The frequency heard by the person is 493.78Hz.
When the train moves toward the stationary observer then:
[tex]F=n(V/V-V_{s})[/tex]
Given:[tex]n=472,V=340m/s,V_{s}=15m/s[/tex]
[tex]F=472(340/340-15)\\F=493.78Hz[/tex]
What are the frequency and pitch of sound?
Sounds are higher or lower in pitch according to the frequency of vibration of the sound waves producing them. A high frequency (e.g., 880 hertz [Hz; cycles per second]) is perceived as a high pitch, and a low frequency (e.g., 55 Hz) as a low pitch.
How does the frequency of sound change with distance?
The frequency of sound doesn't decrease with distance, but it does decrease with increasing distance, meaning it does go through the doppler shift, the same as light. This is why the sound of a car driving by at high speeds drops in frequency as the car passes you.
Thus, the frequency at which the whistle is heard is 493.78Hz
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452.05 Hz is the frequency at which whistle is heard when the frequency (Hz) a person hears as a train blows its whistle at 472Hz while moving 15m/s toward this person on a freezing cold day.
What is frequency ?The No. of oscillations of a wave in fixed unit of time is termed as frequency. f=1/T .
The S.I unit of frequency is hertz (Hz). One hertz is = to one cycle per second.Given:
Frequency of whistle is =472Hz
The speed of train = 15m/s
Speed of air =340m/s
Solution:We use the given formula nA=n( V/V+Vs)
nA= 472(340/340+15)
nA=452.05 Hz
Hence, 452.05 Hz is the frequency at which whistle is heard when the frequency (Hz) a person hears as a train blows its whistle at 472Hz while moving 15m/s toward this person on a freezing cold day.
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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:
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?
"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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Name five alternative energy sources for transportation. list one benefit and one challenge of each.
Natural gas, hydrogen, electricity, hybrid vehicles, biofuels, five major alternative energy sources in transportation. Producing energy from fossil fuels no releases of greenhouse gases, lowering forms of pollution.
What types of energy are primarily used for transportation?The relative ease with which petroleum-derived fuels may be stored and utilized in internal-combustion engines accounts for their supremacy. However, they need a more intricate storage system than other fossil fuels, such as natural gas, gas, and methanol, which can also be utilized as transportation fuels.
How can the transportation system be made to use less energy?Use your personal automobiles sparingly. When possible, strive to use public transportation. Reduce the car's additional BOOT weight. Unnecessary objects like a flat tire and unwanted luggage—especially hefty ones—in the car might lower its mileage.
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True or False : the effect of magnetizing flux can be represented by a magnetizing inductance. this inductance appears in parallel with the primary side of a transformer (if primary leakage inductance and copper resistance are ignored).
True , The magnetizing inductance and this inductance are parallel. Each coil in a transformer has the same voltages each turn.
What are transformers and what varieties exist?Power transformers, distribution transformers, and isolation transformers, in that order. We have Twin Winding Generators and Autotransformers based on windings. We include Core Type Transformers, Shell Type Transformers, and Berry Type Transformers based on core designs.
What purpose does a transformer serve?Electric circuits employ transformers to modify the voltage of the electricity flowing through the circuit. In AC circuits, it is utilized to step up or step down the voltage (thus, "stepping up" or "stepping down").
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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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18. scientists measured the beak length of a population of birds in a lake in 1960. they measured the beak length of the bird population again in 2010. what do the graphs show you about the variation in the beak lengths of the birds by the lake?
The graph shows that there was more variation in 2010.
A graph can be described as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
A graph is a common data structure that consists of a finite set of nodes (or vertices) and a set of edges connecting them.
From the graph show, scientists measured the beak length of a population of birds in a lake in 1960. they measured the beak length of the bird population again in 2010. The graph shows that there was more variation in 2010.
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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
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.
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An average force of 100. newtons is used to pull back the string of a bow by 0.60 meter.
The arrow in the bow is released. What is its kinetic energy as it leaves the bow?
Answer: 60 joules
Explanation:
The amount of work done in pulling back the string of a bow
= FORCE * DISPLACEMENT
W = 100 * 0.60 = 60 J
The change in kinetic energy is the net work done.
Therefore,
W = k1 - k2 = k1
This implies that the work done is equal to the kinetic energy.
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
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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A car travels west 60 kilometers in 2.5 hours. Its average velocity for the trip is ____ km/h.
pls help
Answer:
24km/h
Explanation:
V = D/T
= 60/2.5
= 24
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 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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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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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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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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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
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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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
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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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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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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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.
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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The svstem shown below is released from rest
and moves 50 cm in 1.0 second. What is the value
of M? All surfaces are frictionless.
Value of M (mass of other block) in the mention pulley system is 3.68 kg.
What is tension?Tension is the contact force transmitted when the force on both ends pulls on a rope, cord, wire, etc.
For example, a tire swing hanging from a tree creates tension in the rope that holds the swing to the branch. Pulling at the bottom of the rope is due to gravity, while pulling up is due to the branches resisting rope pull. The pulling force acts along the length of the rope and acts evenly on the objects (tires and branches) at both ends. At the hoop, the pull is upward (because the tension in the rope holds the hoop up), but at the branch the pull is downward (a taut rope pulls the branch down).
Let's calculate acceleration:
S = ut + ¹/₂ at²
Where, s = 50 cm or 0.5 m
u = 0 m/s
t = 1.0 second
Now, substitute the values:
0.5 = 0 × 1 + ¹/₂ a × 1²
0.5 = ¹/₂ a
a = 1 m/s²
Now for tension force following are the equations:
T = ma + mg
T = Mg - Ma
ma + mg = Mg - Ma
Where, T = Tension force
m = 3 kg
a = 1 m/s²
g = 9.8 m/s²
M = To be calculated
a = (Mg - mg)/(M + m)
1 = (M × 9.8 - 3 × 9.8)/(M + 3)
1(M + 3) = 9.8 M - 29.4
M + 3 = 9.8 M - 29.4
29.4 + 3 = 9.8 M - M
32.4 = 8.8 M
M = 32.4/8.8
M = 3.68 kg
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The complete question is as follows:
The system shown below is released from rest and moves 50 cm in 1.0 second. What is the value of M? All surfaces are frictionless.
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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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
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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