The refractive index of the glass is 1.16, if the thickness of the glass slab is 2.25 cm, and the diameter of the circle is 7.60 cm.
incident angle of the light,θ = 90°
Let the angle of internal refraction is θ₁
Let the refractive index of the glass slab, = μ₁
Refractive index of vacuum, μ₂ = 1
By Snell's law, μ₁sinθ₁ = μ₂sin90
Radius of the circle, R = 7.6/2 = 3.8 cm
Thickness of the slab, and radius of the circle, R, makes the right angle triangle with hypotenuse(AC). So applying the pythagorus theorem,
AC² = 2.25² + 3.8²
AC = √(2.25² + 3.8²)
AC = 4.42
So sinθ₁ = 3.8/4.42
sinθ₁ = 0.86
μ₁ × 0.86 = μ₂×sin90
μ₁ × 0.86 = 1 × 1
μ₁ = 1/0.86
μ₁ = 1.16
So the refractive index of the glass slab, μ₁ = 1.16
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A ball with topspin rotates in the opposite direction as a ball with underspin. What would be the direction of the Magnus effect
on a ball with topspin? How do you think this would affect the ball’s motion?
The ball drops quicker as a result of the topspin, which might make it more challenging for the opponent to strike the ball at the appropriate moment. Topspin may be used to produce shots that are more difficult to return because of this.
What is Topspin and Underspin?Generally, The Magnus effect is caused by the difference in air pressure on the top and bottom of a spinning object.
On a ball with a topspin, the air pressure is greater on the top of the ball than on the bottom, which creates a lifting force that causes the ball to move upward.
This can cause the ball to have more height or to curve in a specific direction, making it more difficult for the opponent to return.
The topspin also causes the ball to drop faster than it would otherwise, which can make it more difficult for the opponent to hit the ball at the right time. This makes topspin a useful tool for making shots that are harder to return.
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sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged. t or f?
The statement is true that sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged.
The photoelectric effect is the mechanism by which light may remove electrons from metallic surfaces, making them positively charged. The photoelectric effect might cause the surface of a metallic spaceship circling in sunlight to become positively charged.
Measuring the electron's energy is necessary for the photoelectric effect. Vacuum is necessary if you want to perform this with electrons. Under atmospheric conditions, electrons collide violently with gas molecules and atoms and quickly lose energy, which is completely unacceptable. Vacuum is therefore necessary.
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Is it possible for the material to let some
light lout not let others?
Answer:BY opening it and closing it quickly to make a tiny bit of it come out
Explanation:
Draw a complete pictorial representation for the following problems. Do not solve the problems. Refer to Tactics Box 1. 5 on pg 19 of your text for what is included in a complete pictorial representation. A. A highspeed train leaves the station traveling at a steady 10 m/s for the first 1 km while it is in a dense population area. It then begins to accelerate at 0. 20 m/s2 until it reaches a top speed of 110 m/s. The train continues at this speed for the rest of its trip. How long does it take the train to get 20 km (20,000m) away from the station
A graphical representation of data is a method of presenting two sets of data visually using a graph.The graph shows two entities, one on the x-axis and the other on the y-axis.
What in physics is a graphical representation? A graphical representation of data is a method of presenting two sets of data visually using a graph.The graph shows two entities, one on the x-axis and the other on the y-axis.An example of a diagram that depicts a workflow or process is a flowchart.Another definition of a flowchart is a diagrammatic depiction of an algorithm or a method for solving a problem step-by-step.The representation that comprises of images, or one of the many other types of data representations that are Pictograph is the name for a visual representation of data.Realistic and logical images are two ways that visual representations can generally be distinguished.Photos, paintings, and sketches that are realistically shown have a similar level of detail to the objects they depict in terms of features and structures.To learn more about graphical representation refer
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the velocity of waves on a string is 76 m/s. if the frequency of standing waves is 416 hz, how far apart are 2 adjacent nodes? give the answer in meters, to 3 decimal places.
The distance between 2 adjacent nodes with the speed of wave propagation on the rope is 76 m/s, and the standing wave frequency is 416 Hz is 0.09 m.
Half of the wavelength is equal to the distance between two adjacent nodes or antinodes.
Standing wave nodes: At any given moment, the displacements of the two traveling waves are always equal in magnitude and opposite in direction, resulting in the sum forming a node.
Hence,
Wavelength = velocity/frequency
λ = v/f
= 76 /416
= 0.18 m
So, the distance between 2 adjacent nodes:
½ λ
½ (0.18)
= 0.09 m
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You use a horizontal force 25 Newtons N to push a box 3 meters to the right. Find the work you did.
W=Fed
Answer:
75 J
Explanation:
You want the work done by a force of 25N over a distance of 3 m.
WorkAs your formula tells you, the work is the product of force and distance:
W = Fd
W = (25 N)(3 m) = 75 N·m
UnitsOne newton·meter is one Joule.
= 75 J
__
Additional comment
Both newtons (N) and joules (J) are derived SI units:
1 N = 1 kg·m/s²
1 J = 1 kg·m²/s² = 1 N·m
Formula for work:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]F=25N[/tex]
[tex]d=3m[/tex]
[tex]w=?[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=25\times3[/tex]
__________________________________________________________
Answer:
[tex]\fbox{w = 75 Joules}[/tex]
Which of these is one of the Milankovitch cycles?
A. changes in the length of Earth’s orbit
B. changes in the distance between Earth and the sun
C. changes in Earth’s tilt
D. changes in the time between Earth’s seasons
One of the Milankovitch cycles is the changes in the Earth's tilt.
Option C.
What is Milankovitch cycles?The Milankovitch cycles are cycles that relates the Earth motions and long-term climate change and they include the following:
The shape of Earth's orbit, known as eccentricityThe angle Earth's axis is tilted with respect to Earth's orbital plane, known as obliquity; andThe direction Earth's axis of rotation is pointed, known as precession.Thus, we can conclude that one of the Milankovitch cycles must relate to the changes in the Earth's tilt or the angle Earth's axis is tilted with respect to Earth's orbital plane, known as obliquity.
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three forces act on an object. two of the forces are at an angle of to each other and have magnitudes 25 n and 12 n. the third is perpendicular to the plane of these two forces and has magnitude 4 n. calculate the magnitude of the force that would exactly counterbalance these three forces.
To calculate the magnitude of the force that would exactly counterbalance these three forces, we need to use the principle of vector addition. This involves combining the three forces vectorially to find the net force acting on the object.
First, we need to find the resultant of the two forces that are at an angle of 90 degrees to each other. This can be done using the Pythagorean theorem:
Resultant = √(25² + 12²) = √(625 + 144) = √769 = 27.74 N
Next, we need to find the net force acting on the object by adding the third force (4 N) to the resultant of the first two forces (27.74 N).
Net force = 4 N + 27.74 N = 31.74 N
Therefore, the magnitude of the force that would exactly counterbalance these three forces is 31.74 N.
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Francisco wants to investigate how changing the shape makes the same amount of ice melt faster or slower when placed in a water bath. He creates the table shown to record data during his investigation.
Answer:
Question 1: the two controlled variables are "initial mass of ice" and "initial surface area of ice".
Questions 2: it's "mass of the water after the ice has melted" and "time for the ice to melt completely"
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They travel back and forth parallel to the path that the wave is moving
What is a Transverse wave ?A transverse wave is a motion in which every point on the wave oscillates along a route that is perpendicular to the wave's forward motion. Transverse waves include electromagnetic (such as radio and light) waves, seismic S (secondary) waves, and surface ripples on water.
In a transverse wave, the medium's particles move perpendicular to the wave's path. Peaks and valleys, referred to as crests and troughs, are features of transverse waves. The medium's particles move parallel to the wave's direction of travel during a longitudinal wave.
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A 1,500 gram dog bowl is pushed at 200 cm/s. What is the momentum in kg x m/s?
Answer:
300 kg x cm/s / 100 = 3 kg x m/s.
100 point!!!!
5. A water wave (a mechanical wave, not an electromagnetic wave!) has a frequency of 20 Hz and a wavelength of 0.1 m. Calculate the speed of this wave.
6. A sound wave (a mechanical wave, not an electromagnetic wave!) has a frequency of 1500 Hz and a speed of 343 m/s. Calculate the wavelength of this wave.
7. An ultraviolet wave from the Sun traveling at the speed of light has a wavelength of 3 × 10−8
m. Calculate the frequency of this wave.
8. 8. An infrared wave traveling at the speed of light has a wavelength of 2x10^-5 m. Calculate the frequency of this wave.
The speed of the wave is 2 m/s. The wavelength of the wave is 0.228 meters. The frequency of the waves are 1 × 10¹⁶ Hz and 1.5 × 10¹³ Hz, respectively.
What is the speed of wave?Wave speed relates to the speed of a wave to the wavelength and frequency of the wave. When the wavelength and the frequency of the wave are known to us, then this equation can be used to calculate the wave speed. The frequency of a wave is the number of waves which move in one second.
5. Speed of wave = wavelength × Frequency
Speed of wave = 20 × 0.1
Speed of wave = 2 m/s
6. Wavelength = Speed/ Frequency of wave
Wavelength = 343/ 1500
Wavelength = 0.228 meters
7. Frequency = Speed/ wavelength of the wave
Frequency = 3 × 10⁸/ 3 × 10⁻⁸
Frequency = 1 × 10¹⁶ Hz
8. Frequency = Speed of light/ Wavelength of the light wave
Frequency = 3 × 10⁸/ 2 × 10⁻⁵
Frequency = 1.5 × 10¹³ Hz
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in question 6, what stage of the truck life cycle is being presented? what other truck life cycle stages might be important to consider?
The truck life cycle from conception through obsolescence is referred to as the life cycle of a vehicle. Research and development are the first steps in the initial product development for the automobile (R&D).
It ends with the removal of the product from sale (discontinued). Utilizing this process allows for the retention and growth phases of the employee lifespan. Employee retention is aided and opportunities for career progression are presented by a great onboarding experience. The new hire should be introduced to the appropriate departments and coworkers. Your business begins to carve out a distinct position in the market during the growth phase of the business life cycle. Your customers and your business strategy begin to gain traction.
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a small wooden cylinder drops down onto the water surface. what's the resulting motion on the surface of water
A small wooden cylinder drops down onto the water surface. The resulting motion on the surface of water splash, then start to sink, displacing a volume of water equal to its own volume.
What do you mean by motion?In physics, motion refers to the change of position of an object with respect to its surroundings over time. If an object's location varies in relation to a reference point, it is said to be in motion.
There are various types of motion, including:
Circular motion: This is motion in a circular path. An example of this is a wheel spinning on an axle.
Periodic motion: This is motion that repeats itself in equal intervals of time. An example of this is a swing that goes back and forth.
Random motion: This is motion that is unpredictable and does not follow a regular pattern. An example of this is the motion of a molecule in a gas.
Relative motion: This is motion that is described as the movement of an object with respect to another object.
All of these types of motion have different characteristics and can be described and analyzed mathematically using laws of motion and other principles of physics.
When a small wooden cylinder drops onto the surface of water, it will initially create a splash as it impacts the surface. The splash will create a disturbance in the water surface, causing ripples to spread outwards from the point of impact.
The wooden cylinder will then start to sink, displacing a volume of water equal to its own volume. As the cylinder sinks, it will continue to create ripples on the surface of the water, with the amplitude of the ripples decreasing as the distance from the point of impact increases.
Once the wooden cylinder sinks to the bottom, the motion on the surface of the water will cease and the ripples will dissipate.
It's worth noting that this motion on the surface of the water will depend on the factors such as the size, shape, density, and velocity of the wooden cylinder, and on the viscosity and surface tension of the water.
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Which type of force is most sensitive to distance. Select one: a. gravitational force b. electrical force c. strong nuclear force d. Jedi's force.
From the given options electrical force is most sensitive to the distance.
In electrostatics, the electrical force between two charged particles is inversely proportional to the distance of separation between the two particles. By Increasing the separation distance between particles, the force of attraction or repulsion between the particles can be decreased. And by decreasing the separation distance between particles, the force of attraction or repulsion between the particles can be increased.
As the distance between two charge particles are of atomic level, or we can say very small, as compared to the gravitational force or other force, so we can say that electrical forces are extremely sensitive to distance. A small change in the distance between the charged particles can cause major changes in the force between them.
Hence the correct option is B.
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The angle of incidence of a wave is always equal to the angle of
Answer:
The angle of incidence of a wave is always equal to the angle of reflection.
Explanation:
1. The angle of incidence is the angle made by the incident ray with the surface and the line perpendicular to the surface.
2. The angle of reflection is the angle between the reflected ray and the perpendicular to the surface.
3. A wave is an energetic disturbance in a medium without any movement of particles.
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at a rock concert, the sound intensity 1.0 m in front of the bank of loudspeakers is 0.10 w/m2. a fan is 30 m from the loudspeakers. her eardrums have a diameter of 8.4 mm.
By taking the product of intensity and area, the energy is transferred to each ear drum. The energy reached per second is ∅= tan⁻¹[tex]({\frac{FX}{FC})[/tex]
Sound energy :
The energy transferred to each eardrum in 1 second is related to the sound intensity and the area of the eardrum. At a distance of 30 m from the loudspeakers, the sound intensity is 0.0011 W/m² as we calculated before.
The area of an eardrum with a diameter of 8.4 mm is:
A = (π/4) × (8.4 mm/2)² = 21.5 mm²
The energy transferred to each eardrum in 1 second is:
E = I × A × t = (0.0011 W/m²) × (21.5 mm²) × (1 s)
= 0.023 J/ear
So the energy transferred to each eardrum in 1 second is 0.023 J.
What is Energy?Energy is the ability to do work. It can take many forms, such as thermal energy, kinetic energy, potential energy, chemical energy, and more. Energy can be converted from one form to another, but the total amount of energy in a closed system remains constant (the law of conservation of energy). The unit of energy is the joule (J).
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determine whether the following statements are true or false with appropriate justification (a) there are neither mass nor energy interactions for a closed system. (b) volume of a closed system cannot change. (c) composition of a closed system can change. (d) there are neither mass nor energy interactions for an open system
The options are (a) False (b) True (c) False (d) False for closed system.
A system that interacts with the outside world is an open system. Depending on the field that defines the term, these interactions can involve the transfer of information, energy, or materials into or out of the system border. A closed system is a naturally occurring physical system that forbids the movement of matter into or out of the system; nevertheless, the movement of energy is permitted in situations involving physics, chemistry, or engineering. A thermos can be thought of as a closed system as only energy can enter or exit it, but no matter can because it won't spill. In thermodynamics, open systems enable both matter and energy to enter and exit.
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Howard's sweet ride can accelerate from zero to 320 km/h [forward] in 12. 6 s and has a recorded
top speed of 411 km/h. What is its acceleration in m/s??
With a top speed of 411 km/h, Howard's sweet ride can accelerate from 0 to 320 km/h in just 12.6 seconds. It acceleration at 32,683.333 m/s2, in m/s.
To find the acceleration of Howard's sweet ride, we can use the equation:
Acceleration = (final velocity - initial velocity) / time
Given the final velocity as 411 km/h = 411,000 m/h and initial velocity as 0 m/s and time of acceleration as 12.6 seconds.
Acceleration = (411,000 m/h - 0 m/s) / (12.6 s) = 32,683.333 m/s^2
So the acceleration of Howard's sweet ride is 32,683.333 m/s^2.
It is worth noting that the units must be consistent, it is better to convert km/h to m/s before calculating the acceleration, to get the accurate result.
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A kettle states that it is 60% efficient. If it also had a total of 400J input, what would the useful energy transfer to the water be?
figure 1 shows the kinetic energy as a function of time for a 2kg object that is released from rest and falls toward earth’s surface. figure 2 shows the kinetic energy as a function of time for a 5kg object that is released from rest and falls toward earth’s surface. both objects are released simultaneously from the same height. how much does the gravitational potential energy of the object-object-earth system change from 0s to 10s ?
U=GM m /r is the formula for the potential energy of a system that includes the Earth and an object orbiting the planet.
How much does the gravitational potential energy ?U=GM m /r is the formula for the potential energy of a system that includes the Earth and an object orbiting the planet.
G stands for gravity constant.
The Earth's mass is M.
m is the object's mass.
r is the separation between the item and the center of the Earth.
Here it is:
M = 5.98-10(24) kg, where m = 102 kg is the object's mass.
The object's distance from the center of the Earth is given by the formula r = 2R.
is the radius of the Earth
when substituting
U = -3.19 - 10 (9) J
The object's combined potential and kinetic energies make up its total mechanical energy:
where
the mechanical energy is E.
The potential energy is U.
K stands for kinetic energy.
E = U +K
E = 0 in this case because we want the item to have no energy, which results in kinetic energy of K = -U = 3.19- 10 (9) J.
The object's kinetic energy can be represented as where m = 102 kg is its mass and v is its speed.
And solving for v, we find:
r = 7909 m/s
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a force of 40 n is required to start a 5 kg box moving across a horizontal concrete floor. (a) what is the coefficient of static friction? (b) if the 40 n force continues and the box accelerates at 0.70 m/s2, what is the coefficient of kinetic friction?
The coefficient of kinetic friction for that box is 0.745. You can determine from Newton second law.
How to find coefficient of kinetic friction for that box?As per data given:
box mass(M)= 5 kg = 5
Force required F = 40 N
First, assume μs and μk as the coefficient of static and kinetic friction. Normal reaction on the box due to the floor is given by:
N = M x g= 5 x 9.8 = 49 N
Force of static friction (fs) = μs x N = 49 x μs N
To make the box move, minimum force need has to higher then static frictional force, therefore:
fs = F = 40 N
μs x 49 = 40
μs = 0.816
Since acceleration of the box(a) = 0.7 m/s² then kinetic friction acting for the box :
force k = μk x N
force k = 49 × μk N
As per data given:
box mass(M)= 5 kg = 5
Force required F = 40 N
First, assume μs and μk as the coefficient of static and kinetic friction. Normal reaction on the box due to the floor is given by:
N = M x g= 5 x 9.8 = 49 N
Force of static friction (fs) = μs x N = 49 x μs N
To make the box move, minimum force need has to higher then static frictional force, therefore:
fs = F = 40 N
μs x 49 = 40
μs = 0.816
Since acceleration of the box(a) = 0.7 m/s² then kinetic friction acting for the box :
force k = μk x N
force k = 49 × μk N
Based on Newton's second law, we can determine μk
F − force k = M x a
40 − 49 x μk = 5 x 0.7
μk = 0.745
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The image is labelled as: a. crest b. wavelength c. amplitude d. through
What is wavelength?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as the wavelength. This length is typically specified in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm). The distance between two successive crests or troughs of a wave is defined as its wavelength. It is measured in the wave's direction. The Greek letter lambda () is commonly used to represent wavelength. The term wavelength is also applied to modulated waves, as well as their sinusoidal envelopes or waves formed by the interference of several sinusoids.
Here,
The image has the following labels: a. crest b. wavelength c. amplitude d. through
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a detector is exposed to a monochromatic source of ra- diation for 40 ms and indicates that the power level is 10 w. if 109 photons are incident on the detector in this time, what is the frequency of the radiation? what type of electromagnetic radiation is this?
if throughout this period 109 photons impact on the detector. The radiation has a frequency of 2.5*1014 Hz. Gamma radiation is this kind of electromagnetic radiation.
The equation: may be used to determine the radiation's frequency.
Frequency equals the sum of the photons (time)
The frequency in this instance is:
109 photons divided by 40 x 10-3 seconds equals 2.725 x 1011 Hz as the frequency.
Due to the extremely high frequency, it is most likely gamma rays, a form of electromagnetic radiation. Gamma rays, which are often created by the decay of radioactive materials or nuclear processes, contain the greatest energy and the shortest wavelength of all known kinds of electromagnetic radiation. They may also result from other high-energy astrophysical phenomena, such as cosmic rays.
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if you measured the weight of the air in a column of air that is 1 square inch in area that extends from sea level to the top of the atmosphere, how much would that column of air weigh?
Consider a "unit area" of 1 square inch. At sea level, the mass of air above the unit area (on average) would weigh 14.7 pounds. This means that the pressure applied by this air to the area of the unit would be 14.7 pounds per square inch.
What is altitude ?The height above sea level is known as altitude. Altitude causes a drop in air density. There are two causes for this: less air is forced upward at greater altitudes, and gravity is weaker the further one gets from the centre of the Earth. As a result, the air density drops at higher elevations where the air molecules can spread out more.
Mass per unit volume is density. How closely the molecules get packed together determines the density. The density increases with their proximity to one another. Because air is a gas, the molecules can either be closely packed or widely spaced.
Unless it's moving, we rarely sense the air around us. But air shares many fundamental characteristics with other matter. Air, for instance, has mass, volume, and density.
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Consider a "unit area" of 1 square inch. At sea level, the mass of air above the unit area (on average) would weigh 14.7 pounds. This means that the pressure applied by this air to the area of the unit would be 14.7 pounds per square inch.
What is altitude?The height above sea level is known as altitude. Altitude causes a drop in air density. There are two causes for this: less air is forced upward at greater altitudes, and gravity is weaker the further one gets from the centre of the Earth. As a result, the air density drops at higher elevations where the air molecules can spread out more.
Mass per unit volume is density. How closely the molecules get packed together determines the density. The density increases with their proximity to one another. Because air is a gas, the molecules can either be closely packed or widely spaced.
29.92 × Hg 1.0 atm = 101.325 kPa = 1013.25 mb
⇒ 1013.25/68.89
= 14.7 pounds per square inch
Unless it's moving, we rarely sense the air around us. But air shares many fundamental characteristics with other matter. Air, for instance, has mass, volume, and density.
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two kids sit at the ends of a teeter-totter one has a mass of 50kg and the other has a mass of 35 kg the teeter totter is 3m long and has a mass of 10kg determine the location of the center of mass of the three objects
The location of the center of mass of the three objects is 0.237 m from the pivot to the 50 kg kid side when two kids sit at the ends of a teeter-totter one has a mass of 50kg and the other has a mass of 35 kg the teeter-totter is 3m long and has a mass of 10kg.
Let x=0 be the pivot point of the teeter-totter
and a kid is sitting at x1 = -1.5 m with mass m1 = 50 kg
another kid is sitting at x2 = 1.5 m with mass m2 = 35 kg
mass of teeter-totter, m = 10 kg
Now, the center of mass = [tex]\frac{m1x1+m2x2+mx0}{m1+m2+m}[/tex]
or COM = (-1.5x50 + 1.5x35 + 0)/(50+35+10)
COM = - 22.5/95 = - 0.237 m
Therefore, the location of the center of mass of the three objects is 0.237 m from the pivot to the 50 kg kid side when two kids sit at the ends of a teeter-totter one has a mass of 50kg and the other has a mass of 35 kg the teeter-totter is 3m long and has a mass of 10kg.
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a pilot needs to begin his descent when his plane is 7.5 km above the ground. thestraight line distance from the plane directly to the airport is 200 km. what measureshould the angle of descent be so the plane reaches the airport?
The measure of the angle of descent should be 2.15° from the horizontal line of sight, if the altitude of the plane is 7.5 km above the ground.
The Altitude of the plane above the ground, h = 7.5 km
The straight line distance of the landing place from the airplane, d = 200 km
For the decent landing of the airplane, there should not be an steep angle of landing. We know tanθ = Height/base
tanθ = h/d
So the descent angle will be tan⁻¹(h/d)
So, tan⁻¹(7.5/200)
θ = 2.1475 ≈ 2.15°
So, θ = 2.15°
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a container of water is open to the atmosphere. what is the gauge pressure profile of the water against a section of the container? arrow lengths against the wall indicates pressure magnitude.
The pressure as compared to atmospheric pressure is known as gauge pressure. Gauge pressure is positive for pressures higher than atmospheric pressure. Gauge pressure is negative for pressures below atmospheric pressure.
Pg denotes gauge pressure, which is related to absolute pressure as follows: Pa is the local atmospheric pressure, and pg is equal to p - pa. Example: 32.0 psi is the tire pressure as measured by an automobile tire gauge. 14.2 psi is the atmospheric pressure in the area.
Two objects that are in contact with one another are under pressure. The pressure distribution across the entire contact area is known as the pressure profile.
This type of reading is simply known as "gauge pressure" since the majority of gauges measure pressure relative to atmospheric pressure, which serves as the zero point. However, anything that is not a complete vacuum is considered to be under some type of pressure.
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Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in series to a 12. 0-V battery, the current from the battery is 1. 57 A. When the resistors are connected in parallel to the battery, the total current from the battery is 10. 5 A. Determine the two resistances
The resistance of two resistors are R1 is and R2 is 1.4ohms and 6.2ohms respectively where R1 is smaller and R2 is larger resistance.
Given the voltage of battery (V) = 12V
Let the resistance of smaller resistor = R1
Let the resistance of larger resistor = R2
The current in circuit when connected in parallel (Is) = 1.57A
Ohms law states that V = IR where V is voltage R is resistance and I is current.
When resistors are connected in series Rs = R1 + R2
V =Is(R1 + R2)
R1 + R2 = 12/1.57 = 7.6
R1 = 7.6 - R2
When resistors are connected in parallel 1/Rp = 1/R1 + 1/R2
then Rp = R1R2/R1 + R2
The current in parallel circuit (Ip) = 10.5A
V = Ip(R1R2/R1+R2)
R1R2 = 12 x (7.6) / 10.5 = 8.68
(7.6 - R2)R2 = 8.68
R2^2-7.6R2+8.68 = 0
R2 = 6.2ohm
R1 = 7.6 - 6.2 = 1.4ohms
Hence the smaller resistance is 1.4ohms and larger resistance is 6.2ohms.
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Which statement best compares potential and kinetic energy?Objects always have more potential energy than kinetic energy.Kinetic energy increases and potential energy decreases when the velocity of an object increases.Only potential energy decreases when an object’s height increases.Objects always have more kinetic energy than potential energy.
The statement that best compares potential and kinetic energy is that Kinetic energy increases and potential energy decreases when the velocity of an object increases. That is option B.
What is kinetic energy?Kinetic energy is defined as the type of energy that is being possessed by a body that is in constant motion.
Potential energy is defined as the type of energy that is stored within a body as it remains in a steady state.
Velocity is defined as the distance covered by an object with respect to time.
Therefore, the major difference between a kinetic energy and potential energy is that Kinetic energy increases and potential energy decreases when the velocity of an object increases.
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