The kinetic energy of the bowling ball of weight 70 N is 1050 J, and the velocity of the ball the moment before it hits the ground is 17.15 m/s.
What is kinetic energy?This is the energy of a body in motion.
To calculate the kinetic energy of the ball when it hits the ground, we use the formula below.
Formula:
Since there is no loss due to friction,
Kinetic energy = Potential energyK.E = Wh.............. Equation 1Where,
K.E = Kinetic energyW = Weight of the ballh = Height of the towerFrom the question,
Given:
W = 70 Nh = 15 mSubstitute into equation 1
K.E = 70×15K.E = 1050 JAlso,
To calculate the velocity before the ball hit the ground, we use the formula below.
v = √(2gh)......... Equation 2Where:
g = Acceleration due to gravity = 9.8 m/s²v = Velocity of the ball before hitting the ground.Substitute into equation 2
v = √(2×15×9.8)v = √294v = 17.15 m/sHence, the kinetic energy and the velocity of the ball before hitting the ground is 1050 J and 17.15 m/s respectively.
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a 4.5-kg, three legged stool supports a 86-kg person. if each leg of the stool has a cross-sectional diameter of 2.2 cm and the weight of the person is evenly distributed, determine the pressure exerted on the floor by each leg.
The pressure exerted on the floor by each leg is calculated to be 777,982.5 Pa
As the formula for force is F = mg, therefore;
F = (mass of person + mass of stool) × g
F = (4.5 + 86) × 9.8
F = 886.9 N
This force of 886.9 N is evenly distributed on the three legs
radius, r = d/2
= 2.2 / 2
= 1.1 cm = 0.011 m
The total cross-sectional area of the three legs, A = 3 × pi × r^2
A = 3 × π × 0.011²
A = 0.001140 m²
Pressure due to weight,
P = 886.9 N / 0.001140
P = 777,982.5 Pa
Hence 777,982.5 Pa is the pressure exerted on the floor by each leg
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How is the human body magnetic?
Answer:
The body’s own internal magnetic fields are generated by the extraordinary amount of internal electrical activity that keeps our bodies alive. These biomagnetic fields interact with all of the other magnetic fields on the planet and control our basic chemistry. The adult body is comprised of more than 70 trillion individual cells.
(fill in the blank) is the use of reliable knowledge for a practical purpose. (fill in the blank) is the study of the natural world through observation and experimentation. reset next
Technology is the use of reliable knowledge for practical purposes.
Ecology is the study of the natural world through observation and experimentation.
Technology refers to the application of scientific knowledge for practical purposes. This is how science and technology are connected. Scientific knowledge develops through observations about the natural world. Observations can raise scientific questions that can lead to hypotheses.
The hypothesis can be tested by experiment. Experimental results lead to changes in scientific knowledge. Science is any body of knowledge dealing with the physical world and its phenomena that requires unbiased observation and systematic experimentation. To be reliable experimental observations must be reproducible.
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Answer:
Second one is Science
Explanation:
A bicycle with 0. 80-m-diameter tires is coasting on a level road at 5. 6 m/s. A small blue dot has been painted on the tread of the rear tire.
The speed of the blue dot when it is 0.80 m above the road is 11.2 m/s
Calculation1:d = diameter of tire = 0.80 m
r = radius of tire = (0.5) d = (0.5) (0.80) = 0.40 m
v = speed of bicycle = 5.6 m/s
w = angular speed of the tire
Speed of cycle is given as
v = r w
5.6 = (0.40) w
w = 14 rad/s
Radians per second. ω ω = 14 rad/s
Calculation2:
v' = speed of blue dot
Speed blue of dot is given as
v' = v + rw
v' = 5.6 + (0.40) (14)
v' = 11.2 m/s
The speed of the blue dot when it is 0.80 m above the road is 11.2 m/s
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Question:
Express your answer in radians per second. ω ω = 14 rad/s Previous Answers Correct Part B What is the speed of the blue dot when it is 0.80 m above the road?
How long will it take this wave to travel 3000 m in the x-direction? 0. 42 seconds 2. 0 seconds 2. 4 seconds 4. 8 seconds.
The wave's period T is defined as the amount of time it takes for one crest to cover this distance. The distance to a crest is known as the wave speed (or phase velocity).
How far does each period of a wave go?A pulse in a periodic wave moves over a distance of one wavelength in a period of time T. The speed v of the wave can be expressed in terms of these quantities. This relationship holds true for any periodic wave.
Which change will decrease the speed of a sound wave traveling through a gaseous matter quizlet?Which change will decrease the speed of a sound wave traveling through a gaseous matter? deceasing the temperature. An FM radio station broadcasts at 9.23 × 107 Hz.
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based on current evidence, a supercluster is most likely to have formed in regions of space where .
Based on current evidence, a supercluster is most likely to have formed in regions of space where the density of dark matter was slightly higher than average when the universe was very young.
The density of a substance is the connection between the mass of the substance and what sort of space it takes up (quantity). The mass of atoms, their length, and how they may be organized decide the density of a substance.
Density is a vital concept because it lets us decide what materials will drift and what substances will sink whilst positioned in a liquid.
Altitude and climate structures can alternate the air's strain. As you move better, the air's strain decreases from around 1,000 millibars at sea level to 500 millibars at around 18,000 ft.
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Calculate the approximate velocity of a space shuttle orbiting around the earth at a height 3.6 x 106 m. M???? = Mass of the Earth = 6 x 1024 kg R????= Radius of the Earth = 6.4 x 106 m G = Gravitational Constant = 6.674 x 10-11 m3s-2kg-1
The approximate velocity of a space shuttle orbiting around the earth at a height 3.6 x 106 m is 22.14 km/s.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Calculation:-
V = √2GMe/Re
= √2×66×⁻¹¹ × 8 × 10²⁴ / 2 × 6.4 × 10⁶
= 2× 11.18 × 10³
= 22.14 km/s
Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
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a proton follows the path shown in (figure 1). its initial speed is v0 = 2.2×106 m/s.
The speed of the proton at point P is determined as 2.67 x 10⁶ m/s.
What is the speed of the proton at point P?The speed of the proton at point P is determined by applying the principle of conservation of energy as shown below.
total energy of the proton at the initial position = total energy of the proton at the final position
Ui + K.Ei = Uf + K.Ef
where;
U is potential energyK.E is the kinetic energykq₁q₂/r₁ + ¹/₂mv₁² = kq₁q₂/r₂ + ¹/₂mv₂²
kq₁q₂/r₁ + ¹/₂mv₁² - kq₁q₂/r₂ = ¹/₂mv₂²
kq₁q₂(1/r₁ - 1/r₂) + ¹/₂mv₁² = ¹/₂mv₂²
¹/₂mv₂² = kq₁q₂ (1/r₁ - 1/r₂) + ¹/₂mv₁²
v₂² = 2/m [kq₁q₂ (1/r₁ - 1/r₂) + ¹/₂mv₁² ]
where;
m is mass of the protonk is coulomb's constantq₁ is the magnitude of the chargeq₂ is charge of protonr₁ is the initial position of the protonr₂ is the final position of the proton = 5 mm (from Pythagoras theorem)v₂² = 2/(1.67 x 10⁻²⁷) [9 x 10⁹ x 10 x 10⁻⁹ x 1.6 x 10⁻¹⁹ (1/0.003 - 1/0.005) + ¹/₂(1.67 x 10⁻²⁷)(2.2 x 10⁶)² ]
v₂² = 7.14 x 10¹²
v₂ = √ (1.44 x 10²³)
v₂ = 2.67 x 10⁶ m/s
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The complete question is below:
a proton follows the path shown in (figure 1). its initial speed is v0 = 2.2×106 m/s. find the speed of the proton at point P
The wind causes this wind turbine to spin, creating electricity. The moving blades are evidence of.
The blades in motion are proof of mechanical energy.
What causes a wind turbine's blades to rotate?The air pressure on one side of the blade falls as wind passes across it. Both lift and drag are produced by the different air pressure on the blade's two sides. The rotor spins because the force of the lift is greater than the force of the drag.
What kind of energy drives the rotation of wind turbines?Motional energy The wind, even a light breeze, causes the blades to spin and releases kinetic energy. This causes the shaft in the nacelle to turn as well, and a generator inside the nacelle transforms the kinetic energy of the rotating blades into electrical energy.
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identify a control commonly used by organizations during the output design phase of the physical systems design stage of developing a new system to avoids expensive time delays later in the SDLC process
requesting users' signatures on a document confirming their acceptance of the output form and content design
Which task in the physical design phase of the systems development life cycle (SDLC) takes the longest?Program Development: One of the SDLC's most time-consuming tasks is program development. It is best to use an organized programming process.
The last step in the systems development life cycle is which of the following?Once the implementation phase is over, the last step begins. The system has a defined support approach in place for the maintenance phase.
Which of the following activities takes place during the software development life cycle's system planning and designing phase?The system planning and designing phase of the SDLC includes the parallel run, sizing, and specification freeze phases.
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Energy efficiency strategies are based on the assumption that consumers will be willing to pay more in exchange for reduced energy use.
On the premise that consumers will be prepared to pay more in exchange for using less energy, energy efficiency measures are based.
What do you think of the American Council for an Energy Efficient's strategy?Energy efficiency policies, programs, technologies, investments, and habits are advanced by ACEEE through research and outreach. In the future, we want energy efficiency to contribute to the US's economic success, energy security, and environmental sustainability.
How is utilizing multiple policy instruments more effective than use just one?How is utilizing multiple policy instruments more effective than use just one? Wider coverage is possible when many policy instruments are used. Cotton was created by Eli Whitney.
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what is example of energy in the form of motion
Answer:
The wind is an example of motion energy. A dramatic example of motion energy is a car crash—a car comes to a total stop and releases all of its motion energy at once in an uncontrolled instant.
Explanation:
Please give the brainliest.
the capacitor can withstand a peak voltage of 530 volts. if the voltage source operates at the resonance frequency, what maximum voltage amplitude vmax can the source have if the maximum capacitor voltage is not exceeded
The highest possible voltage is 41.92 V. Voltage is the difference in electric potential between two points, often known as electric pressure, electric tension, or (electric) potential difference.
It refers to the labor required per unit of charge to move a test charge between two places in a static electric field. The derived unit for voltage in the International System of Units is called a volt. In light of this, 530 volts is the maximum voltage. Assume the resistance in an L-R-C series circuit is 400 ohms, the inductance is 0.380 Henry, and the capacitance is. We must determine the resonance frequency. Using a frequency formula
f = 1/2π√LC
substitute the value in the above formula
f = 1/(2*3.14√0.380* 1.20* 10⁻⁸
f = 2356.88 Hz
To calculate the maximum current
Use the formula of current
I = Vc / XcI = 2π * f * C * Vc
substitute the value
I = 2 * 3.14 * 2356.88 * 1.20* 10⁻⁸ * 530
I = 0.1048 A
The impedance of the circuit
z = √R² + (X² - Xc²)
At resonance frequency
X = Xc
Z = R
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true or false: the quantities di and do are measured from the focal point of a lens or mirror.
Answer:
Explanation:
true
a 1 mci source of 60co is placed in the center of a cylindrical water-filled tank with an inside diameter of 20 cm and depth of 100 cm. the tank is made of iron with a wall thickness of 1 cm. what is the uncollided flux density at the outer surface of the tank nearest the source? you will need data from appendix d of the course text. making the right assumption(s) simplifies the calculation.
The uncollided flux density at the outer surface of the tank nearest the source is Ψ• = 3.4 x 10^4 MeV/cm^2.s
In this formula, C represents the source's activity at that precise moment, and 24rCE= is the energy fluence.
We must ascertain what level of activity passes through the shielding since it will diminish when the gamma rays pass through the water and iron.
Using 1.25 MeV as the average 60Co energy will make things simpler. With regard to water and iron, the attenuation coefficients for 1.25 MeV is the energy fluence are 0.06 cm2/g and 0.058 cm2/g, respectively. first figuring out the intensity, then the iron
I = 1 x 10^-3 x 3.3 x 10^10 x e^(-0.06x1.1) x e^-0.058x7.861
I = 2.6x 10^7 Bq
That is what the cylinder is producing. Using a total radius of 11 cm to calculate the uncollided flux density energy fluence
Ψ• = CE/4πr^2 = 2.6 x 10^7 x 2 x 1.25/4π x 11^2
Ψ• = 3.4 x 10^4 MeV/cm^2.s
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What is the most numerous type of receptor? Multiple Choice Tactile receptors Chemoreceptors Photoreceptors Proprioceptors
Tactile receptors are the most numerous type of receptors.
Tactile receptors are the most numerous type of sensory receptors that includes mechanoreceptors (in skin) and mucous membranes.A mechanoreceptor, is a sensory receptor that responds to mechanical pressure or distortion. Mechanoreceptors are innervated by sensory neurons that convert mechanical pressure into electrical signals that, in animals, are sent to the central nervous system.There are three classes of mechanoreceptors: tactile, proprioceptors, and baroreceptors. Mechanoreceptors sense stimuli due to physical deformation of their plasma membranes. They contain mechanically-gated ion channels whose gates open or close in response to pressure, touch, stretching, and sound.To know more about receptors visit:
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At what radial distance from the center of a toroid of 300 windings does the magnitude of the magnetic field equal that found inside a solenoid that has 400 turns per meter of length? Assume that the current is the same through both devices.The magnitude of the magnetic field inside a toroid of total Ntturns and carrying a current I is, Bt=μ0NtI2πs, where s is the distance of the field point from the center of the toroid. The magnitude of the magnetic field inside a solenoid of Ns turns per unit length and carrying a current I is Bs=μ0NI. So if for a value of s, the magnetic field inside a toroid and a solenoid are the same, then the value of s can be found by using the equation, μ0NtI2πs=μ0NsI.
The radial distance from the center of the toroid is 12 cm such that the magnitude of magnetic field through the toroid is equal to that found inside the solenoid.
It is given to us that -
The toroid has 300 windings
The solenoid has 400 turns per meter of length
We have to find out the radial distance from the center of the toroid if the magnitude of the magnetic field is equal to that found inside the solenoid.
We know that the magnitude of the magnetic field inside a toroid is given by -
[tex]B_{t} =[/tex] (μ₀[tex]N_{t}[/tex]I)/(2[tex]\pi[/tex]s) ------ (1)
where,
s = radial distance from the center of the toroid
I = current flowing through the toroid wire
[tex]N_{t}[/tex] = total turns in the toroid
We also know that the magnitude of magnetic field inside a solenoid is given by -
[tex]B_{s} =[/tex] μ₀[tex]N_{s}[/tex]I ----- (2)
where,
[tex]N_{s}[/tex] = turns per unit length of the solenoid
I = current flowing through the solenoid
Now, it is given to us that the magnitude of magnetic field at a radial distance of s inside the toroid is equal to the magnitude of magnetic field inside the solenoid.
=> [tex]B_{t} =[/tex] [tex]B_{s}[/tex]
=> (μ₀[tex]N_{t}[/tex]I)/(2[tex]\pi[/tex]s) = μ₀[tex]N_{s}[/tex]I
Since it is given that the current is same through both toroid and solenoid, the above equation can be written as -
=> [tex]\frac{N_{t}}{2\pi s} =N_{s}[/tex]
[tex]= > \frac{300}{2\pi s} =400\\= > 800\pi s=300\\= > s = \frac{300}{800\pi } \\= > s = 0.11 m\\= > s = 12 cm[/tex]
Thus the radial distance from the center of the toroid is 12 cm such that the magnitude of magnetic field through the toroid is equal to that found inside the solenoid.
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the strength of coercive power depends solely on the magnitude of the punishment that can be administered.
The severity of the punishment multiplied by the discrepancy between the chance of punishment for noncompliance and the frequency of punishment for compliance determines the coercive power.
What is the unit of magnitude?Units of m is the mass length along time squared are used to express the strength of a force. The most used unit in metric measurements is the newton (N), which is equal to one kilogram times one meter over one second squared.
How is magnitude measured?The Moment Basic Measurements is used today to measure the magnitude of earthquakes (MMS). The fault's rock movement is measured using MMS. Broader earthquakes, which can persist for minutes, cover a much larger region, and inflict more damage, are properly measured by it. However, intensity reflects the level of shaking brought on by an earthquakes at a specific location and diminishes with distance first from epicentre.
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we've seen that squid can escape from predators by ejecting water. some squid do this at the surface of the ocean, thus launching themselves into the air-a particularly effective escape strategy. (figure 1) suppose a 36 kg squid (not including water) at rest at the surface of the water brings in and quickly ejects 3.0 kg of water to achieve a takeoff speed of 3.5 m/s; these are typical numbers.
The law of conservation of momentum states that when two or more bodies act on each other in an isolated system, their total momentum remains constant unless an external force acts on them. Therefore, it can neither be created nor destroyed.
m₁v₁ = m₂v₂
For the given question:
m₁ = mass of squid (36 kg)
v₁ = velocity of squid (3.5 m/s)
m₂ = mass of water (3.0 kg)
v₂ = velocity of water
Substitute the values:
36 × 3.5 = 3.0 × v₂
v₂ = 42 m/s
The maximum range:
R = (v₂)²/ g
where,
g = 9.8 m/s² and launch angle 45°
R = 3.5²/9.8
R = 1.25 m
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The complete question is as follows:
We've seen that squid can escape from predators by ejecting water. Some squid do this at the surface of the ocean, thus launching themselves into the air-a particularly effective escape strategy. Suppose a 36 kg squid (not including water) at rest at the surface of the water brings in and quickly ejects 3.0 kg of water to achieve a takeoff speed of 3.5 m/s; these are typical numbers.
At what speed does the squid eject the water?
If we ignore lift and drag forces as the squid flies through the air, what is the maximum horizontal range that the squid can achieve before splashing down?
It takes a snail 10 seconds to move 1 centimeter. Clear check how far can the snail move in 2 seconds? centimeters how long will it take the snail to move 2. 5 centimeters? seconds.
A centimeter will be moved by the snail in 10 seconds as opposed to a centimeter being moved in 2 seconds. Accordingly, the snail advances 1 centimeter every 10 seconds.
Why is travel important to life?Traveling is important because it will expose you to a different way of being and living. You'll encounter different people, places, and cultures when traveling, which can give you a wider perspective. A lot of learning and personal growth may occur while traveling.
Why do you love to travel?Nothing is more thrilling than traveling to discover new things and create enduring memories, whether it be by vehicle or by airline. The most fulfilling aspect of traveling is meeting individuals from all around the world. The discussions will increase understanding and might create more significant prospects.
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Match the hormone abbreviations with their function. Match the hormone abbreviations with their function. 166 points TRH Астн ADH PRL (2 015744 Match each of the options above to the items below Stimulates ovulation Stimulates production of TSH and PRL Stimulates secretion of anti-stress hormones Stimulates milk synthesis Stimulates water retention
The hormone abbreviations with their function:
TRH = Stimulation of anti stress hormones
АCTH = Stimulates production TSH and PRL
ADH = Stimulates water retention
PRL = Stimulates milk synthesis
LH = Stimulates ovulation
What are hormones?Hormones are your body's chemical messengers. They travel to tissues and organs through bloodstream. They work slowly over time and affect various processes such as: growth and development. Metabolism - how your body gets energy from what you eat. Hormones play a major role in normal function. They are called chemical messengers because they carry information from the endocrine glands to different parts of the body. They control heart rate, sleep cycles, sexual function, and reproduction. Metabolism, appetite, growth and development, mood, stress, and body temperature are all influenced by hormones.
Endocrine glands release hormones into the bloodstream. This allows the hormone to move to cells in other parts of the body. Endocrine hormones help regulate mood, growth and development, organ function, metabolism and reproduction. The endocrine system regulates the amount of each hormone released.
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The complete question is as follows:
which statements are true concerning a substance with a high specific heat? select one or more: the substance cools down slowly after heating. an example substance is aluminum metal. the substance easily gets hot when heat is applied. an example substance is water.
The statement that is true concerning a substance with high specific heat is as follows: the substance cools down slowly after heating. an example substance is aluminum metal (option A)
What is specific heat?Specific heat or specific heat capacity refers to the heat capacity per unit mass of a pure substance.
In other words, specific heat is defined as the amount of heat needed to increase the temperature of 1kg of a material by 1K and is expressed in terms of J/kg·K or equivalently J/kg·°C.
The specific heat capacity of a material is a physical property. It is also an example of an extensive property since its value is proportional to size.
Water is an example of a substance that has an extremely high specific heat capacity, which makes it good for temperature regulation.
Therefore, a substance with high specific heat cools down slowly after heating and an example is aluminum metal.
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a planet orbiting another star is made primarily of hydrogen and helium and has approximately the same mass as jupiter but is the same size as neptune.
a. true
b. false
When a planet orbiting another star is made primarily of hydrogen and helium and has approximately the same mass as jupiter but is the same size as neptune, it is a false statement.
What is a planet?A planet is defined as the solar body that revolves round the sun. There are various types of planets which include the following:
Mercury: The radius of this planet is 2,440km which is about 1/3 the size of Earth.Venus: The radius of this planet is 6,052km only which is slightly smaller than Earth.Earth: The earth has approximately 6,371km radius.Mars: The radius of this planet is 3,390km which is about half the size of Earth.Jupiter: The radius of this planet is 69,911km which is about 11x Earth’s size.Saturn: The radius of this planet is 58,232km which is about 9x larger than Earth.Uranus. : The radius of this planet is 25,362km which is about 4x Earth’s size.Neptune: The radius of this planet is 24,622km which is only slightly smaller than Uranus.Pluto: Sometimes not regarded as a planet.The statement about the planet is a false statement because it is contradictory. This is so because, in order to be smaller than Jupiter, a hydrogen-helium planet would have to be more gravitationally compressed, so it would have to have a larger mass than Jupiter, also a planet with that size and mass would be too dense to be made of hydrogen and helium.
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What would be the height of the atmosphere if the air density (a) were uniform and (b) decreased linearly to zero with height? Assume that at sea level the air pressure is 1.0 atm and the air density is 1.3 kg/
The height of the atmosphere would be 7951.33 m.
We are given that,
Pressure = P = 1 atm
Air density = ρ = 1.3 kg/m³
Therefore, the height of the atmosphere when the density is constant can be calculated by,
P = ρ g h
We know that pressure at sea level = 1 atm = 101300 Pa
Thus , putting the values in the above equation,
h = (101300 Pa)/(1.3 kg/m³)(9.8m/s²)
h = 7951.33 m
Therefore, the height of the atmosphere would be 7951.33 m, when the air density is constant.
Note : the correct order of the question is,
Assume that at sea-level the air pressure is 1.0 atm and the air density is 1.3 kg/m3.(a) What would be the height of the atmosphere if the air density were constant?(b) What would be the height of the atmosphere if the air density decreased linearly to zero with height?
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For the purposes of seeking a theory to explain the formation of the solar system, we identify four major features of our solar system. Which of the following represent these four major features?
- Large bodies in the solar system have orderly motions.
- Planets fall into two major categories (terrestrial and jovian).
- Several exceptions to the general trends stand out.
- Swarms of asteroids and comets populate the solar system.
Planets fall into two major categories (terrestrial and jovian).
a. Planets can be divided into two main groups.
b. The fusing of hydrogen into helium is how the Sun produces energy.
c. Gravity brought about the solar nebula's collapse.
d. There are a tons of comets and asteroids.
The four main characteristics of the solar system are listed above in the order in which they contributed to its origin.
The majority of planets can be divided into two groups: gaseous giants and other terrestrial planets. As a result of the solar chromosphere's solar winds.
This energy powers the fusion of hydrogen and helium in the sun's core, which powers the sun itself. The solar nebula was a cloud of gases and dust that started to spin on its own, drawing the microscopic particles closer due to gravity. In the solar system, there are around 100 billion comets and asteroids.
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can someone please help me find velocity?
Answer:
b
Explanation:
The velocity of a particle traveling along an axis is given. Near what time is the instantaneous acceleration equal to 0?.
When the velocity of a particle moving along an axis is known, the instantaneous acceleration equal to zero is given as 0.6t.
What is the formula for immediate acceleration?We estimate the average speed between two places in time separated by t while allowing t to decrease. The outcome is the velocity function's derivative, v. (t).
The slope of the tangent line to the graph at any given location on the graph corresponds to the instantaneous acceleration there. The instantaneous acceleration of the particle is equal to 0 when this line is horizontal and has a slope of 0. According to the plot, these times correlate to the velocity function's extrema, which can be found at t = 1.75, 2.75, 3.25, and for all t = 4.
t = 0.6 is the most likely choice.
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A value of 36 mL is a measure of
mass
• length
• density
temperature
• volume
Answer:
Volume
Explanation:
This is because the unit given (ml) is that of Volume
4.0 kg, 36-cm-diameter metal disk, initially at rest, can rotate on an axle along its axis. A steady 3.5 N tangential force is applied to the edge of the disk. Part A What is the disk's angular velocity, in rpm, 4.0 s later?
The disk's angular velocity for a 4.0 kg, 36-cm-diameter metal disk, initially at rest, can rotate on an axle along its axis is 371.55 rpm.
Given values:
m = 4.0 kg
r = 36 cm = 0.36 m
τ = 3.5 N
The moment of inertia of a disk rotating about its axis is:
I = (0.5) × m × r²
I = (0.5) × 4.0 kg × (0.36 m)²
I = 0.0648 kgm²
The angular acceleration (α) is:
τ = I × α
3.5 = 0.0648 × α
α = 3.5 N / 0.0648
α = 9.72 rad/s²
The final angular velocity (ω) after 4.0 seconds:
ω = ω₀ + α × t
ω = 0 + 9.72 × 4.0 s
ω = 38.89 rad/s
Convert angular velocity into RPM:
1 revolution = 2π radians
1 minute = 60 seconds
RPM = ω / (2π) × 60
RPM = 38.89 / (2π) × 60
RPM = 371.55 rpm
Hence, the disk's angular velocity for a 4.0 kg, 36-cm-diameter metal disk, initially at rest, can rotate on an axle along its axis is 371.55 rpm.
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which of the following is true? a) You can have acceleration not equal zero, butvelocity equal to zero.b) You can have acceleration equal to zero, butvelocity not equal to zero.c) You can accelerate without changing your speed.d) all of the abovee) A and B
The correct answer is option A.
We can have velocity equal to zero but acceleration not equal to zero.
We know that acceleration depends on the velocity which depends on the direction and time.
But there are times when a body can be said to be accelerating even when the velocity is zero.
Velocity is a vector quantity and is defined as the rate of change of displacement of an object with time. On the other hand, acceleration is the time rate of change of velocity.
The acceleration is
a = dv/dt
For zero acceleration
0 = dv / dt
It is possible that the acceleration of a particle is non-zero and velocity is zero at the same instant.
At the point where the velocity becomes zero, only the instantaneous velocity of the body is zero, at any time before or after this time, the object has a non-zero velocity.
For example, if a ball is thrown up then at the highest point, velocity is zero but the acceleration is non-zero.
This means that there is still change in the velocity when the velocity of the object reaches zero. Therefore, the body is still accelerating.
By the property of Simple Harmonic Motion, we can tell that when a ball is thrown upwards on earth with a constant velocity, the gravitational force of the earth acts on it in the opposite direction.
Therefore, at the highest point, the velocity of the ball becomes zero, after which it starts to fall down. At this point, the velocity of the ball is zero yet its acceleration is equal to g = 9.8 m/s² which is a non-zero and the body is said to be accelerating even if the velocity is equal to zero.
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