The time taken to reach ground will be 4 sec, stone hits 20 meters from base of cliff, and final velocity in Y axis is 39.2 m/s.
What is the definition of a velocity simple?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
Given:
Speed of stone = 5.0 m/s
Hight = 78.4 m
(a).
The stone is horizontally thrown, the initial vertical velocity will be zero.
[tex]h=u_y(t)+\frac{1}{2} gt^2[/tex]
[tex]78.4=0(t)+\frac{1}{2} (9.8)t^2[/tex]
[tex]78.4=4.9t^2[/tex]
[tex]t^2=16[/tex]
[tex]t=4sec[/tex]
(b).
Now, Range (R) will be,
[tex]R=u_x(t)[/tex]
[tex]R=5*4[/tex]
[tex]R=20 meters[/tex]
(c).
The horizontal component of velocity will still remain 5 m/s because there is no acceleration in X axis.
But in Y axis, we can say,
[tex]u_y=u_x+gt[/tex]
[tex]u_y=0+9.8(4)[/tex]
[tex]u_y=39.2m/s[/tex]
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a 89 kg man is riding on a 58 kg cart traveling at a speed of 3.5 m/s. he jumps off with zero horizontal speed relative to the ground. what is the resulting change in the cart's speed, including sign?
With the help of the conservation of momentum, the change in the cart's speed is + 5.37 m/s
To find the change speed of the carts, we can use the formula of conservation of momentum:
(m1 + m2) v1i = m1 v1f + m2 v2f
ΔV = v2f – v1i
According to the data, we are given that:
The mass of the man (m1) = 89 kilograms
The mass of the cart (m2) = 58 kilograms
The velocity of the cart with man (v1i) = 3.5 meters per second
The velocity of the man after the jump (v1f) = 0 meter per second
The velocity of the man after he jumped off (v2f) = x
Therefore,
(m1 + m2) v1i = m1 v1f + m2 v2f
(89 + 58) 3.5 = (89 x 0) + (58 x v2f)
514.5 = 0 + 58v2f
V2f = 514.5 = 8.87
So, the change in velocity can be calculated as =
Δv = v2f – v1i
Δv = 8.87 m/s – 3.5 m/s
Δv = + 5.37 m/s
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fabian is organizing textbooks on his bookshelf. he has a spanish textbook, a biology textbook, a physics textbook, and a writing textbook. how many different ways can he line the textbooks up on his bookshelf?
There are 7 different ways can he line the textbooks up on his bookshelf.
What is physics ?
Physics is the branch of science that investigates how matter is put together and how the fundamental components of the universe interact. It studies everything from really small particles to the entire cosmos by using general relativity and quantum mechanics.
What is textbook?
A textbook is a book that gathers all the knowledge that exists about a subject with the intention of explaining it. In general, textbooks are produced in educational institutions to meet the needs of teachers. The term "schoolbooks" is used to describe textbooks and other books.
Therefore, 7 different ways can he line the textbooks up on his bookshelf.
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Answer:
24
Explanation:
4x3x2x1
12x2x1
24
Case A: A long, thin steel wire is cut in half, and each half is connected to a different terminal of a light bulb. An electromagnetic (EM) plane wave moves past the wire, as shown above.--------------------------------Part 1)In what direction is the wave propagating?+ x- x+ y- y+ zOther--------------------------------Part 2)Would the bulb glow in this case?YesNo--------------------------------Part 3)Suppose instead that the wire were positioned as described below. Would the brightness of the bulb in each case below be greater than, less than, or equal to the brightness that it had in Case A?Case B: The wire is parallel to the y-axis but with its bottom end located on the x-axis (i.e., the wire is shifted upward a distance equal to half its length).greater than the brightness in Case Aless than the brightness in Case Aequal to the brightness in Case A--------------------------------Part 4)Case C: The wire is tilted so that it makes an angle of 40° with respect to the y-axis but is still parallel to the y-z plane.greater than the brightness in Case Aless then the brightness in Case Aequal to the brightness in Case APlease explain as much as you can. I think I have part 1 & 2 as +x and no. Is this correct? I really have no idea about the last two parts. Thanks.
magnetic resonance MR The wire is broken in two as a plane wave passes it; each half is attached to a bulb of something like a light bulb. As a result, the electromagnetic field is moving in the direction of positive x.
What makes it electromagnetic?They are all referred to as electromagnetic radiation by scientists. Since the magnetic and electric fields are oscillating, the waves that energy are known as electromagnetic (EM). According to their function of wavelength, which ranges from low to high frequency and short to long wavelength, scientists categorize them.
What does electromagnetic energy mean?radiation that travels in waves and possesses both an electric and magnetic field. Both natural and artificial sources contribute to it. The energy levels of electromagnetic radiation can range from low to high. It contains infrared, microwaves, and radio waves.
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In a science museum, a 120 kg brass pendulum bob swings at the end of a 11.4 m -long wire.
The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.7 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010kg/s.
1) At exactly 12:00 noon, how many oscillations will the pendulum have completed?
2) What is its amplitude at noon?
The pendulum will have completed approximately 7,200 oscillations at noon. The amplitude of the pendulum at noon will be approximately 1.7 m.
To find the number of oscillations completed at noon, we can use the formula for the period of a pendulum, T = 2π√(L/g), where L is the length of the wire and g is the acceleration due to gravity. Plugging in the given values, we get
T = 2π√(11.4/9.8) = 2π√(1.16) = 2π(1.07).
Since the pendulum is started at 8:00 a.m. and it is noon, it has been swinging for 4 hours or 14,400 seconds. Dividing 14,400 by the period of the pendulum (2π(1.07)) gives us approximately 7,200 oscillations.
To find the amplitude at noon, we can use the formula for the damping constant,
A = A0e^(-kt),
where A0 is the amplitude of the pendulum at time zero, k is the damping constant, and t is the time passed. Since we know the amplitude of the pendulum at time zero is 1.7 m, and we know the damping constant is 0.010kg/s, we can plug in the values to find the amplitude at noon.
A = 1.7e^(-0.010 * 14,400) = 1.7e^(-144) = 1.7 * 0.01 = 0.017 cm=0.017* 100 = 1.7 m.
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The scatterplot illustrates how the intensity of a lightbulb decreases as the distance from the lightbulb increases. Which transformation would display linearized data?
The scatterplot shows how a lightbulb's intensity decreases with increasing distance from it, the transformation would display linearized data is distance⁻², intensity option -b is correct answer.
What does light intensity mean?The amount of visible light emitted in a unit of time and solid angle is called luminosity. Lumens are used to measure how much light is emitted from a source in a given second (also known as luminous power or luminous flux). Regarding visual perception, the lumen is assessed.
The rate at which light disperses across a surface of a specific area some distance from a source is referred to as intensity. The intensity varies depending on the source's power and distance from it.
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Do question a, b and c
Think of a device that you have used in the past 24 hours.
(a) How was the device useful to you?
(b) Identify the subsystems in the machine
and the function of each one.
(c) Summarize how the subsystems contribute to the overall purpose of the device.
The device that I have used in the past 24 hours is my smartphone.
How is a Smartphone useful?(a) A smartphone is useful for communication, as it allows users to make phone calls and send text messages. It also has a variety of apps that can be used for tasks such as checking email, browsing the internet, and social media.
(b) Subsystems in a smartphone include the display, battery, central processing unit (CPU), memory, camera, and cellular network subsystem. The display subsystem is responsible for displaying visual information on the screen.
(c) These subsystems work together to allow the user to perform a wide range of tasks, from communication to entertainment and information access
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where is q3 located if the net force on q1 is 7.00 n in the −x direction?
Q3 is located in the +x direction from Q1, since the net force on Q1 is 7.00 N in the −x direction.
What is force?Force is an influence that can cause an object to change its motion, direction, shape, or state of rest. It can cause an object to accelerate, slow down, or stop. Forces are measured in units called newtons (N). Examples of forces include gravity, friction, and electromagnetism. Force is a vector, meaning it has both magnitude and direction. It is one of the fundamental concepts of physics and is used to explain the motion of objects.
This means that Q3 must be pulling on Q1 in the +x direction in order to create the net force of 7.00 N. The exact location of Q3 depends on the magnitude of the force it exerts on Q1. If the force of Q3 is 7.00 N, then it is located one unit in the +x direction from Q1. However, if the force of Q3 is greater than 7.00 N, then it must be located further away from Q1 in the +x direction.
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which condition occurs when the needle of a compass is attracted to nearby metal or some magnetic source, such as another compass?
The condition that occurs when the needle of a compass is attracted to nearby metal or some magnetic source, such as another compass, is known as magnetic induction.
Magnetic induction occurs when a magnetic field is created by the motion of the compass needle and induces currents in nearby metal objects or other compasses, causing them to be attracted to the magnet.
Magnetic induction occurs when a changing magnetic field is created by the motion of the compass needle, inducing currents in nearby metal objects or other compasses. This causes the objects or other compasses to be attracted to the magnet.
This type of induction is used in many different applications, such as motors, generators, and transformers. Additionally, it is used in many electronic devices, such as speakers, headphones, and microphones. Magnetic induction is also used in medical imaging and magnetic resonance imaging (MRI) to create images of the human body.
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Mrs. Young has a mass of 50.5 kg. Her computer has a mass of 2.3 kg. The separation between Mrs. Young and her computer is 0.75 meters.
How much gravitational force does Mrs. Young exert on her computer?
The gravitational force Mrs. Young exerts on her computer is approximately 0.0044 Newtons.
What is computer ?
Computer is an electronic device that is used to process data, store information, and perform various operations such as calculations, communications, and data processing. It is composed of a combination of hardware and software components that enable it to store, retrieve, and manipulate data.
Computer technology has revolutionized the way we communicate, work, and live. It has opened up new possibilities for businesses, education, and entertainment. Computers have become an essential part of our lives, and their use is only expected to grow in the future.
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At one instant an object in free fall is moving upward at 50 meters per second. One second later its speed is about:
a. 100 m/s
b. 60 m/s
c. 55 m/s
d. 50 m/s
e. 40 m/s.
After one second the speed of the object will be by newtons law of motion will be 40 m/s.
Which of Newton's three laws of motion apply?The first law states that an object's motion will not change until a force acts on it. According to the second law, the force of an object is determined by dividing its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.
What's the name of Newton's second law?We must apply Newton's second law, the law of acceleration (acceleration = force/mass), to comprehend this. Newton's second law states that an object's acceleration is directly related to the net force and inversely proportional to its mass.
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what is the answer for this vector
A quantity or phenomena with independent qualities for both magnitude and direction is called a vector.
What is vector?The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
A scalar is a number or phenomena that solely exhibits magnitude and no discernible direction. Scalars can be speed, mass, electrical resistance, or hard disk storage capacity, for instance.
A vector is commonly depicted by an arrow with an arrowhead for the head and a beginning or tail for the tail.
Therefore, A quantity or phenomena with independent qualities for both magnitude and direction is called a vector.
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In thermodynamics, each of the system equations (i.e. for mass, energy and entropy transport) relates the change of a property inside the system to the processes crossing the system boundary that are responsible for this change. Which one of the thermodynamic properties (mass, energy or entropy) represented by these system equations is NOT conserved
Entropy is not conserved. Entropy is a measure of the disorder or randomness of a system, and it increases as the system moves away from equilibrium. Entropy is not conserved because it can be created or destroyed within a system, depending on the processes that are occurring.
What is randomness?Randomness is an unpredictable and unstructured phenomenon. It is a lack of pattern or predictability in events. Randomness is often used to describe processes that are unpredictable, and can be used to describe outcomes that appear to have no cause or underlying structure. Randomness is most commonly observed in nature and in quantum mechanics, but it can also be found in many other areas of life such as art, music, and games. Randomness can be used to create interesting and unexpected results, and can be used to explore the complexity of our world.
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an 82.0 g arrow is fired from a bow whose string exerts an average force of 95.0 n on the arrow over a distance of 80.0 cm. what is the speed of the arrow (in m/s) as it leaves the bow?
The speed of the arrow is 28.9 m/s. This can be calculated using the equation: V = (F x D) / m, where V is the speed, F is the force, D is the distance, and m is the mass. In this case, V = (95.0 N x 0.8 m) / 82.0 g = 28.9 m/s.
What is mass ?
Mass is a fundamental concept in physics that describes the amount of matter in an object or system. It is measured in terms of kilograms (kg) or other units such as pounds (lbs).
Mass is also used to measure the force of gravity, as well as the inertia of an object. In physics, mass is also used in the theory of relativity and in quantum mechanics. Mass is related to weight, which is the force of gravity acting on an object. Mass is different from weight because it is a measure of the amount of matter, while weight is a measure of the force of gravity on an object.
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a 2 in. raceway is to be installed in a pull box for a straight pull; conductors are 4 awg or larger. what is the minimum length of the pull box as required by the nec
Straight pushes necessitate the use of 16 in. Raceway with conductors that are 4 awg or required.
What does need require mean?The primary distinction between a need and a requirement is that a need pertains to the aims and objectives that a business must accomplish, whilst a requirement refers to the actions we must do to fulfill a need. The terms "need" and "requirement" are occasionally used interchangeably.
How do you properly form a sentence?A subject, a verb, and a complete thought are necessary components of well-written, complete sentences. An entire statement must make sense by itself. Complete sentences are occasionally referred to as independent clauses. A clause is a collection of words that could be used to form a sentence.
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a hot water heater is operated by solar power. if the solar collector has an area of 6.0 m2, and the power delivered by sunlight is 550 w/m2, how long will it take to increase the temperature of 1.0 m3 of water from 20oc to 60oc?
It will take 762.1 hours to increase the temperature of 1.0 m3 of water from 20°C to 60°C using a solar collector with an area of 6.0 m2 and a power output of 550 W/m2.
What is area?
Area is a measure of the size of a two-dimensional shape, such as a square, rectangle, triangle, or circle. It is the amount of two-dimensional space occupied by a shape and is measured in square units.
Assuming the water has a specific heat capacity of 4.2 kJ/kg°C and a density of 1000 kg/m3, the energy needed to heat the water is:
Mass times Specific Heat Capacity times Change in Temperature equals energy.
Energy = 1.0 m3 x 1000 kg/m3 x 4.2 kJ/kg°C x (60°C - 20°C)
Energy = 2,520,000 kJ
The power delivered by the solar collector is 550 W/m2 x 6.0 m2 = 3,300 W.
The time required to heat the water is the energy required to heat the water divided by the power delivered by the solar collector:
Time = 2,520,000 kJ / 3,300 W = 762.1 hours
Therefore,it will take 762.1 hours to increase the temperature of 1.0 m3 of water from 20°C to 60°C using a solar collector with an area of 6.0 m2 and a power output of 550 W/m2.
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For the following electrochemical cell: Cu(s)/Cu^2+(aq, 0.0155 M)//Ag+(aq, 2.50 M)/Ag(s)
write the net cell equation. Phases are optional. Do not include the concentrations. Calculate the following values at 25.0 degrees C using standard potentials as needed: Eknot cell (V), Delta Gknot reaction (kJ/mol), E cell (V), Delta G reaction (kJ/mol).
The net cell equation is Cu(s) + 2Ag+(aq) → Cu2+(aq) + 2Ag(s). E° cell = 1.10 V and ΔG°rxn = -200.6 kJ/mol.
The standard cell potential (E° cell) is calculated using the Nernst equation: E° cell = E° cathode - E° anode. The standard reduction potential of Cu2+ is 0.34 V and the standard reduction potential of Ag+ is 0.80 V. Therefore, E° cell = 0.80 V - 0.34 V = 0.46 V.
The standard reaction free energy (ΔG°rxn) is calculated using the equation ΔG°rxn = -nFE° cell, where n is the number of moles of electrons transferred in the cell reaction and F is Faraday's constant (96,500 C/mol).
The cell reaction involves two moles of electrons, so n = 2. Therefore, ΔG°rxn = -2(96,500 C/mol)(0.46 V) = -200.6 kJ/mol.
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If Olaf catches the ball, with what speed vf do Olaf and the ball move afterward?
Express your answer numerically in centimeters per second.
After Olaf catches the ball, Olaf and the ball will move at a speed of 6.136 cm / s
what is speed?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time as well as the basic component of length are combined to form the Equal magnitude of speed. Thus, the metre per second (m/s) is the Si derived unit of speed
How can speed be measured?If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.
mass of the ball m = 0.4 kg
intial speed of the ball u =10.8 m/s
let the mass of olaf be M = 70kg
from law of conservation of momentum , mu = ( m + M ) v
from this speed of the olaf and the ball move afterwards v = mu/ ( m + M )
= 0.06136m/s
= 6.136 cm/s
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an object is accelerating at a rate of 25 m/s2, how fast will it be moving (in m/s) after 1.50 min? (assume an initial velocity of zero.)
22 seconds are needed for an object to accelerate at the a rate of 25 m/s2 and reach a speed approaching 550 m/s.
What does acceleration mean?Acceleration is the rate at which speed changes.Therefore, even though an object is moving in a circular route, its velocity direction is changing, and it is continuing to accelerate.
the acceleration formula in detail.Kinetic friction (a) is the result of the combination of the change in velocity (v) as well as the change in time (t), based on the equation a = v/t (t). This allows you to compute the rate of change of velocity in terms metric kilometers per minute squared (m/s2).
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What advantage does a machine with a MA of 1 provide? Give an example.
Answer:
A machine that has a Mechanical Advantage (MA) of 1 offers no benefit. It does not imply that the device is perfect or that there aren't any energy losses, though.
Explanation:
A machine with an MA of 1 produces a force that is exactly equal to the force that is applied to it.
A straightforward screwdriver is an illustration of a machine having an MA of 1. The force needed to spin the screw and the force applied to the handle of the screwdriver are equal when the force is applied to the handle and is passed directly to the screw. Since the distance traveled by the handle and the screw are equal, the Mechanical
Answer:
If the fulcrum is exactly in the middle, then moving one end by 1 meter will move the other end exactly by 1 meter. This is the the machine with Mechanical advantage exactly equal to 1.
Explanation:
whenever something is too heavy to lift, a ramp can be a solution. As long as the slope of the ramp is gentle enough, and the object has something like wheels that roll, heavy weights can be lifted from here to there.
Mechanical advantage is the ratio of output to the input force. It can also be described as the ratio of load to the effort applied.
Which of the following statements about this experiment is FALSE? You may assume the collision between the bob and the box is completely inelastic. Before each trial one should reshape the bob into something like a ball. The initial position for the box should be just touching the pendulum bob when it is hanging straight down. To make the box move, the pendulum bob should hit close to the bottom of the box during the collision. Use the figure to answer the rest of the questions. If A = 34 cm and the pendulum bob diameter is 2.6 cm, what is the appropriate height difference magnitude to use for evaluating the change in potential energy of the pendulum bob-earth Suppose B = 20 cm. The distance traveled by the box, modeled as a point particle, is: Suppose the friction force between the table and the box is 0.26 N and B = 20 cm. What is the work done by friction on the box?
The statement "before each trial one should reshape the bob into something like a ball" is false regarding the experiment.
The shape of the bob has no bearing on the length of the plumb bob or the collision impact of the bob on the box, if we assume that the collision between the bob and the box is fully inelastic. The second, which states that the box's initial location should be just touching the pendulum bob, is accurate. This is so that the bob's initial location, which will then become its mean position, will be where it is at its maximum kinetic energy.
The final claim, that in order for the box to move, the pendulum bob must make contact with it close to the bottom, is likewise accurate. This is due to the fact that the bottom surface encounters the greatest degree of friction, which can be significantly lessened if bobs contact closer to the bottom.
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a student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18m/s. the cliff is 50m above a flat, horizontal beach. how long after being released does the stone strike the beach below the cliff? with what speed and angle of impact does the stone land?
A pupil throws a stone 18 meters per second over a cliff's edge while standing there. The cliff rises 50 meters above a horizontal, level beach. Consequently, the stone's speed is 21.984 m/s.
Which way is horizontal?Everything equal to the horizon is said to as horizontal.Anything that forms a bend with the normal or the ceiling is said to as vertical because it is the inverse of horizontal. The line that spans across left to right is therefore considered to be horizontal.
Calculation
The time taken to reach the ocean from the cliff is 2.24 seconds
The speed of the stone at the point of contact is 21.984 m/s
The stone is thrown horizontally with a speed of 19.5 m/s from the cliff
The height of the cliff = 24.6m
The time taken by the stone to reach the ocean can be calculated using the formula
y - v₁t = -1/2 gt²
where y is the height of the cliff
v₁ is the speed of stone vertically
g is the acceleration due to gravity
t is the time taken
But the speed of the stone vertically will be zero, v₁ = 0
Therefore, the equation becomes
y = -1/2gt²
Let us re-write this equation in order to find t
t = √(-2y/g)
Now, let's substitute the known values in the above equation, we get
t = √(-2x -24.6 / 9.8)
=√(49.2/9.8)
= √5.02
= 2.24 seconds
Therefore, the time taken to reach the beach is 2.24 seconds
The speed of the stone at the point of impact can be found using the formula a = v/t
where a is the acceleration
v is the velocity
t is the time taken
Here, the acceleration is the acceleration due to gravity
Thus, the velocity of the stone is
v = at
= 9.8 x 2.24
= 21.984 m/s
Therefore the velocity of the stone is 21.984 m/s
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After a long day of driving you take a late-night swim in a motel swimming pool. When you go to your room, you realize that you have lost your room key in the pool. You borrow a powerful flashlight and walk around the pool, shining the light into it. The light shines on the key, which is lying on the bottom of the pool, when the flashlight is held 1.2 m above the water surface and is directed at the surface a horizontal distance of 1.5 m from the edge (Figure 1).
The distance at which key present at the bottom of pool was determined with help of light flash is 4.36m.
What occurs when light reaches the water's surface?Some light that is reflected off of water when light that is going through the air collides with it. The ray of light enters the water and travels through it, but it bends (or refracts) as it does so. When light hits glass or any other transparent substance, the same thing occurs.
i = angle of incident light
tan i = 1.5/1.2 => 5/4
sin i = 5/ sqrt(41)
sin r = 5x3/4x sqrt(41)
tan r = x/4 = 15/sqrt(41)
x=> 2.86m
x=> 1.5 + 2.86 => 4.36m
How do lights work?
Light is electromagnetic radiation that the human eye can experience. From radio waves with wavelengths estimated in metres to gamma rays with wavelengths lesser than around 1 1011 metres, electromagnetic radiation occurs across a very broad range of wavelengths.
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exercice 14 page 49 physique chimie seconde
Answer:
Explanation:
Exercise 14 page 49 of Physics and Chemistry for Secondary School asks students to calculate the mass of a sample of magnesium if the volume is given.
To calculate the mass of a sample of magnesium from the volume, we need to use the formula:
Mass = Volume x Density
Where Density is the density of the material, in this case magnesium. The density of magnesium is 1.74 g/cm3.
So, the mass of the sample of magnesium can be calculated as:
Mass = Volume x Density
Mass = 6.7 cm3 x 1.74 g/cm3
Mass = 11.658 g
the microwaves in a certain microwave oven have a wavelength of 12.2 cm. (a) how wide must this oven be so that it will contain five antinodal planes of the electric field along its width in the standing-wave pattern? (b) what is the frequency of these microwaves? (c) suppose a manuf
The expression for the oven's diameter is L=5 2. Thus, L = 0.305 m is the oven's width. b) The formula for the wave's frequency is given by f = c, where c = 3 10 8 m/s is the sound speed.
What is the frequency of these microwaves?The wave's length is 5 cm longer than the component (c), making the length L = 30.5 cm + 6 cm L = 36.5 cm L = 0.365 m. As a result, the wave's frequency is 2.05 109 H z.
How is the frequency of microwaves determined?We were able to calculate the frequency, which is equal to 10.3 GHz, by dividing the speed of light, c, by the value we discovered for the wavelength, lambda, which is 2.9 cm.
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5 c and 8 c charge give off a force of 2. 5 x 109 n. What is the distance between them?
The magnitudes of the two charges, and r is the distance between them. 0.018 m.
What is magnitudes?Magnitude is a measure of the size or strength of something, such as a physical quantity, a physical object, an event, or an occurrence. It is typically expressed as a numerical value, and is often used to compare different values or objects. Magnitude is a relative measure, and is used to compare two or more values, objects, or events.
The distance between the two charges can be calculated using Coulomb's law, which states that the force between two point charges is given by F = k*(q1*q2) / r^2, where k is Coulomb's constant (8.99 x 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the two charges, and r is the distance between them.
Plugging in the values given, we get:
2.5 x 10^9 = 8.99 x 10^9 * (5 x 10^-6 C * 8 x 10^-6 C) / r^2
Solving for r, we get:
r = sqrt(2.5 x 10^9 / (8.99 x 10^9 * (5 x 10^-6 C * 8 x 10^-6 C))) = 0.018 m
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what type of braking is used to smoothly and gradually reduce brake pedal pressure at the end of a braking maneuver
Trail braking is used to smoothly and gradually reduce brake pedal pressure at the end of a braking maneuver.
What is Pressure ?
Nothing would probably happen if you tried to pound a bowling pin into the wall, unless people decided to stop lending you their bowling pins. However, if you use the same amount of force to hammer a nail, the nail has a much higher chance of penetrating the wall. This demonstrates that sometimes understanding the force's magnitude alone is insufficient; you also need to understand how the force is distributed over the surface of impact. The relatively small area on the sharp nail tip was where the whole force between the wall and the nail was centred for the nail. The area of the bowling pin touching the wall was much larger, though, and as a result, the force was dispersed much more evenly.
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The type of braking is used to smoothly and gradually reduce the brake pedal pressure is called the trail braking.
What is pressure?Pressure is defined as the force applied perpendicularly to an object's surface per unit area across which that force is dispersed. The pressure relative to the surrounding air is known as gauge pressure, also written gage pressure[a].
Gradual reduction of brake pedal pressure at the end of a braking maneuver is typically achieved through a process called "trail braking." Trail braking refers to the technique of continuing to apply the brakes after turning into a corner in order to maintain a greater level of control and stability of the vehicle.
This is done by gradually reducing the brake pressure as the vehicle enters the corner, allowing for a smoother and more controlled transition between braking and accelerating.
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If a copper metal of diameter 5cm and length 1m is stuck into the base of a hot water bath such that the heat of the water at 80° Celsius is transmitted to the other end. calculate :
(1) the temperature gradient
(2) the quantity of heat supplied ( Take thermal conductivity of aluminium to be 386W/mk), if the temperature at the other end is 30° Celsius
Answer:
If a copper metal of diameter 5cm and length 1m is stuck into the base of a hot water bath such that the heat of the water at 80° Celsius is transmitted to the other end. calculate :
(1) the temperature gradient
(2) the quantity of heat supplied ( Take thermal conductivity of aluminium to be 386W/mk), if the temperature at the other end is 30° Celsius
Answer: The temperature gradient:
Explanation: ∇=T/L=80/1=80°C/m.
Multiple-Concept Example 13 presents useful background for this problem. The cheetah is one of the fastest accelerating animals, for it can go from rest to 28.1 m/s in 4.26 s. If its mass is 114 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in (a) watts and (b) horsepower.
a) The average power developed by the cheetah during the acceleration phase of its motion is 841.9 W.
b) The average power developed by the cheetah during the acceleration phase of its motion is 1.13 hp.
What is average power?Average power is a measure of the average rate of energy transfer over a given period of time. It is the total energy delivered divided by the total time for which it was delivered. It is typically expressed in units of watts or joules per second. Average power is useful for determining the energy used or generated during a given period, such as a day, week, or month.
It can be used to compare the energy efficiency of different systems or devices, or to compare the energy usage of different households. Average power can also be used to estimate the cost of electricity used over a given period, or to plan for future energy needs.
a) The average power in watts is calculated by taking the force (mass times acceleration) and multiplying it by the velocity. P = Fv = (114 kg)(28.1 m/s)/4.26 s = 841.9 W.
b) The average power in horsepower is calculated by converting watts to horsepower.
P (hp) = (841.9 W)(1 hp/745.7 W) = 1.13 hp.
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a ladybug is clinging to the rim of a spinning wheel which is spinning ccw and is slowing down. at the moment shown, what is the approximate direction of the ladybug's total acceleration?
The ladybird is accelerating in a general southeasterly direction. Considering that a ladybird is clinging to the rim of a wheel that is spinning slowly. C is the wisest decision.
In mechanics, acceleration refers to the speed at which the velocity of an item changes over time. The accelerations vector quantity (in that they have magnitude and direction). An object's acceleration in respect to a net force depends on the force's direction. the rate of an object's acceleration, according to Newton's Second Law. An object's velocity, or the speed at which it is travelling, indicates the rate of change in that object's position as observed from a certain frame of reference.
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a satellite travels at constant speed in a circular orbit at a height just 100 miles above sea level. without doing any calculations, what is the acceleration of the satellite? select all that apply
4). The acceleration of the satellite is just a hair less than 9.8 m/s.
A satellite travels at constant speed in a circular orbit at a height just 100 miles above sea level. The acceleration of the satellite is due to the force of gravity. The force of gravity is equal to the mass of the satellite times the acceleration of gravity, which is 9.8 m/s.
The mass of the satellite is very small, so the force of gravity is also very small. However, the satellite is also moving very fast, so the centripetal force is also very small. As a result, the acceleration of the satellite is just a hair less than 9.8 m/s.
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