3.9 determine the current i in the circuit of fig. 3.21 after first replacing the four sources with a single equivalent source.
Answers
The current I in the circuit after first replacing the four sources with a single equivalent source is calculated as 50mA. The circuit can be seen in the attached diagram.
Series combinationIf we have to combine the voltage sources, they must be in series. In the question since it is given that same current flows through each, thus it means it is in series.
If we start from the bottom and proceed clockwise in the circuit, we have
-3-9-5+1 = -16V
The four voltage equivalent sources are to be replaced with a single 16V source.
so, then when KVL is mixed with the Ohm's law, we have
-16 + 100i +220i = 0
⇒ i = 16/320 = 50mA
The circuit described in the given question is also equivalent
For the diagram pertaining to the circuit, it is attached below.
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Related Questions
For a hanging mass of 0.061 kg and string density equal to 0.00040 kg/m, what is the velocity of a wave traveling down the string?
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For a hanging mass of 0.061 kg and string density equal to 0.00040 kg/m, the velocity of a wave traveling down the string is 39m/s.
What is velocity?Velocity is defined as a vector measurement of the rate and the direction of motion. Put simply, velocity is the speed at which something moves in the one direction. The speed of a car traveling north on a major freeway and speed of a rocket launching into the space can both be measured using velocity.
The SI (international) units for the velocity are m/s (meters per second), but velocity may also be expressed in any units of distance per time. Other units include the miles per hour (mph), kilometers per hour (kph), and kilometers per second (km/s).
Velocity measures the motion starting in one place and heading toward another place. The practical applications of the velocity are endless, but one of the most common reasons to measure velocity is to determine how quickly you (or anything in motion) will arrive at a destination from a given location.
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this problem checks your understanding of the term in the equation for the electric field due to a point charge, . consider a charged particle at a point s whose coordinates are (10 m, 10 m, 7 m). we would like to find the electric field vector at a point p whose coordinates are (4 m, 5 m, 5 m). the term is the distance between point s and point p. what is its value, in meters?
Answers
The distance from point s to point p is 0.8 meters by the vector coordinates s and p.
What precisely do vectors consist of?A vector is an entity that has both dimension and direction. A directed boundary can be used to represent a vector graphically, with the length of the segment corresponding to the vector's magnitude and the direction being indicated by an arrow. From its tail to its head, the vector points in a direction. The mathematical or geometrical representation of a quantity is another use of the term. Vectors can be found in nature as force, momentum, electromagnetic fields, weight, and velocity.
We are given the point s is (10 m, 10 m, 7 m) and the point p is (4 m, 5 m, 5 m).
Now the vector coordinates are: (10-4)i+(10-5)j+(7-5)k=6i+5j+2k.
The distance in the vector form is: 5/(6²+5²+2²)=5/65=0.8
So the distance is 0.8 m.
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If the particles formed through fission have less mass than the starting material, has the law of conservation of energy been broken?
Answers
Answer:
No
Explanation:
Some of the mass has been transformed into energy.
Hope this helps!
A glass rod that has been charged to 14.0 nc touches a metal sphere. afterward, the rod's charge is 7.0 nc . what kind of charged particle was transferred between the rod and the sphere?
Answers
The charged particles that transferred between the glass rod and the metal sphere were electrons.
The rod has lost some of the charges it had earlier as the remaining count of charges is less than the previous one.Before analysing the type of the charge it is worthy to know about the conductive properties of both the materials.Glass is insulative while metal is conductive. Conductive materials in the sense have free electrons in abundance compared to insulative materials that conduct electricity within them. Glass, in comparison, does not conduct charges dynamically but rather keeps them stationary where those were originated. Electrons are more dynamic than protons.In this case, the metal sphere is neutral at the beginning that contained equal amounts of negative(electrons) and positive(protons) within it. Once the rod is taken close and eventually touched the sphere the more dynamic electrons flow into the rod nullifying the charges the rod had earlier.Therefore, it can be concluded that the type of charges the rod had were positive ones(protons) and the charges moved between them were electrons from the sphere to the rod.Otherway around is impossible.Finally, the sphere contains an amount of positive 7.0 nC charge while the rod contains the remainder of 7.0 nC on the parts which did not touch the sphere.
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stars in a constellation are group of answer choices in the same part/region of the sky. physically close to each othe
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A constellation can be said as a collection of stars that resembles any kind of pattern or image, such as Leo the Lion, Taurus the Bull, or Orion the Great Hunter.
What is a constellation?A constellation can be specified as a collection of stars that resembles a pattern or image. People can use these constellations to help them find their way around by looking up at the night sky. There are in total about 88 constellations that are “official.”
How do constellations get their names?Most of the constellation names we are familiar with derive from ancient Greek, Roman, and Middle Eastern cultures. The gods, goddesses, monsters, and locales from their mythology were recognized in star groupings.
It’s crucial to realize that these weren’t the only nations who populated the night sky with figures significant to their way of life.
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Please answer in complete sentences
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The x axis shows the type of product while the y axis can be used to show the percentage.
What is a bar chart?The bar chart is one of the ways to present data. It involves the use of long bars to represent the dependent variable. We know that data presentation is a very vital part of information presentation.
Now, if we look at the chart, we can see that there are two axes, the x and the y axis. In either case, the axis mean something!
The x axis shows the type of product while the y axis can be used to show the percentage.
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In one or two sentences, explain how Rutherford’s model of an atom changed scientific knowledge and describe the evidence that justified the model.(2 points)
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From the Rutherford's model of the atom, the electron moves round in orbits as the planets moves round the sun.
What is Rutherford model of the atom?According to the Rutherford's model of the atom, the electron moves round in orbits as the planets moves round the sun. The nucleus is at the focus of concentric ellipses.
This model solved the riddle of the experiment of Rutherford which suggested large positively charged core at the center of the atom and not the large sphere of positive and negative charges as previously opined by Thompson.
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the weight of an astronaut plus his space suit on the moon is only 271 n. how much do they weigh on earth?
Answers
The astronaut's weight plus his space suit on Earth is 1,639.34 N
To solve this exercise, the weight formula and procedure to be applied is:
W = m * g
Where:
W = weightm = massg = gravityInformation about the problem:
g(earth) = 9.8 m/s2 g(moon) = 1.62 m/s²W(moon) = 271 NW(earth) =?1 N = kg * m/s²Applying the weight formula, we isolate the mass to get the mass of the astronaut plus his space suit on the moon:
W = m * g
m = W(moon)/g(moon)
m = 271 kg * m/s² / 1.62 m/s²
m = 167.28 kg
With the mass, we calculate the weight on the earth:
W(earth) = m * g(earth)
W(earth) = 167.28 kg * 9.8 m/s2
W(earth) = 1,639.34 N
What is gravity?In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.
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what are some of the everyday phenomena that you can observe that indicate an interaction between two charged objects?
Answers
The interaction between two like-charged objects is repulsive. The interaction between two oppositely charged objects is attractive.
What is charge?A charge is any of various amounts, for example, the electric charge in electromagnetism or the variety charge in quantum chromodynamics. Charges compare to the time-invariant generators of a balance bunch, and explicitly, to the generators that drive with the Hamiltonian. Charges are in many cases meant by the letter Q, thus the invariance of the charge compares to the evaporating commutator[Q,H]=0, where H is the Hamiltonian. Hence, accuses are related of moderated quantum numbers; these are the eigenvalues q of the generator Q. A charge is any generator of a persistent balance of the actual framework under study. At the point when an actual framework has a balance or the like, Noether's hypothesis infers the presence of a moderated current. The "streams" in the current is the "charge", the charge is the generator of the (neighborhood) balance bunch. This charge is once in a while called the Noether charge. Charge is denoted by Q.
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The ________ explains the formation of the solar system by describing how the sun and planets formed from a rotating cloud of interstellar gases.
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The solar system and planets were created from a revolving cloud of interstellar gas, according to the nebular theory, which also explains how the sun came into being.
The nebular speculation is the maximum extensively commonplace version within side the subject of cosmogony to provide an explanation for the formation and evolution of the Solar System (in addition to different planetary systems). It shows the Solar System is fashioned from fueloline and dirt orbiting the Sun.
How does the nebular theory shape the sun gadget?
Approximately 4.6 billion years ago, the sun gadget became a cloud of dirt and fueloline called a sun nebula. Gravity collapsed the cloth in on itself because it commenced to spin, forming the solar within side the middle of the nebula.With the upward push of the solar, the final cloth commenced to clump together.To learn more about Nebular theory, visit:
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A mass attached to a spring is displaced from its equilibrium position by 5cm and released. The system then oscillates in simple harmonic motion with a period of 1s. If that same mass–spring system is displaced from equilibrium by 10cm instead, what will its period be in this case?.
Answers
Time interval stays the same = 1 sec in this case.
Because, T = 2 pi (m/k)^1/2 is independent of displacement depends on mass and the same in both situations spring constant.
What is the interval of time?
The length of time between two specific moments in time is known as a time interval. Here's an illustration: "The period between three and four o'clock is one hour." Different units are used to describe different lengths of time, and some units are more suited to particular periods of time than others.
A second is the shortest unit of time we would utilize on a daily basis. And a day is made up of 24 hours. A watch or a clock can be used to record these time units. A calendar is necessary if you want to measure longer periods of time.
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The police come to your house and demand to search it. You respond that they should leave and not come back without a warrant signed by a court that shows they have a good reason to search your home. You are exercising your rights as guaranteed under which Amendment?
Group of answer choices
The Second Amendment
The Fourth Amendment
The Eighth Amendment
The Fourteenth Amendment
Answers
The distance between one positive peak and the next positive peak of a wave is called?
Answers
The distance between one positive peak and the next positive peak of a wave is called wavelength.
What is wavelength?In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda , which represents wavelength, is frequently used. When describing modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids, the term wavelength is also occasionally used. Wavelength is inversely related to frequency for a sinusoidal wave flowing at a constant speed.
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a bicycle pedal is pushed straight downwards by a foot with a 37 newton force. the shaft of the pedal is 20 cm long. if the shaft is radians past horizontal, what is the magnitude of the torque about the point where the shaft is attached to the bicycle?
Answers
The magnitude of the torque about the point where the shaft is attached to the bicycle will be 740 N-m.
What is torque?The torque is the cross product of the perpendicular distance and force. The torque is the vector quantity and its SI unit is N-m. The torque is given as,
T = r x F
T = r · F · sin θ
A bicycle pedal is pushed straight downwards by a foot with 37 Newtons of force. The shaft of the pedal is 20 cm long. If the shaft is radians past horizontal. Then the angle will become the right angle.
Then the magnitude of the torque about the point where the shaft is attached to the bicycle will be given as,
T = r · F · sin θ
T = 20 · 37 · sin 90°
T = 740 N-m
Then the magnitude of the torque about the point where the shaft is attached to the bicycle will be 740 N-m.
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the brakes on ned’s overland truck malfunction, but he continues to drive it. unable to slow down, he crashes through a guardrail and careens off the road. in ned’s suit against overland, the truck maker can raise the defense of
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The brakes on Ned's overland truck are broken, but he continues to drive them. unable to slow down, he crashes into a guardrail and pulls off the road. in the case of ned versus overland, the truck manufacturer can raise the defense of assumption of risk
Define assumption of risk?In situations when the plaintiff has voluntarily assumed the risk of such acts, the common law doctrine known as "assumption of risk" states that the plaintiff is ineligible to claim damages from a negligent party. Sometimes, prospective plaintiffs assume the risk of harm and absolve prospective defendants of all responsibility. This was once an affirmative defense open to defendants, but in most countries, it has since been supplanted by complicity and comparative negligence.
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hayashi 2004 ), temperature-electrical conductivity relation of water for environmental monitoring and geophysical data inversion,
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hayashi 2004 ), temperature-electrical conductivity relation of water for environmental monitoring and geophysical data inversion,
electric conductivity (EC) is often used to map infected groundwater, separate movement hydrographs, and screen the mixing of sparkling and salt water. considering EC is temperature-structured, it's far essential to file the recorded EC values at various temperatures as matching to a widespread temperature. typically, a random consistent is hired for temperature repayment under the belief that the EC-temperature courting is linear (as an instance, a upward thrust of two% in EC each 1 °C). The EC-temperature relationship of natural waters with wildly dissimilar compositions and salinities is tested on this research. The EC-temperature dating changed into slightly nonlinear within the 0–30 °C temperature variety, however the linear equation got here as a substitute near describing it.The temperature correction issue for 25 °C ranged from 0.0175 to zero.0198, with an average price of 0.0187.
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which conversion factors can be used to multiply to 4 km/min to get meters per hour?select each correct answer. 1 km1000 m1 km over 1000 m1 h60min1 h over 60 min1000 m1 km1000 m over 1 km60min1 h
Answers
Conversion should be done as follows:
4 km/min → m/hr
⇒ 4 km/min = (4x1000)/ (1/60) = 240000 m/hr
How are kilometers per minute calculated?
You can measure your current speed in mph or kph. To convert it to kilometers per minute or miles per minute, divide it by 60.
To get miles per second or kilometers per second, divide by 60 once more.
Alternative: To convert it directly, divide it by 3600.
How are kilometers and miles per hour converted?Divide the number of kilometers per hour (kmph) by 1.609344 to get the equivalent number of miles per hour (mph).
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13. Which personality trait helps you to use straightforward and confident communication with others?
A. Neurotic
B. Absentminded
C. Shy
D. Assertive
Answers
The personality trait which helps you to use straightforward and confident communication with others is referred to as Assertive and is therefore denoted as option D.
What is Communication?This is defined as the process in which information is passed or exchanged from one person or place to another through various means and forms.
Assertiveness is a personality which is characterized by self assuredness without exhibiting aggressiveness in making points clear to other people.It is also known as a straightforward and confident communication with others.
This is therefore the reason why option D was chosen as the most appropriate choice.
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Answer: assertive
Explanation:
Ki is making lemonade using a lemonade powder mix. Which scientific property of water is demonstrated by the lemonade powder dissolving into water, making lemonade?
A. Solubility
B. Cohesion
C.Adhesion
D. Capillary Action
Answers
Answer:
Solubility
Explanation:
Solubility involves dissolving a substance
Select three true statements I need help quick
Answers
Answer:
TrueFalseFalseTrueTrueTrueExplanation:
A neutral atom will always have same number of protons and electrons no wonder the amount of neutrons.They have a slight difference between so they are not the same.As I stated neutral atom will always have same number of Protons and Electrons do not mistake Neutron for it.Everything that takes up space and has mass is called matterAtoms are also know as building blocksIt is made from tiny atom particlesHope everything's clear!
Goodluck
it is known that the electric force of repulsion between two electrons is much stronger than the gravitational attraction. for two electrons at a distance d apart, calculate the ratio of the size of the electrostatic repulsion to that of the gravitational attraction.
Answers
The ratio of the size of the electrostatic repulsion to that of the gravitational attraction is 4.17×[tex]10^{42}[/tex]
11 A feather of mass 10 g falls from rest from a height of 3 m and takes 2s to hit the ground. Find the air
resistance on the feather.
Answers
The air resistance on the feather is 20.2275 x [tex]10^9[/tex]N.
Air resistance is the force the air applies to objects moving through it. Scientists frequently refer to this force as drag or drag force. Usually, this force is utilized to slow down the object's speed by acting in the opposite direction.
The moving body is subject to the frictional force of air resistance. Air resistance slows a moving body down. The body experiences higher air resistance the more it moves.
Given:
Mass, m = 10g
Height, h = 3m
Time, t = 2s
Force constant, k = 8.99 x [tex]10^9 Nm^2[/tex]
To find:
Air resistance, Fa = ?
Formula:
[tex]Fa = kv^2[/tex]
Calculations:
Speed, v = h/t
v = 3/2
v = 1.5m/s
Fa = 8.99 x [tex]10^9[/tex] x 1.52
Fa = 20.2275 x [tex]10^9[/tex]N
Result:
The air resistance on the feather is found to be 20.2275 x [tex]10^9[/tex]N.
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An electric motor delivers a shaft torque of 15 lb. ft at 1800 rpm. what is the motor power?
Answers
The power of the motor is 3.82 kilowatt.
Shaft torque of the electric motor = 15 lb-ft = 20.3 Nm
Revolution per minute made by the electric motor = 1800 revolutions per minutes
The angular velocity of the electric motor is,
[tex]Angular \: velocity = \frac{ 2 \times π \times revolutions}{60} [/tex]
[tex]w = \frac{2 \times \pi \times r}{60}[/tex]
[tex]w = \frac{2 \times 22 \times 1800}{ 7 \times 60}[/tex]
[tex]w = 188.5 \: rad/s[/tex]
The angular velocity of the electric motor is 188.5 rad/s.
The power of the motor is,
[tex]Power = torque \times angular \: velocity[/tex]
[tex]P = τ \times w[/tex]
[tex]P = 20.3 \times 188.5[/tex]
[tex]P = 3826.5 \: watt[/tex]
[tex]P = 3.82 \: kilowatt[/tex]
Therefore, the power of the motor is 3.82 kilowatt.
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A cannon is fired horizontally from the top of a platform, with a velocity of 18m/s. If the cannon ball
lands 162m away from the base of the platform, How long does it take for the cannon ball to hit the
ground? How tall is the platform?
I
Answers
The time cannon ball to hit the ground is 9s and length of platform is 1,458 m.
Equation :To calculate time taken by cannon ball hit ground we use formula,
speed = distance / time
s = d / t
As given,
s is 18m/s
d is 162m
t = ?
Putting the values,
18m/s = 162m / t
t = 162m / 18m/s
t = 9 s
To calculate length of platform,
length = distance x time taken to hit the ground
l = 162m x 9s
l = 1,458 m
Velocity :When an object is moving, its velocity is the rate at which its direction is changing as seen from a specific point of view and as measured by a specific unit of time. a vector measurement of the motion's velocities. Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway.
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A cold drink initially at 39 f warms up to 42 f in 4 min while sitting in a room of temperature 72 f. how warm will the drink be if left out for 15 min?
Answers
If the cold drink will be left out for 15 minutes its temperature would be 72 F.
The formula for Newton’s Law of Cooling is given in the adjoining image.
Applying the given values in the above equation,
T- T1 = (TS - T1) e^-kt
42 -72 = (39-72) e^-2k
- 30/ -33 = e^-2k
K = 0.045
Putting k = 0.045 and t = 15 minutes
T comes out to be 72 F.
Hence, if the cold drink will be left out for 15 minutes its temperature would be 72 F.
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the electric field midway between two equal but opposite point charges is 573 n/c , and the distance between the charges is 16.0 cm
Answers
The electric potential between the two charges is 91.68 V.
Electric potential between the two chargesThe electric potential between the two charges is calculated as follows;
V = Ed
where;
V is electric potentialE is electric fieldd is the distance of the chargeSubstitute the given parameters and solve for electric potential,
V = 573 N/c x 0.16 m
V = 91.68 V
Thus, the electric potential between the two charges is 91.68 V.
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if a sounds power level increases from 20 decibels to 50 decibels, by what factor does the power increase?
Answers
Answer:
the answer is source of sound
The power increases by a factor of [tex]10^3,[/tex]or 1000. In other words, the final power level is 1000 times greater than the initial power level.
What is a decibel scale?The decibel (dB) scale is a logarithmic scale used to express the ratio of two power levels. The formula to calculate the ratio of two power levels in decibels is:
Ratio in dB = [tex]10 * log10 (P2/P1)[/tex]
where P1 and P2 are the two power levels being compared.
To find the factor by which the power increases, we can rearrange this formula to solve for the ratio of the two power levels:
P2/P1 = 10^(dB/10)
In this case, the power level increases from 20 dB to 50 dB, so the ratio in dB is:
Ratio in dB = 50 dB - 20 dB = 30 dB
Substituting this value into the formula, we get:
[tex]P2/P1 = 10^(30/10) = 10^3[/tex]
Therefore, the power increases by a factor of [tex]10^3,[/tex] or 1000. In other words, the final power level is 1000 times greater than the initial power level.
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How is earth outer layer different from a cracked hard-boiled egg?
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Answer: The crust of the earth is broken into pieces, like the cracked shell of a hardboiled egg. The mantle of the earth is like the egg white, and the core of the earth lies in the center, like the egg yolk. The earth's brittle crust is broken into pieces that geologists call plates.
a 2.50 kg block, sitting on the floor, is attached to a wall by a spring with a spring constant of k
Answers
The force exerted on the block by the spring is 89.7 N and it will experience an acceleration of 35.8 m/s².
Mass of the block = 2.5 kg
Spring constant of the spring = 115 N/m
Change in the length of the spring = 78.5 cm = 0.78 m
Friction = 0
The force exerted on the block by the spring is,
[tex]Spring \: constant = \frac{Force }{ Change \: in \: length \: of \: the \: spring}[/tex]
[tex]k = \frac{F}{x}[/tex]
[tex]F = x \times k[/tex]
[tex]F = 0.78 \times 115[/tex]
[tex] = 89.7 \: N[/tex]
The force exerted on the block by the spring is 89.7 N.
It will experience an acceleration of,
[tex]Force= mass \times acceleration[/tex]
[tex]F = m \times a[/tex]
[tex]a = \frac{F}{m} [/tex]
[tex]a = \frac{89.7}{2.5} [/tex]
[tex] = 35.8 \: m/s ^{2} [/tex]
Thus, it will experience an acceleration of 35.8 m/s².
Therefore, the force exerted on the block by the spring is 89.7 N and it will experience an acceleration of 35.8
m/s².
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the help is very much appreciate!! thank you and please hurry
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The direction of the final velocity of the space shuttle flying north at 6,510 m/s, then accelerating at 28.4 m/s² for 60.0 seconds in the northeast direction I is approximately north 8.9° east.
How can the final direction of the velocity be calculated?The velocity of the space shuttle in the northeast direction after 60.0 seconds is therefore;
v = 28.4 × 60 = 1704
Which gives;
(vf)² = 6510²+1704²-2×6510×1704×cos(135)
(vf)² = 67383000.3975
vf = √(60971643.616) ≈ 7808.43
7808.43/sin(135) = 1704/sin(x)
x = arcsine (1704/(7808.43/sin(135)))
x ≈ 8.9°
The direction of vf is therefore;
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