Answer:
Explanation:
C. 113.5 Ns
Evan is a championship runner of the school's track team. During one of his trials, his speed was measured at 10.1 m/s. Find Evan's kinetic energy during that trial if his mass is 58.6 kg.
Evan's kinetic energy during the trial was [tex]295.99 kg m^2/s^2.[/tex]
What is energy?Energy is defined as the capacity for doing work. It is the ability to cause change or to make things happen. It exists in many forms and can be derived from various sources such as the sun, wind, water, and even nuclear power. Energy can be transformed from one form to another, such as when electricity is generated from the sun or when mechanical energy is converted into electrical energy. Energy can also be stored in batteries, stored in the form of potential or kinetic energy, or even converted into thermal energy.
Kinetic energy (KE) is the energy an object has due to its motion. It is calculated using the equation [tex]KE = 1/2 mv^2[/tex], where m is the mass of the object and v is its velocity.
In Evan's case, his mass is 58.6 kg and his velocity is 10.1 m/s. Therefore, his kinetic energy during the trial can be calculated as follows:
[tex]KE = 1/2 * 58.6 kg * (10.1 m/s)^2KE = 295.99 kg m^2/s^2[/tex]
Therefore, Evan's kinetic energy during the trial was [tex]295.99 kg m^2/s^2.[/tex]
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Part A The integral with respect to time of a force applied to an object is a measure called impulse, and the impulse applied to an object during a time interval determines its change in momentum during the time interval. The safety of a t-shirt launcher, used to help get crowds cheering at baseball games, is being evaluated. As a first step in the evaluation, engineers consider the design momentum of the launched t-shirts. The springs in the launcher are designed to apply a variable force to a t-shirt over a time interval of tu=0.5 s. The force as a function of time is given by F(t) = at' + b, where a = -28 N/s' and b = 7.0 N. F (t) dt. By applying the given time The momentum of the t-shirt will be its initial momentum (po = 0) plus its change in momentum due to the applied impulse: pj=po+ S dependent function for F(t) and performing the integration, which of the following is the correct expression for p/? View Available Hint(s) P = 0+ )6 0+*+8 +b)16 0+(+3 + bt) 0+ +) Submit Previous Answers ✓ Correct We check that we have obtained the correct form of the integral by performing differentiation of t + bt with respect to t, which gives at +b= F(t) as expected. Correct If the Jadarian-Ruby had been properly maintained, GAJMO Nermalloy would be able to successfully complete the delivery mission. The result can be found using KE2 = KE + F(2) dr. When F(2) is constant, F(2) = Fo, and the result of the integral is simply FoAr. That is, the measure of work represented by the integral is exactly the measure of the rectangle with height Fo and width Ar. For functions of other forms, rectangles only approximate the measure, and the integral allows us to evaluate the measure in the limit that the rectangles have infinitesimal width and the measure becomes exact. Part E Evaluate the final kinetic energy of the supply spacecraft for the actual tractor beam force, F(x) = ax + 8. View Available Hint(s) KE = 1.07. 1010 J Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
The final kinetic energy of the supply spacecraft is [tex]6.4 *10^{11} J[/tex] and final kinetic energy of the supply spacecraft can be found using the work-energy principle.
The work done by the tractor beam force can be found by integrating the force with respect to distance. Since the force is a function of x, we need to express the distance traveled by the spacecraft as a function of x. We know that the spacecraft starts from rest at x = 0 and moves a distance of [tex]4.0 * 10^5 m[/tex], so we have:
[tex]x = 0 + (1/2)ax^2 + 8x[/tex]
We can simplify this expression to:
[tex]x = (1/2)ax^2 + 8x[/tex]
Now we can express the work done by the tractor beam force as an integral:
W = ∫ F(x) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]
W = ∫ (ax + 8) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]
[tex]W = (1/2) a (4.0 * 10^5)^2 + 8 (4.0 *10^5)[/tex]
[tex]W = 6.4 * 10^{11} J[/tex]
The work done by the tractor beam force is [tex]6.4 * 10^{11} J[/tex].
Since the work done on the spacecraft is equal to the change in kinetic energy of the spacecraft, we have:
W = KE2 - KE
where KE is the initial kinetic energy of the spacecraft, which is zero.
Therefore, the final kinetic energy of the spacecraft is:
[tex]KE2 = W = 6.4 *10^{11} J[/tex]
So the final kinetic energy of the supply spacecraft is [tex]6.4 * 10^{11} J[/tex].
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A ball strikes the floor for 0.0105 s and experiences a change in momentum of 1.52 kg·m/s. What is the force experienced by the ball?
A.) 1.60N
B.)144.76N
C.)23.82N
D.)0.016N
Pic is attached below
The force experienced by an object is 144.76 N.
O\ption B is correct.
What is force?A force is described as an influence that can change the motion of an object or that can cause an object with mass to change its velocity
The force can be calculated using the equation of force = change in momentum / time.
So, force = 1.52 kg·m/s / 0.0105 s = 145 N
Therefore, the answer is 144.76 N.
Some types of force available includes the following:
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A 4-kg fish swimming at a speed of 2 m/s swallows an absent-minded 1-kg fish at
rest. The speed of the larger fish after lunch is
6/5 m/s.
1 m/s.
5/6 m/s.
2/5 m/s.
8/5 m/s.
In first case speed of fish will be ⅚ m/s.
In the second case the speed of fish ⅙ m/s
Given data :-
Mass of bigger fish ( m₁ ) = 5 kg
Mass of small fish ( m₂ ) = 1 kg.
Speed of large fish ( v₁ ) = 1 m/s
Mass of bigger fish after eating smaller ones = 5 + 1 = 6 kg.
Case - 1
Momentum of bigger fish before eating the smaller fish = m₁* v₁ = 5 * 1 = 5 kg.m/s
Momentum of bigger fish after eating the larger fish = ( m₁ + m₂)*v
v = speed of bigger fish immediately after lunch.
Using the conservation of momentum.
m₁* v₁ = ( m₁ + m₂)*v
5 = 6 * v
v = m/s.
Case -2
Speed of small fish = 4 m/s
Momentum of bigger fish before lunch = 5 kg.m/s
Momentum of smaller fish before lunch = 4*1 = 4 kg.m/s
Net momentum before lunch = 5 - 4 = 1 kg.m/s
Momentum of bigger fish after eating the larger fish = 6 * V
Using the conservation of momentum.
1 = 6 * V
V = m/s.
What is conservation of momentum?
This indicates that a conserved quantity is represented by a variable in an equation that is constant over time. Its value is the same whether an event occurs before or after it.In physics, there are a lot of conserved quantities. For making forecasts in what would otherwise be exceedingly complex situations, they are frequently remarkably useful. There are three fundamental quantities in mechanics that are conserved. These include angular momentum, momentum, and energy. Most often, collisions between objects are described using the principle of conservation of momentum.To know more about conservation of momentum, click the link given below:
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F. Reflection
*What is force and what types of force?
*Why it is important to know friction and gravity in our daily interactions in our life whether in the community or inside our home?
(a) Force is a physical quantity that describes the interaction between two objects or systems.
(b) Friction is the force that opposes motion between two surfaces in contact, and it is important because it allows us to walk, drive, and perform other tasks that require traction. Gravity, on the other hand, is the force that attracts objects to each other, and it is important because it keeps us and everything around us grounded on the Earth.
What is force and what types of force?
Force is a vector quantity, meaning that it has both magnitude and direction. The SI unit of force is the Newton (N).
There are several types of force, including:
Contact forcesNon-contact forcesApplied forcesRestoring forcesFriction and gravity are two important forces that we encounter in our daily interactions.
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If two bowling balls were to collide head on and bounce off one another, with no loss in kinetic energy, the collision would be considered a(n) ___________ collision.
A.Reversable
B.Cushy
C.Perfectly Inelastic
D.Elastic
D. Elastic because that's what an elastic collision is.
A camera flash is a capacitor that stores a charge of 0.06 C at 474 V. The energy stored is _____ Joule.
The energy stored in the camera flash is 28.44J.
How to calculate energy?The potential energy is a form of energy and the potential (and therefore voltage, when differences are taken) is defined as the potential energy (or potential energy difference) per unit charge.
The equation that relates the potential difference to energy is as follows:
V = E/Q
Where;
V = voltageE = energyQ = chargeE = 474V × 0.06C
E = 28.44J
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For which of the following configurations is the transit method best suited?
O Star/Planet systems that we view face-on (small inclination angles).
O Star/Planet systems that we view edge-on (inclination angle near 90 degrees).
O The inclination angle does not matter
Configurations in the transit method best suited for: Star/Planet systems that we view face-on (small inclination angles). The first option is the correct answer.
What is transit ?A transit occurs when a planet passes between a star and its observer. Transits within our solar system can be observed from Earth when Venus or Mercury travel between us and the Sun.
The transit method is best suited for observing star/planet systems that we view face-on (small inclination angles). This is because when the planet passes in front of the star from our perspective, it blocks a small fraction of the star's light and causes a dip in the star's brightness, which can be detected and measured by telescopes.
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A car driving at a constant speed of 20 m/s (meters per
second) turns right, down a street.
1. Is the car accelerating during the turn? Why or why not?
2. Would you feel any of the movement during this event?
Why or why not?
EXTRA HELP
What is changing as the car turns? What changes qualify as
an acceleration? How can you feel acceleration?
Answer:
it is accelerating because it is at constant speed.
A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +2 Q. A point charge + Q sits at the center of the hollow sphere.
Determine the magnitude of the electric field in the region r≤a
The magnitude of the electric field in the region r≤a is zero.
What is Point Charge?
A point charge is a theoretical charge that is assumed to be located at a single point in space, with all of its electric charge concentrated at that point. It is an idealized model that is often used to simplify calculations in electromagnetism. A point charge can be either positive or negative and is characterized by its electric charge, which is a fundamental property of matter. The electric field created by a point charge decreases with distance from the charge, following an inverse square law. The concept of a point charge is often used in electrostatics, where the charge distribution of an object can be approximated as a collection of point charges.
Inside the hollow metal sphere (i.e., for r≤a), the electric field is zero because the excess charge +2Q on the sphere redistributes itself to cancel out the electric field due to the central charge +Q.
This can be shown using Gauss's Law. A spherical Gaussian surface of radius r≤a, centered at the center of the sphere and inside the metal shell, encloses only the point charge +Q. By symmetry, the electric field is radial and has the same magnitude at every point on the Gaussian surface. By Gauss's Law, the total electric flux through the surface is proportional to the charge enclosed by the surface. Since there is no charge inside the surface (because the excess charge on the metal sphere cancels out the charge inside it), the total electric flux through the surface is zero. Therefore, the electric field inside the hollow metal sphere is zero.
Thus, the magnitude of the electric field in the region r≤a is zero.
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A heart pacemaker fires exactly 71
times a minute. Each time it fires, a 33.0 nF
capacitor is charged by a battery in series with a resistor to 0.732
of its full voltage. What is the value of the resistance
?
The value of the resistance is approximately 0.047 kΩ.
What is Resistance?
Resistance is a measure of how much a material or device opposes the flow of electric current through it. Resistance is typically denoted by the letter R and is measured in Ohms (Ω) in the International System of Units (SI).
We can use the formula for the charging of a capacitor through a resistor:
V = V_0 * (1 - e^(-t/RC))
where V_0 is the initial voltage, V is the final voltage, t is the time, R is the resistance, and C is the capacitance.
In this case, the capacitor is charged 71 times per minute, so the time between charges is:
t = 60 s / 71
= 0.845 s
The capacitor is charged to 0.732 of its full voltage, so the fraction remaining is:
1 - 0.732 = 0.268
0.268 = e^(-0.845/RC)
Solving for RC, we get:
RC = -0.845 / ln(0.268) ≈ 1.42 s
Since we know the capacitance C is 33.0 nF, we can solve for the resistance R:
RC = R * C
= 1.42 s * 33.0 nF
= 0.0468 ≈ 0.047 kΩ
Therefore, the value of the resistance is approximately 0.047 kΩ.
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A 50-kg student pulls on a rope attached to a 2-kg box, which moves at constant speed along a smooth surface, as shown. Which of the following corresponds to a force pair? The friction between the box and the surface, and the horizontal component of the push on the box. The normal force on the box and the weight of the box. The push on the box by the student and the push on the student by the box. The vertical component of the push applied by the student and the weight of the box. The weight of the box and the weight of the student. There are no force pairs because the acceleration of the box is zero.
Correct option at constant speed is "The push on the box by the student and the push on the student by the box" due to Newton's Third Law.
This is because every force has an equal and opposite reaction force according to Newton's Third Law of Motion. In this case, the student is pulling the rope, which exerts a force on the box, and the box is exerting an equal and opposite force on the student through the rope.
The other options listed do not correspond to a force pair because they either involve a single force acting on an object or two forces that are not equal and opposite. The normal force on the box and the weight of the box, for example, are two forces acting on the same object but are not equal and opposite. Similarly, the weight of the box and the weight of the student are two different forces acting on different objects and are not equal and opposite.
It's important to note that even though the box is moving at a constant speed, there are still forces acting on it. In this case, the force of friction is balancing the force applied by the student, resulting in zero net force and constant velocity.
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The words technology and ideology both contain the suffix -ology. Based on this information, what the does the suffix -ology MOST LIKELY mean?
The words technology and ideology both contain the suffix -ology. Based on this information,the suffix -ology means something added to the end of something else.
What is a suffix?
After a word's stem, an affix is called a suffix. Common examples are verb endings, which constitute the conjugation of verbs, case endings, which show the grammatical case of nouns, and adjectives. Inflectional and lexical suffixes are two types of suffixes that can carry grammatical information. a grammatical or inflectional suffix When a word is inflected in this way, its syntactic category and grammatical qualities are altered. Class-changing and class-maintaining derivational suffixes are the two types of derivational suffixes.Suffixes are known as affirmatives because they have the aabilitybility to change the form of words, especially in the study of Semitic languages.To know more about suffix, click the link given below:
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A charged particle is located 1 meter away from a charged sphere and experiences a force of -0.5 N. If the distance is decreased to 0.5 meter, which of the following would be correct?
A. The force would be one-fourth the original force.
B. The force would be one-half the original force.
C. The force would be two times greater.
D. The force would be four times greater.
Answer: the correct answer is A
Explanation: the correct answer is A. The force would be one-fourth the original force.
A 25kg turkey is fired from a 1.2x10^3 kg turkey launcher. If the horizontal velocity of the turkey is 245m/s east, what is the recoil of the launcher?
A.) 9.38 m/s
B.) 7325 m/s
C.) 4925 m/s
D.) 5.1 m/s
The recoil velocity of the launcher is 5.1 m/s.
option D.
What is the recoil velocity of the launcher?To calculate the recoil velocity of the launcher, we can use the law of conservation of momentum.
According to this law, the total momentum of the system (turkey + launcher) before the launch is equal to the total momentum after the launch.
initial momentum of the turkey = final momentum of the launcher
( 25 kg x 245 m/s ) = 1,200 kg (v)
where;
v is the recoil velocity of the launcherv = ( 6125 kgm/s) / ( 1,200 kg )
v = 5.1 m/s
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4. A skier with a mass of 55 kg is skiing down a snowy slope that has an incline of 30°. Find the coefficient of kinetic friction for the skier if friction is known to be 25 N.
The coefficient of kinetic friction for the skier if the magnitude of frictional force is 25N will be 0.04638.
What is Kinetic friction?Kinetic friction can be defined as a force which acts between the moving surfaces. A object moving on the surface experiences a force in the opposite direction of the movement. The magnitude of the force will also depend on the coefficient of kinetic friction between the two objects.
F = μk Fn
where, F is the frictional force,
μk is the coefficient of kinetic friction,
Fn is the normal force
Fn = mass × acceleration due to gravity
Fn = 55 × 9.8
Fn = 539N
F = μk Fn
F = 25N,
25 = μk × 539
μk = 25/ 539
μk = 0.04638
Therefore, the coefficient of kinetic friction will be 0.04638.
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You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 45 ∘ with the horizontal, and the hammer is moving at 4.5 m/s when it reaches the edge. Assume that the hammer is moving from the top of the roof to its right edge.
1. What is the vertical component of the hammer's velocity just as it leaves the roof?
The hammer travels at 3.9 m/s in its horizontal direction. The roof is at an angle with the horizontal when the hammer is dropped from a height of v along it.
Describe a velocity example.The speed with which something travels in a specific direction is known as its velocity. As an illustration, think of the movement of a car driving north on either a highway or the speed at which a rocket takes off.
When does acceleration differ from velocity?The change in displacement is measured in terms of velocity. The speed of change in velocity is known as acceleration. Given that it has both a magnitude and a direction, mass and velocity quantity. Being merely the change in frequency, accelerating is also an vector quantity.
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A child is sending pulses down a stretched rope at a rate of 2 pulses per second. The distance between the pulses is 5 meters. What is the speed of the wave?.
The speed of the wave that is propagated is 10 meters per second.
A wave is a disturbance or variation that gradually conducts electricity from point to point in a medium and can take the form of elastic deformation or a change in pressure, electric or magnetic intensity, electric potential, or temperature
The speed of a wave is determined by the frequency of the wave and its wavelength. In this case, the child is sending pulses down the rope at a rate of 2 pulses per second, so the frequency is f = 2 Hz.
The distance between the pulses is 5 meters, which is the wavelength of the wave, represented by lambda (λ).
The speed of the wave (v) is given by the formula:
v = f * λ
Substituting the values we have, we get:
v = 2 Hz * 5 m = 10 m/s
Therefore, the speed of the wave is 10 meters per second.
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A personal training log is a record of your physical activity. It should be created in a table (Microsoft Word) or spreadsheet (Excel) format. The log should contain enough information so that you know what dates you exercised on, what activity(s) you did, how long you spent exercising, and any weights used (if applicable). It should also contain a spot to note personal fitness improvements made with each exercise session.
The final requirement is to set a fitness goal for yourself. What do you want to accomplish by being physically active? Some examples include losing weight, gaining muscle strength, improving cardiovascular conditioning or getting ready for a competition. These are just examples though. Your goal can be anything you want to achieve in relation to your physical health. Write your goal above your log.
You will first submit this log blank for review by your teacher by uploading it as an attachment (do not use the answer box). At the end of the course in the lesson entitled "Racewalking", you will be submitting your completed log to determine how well you have done with achieving your fitness goals.
A scenario of how the log will be is given in the image attached.
What is the training log?In this scenario attached, the individual has set a goal of increasing their muscle strength and overall fitness. They have been keeping track of their exercises in a log, noting the date, activity, time, weights used, and improvement from the last session.
Therefore, As shown in the log, the individual has been progressively increasing the weights used in each exercise, which is a sign of improvement and progress towards their goal. By keeping this log, the individual can easily track their progress and make adjustments to their training routine as needed.
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A box with weight of 10000 pounds is held 25 miles above the Earth. What is the box's potential
energy in kip-feet? one kip = 1000 pounds (Remember that weight in pounds already accounts for
acceleration due to gravity.)
The potential energy of the box is 4180 kip-ft.
What is potential energy?Potential energy is described as the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
The potential energy of an object can be calculated using the formula:
PE = mgh
In the scenario,
the mass of the box is m = 10000 pounds and
the height above the ground is h = 25 miles = 25 * 5280 feet = 132000 feet.
The acceleration due to gravity is g = 32.2 ft/s^2.
Substituting these values into the formula, wehave:
PE = mgh = 10000 * 32.2 * 132000 = 4.18 x 10^8 ft-lb
Converting this to kip-ft,
PE = 4.18 x 10^8 ft-lb / 1000 = 4180 kip-ft
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A plane starts from rest and accelerate along the ground before take off.It moves 600 min 12s.Find the distance moved during the 12th seconds
Given,
Initial velocity, u = 0
Distance covered, s = 600m
Time is taken, t = 12s
We know,
[tex]s = ut +[/tex] [tex]1/2 at^{2}[/tex]
[tex]600 = 0*12 + 1/2 (a) (12)^{2}[/tex]
[tex]a = 600 * 2 / (12)^{2} \\a = 100/12\\ = 8.3m/s^{2} \\[/tex]
Uniform acceleration = [tex]8.s m/s^{2}[/tex]
now using,
[tex]v = u + at\\ = 0 + (8.3) (12)\\ = 99.6 m/s[/tex]
Hence, the speed at the end of the 12 sec is 99.6 m/s
The speed at the end of 11 sec = at = (8.3)(11) = 91.3 m/s
Distance covered by the plane in 11 sec =
[tex]2as = v^{2} - u^{2} \\s = v^{2} - u^{2} /\f2a\\= (91.3)^{2} - (0)^{2} / 2(8.3)\\= 425.29m[/tex]
Thus, distance covered during 12th sec = distance covered in 12s - distance covered in 11s = 600 - 425.29 m = 174.71 m
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A certain asteroid is approximately 50 AU from the Sun. According to Kepler’s third law, what is the orbital period of this asteroid in terms of Earth years?
The orbital period of this asteroid is approximately 353.55 Earth years.
What is the orbital period of this asteroid?
Kepler's third law states that the square of the orbital period (in years) of a planet or asteroid is proportional to the cube of its semi-major axis (in AU).
Therefore, we can use the following formula to calculate the orbital period:
(T / 1 year)^2 = (a / 1 AU)^3
where;
T is the orbital period in years, and a is the semi-major axis in AU.Plugging in the values for the asteroid at 50 AU, we get:
(T / 1 year)^2 = (50 / 1 AU)^3
(T / 1 year)^2 = 125000
T / 1 year = √(125000)
T = 353.55 Earth years (rounded to two decimal places)
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Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0.
amplitude 6.45 in., frequency 30 Hz
The function for the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0 is y = 6.45 cos(60π*t).
Moving an object back and forth along a line is known as simple harmonic motion.
See a pendulum, for instance. It follows the same path when we swing it back and forth. Oppositions are what these motions are. A simple harmonic motion example is the oscillations of a pendulum.
[tex]y=Acos(Bt)[/tex]
has amplitude |A| and period 2π/B, and reaches its maximum at t=0.
So we choose A = 6.45
Period = 1/frequency
Period = 2π/B = 1/30
2π/B = 1/30
B = 60π
y = A.cos(Bt)
y = 6.45 cos(60π*t)
Therefore, The function for the simple harmonic motion is y = 6.45 cos(60π*t).
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Distinguish selective attention and habituation?
A yoga instructor weighing 490 N sits, meditating, on a plane that is inclined 20.0° above the horizontal. Find the components of the weight forces that are parallel and perpendicular to the plane.
The vector components of the weight force parallel to the plane is 463.4 N, and the component perpendicular to the plane is 166.8 N upward.
What are the vector components?A quantity which has both magnitude and direction is termed as a vector quantity. It can be divided into two components in 2-dimensional plane: The vertical component and the horizontal component.
The weight force, which is equal to the force of gravity acting on the yoga instructor, has a magnitude of 490 N, which we can decompose into its vertical and horizontal components using trigonometry:
Vertical component = weight force x sin(20°)
= 490 N x sin(20°)
= 166.8 N (upward)
Horizontal component = weight force x cos(20°)
= 490 N x cos(20°)
= 463.4 N (parallel to the plane)
So the component of the weight force parallel to the plane is 463.4 N, and the component perpendicular to the plane is 166.8 N upward.
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Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor.
If the ball bounces straight up and returns to the floor 2.9 s after first striking it, what was the ball's greatest height above the floor?
The ball had a maximum height that was 3.0 meters lower than its initial height (h₀).
How can you determine the ball's greatest height?Before being thrown down, let's call the ball's initial height h0. The ball's height after it was thrown down and bounced back up is called h1.
After being thrown, the ball takes half as long to reach its maximum height (h1) as it does to bounce back to the ground (2.9 s divided by 2 = 1.45 s).
Using the following equation for vertical displacement under gravity's constant acceleration:
y = v₀ × t + (1/2) × a × t²
where:
The initial velocity of the ball, v₀, is negative because it was thrown straight down;
a is the acceleration caused by gravity (9.8 m/s²); and
t is the time it takes for the ball to reach its maximum height (1.45 s).
We can use the equation for velocity under constant acceleration to determine the initial velocity of the ball, v₀ :
v = v₀ + a × t
where:
v is the velocity of the ball at time t (0 m/s since it has reached its maximum height)
Combining the two equations:
0 = v₀ + 9.8 m/s² × 1.45 s
v₀ = -9.8 m/s² × 1.45 s
Substituting the values for v₀ and t into the equation for vertical displacement:
h₁ - h₀ = v₀ × t + (1/2) × a × t²
h₁ - h₀ = (-9.8 m/s² × 1.45 s) × 1.45 s + (1/2) × 9.8 m/s² × (1.45 s)²
h₁ - h₀ = -13.8 m + 10.8 m
h₁ - h₀
= -3.0 m
So, the ball's greatest height above the floor was 3.0 m less than its initial height (h₀).
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pls helpp
Heidi sees a bowl of apples sitting on a table. She knows that if no force acts on that bowl, it will stay right where it is. Which part of Newton's laws of
motion explains why the bowl will stay at rest?
A Objects at rest tend to stay at rest.
OB. Objects in motion tend to stay in motion.
OC. Every action has an equal and opposite reaction.
OD. Larger objects require greater amounts of force to move.
Objects at rest tend to stay at rest as per the Newton's laws of motion. The correct option is A.
What is Newton's laws of motion?The basic three fundamental laws of classical mechanics referred to as Newton's laws of motion describe the ways in which an object's motion and the forces acting on it interact.
The first statement of Newton's laws of motion, which states that "Objects at rest tend to stay at rest, and objects in motion tend to stay in motion, with not only the same speed but also in the same direction.
It takes place unless acted upon by an external force," will lead the bowl of apples to remain at rest.
This rule, often known as the law of inertia, holds that unless an outside force acts upon an object, it will continue to move uniformly in a straight line or be at rest. Since no force is operating on the bowl of apples, it will continue to be at rest.
Thus, the right response is A.
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A coil of wire made of 500 circular loops of radius r=25.0cm is in a uniform magnetic field B=0.200T. The surface of the loop is initially perpendicular to the magnetic field when it is moved within 0.250s such that the surface of the loop then makes an angle of 45 degrees with respect to the magnetic field.
(a) What is the change in magnetic flux, in Tesla-square meters, on the coil of wire?
(b)What is the induced emf, in Volts, on the coil of wire?
Answer:
1.3 and 2.5
Explanation:
I did mental math
Answer:
(a) The change in magnetic flux is equal to the product of the magnetic field strength, the area of the coil, and the cosine of the angle between the magnetic field and the surface of the loop. Therefore, the change in magnetic flux is equal to 0.200T x (π x (25.0cm)^2) x cos(45°) = 7.85 x 10^-3 Tesla-square meters.
(b) The induced emf is equal to the change in magnetic flux divided by the time taken for the change to occur. Therefore, the induced emf is equal to 7.85 x 10^-3 Tesla-square meters / 0.250s = 3.14 Volts.
Quick someone please help this was already due and I need to go to bed plssssssss
The number of amino acids different between sequence 1 and sequence 2 is 2.
The translations of sequence 1 and sequence 2 are different because:
Sequence 1 and 2 have different nucleotide sequencesWhat are nucleotides?Nucleotides are the building blocks of nucleic acids, such as DNA and RNA. They consist of a nitrogenous base, a sugar molecule (ribose or deoxyribose), and a phosphate group. The nitrogenous bases in nucleotides can be adenine, guanine, cytosine, or thymine (in DNA) or adenine, guanine, cytosine, and uracil (in RNA).
Nucleotides are linked together to form long chains, which make up the backbone of nucleic acids. The sequence of nitrogenous bases in nucleotides determines the genetic information stored in DNA.
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IP An expectant father paces back and forth, producing the position-versus-time graph shown in the figure
Calculate the numerical value of the father's velocity for segment C
(part a)
Calculate the numerical value of the father's velocity for segment D.
(part b)
An expectant father paces back and forth. The value of C in units is 1 m/s; The value of D in units is -1.5 m/s.
What is velocity?The speed and direction of an object's motion are measured by its velocity. It is a vector quantity, which means that it has magnitude (or direction) and magnitude (or size). Meters per second (m/s) is a common unit of velocity. It is the rate at which an object moves in a specific direction. Typically, velocity is calculated by taking the time derivative of the position function.
Fathers Velocity for Segment C,
[tex]V_{c}[/tex] = (3- 2)/(3-2)
[tex]V_{c}[/tex] = 1 m/s
Fathers Velocity for Segment D,
[tex]V_{d}[/tex] = (0 - 3)/(5 - 3)
[tex]V_{d}[/tex] = -3/2
[tex]V_{d}[/tex] = - 1.5 m/s
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