The satellite's total energy in its stable orbit at an altitude of 4.0 × 10⁵ m above Earth's surface is approximately -1.052 × 10¹¹ Joules, predominantly gravitational potential energy.
To calculate the satellite's total energy in this orbit.
Given:
m₁ (mass of satellite) = 1500 kg
m₂ (mass of Earth) = 5.972 × 10²⁴ kg
r (distance from center of Earth to satellite) = 4.0 × 10⁵m + 6.371 × 10⁶ m
First, let's calculate the gravitational potential energy (U):
U = -G * (m₁ * m₂) / r
U = -6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻² * (1500 kg * 5.972 × 10²⁴ kg) / (4.0 × 10⁵ m + 6.371 × 10⁶ m)
Calculating this expression:
U ≈ -1.123 × 10¹¹ J
Next, let's calculate the velocity of the satellite (v):
v = sqrt(G * m₂ / r)
v = sqrt(6.674 × 10⁻¹¹ m³ kg⁻¹s⁻² * 5.972 × 10²⁴ kg / (4.0 × 10⁵ m + 6.371 × 10⁶ m))
Calculating this expression:
v ≈ 3077 m/s
Now, let's calculate the kinetic energy (K):
K = (1/2) * m1 * v²
K = (1/2) * 1500 kg * (3077 m/s)²
Calculating this expression:
K ≈ 7.096 × 10⁹ J
Finally, let's calculate the total energy (E):
E = U + K
E = -1.123 × 10¹¹J + 7.096 × 10⁹ J
Calculating this expression:
E ≈ -1.052 × 10¹¹J
Therefore, The satellite's total energy in this orbit is approximately -1.052 × 10¹¹ Joules. The negative sign indicates that the energy is gravitational potential energy dominated, as expected in a stable orbit.
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a load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is:
A load of 60 j 80 has a current of 9.60 a with a phase angle of 30o, the real power absorbed by the load is P=5529.61W
Z₁ = 60+j80
I=96/30 A
VL= 2. ZL= (9.6(30) 60+j80)
V₁ =(19.6/30") (100|53.136)
Vl=960 (83.130) V
power absorbed by Land
= (960) (9.6) cos(83.136 - 30°)
P=5529.61W
Real power is the amount of energy that is actually consumed by the resistive load, whereas perceived power is the amount of energy that the grid must be able to handle. Real power is measured in watts, but apparent power is measured in VA (Volt Ampere),
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true/false - Sonar uses sound waves to measure water depth
Sonar (SOund Navigation And Ranging) uses sound waves to estimate water depth. It operates by producing a sound wave and monitoring how long it takes for the wave to bounce back after striking the ocean floor. The depth of the water may be determined based on this time measurement.
What is SONAR?Sonar is a technology for navigating, measuring distances, communicating with, or detecting things on or beneath the water's surface, such as other vessels. Sonar (from "sound navigation range") is an acoustic technology for detecting and estimating the distance and direction of underwater objects. Sonar equipment detects and analyzes sound waves generated or reflected by the item for the information they convey. sonar.
Here,
Sonar (SOund Navigation And Ranging) does utilize sound waves to estimate water depth. It operates by sending out a sound wave and monitoring how long it takes for the wave to bounce back after reaching the ocean floor. The depth of the water may be determined using this time measurement.
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The statements below represent each step of the Scientific Method based upon a research study conducted about the effects of fast food reported by ABC news, which you can view HERE. Match each statement to the appropriate step of the Scientific Method. Example: Will people who eat fast food, daily, develop symptoms of poor health related to obesity? Observation/Question Answer:
A. Hypothesis (What do you believe will happen?) B. Experiment (Procedures that lead to a discovery or test a hypothesis.) C. Results (The outcome of the experiment.) ___. The hypothesis was supported by the data; the increased intake of calories in the experimental group increased the likelihood of developing hypertension. ___. An experimental group of 20 subjects will consume an extra 1000 calories per day from fast food, in addition to their normal daily caloric intake. A control group of 20 subjects will not consume an extra 1000 calories from fast food and will continue with their normal diet. The blood pressure of each subject in both groups will be recorded once per week for eight weeks. ___. People who increased their caloric intake by 1000 calories per day are more likely to develop hypertension (high blood pressure). ___. After eight weeks, 70% of subjects in the experimental group had developed hypertension. In the control group, only 5% of subjects developed hypertension.
A. Hypothesis (What do you believe will happen?) People who increased their caloric intake by 1000 calories per day are more likely to develop hypertension (high blood pressure).
What is Hypothesis ?Hypothesis is a process of generating testable predictions about a certain phenomenon. It is an educated guess or explanation of a certain phenomenon, based on available facts and evidence. It is the starting point for further investigation and helps to determine the outcome of a scientific experiment. Hypothesis helps to develop a framework of understanding and can be used to create further predictions. It is an essential step in the scientific method, as it helps to structure an experiment and provide a basis for further evaluation.
B. Experiment (Procedures that lead to a discovery or test a hypothesis.) An experimental group of 20 subjects will consume an extra 1000 calories per day from fast food, in addition to their normal daily caloric intake. A control group of 20 subjects will not consume an extra 1000 calories from fast food and will continue with their normal diet. The blood pressure of each subject in both groups will be recorded once per week for eight weeks.
C. Results (The outcome of the experiment.) After eight weeks, 70% of subjects in the experimental group had developed hypertension. In the control group, only 5% of subjects developed hypertension. The hypothesis was supported by the data; the increased intake of calories in the experimental group increased the likelihood of developing hypertension.
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sketch at least two cycles of the voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle. label your axes clearly. what is the frequency of this waveform?
The sketch for the voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle would look like this:
The x-axis represents time and the y-axis represents voltage.The frequency of this waveform is 83.3 kHz (1/12 us).The voltage vs time graph for an ideal periodic digital waveform with a 1.0 volt amplitude, a 12 us period and a 25% duty cycle is a type of waveform that is commonly used in digital electronics. This type of waveform is important because it is used to represent the logical states of digital circuits, such as 0's and 1's.
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The accelerations possible for a ball on an incline plane
A. Range from g to infinity
B. Have no limit
C. Range for 0 to g
A ball on an inclined plane (C) can accelerate at speeds between 0 and g.
An inclined plane, also referred to as a ramp, is a flat supporting surface that is tilted at an angle and has one end that is higher than the other.
One of the six simple machines, the inclined plane helps raise or lower a load. The unbalanced force causes objects placed on an inclined plane to accelerate.
In an inclined plane, the normal force does not act in the way that we are used to. Up until this point, normal force has always been seen to be directed upward, counter to the pull of gravity.
The truth is that normal forces are not always upward.
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when the velocity and acceleration of an object have opposite signs, the speed of the object increases. T/F
when the velocity and acceleration of an object have opposite signs, the speed of the object increases, is true statement.
What is velocity and how is it related to acceleration?Velocity is a vector quantity that represents the rate of change of an object's position with respect to time, including both the speed and direction of motion. It is defined as the derivative of position with respect to time. Acceleration and velocity are closely related quantities in mechanics. Acceleration is defined as the rate of change of velocity over time. In other words, acceleration is the derivative of velocity with respect to time. When an object's velocity is increasing, its acceleration is positive, and when its velocity is decreasing, its acceleration is negative. If an object is moving at a constant velocity, its acceleration is zero.
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Help please!!! What is the difference between corrosive and flammable?
Answer:
Explanation:
Most corrosive materials are non-flammable, except for acetic acid and formic acid. However, nitric acid and perchloric acid are oxidizers and should be segregated from combustible and flammable materials. Corrosive materials can have other hazards, however, the corrosivity is usually the primary hazard.Flammable liquids burn at normal working temperatures while combustible liquids need heat before they will ignite All this info should help…. ✨
Which of the following do you see moving with constant velocity? (There may be more than one correct answer.) A. A person riding on a Ferris wheel that is turning at a constant rate B. A can of soda sitting on a table C. A tennis ball traveling across the court after having been hit by a tennis racket D. A ship sailing northeast at a speed of 5 meters per second
E. The Moon orbiting the Earth
The options 1 and 4 are correct given that the concept of constant velocity applies to their situation where, and object moves in a constant speed and direction.
What is velocity?
Velocity is the directional speed of an object in motion as an indication of its rate of change of position, as observed from a specific frame of reference and as measured by a specific time standard (e.g. 60 km/h heading north). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.To know more about velocity, click the link given below:
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If F = 5 kN and theta = 30 degree, determine the magnitude of the resultant force and its direction (measured counterclockwise from the positive x axis).
Given a force F = 5 kN operating at an angle of = 30°, the size of the resulting force may be calculated as follows:[tex]\begin{equation}(F 2+F 2-2 F x F \cos ())=R\end{equation}[/tex] is the resulting force's size.
F is the magnitude of each force, and is the angle between the forces. When we plug in the values, we get: [tex]R = √(5^2 + 5^2 - 2 * 5 * 5 * cos(30°)) R = √(25 + 25 - 50 * √(3)/2) R = √(50 - 25 * √(3)) R = √(50 * (1 - √(3))) R = √(50 * (√(3) - 1)) R ≈ 7.07 N[/tex] The inverse tangent (arctan) function may be used to calculate the direction of the resulting force, as shown below: arctan(Fsin() / (Fcos() + F)) where is the resulting force angle measured counterclockwise from the positive x-axis. When we plug in the values, we get: [tex]arctan(5 * sin(30°) / (5 * cos(30°) + 5) arctan(0.5 / 2.5) = Φ ≈ 14.04°[/tex] As a result, the resulting force has a value of roughly 7.07 N and a direction of approximately 14.04° counterclockwise from the positive x-axis.
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You hit a ball with a bat that delivers 100 N of force. Which of the following scenerios will give the ball the greatest speed.
Time doesnt matteronly the force does.
Try to apply the 100 N force for 0.01 s.
Try to apply the 100 N force for 0.1 s
Try to apply the 100 N force for 0.2 s.
None of these
Answer:
Try to apply the 100 N for 0.2 s.
the force that charge q1 exerts on q2 is opposite and ________ the force that charge q2 exerts on q1.
The force that charge q1 exerts on q2 is opposite and equal in magnitude to the force that charge q2 exerts on q1.
What is charge?
Charge is a physical property of matter that can be either negative or positive. It is related to the electromagnetic force, and is measured in coulombs. Charge is the cause of electric fields and electric potential, which are important in many areas of physics and chemistry. Charge can be transferred from one object to another, and is conserved in any physical process. Charge can also be created from the motion of matter through a medium, such as when electrons are pushed from one material to another. Charge is always conserved, meaning that the net charge of a system will always be the same.
Therefore, The force that charge q1 exerts on q2 is opposite and equal in magnitude to the force that charge q2 exerts on q1.
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An electron is ejected horizontally, with a speed of 1. 5 x 10^6 m/s, from the electron gun of a tv set. If the viewing screen is 35 cm away from the end of the gun, how far will the electron fall or travel in the vertical direction before hitting the screen?.
The electron's motion can be described as a combination of constant-speed horizontal motion and gravity-influenced vertical motion. The vertical motion can be described using the following equation:
y = v₀t + (1/2)gt²
where y represents vertical displacement, v0 represents initial vertical velocity (0 m/s), t represents the time elapsed, g represents gravity's acceleration (9.8 m/s²), and t represents the time elapsed.
Because the electron moves horizontally at a constant speed, its horizontal distance can be expressed as:
x = vt
where v denotes horizontal velocity (1.5 x 10(6) m/s).
We can use the relationship between horizontal and vertical distances to calculate the time elapsed:
35 cm = 0.35 m x = vt
t = x / v
Plugging in the values:
t = 0.35 m / (1.5 x 10⁶ m/s)
Substituting the time elapsed into the equation for the vertical displacement:
y = v₀t + (1/2)gt²
y = 0 m/s + (1/2)(9.8 m/s²)(t²)
So the electron will fall a distance of y in the vertical direction before hitting the screen.
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charge q1 = 3.00 nc is at x1 = 0 and charge q2 = 7.50 nc is at x2 = 4.00 m. at what point between the two charges is the electric field equal to zero
The point between the two charges where the electric field equal to zero is calculated to be 1.55 m.
The charge q₁ is given as 3 nc = 3 × 10⁻⁹ c
It is located at x₁ = 0.
The charge q₂ is given as 7.5 nc = 7.5 × 10⁻⁹ c
It is located at x₂ = 4 m.
Let us suppose that, electric field is zero at the point x, it is in between 0 and 4 m.
We know the formula for electric field as,
E = k q /r²
Let us equate the electric field at both the charges.
k q₁/x² = k q₂/(x₂ - x)²
q₁ (x₂ - x)² = q₂ x²
3 × 10⁻⁹× (4 - x)² = 7.5 × 10⁻⁹ × x²
3 × ( 16 + x² - 8x) = 7.5 ×x²
48 + 3x² - 24x = 7.5x²
4.5 x² + 24x - 48 = 0
The two values of x are,
x = 1.55, -6.883
The distance cannot be negative. So, the electric field at x = 1.55 m is said to be zero.
Thus, the required value of x is 1.55 m.
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A positive charge and a negative charge held near each other are released. As they move, the force on each particle a. increases. b, decreases. c. stays the same.Â
Placing a conductor increases the force between two charges because in the case of glass or other dielectrics, the effective distance between two charges rises as opposed to decreasing.
What occurs when a positive and negative charge are in close proximity to one another?Each charge repels the other. When a positive charge and a negative charge interact, their forces move from the positive to the negative charge in the same manner. Because of this, opposing charges are drawn to one another: the ensuing forces and electric field created by two electrical charges with different polarities.
What is the definition of Coulomb's law of force between charges?Coulomb listed the following characteristics of the electric force for charges in a resting state: Unlike charges attract each other whereas like charges repel one another. the two positive charges attract a negative charge, while negative charges repel one another.
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which of the following statements is not one of newton's laws of motion? group of answer choices in the absence of a net force, an object moves with constant velocity. for any force, there always is an equal and opposite reaction force. what goes up must come down. all of the above are newton's laws of motion. the rate of change of momentum of an object is equal to the net force applied to the object.
"What goes up must come down." is not newton's law. Option C is the correct option.
What is laws?
Laws of Physics are by definition stated facts that have been derived and inferred from empirical observations. Simply put, physical laws are a way to categorize how the world behaves and interacts with us.
Newton's laws are:
First law:
Unless a force acts upon a body that is at rest or moving in a straight line at a constant speed, it will continue to be at rest or move in that direction.
Second law:
A numerical description of the modifications to a body's motion that a force can cause. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction.
Third law:
When two bodies come into contact, they exert forces on one another that are both equal in strength and directed in opposing directions.
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Four point-like charges are placed as shown in the figure, three of them are at the corners and one at the center of a square, 30.0 cm on each side. Find the magnitude of the net electrostatic force exerted on the point charge q4. Let q1 = q 3 = +31.0 pC, q2 = -23.0 µC, and q4 = -45.0 µC.
As a result, the point charge q₄ experiences a net electrostatic force of 4.80 x 10⁻² N.
What is the charge?The sum of the forces exerted on the point charge q₄ by the three other point charges is the magnitude of the net electrostatic force on that charge:
We can use Coulomb's law to determine the magnitude of [tex]F_{net}[/tex] :
[tex]F_{net}[/tex] = F₁₂ + F₁₃ + F₂
F is equal to k × |q₁×q₂ / r₂,
where k is the Coulomb's constant, q₁ and q₂ are the charges of the two points, and r is the distance between the points.
The side of the square is the distance r for F₁₂,
so r = 30.0 cm.
F₁₂ = k × |(31.0 pC)× (-23.0 C) / (30.0 cm)²
F₁₃ and F₂₃ have the same equation, but the charges are different, so we can calculate them in the same way.
We can then add the three forces to get the net force on q₄:
F₁₃ = k × |(31.0 pC)× |(-45.0 °C)| / (30.0 cm)²
F₂₃ = k × |(-23.0 °C)× |(-45.0 °C)| / (30.0 cm)²
Fnet = F₁₂ + F₁₃ + F₂₃
Fnet = (k × |(31.0 pC) × (-23.0 C)| / (30.0 cm)2) + (k × |(31.0 pC) × (-45.0 C)| / (30.0 cm)²) + (k × |(-23.0 C) × (-45.0 C)| / (30.0 cm)²)
When the charges and the distance are substituted
The magnitude of the net electrostatic force exerted on the point
charge q₄ is 4.80 x 10⁻² N
Fnet = (8.99 x 10⁹ Nm²/C² × |(31.0 pC)×(-23.0 °C)| / (30.0 cm)²) + (8.99 x 10⁹ Nm²/C² × |(31.0 pC) × (-45.0 °C)| / (30.0 cm)²)
[tex]F_{net}[/tex] = 4.80 × 10 ⁻²
What gives rise to electric charge?When electrons are added to or taken away from an object, an electrical charge is created. When electrons are added to an object, it takes on a negative charge due to their negative charge. Positive charge is created when an object loses its electrons.
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Please answer this by 8!! Thank you so much!!
Answer:
A
Explanation:
because i just knowg a hdduehdudhdreheiei
a 150 watt bulb has a surface area of 15 cm, a radius 0.05 m and an emissivity of 0.85. what is the temperature?
The temperature of a 150-watt bulb having a surface area of 15 cm², a radius of 0.05 m, and an emissivity of 0.85 is 1200K.
According to the Stefan-Boltzmann law, P=eσAT⁴. The power of the bulb is 150 watts. The value of emissivity, e=0.85, and the radius, r=0.05m. The surface area, A= 15 cm²= 0.0015 cm². The value of the Boltzmann constant,σ =5.67×10⁻⁸ Wm² K⁴. So, the temperature,T⁴= P/eσA = 150/(0.85×5.67×10⁻⁸×0.0015) =(150×10⁸)/ (0.85×5.67×0.0015) = 20750×10⁸. Therefore Temperature,T= (20750×10⁸)^¼ = 1200 K.
So the temperature of the 150-watt bulb is 1200 K. Stefan-Boltzmann describes about the power that is radiated by a black body in terms of temperature. It states that the amount of radiation emitted by a black body per unit area is directly proportional to the fourth power of the temperature. While the typical situation is envisioned here is the radiation of a hot object to its cooler surroundings, this law is not limited here.
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What is the equilibrant force for 53 newtons, W: 28 newtons, S:12
newtons, N; 24 newtons, E?
The equilibrant force is 45 N, acting in the direction opposite to the net force.
What is meant by equilibrant force?The equilibrant force is the force that is required to balance all other forces acting on an object in a specific situation. To find the equilibrant force for the given forces, you need to determine the net force acting on the object.
The net force can be found by adding the individual forces acting on the object:
Net force = 53 N + 28 N - 12 N - 24 N = 45 N
Equilibrant force = - 45 N = 45 N, acting in the opposite direction of the net force.
In this case, the equilibrant force is 45 N, acting in the direction opposite to the net force.
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a centripetal force of 155 n acts on a 1,500-kg satellite moving with a speed of 5,300 m/s in a circular orbit around a planet. what is the radius of its orbit?
A centripetal force of 155 n acts on a 1,500-kg satellite moving with a speed of 5,300 m/s in a circular orbit around a planet. The radius of its orbit is 1.35 x [tex]10^{7}[/tex] meters.
The radius of a satellite's orbit can be calculated using the equation for centripetal force:
F = m * [tex]v^{2}[/tex]/ r
Where,
m = the mass of the satellite
v = its speed
r = the radius of its orbit.
Rearranging the equation and plugging in the given values:
r = m * [tex]v^{2}[/tex] / F = (1500 kg) * [tex](5300 m/s)^{2}[/tex] / (155 N)
r = approximately 1.35 x [tex]10^{7}[/tex] meters.
So the radius of the satellite's orbit is approximately 1.35 x [tex]10^{7}[/tex] meters.
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A uniform beam xy is 100 cm long and weighs 4. 0 n. The beam rests on a pivot 60 cm from end x. A load of 8. 0 n hangs from the beam 10 cm from end x. The beam is kept balanced by a force f acting on the beam 80 cm from end x. What is the magnitude of force f?.
To keep the balance the beam's required magnitude of force f will be 22 N.
Given,
Length of the beam, xy = 100cm
Pivoted at 60 cm from end x
Weight force at 50 cm from x, W = 4 N
force due to hanging mass, F = 8 N 10 cm from x
and f at 80 cm at x.
Now, let the direction of force f is downward
so we have to balance the moment due to all the forces about the pivot,
So the total clockwise moment
= fx(80-60) = 20f Ncm
And anti-clockwise moment
= Wx(60-50) + F(60-10) = 4x10+8x50 = 440 Ncm
Now anticlockwise moment = Clockwise moment
or 20f = 440
or f = 22 N
Therefore, To keep the balance the beam's required magnitude of force f will be 22 N.
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if a star of mass 2 solar masses has a planet with a period of 2 years, then what is the planet's separation (distance) from the star?
If a star of mass 2 solar masses has a planet with a period of 2 years, then 2AU is the planet's separation (distance) from the star.
What is the harmonic third law of Kepler?The orbital period of a planet—the amount of time it takes for one orbit to complete—relates to its mean distance from the Sun according to Kepler's third law, often known as the Harmonic Law. The closest planets have the fastest speeds and the shortest orbital periods, according to this law. History. In 1609, Kepler published his first two planetary motion laws, which he had discovered by examining Tycho Brahe's astronomical data. In 1619, Kepler's third law was made public.
we have Keplers third law of planetry motions as
[tex]p^{2}=a^{3}/(M_{s}+M_{p})[/tex]
where
p= period
a= distance in AU
Ms= mass of star
Mp=mass of planet
we will assume
Ms + Mp = Ms
(As mas of planet is very small compare to star)
Now,
2² x 2 = a³
a = 2 AU
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WILL MARK BRAINLIEST!!
A truck of a mass of 2 tons is traveling north at a speed v=70 km/h collides with a car of mass of 1.2 tons moving south at an equal speed. After collision, both vehicles remain tangled together.
With what speed and in what direction does the wreckage move?
(Would love it if it's solved in the GUESS method, but if not it's okay!)
The final speed of the wreckage after the collision is 17.5 km/h north.
What is the final speed of the wreckage after the collision?
The final speed of the wreckage after the collision is calculated by applying the principle of conservation of linear momentum.
m₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is the mass of the truckm₂ is the mass of the caru₁ is the initial speed of the trucku₂ is the initial speed of the carv is their final speed after the collisionlet north be positive and let south be negative direction
The final speed is calculated as follows;
(2 x 70) - (1.2 x 70) = v ( 2 + 1.2 )
56 = 3.2v
v = 56/3.2
v = 17.5 km/h north
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A speed versus time graph is shown:
Which statement accurately describes the motion of the object in the graph above?
Group of answer choices
From 2s to 6s, the object is at rest.
From 0s to 4s, the object is moving at 1.5 cm/s.
From 6s to 7s, the object speeds up.
From 2s to 6s, the object is moving at 1.5 cm/s.
The statement accurately describes the motion of the object in the graph above is from 2s to 6s, the object is moving at 1.5 cm/s.
option D is the correct answer
What is speed time graph?
A speed time graph is a graph that shows the motion of an object against time. They can also be referred to as velocity-time graphs.
The motion of the object in the graph above can be described as follows;
between 0 to 2 seconds, the speed of the object = 0 cm/s
between 2 to 6 seconds, the speed of the object = 1.5 cm/s
between 6 to 8 seconds, the speed of the object = 0 cm/s
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Paper clip Y is not attracted to the magnet. Which step should the student take to attract it?
O A The student should use a battery with less energy.
O
8
D
The student should use a smaller core in the magnet.
The student should wrap the coil fewer times around the nail.
The student should move the magnet closer to the paper clip.
Answer:d
Explanation:magnet is to weak
Answer: that means to shut your trap you little turd
Explanation:
A low-carbon steel tensile specimen with starting gage length = 2. 0 in and cross sectional area = 0. 5 in2 reaches a maximum load of 20,000 lb. Its elongation at this point is 25%. Determine (a) tensile strength, (b) engineering strain, (c) true stress, and (d) true strain at this maximum load
(a) Tensile strength can be calculated using the formula:
Tensile strength = Maximum load / Cross-sectional area
Tensile strength = 20,000 lb / 0.5 in2 = 40,000 psi
(b) Engineering strain can be calculated using the formula:
Engineering strain = (Change in length) / (Initial length)
Engineering strain = (0.25 * 2.0 in) / 2.0 in = 0.25
(c) True stress can be calculated using the formula:
True stress = Maximum load / Original cross-sectional area
True stress = 20,000 lb / (0.5 in2 * (1 + 0.25)) = 26,666 psi
(d) True strain can be calculated using the formula:
True strain = ln (1 + Engineering strain)
True strain = ln (1 + 0.25) = 0.2586
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four or fewer luminaire conductors, smaller than awg, and/or small equipment grounding conductors that originate in the luminaire and terminate in the box, need not be counted when calculating box fill. a. 8 b. 10 c. 12 d. 14
Option a. 8 is the correct answer because Four or fewer luminaire conductors, smaller than AWG size, and small EGCs.
It's essential to guarantee that crates or nooks that contain electrical associations have sufficient space to oblige the transmitters and hardware establishing conveyors (EGCs) without surpassing the case fill limits determined by the Public Electrical Code (NEC).
As per the NEC, four or less luminaire channels, less than American Wire Check (AWG) size, and additionally little EGCs that start in the luminaire and end in the container need not be counted while computing box fill.
This standard is intended to give a specific level of adaptability and diminish the intricacy of box fill estimations, particularly in lighting establishments where luminaire guides and little EGCs are usually utilized. Notwithstanding, it's vital to take note of that this avoidance just applies to the guides and EGCs referenced, and different guides and fittings that consume space inside the container actually should be thought about while computing box fill.
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two charges are on the x-axis (see below). charge 1 is is 50.0 nc and is located 20.0 cm to the left of the origin. charge 2 is located 35.0 cm to the right of the origin. 1) what is the magnitude and direction of the electric field at the origin due to charge 1?
The electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.
What is Coulomb's Law?Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It is represented as F = (k * q1 * q2) / r2, where F is the force, k is a constant, q1 and q2 are the charges, and r is the distance between the two particles.
Charge 1: 50.0 nC, located 20.0 cm to the left of origin
Charge 2: 35.0 cm to the right of origin
Using Coulomb's Law, the electric field at the origin due to charge 1 is:
E1 = kQ1/r^2
Where:
k = 8.99 x 10^9 Nm^2/C^2
Q1 = 50.0 nC = 5.00 x 10^-7 C
r = 20.0 cm = 0.20 m
Therefore,
E1 = (8.99 x 10^9 Nm^2/C^2)(5.00 x 10^-7 C)/(0.20m)^2
E1 = 2.24 x 10^5 N/C
Hence, the electric field due to charge 1 at the origin is 2.24 x 10^5 N/C in the direction to the left.
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State laws of conservation and energy and prove it in case of a freely falling body
According to the law of conservation of energy, energy cannot be created or destroyed. Energy changes into different forms, and potential energy plus kinetic energy equals a constant.
The physical energy of the system is conserved in the scenario of a freely falling body. The kinetic energy (K) and potential energy (U) of the freely falling body are added to form mechanical energy (E).
Thus, E = K + U = constant.
Potential energy is the opposite of the work performed by a force that affects the body. In the case of earth's gravity, the potential energy of a body with mass m and height h is given by the equation:
PE = mgh.
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What is the correct way to report the length of the rectangle in centimeters? Select one: 15.60 cm 15.6 cm 15.600 cm 16 cM
The correct way to report the length of the rectangle in centimeters is 15.60 cm.
What do you mean by significant figures ?The number that is given as digits is established using significant figures. A meaningful representation of numbers is carried by these digits. Frequently, significant digits are employed in place of figures.
By counting all of the values beginning with the first non-zero digit on the left, we may determine the number of significant digits. 12.45, for instance, has four significant digits.
The act of determining an object's length in some standard or non-standard units is known as length measurement. In our daily lives, the ability to measure length is crucial.
Therefore, The correct way to report the length of the rectangle in centimeters is 15.60 cm.
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