(a). The chair's dynamic friction factor with the floor is = 0.602.
(b). The chair's as well as the floor's kinetic friction factor is = 0.475.
What is a simple definition of velocity?The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed).
Briefing:a)Let's practice using Newton's second law. In the reference system, the x axis is perpendicular to the axis and parallel to the floor.
Y Axis
N-W = 0
N = W
X axis
F-fr = ma
The formula for the friction force is
fr = μN
The acceleration is zero where the movement starts.
Let's replace
F = μ (mg) = 0
F = μ mg
μ = F / mg
μ = 160/30 9.81
μ = 0.602
b) The formula is the same in this instance, but the friction is kinetic.
μ = F2 / mg
μ = 125/30 9.81
μ = 0.475
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What is pasteurization?
A. A method of creating vaccine invented by Pasteur
B. The use of heat to kill any microorganisms living in a substance
C. The use of radiation to sterilize substances
D. A method of speeding up fermentation
Which of the following is a cause of climate change?
A. A decrease in greenhouse gases in the atmosphere
B. Burning coal to produce electricity
C. Rising sea levels
D. All of the above
After writing Wonderful Life, Stephen Jay Gould was criticized by his follow scientists
A. Because he misinterpreted the Burgess Shale fossil data
B. Because his hypothesis was incorrect.
C. Because they thought he was arguing against natural selection.
D. Because he claimed the Burgess Shale fossils weren't real.
Answer:
1) B. The use of heat to kill any microorganisms living in a substance
2) B. Burning coal to produce electricity
3) A. Because he misinterpreted the Burgess Shale fossil data
a_____ force can cause a greater change in velocity.
Answer:
A stronger force can cause a greater change in velocity.
Explanation:
Forces affect how objects move. They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving. Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. Remember that acceleration is a change in velocity.
In this circuit, the following values apply:
What is the voltage drop across resistor R 2 in volts
Answer: [tex]8.93 V[/tex]
Explanation: By applying ohm's law, V=IR
for R2 resistance , current flowing through it is [tex]1.9[/tex] ampere,and it's value is [tex]4.7 \ohm[/tex] ohmV=1.9*4.7
=8.93 V
I want to know anwser
The wave speed of a wave is equal to its frequency multiplied by its wavelength.
What is wavelength?Wavelength is a measure of the distance between two successive peaks of a wave. It is most commonly associated with light, sound, and other forms of electromagnetic radiation. It is the distance from one peak of the wave to the next, measured in meters. Wavelength is an important factor in determining the properties of a wave, such as its frequency, amplitude, and speed. It is also used to measure the wavelength of sound, radio waves, and other forms of electromagnetic radiation.
Therefore, the wave speed of a 44 Hz wave with a wavelength of 1 m is 44 m/s. This is because frequency is the number of waves passing a certain point in a certain amount of time (measured in hertz or Hz), while wavelength is the distance between two successive wave crests (measured in meters). Thus, when multiplied, these two values give us the wave speed, which is measured in meters per second (m/s).
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The total volume occupied by two internal cable clamps, six 12AWG conductors, and single pole switch is
The total volume occupied by two internal clamps, six 12 AWG conductors and one grounding conductor, and a single-pole switch is 20.25 cu in.
When counting the number of conductors in a box a conductor running through the box is counted as conductor S?
An unbroken conductor, passing through the box without splice or termination, can be counted as one conductor if it is less than two times the minimum length required for the free conductor in 300.14. For example, two conduits are entering opposite sides of a four-inch square metal box that has a depth of 1 1/2 inches.
How many amps can 12 AWG handle?
The twelve-gauge wire is good for 20 amps, 10-gauge wire is good for 30 amps, 8-gauge is good for 40 amps, and 6-gauge is good for 55 amps, and The circuit breaker or fuse is always sized to protect the conductor [wire].
12 AWG =2.25 cu. in. ( 6 x 2.25 = 13.5)
Device( 2 x 12 AWG cu. in.)= ( 2 x 2.25 = 4.5)
Clamp ( 1 x 12 AWG cu. in.)= ( 1 x 2.25 = 2.25)
13.5 + 4.5 + 2.25 = 20.25 cu. in.
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Abbey and Mia are in the basement playing pool. On Abbey's recent shot, the cue ball was moving east at 91 cm/s when it struck the slower 8-ball moving in the same direction at 18 cm/s. The 8-ball immediately speeds up to 62 cm/s. Determine the post-collision velocity of the cue ball. (Assume all balls have the same mass.)
Answer:
I think the answer is 54 cm
6) Your classmate doesn't want to leave
physics class. You apply a force to drag
him to lunch to the right.
Answer:
Answer: I would apply a force to the right in order to push him in the direction of lunch.
Explanation:
"n 25 kg object is moving at a velocity or 10 ml. the obec has energy. Calculate it.
The energy of 25 kg object is moving at a velocity or 10 ml is 1250J.
What does a 25 kilogram object travelling at 10 m/s kinetic energy look like?KE = 1/2mv²
The mass is m = 25kg
The velocity is v = 10ms⁻¹
KE = 1/2 × 25 × 10²
⇒ KE = 1250J
Hence, Kinetic energy is 1250J
What is Kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
What is velocity?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.
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billiard ball is rolled off of a table onto the floor below in projectile motion. If the speed at which the bowling ball left the table was 12m/s, then what is the x-component of the velocity of the bowling ball at the instant before it strikes the
ground?
The components of velocity v have magnitudes of v x = v cos and v y = v sin, where v seems to be the magnitude of something like the speed and is its direction with respect to the horizontal.
What does velocity vs. speed mean?Velocity, as opposed to speed, refers to the pace and direction of the an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.
How do velocity and acceleration differ?Velocity is the rate at which displacement changes Since it consists both of magnitude and direction, velocity is a vector quantity. Since acceleration is merely the rate at which velocity changes, it too is a vector quantity.
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A bowling ball rolls 32 meters in 0.8 seconds. Find the average speed (in m/s) of the bowling ball in m/s
The average speed of the bowling ball 40 meter/second..
What is speed?
The pace at which an object's position changes in any direction is referred to as speed.
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Si unit of speed be meter/second.
Given parameters:
Distance travelled by the ball: s = 32 meter.
Time taken by the ball: t = 0.8 second.
So, average speed of the ball = distance travelled/ time taken
= 32 meter/ 0.8 second
= 40 meter/second.
Hence, the average speed of the bowling ball 40 meter/second.
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Two friends, Burt and Ernie, are standing at opposite ends of a uniform log that is floating in a lake. The log is 3.9 m long and has mass 260 kg. Burt has mass 30.0 kg and Ernie has mass 40.5 kg. Initially the log and the two friends are at rest relative to the shore. Burt then offers Ernie a cookie, and Ernie walks to Burt's end of the log to get it.
A) Relative to the shore, what distance has the log moved by the time Ernie reaches Burt? Neglect any horizontal force that the water exerts on the log and assume that neither Burt nor Ernie falls off the log.
By the time Ernie gets to Burt, the log has drifted 0.29 metres away from the coast.
Centre of mass definition ?
The location where the centre of the distribution of mass in space is located is the centre of mass for a given item or system of objects. For bodies to continue to be at rest, the centre of mass must equal zero.
It may be expressed as,
∑miΔxi=0
m=mass
x=distance
The 3.2m-long log weighs 290kg and is 3.2m long. Ernie weighs 32 kg, whereas Burt weighs 33 kg.
Ernie accepts Burt's offer of a cookie and moves to his side of the log to take it.
By the time Ernie gets to Burt, the log should have travelled x metres. Consequently, using the formula above,
33(x)+290(x)+32(x-32)=0
x=0.29m
As a result, the log has travelled 0.29 metres by the time Ernie gets to Burt.
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Raise your hand and hold it flat. Think of the space between your index finger and your middle finger as one slit, and think of the space between middle finger and ring finger as a second slit.(a) Consider the interference resulting from sending coherent visible light perpendicularly through this pair of openings. Calculate the angle between adjacent zones of constructive interference, assuming the width of your middle finger to be 2.7 cm and the wavelength of the light to be 700 nm.(b) To make the angles in the interference pattern easy to measure with a plastic protractor (e.g., for which the angle between the central maximum and the adjacent ones is 15�), you should use an electromagnetic wave with what frequency?HzHow is this wave classified on the electromagnetic spectrum?
Angle and frequency between neighboring zones for constructive interference are both 1.846 * 103⁻³ degrees and 6.44 * 10¹⁰ Hz, respectively.
What exactly is regularity and why is it significant?The quantity of oscillations that pass a given point in one unit of time, as well as the number of passes or oscillations that an object in periodic motion experiences in one unit of time Multiple electrical frequencies cannot coexist without causing device damage, hence keeping a constant electrical rate is crucial. When it comes to supplying power on a national basis, this has important ramifications.
Briefing:a). For Constructive interference;
[tex]$$\begin{aligned}& d \sin \theta=m \lambda \\& \theta=\sin ^{-1}\left(\frac{m \lambda}{d}\right)=\sin ^{-1}\left(\frac{1 \times 580 \times 10^{-9}}{0.018}\right) \\& \theta=1.846 \times 10^{-3} \text { degreees }\end{aligned}$$[/tex]
Angle between nearby constructive interference zones;
[tex]$$\Delta \theta=1.846 \times 10^{-3}-0=1.846 \times 10^{-3} \text { degrees }$$[/tex]
b). [tex]$0.018 \sin 15=1 \times \lambda$[/tex]
[tex]$\lambda=4.66 \mathrm{~mm}$[/tex]
Frequency;
[tex]$$\begin{aligned}& \mathrm{f}=\mathrm{c} / \mathrm{lambda}=\left(3^* 10^8\right) /\left(4.66^* 10^{-3}\right) \\& \mathrm{f}=6.44^* 10^{10} \mathrm{~Hz}\end{aligned}$$[/tex]
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The complete question is-
Raise your hand and hold it flat. Think of the space between your index finger and your middle finger as one slit, and think of the space between middle finger and ring finger as a second slit.
(a) Consider the interference resulting from sending coherent visible light perpendicularly through this pair of openings. Calculate the angle between adjacent zones of constructive interference, assuming the width of your middle finger to be 2.7 cm and the wavelength of the light to be 700 nm.
(b) To make the angles in the interference pattern easy to measure with a plastic protractor (e.g., for which the angle between the central maximum and the adjacent ones is 15), you should use an electromagnetic wave with what frequency?
Hz
How is this wave classified on the electromagnetic spectrum?
5. Which of the following correctly describes the above situation?
6. The final velocity of the two cars after they hit and stick together is:
In this case, the magnitude of the momentum of vehicle 2 is greater than the vehicle 1.
What is momentum?
In Newtonian mechanics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It has both a magnitude and a direction, making it a vector quantity.
The kilogramme metre per second (kg m/s), or newton-second in the International System of Units (SI), is the unit used to measure momentum.
The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Although momentum varies depending on the frame of reference, it is a conserved quantity in any inertial frame, which means that if a closed system is not impacted by outside forces.
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During take-off a 6kg model rocket is burning fuel causing its speed to increase at a
rate of 7m/s² despite experiencing a 100N drag. What is the magnitude of the net force on the rocket
The magnitude of the net force on the rocket was found to be 42N
Define magnitude ?
What is magnitude in Physics, is surely an issue of tremendous relevance in science. Magnitude often relates to the quantity or distance. In regard to the movement, we may associate magnitude with the size and speed of the item while moving.
The magnitude of a thing or a quantity is its size. Like in terms of speed, a car is driving quicker than a motorbike. In this situation, the car's speed is greater than the motorbike's. Let's now discuss what magnitude in physics means.
the magnitude of the net force was determined by the equation.
∑F= ma
=6(7m/s²)
=42 N
the force was exerted upwards.
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2KI → 2
+
2
Which chemical symbols will complete the equation for this decomposition reaction?
The chemical symbol used is 2K + 2I to complete the equation for the decomposition reaction.
What is decomposition reaction?Decomposition reaction is defined as a chemical reaction when the reactant or molecule breaks down into less complex compounds Consequently, when a single reactant splits into two or more products. Because two or more reactants are combined to create a single product in a combination reaction, they are known as the opposite of a combination reaction.
One reactant produces two or more products during a decomposition process. Iodine and potassium will be produced as potassium iodide breaks down. With two K and two I on each side, this equation is balanced. It can be described using the all-inclusive formula: AB --> A + B.
Thus, the chemical symbol used is 2K + 2I to complete the equation for the decomposition reaction.
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the maximum allowed coefficient of performance for a heat pump operating between temperatures of 2 oc and 15 o c is:
A heat pump's operating overall efficiency is just 15.88, claims the inquiry.
What is heat in reality? What is the name of heat energy?Heat energy is created by the movement of tiny atoms, ions, or atoms in solid, liquids, and gases. Overheating can be transferred of one thing to another. When two items are already at varying temperatures from one another, a movement or exchange called heat occurs. Atoms and molecules move more quickly and clash when the temperature rises, producing heat generated (also known as heat energy). The power that comes from the heated object's temperature is referred to as thermal energy.
Briefing:Maximum COP of heat pump:
COP = [tex]T_{H} /T_{H} - T_{C}[/tex]
Here, [tex]T_{H}[/tex] = 271 K and [tex]T_{C}[/tex] = 288 K
Hence, COP = 271/288-271
COP = 15.88
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What is the rotational kinetic energy (in J) of Jupiter in its orbit around the Sun? (Assume its distance from the sun to be 7.78 ✕ 108 km and its period about the sun to be 4340 days.)
The rotational kinetic energy (in J) of Jupiter in its orbit around the Sun is 1.613 × 10³⁵ J
What is rotational kinetic energy?Rotational kinetic energy is kinetic energy due to rotation about an axis.
What is the rotational kinetic energy (in J) of Jupiter in its orbit around the Sun?The rotational kinetic energy is given by K = 1/2Iω² where
I = rotational inertia of juptier around sun = MR² where M = mass of Jupiter = 1.898 × 10²⁷ kg and R = distance of jupiter from sun = 7.78 × 10⁸ km = 7.78 × 10¹¹ m, ω = angular speed of Jupiter around sun = 2π/T where T = period of Juptier around sun = 4340 days = 4340 × 24 h/day × 60 min/h × 60 s/min = 374976000 s = 3.74976 × 10⁸ sSo, We have that the rotational kinetic energy of Jupiter is
K = 1/2Iω²
K = 1/2(MR²)(2π/T)²
K = 1/2(MR²)(4π²/T²)
K = 2π²MR²/T²
Substituting the values of the variables into the equation, we have that
K = 2π²MR²/T²
K = 2π² × 1.898 × 10²⁷ kg × (7.78 × 10¹¹ m)²/(3.74976 × 10⁸ s)²
K = 2π² × 1.898 × 10²⁷ kg × 60.5284 × 10²² m²/14.0607 × 10¹⁶ s²
K = 2π² × 114.8829 × 10⁴⁹ kgm²/14.0607 × 10¹⁶ s²
K = 229.7658π² × 10⁴⁹ kgm²/14.0607 × 10¹⁶ s²
K = 16.3410π² × 10³³ kgm²/s²
K = 161.2791 × 10³³ kgm²/s²
K = 1.612791 × 10³⁵ kgm²/s²
K ≅ 1.613 × 10³⁵ J
So, the rotational kinetic energy is 1.613 × 10³⁵ J
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using radiometric dating scientists have established the age of earth to be about 4.6 billion years old. this is an example of an absolute age because the age in years has been calculated
The Earth’s age was established to be about 4.6 billion years ago using radiometric dating which is an example of an absolute age because the age in years has been calculated is true.
Scientists have been studying ancient Earth to establish an accurate timeline of its formation and the evolution of all life. They have used several types of methods to determine the ages of materials. There are two main categories by which this is done relative age dating and absolute age dating. Relative age dating refers to the study of a material and its comparison to other similar materials to establish a timeline. Absolute age dating method refers to a method of measuring how old a natural material is in years. In other words, the absolute age of an Earth material is to determine how old it actually is in years. It is sometimes called a calendar age. Using radiometric dating, scientists have established the age of Earth to be 4.6 billion years which is an example of an absolute age.
Note: The question is incomplete as it is missing options which are A) True B) False.
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Three boxes are pulled to the left by strings with negligible mass on a horizontal surface, as shown above. The masses of the boxes are m1, m2, and m3, where m3>m2>m1. Friction between the boxes and the surface is negligible. The figure below shows force diagrams for each box. A student is trying to determine the tensions in the strings connecting the boxes. If the acceleration of the system and the pulling force F are known, which of the following pairs of equations could be used to find the tensions?
m3a3=TB and m2a2=TA−TB
The two quantities agree within experimental uncertainty but not agree numerically.
There is no frictional force exerted on the puck, and the gravitational force and normal force are exerted on the puck and are equal in magnitude.
The mean value of F is: 10.52 N
The mean value of TA is: 10.6 N
So, the two quantities agree within experimental uncertainty but not agree numerically.
The puck on the table relates to a planet orbiting the sun because the force of tension is acted on the puck with its connection to the table using the string. Similarly, a planet has the force of gravity acting upon it is allowing it to orbit in its path.
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A model rocket is launched with an initial upward velocity of 125 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=125t-16
Find all values of t for which the rocket's height is 71 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
The values of time (t) = 7.20, 0.62, and the model rocket is launched with an initial upward velocity of 125 ft/s and height of h.
What is Velocity?The directional speed of an object in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
What is the calculation?height of the rocket is given as,
h = 125t - 16t²
now, when h = 71 then,
71 = 125 t - 16 t²
16 t² - 125t + 71 = 0
Using the quadratic formula, we have:
- (-125) + √ (-125)² - 4 × 16 × 71
t = ____________________
2 × 16
125 + √11081 125 - √11081
t = _________ t = _________
32 32
t = 7.20, t = 0.62
Hence, the values of time (t) = 7.20, 0.62.
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A swing has a potential energy of 150 J and a kinetic energy of 75 J at a certain spot. What is the mechanical energy of the swing?
The mechanical energy of the swing is the sum of the potential energy and the kinetic energy which is equal to 225 Joules.
What is Mechanical energy?Mechanical energy is the energy which is present either in an object which is in motion or the energy which is stored in objects by their position. Mechanical energy is the main driver of renewable energy. Many different forms of renewable energy rely directly on the mechanical energy to adequately produce enough amount of power or convert energy.
The mechanical energy of the object is the sum total of individual energies which are present in the object. The mechanical energy of an object can be represented as:
M.E. = P.E. + K.E.
M.E. = Mechanical energy,
P.E. = Potential energy,
K.E. = Kinetic energy
Therefore, the mechanical energy of the swing will be:
M.E. = 150J + 75J
M.E. = 225 Joules
Therefore, the mechanical energy of the swing is equal to 225 Joules.
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A 70 kg mountain climber dangling in a crevasse stretches a 50-m-long, 1.0-cm-diameter rope by 8.0 cm. Part A What is Young's modulus for the rope? Express your answer with the appropriate units. HAO ? Value Units
Young's modulus for the rope 5.462 × [tex]10^{9}[/tex]N/m²
Mass is 70 kg
F = mg = 70 × 9.8N
F = 686N
ΔL = 8cm
A = πr² = 0.785 ×[tex]10^{-4}[/tex]
Y = F/A l/Δl = 686 × 50 / 0.785 ×[tex]10^{-4}[/tex] × 8 × [tex]10^{-2}[/tex]
Y = 5.462 × [tex]10^{9}[/tex]N/m²
Young's modulus (displaystyle E), also known as the Young modulus or the modulus of elasticity in tension or compression (i.e., negative tension), is a mechanical characteristic that gauges the stiffness of a solid material under tensile or compressive tension when a force is applied longitudinally. Using the formula, it quantifies the relationship between axial strain and tensile/compressive stress in the linear elastic zone of a material. Axial strain is measured as the proportionate deformation of the relationship between axial strain and tensile/compressive stress. Young's modulus was first introduced by Leonhard Euler in 1727, while being named after the 19th-century British scientist Thomas Young. Giordano Riccati, an Italian physicist, conducted the first experiments in 1782 that utilized the idea of Young's modulus in its current form, 25 years before Young's work.
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72pts
What is the mechanical advantage of the wheel and axle shown below?
0.8 cm 26 cm
Answer:
Explanation:
The correct answer is A. 32.5
Mechanical advantage is the ratio of force that is input into a machine to the force output.
Mechanical advantage of a wheel and axle is calculated by dividing the radius of the wheel by that of the axle.
MA=R/r where R is the radius of the wheel and r is the radius of the axle.
Substituting for the values in the question gives:
MA=26cm/0.8cm
=32.5
A 1.55-m-tall fisherman stands at the edge of a lake, being watched by a suspicious trout who is 3.50 m from the fisherman in the horizontal direction and 45.0 cm below the surface of the water.
A. At what angle from the vertical does the fish see the top of the fisherman�s head?
The angle from the vertical does the fish see the top of the fishermans head is 42.24 degrees and can be finded out by snells law.
According to Snell’s Law when light is incident on an interface separating two media, the angles of incidence and refraction, θ1 and θ2, are related,
n1 sin(θ1) = n2 sin(θ2)
where θ1 or θ2 is the angle between the normal to the interface and the direction in which incident or refracted wave is propagating. The quantities n1 and n2 are the indices of refraction of the two media.
While the speed of light is constant in a vacuum, the speed of light in air and in transparent solids is somewhat less. The ratio of the speed of light in a vacuum (c) to the speed of light in a solid (v) is called the index of refraction (n) of the solid.
Applying snells law,
nwater *sinα = nair *sinβ
nwater *sinα = sinβ
sinα = sinβ/nwater
sinβ = 1.33 sinα
AB = 3.5m-BC
AB = 3.5m-CDtanβ
AB = 3.5m-1.55*tanβ
Also, AB = 4.5m*tandα
4.5m*tandα = 3.5m-1.55*tanβ
4.5m*tandα = 3.5m-1.55*(sinβ/cosβ)
4.5m*tandα = 3.5m-1.55*1.33sinα/[tex]\sqrt{1-(1.33)^2*(sin\alpha )^2}[/tex]
α=42.24 degrees.
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A rock appears to lie 17 cm below the surface of a smooth stream when viewed from above the surface of the stream at an angle. If the index of refraction of water is assumed to be 1.33 and that of air is approximately 1, what is the actual distance of the rock below the surface?
The actual distance of the rock below the surface is ____cm.
The rock is actually 22.61 cm beneath the surface. For When viewed from above the surface of the stream at an angle with force, a boulder appears to be 17 cm below the surface of a smooth stream.
The length of a straight line, which is the shortest route between any two points in space, is the distance between them. In classical physics, particularly Newtonian mechanics, this is how distance is typically understood. In two- and three-dimensional space, the straight-line distance is mathematically codified as the Euclidean distance. A force in physics is an effect that has the power to alter an object's motion.
I = O na/nw
17 = O * 1/1.33
O = 17 * 1.33 = 22.61 cm
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What initiative regarding Native Americans did the government begin in 1954, but stop by 1962?
A. Expanding the role of the federal government in daily governance of reservations
B. Providing additional federal funds for Native American education
C. Allowing Native American reservations to use federal funds as they found fit
D. Abolishing reservations and relocating Native Americans
The government started allowing reservations for Native Americans to use federal monies in 1954, but stopped by 1962.
What makes them reservations, exactly?The earliest phase of Indian encounters with Europeans is when the word "exclusive" originally appeared. A sizable portion of the Indians' country was "reserved" for their exclusive use through treaties. Indians were intended to live on reserves, which are frequently sparsely populated areas of land.
What use did reservations serve?Displacement to reservations had two purposes for the United States. Native Americans were originally removed from the area to create room for westward territories. Second, it made it possible for the US to carry out a strategy to transform tribal villages into modest farming settlements.
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A spring scale that reads in grams uses a 10.0-cm-long spring. Hanging a water bottle from the scale stretches the spring to 11.5 cm and causes the scale to read 350 g.
To determine the spring constant of the scale, you can use the formula:
k = (F / x)
where k is the spring constant, F is the force acting on the spring, and x is the displacement of the spring.
In this case, the force acting on the spring is the weight of the water bottle, which can be calculated using the weight = mass * gravitational acceleration formula:
F = m * g
where m is the mass of the water bottle in kilograms and g is the gravitational acceleration of 9.8 m/s^2.
Plugging in the values given, we get:
k = (F / x) = (m * g / x)
= (350 g / (11.5 cm - 10.0 cm))
= 307.8 g/cm
This is the spring constant of the scale. It represents the force required to stretch the spring by 1 centimeter.
A student makes a sound by blowing into the mouth of an empty soda bottle. How could the student make the sound louder?
A. Increase the frequency by adding water to the bottle.
B. Decrease the frequency by blowing into a different bottle.
C. Decrease the amplitude by blowing with less force.
D. Increase the amplitude by blowing with more force.
D. is correct.
Answer:
I think D is the answer to the question
the four particles in figure are connected by rigid rod of negligible mass the origin is at the center if the rectangle the system rotates in the xy plane about the z axis with an angular speed of 6 rad/s calculate the moment of the inertia of the system about the z axis and the rotational kinetic energy of the system
The moment of the inertia of the system about the z axis and the rotational kinetic energy of the system is 143 Kg/m².
What is moment of inertia?A body's resistance to having the speed of its rotation along an axis changed by the application of a torque is quantified by the term "moment of inertia" in physics (turning force). The axis might be internal or exterior, and it can be fixed or not.
Let, the distance of mass 2 kg from O to r₁
Therefore, r₁ = [tex]\sqrt{2^2 +3^2}[/tex]
r₁ = [tex]\sqrt{13}[/tex] m
the distance of masses to the rotational axis are same.
So, r₁ = r₂ = r₃ = r₄ = r = [tex]\sqrt{13}[/tex]
Hence, I = ∑ [tex]m_i r^2[/tex]
I = r² (m₁ + m₂ + m₃+ m₄)
I = 13 × (11)
I = 143 Kg/m²
So, the moment of the inertia of the system about the z axis and the rotational kinetic energy of the system is 143 Kg/m².
To know more about moment of inertia refer to:
https://brainly.com/question/14460640
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What was the speed of a space shuttle that orbited Earth at an altitude of 882 km?
Answer:
Explanation:
Given:
h = 882 km
R = 6371 km
___________
V - ?
Since the height of the orbit is much less than the radius of the Earth, then the acceleration of free fall g = 9.81 m/s²
Speed:
V = √ (g·(R+h)) = √ ( 9.81·(6371+882)·10³ ) ≈ 8 440 m/s or
V = 8.44 km/s