Answer:
2m/s square
Explanation:
this means force is the product of mass and acceleration.so a=f/mA=2000N/1000kg A=2m/s squarewhere a is acceleration f is force and m is massin part 5.2.3 of the experiment, you will measure the index of refraction of yellow light using lab manual equation 5.2. suppose the minimum angle of deviation is 29 degrees. what is the index of refraction?
The above statement states that when the minimal angle of departure is 29 degrees, then index of refraction is 1.26.
What is refraction explain to kids?Refraction occurs when light bends or changes direction as it passes through one material and then another. For instance, when light strikes water after passing through the air, it refracts. As a result, the straw in a water glass may appear bent at the water's surface. Some surfaces don't refract or reflect light at all.
Briefing:D=29°
As for the refractive index:
μ=2sin(30°+D/2)
=2sin(30°+29°/2)
=2sin(30°+14.5°)
=2sin(44.5°)
=2*0.63
= 1.26
Therefore the refractive index is 1.26.
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1. What is the atomic mass of the new atom?
2. What is the atomic number of the new atom?
3. What is the atomic symbol of the new atom?
4. What type of decay is demonstrated here?
1. The atomic mass of the new atom be 252. Option (d) is correct.
2. The atomic number of the new atom be 100. Option (j) is correct.
3. The symbol of the new atom be Fm. Option (e) is correct.
4. Beta decay is demonstrated here. Option (g) is correct.
What is Beta decay?In a process known as beta decay, a proton inside the radioactive sample's nucleus is converted to a neutron or vice versa. The radioactive sample's nucleus is able to reach as close as feasible to the ideal neutron/proton ratio thanks to processes like beta decay and alpha decay.
The nucleus releases a beta particle, which can either be an electron or a positron, in the process. Consider the possibility that either a proton or a neutron could transform into another particle. The law of charge conservation is followed by the generation of the electron and the positron. Weak interaction results in beta-decay.
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18. which factor does not significantly affect the amount of solar energy reaching the surface of earth?
Factor that does not significantly affect the amount of solar energy reaching the surface of earth is : distance between earth and sun.
What is the solar energy reaching the surface of earth?Solar radiation that reaches surface of the Earth without being diffused is called direct beam solar radiation. Sum of the diffused and direct solar radiation is called global solar radiation.
Rotation of earth also does not affect the amount of solar radiation received at the Earth's surface. Tilt, orientation, latitude, and climate can have great impacts on a solar system's performance.
Solar energy is generated by the nuclear reaction within the sun and this energy reaches the surface of the earth in the form of electromagnetic radiation.
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the source of all magnetism is * 1 point a) tiny pieces of iron. b) tiny domains of aligned atoms. c) ferromagnetic materials. d) moving electric charge.
According to the claim, all magnetism originates through moving electric charge.
What are 2 examples of magnetism?There are always two magnetic poles. Stainless steel, iron, nickel, cobalt, and several rare earth metals are a few examples of magnetic materials. An magnetic field weakly repels diamagnetic materials like copper and gold. An magnetic field has a weak attraction for paramagnetic materials like calcium and aluminum.
Why is magnetism important?Mathematically, Maxwell demonstrated how a shifting magnetic field generates a shifting electric field (and vice versa). As a result, magnetism is crucial because it helps humans produce electrical energy. In actuality, spinning magnets are the source of the majority of the energy we consume today.
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What is the velocity of a football thrown?, when the mass of the football is 0.425 kg, and the momentum is + 10.1 kg.m/s?
The velocity of the football thrown is approximately 23.76 meters per second.
What is the velocity of the thrown football?Momentum is simply the product of the mass of an object and its velocity.
This is expressed as;
P = m × v
Where m is the mass of the object and v is its velocity.
Given that;
Momentum P = 10.1kgm/sMass m = 0.425kgVelocity v = ?Plug the given values into the above formula and solve for v.
P = m × v
v = P / m
v = 10.1kgm/s / 0.425kg
v = 23.76 m/s
Therefore, the velocity of the ball is 23.76 m/s.
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Two objects, A and B, are pushed across the floor. Object B experiences a greater applied force. Which statement best describes what must be true for Object A to have a greater value of work? (2 points) Group of answer choices Objects A and B are pushed the same distance. Object B is pushed a much smaller distance. Object A is pushed a much smaller distance. Equal forces are applied to Objects A and B.
The greater value of work for object A can be true if object B is pushed at a much smaller distance. Therefore, option B is correct.
What is the work?Work can be described as the energy utilized when a force is exerted to move a body through a specific distance. The work done describes both the exerted force as well as the displacement of the object.
The action of the applied force is to move a system in a straight line in the direction of the exerted force over a distance 'd'.
W= F ×d
Where 'd' is the displacement by an object, F' is the exerted force, and W is work done.
Given the force experienced by the object B is greater than object A:
[tex]F_{B} > F_A[/tex]
Now we know that the work done only depends upon the force and distance. In order to have a greater value of the work for object A. Object B is pushed a much smaller distance than object A.
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a ? is an electric device that uses electromagnetism to change voltage from one level to another or to isolate one voltage from another.
An electrical device known as a transformer transfers energy between one electric circuit to another by employing the electromagnetic induction principle.
How does the phenomenon of electromagnetism work?The coils of wire that make up an electromagnet have electricity running through them. When an electric current flows through the wire coils of an electromagnet, the coils act like a magnet because moving charges produce magnetic fields.
For instance, what is electromagnetism?Microwaves, X-rays, gamma rays, radio and television waves, ultraviolet rays, reflected light, ultraviolet light, and microwaves are a few samples of electromagnetic waves that propagate across space independently of matter.
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From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G=6.67x10^-11 N*m^2/kg^2, M-earth = 5.97x10^24kg, R-earth = 6.38x10^6m)
The height above the surface of the earth should be [tex]2.294 * 10^{6} m[/tex].
The Acceleration due to earth gravity is known as the acceleration due to gravity. It means when an object falls from a certain height towards the surface of the earth, its velocity changes. The change in velocity produces the acceleration in the object is called the gravitational acceleration
We know that acceleration due to gravity at height h is given by : [tex]g' = GM/(R+h)^{2}[/tex]
Where, G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]
M = mass of earth = [tex]5.97 * 10^{24} kg\\[/tex]
R = radius of earth = [tex]6.38 * 10^{6} m[/tex]
h = height
Given g' = 0.54
Putting these values in above equation we get h = [tex]2.294 * 10^{6} m[/tex]
i.e. to experience an acceleration of 0.54g , the object should be at [tex]2.294 * 10^{6} m[/tex] above the earth's surface.
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what refers to a type of cable composed of four copper wires twisted around each other within a plastic sheath?
Twisted-pair wiring is a category of cable that is comprised of four copper cables that have been wound around one another and encased in a plastic sheath.
What purpose does a twisted pair cables serve?Also with copper wires, twisted-pair cables were some of the first guided transmission medium. Twisted-pair cables are utilized in a variety of networking and communication applications today, including local area networks, digital subscriber lines, and phone lines.
Where can you use twisted pairs?The common copper cable known as twisted pair is used to link residential and commercial systems to the phone provider. Two copper pipe wires are wound around each other in a spirally to minimize electromagnetic induction or crosstalk between pairs of wires. Twisted pair connections require both wires for each connection.
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what is the relationship between waves characteristics and the generation of electrical energy?
The relationship between wave characteristics and the generation of electrical energy is that energy of the wave is converted into electrical energy and the energy carried by this wave depends on its amplitude.
What is the average power of a wave?The average power of a wave is the amount of energy of the wave transmitted over a given time.
Power = energy / time
The amount of energy carried by a wave is related to the amplitude of the wave.
A high energy wave is characterized by a high amplitude; a low energy wave is characterized by a low amplitude.
Mathematically, the formula for the average power of a wave is given as;
P(avg) = ¹/₂μω²A²v
where;
μ is the mass per unit length of the waveω is the angular speed of the waveA is the amplitude of the wavev is the speed of the waveThus, the energy carried by a wave is a function of its amplitude and speed.
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A parallel plate capacitor with circular plates of radius R = 16.0 cm and plate separation d = 9.00 mm is being charged at the rate of 8.00 C/s.What is the displacement current through a circular loop of radius r = 21.00 cm centered on the axis of the capacitor? 8.00 You are correct.What is the displacement current through a circular loop of radius r = 3.00 cm centered on the axis of the capacitor?What is the magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor?
The displacement current is 0.28125 C/s and the magnitude of the magnetic field is 2T.
Magnetic field strength is a quantitative measure of the strength or weakness of a magnetic field.
SI unit for the magnetic field is Tesla (T).According to the displacement current and the Biot-Savart law, the displacement current and magnetic field can be calculated.
radius of the circular plate = R = 16.0
radius of circular loop = r = 21.0 cm
rate of charge = (dq/dt) = 8 C/s
displacement current id = (dq/dt) * [tex]\pi r^{2}[/tex] / [tex]\pi R^{2}[/tex]
since r > R therefore in displacement current the formula can be changed as
id = (dq/dt) * [tex]\pi R^{2}[/tex] / [tex]\pi R^{2}[/tex]
id = (8) * [tex]\pi 16^{2}[/tex] / [tex]\pi 16^{2}[/tex]
id = 0.28125 C/s
magnetic field can be calculated by B = μ₀I/2πr
μ₀ = 4[tex]\pi[/tex] * [tex]10^{-7}[/tex] H/m
i = id = 0.28125 C/s
r = 3.0 cm
B = {4[tex]\pi[/tex] * [tex]10^{-7}[/tex] * 0.258125} / 2*[tex]\pi[/tex]*3*[tex]10^{-2}[/tex]
B = 1.87 T
B ≈ 2 T
The displacement current through a circular loop of radius r = 3.00 cm is 0.28125 C/s.
The magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor is 2T.
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What is the mass of an 8oz styrofoam cup?
The mass of an 8oz styrofoam cup is approximately 227 grams .
What is the mass of a substance?The mass of a substance is a measure of the quantity of matter present in that substance,
The mass of a substance is measured with a chemical balance and is independent of gravity. The SI unit of the mass of a substance is the kilogram. kg.
Other smaller multiples of the kg include grams, milligrams, centigrams, etc.
Some other unit of measurement of the mass of a substance is ounces (oz), pounds (lb), tonnes (t), etc.
The conversion from ounces to gram is 1 oz = 28.3495 grams
Hence, 8 oz = 8 * 28.3495 grams
8 oz = 226.796 grams or approximately 227 grams
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if the planets pull on the sun as much as the sun pulls on the planets, why are we able to approximate the sun as a fixed position when studying the planetary orbits?
If the worlds pull it on sun more than the sun does on the planets, then the above statement is true because of sun's acceleration is significantly smaller.
What is the name of the sun?Even though it is a star, and our own local star at that, our sun lacks a widely used and distinctive English proper name. We English people just refer to it as the sun. English speakers occasionally refer to our sun as Sol.
What really is sun in living?It emits heat and light, also known as solar energy, which enables life to live on Earth. To flourish, plants require sunshine. Humans and other animals alike depend on plants for nourishment as well as the oxygen they release. Earth would freeze absent solar heat.
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a block attached to a spring is oscillating with an amplitude of 10cm. what will be the block's amplitude if its total energy is quadrupled?
A block is attached to a spring is oscillating with an amplitude of 10 cm. If its total energy is quadrupled, the amplitude of resultant periodic motion becomes 16 times.
The position of block over time is given by the equation:
x(t) = A cos(ωt + Ф)
where, A is the amplitude
ω is the angular frequency
Ф is the angle
The total energy of the oscillation or periodic motion is stored as the potential energy. It is given by the equation, E = 1/2 * k * x²
where, k is the spring stiffness
Hence, the total energy is directly proportional to the square of the amplitude.
E ∝ A²
which means that, if energy is doubled the resultant amplitude of the periodic motion is 2² of quadrupled.
Similarly, if the total energy is quadrupled, the amplitude will be 4² times or 16 times.
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which statement is true about an object that is traveling in uniform circular motion? group of answer choices the net force on the object is directed away from the center of the circular path.
The statement that is true about circular motion is that; the net force on the object is directed toward the center of the circular path. Option D
What is the circular motion?We know that the circular motion is the kind of motion that occurs along a circular path. We know that in a circular motion, the direction of the motion is also important.
Now we know that the whirling of a stone around a circular path is one of the very typical examples of a circular motion in the context of our discussion here.
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Which statement is true about an object that is traveling in uniform circular motion? O A. The speed of the object varies. O B. The direction of the object's velocity is constant. OC. The net force on the object is directed away from the center of the circular path. O D. The net force on the object is directed toward the center of the circular path.
calculate the angular velocity of a 30 cm radius car tire when the car travels at 30.0 m/s (about 54 km/h).
The angular velocity of a car tire is 1 rad/s.
What is angular velocity?
Angular velocity is the speed at which the angle between two bodies changes when an object rotates or revolves around an axis. This displacement is depicted in the image by the angle formed by a line on one body and a line on the other.
We know,
Angular velocity = ω = [tex]\frac{V}{R}[/tex]
Given,
V = 30 m/s
R = 30 cm
Putting values in the formula
ω = [tex]\frac{30}{30}[/tex] rad/s
= 1 rad/s.
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Some asteroids contain molecules of carbon. There are a total of 1.708 x 1010 carbon molecules in a particular asteroid belt.
If each asteroid contains 6.1 x 105 molecules of carbon, how many asteroids are in the asteroid belt, written in scientific notation?
A few tens of meters across, or around the size of a home, and smaller asteroids are frequently referred to as meteoroids, however the option may vary slightly depending on the situation.
Explain the nature of asteroids.
Asteroids are rocky, airless pieces of the solar system's early formation, which took place about 4.6 billion years ago. They are also referred to as minor planets. As of this time, 1,113,527 asteroids are known. the visible cosmos
How many asteroids have impacted Earth?
Based on rates of crater creation discovered on the Moon, the Earth's closest astronomical neighbour, astronomers have calculated that 60 objects with a diameter of at least 5 km (3 mi) had struck the Planet inside the preceding 600 million years.
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If the swimmer starts at rest, slides without friction, and descends through a vertical height of 2.41 m
, what is her speed at the bottom of the slide?
Answer:
6.88 m/s
Explanation:
The Conservation of Energy states that:
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy
So we can write
[tex]mgh_{i}+\frac{1}{2}mv_{i} ^{2}=mgh_{f}+\frac{1}{2}mv_{f} ^{2}[/tex]
We can cancel the common factor of [tex]m[/tex] which leaves us with
[tex]gh_{i}+\frac{1}{2}v_{i} ^{2}=gh_{f}+\frac{1}{2}v_{f} ^{2}[/tex]
Lets solve for [tex]v_f[/tex]
[tex]gh_{i}+\frac{v_{i} ^{2}}{2}=gh_{f}+\frac{v_{f} ^{2}}{2}[/tex]
Subtract [tex]gh_f[/tex] from both sides of the equation.
[tex]gh_{i}+\frac{v_{i} ^{2}}{2}-gh_{f}=\frac{v_{f} ^{2}}{2}[/tex]
Multiply both sides of the equation by 2.
[tex]2(gh_{i}+\frac{v_{i} ^{2}}{2}-gh_{f})={v_{f} ^{2}[/tex]
Simplify the left side.
Apply the distributive property.
[tex]2(gh_{i})+2\frac{v_{i} ^{2}}{2}+2(-gh_{f})={v_{f} ^{2}[/tex]
Cancel the common factor of 2.
[tex]2gh_{i}+v_{i} ^{2}-2gh_{f}={v_{f} ^{2}[/tex]
Take the square root of both sides of the equation to eliminate the exponent on the right side.
[tex]{v_{f}=\sqrt{2gh_{i}+v_{i} ^{2}-2gh_{f}}[/tex]
We are given [tex]g,v_{i},h_{i},h_{f}[/tex].
We can now solve for the final velocity.
[tex]{v_{f}=\sqrt{(2*9.81*2.41)+(0^{2})-(2*9.81*0)[/tex]
Anything multiplied by 0 is 0.
[tex]{v_{f}=\sqrt{2*9.81*2.41[/tex]
[tex]{v_{f}=\sqrt{47.2842[/tex]
[tex]v_f=6.88[/tex]
A woman does 236 J of work
dragging her trash can 24. 4 m to
the curb, using a force of 18. 9 N.
At what angle was her force
directed?
(Unit = degrees)
According to the given statement is the 59.21° angle was her force directed.
What is a force?The word "force" has a specific meaning in science. At this level, calling a force a shove or a pull is entirely appropriate. A charge is not really something an object "has in it" or that it "contains." One thing experiences a force from another. Living organisms or inanimate objects are not the only things that can be considered forces. Every time two items interact, a force is exerted on every one of the objects. The force is no longer felt by the two objects when the interaction ends.
Briefing:Work done = force × distance
236J = 18.9cos(o) × 24.4
236/24.4 = 18.9cos(o)
(0.5117)cos^-1 = (o)
59.21°
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I energy ever created or detroyed? Why or why not? How doe thi relate to a roller coater
The energy can neither be created nor destroyed. It can be transformed from one form to another.
The law of conservation of energy states that, the total energy of an isolated system remains constant and it is said to be conserved over time. This means that the system always has the same amount of energy unless added from outside.
In the above question, it is asked if law of conservation of energy can be applied on a roller coaster. The answer is yes. On a roller coaster, energy changes from potential to kinetic and back again repeatedly over and over the course of the ride.
The two forms of energy which are important on a roller coaster are gravitational potential energy and kinetic energy. The roller coaster has the greatest amount of potential energy at the top of the first hill as it is the highest point of the roller coaster.
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A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom.From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom?
A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom. A circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom with height of 57.14 cm
The height that a circular hoop should be released can be calculate as follows:
Generally the equation for the potential energy of the sphere is mathematically given as
mgh= 1/2Iw² =1/2 mv²
where,
inertia of sphere
I = 2/5 mr²
and
angular velocity
w = v/r
therefore, we can input inertia of sphere and angular velocity to potential energy equation
mgh= 1/2Iw² =1/2 mv²
mgh = 1/2 ( 2/5mr²) ((v/r)² + 1/2mv²
mgh = 1/2 ( 2/5(v/r)²mr²) + 1/2mv²
mgh = 1/5 mv² + 1/2 mv²
mgh = 7/10 mv²
v² = 10gh
7
generally the equation for the inertia of circle of sphere is mathematically given as
I = mr²
mgh = mv²
h = v²/g
therefore h = 10gh/7
g
h = 57.14 cm
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how long (in s) does it take a child on a swing to complete one swing if her center of gravity is 4.54 m below the pivot?
If a child on a swing has a center of gravity 4.54 m just below pivot, it takes her T =4.05s to complete one swing.
What makes gravity a force?But in a larger sense, gravity is a force because it represents the interaction that happens when two masses are in close proximity to one another. Fundamentally, the warping of reality and the motion of entities through the stretched spacetime are what produce gravitational effects. However, the outcome appears to be the result of applying force.
How is gravity terminated?Dr. Ryan Stone, played by Sandra Bullock, returns to Earth at the end of "Gravity" and crashes into a lake. After taking off her spacesuit, Dr. Ryan swims towards the surface but initially finds it difficult to stand up straight.
Briefing:
T=2π√(l/g)
T=2π√(4.54/9.81)
T=4.052s
T =4.05s
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The kinetic energy of a 3 kg object moving at a speed of 4 m/s is: please I need it fast
Answer:
[tex]\huge\boxed{\sf K.E. = 16 \ J}[/tex]
Explanation:
Given data:Mass = m = 3 kg
Speed = v = 4 m/s
Required:Kinetic Energy = K.E = ?
Formula:[tex]\displaystyle K.E. =\frac{1}{2} mv^2[/tex]
Solution:[tex]\displaystyle K.E. =\frac{1}{2} (3)(4)^2\\\\K.E. =\frac{1}{2} (3)(16)\\\\K.E. = (2)(8)\\\\K.E. = 16 \ J\\\\\rule[225]{225}{2}[/tex]
Which best describes the riders' final velocities ? gabriella is speeding up at the same rate that kendall is slowing down, and franklin is not accelerating. gabriella is slowing down at the same rate that kendall is speeding up, and franklin is not accelerating. gabriella and franklin are both slowing down, and kendall is accelerating. gabriella is slowing down, and kendall and franklin are accelerating.
"While Kendall is accelerating and Gabriella was slowing down in lockstep, Franklin is not doing so.
What does the term "acceleration" in physics mean?When an object accelerates, its acceleration also moves in the same direction as its velocity. This indicates that the situation is developing. Example B shows an object moving in reverse while accelerating (i.e., having a negative velocity).
What do you call something that accelerates?By dividing that velocity change but by time it takes for change to occur, acceleration is determined. Similar to velocity, acceleration has a direction. When something speeds up, it moves more quickly in the area it is moving.
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what is scientific law
Answer: A scientific law describes a natural occurrence, but doesn't attempt to clarify how the event occurs. Or there is an 'if, then' statement that can be made and tested.
Answer: Scientific law are principles that are accepted by an overwhelming majority of scientists. Scientific laws or laws of science are statements, based on repeated experiments or observations, that describe or predict a range of natural phenomena.
Explanation: Hope this was helpful
What is the efficiency of a 10 hp DC motor that draws 31 amps at 300 volts?
The efficiency of a 10 hp DC motor that draws 31 A at 300 volts is equal to 80 %.
How to calculate the efficiency of a motor?The efficiency of a motor can be calculated from the ratio of the mechanical power output to the electric power input to the motor.
Given the horsepower of the DC motor = 10 hp
Conver the hp into watt:
1hp = 745.7 W
Output power = 10 hp = 10× 745.7 = 7457 W
Input power = 31 × 300 = 9300 W
The efficiency of the motor = Output/Input ×100
Efficiency = (7457/9300) ×100 = 80 %
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URGENT PLEASE ANSWER
A box takes 40 N to start moving when the coefficient of static
friction is .54. What is the weight of the box?
A.18 N, B.98 , C.81 N, D.74 N
Answer:
D. 74
Explanation:
40/.54= 74
Select the circle containing inaccurate information that does not align with the big bang theory.
It is incorrect to say in the first circle that "Only space existed," as this contradicts the big bang idea.
The Big Bang hypothesis describes how the universe suddenly appeared and started to grow from a single, infinitely tiny, infinitely hot, and endlessly dense point.
The First Circle's claim that "Only space existed" is false and contradicts the big bang theory, it can be concluded.
What is big bang theory?
The dominant theory used to explain how the cosmos got its start is called the Big Bang Theory. Simply expressed, it states that throughout the course of the following 13.7 billion years, the universe as we know it expanded and contracted from an impossibly hot and dense single point to the still-expanding cosmos we observe today. This expansion and contraction occurred at first at unfathomable speeds.
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newton's second law in 1 dimension: a 40-kg crate is being lowered with a downward acceleration is 2.0 m/s2 by means of a rope. (a) what is the magnitude of the force exerted by the rope on the crate?
The magnitude of force exerted by the rope on the crate is 312 N.
From Newton's second law of motion, we know the expression of force as,
F = m * a
where, m is mass
a is acceleration
Given that, mass of the crate is 40 kg
Acceleration is 2 m/s²
The net force that the rope is applying to the card while it is sliding downward is given by,
F = m(g - a)
Substituting the values,
F = 40(9.8 - 2)
F = 312 N
Thus, the net force exerted by the rope on the crate is 312 N.
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a 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. it accelerates upward at 30.0 m/s2 for 30.0 s, then runs out of fuel. ignore any air resistance effects.
a) What is the rocket's maximum altitude?b) How long is the rocket in the air?c) Draw a velocity vs. time graph for the rocket from lift-off until it hits the ground.
a). the rocket's maximum altitude is 54.8km .
b). the rocket in the air 227.6 s
Calculation :
Given data
The mass of the rocket is mr=200kgThe mass of the fuel is mf=100kgThe acceleration is ao=30m/s²The time period is t1=30sThe expression from the equation of motion can be given as,
v₁²−v²=2gs1......(1)
The velocity during the first phase can be calculated as,
v1=vo+at1
v1=0+(30×30)
v1=900m/s
(a)
The altitude attained during first phase can be calculated as,
s1=v²₁ / 2a
s1=900/(2×30)
s1=13500m
Substituting the values in equation 1 for distance travelled during second phase,
(900)²−0=2×(9.8)×s₂
s2=41326.5m
The maximum altitude attained by rocket can be calculated as,
s=s1+s2
s=13500+41326.5s
=54826.5m
s=54.8km
(b)
The total time period can be calculated by the expression,
t=ta+td......(2)
The time taken in second phase of the motion can be calculated as,
v=v1+gt2
0=900−(9.8)t2
t2=91.8s
The time of ascent can be calculated as,
ta=t1+t2
ta=30+91.8
ta=121.8s
The time of descent can be calculated as,
td=√(2s/g)
td=√(2×54832.5)/(9.8)
td=105.8 s
Substituting the values in equation 2,
t=121.8+105.8
t=227.6 s
Thus, the duration of rocket in the air was 227.6 s
(c)
Figure
From the figure,
At point A, fuel was out.
At point B, rocket attended maximum altitude.
At point C, rocket fell on ground.
Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object. As described in Newton's second law the magnitude of an object's acceleration is the combined effect of two sources.
The mass of this object is inversely proportional to the mass of the object, depending on the material from which it is made.
The SI unit of acceleration is meters per second squared.
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