pool. You have a bowling ball with you in the canoe. If you carefully drop the bowling ball over the side of the canoe and it sinks to the bottom of the pool, does the water level in the pool rise or fall?
Answer:
lower
Explanation:
When you move the ball from your canoe to the water causes the water level to fall
If you carefully drop the bowling ball over the side of the canoe, and it sinks to the bottom of the pool, the water level in the pool will fall.
How to measure water level?Both the bowling ball and the canoe will float on top of the water when they are in a canoe because they will displace more water than they can hold. However, if dropped, the ball will plummet to the bottom of the pool.
The bowl sinks because it is denser than water. The ball will in this scenario move less water than its own volume.
Therefore, when the ball is with you in the canoe in the second scenario, the volume of water displaced will be less than in the first example. Consequently, lower volume
Therefore, the water level in the pool will drop if you carefully toss the bowling ball over the side of the canoe and let it land at the bottom of the pool.
To learn more about the water level, refer to the link:
https://brainly.com/question/17750427
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