The link between short-term and long-term interest rates is referred to as the structure.
The term structure of interest rates reflects the market players' expectations for future changes in interest rates as well as their evaluation of the monetary system. Future cash flows' present values and timing are affected by changes in interest rates. The underlying value of a bank's assets and liabilities is subsequently altered. Real rate of interest, inflation premium, and interest rate risk premium are the three key factors that affect how term structures are shaped. Pure time value of money determines the real rate of interest. The necessity for compensating for anticipated future inflation gives rise to the inflation premium.
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a spring is hung from the ceiling. when a block is attached to its end, it stretches 2.3 cm before reaching its new equilibrium length. the block is then pulled down slightly and released. for help with math skills, you may want to review: solving radical equations for general problem-solving tips and strategies for this topic, you may want to view a video tutor solution of mass on a spring.
The length of a multi-mode optical fiber required to achieve an static mode dispersion from with a particular excitation state is referred to as the equilibrium length in some cases.
Equation of state equals balance?Equilibrium is the condition in which all of the forces acting on a body are perfectly balanced and the body is immobile. An object is considered to be in an equilibrium state when all of the forces acting on it are equal and in balance. Equilibrium is the state of a thing at rest.
What 3 categories of equilibrium exist?Equilibrium comes in three flavors: neutral, unstable, and stable. Figures are used to illustrate numerous examples throughout this module. A balanced system is shown in Figure 1 as a toy doll on a man's hand, that has its gravity center exactly over the pivot and zero torque due to the total weight.
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Aristotle represents what
Aristotle is a towering figure in ancient Greek philosophy, who made important contributions to logic, criticism, rhetoric, physics, biology, psychology, mathematics, metaphysics, ethics, and politics.
A 7.5 kg box is sitting on a scale in an elevator. Before the elevator moves, the scale reads 73.58 N. When the elevator accelerates into motion, the scale momentarily reads 76.25 N. If the magnitude of the acceleration due to gravity is 9.81 m/s2, what is the acceleration of the elevator?
Group of answer choices
0.85 m/s2
0.36 m/s2
0.27 m/s2
0.59 m/s2
The acceleration of the elevator is 0.59 m/s^2.
What is acceleration?Acceleration is the rate of change of the velocity of an object with respect to time.
The acceleration of the elevator can be found using Newton's second law of motion, which states that the net force on an object is equal to its mass times its acceleration (F = ma). In this cases, the difference between the two readings on the scale is equal to the net force acting on the box, which includes the gravitational force and the upward force due to the acceleration of the elevator.
F = ma = (76.25 N - 73.58 N) / 7.5 kg = 0.59 m/s^2
Therefore, the acceleration of the elevator is 0.59 m/s^2.
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A storm system moves 5000km due east, then shifts course at 40 degrees north of east for 1500km. Calculate the storm’s resultant displacement
suppose you carry a box of mass 8m a distance of d, and another box of mass 3m a distance of 2d in the same amount of time. compare the work done and power required.
The work done and power required for mass1 is more when compared to mass2. workdone of mass1 and mass2 are 8mgd & 6mgd. Power required of mass1 and mass2 are 8mgd/t & 6mgd/t.
How is the velocity of work related?vi is the beginning speed of an item in metres per second. In accordance with the work-energy principle, a particle's change in kinetic energy is equivalent to the sum of all the loads exerted on it, or the work of the force applied F(in subscript resultant).
Mass1 = 8m; d1 => d
Mass 2 = 3m; d2=>2d
The time take for both the mass to travel is same.
Work done by mass1 = m1xgxd1
=> 8mgd
Work done by mass2 = 3mxgx2d
=> 6mgd
Power required mass1 => W/t = 8mgd/t
mass2 => W/t => 6mgd/t
What is power, exactly?In science and engineering, power is the rate during which work is completed or energy is delivered. It may be expressed as the product of the work completed (W) or the energy transferred (E) divided by the time interval (t), or W/t.
What drives the action of force x distance?Every time a force pushes something over a distance, work is done. By multiplying the force by the distance travelled in the force's direction, you may calculate the energy transferred, or work done.
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wind energy is increasingly relied upon to help meet global energy needs. wind energy can be used to generate electricity using wind turbines. question which of the following best describes electricity generation using wind turbines?
The best describes electricity generation using wind turbines is: Wind turbines can be constructed on either vertical or horizontal axes. The correct option is B.
Axes of wind turbines can be either vertical or horizontal; there are benefits (and drawbacks) to each type. Turbines aligned on a horizontal axis are the primary type seen and are common in large-scale operations. Turbines with vertical axis blades are perpendicular to the ground and work well in more extreme conditions.
What is wind energy?Wind energy refers to the process of creating electricity using the wind, or air flows which happen naturally in the earth's atmosphere. Wind energy is produced by wind power. Modern wind turbines are used to collect kinetic energy from the wind and generate electricity.
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Although part of your question is missing, you might be referring to this full question: Wind energy is increasingly relied upon to help meet global energy needs. Wind energy can be used to generate electricity using wind turbines. Which of the following best describes electricity generation using wind turbines?
a. Newer wind turbines can generate consistent electricity even when there is no wind.
b. Wind turbines can be constructed on either vertical or horizontal axes.
c. Wind turbines are rarely used offshore because they tend to float in rough seas.
d. Wind turbines can be used by individual homeowners but have limited effectiveness when connected to the electrical grid.
which of the following interactions is the primary influence on the interaction between hydrophobic molecules in water? group of answer choices hydrogen bonding interactions electrostatic interactions covalent interactions van der waals interactions hydrophobic effect
The primary influence on the interaction between hydrophobic molecules in water is the E: "hydrophobic effect".
The hydrophobic effect refers to the tendency of hydrophobic (water-fearing) molecules to aggregate and minimize their exposure to aqueous environments, such as water. This interaction is primarily driven by van der Waals forces, which are weak attractive forces that occur between neutral molecules.
The hydrophobic effect is important in biochemistry as it plays a role in stabilizing the structures of proteins, lipids, and other biological molecules. By aggregating and reducing their exposure to water, hydrophobic molecules increase the stability of the overall structure, helping to preserve its functional integrity.
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which of the following is a term that can be used instead of dorsal? view available hint(s)for part e which of the following is a term that can be used instead of dorsal? distal ventral posterior lateral
Dorsal (i.e., posterior) refers to the back region of the human body. So the correct term used is posterior.
Why is it called Dorsal?Dorsal (anatomy), an anatomical phrase of location refers to the back or upper side of an organism or sections of an organism (from Latin dorsum 'back').To describe the anatomy of animals, including humans, standard anatomical words of location are utilised. The phrases, which are often derived from Latin or Greek roots, describe an object in its normal anatomical position. This position defines what is in front ("anterior"), behind ("posterior"), and so on. The body is defined using anatomical planes and anatomical axes as part of defining and characterising concepts.
The meaning of words can vary depending on whether an organism is bipedal or quadrupedal. Furthermore, some phrases may have no meaning at all for other creatures, such as invertebrates; for example, an animal that is radially symmetrical will have no anterior surface, but can still have a description that a component is close to the middle ("proximal") or distant from the middle ("distal") ("distal").
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satellite of mass m is in an elliptical orbit around the earth, which has mass me and radius re. the orbit varies from a closest approach of distance a at point a to maximum distance of b from the center of the earth at point b. at point a, the speed of the satellite is vo. assume that the gravitational potential energy ug
The velocity will be 9.32 m/s.
The gravitational potential energy (Ug) of the satellite can be calculated using the formula where G is the gravitational constant (G = 6.67 x 10⁻¹¹ Nm²/kg²), Me is the mass of the Earth, M is the mass of the satellite, and r is the distance between the center of the Earth and the satellite.
At point a, the distance between the center of the Earth and the satellite is equal to a, so Ug can be calculated as:
Ug = -G x (Me x M) / a
At point b, the distance between the center of the Earth and the satellite is equal to b, so Ug can be calculated as:
Ug = -G x (Me x M) / b
The difference in gravitational potential energy between point a and point b is given by:
Ug(b) - Ug(a) = G x (Me x M) x (1/b) - This difference in potential energy is equal to the change in kinetic energy as the satellite moves from point a to point b, since the total energy of the system is conserved. The kinetic energy at point a can be calculated using the formula:
Ke = 0.5 x m x v0
where m is the mass of the satellite and v0 is the velocity of the satellite at point a. The velocity can be calculated using the equation of motion for a satellite in orbit:
at point a, the velocity can be calculated as:
v0 = (G x Me / a)
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What happens to the period of the Earth if the mass of the Earth is reduced to ½?
What happens to the period of the Earth if the mass of the Earth is doubled?
If the mass of the Earth is reduced to ½, time period increases √2 times.
If the mass of the Earth is doubled, time period decreases 1/√2 times.
What is time period?The Time Period is the length of time required for a single full oscillation to take place. T stands for it. Seconds are its measure.
Time period of earth's rotation is inversely proportional to the square root of mas of the Earth.
Hence,
if the mass of the Earth is reduced to ½, time period increases √2 times.
If the mass of the Earth is doubled, time period decreases 1/√2 times.
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suppose relfected white light is sued to observe a thin trasnpacrent coating on glass as the cotating materisl is gradualy depositted
As the coating material is gradually deposited, a transparent thin coating is visible on glass that reflects white light.
What are the different forms of coating?According on the composition of their binder, coatings are classified as organic or inorganic. Coatings with an organic binder are known as organic coatings. Coatings classified as inorganic contain an inorganic binder, such as a silicate.
Why is coating applied to glass?Glass surfaces were coated for a variety of reasons, including stability, convenience, and safety. The both glass surface as well as the coating must be ready for the coating procedure in order for the coating to be consistent and long-lasting.
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A 508g mass oscillates with an amplitude of 13.0cm on a spring whose spring constant is 23.0N/m . A. Determine the period T= ....... s B. Determine the maximum speed Vmax= ...... m/s C. Determine the total energy Wtotal= ........ J
The period T = 0.933 sec ; The max speed Vmax = 0.87m/s; The total energy or work done = 0.211J.
Is time a fixed quantity in SHM?For a single particle conducting SHM, the only constant is its periodic time, or simply time period. Due of the solutions' flexibility in scaling, the period remains constant. Therefore, you can scale this motion upward or downward by any factor s and still obtain a valid motion s if you have any valid motion (t) representing the pendulum's angle as a function of time t. (t).
K= string constant = 23N/m
Amplitude a => 13 cm
Mass = 508g
T= 2π√(m/k)
=> 2π √(0.508/23) => 0.933 sec
Maximum speed => √(k/m) x a
=> √(23/0.508) x 0.13
=> 0.87m/s
The total energy of string => 1/2 k a^2
=> 1/2 x 23x 0.13^2
=> 0.211J
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consider the case of a student wishing to determine the spring constant for a spring by measuring the oscillation of a mass on the spring
Use the following formula to get an oscillator's period:
T = 2π √(m/k)
where T denotes the time, m denotes the object's mass, and k denotes the spring constant.
Fill in the formula with the measured value of T and the known value of m, then find k. The spring constant is thus shown.
The length of time it takes for an oscillator to complete one full cycle of motion is known as the oscillator's period. It is used to characterise the frequency of any oscillating system and is a fundamental feature of oscillating systems. The period of a mass on a spring is the length of time it takes for the mass to oscillate between its maximum displacement and its minimum displacement before returning to its maximum displacement. The formula T = 2 (m/k) can be used to determine the period of a simple harmonic oscillator, such as a mass on a spring. T stands for the period, m for the object's mass, and k for the spring constant. An oscillator's cycle time.
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you are told to use gauss' law to calculate the electric field at a distance r away from a charged cube of dimension a. which of the following gaussian surfaces is best suited for this purpose?a sphere of radius R+ a/2a cube of dimension R + a/2a cylinder with cross sectional radius of R + a/2 and arbitrary lengthThis field cannot be calculated using Gauss' lawNone of the above
The best suited Gaussian surface for this purpose would be a sphere of radius R + a/2. Gauss' law states that the electric flux through any closed surface is proportional to the charge enclosed within that surface.
In this case, using a sphere as the Gaussian surface will enclose the entire charged cube, making it easier to calculate the electric field. The size of the sphere (R + a/2) should be chosen such that it is large enough to encompass the charged cube, but not so large as to include any other charged objects that might affect the electric field calculation. A Gaussian surface is a hypothetical surface used in physics to calculate the electric flux through a closed surface. Gaussian surfaces are often chosen for their symmetry and simplicity, and are used in conjunction with Gauss' law to calculate the electric field at a point in space. The electric flux through the Gaussian surface is proportional to the charge enclosed within the surface, and by measuring the electric flux, the electric field at the point of interest can be calculated.
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a pair of figure skaters are performing a spin maneuver. The axis of rotation goes through the left foot of the skater on the left. What
action could increase the pair's angular velocity?
Answer:
Angular momentum
Explanation:
Angular momentum is a conserved physical quantity, similar to the way that energy is a conserved quantity
the 20-kg chandelier is suspended from the wall and ceiling using rods ab and bc , which have diameters of 3 mm and 4 mm , respectively. (figure 1)
So the angle u required to have the same average normal stress in both rods is tan^(-1) (16/9).
What is stress?In physics, stress is defined as the force acting on a material's unit area. Strain is the term used to describe the effect of stress on the body. Stress can cause physical deformities. The total force exerted per unit area is defined as stress. In terms of units, stress equals pressure (Newtons per meter).
Here,
The average normal stress in both rods can be calculated using the equation for stress, σ = F/A, where F is the force and A is the cross-sectional area. The force can be calculated from the weight of the chandelier, W = m * g, where m is the mass and g is the acceleration due to gravity.
Let's call the angle between the rod AB and the vertical axis u. The forces in the two rods can then be calculated as follows:
F_AB = W * sin(u)
F_BC = W * cos(u)
Next, we need to find the cross-sectional area of each rod:
A_AB = π * (d_AB/2)^2
A_BC = π * (d_BC/2)^2
where d_AB and d_BC are the diameters of rods AB and BC, respectively. Substituting these values into the equation for stress:
σ_AB = F_AB / A_AB
σ_BC = F_BC / A_BC
For the average normal stress in both rods to be the same, we need to set σ_AB = σ_BC and solve for the angle u:
σ_AB = σ_BC
F_AB / A_AB = F_BC / A_BC
W * sin(u) / (π * (d_AB/2)^2) = W * cos(u) / (π * (d_BC/2)^2)
Solving for the angle u, we find:
tan(u) = (d_BC/2)^2 / (d_AB/2)^2 = (4/3)^2
u = tan^(-1) (16/9)
So the angle u, such that the average normal stress in both rods is the same, is equal to tan^(-1) (16/9).
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complete question:
The 20-kg chandelier is suspended from the wall and ceiling using rods AB and BC , which have diameters of 3 mm and 4 mm, respectively. Determine the angle u so that the average normal stress in both rods is the same.
Figure 5.2 shows a picture of a barometer. Which of the following statements is the best explanation of how this barometer works? a. Air pressure outside the tube causes the mercury to move in the tube until the air pressure inside and outside the tube is equal. b. Air pressure inside the tube causes the mercury to move in the tube until the air pressure inside and outside the tube is equal. c. Air pressure outside the tube counterbalances the weight of the mercury in the tube. d. Capillary action of the mercury causes the mercury to go up the tube.e. The vacuum that is formed at the top of the tube holds up the mercury.Justify your choice, and for the choices you did not pick, explain what is wrong with them. Pictures help!
The best explanation of how the barometer in Figure 5.2 works is Air pressure outside the tube causes the mercury to move in the tube until the air pressure inside and outside the tube is equal. Correct answer: letter A.
This is demonstrated in the diagram below, where the atmospheric pressure is represented by the red arrows, and the mercury is represented by the blue arrows:
Option B is incorrect because it is the air pressure outside the tube that causes the mercury to move in the tube. Options C and D are incorrect because the air pressure is the primary factor in causing the mercury to move in the tube, not the weight or capillary action of the mercury.
Option E is incorrect because it is the air pressure that causes the mercury to move in the tube, not a vacuum.
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Using the right-hand rule, in which direction will the single wire move, and in which direction will the loop rotate?
Single Wire moves down, loop rotates left.
About single wireA single-wire system is a method of transmitting power or signals using only a single conductor. This is in contrast to the usual use of a pair of wires to provide a complete circuit, or an electrical cable containing (at least) two conductors for this purpose.
A single-wire transmission line is not the same as a single-wire earth return system. This is beyond the scope of this article. The latter system relies on reverse current flow through earth, using earth as a second conductor between earth terminal electrodes. A single-wire transmission line does not have a second conductor of any kind.
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consider sitting in the front seat of a car. the visible light reflected off of the car's hood is... consider sitting in the front seat of a car. the visible light reflected off of the car's hood is... a. ...preferentially polarized. b...of the color (wavelength) that you perceive your car as being. c. ...randomly polarized. both a and b both b and c none of the above
Think about driving with the front seat occupied. Polarization is preferred in the visible light that is reflected off the car's hood.
When observing a light source that emits light that is randomly polarized through a linear polarizer?when observing a light source that emits light that is randomly polarized through a linear polarizer. As the polarizer is turned 360 degrees, the light intensity will stay constant and match that of the initial light source.
What happens to unpolarized light when a linear polarizer is placed in front of it?A linear polarizer is anything that, when used with an incident unpolarized beam, generates a beam of light with an electric vector that vibrates largely in one direction and just a little portion of it in the opposite direction.
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What is the gravitational force between two students if one has mass 75 kg and the other has mass 54 kg, and their centers are separated by a distance of 0.45 m?
The gravitational force between two students is 5.336*10^-8 N.
According to universal gravitational law, the force acting on two bodies is given by the formula = F = (G *m1*m2)/r^2
Here mass of one student =m1=75kg,another student m2=54kg
Distance of separation =0.45m, r =0.45/2=0.225m
Force = 6.67*10^-11 (75*54)/(0.225)^2
F=5.336*10^-8 N
The force between two students is 5.336*10^-8 N.
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1.How is the frequency of a wave determined?
2. What is the period of a wave?
3. How do the frequency and period of a wave relate together?
4. What do mechanical waves require in order to transfer energy?
5. What are waves called that do not require a medium through which to travel?
) through which to travel.
6. The speed of mechanical waves depend upon the (
7. How do the direction of vibration and the direction of motion of a longitudinal wave compare?
8. How do the direction of vibration and the direction of motion of a transverse wave compare?
A wave is an energetic disturbance in a medium that doesn't include any net particle motion.
What are waves?
No physical thing travels along a wave as it carries information or energy between two points in the form of signals. A time factor is added to the equation to determine a wave's frequency. All of our wireless communications are entirely dependent on waves.
1. The number of wave crests (high points) that pass the fixed point in one second, or in any other time interval, can be used to calculate the frequency of a wave.
2. The time it takes for two successive crests (one wavelength) to pass a specified point.
3. They are related inversely f= 1/t
4. mechanical waves require medium.
5. Electromagnetic waves.
6. Medium
7. Parallel
8. Perpendicular
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Ancient astronomers knew about precession of the _, which means that as time passes, it points at a different O ecliptic, planet O north celestial pole, star O north pole, planet O celestial equator, star
Ancient astronomers knew about precession of the equinoxes, which means that as time passes, it points at a different star.
The north celestial pole currently points to within just 1° of the star Polaris. The North Pole of the Earth and the celestial equator are two other points of reference that ancient astronomers used to observe and measure the stars.
Precession of the ecliptic is a slow, continuous change in the orientation of Earth's axis of rotation, which causes the direction of the north celestial pole to slowly change over time. This phenomenon is caused by a combination of gravitational forces from the Sun, Moon, and other planets.
The north and south celestial poles are the two points in the sky where Earth's axis of rotation, indefinitely extended, intersects the celestial sphere.
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An airplane is flying at an altitude of 5mi on a straight path that will take it over a radar tracking station. If the distance sbetween the plane and the radar station is decreasing at a rate of 380mph when s=8, what is the speed of the plane? Keep your answer in rational form and omit units.
The speed is 608 mph for the airplane.
What is the speed of the plane?We can see that the question that we have here is a case of a direct variation. We have been told that the speed of the plane and the distance that have been covered are both decreasing and thus we can be able to write the proportionality that;
s α d
Where s is the speed and d is the distance
We then have that;
k = s/d
k = 380/5
= 76
At d = 8
s = 76 *8
s = 608 mph
The speed of the plane can be seen as 608 mph.
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The speakers are now allowed to have different phase constants. They are adjusted so that you hear interference maxima when the adjustable speaker is at x = 0.6 m and again when it is at x = 1.05 m. What is the difference in the phase constant between the two speakers in rad?
Because of the distance between the and the in part A, the wavelength would be 0.6 m, thus my frequency would be 343 m/s / 0.6 m = 571.67 Hz (correct).
What does a wave's phase mean?A phase in electrical signalling is a wave's location on a waveform cycle at a specific instant in time. It offers a measurement in either degrees (0-360) or radians (0-2), depending on where the wave is in its cycle. A phase is one radian, or around 57.3 degrees.
Waves can group together into what are known as wave packets, and the speed at which a wave packet moves is referred to as group velocity. Phase velocity refers to the speed at which a wave's phase moves.
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while sitting on a dock of the bay, you notice a series of waves going past. you observe that 11 waves go past you in 45 s and that the distance from one crest to the next trough is 3.0 m.
The period of the wave is 4.1s and the speed of these waves is found to be 1.44m/s.
What is the formula for the relationship between frequency and velocity?A wave's fundamental property is frequency. It is a method for determining how many waves pass through a point in a certain amount of time. The distance that a point on a wave moves determines its velocity. The relation between frequency and velocity for every wave is normally proportional.
Period = T= t/n = 45/11 = 4.1s
Frequency => f = 1/T => 1/4.1 => 0.24Hz
The distance from one crest to the next trough is mentioned as 3.0 m. Hence, The wavelength λ = 2 x 3m = 6m
Speed of the wave v = λ xf => 6x 0.24 => 1.44m/s
How many waves of water pass a particular location in a given time?Wave frequency is the quantity of waves that move past a specific place in a specified amount of time. The number of wave crests (high points) that pass the reference position in one second, or in any other time interval, can be used to calculate the frequency of a wave. The frequency of the waves rises as the number rises.
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while sitting on a dock of the bay, you notice a series of waves going past. you observe that 11 waves go past you in 45 s and that the distance from one crest to the next trough is 3.0 m.
Find the (a) period, (b) frequency, (c) wavelength, and (d) speed of these waves.
Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910 m in Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 4.0 m/s and enjoys a free fall until she is h = 150 m above the valley floor, at which time she opens her parachute.
So the jumper falls from the summit of El Capitan to a height of 150 m in 4.1 seconds, at which time she releases her parachute.
What is free fall?An item falling in a vacuum is subject to just one external force, gravitational force, which is quantified as the object's weight. A free falling object is one that moves only due to the effect of gravity, and its motion is defined by Newton's second law of motion. A body is considered to be in freefall when it moves only under the influence of Earth's gravity. The ball's motion will be accelerated by an external force operating on it. This free-fall acceleration is also known as gravity acceleration.
Here,
The time taken for the free fall from the top of El Capitan to a height of h = 150 m can be calculated using the kinematic equation:
h = vi * t + (1/2) * g * t^2
where h is the height, vi is the initial vertical velocity (0 m/s), g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken. Solving for t, we get:
t = sqrt(2 * h / g)
Plugging in h = 150 m and g = 9.8 m/s^2, we get:
t = sqrt(2 * 150 m / 9.8 m/s^2)
t = 4.1 s
So, it takes 4.1 seconds for the jumper to fall from the top of El Capitan to a height of 150 m, at which point she opens her parachute.
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for two shells fired at the same speed which statement about the horizontal distance traveled is correct
The statement A: "The shell fired at an angle closest to 45 degrees lands farther away" is correct.
A shell fired at an angle closest to 45 degrees will travel the farthest horizontal distance compared to a shell fired at a different angle. This is because the shell fired at 45 degrees will have a greater horizontal component to its velocity, allowing it to travel farther horizontally.
At an angle closest to 90 degrees, the shell will have a very small horizontal component to its velocity, resulting in a smaller horizontal distance traveled. The trajectory of a shell fired at an angle depends on the speed and angle of launch, as well as the forces acting upon it such as air resistance.
"
Complete question
for two shells fired at the same speed which statement about the horizontal distance traveled is correct
A: The shell fired at an angle closest to 45 degrees lands farther away
B: The shell fired at an angle closest to 90 degrees lands farther away
"
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consider the following problem. find the distance traveled in 23 seconds by an object traveling at a constant velocity of 21 feet per second. decide whether the problem can be solved using precalculus, or whether calculus is required. if the problem can be solved using precalculus, solve it. if the problem seems to require calculus, use a graphical or numerical approach to estimate the solution.
Answer:
Below
Explanation:
Precalculus, pre-algebra math can be used to solve this
21 f/ s * 23 s = 483 ft
to find the distance traveled, use the formula that expresses the distance d in terms of the velocity r and time t.True or False
When using a constant velocity, the equation for length as a time function is the simplest. Therefore, D(t) = Vt Read "distance... " where D(t) is distance.
How do you calculate the distance travelled?
Just use formula that defines the distance (d) in term of the velocity (r) and time (t) to determine the distance travelled. False or True Use the formula d = str, or distance equal speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles an hour or kilometres per hour, rate and velocity are comparable.
How do you calculate the distance travelled?
Use the equation that gives to determine the distance travelled in this example
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Answer:
True
Explanation:
the answer is true
A kangaroo can jump over an object 2.20 m high with a vertical speed of 6.57 m/s. how long is it in the air
The kangaroo is in the air for approximately 0.667 seconds.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
A kangaroo with a vertical speed of 6.57 m/s may jump over an object 2.20 m high.
To find the time a kangaroo is in the air, we need to calculate the time it takes to reach the peak of its jump and then double that time (to account for both the ascent and descent).
We can use the formula for vertical motion under constant acceleration (g = 9.8 m/s²):
t = √(2h / g)
where h is the height of the jump (2.20 m) and g is the acceleration due to gravity (9.8 m/s²).
Plugging in the values, we get:
t = √(2 × 2.20 m / 9.8 m/s²)
t = √(0.447)
t ≈ 0.667 s
So the kangaroo is in the air for approximately 0.667 seconds.
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