The centripetal acceleration of a ball of mass m moving at constant speed v in a horizontal circular path of radius r is constant in direction, but changing in magnitude.
What is magnitude ?A mathematical object's magnitude or size is a characteristic that indicates whether it is bigger or smaller than other objects of the same kind. Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
A magnitude is a measurement of a quantity's size. For instance, an earthquake's Richter scale magnitude, which reflects the size of the earthquake and typically ranges from 1 to 10, is measured. A magnitude 8 earthquake is far more problematic than a magnitude 3 earthquake.
Thus, option 2 is correct.
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how much energy is stored in a 2.70- cm -diameter, 12.0- cm -long solenoid that has 200 turns of wire and carries a current of 0.780 a ?
The amount of energy stored in a 2.70 cm diameter, 12.0 cm long solenoid that has 200 turns of wire and carries a current of 0.780 A is 7.27 x 10⁻⁵ J.
Self Inductance of solenoidThe self-inductance of a coil is equal to the sum of the magnetic flux surrounding a coil per unit electric current flowing through the coil.
To determine the energy stored of long solenoid, use formula:
W = ½ L I²
We have,
I = 0.780 A
d = 2.70 cm
L = 12.0- cm
N = 200
Find the cross sectional area (A) first,
A = π x (½ d)²
= π x (0.0135)²
= 5.72 x 10⁻⁴ m²
Next, find the inductance (L) of the solenoid:
L = (μ₀N²A)/L
= {(4π x 10⁻⁷) (200)² (5.72 x 10⁻⁴)} / 0.12
= 23.9 x 10⁻⁵ H
So, the energy stored is:
W = ½ L I²
= ½ (23.9 x 10⁻⁵) (0.780)²
= 7.27 x 10⁻⁵ J
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what do astronomers believe to be driving activity in the centers of galaxies? group of answer choices
Supermassive black holes astronomers believe to be driving activity in the centers of galaxies.
A galaxy is a device of stars, stellar remnants, interstellar gas, dust, and darkish count, sure together with the aid of gravity. The phrase is derived from the Greek galaxies, actually 'milky', a connection with the Milky manner galaxy that incorporates the solar system. Galaxies, averaging an envisioned a hundred million stars, range in length from dwarfs with much less than one hundred million stars, to the most important galaxies acknowledged – supergiants with one hundred trillion stars, each orbiting its galaxy's center of mass. most of the mass in a typical galaxy is within the form of a darkish count number, with just a few percentages of that mass seen within the form of stars and nebulae. Supermassive black holes are a commonplace feature in the centers of galaxies.
the gap among galaxies is filled with tenuous gasoline (the intergalactic medium) with an average density of much less than one atom consistent with a cubic meter. most galaxies are gravitationally prepared into businesses, clusters, and superclusters. The Milky way is part of the nearby organization, which dominates alongside the Andromeda Galaxy.
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since your solution in question 12 was too concentrated, you think diluting by a factor of 50 will be the best course of action before measuring absorbance. the cuvettes hold approximately 4 ml of sample.
3.04 ml of water needed to diluting by a factor of 50.
How do you calculate the dilution of a solution?Dilution is the procedure in question. The following equation can be used to relate the concentrations and volumes before and after a dilution: M1V1 = M2V2, where M1 and V1 are the volume and molarity of the original concentrated solution, respectively, and M2 and V2 are those of the final diluted solution, respectively.A diluted solution is one that has a low solute content. A concentrated solution is one that contains a lot of the solute. The concentrated solution can be created by adding more solute to the dilute solution. The concentrated solution can be made diluted by adding more solvent.(initial concentration)(initial volume) = (final concentration)(final volume)
(50x)(X ml) = (12x)(4 ml)
X ml = (12x)(4 ml) / 50 x
X ml = 0.96 ml of 12x TBE
final volume - initial volume = volume of diluent
4 ml total - .96 ml of 10x TBE = 3.04 ml water
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an astronaut of mass 60 kg is walking on the surface of a new planet. if their weight (in N) is twice their weight on earth, what is the mass of the planet if it has the same radius as earth (R earth = 6.37 x 10^6 m)? the mass of earth is 5.97 x 10^24 kg.
An astronaut of mass 60 kg is walking on the surface of a new planet. If their weight (in N) is twice their weight on earth, the mass of the planet if it has the same radius as earth (R earth = 6.37 x [tex]10^{6}[/tex] m) is 11.94×[tex]10^{24}[/tex] kg.The mass of earth is 5.97 x [tex]10^{24}[/tex] kg.
How to calculate?For earth:-
mass=[tex]m_{e}[/tex]
radius=[tex]R_{e}[/tex]
mass of astronaut,M=60 kg
Gravitational force,[tex]F_{e}[/tex]=G[tex]\frac{m_{e}M }{R_{e} ^{2}}[/tex] (1)
For planet:-
mass=[tex]m_{p}[/tex]
radius=[tex]R_{e}[/tex]
[tex]F_{p}[/tex]=G[tex]\frac{m_{p}M }{R_{e} ^{2}}[/tex] , [tex]F_{p}[/tex]=2[tex]F_{e}[/tex] (2)
Dividing equation (2) by equation (1),we have
[tex]m_{p}[/tex]=2[tex]m_{e}[/tex]=2×5.97×[tex]10^{24}[/tex]=11.94×[tex]10^{24}[/tex] kg
What is gravitational force?Gravitational force is a force exerted by the earth on all objects on it. When a ball is thrown up, it falls to the ground because of gravitational force.
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entrained air is drier than the air within a cloud. considering the phase change of water, how could this lead to further cooling?
Dry air adjacent to the cloud is entrained air is drier than the air within a cloud. The evaporation occurs in the cloud which cools the air. The cooling of air increases its density and creates a downdraft.
How clouds are formed?A cloud can be described as a mass of ice crystals or water drops suspended in the atmosphere. Clouds can be formed when the water condenses in the atmosphere. The sky possesses some quantity of water vapours and it is invisible to us.
Clouds can be formed when an area of air gets cooler until the water vapour there condenses to liquid form. At this point, the air gets saturated with water vapours.
A cloud can never be perfectly adiabatic. Therefore, after mixing the environmental air with the clouds, its boundaries will not stay well defined and this process is called entrainment.
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identify each type of radiation as ionizing or non-ionizing. remember that ionizing radiation deposits enough energy when absorbed in a material such that electrons are removed from atoms to create charged ions.
According to the definition given, non-ionizing means using microwaves on a substance without causing charged ions to form by removing electrons from atoms.
What kind of energy exist?The six primary forms of energy are chemical, electromechanical, photonic, muscular, geothermal, and nuclear fuel. Other research may focus on other forms including electrochemical, psychological, electromagnetic, and others.
Why is energy such a big deal?Energy is a crucial part of our everyday life despite being just a basic human need. The buildings that people have constructed are heated and cooled by energy. Energy is needed to do things like lift your finger, get out of bed, or even merely go along the main corridor.
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a car is on a circular off ramp of an interstate and is traveling at exactly 25 mph around the curve. does the car have velocity?
Yes, the car has velocity which is perpendicular to the radius of the curve.
Velocity is nothing but quantity that designates how fast and in what direction a point is moving. A point always moves in a direction that is tangent to its path; for a circular path, for example, its direction at any instant is perpendicular to a line from the point to the center of the circle.
Here, the car is traveling at 25 mph around the curve, so it has a tangential velocity. Also, the tangential velocity is constantly changing in direction so the car can go to curve and not moving forward in a straight line, there should be a centripetal force acting and the velocity is perpendicular to the radius.
A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body.
hence the car is having velocity which is perpendicular to the radius of the curve.
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A crate of mass 10.0 kg is pulled up a rough incline with an initial speed of 1.50 m/s. The pulling force is 100 N parallel to the incline, which makes an angle of 17.5∘ with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.55 m.a) How much work is done by gravity?b) What is the change in kinetic energy of the crate?c) What is the speed of the crate after being pulled 5.55 m?
The work done by gravity= 163.17 J, change in kinetic energy=186.2J, the final velocity=93.67m/s
define kinetic energy ?
In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes. The body does the same amount of work while slowing down from its current pace to rest. Formally, kinetic energy is any term in a system's Lagrangian that contains a time derivative.
a) work done by the gravity was
w=mg x (5.55) sin 17.5
=10x9.8x5.55x0.300
=543.9x0.300
=163.17 J
therefore the work done by gravity was 163.7 J
b)change in kinetic energy
Δu=(0.4)x(10)x(9.8)x(cos17.5)x(0.005)
=0.4x10x9.8xcos17.5x0.005
=0.4x10x9.8x0.95x0.005
Δu=186.2 J
c) speed of the cart after being pulled by the crate was
mass of the crate=10kg
initial speed=1.50
force=100 N
coeff. kinetic energy=0.4
distance=5.55m
frictional force N=mgcosФ
=0.4x10x9.8xcos17.5
=8.58
effective force = (100-8.58)
=91.42
acceleration=91.42/10
=9.142
the final velocity=u^2+2as
=1.5^2+2 (9.142)5
2.25 +2(45.71)
2.25+91.42
=93.67
therefore the final velocity=93.6m/s
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estimate the peak heating load in btu/hr and rt for a single 4-people family, detached single story house located in the new york city metro region. the house is built on a slab-on-grade and has no garage. the house has the following characteristics
The ventilation load in buildings refers to the principal energy used to handle the external fresh air to maintain the internal thermal comfort.
What is the ventilation load?According to the fresh air demand and indoor/outdoor air quality, the ventilation load in buildings refers to the principal energy used to handle the external fresh air to maintain the internal thermal comfort.If there is a temperature gradient in a solid or immobile fluid media, conduction as heat transfer occurs. When two nearby molecules meet, conduction occurs, where energy is transferred from the more energetic to the less energetic molecules.Q = c × m × Δ TConduction.Convection.Radiation.According to Fourier's rule, the area at right angles to the gradient through which heat flows is directly proportional to the negative gradient of temperature and the time rate of heat transfer. The law of heat conduction sometimes goes by the name of Fourier's law.To learn more about Fourier's rule refer,
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How fast would a light beam appear to einstein if he were traveling in the same direction at 90% of the speed of light?.
Einstein would be moving at 10% of the speed of light if he were following a light beam in the same direction while moving at 90% the speed of light.
What is light beam?A light beam or beam of light is a projection of light energy in a specific direction that emanates from a light source. When sunlight passes through a medium like clouds, vegetation, or windows, it creates a light beam. A piece of light that is traveling along a straight line in one direction is known as a ray of light. A beam of light is a collection of light rays that emanates from a single source. Many lighting fixtures, including spotlights, automobile headlights, PAR Cans, and LED housings, use a lamp and a parabolic reflector to create an artificial light beam. The smallest possible beam divergence can be seen in the light produced by several laser types.
What is a light beam used for and from what it is made up of?A natural example of a light beam that passes through many objects is sunlight (clouds, foliage, windows, etc.). Many lighting devices, like spotlights and automobile headlights, use a lamp and a parabolic reflector to create false light.
Many photons in the same condition make up coherent beams, including laser and radar beams. A light beam's photon count is more of a measurement of its brightness than of its width.
Briefing:Speed of light, c = 3 * 10⁸ m / s
90 % of Speed of light = 3 * 10⁸ * 0.9
90 % of Speed of light = 2.7 * 10⁸ m / s
Relative speed = 3 * 10⁸ - 2.7 * 10⁸
Relative speed = 0.3 * 10⁸ m / s
Relative speed = 0.1 c = 10% of speed of light
As a result, if Einstein were moving at 90% of the speed of light in the same direction as a light beam, the light beam would be moving at 10% of the speed of light.
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Which element is malleable and conducts electricity at STP?.
Some of the elements that are malleable and conducts electricity at STP are Copper, tin and silver.
STP is the abbreviated form of standard temperature and pressure. At STP, the temperature is 0 °C and pressure is 1 atm. Malleability is the ability of a material to be hammered / pressed into a shape without breaking or crackling.
The symbol for copper is Cu. The symbol for tin is Sn. The symbol for silver is Ag. The atomic number of copper is 29. The atomic number of tin is 50. The atomic number of silver is 47.
Therefore, some of the elements that are malleable and conducts electricity at STP are Copper, tin and silver.
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a one-inch depth of sand is poured onto the cap on each arm. (figure 2) after the caps have moved (if necessary) to reestablish equilibrium, is the right cap higher, lower, or the same height as the left cap?
The right cap would be of the same height as the left cap.
What do you mean by equilibrium?It is said that a particle is in equilibrium when there is no net external force acting on it.
The particle is either at rest or moving uniformly, according to Newton's First Law of Motion, which we can apply to this situation.
According to physics, a system is said to be in equilibrium when neither its internal energy state nor its state of motion tend to change over time.
Concurrent forces are those that operate simultaneously at a given point. When the outcome equals zero, these forces are said to be in equilibrium.
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How far does an object fall down after 2 seconds if it is initially at rest?.
Answer:
19.6 m
Explanation:
Start with the physics distance formula
df = do + vo t + 1/2 a t^2
do = original position = 0 vo = origianl velocity = 0 (starts at rest)
so this becomes d = 1/2 a t^2
= 1/2 ( 9.81 m/s^2) (2 s)^2 = 19.6 m
suppose a 77-kg gymnast climbs a rope. (a) what is the tension in the rope if he climbs at a constant speed?
If a 77-kg gymnast climbs a rope at a constant speed, the tension in the rope will be 755.37N. The term "constant speed" or "uniform rate" refers to a fixed rate of movement or at constant speed.
It is also possible to refer to tension as the action-reaction pair of forces acting at each end of the aforementioned elements. Tension is defined as the pulling force transmitted axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Compression's antithesis might be tension.
T = mg; T- mg = 0
T = 77*9.81
T = 755.37N
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a beam of monochromatic light is diffracted by a slit of width 0.630 mm. the diffraction pattern forms on a wall 1.26 m beyond the slit. the width of the central maximum is 2.05 mm. calculate the wavelength of the light. nm
The Wavelength of light is D=2.06m.
A slit with a width of 0 point 630 mm diffracts a monochromatic light beam. 1 point 26 meters away from the slit, a wall develops a diffraction pattern. The central maximum measures 2 point 05 millimeters in width.
To find the wavelength of the light consider following points-
d=0.450mm=0.450×10⁻³m.
D=2.06m.
Reasoning -
The first dark fringe from the central bright fringe is where there is zero intensity on either side of it. The separation of the two zero intensities on either side of the bright central fringe is 4 points and 50 millimeters.The wavefront on the other side of the opening resembles the wave when light passes through a small opening that is comparable in size to the light's wavelength. And elaborate on light diffraction and the phenomenon known as single slit diffraction, which occurs when light passes through a single slit. When light passes through a single slit whose width (w) is on the order of the light's wavelength, we can observe single slit diffraction. The diffraction pattern on the screen will be L >> w away from the slit. Angle influences the intensity.To know more about single slit diffraction-
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A corgi dog has a mass of 10 kg and is running at you with a velocity of 5 m/s. What is the momentum of the dog?.
The momentum of the dog is 50 kg·m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Mass of the corgi dog: m = 10 kg.
Velocity of the dog; v = 5 m/s.
We have to find: momentum of the dog: p = ?
We know that: momentum = mass × velocity
= 10 kg × 5 m/s.
= 50 kg·m/s.
Hence, momentum of the corgi dog is 50 kg.m/s.
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according to the standard big bang theory (neglecting any effects from cosmic acceleration), what is the maximum possible age of the universe if h0
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A 2-kg object is moving at 3m/s. A 4-n force is applied in the direction of motion and then removed after the object has traveled an additional 5m. The work done by this force is:.
A 2-kg object is moving at 3m/s. A 4-n force is applied in the direction of motion and then removed after the object has traveled an additional 5m. The work done by this force is:. 20J
force F = 4 N
distance travelled S = 5 m
work done W = F * S
= 4 * 5
=20 J
( or )
force F = 4 N
mass M = 2 kg
acceleration a = F / M
= 2 m / s 2
work done W = ( 1/ 2 ) M ( v 2 - u2) ( work energy theorem )
from kinematics relation v 2 - u 2= 2aS
∴ work done W = ( 1/ 2 ) M * 2aS
Force is described as: the rush or pull on an item with mass reasons it to change its speed. pressure is an external agent able to converting a body's country of rest or movement. It has a importance and a direction.
Motion - the action or technique of moving or of converting location or function; motion. 2. electricity of motion, as of a residing body. 3. the manner of moving the frame in on foot; gait.
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find the magnitude of the acceleration acm of the center of mass of the spherical shell. take the free-fall acceleration to be g
Take the free-fall acceleration to be gg = 9.80 m/s2m/s2.
In geometry, a round shell is a generalization of an annulus to three dimensions. it's far the area of a ball among concentric spheres of differing radii.
A round shell is an area among two concentric spheres of differing radii while a sphere is a spherical strong determine, or its floor, with every factor on its surface equidistant from its center. example: A stable cylinder of glass, the radius of whose base is 9cm and the peak is 12cm, is melted and changed into a sphere.
Something spherical is like a sphere in being round, or extra or less spherical, in 3 dimensions. Apples and oranges are both spherical, for example, despite the fact that they're in no way flawlessly round. A spheroid has a more or less spherical shape; so an asteroid, for instance, is regularly spherical, however lumpy.
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An object is dropped from rest and falls freely 20. Meters to earth. When is the speed of the object 9. 8 meters per second?.
The object will reach to a distance of 4.9 m when its speed is 9.8 m/sec.
Speed is the rate of change of distance with respect to time.
It is also defined as the ration of total distance covered by the object in a particular time.Its SI unit is m/secTotal Distance = D = 20m
Speed at which distance is to be calculated = v = 9..8 m/sec
According to the first equation of motion: v = u + at
v = 0 + gt
g = 9.81 m/sec²
v = 0 + (9.81) * t
9.81 = (9.81) * t
t = 1 sec
Distance at which the velocity will be 9.8 m/sec can be calculated by second equation of motion S = ut + 0.5 at²
S = 0 + 0.5 (9.8) (1)²
S = 4.9 m
Distance at which the object will be having 9.8 m/sec speed is 4.9m.
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how does the solar nebula theory explain the significant density difference between the terrestrial and jovian planets? (select all that apply.) the increased angular momentum of the outer planets caused them to contract into more dense objects. the gravity of the sun pulled all gases away from the inner planets, but did not reach the outer planets, leaving them with less dense material. jovian planets started out with solid material as well, and were far enough from the sun for a layer of ice to form, after which they became massive enough to capture slower-moving gases. the large gravitational pull of the forming outer planets caused them to be bombarded by high-density comets, asteroids, and planetesimals. terrestrial planets formed from solid material that condensed out of the solar nebula close to the sun, where it was too hot for them to capture gases.
Only dense materials might condense during the formation of terrestrial planets; this is not the case with jovian planets.
The ones that couldn't condense dense materials are huge and gaseous and found further from the star, which is why they are rocky and smaller.
The main distinction is that while Jovian planets are predominantly formed of less dense hydrogen and helium, terrestrial planets are primarily made of rock, which is even more dense.
The density of a planet depends on its make-up. In contrast to the four outer planets, the four inner terrestrial planets are denser. Rock that is hard and thick makes up the majority of the inner planets. Since gas makes up the majority of the outer planets, their total density is lower.
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blood is pumped from the heart at a rate of 5.26 l/min into the aorta (of radius 1.19 cm). determine the speed of blood (in cm/s) through the aorta.
Speed of blood through the aorta of radius 1.19 cm is 20 cm/s
The explanation of the answer is attached below.
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What effect does distance have on the force of gravity? (2 points) Group of answer choices Increasing the distance between two objects increases the gravitational force. Decreasing the distance between two objects decreases the gravitational force. Increasing the distance between two objects decreases the gravitational force. Distance is not a factor in determining the force of gravity.
The effect that distance has on the force of gravity is that increasing the distance between two objects decreases the gravitational force and is denoted as option C.
What is Gravity?This is a term which is referred to as the universal force of attraction acting between all matter and the formula is F = Gm1m2/r² .
The force of gravity has an inverse relationship with the distance of the objects. This therefore means that increasing the distance between two objects decreases the gravitational force and vice versa which is therefore the reason why option C was chosen as the correct choice.
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you and your friend have identical cars (they have the same mass). you drive your car north at 45 mph and your friend drives their car south at 45 mph. which statement is true?
You and your friend have identical cars. You drive your car north at 45 mph and your friend drives his car south at 45 mph. Your car and your friend's car will have same momentum and same kinetic energy.
Momentum is said to be the quantity of motion in a body. It depends on the direction of the motion of the body. It is given by the formula, P = m*v
where, m is the mass
v is the velocity
Kinetic energy is the property of a moving body. It is given by the formula, K.E = 1/2 mv²
where, m is the mass
v is the velocity
As the mass and velocity for both the cars are the same, the kinetic energy and the momentum are also same for both the cars.
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What is the role of ATP in cellular activities?.
ATP is the energy currency of the cell and it is required almost everywhere.
4 cellular activities that would require the energy of ATP will be cellular respiration, ion transport, muscle contraction, nerve impulse.
What is the role of ATP ?
The role of ATP is providing energy where it gets hydrolysed into ADP along with the phosphate ion where the reaction provides energy and this reaction brings about energy in the activity.
The cellular activities are the activities that take place inside the cell and various activities that will link to them in order to perform various functions. DNA synthesis, biochemical reactions, cellular respiration, cellular activities all takes place with the help of ATP.
Therefore, ATP is required almost everywhere in both cellular respiration activities and cellular activities.
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5) calculate the frequency of oscillation for a 3 meter long simple pendulum swinging on the moon. calculate the frequency of oscillation for a 3 meter long simple pendulum swinging on the surface of a white dwarf star the size of the earth but equal to 1 solar mass.
The frequency of oscillation for a 3m long simple pendulum is found to be 0.29 Hz.
Given that, length of the simple pendulum = 3m
Consider, g = 10 m/s²
We know that, time period of the simple pendulum is given by the formula,
T = 2π √(l/g)
where, T is the time period
l is the length
g is the acceleration due to gravity
Time period T can be written as 1/n, where n is the frequency
1/n = 2π √(l/g)
n = 1/ [2π √(l/g)] = 1 / [2π* √(3/10)] = 1/ 3.44 = 0.29 Hz
Thus, the frequency of oscillation is 0.29 Hz.
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suppose the electric field between two points separated by 4 meters is 14 volt/m. what is the electric potential (in volt) between the two points?
Assume that the electric field between two points that are 4 meters apart has a 14 volt/m potential. The electric potential between the two points is 460 w (in volts).
V =Er
= 67 X 13
V =871 volts
I =q/t=8/2
I=4 Amp
P=VI
230 X 2
P=460 W
A unit of electric charge must be moved from a reference point to a specific point in an electric field, and this amount of work energy is known as the electric potential. Against an electric field, the amount of work required to move a unit charge from one point to another is known as electric potential. Although any location outside the range of the electric field charge can be used, Earth is typically used as the reference point. The external effort required to move a charge from one location to another in an electric field is known as an electric potential difference, or voltage. A test charge that has an electric potential difference of +1 will experience a change in potential energy.
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now, consider for the remaining parts of the question below that both shells are fired at an angle greater than 45 degrees with respect to the horizontal. remember that enemy ship a is closer than enemy ship b.
The response of "A shell being fired at the bigger angle" fits the supplied statement.
What does "angle" mean?In plane geometry, an angle is a shape made up of two directions or lines that share an endpoint. The English word "angle" derives from the Latin language "angulus," which means "corner." The vertex and the 2 rays are referenced to as the sides of an angle, respectively, and are the shared termini of two rays.
What names do angles have?Angle names can be given in one of three ways. An angle can be identified through its vertex, by its three points (the vertex must be the middle point), or by a sequence of letters inscribed within the angle's aperture.
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a 6.00-cm-diameter sphere with a mass of 89.3 g is neutrally buoyant in a liquid. identify the liquid.
The liquid has a density of 0.789 g/cm². The density can be found from the equivalent of the buoyant force and the force o object's weight.
What is the buoyant force?According to Archimedes principle, the buoyant force, also called the upward force, is equal to the weight of a fluid displaced by an object. It can be expressed
Fb = ρgV
Fb = buoyant forceρ = density of displaced fluidg = acceleration due to gravityV = volume of dipped object or displaced fluidWe have a 6.00-cm-diameter sphere with a mass of 89.3 g. It is neutrally buoyant in a liquid.
Since the sphere is buoyant in the liquid, the force of the ball's weight equals to the buoyance force of the sphere.
Fw = Fb
Remember that the volume of a sphere is
V = 4/3 πr³, where r is a half of the diameter.
Then, we get the density of the fluid.
mg = ρgV
m = ρV
89.3 = ρ (4/3 π × 3³)
89.3 = 113.14ρ
ρ = 0.789 g/cm²
Hence, the fluid which the ball is buoyant in has a density of 0.789 g/cm².
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use the simulation to compare the masses of the three colored and unlabeled weights of different sizes. to do so, set the spring constant of both springs to the same value. hang known weights on the left spring and an unknown weight on the right spring, and compare the two. use as many known weights as necessary to determine the unknown masses, and then place each into the appropriate mass bins in the ranking task below. do the same for all three unknown weights. view available hint(s)
The response is provided as follows: Gold large weight 100 g, M 250 g, 50 g, 100 g, and 250 g for the colors magenta and blue, respectively.
Describe a mass with an example.The number of matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. For instance, even air has mass, as does your bed, a baseball, a glass, and just a chair.
Can you weigh mass?Although the terms "mass" and "weight" are frequently used interchangeably, they have very different meanings. Anywhere you go with in universe, your mass remains constant; nevertheless, your weight varies with location.
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