In a tight, circular turn, a peregrine falcon can reach a centripetal acceleration that is 1.5 times the acceleration of free fall. The turn's radius is 27.183 m if the falcon is traveling at 20 m/s.
The free-fall accel is just g.
The centripetal accel = 1.5*g = v²/r.
Solve for r.
r = v²/1.5g = 27.183 m
How rapidly a velocity varies in proportion to time is measured as acceleration.
It is a vector quantity. As well as being the second derivative of position with respect to time, it is also the first derivative of velocity with respect to time.
When compared to displacement and velocity, acceleration is like the fierce, fire-breathing dragon of motion variables. Some people are scared of it, it may be harmful, and if it's big, it makes you pay attention. When you're travelling in a vehicle or go-kart rounding a bend quickly or when you're in an aircraft taking off, you can feel your own acceleration.
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A net charge of –1.7 × 10–17 C is established on a gas hob ignition system. Approximately how many excess electrons on the ignition system?
According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.
What exactly is an ignition system?An electric spark is used to ignite the fuel-air mixture in a gasoline engine, and the combustion of this mixture in the cylinders generates the motive force. Related Articles: distributor reluctor breakers spark plug electric starter.
What does the ignition system do?To ignite the mixture of gasoline and air in the engine's combustion chamber at precisely the appropriate moment, the ignition system's primary function is to produce an electric spark.
According to the given information:Given charge = –1.7 × 10⁻¹⁷ C
no. of electrons = (–1.7 × 10⁻¹⁷)/(1.6 × 10⁻¹⁹)
= - 2.72 × 10²
According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.
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earth's main energy inputs are question 41 options: near infrared and far infrared (i.e., longwave radiation). longwave radiation and ultraviolet light. ultraviolet, visible, and near infrared radiation. gamma rays, x-rays, and ultraviolet radiation.
The intricate energy balance of Earth is largely derived from solar radiation. Through the Earth's atmosphere, this radiation is absorbed, deflected, scattered, and transmitted.
What does it reflect?The reflections of light, sound, and water waves are typical examples. In the lake, mirror, and store window, he caught a glimpse of himself. The water's surface reflected the light. More instances. His gold wristwatch gleamed in the candlelight.
What does sound mean?As an apparent mechanical wave, noise is defined by vibrations that move thru the air or the other medium.
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A 1. 5 kg pendulum swings from point A of height yA = 0. 04 m to point B of height YB = 0. 12 m. The
heights are relative to the lowest height.
What is the change in gravitational potential energy from A to B?
The change in gravitational potential energy from point A to point B is calculated to be 1.176 J.
Gravitational potential energy is given by the formula, ΔU = m g h
where,
m is mass of the pendulum
g is acceleration due to gravity
h is change in height
Here, in this problem, m is given as 1.5 kg
g is 9.8 m/s²
h is equal to yB - yA = 0.12 - 0.08 = 0.04 m
The change in gravitational potential energy from A to B is,
ΔU = (1.5 kg)(9.8 m/s²)(0.08 m) = 1.176 J
Thus, the change in gravitational potential energy from A to B is 1.176 Joules.
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a parallel-plate capacitor connected to a battery is fully charged with the switch s closed, as shown in the circuit above. a slab of dielectric constant k > 1 is slowly inserted between the plates of the capacitor. question if the switch remains closed when the slab is inserted, what changes, if any, occur?
The maximum energy density of any battery cell is provided by lithium, an incredibly light metal. This means that they have a higher energy capacity than single-use batteries or alkaline batteries of a similar size.
What is the best type of battery?Lithium batteries are constructed of this very light metal, which has the highest energy density of any battery cell. They are therefore more energy dense than alkaline batteries or any single-use battery of a comparable size.
They also perform well in both hot and cold conditions. A battery is a device that converts chemical energy contained in its active components directly into electric energy using an electrochemical oxidation-reduction (redox) cycle.
This type of reaction uses an electric circuit to transfer electrons from one material to another.
Therefore, The batteries are still linked to the capacitors, and capacitor C1's plates have a constant – dielectric slab put between them.
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which describes the vector calculation of the electric flux through a section of a closed surface?
The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.
The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field.
What is electric flux?
An electric field surrounds an electric charge, such as a solitary electron in space.This electric field is represented graphically as a dot, the charge, emitting "lines of flux."They are referred to as Gauss lines.Please take note that field lines have no physical significance and are merely a graphic representation of field strength and direction.The number of "lines" per unit area, also known as the electric flux density, is inversely proportional to the electric field strength.To know more about electric flux, click the link given below:
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a child is sitting on the outer edge of a merry-go-round that is 18 m in diameter. if the merry-go-round makes 8.3 rev/min, what is the velocity of the child in m/s?
The velocity of the kid is 5.6 m/s, v = w*r where r is the radius, and w is the frequency. We are aware that diameter is 18 m and that it is equivalent to twice the radius. So r = 18m/2 = 9m, v = 5.9*2pi*9m/min, v = (5.9*2pi*9/60) m/s = 5.56 m/s.
Is a giant disk-shaped playground ride known as a merry-go-round?A huge disk positioned to allow it to freely rotate inside a horizontal plane makes up a merry-go-round, a playground ride.The merry-go-round has a mass of 216 kg, a radius of 1.4 meters, and is initially at rest.
What is the merry-go-moment round's of inertia?A merry-go-round with such a moment of inertia of 1210 kg/m2 and a diameter of 2.5 m spins at 1.70 rad/s with very little friction.The platform slows to 1.35 rad/s when a child who is initially standing stationary next to the joyful hops onto its edge while facing the axis of rotation.
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a piece of aluminum foil measures 6.74 cm by 6.86 cm and has a mass 0.326 g. the density of aluminum is 2.70 g/cm3. what is the thickness of the foil in cm? write the answer in standard decimal notation with correct significant figures.
Over-HCl dissolves a piece of tin foil with the dimensions 10.25 cm 5.50 cm 0.600 mm.
What exactly is aluminium foil?A thin sheet of metal that is used to wrap and cover food.
Aluminum foil is frequently used in homes to wrap meals, such as meats, to stop moisture loss while cooking, cover baking surfaces, and store food. Additionally, while grilling more delicate meals like veggies, people would cover them in aluminium foil to protect them.
A HCL is what?At normal temperature and pressure, chlorine HCl a gas composed of the elements h and chlorine, is a gas. Hydrochloric acid is a substance made of the elements water and chlorine, which is a gas, and a solution of a gas in water.
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21. Of the following sources, which supplies the most commercial energy in the world today?A. A. SolarB. B. OilC. C. BiomassD. D. NuclearE. E. Hydroelectric
The most commercial energy in the world is supplied by oil. Option B
Is oil a commercial energy source?Oil is a commercial energy source. Oil, also known as petroleum, is a fossil fuel that is extracted from underground reservoirs and refined into a variety of products, including gasoline, diesel fuel, jet fuel, and heating oil. These products are used to power vehicles, heat homes, generate electricity, and fuel industrial processes, making oil a major source of energy for many countries around the world.
Oil is one of the most widely used energy sources in the world, due to its high energy density, ease of transportation, and versatility in use. It is a non-renewable resource, meaning that it will eventually run out, and its extraction and use have a significant impact on the environment
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a third listener is positioned along the positive y -axis. what is her y -coordinate if the same wave front reaches her at the same instant it does the first two listeners?
The position of third listener is y = 4m if the same wave front reaches her at the same instant it does the first two listeners.
A sound is a vibration that propagates through a medium in the form of a mechanical wave. The medium in which it propagates can either be a solid, a liquid or a gas. Sound travels fastest in solids, relatively slower in liquids and slowest in gases.
Source should be located midway x = −8m and x = 2m .
That is at x = −3m.
For the same wave front to reach at C , SC = SA = SB
[tex]5 = \sqrt{3^2+y^2}[/tex]
y = 4m
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--The complete question is, A point source of sound is located somewhere along the x-axis . Experiments show that the same wave front simultaneously reaches listeners at x=−8m and x=+2.0m . A third listener is positioned along the positive y-axis . What is her y-coordinate (in m) if the same wave front reaches her at same instant as it does the first two listeners? --
5. You are about to skateboard down a long hill. Your initial velocity is 2.0 m/s south. When you reach
the bottom of the hill you are travelling 6.0 m/s south. It took you 57 seconds to reach the bottom of
the hill. What was your displacement?
Answer:
Displacement is the change in position of an object. To find displacement, we can subtract the initial position from the final position. In this case, the initial position is 0 m/s, since you start at rest, and the final position is 6.0 m/s south. So, the displacement is 6.0 m/s south.
from the electric field vector at one point, one can determine which of the following? a. the electrostatic charge at that point. b. the direction of the electrostatic force on a test charge of known sign at that point. c. the magnitude of the electrostatic force exerted per unit charge on a test charge at that point.
The electric field vector at one point is the magnitude of the electrostatic force exerted per unit charge on a test charge at that point.The correct option is: (C) I and II only ,.
When charge is present in any form, a point in space has an electric field that is connected to it. The strength and direction of the electric field are expressed by the value of E, sometimes referred to as the electric field strength, electric field intensity, or simply the electric field. Without any precise information of what generated the field, simply knowing the magnitude of the electric field at a certain location is sufficient to predict what would happen to electric charges nearby.
E = [tex]\frac{F}{q}[/tex]. The vector nature of the equation allows one to find the direction of F and the equation itself allows one to find the ratio F/q, but not q specifically.
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two friends with mass 60.0 kg and 40.0 kg run directly toward each other with speeds 3.0 m/s and 2.0 m/s respectively. if they hold on to each other after they collide, their combined speed just after the collision will be:
If they hold on to each other after they collide, their combined speed just after the collision will be 2.6m/s
Collision: What is it?
When two bodies come into close touch with one another, a collision occurs. In this instance, the two bodies quickly exert forces on one another. The collision changes the energy and momentum of the bodies that are interacting.
For a single pair of objects with equal masses. Each ball will leave the collision with the same speed (or less) as it arrived at if we see the collision of two masses in the frame where their centers of mass are at rest.
Final speed will be 3-2 i.e. 1m/s
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A mug slides across a horizontal counter with initial speed v.It slides off the 0.86m high counter and lands 1.4m from the base.What was its initial speed?
A)0.18 m/s
B)0.43 m/s
C)0.58 m/s
D)2.39 m/s
E)3.34 m/s
The initial speed of the mug was 3.34 m/s. The answer is option E.
The potential energy of the mug when it is on the counter is converted into kinetic energy as it slides across the counter and then into potential energy as it falls off the counter, and finally back into kinetic energy as it moves horizontally towards the base.
mgh = (1/2)mv^2 + mgh_max + (1/2)mv_x^2
where m is the mass of the mug, g is the acceleration due to gravity, h is the height of the counter, v is the initial speed of the mug, h_max is the maximum height reached by the mug, and v_x is the horizontal component of the mug's velocity just before it hits the base.
v = sqrt(2gh + 2gx)
where g = 9.8 m/s^2, h = 0.86 m, and x = 1.4 m.
Plugging in the values and evaluating the expression,
v = sqrt(29.80.86 + 29.81.4) = 3.34 m/s
Therefore, the initial speed of the mug was 3.34 m/s, which corresponds to option E.
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significant figures, or 'sig figs' for short, are important for understanding the precision of a measurement device. if a measurement device, such as a speed sensor, measures 12.34 m/s, how many sig figs does that measurement contain?
The speed is given as 12.34 m/s. It contains 4 number of significant figures or sig figs.
The speed sensor measures the speed as 12.34 m/s.
The initial uncertain or estimated digit and all the digits known with certainty are referred to as the important figures of a measured amount. The first unknown digit is the last digit recorded in a measurement since it makes no sense to report any additional digits after it. When necessary, zeros are utilised to position the important figures correctly.
From the rules for deciding which digits in a measurement are significant, it is said that all non-zero digits in a measurement are significant.
12.34 m/s - contains all non-zero digits
Thus, it contains 4 sig figs.
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a hallway display of energy is constructed in which several people pull on a rope that lifts a block 1.20 m. the display indicates that 0.95 j of work is done. what is the mass of the block?
Many men pulling on a rope to hoist a stone 1.00 m is required to build an electricity display energy in a hallway. The monitor displays 0.5 J of labor as having been finished.
What does the word "energy" mean?
The capacity to perform work is energy. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible. Walking, bicycling, driving, rowing, and using stoves all require the usage of energy from people.
Why is energy necessary, and what is it?
Energy is the capacity to carry out work. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible.
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80 POINTS!! Please show your though process. Picture is attached. Thank you!
Answer:
it's c length of ramp and final speed
what are the lowest frequency the second lowest frequency, and the third lowest frequency for standing waves on a wire that is
The fundamental frequency, or first harmonic, is the lowest frequency at which a string might vibrate and produce a standing wave pattern.
What are the names of the peaks and troughs of a standing wave?In the transverse situation, traveling waves have high points called crests and low points called troughs. In the longitudinal case, traveling waves have compressed points called compressions and stretched points called rarefactions.
What frequency does a standing wave have?Through the equation f = v, where v represents the speed of the waves along the string, wavelength and frequency are connected. The frequency increases with decreasing wavelength for a given value of v.
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HURRY I NEED HELP Question 15 of 25 In which phenomenon does light act as particles? O A. Constructive interference
B. Blackbody radiation
O C. Diffraction
D. Double-slit experiment SIMIT
Blackbody radiation is a phenomenon that exhibit particle nature of light. Correct option is (B).
(a) Interference is a phenomenon in which two waves of same frequency superpose to give resultant intensity different from sum of their separate intensity. So, it cannot exhibit particle's nature of light.
(b) Blackbody radiation is a theoretical concept in quantum mechanics in which a material or substance completely absorbs all frequencies of light. It exhibit particle nature of light.
(c) Diffraction is a phenomenon in which light bends at sharp ends of an obstacle or a hole. So, it also cannot exhibit particle's nature of light.
(d) The double-slit experiment is a demonstration that light and matter can display characteristics of both classically defined waves and particles.
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What effect might spending years working on a construction site have on a person's hearing?
Why?
Spending years working on a construction site can have a negative effect on a person's hearing. This is because construction sites are often loud environments, with the constant sound of heavy machinery and power tools. Over time, exposure to these loud noises can damage the delicate hairs in the inner ear that transmit sound to the brain. This damage can cause hearing loss, which may be temporary or permanent depending on the severity and duration of exposure. Additionally, the use of earplugs or other hearing protection devices may not always be possible, especially if workers need to communicate with each other or are unable to hear warning signals. This makes it even more important for workers to take steps to protect their hearing, such as wearing ear protection when possible and limiting exposure to loud noises.
if an emission line from a distant star is measured to have a wavelength of 497.15 nm, but is normally at 497.21 nm how fast (speed, not velocity) with respect to the earth is the star moving in m/s?
Speed = (497.15 - 497.21) x 2.9979 x 10^8 m/s = -7.41 x 10^7 m/s
The speed of a distant star relative to the Earth is determined by calculating the difference between the measured wavelength of a certain emission line and the normal wavelength of that emission line, then multiplying that difference by the speed of light. In this case, the measured wavelength is 497.15 nm, and the normal wavelength is 497.21 nm, so the difference is -0.06 nm. Multiplying this difference by the speed of light (2.9979 x 10^8 m/s) yields a negative speed of -7.41 x 10^7 m/s, indicating that the star is moving away from the Earth.
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a football player runs from his own goal line to the opposing team's goal line, returning to his forty-yard line, all in 20.0 s. calculate his average speed and the magnitude of his average velocity. (enter your answers in yards/s.)
The average velocity would be zero because the player is running from his own goal line to the opposing team's goal line and then returning to his forty-yard line. The displacement is zero.
What is the average ?The average is a measure of the central tendency of a set of numbers. It is calculated by adding all the numbers in the set and then dividing by the number of values in the set. The average can be used to compare sets of data and to draw conclusions about the data. It is often used to measure the overall performance of a group or to identify trends in the data.
Average Speed =
400 yd/20.0 s = 20 yd/s
Average Velocity =
The average velocity would be zero because the player is running from his own goal line to the opposing team's goal line and then returning to his forty-yard line. The displacement is zero since the net change in position is zero. Therefore, the average velocity would be zero.
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a tube open at both ends has a fundamental frequency of 400 hz. what is the 2nd lowest standing wave frequency possible when one side o the tube is sealed?
The 2nd lowest standing wave frequency possible when one side o the tube is sealed is 600 Hz.
What is frequency?In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.
When a body in periodic motion goes through a series of events or positions before returning to its initial state, it is said to have experienced one cycle or one vibration.
Fundamental frequency of tube open = 400 Hz.
Hence, the 2nd lowest standing wave frequency possible when one side o the tube is sealed is = 400 × (1 + 1/2) Hz
= 600 Hz.
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A 1=2.40 μF
capacitor is first charged by being connected across a battery with voltage b=8.00 V.
It is then disconnected from the battery and connected across an uncharged capacitor with capacitance 2=5.60 μF.
Calculate the final charge 1,f
and 2,f
on 1
and 2,
respectively.
The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.
What do you mean by charge ?When placed in an electromagnetic field, the physical property of matter known as electric charge causes it to experience a force.
Positive and negative electric charges are the two types of charges that charge carriers, protons and electrons, commonly carry. The movement of charges produces energy.
The initial charge on the first capacitor, 1, can be calculated using the formula as follows:
Q = C × V
where,
Q is the charge,
C is the capacitance, and
V is the voltage.
By substituting the values, we get:
Q = 2.40 μF × 8.00 V
= 19.2 μC
Let's call the final charge on the first capacitor 1,f and the final charge on the second capacitor 2,f.
So, the two capacitors are now connected in parallel, their equivalent capacitance is C_eq :
C_eq = C1 + C2
C_eq = 2.40 μF + 5.60 μF
= 8.00 μF
The final charge on the equivalent capacitance is equal to the initial charge on the first capacitor,
Q_eq = Q1,f = 19.2 μC
From this, we can calculate the final charge on each capacitor:
Q1,f = (C1 / C_eq) × Q_eq
Q1,f = (2.40 μF / 8.00 μF) × 19.2 μC
= 7.20 μC
Q2,f = (C2 / C_eq) × Q_eq
Q2,f = (5.60 μF / 8.00 μF) × 19.2 μC
= 12.00 μC
Thus, The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.
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20 points !!! An infrared wave traveling at the speed of light has a wavelength of 2x10^-5 m. Calculate the frequency of this wave.
Answer:
f=1.5MHz or f=1500Hz
Explanation:
f=v/λ
3×10⁸/2×10-⁵
f=1500Hz
f=1.5MHz
if you remove one haltere from a fly, it will fly straight up until it runs out of energy. group of answer choices true false
According to mechanics, the claim that if you take one haltere off a fly, it will fly straight up until it runs out of energy is untrue.
What is meant by mechanics?
Physics' section of mechanics studies how objects move when subjected to forces or displacements and how those movements affect the surrounding environment. Quantum Fields and Classical Fields are the two subdisciplines.
What does engineering mechanics entail?
The study of mechanics focuses on how bodies or sections of bodies interact with one another due to applied forces. The area of mechanics known as dynamics focuses on the study of moving objects.
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a flashlight battery has a rating of 1.6 ampere-hours (ah) over a period of 14 hours. note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. problem 01.026.a how much constant current can it deliver over 14 hours? the current that can be delivered over 14 hours is ma.
As battery is rated for 1.6 Ah, it delivers maximum current of 1.6 Ah / 14 hours = 0.114 A over 14 hours. Assume battery is fully charged.
An ampere-hour, or Ah, is a measure of the charge stored in a battery and can be used to calculate the maximum current that can be drawn from the battery over a certain time period.
The amount of current that can be delivered over 14 hours by a 1.6 Ah battery can be calculated by dividing the battery's capacity by the time period:
I = Q / t
where I is the current, Q is the charge stored in the battery (1.6 Ah), and t is the time period (14 hours).
Since the battery is rated for 1.6 Ah, it can deliver a maximum current of 1.6 Ah / 14 hours = 0.114 A over 14 hours. This assumes that the battery is fully charged and that no other losses, such as internal resistance or self-discharge, are taken into account.
It's important to note that the actual current that can be delivered may be lower than the calculated value, especially as the battery discharges. The actual current will depend on various factors, including the battery's internal resistance, the voltage drop across its terminals, and the load applied to the battery.
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1) what is the power output in watts of an incandescent light bulb which puts out 100 joules of energy every 1 second
2) why does a 100 watt light bulb look brighter than a 60 watt light bulb ?
1. The power output in watts of an incandescent light bulb can be calculated by dividing the energy output (in joules) by the time interval (in seconds) during which the energy is produced.
In this case, the light bulb is producing 100 J of energy every 1 second, so the power output can be calculated as:
Power output (P) = Energy output (E) / Time interval (t) = 100 J / 1 second = 100 Watts
2. A 100-watt light bulb looks brighter than a 60-watt light bulb because it produces more energy and therefore emits more light. The brightness of a light bulb is directly proportional to the energy it produces.
A 100-watt light bulb produces more energy (and therefore light) than a 60-watt light bulb, so it appears brighter.
However, it is important to note that the perceived brightness of a light bulb can also be affected by other factors such as the color temperature of the light, the size of the bulb, and the reflectiveness of the surrounding area.
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when startled, an armadillo will leap upward. suppose it rises 0.544 m in the first 0.200 s. (a) what is its initial speed as it leaves the ground? (b) what is its sp
(a) The initial speed as the armadillo leaves the ground is calculated to be 3.7 m/s.
(b) The speed of the armadillo at the height 0.544m is 1.74 m/s.
The height reached by the armadillo is 0.544 m.
The time taken is 0.2 s.
Let us use the equation of motion, s = u t + 1/2 g t²
Here, it is moving upward so, g is - 9.8 m/s².
Enter the values into the above equation, s = u t + 1/2 g t²
0.544 = u(0.2) - 1/2 (9.8) (0.2)²
0.2 u = 0.544 + 4.9(0.2)²
0.2 u = 0.74
Initial velocity u = 3.7 m/s
Initial speed with which it leaves the ground is 3.7 m/s.
(b) Let us find the speed at h = 0.544 m
v² - u² = 2 a s
v² = u² + 2 a s
v² = 3.7² + 2 (-9.8)(0.544)
v² = 13.69 - 10.66
v² = 3.03
v = √3.03 = 1.74 m/s
Thus, the speed of the armadillo at the height 0.544m is 1.74 m/s.
The given question is incomplete. The complete question is '(b) What is its speed at the height of 0.544 m?'
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a bug starts walking away from the top of a spherical ball of ice and will start to slip when the normal force exerted on it drops to 1/2 of its weight. if the ice ball has a diameter of 38.0 cm, how far can the bug walk before it begins to slip?
The required value of distance the bug walks before it begins to slip is calculated to be 19.89 cm.
The normal force drops to half of the weight, F = 1/2 m g
where,
m is mass
g is acceleration due to gravity
The diameter of the spherical ball d = 38 cm
The value of the normal force is, F = m g cosθ
Equating both the equations of F, we have,
1/2 m g = m g cosθ
cosθ = 1/2
θ = π/3
The relation to find out distance is,
x = r θ = d/2 (θ)
Putting the values into the equation,
x = 38/2 (π/3) = 19.89 cm
Thus, the value of distance is calculated to be 19.89 cm.
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A 940 kg elevator is moving at a constant velocity up. What is the tension in the cable?
The tension in the cable while the elevator is moving at a constant velocity up is supposed to be 11000N.
What do you mean by velocity?
The direction of movement of the body or object is defined by velocity. Speed is fundamentally a scalar quantity. Velocity is, in essence, a vector quantity. It is the rate at which distance changes. It is the displacement rate of change.
So,
The tension in the cable is given,
T=m(g+a)
By substituting the values of mass and acceleration given in the question we get
T=1000×(10+1)
=11000N
Hence, the tension in the cable is 11000N.
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Complete question:
A person of mass 60kg is inside a lift of mass 940kg and present the button of control panel. The lift starts moving upwards with an acceleration [tex]1.0m/s^{2}[/tex]. If g=[tex]10ms^{-2}[/tex], the tension in the supporting cable is -