Answers
The scalar product of the vectors A = 3i + 4j - 5k and B = -I + j - 2k is -9.
The scalar product (also known as the dot product) of two vectors is a scalar quantity that can be calculated by multiplying the magnitudes of the two vectors and the cosine of the angle between them. The formula to calculate the scalar product of two vectors A and B is:
A.B = |A| |B| cos(theta)
To find the scalar product of two vectors we can also use the following formula:
A.B = (A.i) (B.i) + (A.j) (B.j) + (A.k) (B.k)
where A.i, A.j, A.k, B.i, B.j, B.k are the projections of vectors A and B on the i, j, and k axis respectively.
So, in this case, we have:
following A = 3i + 4j - 5k and B = -i + j - 2k
A.B = (3)(-1) + (4)(1) + (-5)(-2) = -3 + 4 - 10 = -9
Therefore, the scalar product of the vectors A = 3i + 4j - 5k and B = -I + j - 2k is -9.
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Related Questions
a ball is thrown into the air with an initial velocity of 10 m/s at an angle of 45 degrees above the horizontal, as represented above. question which of the following representations of the velocity and acceleration of the ball is true?
Answers
The horizontal component of velocity is 7.07 m/s and the vertical component is 7.07 m/s and acceleration of the ball is -9.8 m/s^2 directed downward.
How can velocity be represented?The velocity of the ball can be represented as vector with both horizontal and vertical components. The horizontal component of velocity is given by vx = v * cos(θ), where v is initial velocity and θ is angle of launch measured from the horizontal. Vertical component of velocity is given by vy = v * sin(θ), where v is the initial velocity and θ is the angle of launch measured from the horizontal.
Given, initial velocity of 10 m/s at an angle of 45 degrees above the horizontal,
Velocity:
Horizontal component of velocity is vx = 10 * cos(45) = 7.07 m/s
Vertical component of velocity is vy = 10 * sin(45) = 7.07 m/s
Acceleration:
acceleration of the ball is -g, directed downward with a magnitude of 9.8 m/s^2
Horizontal component of velocity is 7.07 m/s and the vertical component is 7.07 m/s
Acceleration of the ball is -9.8 m/s^2 directed downward.
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A 2140 kilogram railroad flatcar, which can move with negligible friction, is motionless next to a platform. A 242 kilogram sumo wrestler runs at 5.3 \text{~m/s}5.3 m/s along the platform (parallel to the track) and then jumps onto the flatcar. What is the speed of the flatcar if he then stands on it?
Answers
We use the letters M for the car's mass and m for the sumo wrestler's mass. Let the end speed of the car be v and initial velocity of a pro wrestler be v 0 >0. the speed of the flatcar if he then stands on it 1.1m/s.
How can the starting velocity be determined?How can one calculate beginning velocity Determine which of the following must be solved obtain the beginning velocity: displacement (s), final velocity (v), acceleration (a), and time (t) (u). Use u = v at if you have v, a, and t. Using u ≈ 2(s/t) — v if you have the variables s, v, and t.
(a) From mν0 = (M+m)ν we get
ν = M+mν0
= 2140kg + 242kg (242kg)(5.3m/s) = 0.54m/s .
(b) Since ν rel =ν 0 , we have
mν 0 =Mν+m(ν+ν)rel)=mν 0 +(M+m)ν ,
and obtain ν=0 for the final speed of the flatcar .
(c) Now mν 0 =Mν+m(ν−ν rel ) , which leads to
ν = m+Mm(ν 0 +ν rel)
=242kg +2140kg (242kg(5.3m/s + 5.3m/s0)) = 1.1m/s
What do starting and final velocity mean?When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it reached its highest acceleration.
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in a coal-fired electrical generating plant, coal is burned to heat water, which creates steam. the next step in this process is which of the following?
Answers
Coal-fired power plants generate electricity by burning coal in a boiler to create steam. The steam that is created enters a turbine, which spins a generator to produce electricity, under extremely high pressure. In this case, option A is correct
What type of energy results from burning coal to heat water into steam?
The hydrocarbon molecules in coal serve to store chemical energy. The burning of coal transforms this chemical energy into heat. Heat) Steam is produced by the combustion reaction and is transported through pipes at high pressures and speeds.
What is the name of the procedure for burning coal?
The process of combustion, in which heat is produced to create steam that powers turbines to produce electricity, is the most common and crucial use of coal.
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In a coal-fired electrical generating plant, coal is burned to heat water, which creates steam. the next step in this process is which of the following?
High PressureLow PressureHeatTemperatureit was wilbur who came up with the idea of adjusting the wings on a glider to capture winds and guide it
Answers
No, The engine's lack of power necessitated the usage of the concept of wing warping to generate additional lift. Wright brothers, by bending the wing and twisting the trailing edges of each wing in different directions.
The aircraft's wings resemble bird wings in many ways.
We constructed many of these toys, all of which successfully flew. Wright, Orville Over a century ago, in 1903, the goal of the flight was fulfilled for man. Wilber and Orville Wright were given the 821,393 Flying Machine patent by the US on May 22, 1906. It was a discovery that would alter the course of history.
The 1903 Wright Flyer, which Wilbur and Orville Wright developed over the course of four years, was the first successful powered aircraft. On December 17, 1903, with Orville at the controls, it made its inaugural flight over Kitty Hawk, North Carolina.
The first motorized airplane may have been created by the Wright brothers.
The correct question is:
who came up with the idea of adjusting the wings on a glider to capture winds and guide it?
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Two toy cars with different masses originally at rest are pushed apart by a spring between them. Which of the following statements would be true? Select two answers. (A) both toy cars will acquire equal but opposite momenta (B) both toy cars will acquire equal kinetic energies (C) the more massive toy car will acquire the least speed (D) the smaller toy car will experience an acceleration of the greatest magnitude
Answers
The answers are A)and B) both toy cars will acquire equal but opposite momenta and both toy cars will acquire equal kinetic energies
What is the rationale behind Newton's law?There is an equal and opposite reaction to every action, according to Newton's third law of motion. So, when a spring pushes the two toy cars apart, the force exerted on each car will be equal in magnitude but opposite in direction. Since force is equal to the rate of change of momentum, the two cars will acquire equal but opposite momenta.The kinetic energy of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass of the object and v is its speed. Since the two toy cars have different masses, they will not acquire the same kinetic energy.To learn more about newtons law refer:
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The density of a person's blood proteins is about 1.2 g/cm³. Express the density in kilograms per cubic meter.
Answers
The density of the person's blood proteins in kilograms per cubic meter is 1200kg/m³.
What is density?Density is a measure of the mass of matter contained by a unit volume.
Densities refer to the measure of relative compactness. The definition of this measure can be expressed as mass, m, in a particular volume, v.
The density of a substance can be calculated using the following formula;
ρ = m/V
ρ = density, kg/m³, or g/(cm)³m = mass, in kg or gV = volume, in m³ or (cm)³Here, ρ = density, m = mass, and v = volume
According to this question, the density of a person's blood proteins is about 1.2 g/cm³.
1 gram/cubic centimetre = 1000 kilograms/cubic metre
Therefore, 1.2g/cm³ is equivalent to 1200 kg/m³.
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a folding tray mechanism is attached to a wall as shown. the assembly has the dimensions given above. when a force of f
Answers
The internal force is -128.06N and the bending moment is -96.67N.m.
ΔDAB/tan∝= a+l/k1+k2=21+28/22+20
∝=49.39
ΔDEH
cos(90-∝)=DH/DE
sin49.3=21/DE
DE=27.65
tan∝=EI/ID
tan49.3=21/ID
ID=18
cos∝=h1+h2/BD
BD=64.53
GI=h1-ID=22-18=4
tanβ=IG/IE=4/21
β=10.7
Fx=Rxsin∝=Rycos∝-Tcos∝-196.7cos∝=0--------------i
Fy=-Rxcos∝+Rysin∝+Tsinβ-196.7sin∝=0---------------ii
and
-Tsinβ27.65/100+196.78sin∝64.53/100+68.67=0
T=3197.35N
Solving equation i and ii we find that
Rx=2774.64N
Ry=1786.66N
A=-Rxsin∝-Rycos∝+Tcosβ
=-128.06
M=-(Rxcos∝)xx+(Rysin∝)x+Tsinβ(x-27.65)
=-96.67N.m
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Complete question should be:
A folding tray mechanism is attached to a wall. Find the internal force and bending moment. When the force F=185N is applied at an angle of 15 degree.
Daria, a three-week-old infant, is resting quietly in her crib. Her eyes are open, and she is breathing regularly. She is also looking around but shows little body movement. In this scenario, Daria is in the state of _____.
Answers
If Daria's eyes are open, she is breathing regularly, and she is also looking around but shows little body movement, then she is in a state of Alert inactivity.
What is the state of Alert inactivity?Alert inactivity can be defined as the lack of response to an alert or warning due to a variety of reasons, such as being distracted, not understanding the alert, or simply ignoring it, which may be harmful.
Therefore, with this data, we can see that alert inactivity has evidential features we can distinguish in an individual.
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Answer: awakeness but close to light sleep
Explanation:
Two balls are dropped on the floor from the same height. The balls are made up of different types of rubber so that one bounces back at nearly the same height while the other does not bounce at all. Assuming both balls have the same mass, which ball experiences the greater impusle in colliding with the floor? Why?
Answers
The balloon will bounce a highest when two balls of equal weight are placed from the same location as a result of its greatest elasticity. The rubber ball is squashed or squeezed when it strikes the ground.
Explain what elasticity is.Elasticity is the capacity of a material body to regain its original dimensions and shape after being deformed by external forces. This capability is referred to as elastic behavior (or response) in a body. Hoare's rule.
What are some examples of elasticity?When anything is stretched or squeezed, it can regain its original shape thanks to its elastic properties. A rubber, for instance, can quickly restore its shape after being stretched out significantly.
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The electric potential in a region of space as a function of position x is given by the equation V(x) = αx2 + βx - γ, where α = 2V/m2, β = 7V/m, and γ = 15V. All nonelectrical forces are negligible.An electron starts at rest at x = 0 and travels to x = 20 m.Calculate the magnitude of the work done on the electron by the electric field during this process.Calculate the speed of the electron at x = 20 m.
Answers
The magnitude of the work done on the electron by the electric field is given by W = qV, hence the speed of the electron at x = 20m is v = 42 m/s.
Calculate the speed of the electron at x = 20 m?The electric potential energy at x = 0 is V(0) = 15V and the electric potential energy at x = 20 m is V(20) = 715V. Therefore, the magnitude of the work done on the electron is [tex]W = q(715-15) = q700 V.[/tex]
The speed of the electron at x = 20 m can be calculated using the equation[tex]v = √2(V(20) - V(0))/m[/tex], where m is the mass of the electron. Substituting in the values, we get[tex]v = √2(715-15)/m = √1400/m[/tex]. Therefore, the speed of the electron at [tex]x = 20 m is v = √1400/m.[/tex]
The work done on the electron by the electric field during the process is equal to the change in electric potential energy. The electric potential energy at the starting point is equal to V(0) = -15V and the electric potential energy at x = 20 m is equal to V(20) = 215V. The magnitude of the work done can then be calculated as
[tex]W = 215V - (-15V) = 230V[/tex]
The speed of the electron at x = 20 m can be calculated using the equation of motion:
[tex]v^2 = 2a(x-x_0)[/tex]
where a is the acceleration. This can be calculated from the equation of electric potential as:
[tex]a = dV/dx = 2αx + β[/tex]
Plugging in the values for x and the constants, we get a = 44V/m. Substituting this in the equation of motion, we get
[tex]v^2 = 2(44V/m)(20m-0m) = 1760V[/tex]
Therefore, the speed of the electron at[tex]x = 20m is v = 42 m/s.[/tex]
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A proton, moving with a velocity of v i
i
^
, collides elastically with another proton that is initially at rest.Assuming that the two protons have equal speeds after the collision, find
the direction of the velocity vectors after the collision.
Answers
45 degrees is the same as collision C 1, which is also the same as CO 2 C 2.
What is the direction of the velocity ?The initial velocity of mass is equal to M p, which is equal to we won, which is equal to zero. M P B one F, then. Np VF two sides C two are equivalent to sign C one. Go to sci-fi two and view what has to be seen after society one. Therefore, when we plug in the numbers, we get 0.5 M P V and 0.5 mm PB squares plus we get a square of f. So I'm a square.The third is that. Consequently, the first one used third. Now, by adding the value of, we succeeded. We went by square cause to see what does cause you to, so square root two is equal to cost me with Miss Cassie two is equal to two expensive one. We have everyone equal to that. He desired to go to one via square root, which is why. 45 degrees is the same as C 1, which is also the same as CO 2 C 2. And by using the square root, we have physical to me. The answer to component A of the question is C1, which is 45 degrees.To learn more about initial velocity refer to:
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If the boat is going upstream against a current that has a force of 250 N against the motion of the boat, find the acceleration of the boat if there is a forward force of 360 N from the fan. (Remember that the mass of the boat is 220 kg.)
Answers
The acceleration of the boat if there is a forward force of 360 N from the fan is calculated as : 0.05 m/s^2.
What is Newton's second law of motion?Newton's second law of motion states that net force acting on object is equal to mass of the object multiplied by acceleration. Net force acting on the boat is sum of the force from the fan and the force of the current against the motion of the boat.
As, Net force = ma
Given, m is the mass of the boat (220 kg)
Net force = ma = (360 N) - (250 N) = 110 N
a = Net force/m = 110 N/ 220 kg = 0.05 m/s^2
So, acceleration of the boat is 0.05 m/s^2
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A pendulum bob is released from some ini-
tial height such that the speed of the bob at
the bottom of the swing is 3.0 m/s.
The acceleration of gravity is 9.81 m/s².
What is the initial height of the bob?
Answers
A bob is the mass on the end of a pendulum found most commonly, but not exclusively, in pendulum clocks.
What is a bob on a pendulum?
A basic pendulum consists of a light, flexible, inextensible thread with a heavy but tiny item, known as a "bob," at one end. Graph: Pendulum clocks employ it. It's used to calculate the acceleration caused by gravity.
Clock pendulums are typically composed of a weight or bob attached to the bottom end of a rod, with the top linked to a pivot so it can swing, despite the fact that a pendulum's shape or any rigid item hanging on a pivot is theoretically possible.
The benefit of this design is that it places the centre of mass farthest from the pivot, nearer to the actual end of the pendulum. This reduces the length of the pendulum needed for a specific period and increases moment of inertia.
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When a right force is applied to a dresser to push it across a room, what force works in the opposite direction of the applied force? gravity normal friction tension
Answers
Friction force works in the opposite direction of the applied force. So, the correct option is (C).
What is Friction?Friction is defined as the force opposing the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are many types of friction such as dry friction which is a force that opposes the relative lateral motion of two solid surfaces in contact.
The force of friction is described as the resistance to motion that arises when two objects rub against each other, so this force always acts in the opposite direction to the motion of an object.
Thus, Friction force works in the opposite direction of the applied force. So, the correct option is (C).
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when the switch is closed, rank the bulbs in order from brightest to dimmest. select all that apply 1. a > b
Answers
a > b when the switch is closed, rank the bulbs in order from brightest to dimmest.
What factors influence bulb's brightness?The power of a lightbulb determines its brightness. Because P = I2R, brightness is proportional to current and resistance. The resistance is the same if the bulbs are similar.
They might not, however, feel the same current.
Both bulbs will have the same voltage across them as the battery when connected in parallel. In a series connection, however, the voltage is split between the two bulbs. As a result, the lights linked in parallel will glow brighter.
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A coin rests on a book. The book is tilted until the coin just starts to slide. The angle at which the coin starts to slide is 30 degree. What is the coefficient of static friction between the coin and the book?
Answers
The coefficient of static friction between the book and the coin is the tangent of the angle of inclination. Hence, the coefficient is 6.4.
What is static friction ?Friction is the resistive force acting on an object. Static friction is the opposing force acting on a stationary object. It is always negative. The coefficient of friction is the ratio of frictional force to the normal force.
Here, the angle of inclination θ = 30°
The normal force acting in the x direction of the coin = Fx = Mg Sinθ
normal fore from y direction is = Fy = Mg cosθ
Now, frictional force Fs = μ Fx = Fy
then μ cos θ = sin θ.
Then, the coefficient of static friction μ = sin θ/cos θ
μ = tan 30 = 6.4 .
Therefore, the coefficient of static friction between the book and the coin is 6.4.
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Liquid Distilled water Isopropanol Mineral oil Salt water Density (kg/m3) 1000 786 850 1025 Sinks or Floats? Sinks Sinks Sinks Floats In an experiment, a student releases an object from rest in four different liquids and observes whether it floats. The results are listed in the table. Which of the following is true about the density of the object?
Answers
The object has a density less than 1000 kg/m³ because it floats in mineral oil which has a density of 1025 kg/m³.
The density of a substance is a measure of its mass per unit volume. In the table provided, the densities of four different liquids are given, along with whether an object floats or sinks in each liquid.
Since the object floats in mineral oil, which has a density of 1025 kg/m³, it means that the density of the object must be less than that of mineral oil, or less than 1025 kg/m³.
This is because objects with a density greater than the liquid they are placed in will sink, while those with a lower density will float. Therefore, the object has a density less than 1000 kg/m³.
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scattering find the direction of the reflected and transmitted beam and probabilites of reflection and transmission
Answers
In Scattering phenomenon, can apply Snell's Law to find direction and use concept of refraction index and angle of incidence to find probabilities.
Scattering refers to the phenomenon where a beam of particles or waves encounters an obstacle and is redirected in different directions. The direction of the reflected and transmitted beams, as well as the probabilities of reflection and transmission, depend on the properties of the obstacle and the incident beam.
When a beam of particles or waves encounters an obstacle, it can be reflected, transmitted, or absorbed by the obstacle. The probability of reflection is given by the reflectivity of the obstacle, which depends on the properties of the incident beam and the obstacle. The probability of transmission is given by the transmissivity of the obstacle, which also depends on the properties of the incident beam and the obstacle.
The direction of the reflected beam is determined by the law of reflection, which states that the angle of incidence is equal to the angle of reflection. The direction of the transmitted beam depends on the refractive index of the material the obstacle is made of, and the angle of incidence.
For a beam of waves, the probability of reflection and transmission can be determined by the reflectivity and transmissivity of the obstacle, which are related to the indices of refraction of the two media and the angle of incidence. The direction of the reflected and transmitted beams can be found by applying Snell's law, which relates the angle of incidence and the angle of refraction to the indices of refraction of the two media.
In summary, the direction of the reflected and transmitted beams and the probabilities of reflection and transmission depend on the properties of the incident beam and the obstacle, and can be determined using the laws of reflection and refraction.
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Which of the following is not a part of an atom?
Electron
Coulomb
O Proton
Neutron
Answers
Answer:
Coulomb
Explanation:
The part of atom are electron, Proton and Neutron
A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ.
A) Calculate the maximum transverse velocity of the point located at x=λ/2.
Express your answer in terms of the variables v, f, A, λ, and appropriate constants. vmax =
B) Calculate the maximum transverse acceleration of the point located at x=λ/2.
Express your answer in terms of the variables v, f, A, λ, and appropriate constants. amax =
C) What is the amplitude of the motion at the point located at x=λ/2?
Express your answer in terms of the variables v, f, A, λ, and appropriate constants.
ASW = D) How much time does it take the string to go from its largest upward displacement to its largest downward displacement at the point located at x=λ/2?
Express your answer in terms of the variables v, f, A, λ, and appropriate constants. t =
Answers
B) The maximum transverse acceleration of the point located at x=λ/2 is given by amax = (2πf)^2A.
C) The amplitude of the motion at the point located at x=λ/2 is half the amplitude of the entire wave, so the amplitude at this point is A/2.
D) The time it takes for the string to go from its largest upward displacement to its largest downward displacement at the point located at x=λ/2 is given by t = 1/f.
A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. If the maximum speed of the object is 2.23 m/s, and the maximum acceleration is 5.77 m/s2, find how much time elapses between a moment of maximum speed and the next moment of maximum acceleration.
(Answer should be in seconds)
Hint: What fraction of a period is the time between the maximum speed and acceleration? How are the maximum speed and acceleration related to the period of oscillation?
Answers
The time that elapses between a moment of maximum speed and the next moment of maximum acceleration is called half-period.
The relationship between the period of oscillation, T, and the angular frequency, ω, is given by the equation:
T = 2π / ω
The angular frequency, in turn, is related to the acceleration, a, by the equation:
ω = √(a/x)
where x is the amplitude of oscillation.
Since we know the maximum acceleration, we can find the angular frequency:
ω = √(5.77 m/s^2 / x)
And since we know the angular frequency, we can find the period:
T = 2π / ω
We know that half of the period is the time that elapses between a moment of maximum speed and the next moment of maximum acceleration, so we can find the time between these two moments by dividing the period by 2:
t = T/2
Therefore, the time elapses between a moment of maximum speed and the next moment of maximum acceleration is half a period of oscillation.
calculate the magnitude of the y component of this vector if the magnitude is 15.7 and the angle theta-a is 16.0 degrees.
Answers
The magnitude of the y component of this vector if the magnitude is 15.7 and the angle theta-a is 16.0 degrees is 22.42.
What is the magnitude of vector y?|v| =(x2 + y2) is the formula to calculate the magnitude of a vector in two dimensions, where v = (x, y).
If v=a,b is the position vector, then |v|= [tex]\sqrt{}[/tex]a2+b2 will provide the magnitude. Depending on the application, the direction is equal to the angle made with the x-axis or the y-axis.
The length of a vector determines its magnitude. The letter "a" stands for the vector's magnitude.
The axis of coordinates y is parallel to x. Note: The x and y component axes are vectors in and of themselves! They have a direction and a magnitude.
[tex]\sqrt{}[/tex] |v|=a2+b2
[tex]\sqrt{}[/tex]15.[tex]7^{2}[/tex] + 16.[tex]0^{2}[/tex] = 22.41
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A satellite is following an elliptical orbit around earth. Its engines are capable of providing a one time impulse of a fixed magnitude. In order to maximize energy of satellite the impulse should be given
A Along satellite’s velocity when satellite is at perigee
B Along satellite’s velocity when satellite is at apogee
C Away from earth, when satellite is at perigee
D Away from earth, when satellite is at apogee
Answers
A satellite following an elliptical orbit around Earth will have different velocities at different points in its orbit, specifically at its perigee (the point in its orbit where it is closest to Earth) and at its apogee (the point in its orbit where it is farthest from Earth).
What to do to maximize the energy of satellite?To maximize the energy of the satellite, the impulse should be given in a specific direction.Here are the main points:A satellite in an elliptical orbit around Earth will have different velocities at its perigee and apogee.To maximize the energy of the satellite, the impulse should be given in a specific direction:Along the satellite's velocity when satellite is at perigee (Option A)This will increase the energy of the satellite and raise its orbit.It is the best option as the perigee is the closest point to earth where the gravitational potential energy is minimum thus providing the highest change in potential energy.Impulse away from Earth when the satellite is at perigee(Option C) is not the best option as it will decrease the energy of the satellite, lowering its orbit.To learn more about satellite refer:
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in a certain factory, assume that the number of workers is constant. the number of minutes n that it takes to make a single unit of a product and the number of units u of the product that are made per day satisfy the relationship u
Answers
As the number of minutes it takes to make a single unit of the product decreases, the number of units of the product that are made per day increases.
What is the relationship between the number of minutes it takes to make a single unit of a product?The number of units of the product that are made per day is inversely proportional to the number of minutes it takes to make a single unit of the product.As the number of minutes it takes to make a single unit of the product increases, the number of units of the product that are made per day decreases.Conversely, as the number of minutes it takes to make a single unit of the product decreases, the number of units of the product that are made per day increases.The constant 1440 represents the total number of minutes in a day, which is used to convert the minutes to units per day.Since the number of workers is constant, it can be assumed that the productivity of the factory is directly proportional to the number of units produced per day.The relationship between the number of minutes (n) it takes to make a single unit of a product and the number of units (u) of the product that are made per day is given as u = 1440/n.As the number of minutes it takes to make a single unit of the product increases, the number of units of the product that are made per day decreases.As the number of minutes it takes to make a single unit of the product decreases, the number of units of the product that are made per day increases.The constant 1440 represents the total number of minutes in a day, which is used to convert the minutes to units per day.The productivity of the factory is directly proportional to the number of units produced per day.To learn more about single unit of product refer:
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a fly enters through an open window and zooms around the room. in a cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m).
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In a cartesian coordinate system with three axes along three edges of room, fly changes its position from point (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m), then Displacement vector = -2.43 i + 1.2 j - 1.95 m
What is meant by displacement vector?A geometric object which encodes both displacement and direction is called displacement vector. Displacement vector from one point to another is an arrow with its tail at first point and its tip at second.
Given (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m).
Displacement vector along x axes is 1.57 - 4.00= -2.43 m
Displacement vector along y axes is 2.7 - 1.50 = 1.2 m
Displacement vector along z axis is 0.55- 2.50 = - 1.95 m
Displacement vector is -2.43 i + 1.2 j - 1.95 m.
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Question: a fly enters through an open window and zooms around the room. in a cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point (4.00 m, 1.50 m, 2.50 m) to (1.57 m, 2.7 m, 0.55 m). Find the scalar components of the flies displacement vector (in m).
What three requirements must be satisfied to initiate and sustain combustion?1. A fuel must be present2. Oxygen must be available in a big enough quality to combine with fuel3. Heat must be applied to initiate the combustion, sufficient heat must generated to sustain the reaction
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To start and maintain combustion, three conditions must be met: heat, fuel, and oxygen.
What is the straightforward meaning of combustion?a chemical interaction between different compounds, generally including oxygen, that produces heat in the kind of flames. burning coal or wood of any type to heat our home. Buses and cars utilize gasoline or diesel to operate. Your cooktop is powered by natural gas or LPG. The burning of these gases facilitates cooking.
Why does anything burn?To sum up, three elements must be present for combustion to take place: a fuel to be destroyed, a source of carbon, and a sources of heat. Combustion results in the production of exhausts and the release of heat.
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A type of force that a person or machine exerts (pushes or pulls) on an object that may cause a change in velocity of an object.
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The applied force is a type of force that a person or machine exerts (pushes or pulls) on an object that may cause a change in the velocity of an object.
What is applied force?A kind of force that a person or machine applies to an item (pushes or pulls) that could modify the object's velocity, Gravity. The force of attraction between the earth and all objects on earth caused by their masses is known as weight.
When someone pulls something, what kind of force is used?Frictional force is the name given to this kind of force. When an object's surface comes into touch with the surface of another object, it typically resists the motion of the object. Applied Force: When a person or an item exerts pressure on another thing, the object is moved as a result.
Is the kind of force produced when a physical push or pull is applied to an object?Contact forces include friction, pushing, and pulling. a tug and friction from touch. A contact force is created when two items are physically contacting and working together, for as when you throw a ball.
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5. If 20kg body falls down ward freely from 40m building, find the kinetic energy of this body when at a height of 30m above the ground?
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Answer:
The kinetic energy of an object is given as .5mv2, where m is
the mass of the object, and v is the velocity of the object. So in
this case, we can't determine the kinetic energy directly, but we
can determine the potential energy, which is given by mgh, where m
is the mass, g is the gravitaional constant, and h is the height
above the ground that the object falls from. We know that all of
the potential energy is going to be converted into kinetic energy.
So mgh = .5mv2. (20 kg)(9.8 m/s2)(30 m)= 5880J
Explanation:
The kinetic energy of an object is given as .5mv2, where m is
the mass of the object, and v is the velocity of the object. So in
this case, we can't determine the kinetic energy directly, but we
can determine the potential energy, which is given by mgh, where m
is the mass, g is the gravitaional constant, and h is the height
above the ground that the object falls from. We know that all of
the potential energy is going to be converted into kinetic energy.
So mgh = .5mv2. (20 kg)(9.8 m/s2)(30 m)= 5880J
Answer:
300joules
Explanation:
1÷2×20×30=
20×15=
If a two-body collision is not head-on, then which of the following is always true?
a. Momentum is conserved,
b. Kinetic Energy is conserved,
c. Neither a nor b is true,
d. That a is true and b is not true,
e. That b is true and a is not true.
Answers
Momentum is always conserved when two separate objects collide. Only elastic collisions preserve kinetic energy.
Momentum is never preserved when two bodies meet, correct?Momentum is conserved for any collision in an isolated system. Before and after the collision, the collection of items in the system had an equal amount of total momentum.
Which of the following summaries best describes the collision theory?According to the collision theory, for a reaction to take place, there must be interactions between different molecules. It's not necessary for every molecular collisions to result in a product. Only when the chemical reactions have energy over the threshold energy will the product develop.
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A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How much additional distance will the car move during the second second of its motion?
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Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.
In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.
The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.
A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.
Therefore, the distance traveled during the second second is 1/2 * acceleration [tex]* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a[/tex] Since the car moved 2.0 meters in the first second, it means the acceleration is[tex]2m/s^2[/tex], and the distance traveled during the second second is 1/2 * 2 = 1 meters.
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