The tension in the chain is the force acting on the child which is 394.76N.
What is tension the chain and calculate it?
The tension in the chain is equal to the force acting on the child in the seat. This force is equal to the child's weight, which is the force of gravity acting on the child's mass.
The weight of an object can be calculated using the formula:
Weight = mass x gravity
where mass is measured in kilograms and gravity is measured in meters per second squared. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
So, for a child with a mass of 40.2 kg, the weight would be:
Weight = 40.2 kg x 9.8 m/s^2 = 394.76 N
The tension in the chain is the force acting on the child which is 394.76N. However, it's important to note that this tension is in the direction of the force of gravity, which is downwards.
If the angle of the chain is different from the vertical direction, the tension in the chain will be affected by the angle and the force of gravity.
In this case, you would need the angle to determine the tension in the chain.
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A 10.0 g marble slides to the left with a velocity of magnitude 0.450 m/s on the frictionless, horizontal surface of an icy New York sidewalk and has a head on elastic collision with a larger 35.0 g marble sliding to the right with a velocity of magnitude 0.250 m/s.a. Find velocity of each marble after the collision. Since the collision is head on, all the motion is along a line. Take right as the +x direction.b. Calculate the change in momentum for each marble.c. Calculate the change in kinetic energy for each marble.
The change in momentum for each marble is −0.061m/s and the change in kinetic energy for each marble is −0.14m/s.
In physics, what is a momentum?
Momentum is characterised as the intensity of a body's motion.
As momentum depends on both velocity and the orientation of the body's motion, it is quantified by "mass velocity". Since speed is a vector and mass is a scalar, momentum is a vector. Mass times speed equals momentum.
What is the momentum unit in a formula?
Momentum. The momentum of an object is defined as its formas by its speed if it has a mass of m and a velocity of v. mv = momentum Momentum is a vector quantity since it has either magnitude and direction. Newton seconds, abbreviated N s, or kg m s 1 are the units of momentum.
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according to gay-lussac's law, the pressure of a gas varies directly with its temperature when volume is held constant.
According to Gay Lussac's Law, a given volume of gas kept at a fixed pressure will have a pressure that is directly proportional to its Kelvin temperature.
What does pressure directly vary with according to Gay-Lussac's law?According to Gay Lussac's Law, a given volume of gas kept at a fixed pressure will have a pressure that is directly proportional to its Kelvin temperature.A gas's molecules receive more energy when it is heated, which causes them to move more quickly.Additionally, the pressure will rise as a result of increased collisions on the container's walls.By maintaining a constant volume, Gay-Law Lussac's states that for a given mass of gas, the pressure fluctuates in a direct proportion to the absolute temperature of the gas.Increases in temperature and pressure of a sample of gas in a rigid container are correlated.To learn more about Gay Lussac's Law refer
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A human body is made mostly of water, which has a density of 1000 kg/m^3. A women weighs 123 pounds. 1 kg of her mass weighs about 2.2 pounds.
What is the approximate volume of the woman's body, in units of m^3??
V= ......m^3
The approximate volume of the woman's body is 55.9 m^3.
How to calculate volume using density and mass in the unit of m^3?To calculate the volume of a substance using density and mass in the unit of m^3, the following equation must be used: Volume = Mass/Density. The mass of the substance must be known, as well as the density. Density is the mass per unit volume, so the density of the substance must also be known.The mass of the substance is typically measured in kilograms (kg). The density of the substance is usually measured in kilograms per cubic meter (kg/m^3). Thus, to calculate the volume in m^3, the mass must first be divided by the density of the substance.For example, if the mass of a substance is 10 kg and its density is 2 kg/m^3, then the volume of the substance can be calculated by dividing 10 kg by 2 kg/m^3. This gives a result of 5 m^3. In conclusion, to calculate the volume of a substance using density and mass in the unit of m^3, the mass must be divided by the density of the substance. The mass of the substance is typically measured in kilograms and the density is usually measured in kilograms per cubic meter.To learn more about density refer to:
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7. Point charges of 5.00 μC and –3.00 μC are placed0.250 m apart. (a) Where can a third charge be
placed so thatthe net force on it is zero? (b) What if both charges arepositive?
a.) Third charge is placed so that the net force becomes zero:0.8620 m
b.) Both charges are positive: 0.1092 m
Define the term coulombs law?Coulomb listed the following characteristics of the electric force given charges in a resting state: Unlike charges attract each other whereas like charges repel one another.As a result, a positive charge pulls a negative charge toward it whereas two negatively charged ions repel one another. The line here between two charges is where the attraction and repulsion occurs.The stated data:
Q1 = 5.00 μC Q2 = -3.00 μCLet the third charge be 'Q3' such that (net force acting on Q3 = 0)
Let distance between Q1 and Q2 br 'd' = 0.250 m
Let Q3 be at a distance x to of right of Q2.
Distance between Q3 and Q1: d + x
The distance at which the third charge must be positioned for the net force to be zero is specified.
k|Q1||Q3|/(d+x)² = k|Q2||Q3|/(x)²
Write in terms of 'x'.
x = d/±√((|Q1|/|Q2|) - 1)
Put values:
x = 0.250/±√((|5|/|-3|) - 1)
x = 0.250/±√((5/3) - 1
x = 0.250/(±1.290 - 1)
x = 0.250/(1.290 - 1) or 0.250/(-1.290 - 1)
x = 0.8620 or −0.1092
AS, x can not be negative.
So, x = 0.8620
Part b:
Taking all data as above:
k|Q1||Q3|/(d-x)² = k|Q2||Q3|/(x)²
Write in terms of 'x'.
x = d/(1±√((|Q1|/|Q2|))
Put values:
x = 0.250m/(1±√((|5|/|3|))
x = 0.250/(1±√((5/3))
x = 0.250/(1±1.290)
x = 0.250/(1 + 1.290) or 0.250/(1 - 1.290)
x = 0.1092 or −0.8620
As, x can not be negative.
So, x = 0.1092
Thus, if both charges are positive, the distance is found as 0.1092 m.
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Base your answers to questions 1 through 5 on the information and diagram below. A 1200.-kilogram empty cart moving with a speed of 7.0 meters per second is about to collide with a stationary loaded cart having a total mass of 4000 . kilograms, as shown. After the collision, the carts lock and move together. [Assume friction is negligible.] 1-2. Calculate the speed of the combined carts after the collision. [Show all work, including the equation and substitution with units.] [2] 3-4. Calculate the kinetic energy of the combined carts after the collision. [Show all work, including the equation and substitution with units.] [2] 5. How does the kinetic energy of the combined carts after the collision compared to the kinetic energy of the carts before the collision? [1]
The diagram below shows an 8.0-kilogram cart moving to the right at 4.0 meters per second about to make a head-on collision with a. 4.0-kilogram .
What is called the diagram?A diagram is a simple drawing which consists mainly of lines and is used, for example, to explain how a machine works. ... a circuit diagram. You can reduce long explanations to simple charts or diagrams. Synonyms: plan, figure, drawing, chart More Synonyms of diagram.
Why are diagrams used?Diagrams are concise: Visualization is great for communicating dense and complex information, and as a result, improving productivity. Employees can understand the diagram clearly, they have fewer questions, make fewer mistakes and are more productive.
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A student walks up a hill. The student’s friend has the same mass and walks up the same hill, but completes the journey in less time. Which statement is true about the situation?
Since they both expended the same amount of energy, the statement that is true about the situation is: The student's friend developed more power than the student.
The correct option is C.
What is mechanical power?The rate at which mechanical energy can be given to a system is known as mechanical power. Remember that power is the transfer of energy over a given period of time. Although it can also be measured in watts, mechanical power is frequently expressed in horsepower.
Mathematically;
Power = work done/time taken
Since the student's friend walks up the hill at a faster rate, he developed more power than the student.
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Complete question:
A student walks up a hill. The student’s friend has the same mass and walks up the same hill, but completes the journey in less time. Which statement is true about the situation?
a. The student developed more power than the friend
b. The student expended more energy than the friend
c. The student's friend developed more power than the student
d. The student's friend expended more energy than the student
(a)the magnitude of the dependent current source in the circuit below depends on the current flowing through the resistor. determine_____.
Electronics Tutorial on the Current Source and how independent and dependent sources can be used to describe continuous current sources.
How do you locate the source of the dependent current?A dependent source is a current or voltage source that depends on another circuit's current or voltage rather than having a set value (i.e., independence). Y=kX, where X and Y are currents or voltages and k is the proportionality factor, is the usual expression for the value of a dependent source.On the other hand, a current source is referred to be a dependent or controlled current source if the current flowing through it is controlled by another voltage or current in a circuit. In Figure 2, these sources' symbols are depicted. Internal opposition to an ideal current source is infinite.To learn more about current source refer to:
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A point on the end of a tuning fork moves in the simple harmonic motion described by d=α sin ωt.
A tuning fork for middle C has a frequency of 264
vibrations per second. Find ω
.
When a tuning fork for middle C has a frequency of 264 vibrations per second, the ω = 1658.76.
What is frequency?Frequency is the measure of how frequently an alternating current (AC) changes from positive to negative in a second. This switching doesn't occur in direct currents (DC). Frequency is measured in Hertz (Hz). For instance, if a current changes its sign 60 times per second, it is said to have a frequency of 60Hz.
An AC current's period is the time it takes for the voltage to start at zero (zero), go from positive to negative, and then go back to zero (zero). The period's reciprocal is the frequency. High frequency, in contrast to low frequency, has more waves per second and a shorter period. Low frequency, on the other hand, has fewer waves per second but a longer period.
We need to find the value of variable ω
We know that the motion has a frequency of [tex]\dfrac{\omega}{2 \pi}[/tex]
Thus, with a given frequency of 264 vibration per second we obtain :
[tex]\dfrac{\omega}{2 \pi}[/tex] = 264
ω = 264 × 2π
ω = 528π
ω = 1658.76
Thus, when a tuning fork for middle C has a frequency of 264 vibrations per second, the ω = 1658.76.
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if you are located in the northern hemisphere, which of the following correctly describes a relationship between the sky and your location? if you are located in the northern hemisphere, which of the following correctly describes a relationship between the sky and your location? the longitude of the north celestial pole is circumpolar, and therefore crosses your zenith at the meridian. the altitude of the north celestial pole equals your latitude. the altitude of the celestial equator equals your latitude. the altitude of the north celestial pole equals your longitude.
if you are located in the northern hemisphere: The altitude of the north celestial pole equals your latitude.
What is celestial pole?The geographic North Pole of the Earth is carried into space by the Northern Celestial Pole. The celestial pole serves as a crucial point of reference in the equatorial co - ordinate system since the celestial meridian and the star's hour circles both pass through it. The north celestial pole is only 0.5° away from the polestar. The two places in the sky where the axis of rotation of the Earth crosses the celestial sphere are known as that of the north and south celestial poles. For observers at Earth's North Pole and South Pole, respectively, the north and south celestial poles appear to be always straight overhead.
correct option: The altitude of the north celestial pole equals your latitude.
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if a boiler has a stack temperature of 475 degrees f and the temperature of the air entering the furnace is 84 degrees f, how much heat is being lost to the atmosphere per pound of fuel burned? (note: the specific heat of the gases of combustion is .24 btu/lb.)
The heat that is being lost to the atmosphere per pound of fuel burned is 93.84[tex]\frac{btu}{lb}[/tex].
The amount of thermal energy required to raise a sample's temperature by 1 K when it weighs 1 kg is known as its specific heat.
When a substance, especially a gas, is heated while being allowed to expand (specific heat capacity at constant pressure) as opposed to being heated in a closed vessel that forbids expansion, its specific heat capacity may be much larger (specific heat capacity at constant volume).
Now, the formula that has to be used is
[tex]Q=mc\triangle T[/tex]
here we have to found heat per pound so mass is not needed
C is given 0.24
and temperature difference is 475-84 =391
So just put all the variable in formula
[tex]Q=391\times 0.24=93.84[/tex]
So, the heat loss is 93.84[tex]\frac{btu}{lb}[/tex].
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Choose a factor that would impact speed, velocity, or acceleration in a scenario presented by your peer.
Describe the impact that the factor has on the speed, velocity, and acceleration.
Traffic will slow us down, and turning will reduce our velocity. Stops will slow acceleration, and traffic will slow it down. Acceleration or deceleration will also affect velocity.
While turning, acceleration is also affected (centripetal acceleration). You made an excellent choice of the discussion topic.
In physics, velocity is defined as a vector measurement of the motion's direction and rate. To be more specific, an object's velocity can be defined as the rate of change in the object's position corresponding to a frame of reference and time. Simply put, velocity describes the rate at which an object moves in a specific direction. It determines how fast or slow something is moving. Consider the case of two moving objects. If both objects are moving in the same direction, determining which one is moving faster is simple. Velocity is a vector measure of an object's rate of motion.
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laws of motion notes
Newton's Laws of motion are: an object at rest remains at rest, and an object in motion remains in motion at constant speed and in a straight line. The acceleration of an object is determined by its mass and the amount of force applied. When one object applies a force to another, the second object applies an equal and opposite force to the first.
What are Newton’s Laws of Motion?Sir Isaac Newton contributed to physics and mathematics in a variety of ways. At the age of just 23, he created the theories of gravitation in 1666. In the "Principia Mathematica Philosophiae Naturalis," published in 1686, he presented his three laws of motion.
Newton revolutionised science by formulating his three laws of motion. Planets move in elliptical orbits as opposed to circles because of Newton's laws and Kepler's laws.
Newton's Laws of motion are
An object at rest remains at rest, and an object in motion continues to move in a straight line at a constant speed unless it is affected by an unbalanced force. The mass of an object and the strength of the applied force determine its acceleration. When one object exerts force on another, the second object exerts a force that is equal to and opposing that exerted by the first object.Learn more about Laws of motion
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A rectangular container measuring 17 cm ⨯ 52 cm ⨯ 67 cm is filled with water. What is the mass of this volume of water in kilograms and grams?
The mass of the water in the rectangular container measuring 17 cm x 52 cm x 67 cm is approximately 4,849.8 kg or 4,849,800 g.
What is the volume of the container in cubic centimeters?The volume of the container in cubic centimeters is calculated by multiplying its length, width and height together. In this case, the dimensions of the container are 17 cm, 52 cm and 67 cm. To find the volume, we multiply these three numbers together: 17 cm x 52 cm x 67 cm = 62876 cm^3. This is the total volume of the container in cubic centimeters. We can use this information to calculate the mass of the water in the container, by multiplying the volume by the density of water.
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use the relationships you found to determine the velocity that would be obtained if your apparatus had 40 washers.
The velocity for 40 washers would be 40 x 0.4 = 16 m/s.
Newton's Second Law of Motion
Newton's Second Law of Motion states that the acceleration of an object is proportional to the net force acting upon it and inversely proportional to its mass.
This question uses the concept of Newton's Second Law of Motion,
In this case, the acceleration is caused by the force of gravity acting on the washers, and the mass of the washers remains constant.
As the number of washers increases, the force of gravity increases as well, resulting in a higher acceleration and thus a higher velocity.
Steps are given below
1. Calculate the velocity for each number of washers: Start by calculating the velocity for each number of washers.
To do this, multiply the number of washers by the slope of the linear regression line (0.4 m/s/washer).
2. Find the velocity for 40 washers: Once you have the velocities for each number of washers, you can use this to determine the velocity for 40 washers.
To do this, multiply the number of washers (40) by the slope of the linear regression line (0.4 m/s/washer).
This gives us 40 x 0.4 = 16 m/s.
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A block is dropped from a high tower and is falling freely underthe influence of gravity. Which one of the following statements istrue concerning this situation? Neglect air resistance.
The kinetic energy increases by equal amounts over equaldistances.
The true statement concerning this situation is the total energy of the block increases by equal amounts over equal distances
What is the velocity of the block at the moment it hits the ground?The velocity of the block when it hits the ground depends on several factors, such as the initial height of the tower, the mass of the block, and air resistance. In the absence of air resistance, the velocity of the block at the moment it hits the ground is equal to the square root of twice the acceleration of gravity multiplied by the height from which it was dropped. Since the acceleration of gravity is approximately 9.81 meters per second squared, the velocity of the block at the moment it hits the ground can be calculated as follows:Velocity = √2 * 9.81 * HeightFor example, if the block was initially dropped from a height of 100 meters, its velocity at the moment it hits the ground would be approximately 44.3 meters per second. However, if the block is falling through air, the velocity may be slightly lower due to air resistance. Air resistance is a force that acts in the opposite direction to the motion of the block, reducing its velocity over time. The magnitude of air resistance depends on the size and shape of the block, as well as its velocity. If the block is falling at a high velocity and has a large surface area, air resistance can be quite substantial.To learn more about acceleration of gravity refer to:
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When the space shuttle is launch from earth the rocket engines burn fuel and apply a constant force on the shuttle until they burn out. Explain why the shuttles acceleration increases while the rocket engines are burning fuel
The space shuttle is launched from Earth with the help of rocket engines, which burn fuel to generate thrust.
Why the acceleration increases?As the rocket engines burn fuel, they apply a constant force on the shuttle, which causes it to accelerate.The acceleration of the shuttle increases as the rocket engines continue to burn fuel, because the force applied by the engines is greater than the force of gravity pulling the shuttle back down to Earth.Additionally, as the rocket engines burn fuel, the mass of the shuttle decreases, which also contributes to the increase in acceleration.The acceleration of the shuttle will continue to increase until the rocket engines burn out, at which point the thrust from the engines will decrease and the force of gravity will begin to dominate, causing the shuttle to slow down and eventually reach a steady state velocity.To learn more about acceleration refer:
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fill in the blank. the___determines the pressure on the systems low side. the temperature the liquid refrigerant is defrosting at the temperature of the liquid refrigerant's latent heat the temperature the liquid refrigerant is condensing at the temperature the liquid refrigerant is boiling at
The expansion valve determines the pressure on the systems low side. The temperature the liquid refrigerant is defrosting at is the temperature of its latent heat. The temperature the liquid refrigerant is boiling at is its boiling temperature.
What is temperature?The temperature is a measure of the amount of thermal energy present in a substance or system. It is typically measured in degrees Celsius (°C), Fahrenheit (°F), or Kelvin (K). Temperature is an important factor in many processes, such as the growth of plants, the development of animals, and the speed of chemical reactions. A hot day might be characterized by a high temperature, while a cold day might have a low temperature. Temperature can also be affected by elevation and latitude, with higher elevations and more northern or southern latitudes having lower temperatures than areas at lower elevations and closer to the equator.
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A spaceship hovering over the surface of Venus drops an object from a height of 33 m. How much longer does it take to reach the surface than if dropped from the same height on Earth? Neglect air resistance in both cases. [The acceleration due to gravity on Venus is 90.7% of that on Earth,
gVenus = (0.907)g.]
if something weighs more and there falling at the same speed do they have the same amount of kinetic energy?
The kinetic energy of an object is determined by its mass and velocity. Two objects falling at the same speed will have the same kinetic energy if they have the same mass.
What is kinetic energy?However, if one object has a greater mass than the other, it will have more kinetic energy.To understand this, it is important to know that kinetic energy is calculated using the formula: KE = (1/2) * m * v^2.Here are the main points:Kinetic energy is determined by mass and velocity.Two objects falling at the same speed will have the same kinetic energy if they have the same mass.An object with a greater mass will have more kinetic energy than one with less mass, even if they are falling at the same speed.Kinetic energy is calculated using the formula: KE = (1/2) * m * v^2where m is the mass of the object and v is its velocity.To learn more about kinetic energy refer:
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which of the following particles is a type of antimatter? O beta-minus O alpha O beta-plus O neutron
atomic nucleus Some radioactive elements' nuclei spontaneously released a positively charged particle. It has a and is comparable to a helium atom.
What kind of particle is an a?Alpha-minus O Alpha O O neutron plus beta atom The composite alpha particle (a) is made up of two neutrons and two protons that are firmly bonded together. They are released from the nuclei of some nuclides during an alpha-decay process, a kind of radioactive decay.
Alpha particles Mcq: What are they?In essence, a particle is a He nucleus made up of neutrons and protons. The charge on a particle is equal to two protons. Four units of mass are equal to two neutrons and two protons in a particle. The sign for a particle is hence 4He2.
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A crash test car of mass 1,000 kg moving at constant speed of 12 m/s collides completely inelastically with an object of mass M at time t = 0. The object was initially at rest. The speed v in m/s of the car-object system after the collision is given as a function of time t in seconds by the expression v=s/1+5la. Calculate the mass M of the object. b. Assuming an initial position of x = 0, determine an expression for the position of the car- object system after the collision as a function of time t. c. Determine an expression for the resisting force on the car-object system after the collision as a function of time t. d. Determine the impulse delivered to the car-object system from t = 0 tot = 2.0 s.
The mass M of the object 500KG ,the impulse delivered to the car-object system from 10 to 1 = 2.0 s. is 10,909, the resisting force on the car-object system after the collision as a function of N'S (1+56) 2
a) Calculate the mass M of the object.
P2 = PMcanVi=(Mcm + M) Vf
COLLISION HAPPENS AT too
(1000)(12)== (1000+ M) (8)
12000 = 8000 + 8M
v (o) =8 1+5(0)=
४%,| M =500ky+dx=dt
४ 1+56
Jdx:
४=11+5€
LET u = 1+5t8du = 5dt5
(b) Assuming an initial position of x = 0, determine an expression for the position of the car-object system after the collision as a function of time t.
814Sisi det४=en (1+5€)
(c) Determine an expression for the resisting force on the car-object system after the collision as a function of
time t.drd840a ==Je de1+5+(1+5t)F=ma = (1500) (-(1500) (-2)60,000=
(1+56) 2
(d) Determine the impulse delivered to the car-object system from 10 to 1 = 2.0 s.
I= op = M(AU) = = 1500 (THS (2)8
1+5(2)m.
M (V(2)-V(0))४1 +56);)=|-
10,909 N'S
What are the various types of collision?There are two different types of collisions among two bodies: 1) Head-on collisions, or one-dimensional collisions, where the speed of each skin just before impact coincides with the line of impact, and 2) Quasi collisions, oblique collisions, or two-dimensional collisions, where the speed of each body just before
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FILL IN THE BLANK The first step you should take to decelerate is to _______.
Answer:
If you are reffering to a manual transmission, the first step would be to press the clutch.
Answer: Release pressure on the accelerator
Explanation:
which of the following is an antiderivative of quantity of x squared plus 1 over x close quantity squared question mark
The antiderivative of x² + 1/x² is (1/3)x³ + x + C.
What is meant by antiderivative?An antiderivative, also known as an indefinite integral, is a mathematical operation that finds a function whose derivative is equal to a given function. This operation is the opposite of the derivative, which is a measure of the rate of change of a function at a given point. The antiderivative is used to solve problems in calculus and other branches of mathematics that involve integrals, which are the area under a curve. For example, in integration by parts, one must find the antiderivative of a function before it can be integrated. Antiderivatives are also used to find the area bounded by a curve, to determine the length of a curve, to calculate the volume of a solid of revolution, and to solve differential equations. Antiderivatives can be calculated by using the rules of calculus, such as the Fundamental Theorem of Calculus, integration by parts, and substitution. In addition, there are other methods, such as integration by parts, integration by substitution, and numerical integration.To learn more about antiderivative refer to:
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A jet airplane reaches 658. km/h on a certain flight. What distance does it cover in 10.0 min? Set the math up. But don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols. distance =
The distance traveled by airplane which has a speed of 10.97km/min is 109.7 km
The speed of the airplane = 658 km/h
= 658 / 60 km/min
= 10.97 km/min
The time taken by the airplane = 10 min
The distance traveled by airplane can be found using the formula,
s = d/t
where s is the speed of the airplane
d is the distance traveled by airplane
t is the time taken by the airplane
Let us rearrange the above equation,
d = s x t
Let us substitute the known values in the above equation, we get
d = 10.97 x 10
= 109.7 km
Therefore, the distance traveled is 109.7 km
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While exploring a sunken ocean liner, the principal researcher found the absolute pressure on the robot observation submarine at the level of the ship to be about 413 atmospheres. The inside of the submarine is kept at atmospheric pressure. The density of seawater is 1025 kg/m3 (a) Calculate the gauge pressure on the sunken ocean liner. . (b) Calculate the depth of the sunken ocean liner. (c) Calculate the magnitude of the net force due to the fluid pressures only on a viewing port of the submarine at this depth if the viewing port has a surface area of 0.0100 m2 (d) What prevents the ‘net force’ found in part c from accelerating and moving the viewing port. . Suppose that the ocean liner came to rest at the surface of the ocean before it started to sink. Due to the resistance of the seawater, the sinking ocean liner then reached a terminal velocity of 10.0 m/s after falling for 30.0 s. (e) Determine the magnitude of the average acceleration of the ocean liner during this period of time. (f) Assuming the acceleration was constant, calculate the distance d below the surface at which the ocean liner reached this terminal velocity. (g) Calculate the time t it took the ocean liner to sink from the surface to the bottom of the ocean.
(a)Gauge pressure is 412 atmospheres ; (b) depth = 4.24 x 10^2 m. (c)magnitude of the net force = 4.13 x 10^2 N. (d) viewing port is made of strong material that can withstand the high pressure (e)magnitude of the average acceleration = 0.333 m/s^2 (f) d=498.5m (g) t= 29.94 s.
What is gauge pressure?Gauge pressure is the pressure of a system above the atmospheric pressure.
(a) Since the inside of the submarine is kept at atmospheric pressure, gauge pressure on the sunken ocean liner is 413 atmospheres - 1 atmosphere = 412 atmospheres.
(b) P = ρgh, where P is pressure, ρ is density of seawater, g is acceleration due to gravity, and h is depth. Given P = 413 atmospheres, ρ = 1025 kg/m3, and g = 9.8 m/s^2. Therefore, h = P/(ρg) = 413 atmospheres / (1025 kg/m3 * 9.8 m/s^2) = 4.24 x 10^2 m.
(c) As, F = PA, where F is force, P is pressure, and A is area. Given, P = 413 atmospheres and A = 0.0100 m^2. So, F = PA = 413 atmospheres * 0.0100 m^2 = 4.13 x 10^2 N.
(d) The viewing port is made of a strong material like glass or acrylic that can withstand the high pressure of the surrounding seawater.
(e) As, v = at, where v is final velocity, a is acceleration, and t is time. We know that v = 10.0 m/s and t = 30.0 s. So, a = v/t = 10.0 m/s / 30.0 s = 0.333 m/s^2
(f) d = 1/2at^2 to find the distance. d = 1/20.333*30^2 = 498.5m
(g) v^2 = u^2 + 2as, where u is initial velocity, v is final velocity, a is acceleration and s is distance. s = (10^2 - 0^2)/(2*0.333) = 299.4 m. So, time t = s/v = 299.4/10 = 29.94 s.
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What mass of a material with density is required to make a hollow spherical shell having inner radius r1 and outer radius r2? (Use any variable or symbol stated above along with the following as necessary: .)
mass =
The mass of a material with density is required to make a hollow spherical shell having an inner radius of r1 and an outer radius of r2 is given as [tex]\frac{4\pi.p(r^3_2-r^3_1)}{3}[/tex]
What is Density?The amount of anything in relation to a unit of volume, area, or length: as. : the substance's mass in relation to its volume. grams per cubic centimeter is a unit of density.
The volume of a spherical shell can be calculated from:
V= [tex]V_o - V_1 = \frac{4}{3}\pi(r^3_2 - r^3_1)[/tex]
From the definition of density, ρ = m/v
So,
m = pv = p[tex](\frac{4}{3} \pi)[/tex][tex](r^3_2 - r^3_1)[/tex] = [tex]\frac{4\pi.p(r^3_2-r^3_1)}{3}[/tex]
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. determine the magnitude and coordinate direction angles of the resultant of the two forces acting at point a.
The magnitude is 756.72 N and the coordinate direction angles of the resultant of the two forces acting at point A are alpha([tex]149^{0}[/tex]), beta([tex]0^{0}[/tex]), and gamma([tex]59^{0}[/tex]).
What do you mean by resultant force?The resultant force is the overall force acting on an object, which is the vector sum of all the individual forces acting on the object. It is the net force that determines the motion of an object. In other words, it is the force that would have the same effect on the object's motion as all the individual forces combined. The direction of the resultant force is the direction of the net force and the magnitude is the sum of the magnitudes of the individual forces.
Given,
A = (5, 0, 0) m
B = (0, 2, 3) m
C = (0, -2, 3) m
AB = B - A = -5i + 2j + 3k
[tex]AB_{cap}[/tex] = [tex]\frac{-5i+2j+3k}{\sqrt{5^{2}+2^{2}+3^{2} } } =\frac{-5i+2j+3k}{6.16}[/tex]
AC = C - A = -5i - 2j + 3k
[tex]AC_{cap} =\frac{-5i+2j+3k}{6.16}[/tex]
Fb = 400 (-5i + 2j + 3k ) / 6.16[tex]F_{b} =\frac{400(-5i+2j+3k)}{6.16} =-324.44i+129.78j+194.67k \\F_{c}=\frac{400(-5i+2j+3k)}{6.16}= -324.44i-129.78j+194.67k[/tex]
[tex]F_{net} =F_{b} +F_{c}[/tex]= - 648.88i + 389.33k N
Magnitude = |[tex]F_{net}[/tex]| = [tex]\sqrt{648.88^{2}+389.33^{2} } =756.72N[/tex] .......Ans
Coordination angles,
alpha = [tex]cos^{-1} \frac{F_{net} x}{|F_{net}| } =149^{0}[/tex]
beta = [tex]cos^{-1}\frac{F_{net}y }{|F_{net} |} =0^{0}[/tex]
gamma = [tex]cos^{-1}=\frac{F_{net}z }{|F_{net} |} =59^{0}[/tex]
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The complete question is given below:
looking at the plot, i determined that the explorer 35's orbit is 11,400 km* across its long dimension. use this distance to find the orbit's semimajor axis in kilometers.
The semimajor axis of Explorer 35's orbit is 5,700 km. The semimajor axis of Explorer 35's orbit is half the long dimension of 11,400 km.
What is orbit's semimajor axis?The semimajor axis of an orbit is the longest radius of the ellipse that is described by the orbit. It is also half of the sum of the periapsis and apoapsis distances. The semimajor axis can be used to calculate the orbital period of an object in an orbit around a given primary body. For example, for an object in a circular orbit around a star, the orbital period can be calculated as T = 2π√a^3/μ, where a is the semimajor axis and μ is the standard gravitational parameter of the star. The semimajor axis is also used to calculate the energy of an object in orbit around a given primary body. For a two-body system, the energy of the object can be calculated as E = -μ/2a, where a is the semimajor axis and μ is the standard gravitational parameter of the primary body. The semimajor axis can also be used to calculate the angular momentum of an object in orbit around a given primary body. For a two-body system, the angular momentum of the object can be calculated as L = μa^2, where a is the semimajor axis and μ is the standard gravitational parameter of the primary body.To learn more about semimajor axis refer to:
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A pendulum bob swings from point A to point B along the circular arc indicated in the figure (Figure 1).Part A Indicate whether the work done on the bob by gravity is positive, negative, or zero. O work done on the bob by gravity is positive O work done on the bob by gravity is negative O work done on the bob by gravity is zero
A pendulum bob swings from point A to point B along the circular arc indicated that
a. Work done is positive
b . Work done is ZERO ( because the string force(tension) is always perpendicular to the motion
Work done in physics is the energy that is transferred to or from an item when a force is applied along a displacement. For a constant force acting in the same direction as the motion, the work is simply equal to the product of the force's magnitude and the distance traveled. When a force is applied, it is said to have a component that moves the point of application, or it is said to have positive work. If the component of a force at the point of application is in the opposite direction of the displacement, the force is said to do negative work.
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Which of the following five quantities is NOT an expression for energy? Here m is a mass, g is the acceleration due to gravity, h and d are distances, F is a force, v is a speed, a is an acceleration, Pis power, and t is time. Fd1/2mv2 Pt mgh ma
The term for force rather than energy. Energy is also produced when power and time are combined. a term for energy, as a result. As a result, option D is the only one that does not express energy.
What is a word that describes energy?Consequently, w = ma x (v2 - u2)/2a, where an is cancelled and u = 0. Work completed equals 1/2 mv2, so. and energy or kinetic energy equals work done.
Does force represent energy?Power is an expression of energy expended through time (effort), of which force is an element, as opposed to force itself, which is the fundamental outcome of an interaction between two objects. Although both force and power can be quantified and explained, a force is a genuine physical.
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