The speed of the cars just after the collision is 0.875 m/s.
What is the calculated ?
The calculated answer will depend on the context of the question. Without more information it is not possible to provide a definitive answer.
The calculated answer is not possible to provide without knowing the question.
The calculated answer is not possible to determine without more information. Depending on the question and the associated data, the answer could vary.
This can be calculated using the conservation of momentum: Momentum before collision
Momentum after collision(14,000 kg x 1.50 m/s) + (10,000 kg x 0 m/s) = (24,000 kg x v),21,000 kg m/s = 24,000 kg x v,v = 21,000 kg m/s / 24,000 kg
= 0.875 m/s
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Calculate the energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm.
a. 4.85×10−19 J4.85×10−19 J.
b. 2.06×10−19 J2.06×10−19 J.
c. 8.13×10−19 J8.13×10−19 J.
d. 1.23×10−19 J1.23×10−19 J.
e. 5.27×10−19 J5.27×10−19 J.
Option A is correct.
The energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm is 4.85×10−19 J.
The formula to calculate the energy is:
E = hc/λ
Where
E is the energy, h is planck's constant, c is speed of light, and λ is the wavelength.
Putting the values in the formula:
E = 6.63×10^34 × 3.8×10^8/410.1 ×10^9
E = 4.85×10−19 J4.85×10−19 J.
Thus the energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm is 4.85×10−19 J.
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If you quadruple the distance between m1 and m2, by what factor will the gravitational force change?answer choices1/4 F4F1/16 F16F
Answer:
F = G M1 M2 / R^2
Since F is proportional to 1 / R^2
Quadrupling the distance (R) will reduce the force by
F2 = F1 / 16
Our mission to Mars have allowed us to observe the skies from the surface of another planet. From a martian point of view, what do you predict we would see in this geocentric solar system, but not in our heliocentric model?
From a Martian point of view, the most notable difference between observing the solar system in a geocentric model versus a heliocentric model would be the relative positions of the planets in the sky. In a geocentric model, the Earth is at the center of the solar system and all the other planets orbit around it. In contrast, in a heliocentric model, the sun is at the center of the solar system and all the planets, including Earth, orbit around it.
If we were observing the solar system from the surface of Mars, we would see the planets from Mars' point of view. In this scenario, the planets would appear to move in the sky in ways that are different from what we observe from Earth. For example, Mars and Earth would appear to be orbiting around the sun at different rates, and thus their relative positions to each other would change over time, but the relative positions of the other planets to the Earth would not change as much as in our heliocentric model.
Additionally, the apparent size and brightness of the planets would also appear different from Mars than they do from Earth. This is due to the fact that the distance between Mars and the other planets is not the same as the distance between Earth and the other planets.
In summary, from a Martian point of view, the relative positions of the planets in the solar system would appear different than what we observe from Earth due to the geocentric model of the solar system and the difference in the distance between Mars and the other planets.
A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t)=VC0sinωt.If R=3kΩ, C=100pF, VC0=100mV, and ω=105rad/s, what is VR?
The time-dependent voltage across the capacitor is given by VC(t)=VC0sinωt.If R=3kΩ, C=100pF, VC0=100mV, and ω=105rad/s, then the vr is 3 mv.
What is capacitor?A capacitor is an electrical component consisting of two conductors separated by an insulator, known as a dielectric, designed to store electrical energy. They are most commonly used in applications such as filters, wave shaping, and energy storage.
Capacitors can store electrical energy in the form of an electrostatic field, which is created between the two conductors when a voltage is applied. The amount of energy stored is directly proportional to the amount of voltage applied, as well as the size of the conductors and dielectric used.
Since the voltage across the capacitor is a sine wave with a maximum amplitude of 100mV and a frequency of 105rad/s, the voltage across the resistor is also equal to 100mV.
Therefore, the voltage across the resistor, VR is equal to 100mV.
capacitive reactance, XC = 1/(w×c)
= 1/(10^5×100×10^-12)
= 10^5 ohms or 100 k ohm
current amplitude through the ckt, I = VCo/XC
= 100×10^-3/(10^5)
= 1×10^-6 A
vR = I×R
= 1×10^-6×3×10^3
= 3×10⁻³ v
= 3 mv
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A capacitance C and an inductance L are operated at the same angular frequency. A) At what angular frequency will they have the same reactance? Express your answer in terms of the variables C and L B)If L = 5.30 mH and C = 3.90 μF , what is the numerical value of the angular frequency in part A? C) What is the reactance of each element?
A) The angular frequency at which they will have the same reactance is equal to 1/√(LC).B) The numerical value of the angular frequency in part A is 8.51 x 10^6 rad/s.C) The reactance of each element is equal to 1/√(LC), which is equal to 5.91 kΩ.
What is the numerical ?
Numerical refers to a quantity that is expressed or represented by a number. It is a numerical value that can be used in mathematical equations and calculations. Numerical can also refer to a type of data that consists of numbers or numerical values, such as dates, times, measurements, or financial data.Numerical is a term used to describe data that is expressed in numerical form, such as numbers or numerical values. This type of data is used to make calculations and accuracy is important in order to make reliable predictions and decisions.
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how much distance is between you and the deer when you come to a stop?
The distance between you and deer is 28.75 m, when you come to stop, if the speed of the car is 21 m/s, and reaction time is 0.5 second.
Initial distance between the car and the deer, d = 38 m
Let the initial speed, u = 21 m/s
Reaction time, t = 0.5 sec
Maximum deceleration of the car, a = 10 m/s²
By the second equation of motion,
S = ut + 0.5at²
S = 21 × 0.5 + 0.5 × (-10) × 0.5²
S = 9.25 m
So the distance between the deer and you = 38 - 9.25 = 28.75 m.
--The given question is incomplete, the complete question is "If you are driving in a car at 21 m/s and suddenly a deer appears in front of you at a distance of 38 meter. If your reaction time is 0.5 sec and maximum deceleration of the car is 10 m/s² then what will be the distance between you and deer when you stop the car?"
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on a far away planet, a 500 hz tuning fork is held over the open top of a glass pipe held vertically. the pipe is filled to the top with water then slowly drained until the air column inside it is in resonance with the vibrations of the tuning fork. when this first occurs the air column is 150 mm long. what is the speed of sound in the (closed) pipe?
The speed of sound in the pipe is 150m/s and that found to be enhanced when air column is 150 mm long.
What does "tuning fork" mean?
a two-pronged metal tool used for tuning musical instruments and determining standard pitch that produces a set tone when struck.
ΔL = 150mm => 0.15m = λ/2
=> λ = 2 x 0.15 => 0.3 m
The velocity of sound => frequency x wavelength
500hz x 0.3 m => 150m/s
Which tuning fork's frequency is higher?The length of a tuning fork's prongs determines the pitch it produces. Each fork has a stamp that says the note it makes (for example, A) and the frequency in Hertz (e.g. 440 Hz). Higher pitch (frequency) noises are produced by shorter prongs than by longer prongs.
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How much work can a motor with a power output of 31 W do in 8 s? Report your answer to the nearest whole number.
The quantity of energy transferred or transformed per unit of time is known as power.
What is Power?The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Power is related to other factors; for instance, the power required to move a ground vehicle is equal to the product of the vehicle's velocity, traction force on its wheels, and aerodynamic drag.
A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft.
Therefore, The quantity of energy transferred or transformed per unit of time is known as power.
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=
10. An object of mass mi
2.5 kg is connected to another object of mass m₂ = 4.0 kg by a compressed
spring. Both objects are at rest on a frictionless surface. When the spring is released, the objects are
pushed apart and a total energy of 16.8 J is given to the two objects. The speed of object m₁ is
a.
3.2 m/s
b. 2.9 m/s
1.8 m/s
8.3 m/s
C.
d.
The speed of the objects can be obtained as 2.9 m/s.
What is the speed of the objects?We have to note that the principle of the transformation if energy is seen to hold here. In the case that we have the elastic potential energy of the spring can be converted into the kinetic energy of the moving objects.
As such we have;
E = 1/2 mv^2
m = mass of the objects
v = speed of the objects
E = energy of the objects
Then we have;
16.8 = 0.5 * (2.5 + 4.0) * v^2
v = √16.8/ 0.5 * (2.5 + 4.0)
v = 2.9 m/s
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how are speed and velocity related? choose all that are true. group of answer choices speed is average velocity speed is the rate of change of velocity speed is the magnitude of velocity velocity is an object's speed and which direction its traveling speed and velocity can be measured in the same units speed and velocity have different units
Speed is the rate of change of distance, while velocity is the rate of change of position. Speed is a scalar quantity, which means it only has magnitude and no direction, while velocity is a vector quantity, which means it has both magnitude and direction. Therefore, all options except the first one are true. Speed can be measured in units such as meters per second (m/s).
Velocity has units of meters per second in a specific direction. This means that velocity is a vector quantity and has direction while speed is a scalar quantity and only has magnitude.
In short, speed is just a scalar representation of velocity, it tells you how fast an object is moving, but it doesn't tell you the direction of motion, whereas velocity tells you both the speed and the direction of motion.
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Echolocation is a form of sensory perception used by
most bats, toothed whales and porpoises, as well as a
few birds. The animal emits a pulse of sound which
is reflected from objects; the reflected pulse is then
detected by the animal to learn about its environ-
ment or interact with other animals. Echolocation • waves emitted by whales have frequencies of about 200,000Hz. (a) What is the wavelength of the whale's echolocation wave? (b) If an obstacle is 100m from the whale, how long after the whale emits a wave will the reflected wave return to him?
(a) The wavelength of the whale's echolocation wave is 1.66 x 10⁻³ m.
(b) The time taken for the reflected sound wave to return is 0.6 second.
What is the wavelength of the whale's echolocation wave?The wavelength of the whale's echolocation wave is calculated by applying the relationship between the speed of sound, wavelength and frequency of sound.
Mathematically, the formula is given as;
v = fλ
where;
v is the speed of sound wave = 331 m/sf is the frequency of sound = 200,000 Hzλ is the wavelength of the sound = ?λ = v / f
λ = ( 331 ) / ( 200,000 )
λ = 1.66 x 10⁻³ m
The time taken for the reflected sound wave to return is calculated as follows;
v = ( 2d ) / t
t = ( 2d ) / ( v )
where;
d is the location of the obstaclet = ( 2 x 100 m ) / ( 331 m/s )
t = 0.6 second
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For which component(s) does reversing direction not affect the current and voltage readings?
For a component in a direct current (DC) circuit, reversing the direction of current flow will not affect the current or voltage readings.
However, in an alternating current (AC) circuit, reversing the direction of current flow will affect the voltage reading, but not the current reading.
In a direct current (DC) circuit, the current flows in one direction and voltage remains constant. Therefore, reversing the direction of current flow in a DC circuit will not affect the current or voltage readings. However, in an alternating current (AC) circuit, the current and voltage alternate between positive and negative values. Reversing the direction of current flow in an AC circuit will change the polarity of the voltage, but the current will remain unchanged. The amplitude and frequency of the AC current and voltage remain the same, regardless of the direction of current flow.
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find the volume of a cone with diameter 12 m and height 20 m. a. 40 pi m3 c. 240 pi m3 b. 120 pi m3 d. 720 pi m3
The cone has a 240π m³ capacity.
Describe Volume .
Volume in mathematics refers to how much three-dimensional space an object or closed surface takes up. The volume is expressed in cubic units such as m3, cm3, in3, etc. It is how much space a thing or material occupies.
Volume and capacity are two more names for the same thing.
Cone diameter is 12 meters, given.
radius = diameter/2 = 12/2 = 6 meters.
Cone height is 20 meters.
Cone volume is calculated using 1/3πr2h.
where h = height and r = radius
volume equals 1/3 x π (6)2 x 20.
volume equals 240 m³
As a result, the volume is 240 m³
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to cover a distance of 10 km, jacob runs some of the way at 15 km/h, and walks the rest of the way at 5 km/h. his total journey time is 1 hour. how far did jacob run?
According to the question, To cover a distance of 10 km, jacob runs some of the way at 15 km/h, and walks the rest of the way at 5 km/h. 7.5 km runnng, and .5 km walking is done by jacab.
What is Distance?Regardless of the starting or finishing positions of an object, duration can be characterized by the amount the space it has traveled.
Jacob ran for x hours; consequently, he walked for 1-x hours.
Time x speed = Distance.
15x+ 5*(1-x) =10,
15x+5–5x =10,
10x =5,
x= 0.5 hours.
Jacob therefore ran for thirty minutes and then walked for another thirty minutes.
Let's examine,
15 km/ hr x 0.5 hr
= 7.5 km runnng,
and 5 km/ hr x 0.5 hr
= 2.5 km walking.
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claim b: more potential energy can be stored by moving against the magnetic force closer to a magnet. which variable will you test and which variable(s) will you keep the same? how will you measure the effect of each variable?
Definitely Not, since they are brought closer to one another in this instance, there will be a loss of potential energy as a result of the increased compression of space. As a result, this assertion is untrue.
Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
Potential energy is the energy that is stored in any object or system as a result of its position or component arrangement. The environment outside of the object or system, such as air or height, has no impact on it. In contrast, kinetic energy refers to the energy of moving particles inside a system or an item. Energy that cannot be turned into kinetic energy is known as potential energy. Potential energy is stored energy that is capable of performing work but is not doing so right now.
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if a skater who is spinning pulls her arms in so as to reduce her rotational inertia by half, by how much will her angular momentum change? by how much will her rate of spin change? group of answer choices her angular momentum is doubled. her spin rate is doubled. her angular momentum is cut in half. her spin rate does not change. her angular momentum is cut in half. her spin rate is cut in half. her angular momentum does not change. her spin rate doubles.
In light of the aforementioned equations, the rate of spin will double if the skater's rotational inertia is cut in half while spinning.
What does rotational inertia actually mean?Rotational inertia is a property of any rotating object. It is a scalar value that describes how difficult it is to change the rotational velocity of an object around a certain rotational axis. Similar to rotational inertia in rotational mechanics, mass plays a similar role in linear mechanics.
Rotational inertia is determined by what?Both an object's mass and its distribution of mass in relation to its axis of rotation play a role in rotational inertia. The shape of an object dictates its rotational inertia, unlike other circumstances in physics where we can make things simpler by imagining we have a point mass.
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A car is moving on a straight road at 5m/s. it is accelerated at 3m/s. what will be its velocity after 4 seconds?
Answer:
17m/s
Explanation:
v=u+at
v=5+3*4
v=17m/s
a 24.3 kg mass and a 45.8 kg mass are separated by a center-to-center distance of 4.6 m. measuring from the center of the 24.3 kg mass, determine the center of mass of the system.
Determine the center of mass of the system is 3.0 kg.
What is mass ?
A body's mass serves as a proxy for its volume of matter. The mass unit established by SI is the kilogramme (kg). A body's mass never varies, it should be mentioned. only under unusual, exceptional circumstances where a considerable amount of energy is provided to or taken away from a body.
What is kilogram ?
The SI's (International System of Units) unit of mass, the kilogramme (sometimes spelled kilogramme), has the unit symbol kg. In addition to being a measurement unit widely utilised in research, engineering, and commerce globally, the word "kilo" is commonly employed in everyday speech. "One thousand grammes" is meant by it.
a. Mass of the bear cub, m1 = 40 kg
Mass of the log, m2 = 600 kg
The speed with which the bear leaps, v1 = 4 m/s
Let v2 be the speed of the log.
Using law of conservation of momentum, m1v1 = m2v2
40 x 4 = 600 x v2
Speed of the log, v2 = 0.27 m/s
0.27 m/s
b. A cannonball explodes in mid-air into several fragments. According to law of conservation of momentum, total momentum of all the fragments is equal to the momentum of the cannonball just before explosion.
c. Mass, m1 = 24.3 kg
Mass, m2 = 45.8 kg
Center to center distance, r2 = 4.6 m
Distance of the center of mass from the center of 24.3 kg is R = m1r1+m2r2m1+m2
R = 24.3 x 0+45.8 x 4.624.3+45.8
= 3.0 m
d. Using Newton’s 2nd law of motion, force F = m(v- u)t
Ft = m(v-u)
But, Ft is the momentum, and m(v-u) is the change in momentum.
Hence, the impulse is equal to a change in momentum.
Impulse is: I
Therefore, determine the center of mass of the system is 3.0 kg.
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why are the inner planets relatively poor in the surface gases hydrogen and helium compared to the outer planets?
Due to their smaller size and somewhat weaker gravity than the outer planets, the inner planets were unable to draw significant volumes of gas into their atmospheres.
Why is gravity a force?Gravity, on the other hand, is a force in the broadest sense since it characterizes the resulting interaction between two masses. Both the motion of objects through stretched spacetime and the warping of spacetime are the main origins of gravitational effects. The effect, however, seems to be the consequence of using force.
What causes gravity?When he released his general relativity theory in 1915, Einstein discovered the solution. You are drawn toward the ground by gravity because all mass-bearing things, such as the Earth, physically bend and distort spacetime, the fundamental fabric of the cosmos. You experience gravity as a result of that curvature.
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Which type of radioactive decay would produce a decay particle that would move along path A?
Which type of radioactive decay would produce a decay particle that would move along path A?
? decay
?+ decay
?? decay
? decay
The type of decay cannot be determined.
SubmitHintsMy AnswersGive UpReview Part
A β decay particle would be created and would travel along path A.
A beta ray is released from an atomic nucleus during a radioactive decay process known as beta decay. The proton in the nucleus changes from a proton to a neutron during beta decay, and vice versa. The process of a proton into a neutron is called β+ decay. Similar to this, neutron to proton conversion is referred to as β- decay. Three common emissions come from radioactive decay that occurs naturally. When these emissions were first discovered, scientists couldn't tell them apart from other, well-known particles, so they gave them the names alpha particles, beta particles, and gamma rays. The first three letters of the Greek alphabet were used to name these particles.
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At this radius, what is the magnitude of the net force that maintains circular motion exerted on the pilot by the seat belts, the friction against the seat, and so forth? answer in units of n.
The magnitude of the net force that maintains circular motion is 6.4 x 10^3 N.
Magnitude is a measure of the strength or intensity of something. It is often used to measure physical quantities such as size, force, energy, pressure, and speed. It can also be used to measure abstract concepts such as loudness, brightness, and happiness.
The magnitude of the net force that maintains circular motion can be found using the equation F = mv^2/r, where F is the net force, m is the mass of the pilot, v is the velocity of the pilot and r is the radius of the circular motion.
Assuming the pilot has a mass of 80 kg and the velocity of the pilot is 8 m/s, and the radius of the circular motion is 10 m, the magnitude of the net force that maintains circular motion is 6.4 x 10^3 N.
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The magnitude of the net force that maintains circular motion is 6.4 x 10³ N.
What is magnitude?Magnitude is a measure of the strength or intensity of something. It is often used to measure physical quantities such as size, force, energy, pressure, and speed. It can also be used to measure abstract concepts such as loudness, brightness, and happiness.
The magnitude of the net force that maintains circular motion can be found using the equation F = mv²/r, where F is the net force, m is the mass of the pilot, v is the velocity of the pilot and r is the radius of the circular motion.
Assuming the pilot has a mass of 80 kg and
the velocity of the pilot is 8 m/s,
and the radius of the circular motion is 10 m,
F = mv²/r
putting the values we get-
F = {80 kg × (8)²} / 10m
F = 6.4 x 10³ N
the magnitude of the net force that maintains circular motion is 6.4 x 10³ N.
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The number of wave crests passing a given point per unit time is given by
a. frequency
b. amplitude
c. wavelength
d. velocity
e. period
"The number of wave crests passing a given point per unit time is given by frequency."
The quantity of vibrations per unit of time is known as frequency, and with each vibration, a wave crest passes through a certain location. Thus, frequency is defined as the number of wave crests that pass a specific spot in a unit of time.
Wave frequency is the quantity of waves that pass a specific place in a predetermined amount of time. the amount of time it takes for two crests to pass one wavelength apart at a certain location. Most of the times, the wave period is expressed in seconds, e.g. one wave every 6 seconds. The unit of frequency is the Hertz.
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a 1.50-kg object is held 1.20 m above a relaxed mass- less, vertical spring with a force constant of 320 n/m. the object is dropped onto the spring. (a) how far does the object compress the spring? (b) what if? repeat part (a), but this time assume a constant air-resistance force of 0.700 n acts on the object during its motion. (c) what if? how far does the object compress the spring if the same experiment is performed on the moon, where g 5 1.63 m/s 2 and air resistance is neglected?
When a spring is distorted by an outside force agent, energy is stored within the spring. The work done and then employed to distort the spring constitutes the spring energy. Its deformation length squared determines how much energy a spring has.
Who or what represents spring energy?It is the energy held within a compressible or elastic substance, such as a spring, rubber band, or molecule. It also goes by the name elastic potential energy. It is determined by multiplying the movement's force by its distance. Without stretching, or in the typical position, the spring has no energy.
Which kind of energy does spring contain?Mechanical energy is the energy held under tension within objects. Rubber bands that have been stretched and compressed are two instances of mechanical energy storage.
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An object placed in a graduated cylinder raises the volume from 12.2 mL to 14.5 mL. Find the volume of the object.
To find the volume of the object, you need to subtract the initial volume of the graduated cylinder (12.2 mL) from the final volume of the graduated cylinder plus the object (14.5 mL). So the volume of the object = 14.5 mL - 12.2 mL = 2.3 mL
What is volume?The volume of an object is a measure of the amount of space it occupies. It is typically expressed in units of cubic length, such as cubic meters (m^3), cubic centimeters (cm^3), or milliliters (mL).
The volume of an object can be determined using a variety of methods, depending on the shape and properties of the object. For example, the volume of a solid object can be found by measuring its length, width, and height, and multiplying them together. The volume of a liquid can be found by measuring its mass and density, or by using a graduated cylinder.
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A jet plane is speeding down the runway during takeoff. Air resistance is not negligible. Draw a free body diagram
Weight: The weight of the jet plane is exerted upon it because the plane has some mass. The action of the weight is downward.
The Lift or the Normal Force: The lift force is the force that works against the weight of the aircraft to propel it upward in the air. The weight of the plane exerts a normal force that keeps the aircraft in the air.
Thrust: The force that aids in propelling an airplane in the desired direction is known as the thrust force. The jet engine is what generates this force. The plane is propelled forward through the air by this force.
Drag: The differential in velocities between solid things and the air is what produces drag. The jet plane's forward momentum is resisted by the drag force.
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Consider each of the electric- and magnetic-field orientations given next. In each case, what is the direction of propagation of the wave?A) E in the +xdirection,\vec Bin the +ydirection.Please ChooseB) E in the -y direction,\vec Bin the +x directionPlease ChooseC) E in the +z direction,\vec Bin the -x direction.Please ChooseD)\vec Ein the +y direction,\vec Bin the -z direction.Please Choose
A) The direction of propagation of the wave is in the +z direction. This is because the wave is transverse, and the electric and magnetic fields are perpendicular to each other and to the direction of wave propagation. Since E field is in the +x direction and B field is in the +y direction, the direction of propagation is in the +z direction.
B) The direction of propagation of the wave is in the -z direction. This is because the wave is transverse, and the electric and magnetic fields are perpendicular to each other and to the direction of wave propagation. Since E field is in the -y direction and B field is in the +x direction, the direction of propagation is in the -z direction.
C) The direction of propagation of the wave is in the +y direction. This is because the wave is transverse, and the electric and magnetic fields are perpendicular to each other and to the direction of wave propagation. Since E field is in the +z direction and B field is in -x direction, the direction of propagation is in the +y direction.
D) The direction of propagation of the wave is in the +x direction. This is because the wave is transverse, and the electric and magnetic fields are perpendicular to each other and to the direction of wave propagation. Since E field is in the +y direction and B field is in the -z direction, the direction of propagation is in the +x direction.
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how much work is required to lift a 10.-newton weight from 4.0 meters to 40. meters above the surface of earth?
Force and displacement combine to produce work in physics. The object has a displacement of 36 m and is under the influence of a 10 N force. The work done is then 360 J.
What work is being done?The degree of force required to move a thing a specific distance is referred to as the work done. Essentially, it is a measurement of the amount of energy that is transmitted to or from an item so that it can be moved.
What is accurate regarding work performed?Work is equal to 0 if the body's displacement is normal to the direction of the force. The work performed is negative if the body's displacement is in the opposite direction from the force's direction. Regardless of the displacement direction, work is always positive.
Considering that a force of 10 N was exerted on a weight
displacement occurred
= 40 - 4
= 36 m
Work done = F × ds
ds = 36 m
F = 10 N
W = 10 N × 36m
= 360 J.
Thus, 360 J of work is needed to raise a 10-newton weight form 4.0 m to 40 meters above Earth's surface.
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a 1500-kg car moving at 9.6 m/s suddenly collides with a stationary car of mass 1700 kg. if the two vehicles lock together, what is their combined velocity immediately after the collision?
The combined velocity immediately after the collision is 0 m/s. When two objects collide and lock together, the momentum of the two objects is conserved, meaning the final velocity is equal to 0 m/s.
What is the momentum ?
Momentum is a physics concept that describes the motion of an object in terms of its mass and velocity. It is a measure of an object's inertia, or its resistance to changes in its motion. Momentum is a vector quantity, meaning it has both a magnitude (or size) and a direction. The magnitude of an object's momentum is equal to its mass multiplied by its velocity. Momentum is conserved, meaning it can neither be created nor destroyed, only transferred from one object to another. This property is important in many aspects of physics, including collisions, explosions, and the motion of planets. Momentum is also related to force, as a force applied to an object causes its momentum to change.
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what is the amplitude of the wave? express your answer to two significant figures and include the appropriate units.
The particle's maximum displacement from its mean position is measured by its amplitude, which in the graph equals 6 cm. The wavelength is 1.20 nm, and the frequency is 1.67 hz.
A periodic wave's wavelength, or the distance over which the wave's shape repeats, is its spatial period. It is the separation between adjacent spots on a wave that correspond to the same phase. Displacement refers to the idea that something has moved or been shifted. The term "displacement" refers to a shift in an object's position. The following equation serves as a mathematical definition of it: is used to describe the final position's value.
f = 1/T f = 1/0.6 f = 1.67 mHz is the frequency.
Wavelength and frequency are combined to form the wave's speed.
v = f (lamda) lamda = v/f
lamda = v/f
lamda = 2/1.67
lamda = 1.20m
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Arthur throws a 0.15-kg rubber ball onto the floor. the ball's speed just before impact is 8.5 m/s, and just after is 6.5 m/s. if down is considered the negative direction, the ball's change in momentum is ________ kg*m/s.
The ball's change in momentum is -1.0 kg*m/s.
What is momentum?
Momentum is the rate of change of an object's velocity. It is calculated by multiplying the object's mass by its velocity. Momentum is a vector quantity, meaning it has both magnitude (size) and direction.
To calculate this, we use the momentum formula, which is p = m*v, where p is momentum, m is mass, and v is velocity.
We can calculate the ball's initial momentum by plugging the mass and velocity into the formula:
p = m*v
p = (0.15 kg)*(8.5 m/s)
p = 1.275 kg*m/s
We can calculate the ball's final momentum by plugging the mass and velocity into the formula:
p = m*v
p = (0.15 kg)*(6.5 m/s)
p = 0.975 kg*m/s
The ball's change in momentum is equal to its initial momentum minus its final momentum:
Δp = p1 - p2
Δp = (1.275 kg*m/s) - (0.975 kg*m/s)
Δp = -1.0 kg*m/s
Therefore, The ball's change in momentum is -1.0 kg*m/s.
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