We first apply the data to the problem.
Data:
V = 90km/hT = 20minD = ?Now, we convert the minutes to hours.
Conversion:
T = 20 min • (1 hr / 60 min)T = 1/3 hrThen, we apply the formula that is.
Formula:
D = V • TFinally we develop the problem.
Developing:
D = (90km/h) • (1/3h)D = 30kmThe distance traveled by the kangaroo is 30 kilometers.
world-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 15 m/s^2. how much horizontal force f must a sprinter of mass 60 kg exert on the starting blocks to produce this acceleration?
The force exerted by the sprinter who is having a mass of 60 kg and accelerating at 15 m/s² is 900 N
The acceleration of the sprinter is 15 m/s²
The mass of the sprinter is 60 kg
The force exerted by the printer can be found using the formula,
F = ma
where F is the force exerted by the sprinter
m is the mass of the sprinter
a is the acceleration of the sprinter
Let us substitute the known values in the above equation, we get
F = 60 x 15
= 900 N
Therefore, the force exerted is 900 N
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A stunt woman of mass mmm falls into a net during the filming of an action movie. She experiences a normal force magnitude {F_n}F
n
F, start subscript, n, end subscript while touching the net.
Which of the following statements is correct for the acceleration magnitude {a}aa of the stunt woman?
Consider upward as the positive direction.
The correct expression for the acceleration magnitude {a}aa of the stunt woman from from the above given task is: m(a + g).
The correct option is b.
The complete image is attached.
Why the acceleration magnitude {a}aa of the stunt woman N is m(a + g)It follows that one of the Newton law motion describes a system that in every action, there is equal and opposite reaction. In order words, no reaction will occur without an action.
That being said, the stunt woman from the above given task possesses a mass m which will ultimately be falling under acceleration due to gravity. This means that the acceleration, a by the process equals gravitational acceleration, g under standard conditions. It is on this premise that her acceleration magnitude {a}aa is given by m(a + g).
In conclusion, we now know from the detailed explanation and image above that the magnitude of the woman is m(a + g).
Complete question:
A stunt woman of mass m falls into a net during the filming of an action movie. She experiences a normal force magnitude {F_n}F
n
F, start subscript, n, end subscript while touching the net.
Which of the following statements is correct for the acceleration magnitude {a}aa of the stunt woman?
Consider upward as the positive direction
a. m(a - g).
b. m(a + g).
c. m(a + g + m)
d. None of the above.
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prior to the discovery of atmospheric pressure, the failure of wine to pour from the bottom of a barrel unless an opening was made in the top was explained by:
Horror vacui or Nature abhors a vacuum is the principle that explain the inability of wine to pour from the bottom of a barrel without a top opening.
What is Horror vacui ?In physics, horror vacui, or plenism, is a postulate attributed to Aristotle. He articulated a notion, later questioned by the atomism of Epicurus and Lucretius, that nature contains no vacuums since the denser surrounding material continuum would fill the rarity of an incipient void right away.
He also argued against the void in a more abstract sense, saying, for instance, that since a void is nothing by definition, it cannot be said to exist. This is in line with Plato. Furthermore, because it wouldn't have any features, it couldn't be perceived by the senses and its supposition wouldn't be able to add to the explanation.
Thomas Hobbes, Robert Boyle, and others debated the theory in the context of fluid mechanics in the 17th century. Sir Isaac Newton and Gottfried Leibniz continued the discussion in the early 18th century.
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a lawn roller is rolled across a lawn by a force of 115 n along the direction of the handle, which is 22 above the horizontal. if george develops 64.6 w of power for 90.0 s, what distance is the roller pushed?
The distance roller pushed is 54.7 meter when a lawn roller is rolled across a lawn by a force of 115 N along the direction of the handle.
What is distance and force and what distance is the roller pushed ?Distance is the quantity representing the product of speed and time of the motion under given time period.Force is a newtonian quantity representing the product of mass and acceleration .Here the lawn roller is rolled across a lawn by force 115 N , the force along the horizontal would be F = 115 cos 22 = 106.60.Power = force x speed, P = 115 x speed, 64.6 = 115 x speed , speed = 64.6/115 = 0.56 m/s.Distance = speed x time = 0.56 x 90 = 54.7 meters, hence the distance roller pushed is 54.7 meters.Therefore when a lawn roller across a lawn by force of 115 N the distance roller pushed will be 54.7 meter.To know more about distance visit:
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a 4.3 kg object is suspended by a string from the ceiling of an elevator. the acceleration of gravity is 9.8. determine the tension of the string if it is accelerating upward at a rate of 2.1
The tension of the string is due to the mass suspended at a weight of 4.3 kg is 51.57N
The mass of the object = 4.3 kg
The acceleration due to gravity = 9.8 m/s²
The accelerating of the string upwards = 2.1 m/s²
The tension of the string can be found using the formula,
T = m(g + a)
where T is the tension of the spring
m is the mass of the object
g is the acceleration due to gravity
a is the acceleration upwards.
Let us substitute the known values in the above equation, we get
T = 4.3 ( 9.8 + 2.1)
= 4.3 ( 11.9)
= 51.57
Therefore, the tension on the string is 51.57 N
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Define momentum pls NOW
the dragster in problem 20 completed the 402.3 m (0.2500 mile) run in 4.936 s. if the car had a constant acceleration what would be its acceleration and final velocity?
The final velocity is 163.04m/s.
Solution:
Use equation x = 1/2at^2
402.3 = 5a(4.9360^2
A = 33.03m/s^2
Final velocity
V = Vo +at
= 0 + 33.03(4.936) = 163.04m/s
Velocity is the rate of change of position with respect to time, and acceleration is the rate of change in velocity. Both are vector quantities, but velocity is in meters/second and acceleration is in meters/second squared. Determines the height from which the object fell. Multiply the height by the acceleration of the object due to gravity.
Acceleration is the rate of change of velocity over a specified time. Calculate acceleration by dividing the change in velocity by the change in time. People mistakenly believe that the terminal velocity of a falling object is zero because the object stops as soon as it hits the ground. In physical tasks, terminal velocity is the velocity just before touching the ground. Objects no longer free fall when colliding with the ground.
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what is the damping ratio of a series rlc circuit with a resistance of 100 ohms, an inductance of 0.1 mh and 100 pf?
Because using maximum current, it resonant current, and the supply voltage is 100 V (Vs = RI = 1000 x 0.1). Equating the reactances of the inductive and capacitive components the resonant frequency, f° =159.155
What do current and an electron mean?Electron current is the name for the movement of electrons. Negative to positive electron flow occurs at the terminal. Conventional current, or just current, behaves as though positive charge carriers are what produce current flow. From the positive terminal towards the negative, conventional current flows.
What is current fundamental law?Ohm's law, or V=IR, is the most fundamental electrical law. The V indicates the potential difference between two chargesdifference of two charges is indicated by the V, which stands for voltage. Alternatively, it measuressaid, it is a measurement of the effort necessary to transfer a unit charge between two places.
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The moving of soil by water
Erosion is the moving of soil by water, which represent a geological process able to shape the features of different rock layers.
What is the geological erosion?The geological erosion is the process by which natural forces such as winds and also water may shape a given layer of rock, which occurs at a geological scale because it is a slow phenomenon.
Therefore, with this data, we can see that the erosion process is a slow phenomenon that shape the geographic features of layers of rocks on the Earth surface.
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part beach child holds the end of a rope and child b pulls on the rope so that he moves toward child a. how far will child b have moved when he collides with child a?
3.813m far will child b have moved when he collide with child a.
We know that,
[tex]x_{cm}[/tex]=[tex]\frac{m_{a} x_{a} +m_{b} x_{b} }{m_{a}+x_{b} }[/tex]
[tex]x_{cm}[/tex]=26(0)+49(11)/26+49=7.187
A=From a is 7.187m
B=we forces know that, the internal can't change the motion of CM. SO they will meet Collide at their C.M.
B has to move the distance from B→C.M. So they will meet Collide at their C.M B will forces.
11-7.187 = 3.863
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Pls help answer this
Answer: The rods both have the same charge therefore they repel each other. The force of repulsion creates a downward force on the balance pan and therefore the balance registers a higher reading.
Which variable is NOT shown on a velocity-time graph?
Acceleration is the variable that is NOT shown on a velocity-time graph
Velocity - time graph, evidently shows two variables, velocity on one axis and time on other . But as we know , that acceleration can be calculated by the formula which is
acceleration = change in velocity / time
hence , the derivative of velocity is acceleration
which mean that the slope of the Velocity - time graph shows the acceleration , which cannot be seen , but is hidden as the slope of that graph
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what is the origin of the jovian moons? what is the origin of the jovian moons? they are trojan asteroids, orbiting 60 degrees ahead or behind jupiter. they all formed with the planet. they were ripped from the planet's interior in an early cataclysmic event. they were main belt asteroids, captured by jupiter's strong gravity. the four galilean moons formed with jupiter, most others were later captures.
(e)The four Galilean moons formed with Jupiter, most others were later captures
What Are the Characteristics of the Planet Jupiter?Since ancient times, the planet Jupiter has been a noteworthy astronomical object. It was called after the Roman king of the gods. Galileo observed Jupiter and its moons in 1610, and this observational data was crucial in establishing the heliocentric theory of planetary motion. When it is closest to Earth, this outer planet is hundreds of millions of kilometers away, but it is still clearly visible as a bright, colorful point in the night sky.The largest planet in the solar system is the gas giant Jupiter, which is more than 300 times as massive as Earth. Jupiter, after the moon and Venus, is the third-brightest object in the night sky because of its massive size and reflecting clouds. Jupiter orbits the sun at a distance of roughly 500 million miles, well outside the asteroid belt. One Jupiter year is roughly comparable to 12 Earth years due to the great distance between the two planets.Jupiter is orbited by more than 60 identified satellites or moons. Some satellites have brief, erratic orbits and are very small. Like the four moons found by Galileo, Io, Europa, Ganymede, and Callisto, other satellites are big and stable. These moons feature intricate, layered structures that are reminiscent of our own Earth and are almost as big as planets. The goal of current and upcoming space missions is to map out the moons of Jupiter and look for liquid water or possibly life.To learn more about Jupiter, refer to
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the moon orbits earth at an average distance of 3.84 x 108 m in a path that takes 27.3 days to complete. what is the centripetal acceleration of the moon? (remember, you must convert time into seconds.)
If the moon orbits the Earth at a distance of 3.84 x 10⁸ on a path that takes 27.3 days to complete, its centripetal acceleration will be 2.7x 10⁻³ m/s².
How can we determine the centripetal speed of the moon?A body moving in a circular path at a high rate of speed is said to be experiencing centripetal acceleration. We can calculate the moon's centripetal acceleration using the centripetal acceleration formula.
We are informed that the moon is approximately 3.84 x 10⁸ miles away from Earth and that a full rotation of the moon takes 27.3 days.
The distance traveled by the moon in 27.3 days is its velocity.
v = x/t
v = 2 πr/t
v = 2.41x10⁹/2.35x10⁶
v = 1025.5
The radius is 3.84 x 108 m and the velocity is 1,025.5 m/s. Here, we will determine the centripetal acceleration of the moon.
[tex]a_{c}[/tex] = v²/r
[tex]a_{c}[/tex] = (1025.5)²/3.84 x 10⁸
[tex]a_{c}[/tex] = 2.7 x 10⁻³
We now know the centripetal acceleration of the moon to be 2.7 103 m/s².
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an unbalanced force is applied to a mass, producing an acceleration. if the same unbalanced force is applied to a mass one-half as large, the resulting acceleration will be
When an imbalanced force is applied to a mass, an acceleration results. When the same unbalanced force is applied to a mass that is half as large, the resulting acceleration doubles.
The rate at which an object's velocity with respect to time changes is called its acceleration. The vector quantity of accelerations (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration in relation to that force.
An influence that can alter an object's motion is known as a force. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest). Intuitively, a push or a pull can also be used to describe force.
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.
the distance between two successive minima of a transverse wave is 2.76 m. five crests of the wave pass a given point along the direction of travel every 14.0 s. find (a) the frequency of the wave and (b) the wave speed.
The wave's frequency is 0.35 Hz, and its velocity is 0.9857 m/s. Wave speed is the amount of space a wave covers in a certain length of time, such as how many meters it covers in a second.
How fast or how fast is a wave?Despite the fact that technically, velocity implies both direction and speed wave velocity is most often used to describe speed. Wave intensity has no bearing on a wave's velocity, which is determined by the product of the its wavelength and frequency.
Wave speed and frequency: what are they?A stationary point is traversed by waves at a specific frequency over a specified period of time. The following equation demonstrates the connections between the three variables: Wavelength × Wave Frequency = Speed. This equation uses the units of meters for wavelength and hertz (Hz) for frequency, or the number many waves per second.
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Explain how heating a gas can lead to: no change in the kinetic energy of the gas.
Heating of gas leads to change in kinetic energy of the gas.
As the temperature of the system increases, the molecules in it begin to move faster, and the speed of the particles is directly proportional to the kinetic energy.
Kinetic energy is the energy possessed by the gaseous particles while they are in motion.
Mathematically, KE = (1/2)mv^2,
where KE is kinetic energy, m is mass, and v is velocity.
When the temperature of a gas increases but the pressure remains the same, the volume of the gas increases, which means that the molecules must cover more space in the same amount of time by moving faster.
Kinetic energy increases as collisions between different molecules increase and the speed of motion increases. This behavior is demonstrated by Charles's law with the equation V/T = k. In this equation, V is the volume and T is the temperature, and the two are directly proportional. Similarly, temperature and pressure are also directly related, as in the Pressure law equation, P/T = k, where P is pressure and T is temperature.To know more about kinetic energy,
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A hair dryer uses the energy from the plug in order to power a small fan that blows air. When a hair dryer is being used, which is one of the energy transformations that takes place?.
Energy transformation takes place when using a hair dryer, electrical energy into kinetic energy and thermal energy.
Energy can be converted according to the law of conservation of energy. Every object transforms the original form of energy into another form called a converter. Every electrical device works to convert electrical energy into other forms.
A microwave converts electrical energy into thermal energy.A lightbulb converts electric energy into light energy.A mixer converts electric energy into kinetic energy.When we use a hairdryer
The temperature of small wires inside it will be raised because the electrical energy transforms into thermal energy.The motion of a small fan happens because the electrical energy transforms into kinetic energy.The small fan gonna blows the air between hot wires and creates hot air that comes out from it.Learn more about Energy Convertion here: https://brainly.com/question/961052
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what is the relation between the current through the resistor and the voltage drop across the resistor
By way of Ohm's Law, the voltage drop is proportional to the cutting-edge flowing thru a resistor. (So in numerous collection resistors with the same resistance, the drop across each one is identical, because the present day throughout each one is equal).
The connection between the current, voltage, and resistance is expressed through Ohm's regulation. This states that the modern-day flowing in a circuit is at once proportional to the implemented voltage and inversely proportional to the resistance of the circuit, provided the temperature stays steady.
Resistors in the collection deliver identical cutting-edge, however, the voltage drop throughout them isn't the same as their man or woman resistance values will create one-of-a-kind voltage drops across every resistor as decided by way of Ohm's regulation ( V = I*R ).
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how does the final kinetic energy of the lighter box compare to the final kinetic energy of the larger box?
If the heavier object and the heavier object are moving at the same speed, the answer is yes.
What is kinetic energy?Simply put, an object's kinetic energy is the amount of energy expended, or work put into it, to accelerate it from rest to a specified velocity, let's say v.The mass of an object is relevant in this situation because it will influence how much labor is required to accelerate it and provide it with kinetic energy.More specifically, a heavier object that travels from rest to the same velocity v will have a lower kinetic energy than a heavier object since the latter requires less work to do so.The object's kinetic energy can be represented as a function of its velocity and of its mass kinetic energy after it achieves velocity v.=1/2×mass×velocity2To learn more about kinetic energy refer to:
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a charged particle, passing through a certain region of space, has a velocity whose magnitude and direction remain constant. if it is known that the external electric field is zero everywhere, then can you conclude that the external magnetic field is also zero? ignore gravity.
YES, if it is known that now the external electric field equals zero everywhere, then you can infer that external magnetic field also is zero.
In plain terms, how is a magnetic field?The region surrounding a magnet that experiences the effects of magnetism is known as the magnetic field. When describing the distribution of the magnetic force within and around a magnetic object in nature, the magnetic field is a useful tool.
What are the workings of the magnetic field?The vicinity of a magnet that exhibits magnetic force is known as the magnetic field. South and north poles are found on every magnet. The opposite poles are drawn to one another, whereas the same poles are drawn away from one another. The atoms in iron have north-seeking poles that line up in the exact direction when it is rubbed against a magnet.
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light of wavelength 585.0 nm illuminates a slit of width 0.80 mm. (a) at what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.95 mm from the central maximum? m (b) calculate the width of the central maximum. mm
The width of the central maximum is 1.9×10-3 m.
For the distance L, where
light wavelength λ= 585 nm =585 x 10-9 m
Slit width yields sw =0.80 mm= 0.80 x 10-3 m
(a) First, we deduce that the minimum integer value m= 1 for the central maximum distance yields a minimum diffraction value from the center distance as Yc=0.95 mm 0.95 x 10-3 m. This relationship can be
calculation:-
yc=L sinθ=L(mλ/sw) ----------(1)
Therefore, rearranging terms from the above equation, we get:
L=sw/λ(yc)
Whereby substituting initial values, the screen distance equation produces:
L=[(0.80×10-3)/(585×10-9)](0.95×10-3)
=1.3 m
(b) Now, we deduce that the central maximum yields from equation (1):
W = 2 (yc)
Therefore, substituting initial values, we get:
W = 2 (0.95 x 10-3 m)
=1.9×10-3 m
Wavelength is the distance among the same points (adjacent crests) within the adjoining cycles of a waveform signal propagated in space or along a wire. The wavelength is the distance between two wave crests, and it will likely be the same for troughs. The frequency is the number of vibrations that bypass a given spot in a single.
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Which of acceleration, age, speed, temperature, and velocity are vector quantities?.
Velocity and acceleration are vector quantities whereas speed, temperature and age are not.
What is a vector quantity?Vector is a quantity that has both magnitude and direction and is represented by an arrow whose direction is same as that of the quantity and length is proportional to the quantity's magnitude.
Vector has magnitude and direction but it does not have position. Velocity and acceleration both are vector quantities as they have magnitude and direction.
If the speed of an object remains same but direction changes then the object is accelerating. It is important to remember that acceleration and velocity aren't always in the same direction.
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In all the cases shown below the velocity vector, v1 and v2 have the same length
The resultant velocity will have largest absolute value when the two velocities are parallel and moving opposite direction.
option B is the correct answer
What is the resultant velocity two vectors?The resultant velocity of two vectors is the single vector that can represent the two vectors effectively in terms of magnitude and direction.
Mathematically, the formula for determining the resultant of two vectors is given as;
R² = v₁² + v₂² - 2v₁v₂cos(θ)
where;
v₁ and v₂ are the two vectorsR is the resultant of the two vectorsθ is the direction of the two vectorsFrom the above formula, the resultant velocity will have largest absolute value when;
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consider the properties of a string that has a length of 1.0 m and a wave speed of 45 m/s. show answer no attempt what is the fundamental frequency in hz of the string?
By using simple harmonic motion, it can be calculated that The fundamental frequency of the string will be 45Hz.
The wavelength of the standing wave for any given harmonic is related to the length of the string.
Considering the wavelength is equal to the length of the string. It means one wavelength is equal to the length of the string. If more wavelength is made then answer would be different.
so we have wavelength = 1m
wave speed = 45 m/s
as we know that from simple harmonic motion,
frequency = speed/wavelength
frequency = 45/1
frequency = 45 Hz
Hence frequency of the string is 45 Hz.
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why do neutrinos generated in the core of the sun travel to the surface so quickly, compared to gamma ray photons?
Neutrinos generated in the core of the sun travel to the surface so quickly, compared to gamma ray photons because they don't interact with electromagnetic forces.
Neutrinos are neutral, massless particles. Because of their lack of mass, neutrinos can travel through space faster than photons. They have no electric charge, so they don't interact with electromagnetic forces. They also have no strong interactions and only weak ones, which means they can pass through matter without interacting with it at all.
Gamma rays are another type of radiation that originates from nuclear reactions in stars like our sun. however, photons are affected by gravity and other forces just like any other particle would be when moving at these speeds. They're also absorbed by matter much more readily than neutrinos are because they do interact electromagnetically with other particles around them.
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a 500 g mass is tied to a string and swung in a horizontal circle with a radius of 40 cm. the speed of the mass is held constant, and the period of rotation is 0.7 s.the direction of the velocity of the object is:
The direction of the velocity of the object is 3.6 m/s.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
Given;
m = 500g = 0.5 kg
r = 40 cm = 0.4 m
T = 0.7 sec
The perimeter of circular rotation = 2πr
= 2 ×π (0.4)
= 2.51 m
Speed = distance traveled / total time taken
= 2πr/T
= 2.51/0.7
= 3.59 m/s
speed = 3.6 m/s
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. A girl of mass 35 kg and boy of mass 25 kg are connected by a light rope. They move horizontally in a skating rink. A second rope is attached to the girl and with this second rope, she is pulled by a force of 300 N. The magnitude of their acceleration is ?
The magnitude of the acceleration of the boy and the girl is 5 m/s².
What is the acceleration of the boy and the girl?The magnitude of the acceleration of the boy and the girl is determined by applying Newton's second law of motion as shown below.
F = ma
where;
F is the net force on the boy and girl = Tm is total mass of the boy and the girl = m₁ + m₂a is the common acceleration of the boy and the girlsubstitute the given parameters and solve for the common acceleration of the boy and the girl
a = T/(m₁+ m₂)
a = (300 N) / (35 kg + 25 kg)
a = 5 m/s²
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If the X-component of the momentum is 460000 Kg.m/s and the Y-component is
230000 Kg.m/s. Find the magnitude of the momentum [r].
The the magnitude of the momentum is 514295 Kg·m/s.
What is momentum?Momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction.
Given parameters:
X-component of the momentum : Pₓ = 460000 Kg.m/s
Y-component of the momentum : [tex]P_Y[/tex]= 460000 Kg.m/s
We have to find; the magnitude of the momentum : P = ?
We know that momentum is vector quantity and the magnitude of the momentum : P = √( Pₓ² + [tex]P_Y[/tex]²)
= √(460000² + 230000²) Kg.m/s .
= 514295 Kg·m/s .
Hence, the the magnitude of the momentum is 514295 Kg·m/s.
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If two vehicles approach an uncontrolled intersection at about the same time, who must yield?.
If two vehicles approach an uncontrolled intersection at about the same time the driver of the vehicle on the left shall yield the right-of-way to the vehicle on the right.
A driver proceeding through an uncontrolled intersection must yield to a vehicle to their right, as that vehicle has the right of way even though the two vehicles arrived at the same time.
At an uncontrolled intersection, the Vehicle A driver must yield to traffic on its right and proceed with caution only when it is safe to do so. Therefore, they would be found 100% responsible.
Therefore when two vehicles approach an uncontrolled intersection on the same side then the vehicle on the left shall yield the right-of-way to the vehicle on the right.
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