Answer:
2 weeks.
Explanation:
Assuming the full moon is visible tonight, the new moon will appear in about 14 days (equivalent is 2 weeks). This is because the lunar cycle, from full moon to full moon or new moon to new moon, is approximately 28 days long.
If a full moon happens tonight, the time it will take until the new moon appears is about 2 weeks or generally 15 days. Therefore, the correct option for this question is D.
If the full moon is observed tonight, the appearance of the new moon will take about 15 days which is absolutely equivalent to 2 weeks. The phases of the moon may be significantly changed due to the rotation of the moon around the earth.
This whole phenomenon is described with the help of the lunar cycle. It may be changed from full moon to new moon or new moon to full moon. This whole alteration is one complete cycle that may take approximately 28 days long.
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The product of an object's mass and velocity is it's
A) acceleration
B) inertia
C) momentum
D) weight
Answer:
C) Momentum
Explanation:
Refers to an objects mass in motion.
1. On a force vs. mass graph, what would be the slope of the line?
2. On a Free Body Diagram, if the forces are all balanced, what do you know about the
object? Can it be moving?
1. By Newton's second law,
F = m a
so the slope of the line would represent the mass of the object.
2. If all the forces are balanced, then the object is in equilibrium with zero net force, which in turn means the object is not accelerating. So the object is either motionless or moving at a constant speed.
In a thermodynamic process, the internal energy of a system in a container with adiabatic walls decreases by 800 J. Which statement is correct
The correct statement is, the system performed 800 J of work on its surroundings.
The given parameters:
change in internal energy, ΔU = 800 JApply first law of thermodynamics;
ΔU = Q + W
where;
Q is the heat gainedW is the work done on the system by the surroundingIn adiabatic process no heat is gained or lost by the system.
Q = 0
ΔU = W (work is positive when it is done on the system by its surrounding)
If work is done by the system to the surrounding, the new equation becomes;
ΔU = - W
W = - ΔU
W = -800 J
This implies that the system performed 800 J of work on its surroundings.
"Your question is not complete, it seems to be missing the following information";
In a thermodynamic process, the internal energy of a system in a container with adiabatic walls decreases by 800 J. Which statement is correct?
a. The system lost 800 J by heat transfer to its surroundings.
b. The system gained 800 J by heat transfer from its surroundings.
c. The system performed 800 J of work on its surroundings.
d. The surroundings performed 800 J of work on the system.
e. The 800 J of work done by the system was equal to the 800 J of heat transferred to the system from its surroundings.
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A toy car is given an initial velocity of 5.0 m/s and experiences a constant
acceleration of 2.0 m/s/s. What is the final velocity after 6.0 s?
The final velocity after 6.0 s is
1304.2 .
What is velocity?
velocityis the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.
Solution -
As per the given-
Mass of runner m = 74kg
initial velocity of runner u=4.8 m/s
final velocity of runner v =0
Coefficient of friction ¥=0.7
Let's d be the distance moved by runner till the stop.
a- mechanical energy lost due to friction
As friction does negetive work causing the runner to stop.
As we know,
Mechanical energy lost= Kinetic energy of runner
Mechanical energy lost =
1/2 mv^2 = 1/2 ×74×4.8^2=852.2
Distance move by runner-
Work done by friction = mechanical energy lost
-¥×mg×d =852.2 j
-0.7×74×9.8×d = -491.2
Solving the equation we get
1304.2.
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A typical arteriole has a diameter of 0.080 mm and carries blood at the rate of 9.6 x10-5 cm3/s. What is the speed of the blood in (cm/s) the arteriole
Answer:
v= 4.823 × 10⁻⁹ cm/s
Explanation:
given
flow rate = 9.6 x10-5 cm³/s, d = 0.080mm
r = d/2= 0.080/2= 0.0040 cm
speed = rate of blood flow × area
v = (9.6 x 10⁻⁵ cm³/s) × (πr²)
v = (9.6 x 10⁻⁵ cm³/s) × π(0.0040 × cm)²
v= 1.536 × 10⁻⁹π cm/s
v= 4.823 × 10⁻⁹ cm/s
Give the SI base unit of each of these quantities Enter the abbreviation rather than the name of the unit: time: mass: Kg length:m
Time: s (second)
Mass: kg (kilogram)
Length: m (meter)
What are the SI units?The SI units (International System of Units) are a standard system of measurement used in science, engineering, and many other fields. They provide a universal language for expressing and comparing measurements. The SI units are based on seven fundamental physical quantities, and each of these quantities is associated with a specific base unit, which is defined independently of any other unit.
Seven base units of the SI system are:
Length: meter (m)
Mass: kilogram (kg)
Time: second (s)
Electric current: ampere (A)
Temperature: kelvin (K)
Amount of substance: mole (mol)
Luminous intensity: candela (cd)
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Which type of research would be most appropriate for a research looking to see how drinking coffee impacts college students' grade point averages (GPAs)?
A type of research which would be most appropriate for a research looking to see how drinking coffee impacts college students' grade point averages (GPAs) is a survey.
What is a research method?In Science, a research method can be defined as the scientific methods or techniques that are adopted by a researcher for the collection and analysis of data.
What are the types of research method?Generally speaking, there are different types of research method that are used for the collection of data and these include the following:
Focus groups.Mixed methodsExperiments.ObservationSecondary data analysis.Interviews.Surveys.In Science, a survey simply refers to a type of research method that uses various data collection methods such as questionnaires and interviews, which favors it in revealing correlations between two data variables such as the relationship between coffee and college students' grade point averages (GPAs).
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How is thermal energy being transferred when steam rises from a beaker of boiling water?
O A. Conduction
• B. Radiation
O c. Translation O D. Convection
Answer:
d. convention
Explanation:
hope this helped
What is the magnitude and direction of the magnetic force on the bob at the lowest point in its path, if it has a positive 0.250 μC charge and is released from a height of 30.0 cm above its lowest point? The magnetic field strength is 1.50 T.
Answer:
\(F=9.09\times 10^{-7}\ N\)
Explanation:
Given that,
Charge, q = 0.250 μC
It is released from a height of 30 cm or 0.03 m
The magnetic field strength is 1.50 T.
First we find the velocity using the conservation of energy as follows :
\(mgh=\dfrac{1}{2}mv^2\\\\v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 0.3} \\\\v=2.424\ m/s\)
Now, the magnetic force is given by :
\(F=qvB\\\\=0.25\times 10^{-6}\times 2.424\times 1.5\\\\=9.09\times 10^{-7}\ N\)
So, the magnetic force is \(9.09\times 10^{-7}\ N\). Since, the bob is at the lowest point, the direction of the magnetic force at the lowest point is upward.
pls help Wilhelm Wundt, the “father of psychology,” studied consciousness using introspection. How was this introspection MOST likely demonstrated?
a.His subjects were hooked up to machines to read their brain waves.
b.His subjects examined and shared their own feelings and thoughts.
c.His subjects lived their day-to-day lives, and Wundt observed their actions.
d.His subjects were watched while they were sleeping to map their REM sleep.
Wundt studies consciousness using introspection because his subjects examined and shared their own feelings and thoughts. Wundt was the first psychologist.
Introspection refers to the examination of one's own mental and/or emotional mechanisms and processes.
Wilhelm Wundt was a distinguished psychologist who demonstrated that introspection is a highly practiced mechanism of self-examination.
W. Wundt developed the theory of conscious thought by indicating that conscious mental states can be scientifically (empirically) studied by using introspection.
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Answer: B His subjects examined and shared their own feelings and thoughts.
Explanation: Just took the test
Which phenomenon related to light allows scientists to measure the distance between a star and Earth? A. Dark patches appear in the electromagnetic spectrum emitted by stars. B. Light waves spread out as they move farther from their source. C. Stars have different colors based on their temperature. D. Stars have unique elements that make up their atmospheres.
Answer:
The Answer Is B not C
Explanation:
Answer:b
Explanation:
If the radius of curvature of the bump is 52 m, find the apparent weight of a 62-kg person in your car as you pass over the top of the bump. Express your answer using two significant figures.
Answer:
The answer is below
Explanation:
Driving in your car with a constant speed of 12m/s, you encounter a bump in the road that has a circular cross-section, as indicated in the figure . If the radius of curvature of the bump is 52 m, find the apparent weight of a 62-kg person in your car as you pass over the top of the bump.
Solution:
Centripetal force is the net force acting on a body which makes it move along a curved path. This force is always towards the center of curvature.
As the car passes over the bump, the centripetal acceleration acts downward towards the circle center.
The sum of all vertical forces is equal to zero, hence:
F - mg + ma = 0
where F is the apparent weight of the person, m is the mass of the person, ma = centripetal force = mv²/r
Given that:
m = 62 kg, v = velocity = 12 m/s, r = radius of curvature of bump = 52 m, g = acceleration due to gravity = 10 m/s. Therefore:
F - mg + ma = 0
F - mg + mv²/r = 0
F = mg - mv²/r
F = m(g - v²/r)
Substituting:
F = 62(10 - 12²/54)
F = 456.67 N
The apparent weight of a 62-kg person as the top of the bump is passed = 456.67 N
But the weight of the person = mg = 62* 10 = 620 N
two ropes tied to a tree branch hold up a child swing as shown in figure 7 . the tension in each rope is 2.28N.what is the combined force (magnitude and direction) of the two ropes one the swing?
The magnitude of the combined forces is 4.56 N in a direction of 13⁰.
What is the combined tension of the two ropes?
The combined force of the two ropes one the swing is calculated by resolving the tensions into x and y components.
The sum of the x component of the forces is calculated as follows;
x = 2.28 cos ( 13 ) + 2.28 cos ( 13 )
x = 4.44 N
The sum of the y component of the forces is calculated as follows;
y = 2.28 sin ( 13 ) + 2.28 sin ( 13 )
y = 1.03 N
The magnitude of the resultant force is calculated as;
F = √ ( 4.44² + 1.03² )
F = 4.56 N
The direction of the forces is calculated as follows;
θ = arc tan ( 1.03 / 4.44 )
θ = 13⁰
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A monk is sitting atop a mountain in complete rest in meditation. What is the kinetic Energy of the monk? (assume mass of 65 kg and the mountain's height was 1000 m)
Answer:
no kinetic energy
hope this helps! :-D
Explanation:
the monk is not moving
A helicopter is ascending vertically witha speed of 5.40 m/s. At a height of 105 m above the earth a package is dropped from the helicopter. How much time does is take for the package to reach the ground
Answer: 5.21 s
Explanation:
Given
Helicopter ascends vertically with \(u=5.4\ m/s\)
Height of helicopter \(h=105\ m\)
When the package leaves the helicopter, it will have the same vertical velocity
Using equation of motion
\(\Rightarrow h=ut+\dfrac{1}{2}at^2\\\\\Rightarrow 105=-5.4t+0.5\times 9.8t^2\\\Rightarrow 4.9t^2-5.4t-105=0\\\\\Rightarrow t=\dfrac{5.4\pm \sqrt{5.4^2+4\times 4.9\times 105}}{2\times 4.9}\\\\\Rightarrow t=\dfrac{5.4\pm 45.68}{9.8}\\\\\Rightarrow t=5.21\ s\quad \text{Neglect negative value}\)
So, package will take 5.21 s to reach the ground
Runners in the 100 metre dash have complained that the runner nearest the gun has an unfair advantage.
What might this advantage be?
The advantage that the runner nearest the gun in the 100-meter dash might have is known as the "reaction time advantage."
What is reaction time advantage?A reaction time advantage is known to allow runners in a race to be agile and efficient when it comes to responding to stimuli in situations like driving, playing sports, or even having a conversation.
It is believed that the runner closest to the gun has a shorter distance for the sound wave to travel which might result in a slightly quicker reaction time in comparison to the other runners.
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Consider a ball thrown at an angle of 200 above the horizontal and another ball thrown at 200 below the horizontal. Both balls thrown with the same initial speed of 20 m/s from the top of the Science Center. Draw the motion diagram for both cases indicating the velocity and acceleration vectors. Explain the physics of these two situations and calculate the time taken for the balls to reach the ground.
An object is thrown upward with initial velocity of 30m/s at angle of 30 degree to the horizontal. calculate the components of the initial velocity.
Answer:
Vo (vertical) = Vo sin 30 = 30 m/s / 2 = 15 m/s
Vo (horizontal) = Vo cos 30 = .866 30 m/s = 26 m/s
What is 6 Fahrenheit in celcious
Answer:
6 Fahrenheit, converted over to Celsius, would be -14.444444
10. What is GIVEN in the following problem? *
1 point
If Maria was driving her car at 20 km/h, then increased her speed to 35 km/h, what is her change in velocity?
Given
Want
Formula
Work
v1 = 20 km/h, v2 = 35 km/h
Change in velocity, \(\Delta v\), is the initial velocity subtracted from the final velocity. \(\Delta v = v_{2} - v_{1} = 35 - 20 = 15kmh^{-1}\)
The change in the velocity of Maria's car is equal to 15 Km/h.
What is the velocity?Velocity can be defined as a vector measurement of the rate of motion and direction of an object. The velocity of an object can be defined as the rate of change in the position of the body with respect to time.
Velocity can be defined as a vector parameter as it exhibits both magnitude and direction. A mathematical formula to calculate the velocity of the object can be represented as:
v = d / t
Where v is the velocity of the object, d is the distance, and t is the time taken by the object.
Although the S.I. unit for the measurement of the velocity is m/s and can also expressed in the terms of miles per hour (mph), and kilometers per hour(kph).
Given, the initial velocity of Maria's car, v₁ = 20 m/s
The final velocity of Maria's car, v₂ = 35 m/s
The change in the velocity of Maria's car, Δv = v₂ - v
Δv = = 35 - 20
Δv = 15 km/h
Therefore, the change in velocity is 15 Km/h.
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what is the most effortless walking speed for a person with 90cm long legs if the length of each step is 90cm
Answer:
75 cm/second.
Explanation:
Formula:
Walking speed = stride length / time per step
Walking speed = 90cm/time per step
= 90cm/1.2 seconds (a common estimate time per step)
= 75cm/second.
Which of the following is a function of the geosphere?
a.
facilitating the movement of water through spheres through transpiration
b.
providing a moderate, livable climate
c.
facilitating the process of photosynthesis
d.
serving as the interface between the other spheres
The function of the geosphere is to serve as the interface between the other spheres, so option D is correct.
What is geosphere?Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole.
Different mass and/or energy flows can be exchanged between the various geosphere collectives (the measurable amount of change). The balance of the various geosphere spheres is impacted by the exchange of these fluxes. As an illustration, consider how the soil functions as both a source of flux exchange and as a component of the biosphere.
Since the start of space travel, it has been noted that the ionosphere's or plasmasphere's size is highly changeable, frequently greater than previously thought, and occasionally even reaches the magnetosphere's outer limits.
The term "geopause" (or "magnetopause") refers to this wildly fluctuating outer limit of geogenic matter and conveys the relative dearth of such matter beyond it, where the solar wind predominates.
Therefore, serving as the interface between the other spheres is a function of the geosphere.
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Serving as the interface between the other spheres. Therefore option D is correct.
The geosphere refers to the solid Earth, including the rocks, minerals, and landforms that make up the planet's surface. It plays a crucial role in the Earth's system and interacts with other spheres, such as the atmosphere, hydrosphere, and biosphere.
Serving as the interface between the other spheres: This is the correct function of the geosphere. It acts as the solid Earth, providing a foundation and interacting with the other spheres.
For example, the geosphere influences the movement of water (hydrosphere) through processes like infiltration and groundwater flow. It also influences atmospheric processes through land-sea interactions, affecting wind patterns and climate in certain regions.
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High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 630HP
. Twenty five engines are randomly selected for horsepower testing. The sample has an average maximum HP of 650
with a standard deviation of 60HP
. Assume the population is normally distributed.
Step 1 of 2 : Calculate a confidence interval for the average maximum HP for the experimental engine. Use a significance level of α=0.01
. Round your answers to two decimal places.
The 99% confidence interval for the average maximum HP for the experimental engine is (610.12, 689.88).
To calculate the confidence interval for the experimental engines' average maximum HP, we can use the following formula:
To find the z-score for α=0.01, we can refer to a standard normal distribution table or use a calculator. The z-score is approximately 2.58.
Substituting the given values into the formula, we get:
CI = 650 ± 2.58*(60/√25) CI = 650 ± 30.96
Rounding to two decimal places, the confidence interval for the experimental engines' average maximum HP is:
CI = [619.04 HP, 680.96 HP]
Therefore, we can say with 99% confidence that the true average maximum HP for the experimental engines falls between 619.04 HP and 680.96 HP. Thus, we can conclude that the experimental engines' average maximum HP is likely to be within this range. However, note that this range does not include the manufacturer's claimed maximum HP of 630 HP, which may indicate that the engines are performing below expectations.
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A region around the nucleus of an atom where electrons are likely to be found
Answer:
The region where an electron is most likely to be is called an orbital. Each orbital can have at most two electrons. Some orbitals, called S orbitals, are shaped like spheres, with the nucleus in the center.
Explanation:Hope this helps :)
By definition, a region around the nucleus of an atom where electrons are likely to be found is called an orbital.
First of all, an atom is the smallest constituent unit of ordinary matter that has the properties of a chemical element.
All atoms are made up of subatomic particles: protons and neutrons, which are part of their nucleus, and electrons, which revolve around them. Protons are positively charged, neutrons are neutrally charged, and electrons are negatively charged.
In other words, every atom consists of a nucleus in which neutrons and protons meet and energy levels where electrons are located.
This is, the atomic nucleus is the central part of the atom that is made up of protons and neutrons, while the orbitals or peripheral region is an area where electrons are found.
In summary, a region around the nucleus of an atom where electrons are likely to be found is called an orbital.
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The unit conversion of 1.5 x 10⁸ Gm to m = 1.5 x 10¹⁷ m.
The unit conversion of 2.6 x 10⁻⁵ nm = 2.6 x 10⁻²⁰ Mm.
The unit conversion of 2.72 x 10⁻⁵ μm = 2.72 x 10⁻¹¹ m.
The unit conversion of 2.56 x 10⁻³ cm = 2.56 x 10⁻⁸ km.
The unit conversion of 2 hr = 7,200 seconds.
The unit conversion of 2 h 30 min = 9,000 seconds.
What is unit conversion?Unit conversion involves the change of unit of a substance from one base to another.
Converting 1.5 x 10⁸ Gm to m1.5 x 10⁸ Gm = 1.5 x 10⁸ x 10⁹ m = 1.5 x 10¹⁷ m
Converting 2.6 x 10⁻⁵ nm to Mm2.6 x 10⁻⁵ nm = 2.6 x 10⁻⁵ x 10⁻⁹ x 10⁻⁶ m = 2.6 x 10⁻²⁰ Mm
Converting 2.72 x 10⁻⁵ μm to m2.72 x 10⁻⁵ μm = 2.72 x 10⁻⁵ x 10⁻⁶ m = 2.72 x 10⁻¹¹ m
Converting 2.56 x 10⁻³ cm to km2.56 x 10⁻³ cm = 2.56 x 10⁻³ x 10⁻² m x 10⁻³ km/m = 2.56 x 10⁻⁸ km
Converting 2 hours to seconds2 hr = 2 x 3600 s = 7,200 seconds
Converting 2 h 30min to seconds2 h 30 min = 7,200 seconds + 1800 s = 9,000 seconds
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Question 1
Simple Cubic Lattice, Part 1
Consider a simple cubic (sc) crystal in which one atom is placed at each lattice point. The lattice constant is
�
=
0.7
�
�
a=0.7nm. Calculate the volume density of atoms (i.e. number of atoms per unit volume) in unit of
�
�
−
3
cm
−3
. Values within 5% error will be considered correc
The volume density of atoms in a simple cubic crystal is 2.92 × 1021 atoms per cubic centimeter.
The lattice constant (a) of a simple cubic (SC) crystal is 0.7 nm. One atom is present at each lattice point. We have to compute the volume density of atoms (i.e. the number of atoms per unit volume) in terms of atoms per cubic centimeter.1 nm = 10-7 cm ⇒ 0.7 nm = 0.7 × 10-7 cm = 7 × 10-8 cm.
Volume of the unit cell of a SC crystal is given byV = a3= (0.7 × 10-7 cm)3= 3.43 × 10-22 cm3The unit cell has one atom, so the volume density of atoms is the same as the number of atoms per unit cell, which is1/ V = 1 / (3.43 × 10-22 cm3)= 2.92 × 1021 atoms per cubic centimeter.= 2.92 × 1023 atoms per cubic meter= 2.92 × 10-4 atoms per cubic angstrom.
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An aeroplaneflying above groundnd490m with 100 meterpersecond how far on ground it will strike
The airplane will strike the ground at a horizontal distance of 490 meters.
To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.
The horizontal distance traveled by an object can be calculated using the formula:
Distance = Speed × Time
In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.
Distance = 100 m/s × t
Now, to find the value of time, we can rearrange the equation as follows:
t = Distance / Speed
t = 490 m / 100 m/s
t = 4.9 seconds
Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.
Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:
Distance = Speed × Time
Distance = 100 m/s × 4.9 s
Distance = 490 meters
It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.
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Calculate the energy needed to change 10 grams of water from 70°C to 110°C. 5.7 kcal 350 kcal 0.35 kcal 5700 kcal
The energy needed for change 10 grams of water is 5.7.
What is Energy ?Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc.
Energy is always assigned based on its nature once it has been transmitted. Thus, heat transmitted may manifest as thermal energy while work performed may result in mechanical energy.
Motion is a property of all energy types. For instance, if a body is moving, it possesses kinetic energy. Even while at rest, a tensioned object like a spring or bow has the ability to move; this is because of its design, which includes potential energy.
Therefore, The energy needed for change 10 grams of water is 5.7.
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A negatively charged particle is travelling in a magnetic field. This is represented in
Fig. 9.1. The direction of the magnetic field is into the page.
The right hand rule allows to find the result for the direction of the magnetic force is:
In the attachment we see the direction of the force. The force is parallel to the page pointing to the right. Magnetic force.The magnetic force is given by the cross product of the velocity of the particle by the magnetic field, by the cross product the three vectors are perpendicular.
F= q v x B
Where bold indicates vectors, F is force, q is charge, v is velocity, and B is magnetic field.
The right hand rule.The direction of the force can be obtained from the right hand rule, for a positive particle:
The thumb points in the direction of the speed. Extended fingers point in the direction of the magnetic field. The palm of the hand is in the direction of the force. In the case of a negative charge the force direction is opposite.In the attachment we see a diagram of these vectors, using the right-hand rule:
The thumb is in the direction of the particle speed.
The extended fingers are entered into the page that is the difference of magnetic field.
The palm of the hand, which is the direction of the force, is in the plane of the page and because it is negatively charged, it points to the right.
In conclusion using the right hand rule we can find the result for the direction of the magnetic force is:
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Pls help need answers
The angular diameter of Mars in radians and in arc minutes and the evaluation of the capability of human eyes to resolve Mars of diameter 6.8 × 10³ km, located 5.5 × 10⁷ km away are as follows;
(d) The angular diameter of Mars is 1.23\(\overline{63}\) × 10⁻⁴ rad
(e) The angular diameter in arc minutes is about 0.425 arc minute.
Optical aid is required for humans to resolve Mars.What is an angular diameter?The angular diameter is an apparent dimension used to describe the size of a circular object, observed from a specified point of view or location.
The diameter of Mars = 6,800 km
The closest distance between Mars and Earth when Mars gets closest to Earth = 55,000,000 km
(d) The angular diameter of Mars can be obtained by finding the vertex angle formed by the diameter of Mars and the ray from the observer on Earth to the left and right extremities of Mars using the trigonometric ratio of tangent as follows;
Angular diameter = 2 × arctan((6,800/2)/55,000,000) = 0.000123636363 radians
The angular diameter of Mars as observed from Earth is 1.23\(\overline{63}\) × 10⁻⁴ radians
(e) 1 radians = 3437.75 arc minute
0.000123636363 radians = 0.000123636363 × 3437.75 arc minute
0.000123636363 × 3437.75 ≈ 0.425
Therefore;
0.000123636363 radians ≈ 0.425 arc minute
The specified level of detail that the human eye can resolve is one arc minute (1')
The apparent angular diameter of Mars, which is about 0.425 arc minute is lesser than the angular limit of detail of one arc minute that the eye can resolve, therefore, humans can not resolve Mars without optical aid.
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