Final answer:
Explanation of the distances covered by two cars during acceleration and the comparison of their travel distances at t = 2T.
Explanation:
At the instant t = 2T, the distance between the two cars can be determined by calculating the distances each car covers during the acceleration phase.
Car A: dA = 0.5*A*T2
Car B: dB = 0.5*(A/2)*(2T)2 = 0.5*A*T2
Therefore, at t = 2T, both cars have traveled the same distance, so the statement Both cars have traveled the same distance is true.
2 Points
What kind of simple machine is the shin bone in your leg?
O
A. Lever
O
B. Inclined plane
O
C. Pulley
O D. Wedge
SUBMIT
Answer:
A. Lever
Explanation:
A Lever is the kind of simple machine is the shin bone in your leg.
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The shin bone in your leg, also known as the tibia, acts like a lever in the context of simple machines. It helps create movement, with muscles providing the force, and joints serving as fulcrums.
Explanation:The shin bone in your leg, also known as the tibia, is similar to a lever in the context of simple machines. In our bodies, bones, muscles, and joints work together to create movement. Muscles exert force, bones act as levers, and joints act as fulcrums. For instance, when you kick a ball, your shin bone acts as the lever; the joint at your knee serves as the fulcrum; and the muscles in your thigh and calf provide the force.
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Which of the following characteristics of Earth's relationship to the Sun explains the existence of Earth's seasons? Choose all that apply.
Earth has a satellite called the Moon, which rotates around Earth.
Earth spins on its axis, completing one rotation each day.
Earth's axis always points in the same direction relative to the stars.
Earth's axis is tilted relative to its orbital plane.
Earth orbits around the Sun, completing one orbit each year.
The existence of Earth's seasons is explained by the tilt of Earth's axis and its orbit around the Sun.
Explanation:The existence of Earth's seasons is explained by two characteristics of Earth's relationship to the Sun. First, Earth's axis is tilted relative to its orbital plane. This tilt causes different parts of Earth to receive different amounts of sunlight throughout the year, creating the seasons. Second, Earth orbits around the Sun, completing one orbit each year. As Earth moves in its orbit, different parts of the planet are tilted toward or away from the Sun, resulting in the changing seasons.
Final answer:
The existence of Earth's seasons is primarily due to Earth's axis being tilted relative to its orbital plane and Earth completing one orbit around the Sun each year.
Explanation:
The existence of Earth's seasons can be explained by the following characteristics of Earth's relationship to the Sun:
Earth orbits around the Sun, completing one orbit each year.
These two factors combined explain why different parts of Earth receive varying amounts of sunlight throughout the year, resulting in seasons. The tilt of the Earth's axis ensures that at different times of the year, either the Northern or Southern Hemisphere will be tilted towards the Sun, receiving more direct sunlight and experiencing summer, while the other hemisphere will be tilted away, receiving less direct sunlight and experiencing winter.
Earth's rotation on its axis, which occurs once a day, simply provides the cycle of day and night, and its axis always pointing in the same direction relative to the stars, ensures consistency in the orientation of Earth's tilt as it orbits the Sun.
The height of the empire state building is 318 m if a stone is dropped from the top of the building what is the stones velocity just before it strikes the ground
79 m/s. A stone dropped from the top of the Empire State Building will have a velocity of 79 m/s just before it strikes the ground.
This problem is about free fall, to find the velocity of the stone before it strikes the ground we have to use the equation [tex]v_{f}^{2}=v_{0}^{2}+2gh[/tex], the initial velocity of the stone is 0 m/s. Then:
[tex]v_{f}^{2}=2gh[/tex]
[tex]v_{f}=\sqrt{ 2gh}[/tex]
Solving the equation above with g = 9.8 m/s², and h = 318.0 m:
[tex]v_{f}=\sqrt{ 2(9.8m/s^{2})(318.0m)}= 78.95 m/s[/tex]
[tex]v_{f}[/tex]≅ 79 m/s
Energy transfer by convection is primarily restricted to
Convective heat transfer occurs only in fluids, through the movement of groups of molecules that make up the medium.
Being this molecular movement, related to the properties of the fluid that change with temperature.
This means that convection occurs when the hottest parts of a fluid ascend to the coldest zones, generating a continuous circulation of the fluid (better known as convective current) transmitting heat to the cold zones by decreasing the density caused by the increase in temperature.
Convection, a method of energy transfer, is predominantly restricted to fluids (liquids and gases), as it depends on particle movement and density changes that cause a circulatory motion, facilitating heat transfer.
Explanation:Energy transfer by convection is primarily restricted to fluids, which includes both liquids and gases. This is due to the fact that convection relies on the movement of particles within a substance. More specifically, convection occurs when warmer, less dense parts of a fluid rise, displacing cooler, denser parts which sink. This creates a circular motion of fluid, known as a convective current, and allows for heat to be distributed throughout the whole fluid.
Examples of convection include a boiling pot of water where the hot water at the bottom rises to the top, or the warmth you feel when standing near a radiator. The warm air around the radiator rises and circulates around the room, spreading heat.
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A soccer player is running at a constant speed of 1.8 m/s when she speeds up in the same direction with an acceleration of 0.50 m/s2. What will be her final speed if she accelerates for a total distance of 10.0 meters?
Answer:
3.6 m/s
Explanation:
v² = v₀² + 2a(x - x₀)
v² = (1.8 m/s)² + 2 (0.50 m/s²) (10.0 m)
v = 3.6 m/s
Answer:
Final speed, v = 3.63 m/s
Explanation:
It is given that,
Initial speed of the player, u = 1.8 m/s
Acceleration of the player, [tex]a=0.5\ m/s^2[/tex]
Distance, s = 10 m
We need to find the final speed of the player. Let it is given by v. Using third equation of motion as :
[tex]v^2-u^2=2as[/tex]
[tex]v^2=2as+u^2[/tex]
[tex]v^2=2\times 0.5\times 10+(1.8)^2[/tex]
v = 3.63 m/s
So, the final speed of the player is 3.63 m/s. Hence, this is the required solution.
which statement correctly describes a hypothesis?
A.It is a result of an experiment
B.it cannot be tested
C.it is a conclusion based on scientific evidence
D.it is directly testable
Answer:
D
Explanation:
A hypothesis is pretty much what you think something is, what you think the solution is, with the little information that you already have. this can go on to be tested
Final answer:
Correct answer is option D. A hypothesis is a testable proposed explanation for a phenomenon, capable of being supported or refuted by scientific experiments or observations.
Explanation:
Within the realm of science, a hypothesis is a suggested explanation for a phenomenon that is based on evidence and can be tested through observation and experimentation. The key aspect of a hypothesis is its ability to be supported or refuted by experimental data.
So, the correct statement that describes a hypothesis is that it is directly testable (D). Contrary to a hypothesis that cannot be tested, which would not be a scientific hypothesis, a valid hypothesis must allow for the design of experiments or observations that could potentially demonstrate it to be false.
The law of conservation of mass states that
Hello There!
The law of conservation of mass states that Matter/substances/energy can not be created or destroyed, it can only be transferred from state to state.
A large cruise ship of mass 7.00 ✕ 107 kg has a speed of 11.6 m/s at some instant. (a) What is the ship's kinetic energy at this time? (b) How much work is required to stop it? (Give the work done on the ship. Include the sign of the value in your answer.) (c) What is the magnitude of the constant force required to stop it as it undergoes a displacement of 3.00 km?
(a) [tex]4.7\cdot 10^9 J[/tex]
The kinetic energy of an object is given by
[tex]K=\frac{1}{2}mv^2[/tex]
where
m is the mass of the object
v is its speed
For the ship in this problem,
[tex]m=7.00 \cdot 10^7 kg[/tex] is the mass
[tex]v = 11.6 m/s [/tex] is the speed
Substituting,
[tex]K=\frac{1}{2}(7.00 \cdot 10^7 kg)(11.6 m/s)^2=4.7\cdot 10^9 J[/tex]
(b) [tex]-4.7\cdot 10^9 J[/tex]
The work done on the ship is equal to the change in kinetic energy of the ship; so we have:
[tex]W = K_f - K_i[/tex]
where
W is the work done
Kf is the final kinetic energy of the ship, which is zero since it comes to rest
Ki is the initial kinetic energy of the ship, which is [tex]4.7\cdot 10^9 J[/tex]
Substituting into the formula,
[tex]W=0-4.7\cdot 10^9 J=-4.7\cdot 10^9 J[/tex]
and the sign is negative because the force used to stop the ship acts against the direction of motion of the ship, in order to slow it down.
(c) [tex]1.57\cdot 10^6 N[/tex]
The work done by the force applied to stop the ship is
W = Fd
where
W=-4.7\cdot 10^9 J is the work done
F is the force applied
d = 3.00 km = 3000 m is the displacement of the ship
Solving the equation for F, we find the force:
[tex]F=\frac{W}{d}=\frac{-4.7\cdot 10^9 J}{3000 m}=-1.57\cdot 10^6 N[/tex]
and ignoring the negative sign, the magnitude of the force is
[tex]1.57\cdot 10^6 N[/tex]
Which scientist is often called the “father of the atomic bomb” because of his work as the head of the manhattan project?
Answer:
J. Robert Oppenheimer
Explanation:
He led the Manhattan project and created the first nuclear bomb in WWII
Final answer:
J. Robert Oppenheimer is considered the 'father of the atomic bomb' for his leadership of the Manhattan Project, which developed the first nuclear weapons during World War II.
Explanation:
The scientist often called the “father of the atomic bomb” is J. Robert Oppenheimer because of his pivotal role as the head of the Manhattan Project. Oppenheimer was a leading theoretical physicist who, after seeing the power of the bomb, opposed the subsequent nuclear arms race. The Manhattan Project was a top-secret research and development project during World War II that produced the first nuclear weapons. Employing over 100,000 people, this project led to the successful detonation of the world's first atomic explosion in July 1945. Despite his involvement in the development of nuclear weapons, Oppenheimer had complicated feelings about their use and later became a proponent of controlling nuclear arms.
The decision to drop the atomic bomb was influenced by various complex factors, including the desire to bring a swift end to World War II and the fear that Nazi Germany might develop a bomb first, spurred by alarmed messages from scientists like Albert Einstein and Leo Szilard to President Roosevelt.
Which of the following represents an upright image?
A. -do
B. +m
C. -m
D. +do
Answer:
B. +m
Explanation:
The magnification of an image is defined as the ratio between the size of the image and of the object:
[tex]m = \frac{y'}{y}[/tex]
where we have
y' = size of the image
y = size of the object
There are two possible situations:
- When m is positive, y' has same sign as y: this means that the image image is upright
- When m is negative, y' has opposite sign to y: this means that the image is upside down
Therefore, the correct option representing an upright image is
B. +m
Final answer:
In optics, a positive magnification represents an upright image. Option B: +m represents an upright image.
Explanation:
In optics, an upright image is represented by a positive magnification (+m). When the magnification is positive, it indicates that the image is upright, meaning it has the same orientation as the object.
For the options given, option B: +m represents an upright image.
A positive magnification (+m) indicates that the image is upright. On the other hand, the distance from the object to the mirror or lens (often represented by do or d₁), is concerned with the real versus virtual nature of the image; the sign does not directly indicate the image's orientation. Based on this, the answer which represents an upright image is B. +m.
Why does water have a high surface tension
Answer:
The water molecules attract one another due to the water's polar property. The hydrogen ends, which are positive in comparison to the negative ends of the oxygen cause water to "stick" together. This is why there is surface tension and takes a certain amount of energy to break these intermolecular bonds.
Explanation:
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An object weighing 20 n moves horizontally toward the right a distance of 5.0 m. What is the work done on the object by the force of gravity?
Answer:
Zero
Explanation:
The work done by a force on an object is given by:
[tex]W = Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and the displacement
From the formula, we see that if the force and the displacement are perpendicular to each other, then the cosine term is zero, so the work done is zero.
In this problem, the force is the force of gravity, which pulls downward, while the displacement is horizontal (in the right direction): so, the force and the displacement are perpendicular to each other, and so the work done by gravity is zero.
The work done by gravity on an object moving horizontally is zero because the displacement is perpendicular to the direction of the gravity force.
Explanation:The student wants to know the work done on an object by the force of gravity as it moves horizontally. The work done by a force on an object is the product of the force and the distance moved in the direction of the force. In this case, the object is moving horizontally, perpendicular to the direction of the force of gravity, which acts downwards.
Since work done is the product of force and displacement in the direction of the force, and here the displacement is perpendicular to the force of gravity (represented by the weight), the work done is zero. This is because the angle between the direction of the force and direction of displacement is 90 degrees, and the cosine of 90 degrees is zero, making the entire product of force and displacement zero.
This is in line with the concept that gravity does zero work when the displacement is horizontal. In essence, for a horizontal movement, no work is done by gravity.
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A 1650-kg car is traveling at 38.0 m/s. how fast must a 91.0-kg bicycle and rider be traveling to have the same kinetic energy as the car?
Answer:
161.7 m/s
Explanation:
The kinetic energy of the car is given by
[tex]K=\frac{1}{2}mv^2[/tex]
where
m = 1650 kg is the mass of the car
v = 38.0 m/s is the speed
Substituting,
[tex]K=\frac{1}{2}(1650 kg)(38.0 m/s)^2=1.19\cdot 10^6 J[/tex]
The bycicle + rider has the same kinetic energy; moreover, their combined mass is
m = 91.0 kg
So, the speed of the bike should be
[tex]v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2(1.19\cdot 10^6 J)}{91.0 kg}}=161.7 m/s[/tex]
Bicycle has a speed of 161.7 m/sec.
Given :
Mass of car = 1650 Kg
Speed = 38 m/sec
Mass of bicycle = 91 Kg
Bicycle and car travelling have same Kinetic Energy.
Solution :
Kinetic energy of the car is,
[tex]\rm KE = \dfrac{1}{2}mv^2[/tex]
[tex]\rm KE = \dfrac{1}{2}\times 1650 \times 38[/tex]
[tex]\rm KE_c_a_r = 1.19\times 10^6\; J[/tex]
Given that both have same kinetic energy. Therefore,
[tex]\rm KE_c_a_r = KE_b_i_c_y_c_l_e[/tex]
[tex]\rm 1.19\times10^6 = \dfrac{1}{2}\times91\times u^2[/tex]
[tex]\rm u = 161.7 \; m/sec[/tex]
Bicycle has a speed of 161.7 m/sec.
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The law of reflection states that the angle of incidence and the angle of reflection are always A: greater than 45 degrees each B: less than 45 degrees each C: equal in measure D: different in measure
Answer:
It'll be, C.) equal in measure.
The law of reflection states that the angle of incidence and the angle of reflection are always C: equal in measure.
What are the three laws of reflection?
Incoming rays, normal rays, and reflected rays are all in the same plane. Changing the direction of the incident ray changes the angle of the plane. Again, the incident, normal, and reflected rays are all in the same plane.
Set of optics: When light hits a flat surface, it is reflected so that the angle of reflection is equal to the angle of incidence, placing incident, reflected, and vertical rays on the surface. ..
Law of light reflection (i) The incident rays, normals, and reflected rays are all in the same plane. (Ii) The angle of incidence is equal to the angle of reflection.
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What is the magnification of a real image if the image is 10.0 cm from a mirror and the object is 50.0 cm from the mirror ? Use the equation m=-di/do.
A. -5.0
B. 5.0
C. 0.20
D. -0.20
Answer:
D
Explanation:
m = -di/do
Given:
di = 10.0 cm
do = 50.0 cm
Find: m
m = -(10.0) / (50.0)
m = -0.200
The magnification of a real image is -0.20
Image from a mirror = 10 cm
Object from the mirror = 50 cm
What is magnification?The process of enlarging the apparent size of the object is called
magnification.
Here, the formula is given as
m = - di / d₀
m - magnification
di - distance of the image
do - distance of the object
m = - 10 / 50
= - 0.20
Hence, Option D is the correct answer.
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What is the definition of physical weathering?
Physical weathering refers to the process of rocks breaking down due to external conditions like temperature and water, without their chemical composition being altered. Examples include temperature changes causing cracks in rocks, and water freezing in rock cracks leading to their breakage.
Explanation:Physical weathering, also known as mechanical weathering, is a concept in geography that describes the process of rocks breaking down into smaller pieces due to external conditions, without any change in their chemical composition. This occurs primarily due to temperature changes, water, wind, and biological activity.
For example, in the case of temperature changes, the rock can expand and contract causing it to crack and eventually break apart. This is often seen in desert environments where there is a large temperature difference between day and night. Similarly, water, when it gets into the cracks of the rock and freezes, expands, causing the rock to break apart. This process is known as freeze-thaw weathering and is commonly found in cold climates.
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Physical weathering is the process of breaking down rocks into smaller pieces by physical forces like temperature changes and erosion, without any change in the rock's chemical composition. Factors like climate and biotic activity can significantly influence the rate and extent of physical weathering.
Explanation:Physical weathering, also known as mechanical weathering, is a geological process where rock is broken down into smaller pieces by mechanical means, without any change in the chemical composition of the rock. This can occur through a variety of processes, including temperature changes, wind, water erosion, and biological activity. An example of physical weathering could be the process by which a mountain range is eroded by water and ice: the rocks are not chemically altered, but they are gradually worn down into smaller pieces due to the abrasive action of the moving water and ice.
Another important factor in physical weathering is the climate. Higher temperatures cause rocks to expand, and cooler temperatures cause them to contract. This expansion and contraction can cause stress in the rock that leads to cracking and breaking. Also, in areas of high moisture, water can seep into cracks in rocks and freeze, causing the cracks to widen and the rock to break.
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The total number of protons and neutrons in the nucleus of an atom
Answer:
Is the mass number
Explanation:
Every atom is usually identified by using two different numbers:
- Atomic number: generally labelled with Z, corresponds to the number of protons in the nucleus, so Z = p
- Mass number: generally labelled with A, corresponds to the number of protons+neutrons in the nucleus, so A = p + n
To find the number of neutrons in a nucleus, therefore, we can do
n = A - Z
Given the relatively modest number of calories burned by anything but the most vigorous activities, why can people consume over 2,000 kilocalories a day, yet maintain a healthy body weight?View Available Hint(s)Given the relatively modest number of calories burned by anything but the most vigorous activities, why can people consume over 2,000 kilocalories a day, yet maintain a healthy body weight?Not all calories are created equal, so a person who consumes 2,000 kilocalories of sugar- and fat-laden processed food will gain weight, whereas a person who consumes 2,000 calories of nonprocessed, low-carbohydrate food will not.People really should exercise vigorously for one to two hours per day.They can't, and this has led to a problem of obesity in the United States.Most of the energy consumed in food is spent maintaining the body's functions, so only a fraction of food energy needs to be burned in exercise.
Answer:
Much of the caloric intake is used to maintain normal body functioning -- heart rate, respiration, muscle contraction, etc.. Therefore, only some of the calories are actually stored as fuel for later use.
Explanation:
In the question, there is a comment to indicate that 2,000 of low-carbohydrate food will not cause weight gain. This is not exactly accurate. Weight gain depends upon what is taken in (calories in food) and what is expended (calories in activity).
There has to be moderation in what is consumed. Consuming all fats or all carbs is not the answer. Yes, fat has more calories per gram (9) than does carbohydrates (4.5), but it should be noted that if you take in too many calories in carbs, they will be converted and stored as fat.
Explain dalton's law of partial pressures and how it relates to the collection of gas by water displacement.
Answer:
12
Explanation:
(6 x 1) 2
What phenomenon would cause you to see an emission of a specific wavelength of light from metal salts during the flame test?
The the flame test is used to identify some inorganic chemical elements, by means of the emission of light by the phenomenon of atomic excitation by the increase in temperature.
In this sense, when an atom is excited, it means that it has left its ground state (in which each electron occupies its place in its orbit, around the nucleus), when this happens some electron jumps out of the orbit it occupied in its fundamental state to an outer orbit, further away from the nucleus and then return to the ground state, emitting in the form of light the energy received.
To understand it better:
An excited electron is an unstable electron, and when passing from one orbit to another, it produces light of a specific wavelength (color) that depends on the amount of energy the electron loses.
This is how the color of the light emitted in the flame is related to a characteristic chemical element.
which statement best describes the big bang theory?
A.The universe began as a ball of energy and has been collapsing since its formation.
B.The universe began as a cloud of dust and gas and has been expanding since its formation.
C.The universe began at an outer boundary has been collapsing since its formation.
D.The universe began at a single point and has been expanding since its formation.
Answer:
the universe began at a single point and has been expanding since its formation
The statement best describes the big bang theory is the universe began at a single point and has been expanding since its formation. The correct option is D.
What is big bang?The big bang is the theory which explains that how the universe began. It says that the universe began with just a single point. It went on expanding and stretched to grow as large as possible. It is still now expanding.
The big bang consist of fully dark matter, interstellar gases or dust. The big bang is increasing just because in universe there is abundant of hydrogen and helium.
The radiations come from the big bang. These rays are also called as cosmic wave. This big bang is still on it way of expanding more.
Thus, the statement best describes the big bang theory is the universe began at a single point and has been expanding since its formation.
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What would be the radius of the earth if it had its actual mass but had the density of nuclei?
Final answer:
If the Earth had the density of a nucleus, its radius would be only about 200 meters compared to the actual radius of approximately 6.4 x 10^6 meters.
Explanation:
Protons and neutrons, collectively called nucleons, are packed together tightly in a nucleus. With a radius of about 10-15 meters, a nucleus is quite small compared to the radius of the entire atom, which is about 10-10 meters. Nuclei are extremely dense compared to bulk matter, averaging 1.8 × 1014 grams per cubic centimeter. If the earth's density were equal to the average nuclear density, the earth's radius would be only about 200 meters (earth's actual radius is approximately 6.4 x 106 meters, 30,000 times larger).
What metal is most commonly used as a conductor?
Answer:
Copper
Explanation:
Copper is the most popular material used for wires because it is a quality conductor of electrical current
What is the magnitude of the gravitational force acting on the earth due to the sun?
Answer: [tex]3.524(10)^{22}N[/tex]
Explanation:
According to Newton's law of Gravitation, the force [tex]F[/tex] exerted between two bodies of masses [tex]m1[/tex] and [tex]m2[/tex] and separated by a distance [tex]r[/tex] is equal to the product of their masses and inversely proportional to the square of the distance:
[tex]F=G\frac{(m1)(m2)}{r^2}[/tex] (1)
Where:
[tex]G[/tex] is the Gravitational Constant and its value is [tex]6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}[/tex]
[tex]m1=1.99(10)^{30}kg[/tex] is the mass of the Sun
[tex]m2=5.972(10)^{24}kg[/tex] is the mass of the Earth
[tex]r=1.50(10)^{11}m[/tex] is the distance between the Sun and the Earth
Substituting the values in (1):
[tex]F=6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}\frac{(1.99(10)^{30}kg)(5.972(10)^{24}kg)}{(1.50(10)^{11}m)^2}[/tex] (2)
Finally:
[tex]F=3.524(10)^{22}N[/tex] This is the gravitational force acting on the earth due to the sun
The magnitude of the gravitational force acting on Earth due to the Sun is about 3.52 x 10^22 newtons, governing the Earth's orbit and the dynamics of the solar system.
The magnitude of the gravitational force acting on the Earth due to the Sun is approximately 3.52 x 10^22 newtons. This colossal force arises from Newton's law of universal gravitation, which states that every mass attracts every other mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. In this case, the mass of the Sun, which is about 1.989 x 10^30 kilograms, exerts an immense gravitational pull on the Earth, situated at an average distance of approximately 93 million miles (or 150 million kilometers).
The gravitational force is responsible for keeping the Earth in orbit around the Sun and governing the motion of all celestial bodies in the solar system. It is a fundamental force of nature that shapes the dynamics of our universe.
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Suppose a spacecraft orbits the moon in a very low, circular orbit, just a few hundred meters above the lunar surface.The moon has a diameter of 3500 km , and the free-fall acceleration at the surface is 1.60 m/s^2.How much time in minutes does it take for the spacecraft to complete one orbit?
Explanation:
The acceleration due gravity (free-fall acceleration) [tex]g=[/tex] of a body is given by the following formula:
[tex]g=\frac{GM}{r^{2}}[/tex] (1)
Where:
[tex]G=6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}[/tex] is the gravitational constant
[tex]M[/tex] the mass of the body (the moon in this case)
[tex]r[/tex] is the distance from the center of mass of the body to its surface. Assuming the moon is a sphere with a diameter [tex]d=3500km[/tex], its radius is [tex]r=\frac{d}{2}=1750km=1750(10)^{3}m [/tex]
If the value of [tex]g[/tex] is given: [tex]g=1.60m/s^{2}[/tex] we can find the mass of the moon with equation (1):
[tex]M=\frac{gr^{2}}{G}[/tex] (2)
[tex]M=\frac{(1.60m/s^{2})(1750(10)^{3}m)^{2}}{6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}}[/tex] (3)
[tex]M=7.34(10)^{22}kg[/tex] (4)
Now, according to the 3rd Kepler's Law, there is a relation between the orbital period [tex]T[/tex] of a body (the spacecraft in this case) orbiting a greater body (the moon) in space with the size [tex]r[/tex] of its orbit.
[tex]T^{2}=\frac{4\pi^{2}}{GM}r^{3}[/tex] (5)
Substituting the known values and the calculated mass of the moon in (6), we can find the period of the orbit of the spacecraft around the moon:
[tex]T=\sqrt{\frac{4\pi^{2}}{GM}r^{3}}[/tex] (6)
[tex]T=\sqrt{\frac{4\pi^{2}}{(6.674(10)^{-11}\frac{m^{3}}{kgs^{2}})(7.34(10)^{22}kg)}(1750(10)^{3}m)^{3}}[/tex] (7)
Finally:
[tex]T=6571.37619s=109.522 min[/tex]
Given the moon's diameter and the acceleration due to gravity at its surface, a spacecraft in low, circular orbits roughly 115.2 minutes to complete one orbit, using the equations of circular motion.
Explanation:To calculate the time it takes for the spacecraft to complete one orbit, you need to know the speed of the craft, which is determined by the gravitational force between the Moon and the spacecraft. This force creates the centripetal acceleration that keeps the spacecraft in its circular orbit.
The formula to calculate the speed (v) in a circular orbit is v = √(g*r), where g is the acceleration due to gravity (1.6 m/s^2) and r is the radius of the orbit. Because the spacecraft is very close to the lunar surface, the radius is approximately the radius of the moon, which is 1.75 x 10^6 m (half the diameter).
Then, the orbital period (time for one complete orbit) can be calculated using the formula T = 2πr/v. Substituting known values and calculating, it takes approximately 1.92 hours, or 115.2 minutes, for the spacecraft to complete one orbit.
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As more resistors are added in parallel across a constant voltage source, the power supplied by the source
a. decreases.
b. does not change.
c. increases.
As more resistors are added in parallel across a constant voltage source, there are more paths for current to take. So more current dribbles out of the source, and the total current supplied by the source increases.
The power supplied by the battery is (voltage) x (current). So if the voltage is constant and the current increases, the power being supplied must also increase.
choice-c
How many electrons are contained in the atom 6li?
Answer:
3 electrons
Explanation:
Lithium is the third element of the periodic table, so its atomic number is 3:
Z = 3
This means that an atom of lithium contains 3 protons. Moreover, for a neutral atom the number of protons in the nucleus is equal to the number of electrons: this means that an atom of lithium contains 3 electrons as well.
In this specific case, we have an isotope of Lithium-6 (6Li), which has a mass number of 6:
A = 6
This means that the atom contains 6 protons+neutrons in the nucleus, so it contains 6-3 = 3 neutrons.
which image illustrates diffraction
Answer:
I think it is C
Explanation:
I think C because it is the one. I might be wrong but I helped and your welcome if you thanking me.
Answer:
Figure C
Explanation:
Here different figure represents different situations
Figure A
it represents the situation of reflection of light in which light bounce back into the same medium after reflecting by a surface
Figure B
It show refraction of light in which light will bend from its path when light travels from one medium to other medium
Figure C)
here we can see that a plane wavefront incident on the small opening and after that it converts into spherical wavefront. So when light passes through a small opening then it gets diverge at the corners of the opening which is known as diffraction
Figure D
it is just the incident of light ray which get completely absorbed by the medium.
Solstice that occurs in december in the southern hemisphere is called
Answer: Southern Summer Solstice
Explanation:
Solstices are astronomical events that occur twice a year (June and December), in which the Sun reaches its highest or lowest apparent height in the sky, and the duration of the day or night are the maximum of the year, respectively. This is because the Sun reaches the maximum north or south declination with respect to the terrestrial equator.
In this case we will talk about the december solstice in the southern hemisphere, which occurs regularly around December 21st and marks the beginning of summer in this hemisphere and the beginning of winter in the northern hemisphere.
During this season of the year the days are longer than the nights, and as we get closer to the South Pole, we will have more hours of sunlight.
The tendency of water molecules to stick together is referred to as
Answer:
cohesion
Explanation:
Essentially, cohesion and adhesion are the "stickiness" that water molecules have for each other and for other substances. You can see this in the picture of pine needles. The water drop is composed of water molecules that like to stick together, an example of the property of cohesion.
The tendency of water molecules to stick together with each other is known as cohesion.
What is the matter?Anything which has mass to keep the same when comparing the hardness of the solid and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.
These different states of matter have different characteristics according to which they vary their volume and shape.
Water belongs to the liquid state of matter which has many inherent properties, one of them is the cohesive nature of the water.
Cohesion is the property of the substance by which similar particles stick with each other while adhesion is the property by which molecules of different materials stick with each other.
The formation of the water droplets is one of the best examples to understand the cohesion property of the materials, while the sticking of mercury molecules on the surface of the glass demonstrates the adhesion property of materials.
Thus, the tendency of water molecules to stick together is referred to as cohesion.
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