With no magnification, the number of grains per square meter is 2.84 x 10^7.
For an ASTM grain size number of 8.8, we can use the following equations to calculate the number of grains per square meter:
N = (2^(n-1)) * 10^4 / A
where N is the number of grains per square meter, n is the ASTM grain size number, and A is the area per grain at the specified magnification.
a) At a magnification of 100:
The area per grain at 100x magnification is 1.56 * 10^-8 square meters. Substituting n = 8.8 and A = 1.56 * 10^-8 into the equation, we get:
N = (2^(8.8-1)) * 10^4 / 1.56 * 10^-8
N = 1.84 * 10^10 grains/m^2
Therefore, at 100x magnification, the number of grains per square meter is 1.84 x 10^10.
b) With no magnification:
Without magnification, the area per grain is much larger. The ASTM standard specifies an area per grain of 1 mm^2, which is 10^-6 square meters. Substituting n = 8.8 and A = 10^-6 into the equation, we get:
N = (2^(8.8-1)) * 10^4 / 10^-6
N = 2.84 * 10^07 grains/m^2
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A ball tossed vertically upward from the ground next to a building passes the bottom of a window 1.7 s after being tossed and passes the top of the window 0.30 s
later. The window is 2.0 m high from top to bottom. What was the ball's initial velocity? How far is the bottom of the window from the launch position? How high does the ball rise above the launch position?
The initial velocity of the ball is v₀ = (2*2.0)/0.30 = 13.3 m/s. and the height of the ball above the launch position is h = (13.3*1.7) - (0.5*9.81*(1.7)²) = 15.1 m.
What is initial velocity?Initial velocity is the speed and direction of an object at the start of its motion. It is usually designated by vector notation, with the direction of motion indicated by an arrow.
The initial velocity of the ball can be calculated using the equation v₀ = (2h)/t, where h is the height of the window (2.0 m) and t is the time it took for the ball to reach the top of the window (0.30 s).
Thus, the initial velocity of the ball is v₀ = (2*2.0)/0.30 = 13.3 m/s.
The bottom of the window is 1.7 m above the launch position.
The height of the ball above the launch position can be calculated using the equation h = v₀t - 0.5gt².
Here, v₀ is the initial velocity (13.3 m/s),
t is the time it took for the ball to pass the bottom of the window (1.7 s),
and g is the acceleration due to gravity (9.81 m/s²).
Thus, the height of the ball above the launch position is h = (13.3*1.7) - (0.5*9.81*(1.7)²) = 15.1 m.
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When is vertical velocity zero? Select all the apply
1. when an object changes direction.
2.the moment you kick a football in the air.
3. vertical velocity is zero initially when an object is dropped from a window.
4. the moment a ball rolls off a table.
5. the moment you throw a ball in the air.
Answer:
3
Explanation:
When the projectile reaches a vertical velocity of zero, this is the maximum height of the projectile and then gravity will take over and accelerate the object downward. The horizontal displacement of the projectile is called the range of the projectile, and depends on the initial velocity of the object.
Newton's universal law of gravitation states that response area objects attract each other with a force response area proportional to the product of their masses and response area proportional to the square of the distance between their centers. When considering objects on the surface of the earth, the force is directly proportional to the product of the mass of the object and the response area due to response area at the earth's surface. Since the earth is response area than any object under consideration, the object is drawn response area the earth.
Newton's Law of Universal Gravitation says that every particle in the cosmos attracts every other particle with a force directly equal to the product of their masses and inversely proportional to the square of their distance.
To detect the gravitational force of attraction between any two objects, at least one of them on Earth must have an exceptionally massive mass. We cannot detect such forces because no object on Earth has an enormously big mass.
Newton's universal law of gravitation states that all objects attract each other with a force (i) away from directly proportional to the product of their masses and (ii) gravity proportional to the square of the distance between their centers. When considering objects on the surface of the Earth, the force is (iii) directly proportional to the product of the mass of the object and the (iv) acceleration due to (v) smaller at the Earth's surface. Since the Earth is (vi) larger than any object under consideration, the object is drawn (vii) towards the Earth.
The two items in a room do not move towards one other since the gravitational force of attraction between them is extremely minimal due to their modest masses. According to the universal law of gravity, every object exerts a gravitational force on every other thing. The gravitational force is directly proportional to the product of masses and inversely proportional to the square of their distances, according to the universal law of gravitation.
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Complete Question:
Fill in the blanks with the appropriate option:
Newton's universal law of gravitation states that all objects attract each other with a force (i) _____ proportional to the product of their masses and (ii) ____ proportional to the square of the distance between their centers. When considering objects on the surface of the Earth, the force is (iii) _____ proportional to the product of the mass of the object and the (iv) ____ due to (v) _____ at the Earth's surface. Since the Earth is (vi) ____ than any object under consideration, the object is drawn (vii) ______ the Earth.
Options:
acceleration, away from directly, directly, gravity, inversely, larger, smaller, some, toward.
What are the magnitude Δ and angle of the change in velocity if the initial velocity is 65.0 m/s south and the final velocity is 20.0 m/s west? Let the angle be measured relative to the east direction (e.g., =90∘ means Δ⃗ points north, =180∘ means Δ⃗ points west, etc.).
Answer:
∆ = 68.0∠ = 107.1°Explanation:
You want the magnitude and direction of the change in velocity from 65.0 m/s south to 20.0 m/s west.
ChangeThe change in velocity can be represented by a vector from the initial velocity to the final velocity as shown in the attachment. The magnitude and direction of it can be found using the usual tools for solving triangles.
MagnitudeThe magnitude of the change is the hypotenuse of a right triangle with legs 20 and 65. Its value is ...
∆ = √(20² +65²) = √4625 ≈ 68.007 . . . . m/s
The magnitude of the velocity change is ∆ = 68.0 m/s.
DirectionAs the diagram shows, the direction of the change is west of north by an angle θ that satisfies ...
tan(θ) = 20/65
θ = arctan(20/65) ≈ 17.1027°
The direction of the change measured from east is 90° +17.1° = 107.1°.
The angle of the velocity change is about 107.1°.
__
Additional comment
These calculations are handled neatly by a vector calculator, as shown in the second attachment.
(a) A charge of -275e is uniformly distributed along a circular arc of radius 3.85 cm, which subtends an angle of 37°. What is the linear charge density along the arc?
1 C/m
(b) A charge of -275e is uniformly distributed over one face of a circular disk of radius 1.85 cm. What is the surface charge density over that face?
2 C/m2
(c) A charge of -275e is uniformly distributed over the surface of a sphere of radius 1.85 cm. What is the surface charge density over that surface?
3 C/m2
(d) A charge of -275e is uniformly spread through the volume of a sphere of radius 1.85 cm. What is the volume charge density in that sphere?
4 C/m3
Uniform distribution of charge a) [tex]-1.752 * 10^(-17) C/m[/tex] b) [tex]-4.038 * 10^(-16) C/m^2[/tex] c) [tex]-6.346 * 10^(-16) C/m^2[/tex] d) [tex]-4.580 * 10^(-13) C/m^3[/tex]
(a) To find the linear charge density along the arc, we divide total charge (-275e) by arc length. Arc length is product of radius (3.85 cm) by the angle (in radians) arc subtends. Convert angle to radians:
[tex]37 degree = (37/360) * 2\pi radians = 0.6435 radians[/tex]
The length of the arc is then:
length = radius x angle = (3.85 cm) x (0.6435) ≈ 2.477 cm
The linear charge density is then:
linear charge density = charge in total / length magnitude = (-275e) / (2.477 cm)
e: elementary charge.
Using charge value:
linear charge density = [tex]-1.752 * 10^(-17) C/m[/tex]
Therefore, linear charge density along the arc is [tex]-1.752 * 10^(-17) C/m.[/tex]
(b) To find the surface charge density over the face of the circular disk, we need to divide the total charge (-275e) by area of disk. Area of face of disk is [tex]\pi[/tex] times radius squared
area =[tex]\pi * (1.85 cm)^2 = 10.78 cm^2[/tex]
The surface charge density is then:
surface charge density = total value of charge / area magnitude = [tex](-275e) / (10.78 cm^2)[/tex]
e: elementary charge.
Using charge value:
surface charge density = [tex]-4.038 * 10^(-16) C/m^2[/tex]
Surface charge density over the face of the circular disk is [tex]-4.038 * 10^(-16) C/m^2[/tex].
(c) To get surface charge density over sphere surface, we divide total charge (-275e) by sphere surface area:
surface area = [tex]4\pi * (radius)^2[/tex]
The surface charge density:
surface charge density = total charge / surface area =[tex](-275e) / [4\pi * (1.85 cm)^2][/tex]
where e is the elementary charge.
Use charge value:
surface charge density ≈ [tex]-6.346 * 10^(-16) C/m^2[/tex]
Surface charge density over sphere is[tex]-6.346 * 10^(-16) C/m^2.[/tex]
(d) To get volume charge density in the sphere, we divide the total charge (-275e) by the volume of the sphere.
volume = [tex](4/3)\pi * (radius)^3[/tex]
The volume charge density is then:
volume charge density = total charge / volume = [tex](-275e) / [(4/3)\pi * (1.85 cm)^3][/tex]
e: elementary charge
Using value of the elementary charge:
volume charge density = [tex]-4.580 * 10^(-13) C/m^3[/tex]
Therefore, the volume charge density in the sphere is [tex]-4.580 * 10^(-13) C/m^3[/tex]
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For each of the following file extensions, select the correct file format from the drop-down menu. . Avi. Rtf. Pdf. Txt.
The following file extensions are
.avi: Audio Video Interleave file format
.rtf: Rich Text Format file format
.pdf: Portable Document Format file format
.txt: Text File format
File extensions are used by computer operating systems and applications to determine which program to use to open a file and how to handle it.
A file extension is a series of characters that follow the last period in a filename and indicates the format of the file. It is a way of identifying the type of data stored in a file, such as a text document, image, audio or video file, spreadsheet, or executable program.
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QUESTION 3 Consider a block of mass 6 kg on a rough plane inclined at 25° to the horizontall A force, F of magnitude 37,173 N is applied to this block to keep it moving at a constant velocity 6 kg 25 what is the normal force
The normal force is 53.3 N.
What is the normal force on an object?We have to note that the force that is acting on the object may be a single force or a system of forces. In this case, the force that is acting on the object would have many components including the normal force.
You must note that the normal force is the force that in a direction that is opposite to the weight of the object but does have the same magnitude as the weight of the object.
Thus we can see that the normal force is obtained from;
R = mgcosθ
m = mass
g = acceleration due to gravity
θ = angle
R = 6 * 9.8 * cos 25
R = 53.3 N
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A rope of length L is clamped at both ends. Which one of thefollowing is not a possible wavelength for standing waves on thisrope?
a. L/2
a. 2L/3
c. L
d. 2L
e. 4L
If rope of length L is clamped at both ends then, 4L is not a possible wavelength for standing waves on this rope.
A string's shortest wavelength is L = λ/2. There is a node where the rope is clamped; at this point, the rope is fixed at zero and cannot travel up or down. Therefore, this is λ/2 if the rope's midsection is oscillating up and down. There are two visible loops if there is a node in the middle of the rope, which indicates that there are 2λ/2. The options are 3λ/2, 4λ/2, etc. So, aside from b, all other methods work.
You would have 2/3 of a wavelength if b were accurate. One of the nodes would have to be moving up and down as a result.
Every circle in my lovely image is a node; they appear every half-wavelength. Note that the square, which is at a wavelength of 2/3, is not a node. A standing wave cannot contain wavelengths that are divided into thirds.
Only standing waves whose length is an integral multiple of half wavelength can occur in a string that is fixed at both ends.
L = n* (λ/2)
Only in instance (e) is n = 1/2, and that is unacceptable.
(e) is the proper response.
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Sr spontaneously undergoes beta-minus decay. Write an equation for its decay reaction, including the symbol for the element into which Sr converts.
The equation for the beta-minus decay reaction of Sr-90 is:
90Sr --> 90Y + β⁻ + ν
In this reaction, Sr-90 (Strontium-90) undergoes beta-minus decay, emitting a beta particle (β⁻) and a neutrino (ν). As a result of this reaction, Sr-90 is converted into Y-90 (Yttrium-90). Beta-minus decay is a type of radioactive decay in which an electron is emitted from the nucleus, converting a neutron into a proton and thus changing the element's atomic number by one. This type of decay is common in isotopes of elements in the middle of the periodic table, such as carbon-14 and strontium-90. The result of this decay process is that the strontium-90 atom is converted into a yttrium-90 atom, which is one proton heavier than the strontium-90 atom. Energy is released as this process progresses.
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A glider of length 12.4 cm moves on an air track with
constant acceleration (Fig P2.31). A time interval of 0.628 s
elapses between the moment when its front end passes a
fixed point A along the track and the moment when its
back end passes this point. Next, a time interval of 1.39 s
elapses between the moment when the back end of the
glider passes the point A and the moment when the front
end of the glider passes a second point B farther down the
track. After that, an additional 0.431 s elapses until the
back end of the glider passes point B. (a) Find the average
speed of the glider as it passes point A. (b) Find the acceleration
of the glider. (c) Explain how you can compute the
acceleration without knowing
the distance between points A
and B.
[tex]19.7cm/s and 4.70 cm/s^2[/tex] are the average speed and acceleration of the glider.
(a) As the glider's front end crosses point A, start a timer at t=0. The instantaneous speed at t=0.314s, halfway through the time interval, is [tex]12.4cm/(0.628s)=19.7cm/s[/tex], which equals the glider's average speed for the interval between t=0 and t=0.628s.
(b) The instantaneous speed at the point [tex]t=(2.02+2.45)/2=2.23s[/tex]. is equal to [tex]12.4cm/(0.431s)=28.8cm/s[/tex], which is the average speed of the glider for the time span between [tex]0.628+1.39=2.02s[/tex] and [tex]0.628+1.39+0.431=2.45s[/tex].
Now that we are aware of the velocities at two points, we can calculate the acceleration using the formula [tex][(28.8-19.7)cm/s]/[(2.23-0.314)s]=4.70cm/s2[/tex].
(c) The average velocity over a predetermined period of time is determined using the glider's length rather than the distance between points A and B.
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A 1. 20-gram sample of a hydrated salt is heated to a constant mass of 0. 80 gram. What was the percent by mass of water contained in the original sample?.
Water has a mass of 1.20 - 0.80 = 0.40 gram.
The water percentage is (0.40 / 1.20) * 100 = 33 1/3%
Evaporation is the physical process through which water transitions from a liquid to a gaseous state and then returns to the atmosphere as steam. Water in solid form (snow or ice) can also move straight to steam, a process known as sublimation. The word must be defined in a broad sense, including sublimation, to consequences of predicting evaporation losses in a region. Solar radiation supplies the energy required for water molecules to shift states.
Calculations:
Initial mass - ultimate mass of evaporated water
Evaporated water: 1.2 g - 0.8 g
0.4 g = evaporated H20
100% 1.2 g total mass
0.4 g of H20 --> 33.33 %
The initial sample has 33.33% of its mass in water.
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Two blocks are connected by a massless rope over a massless, frictionless pulley. The mass of block 2 is 2=12.1 kg, and the coefficient of kinetic friction between block 2 and the incline is =0.200 . The angle of the incline is 29.5° . If block 2 is moving up the incline at constant speed, what is the mass 1 of block 1?
The 3.3kg is the mass 1 of block 1 .
What is mass ?
The amount of matter in a body is referred to as its mass. The kilogramme is the kilograms, which is the SI unit of mass (kg). Mass is defined as: Mass = Density/Volume.
What is speed ?
The rate of a directionally changing object's location. The SI unit of speed is created by combining the fundamental units of length and time. Meters per second (m/s) is the unit of speed in the metric system.
Therefore, The 3.3kg is the mass 1 of block 1 .
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A student is playing with a magnetic compass near a bar magnet. At a range of 10 cm, they notice that the compass needle is pulled slightly towards the magnet. What would they see if the compass was moved to 8 cm?
A. The needle would not move from its original deflection.
B. The needle would be pushed in the opposite direction.
C. The needle would be pulled more towards the magnet.
D. The needle would return closer to its normal position.
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As the boy moves the bar magnet towards the magnetic compass, the needly is pulled slightly towards the bar magnet, so if he deduct the separation to 8 cm, most probably the needle would be pulled more towards the bar magnet.
Hence, the correct choice will be : (c)
Answer: c I think
Explanation I think its c
When a local house was on fire, the firefighters were able to save most of it by dousing the house with water. What will happen when forensic scientists investigate this fire?.
Forensic scientists will investigate the fire by looking for clues as to what caused it and how it spread. They will collect evidence such as burn patterns and debris, and analyze the scene to determine the origin of the fire.
What is debris?
Debris is any loose material (solid or liquid) that is scattered or discarded, such as the remains of a wrecked or destroyed structure or object. Common examples of debris include rubble, broken glass, fallen tree branches, discarded plastic, scrap metal, and other discarded materials. Debris can also include materials that are the by-product of a process, such as the dust created by grinding or sawing. Debris can also be the result of natural disasters or human activities. Debris can be found in any environment and can cause environmental or safety hazards if left unchecked.
Therefore, Forensic scientists will investigate the fire by looking for clues as to what caused it and how it spread. They will collect evidence such as burn patterns and debris, and analyze the scene to determine the origin of the fire.
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How many g's of force will a nascar driver experience making a 80 m/s turn with a
radius of 200 meters?
3.2 g's
32 g's
2.5 g's
25 g's
3.27 g's of force will be applied to the driver during the turn.
What in science is a force?In science, the term "force" has a particular definition. At this time, it is appropriate to refer to a force as a push or a pull. There is no such thing as a power that something "contains" or "has in it." A force is exerted on one item by another.
We must employ the centripetal acceleration formula to resolve this issue:
a = v² / r
In this case, the velocity is 80 m/s and the radius is 200 meters, so:
a = (80 m/s)² / 200 m = 32 m/s²
To convert this to g's, we divide by the acceleration due to gravity:
32 m/s² / 9.8 m/s²/g = 3.27 g's (rounded to two decimal places)
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sun why it that the higher you go to the becomes cold.
The temperature drops as you go higher into the atmosphere because you are moving away from the Earth's surface, where the majority of the planet's heat is generated.
What happens when we go higher?As you move higher, the air pressure and density decrease, and there is less of the Earth's atmosphere to absorb and retain heat. This results in a lower overall temperature.
Additionally, the sun's rays become more intense at higher altitudes due to the lack of air molecules to scatter the sunlight. This can cause a heating effect, but it's usually not enough to offset the cooling effect caused by the decrease in atmospheric pressure.
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Part A- Variation in the speed of sound Sound is a longitudinal wave, and its speed depends on the medium through which it propagates. In air, sound travels at 343 m/s. In an experiment, you observo a sound with a frequency of 500 Hz and a wavelength of 6.4 m. What is the speed of sound in this differont medium? Express your answer with the appropriate units. HÅ ? Value Units Submit Request Answer Sounds vary in intensity and loudness across a very wide range, and we use the logarithmic decibel scale to quantify sound. Sort and match the following sounds with their decibel level. Place each sound in the appropriate in for its decibel level. Only one sound may be placed in each bin. Reset Help Operating a lawnmower Your clothing rusting Telephone hold music A whisper across a football field Abrary with people studying -20 dB 10 dB 30 dB 60 dB 90 dB Part D- Calculating the limits of hearing In a large perfectly quiet room, at what maximum distance could you hear a bee with a power output of 1W? Recall that the threshold of hearing is 10-12 W/m² Express your answer with the appropriate units. HA ? T Value Units Submit Request Answer
The Velocity is 4270 m/s it is equal to product of frequency and wavelength.
Given: -
Frequency(f) = 700 Hz
Wavelength(λ) = 6.1m
velocity = f x λ
velocity = 700 x 6.1
velocity = 4270 m/s
Wavelength is a fundamental concept in physics, particularly in the study of waves, which includes electromagnetic radiation, light, and sound waves. It is defined as the distance between two successive points of the same phase, such as the crest or trough of a wave. This distance is usually measured in units of meters, and it is inversely proportional to the frequency of the wave.
In electromagnetic radiation, the wavelength is an important property that determines the type of radiation, such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each type of radiation has a unique range of wavelengths that can be measured using instruments like a spectroscope or a radio antenna.
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what is life? can you explain in please
The diagram below shows three cubes of the same material and density. If the cubes all start out at 80°C, which cube will cool the most slowly?
Answer:
the cube that will slowly cool is 2
The cube 2 will cool the most slowly.
What is meant by cooling ?The removal of heat from a system is known as cooling, and it usually leads to a decrease in temperature or a change in phase.
Here,
Three cubes of same material and density are given in the diagram. They all are said to be cooling starting from 80°C.
The three cubes have different volumes.
We know that, as the volume of the cube increases, the surface area of the cube decreases accordingly. That means, the volume of a cube is inversely proportional to its surface area.
V ∝ 1/A
According to the principle of cooling, the rate of cooling is directly proportional to the surface area. That means, the rate of cooling is higher for objects with higher surface area and slower for those with lower surface area.
So, the cube 2 is having the lowest volume among the three cubes and thus the highest surface area.
Therefore, it will take more time to cool down.
Hence,
The cube 2 will cool the most slowly.
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A bowling ball with a mass of 7.0 kg strikes a pin that has a mass of 2.0 kg. The pin flies forward with a velocity of 7.0 m/s, and the ball continues forward at 4.0 m/s. What was the original velocity of the ball?
The original velocity of the ball was -4.0 m/s, which means it was moving in the opposite direction of the final velocity (4.0 m/s).
How to find the original velocity of the ball?
The original velocity of the ball can be found using the principle of conservation of momentum. The principle of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act upon it. In this case, the closed system is the ball and the pin. Before the collision, the total momentum of the system was zero (since the ball was at rest). After the collision, the momentum of the system is given by the ball's momentum plus the pin's momentum.
The momentum of an object is given by the product of its mass and velocity:
p = m * v
where:
p is the momentum of the object
m is the mass of the object
v is the velocity of the object
First, let's find the total momentum of the system after the collision:
p_total = p_ball + p_pin
p_total = (m_ball * v_ball) + (m_pin * v_pin)
p_total = (7.0 kg * v_ball) + (2.0 kg * 7.0 m/s)
Now, we'll use the principle of conservation of momentum to set the total momentum of the system before the collision equal to the total momentum of the system after the collision:
p_total_before = p_total_after
0 = p_total
0 = (7.0 kg * v_ball) + (2.0 kg * 7.0 m/s)
Solving for v_ball:
v_ball = (-2.0 kg * 7.0 m/s) / 7.0 kg
v_ball = -4.0 m/s
So, the original velocity of the ball was -4.0 m/s, which means it was moving in the opposite direction of the final velocity (4.0 m/s).
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Identify the correct sequence of events from this passage.
A. Martin Cooper invented the first cell phone.
B. AT&T discussed the concept of a wireless phone.
C. The FDA ruled that the health risks of cell phones were small.
D. Cell phone became the most common electronic device.
Answer:
The correct sequence of events is:
A. Martin Cooper invented the first cell phone.
B. AT&T discussed the concept of a wireless phone.
C. Cell phone became the most common electronic device.
D. The FDA ruled that the health risks of cell phones were small.
Using the objects around you right now as your frame of
reference, you cannot tell that the Earth is moving.
What evidence would you need to collect in order to prove
that the Earth is in motion?
EXTRA HELP
Where should you position yourself in space in order to see
the Earth spinning?
What would you use as a frame of reference?
Scientists use the movement of pendulums to provide evidence that the Earth is rotating the moon's position in space in order to see the Earth spinning
What is the evidence of Earth's movement?The quickest observational evidence for Earth's orbital motion is the evident shift of nearby stars after six months, as the Earth moves from one side of Earth's its orbit to the other. Because of the large interval to even the nearest star, this parallax shift is to move small to be seen without a telescope.
Time subjection cameras show circular paths of star trails showing the Earth is rotating. The winds on the Earth curve evince the Earth is moving. proving the Earth is rotating.
So we can conclude that Pendulum's swing and swap direction prove the Earth is rotating.
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How much energy is transferred when the potential difference is 230v and the charge is 200c?.
Answer:
Explanation: E = QV, the energy transferred by the quantity of electric charge by a potential difference of V volts.
Why is it that, relative humidity does not tell us how much water is actually in the air, but tells us how close the air is to being saturated?
The reason why relative humidity does not tell us how much water is actually in the air is because the amount of water vapor that air can hold depends on its temperature and pressure.
What is Relative humidity?
Relative humidity is a measure of the amount of water vapor in the air compared to the maximum amount of water vapor that the air can hold at a given temperature and pressure. It is expressed as a percentage and provides information about how close the air is to being saturated with water vapor.
armer air can hold more water vapor than colder air, and air at higher pressure can hold more water vapor than air at lower pressure. Therefore, the same amount of water vapor in the air can result in different relative humilities depending on the temperature and pressure.
For example, on a humid day with a relative humidity of 90%, there may be more water vapor in the air than on a dry day with a relative humidity of 30%. However, the air on the dry day is still capable of holding more water vapor before it becomes saturated. This is because the amount of water vapor that air can hold increases with temperature, so if the dry day is hotter than the humid day, the air may be able to hold more water vapor even though the relative humidity is lower.
In summary, relative humidity is a useful measure of how close the air is to being saturated with water vapor, but it does not provide information about the actual amount of water vapor in the air, which depends on the temperature and pressure.
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A light wave has a frequency of 5.4*10^14 cycles per second and a wavelength of 5.5*10^-17 meter. What is the approximate speed of the wave?
A light wave has a frequency of 5.4 x 10⁻¹⁴cycles per second and a wavelength of 5.5 x 10⁻¹⁷ meter so the speed of the wave is 29.7 x 10⁻³m/s.
How to find the speed of the wave?v=λf, or velocity = wavelength x frequency, can be used to calculate a wave's speed. The distance a wave covers in a certain amount of time, such as the number of meters it covers every second, is known as its wave speed.
The formulae of the speed of the wave are,
v=λf, or velocity = wavelength x frequency
Frequency = 5.4 x 10⁻¹⁴ hertz
Wavelength = 5.5 x 10⁻¹⁷ m
v = 5.5 x 10⁻¹⁷x 5.4 x 10⁻¹⁴
= 29.7 x 10⁻³ m/s
Therefore, the speed of the wave is 29.7 x 10⁻³m/s.
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Class work 6 1. A 1 kg wooden block is stationary on a desk tip. The coefficient of static friction for the two surfaces is 0.2. a) b) Find the normal force experienced by the block. Determine the maximum static frictional force for this situation c) What force will get the block to move? d) Calculate the kinetic frictional for if the coefficient of kinetic friction is 0.19
(a) The normal force experienced by the block is 9.8 N.
(b) The maximum static frictional force is 1.96 N.
(c) The minimum force required to move the block is 1.96 N.
(d) The kinetic friction force is 1.862 N.
What is the normal force?
The normal force experienced by the block is equal to the weight of the block and is given by:
F_normal = mg
where;
m is the mass of the block (1 kg) and g is the acceleration due to gravity (9.8 m/s^2).F_normal = 1 kg x 9.8 m/s^2 = 9.8 N
The maximum static frictional force is given by:
F_friction_max = μ_s x F_normal
where;
μ_s is the coefficient of static friction (0.2).F_friction_max = 0.2 x 9.8 N = 1.96 N
To get the block to move, a horizohntal force greater than the maximum static frictional force must be applied. The minimum force required to move the block is given by:
F_min = F_friction_max + ε
where;
ε is a small positive value to account for any slight inaccuracies.The kinetic friction force is given by:
F_friction_kinetic = μ_k x F_normal
where;
μ_k is the coefficient of kinetic friction (0.19).F_friction_kinetic = 0.19 x 9.8 N = 1.862 N
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Let E =3i^+1j^ and F =1i^−3j^.
A. Find the magnitude of E.
B. Find the magnitude of F.
C. Find the magnitude of G =E +F.
D. Find the magnitude of H =−E −2F.
The given vectors E and F are in Cartesian form. To find their magnitudes, we can use the formula:
|v| = √(vx² + vy²)
where vx and vy are the x and y components of the vector.
What is the Cartesian algebra?Cartesian algebra, also known as coordinate algebra or analytic geometry, is a branch of mathematics that deals with the use of algebraic equations to describe geometric shapes and their properties. It is named after the French philosopher and mathematician René Descartes, who developed the Cartesian coordinate system, which provides a way to describe the position of points in space using numbers.
A. Magnitude of E:
|E| = √((3i)² + (1j)²)
= √(9i² + 1j²)
= √(9 + 1)
= √(10)
Therefore, the magnitude of E is √(10).
B. Magnitude of F:
|F| = √((1i)² + (-3j)²)
= √(1 + 9)
=√(10)
Therefore, the magnitude of F is √(10).
C. Magnitude of G = E + F:
G = E + F = (3i + 1i) + (1j - 3j)
= 4i - 2j
|G| = √((4i)² + (-2j)²)
=√(16 + 4)
= √(20)
= 2√(5)
Therefore, the magnitude of G is 2√(5).
D. Magnitude of H = -E - 2F:
H = -E - 2F = (-3i - 2i) + (-1j + 6j)
= -5i + 5j
|H| = √(-5i)² + (5j)²)
= √(25 + 25)
= √(50)
= 5√(2)
Therefore, the magnitude of H is 5√(2).
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A frictionless ramp forms a 20.0° angle with the horizontal. A 5.00 kg
load rests on the ramp. Calculate the magnitude of the force that will hold
the load stationary on the ramp, and then determine the ideal mechanical
advantage of the ramp using this information.
The force of approximately 16.9 N is needed to hold the load stationary on the ramp.
What is friction?Friction is the force that prevents two solid objects from rolling or sliding over one another.
Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.
Since the ramp is frictionless, the only forces acting on the load are its weight (mg) and the normal force (N) exerted by the ramp perpendicular to the surface.
We can break the weight into two components: one parallel to the ramp (mg sin θ) and one perpendicular to the ramp (mg cos θ).
To keep the load stationary on the ramp, the force applied parallel to the ramp (call it F) must balance the component of the weight parallel to the ramp:
F = mg sin θ
Substituting the given values, we get:
F = (5.00 kg) * (9.81 [tex]m/s^2[/tex]) * sin 20.0° ≈ 16.9 N
Therefore, a force of approximately 16.9 N is needed to hold the load stationary on the ramp.
The ideal mechanical advantage (IMA) of the ramp is the ratio of the length of the ramp (L) to its height (h):
IMA = L/h
Let's say the ramp has a height of h and a base of b. Then:
h = b sin θ
L = b cos θ
Substituting the given angle, we get:
h = b sin 20.0°
L = b cos 20.0°
Dividing L by h, we get:
IMA = L/h = (b cos 20.0°) / (b sin 20.0°) = cos 20.0° / sin 20.0° ≈ 1.16
Thus, the ideal mechanical advantage of the ramp is approximately 1.16.
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A man is standing on the shore of a beach, up to his knees in water. Every 5 seconds a wave breaks on him. What is the period of the wave?.
Answer:
The period of a wave refers to the time it takes for a complete wave cycle to occur, from crest to crest or from trough to trough. In this scenario, you have specified that every 5 seconds a wave breaks on the man, so the period of the wave is 5 seconds.
Explanation:
pls mark brainlist and np
Answer:
Explanation:
= 4 Hz
As an example, a wave with a period T = 0.25 s takes ¼ of a second to complete a full vibration cycle (crest - trough - crest) at a certain location and thus performs four vibrations per second. Hence its frequency is f = 4 Hz.
When a skydiver falls which force is acting in the opposite direction to gravity?
When a skydiver falls, air resistance, or drag, is the force that acts in the opposite direction to gravity.
As the skydiver falls through the atmosphere, air molecules collide with their body, creating a force that opposes the direction of motion. The magnitude of the air resistance force depends on the speed of the skydiver, the surface area of their body, and the density of the air.
Initially, when the skydiver jumps out of the plane, the force of gravity pulls them downward, and they start accelerating towards the ground. As they gain speed, the air resistance force gradually increases until it becomes equal in magnitude to the force of gravity. At this point, the skydiver stops accelerating and falls at a constant velocity, known as the terminal velocity.
The air resistance force is proportional to the velocity of the skydiver, which means that increasing the velocity increases the air resistance force. At high velocities, the air resistance force becomes so strong that it eventually overcomes the force of gravity, allowing the skydiver to slow down and eventually land safely on the ground.
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