A 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. The linear displacement of the edge of the circular platform after 2.0 s will be 80 m .
theta = omega * t + 1/2 * alpha * [tex]t^{2}[/tex]
omega = angular velocity
alpha = angular acceleration
using equation
theta = omega * t + 1/2 * alpha * [tex]t^{2}[/tex]
= 0 + 1/2 * 10 * 4 = 20 rad
linear displacement = radius * theta
= 4 * 20 = 80 m
A 4.0 m radius circular platform accelerates from rest at 10.0 rad/s2. The linear displacement of the edge of the circular platform after 2.0 s will be 80 m .
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What happens when a boater pushes against the water with an oar? Check
all that apply
The water pushes back.
The boat moves in the opposite direction.
The water has more force than the oar.
The oar has more force than the water.
This is one of the example of Newton's third law of motion. The first two options are the right answers
What is Momentum ?Momentum is the product of mass and velocity. According to conservation of linear momentum, the sum of momentum before collision is equal to the sum of momentum after collision.
What happens when a boater pushes against the water with an oar?
The water pushes back because according to Newton's third law, in any action, there must be equal and opposite reaction. Also, the boat will move in the opposite direction.
The water will not have more force than the oar neither will the oar has more force than the water because in any action.
Therefore, when a boater pushes against the water with an oar, the water pushes backward and the boat moves in the opposite direction.
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What type of forces is acting on an object that prevents the object from moving?.
A cyclist pedals for 30.0 min at 15.0 km/h. the metabolic power for this exercise is 480.0 w. how much total chemical energy is transformed in this exercise?
The total chemical energy transformed in this exercise is 580 kJ.
Chemical energy is the strength of chemical substances this is launched after they undergo a chemical response and transform into different substances. a few examples of garage media of chemical power consist of batteries, meals, and gas.
Chemical power is strength stored within the bonds of atoms and molecules. Batteries, biomass, petroleum, natural fuel, and coal are examples of chemical electricity. Chemical energy is converted to thermal strength whilst people burn wood in a hearth or burn gasoline in a vehicle's engine.
Calculation:-
time, t = 20min = 1200s
average metabolic power of cyclist = 480 W
metabolic energy can be calculated as
ΔE = PΔt =480 *1200 = 576000 J ≈ 580000 J = 580 kJ
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Karl measures the current through a resistor. What else will he need to measure in order to work out its resistance? give the full name, not the symbol.
Answer:
Explanation:
The voltage across the resistor
then ohms = voltage / current
help with this question Below shows a swinging pendulum in three different locations. Label each location with the PE and KE bar graphs that show the relative amount of each.
First position - both Kinetic and potential energy, Second position - only kinetic energy, and Third position - Only potential energy.
The kinetic energy of an item is the power that it possesses because of its movement. Its miles are described as the paintings needed to accelerate a frame of a given mass from relaxation to its said velocity. Having won this energy all through its acceleration, the frame continues this kinetic power except for its speed modifications. the kinetic energy of an item is the energy that it possesses because of its movement.
It is described as the work needed to accelerate a body of a given mass from relaxation to its stated speed. Having received this electricity in the course of its acceleration, the body continues this kinetic electricity unless its speed modifications.
Potential energy is the power held with the aid of an item due to its function relative to other items, stresses inside itself, its electric fee, or different elements.
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What is the de broglie wavelength (in meters) of a 148 g baseball thrown at a velocity of 35. 1 meters per second?.
By converting the 400 nm wavelength of violet light into meters we are get 4.0.10^-7.
What is wavelength?
wavelength can be defined as the distance between two successive crests or throughs of a wave. It is measured in the direction of the wave.
The wavelength of light defined as the distance between the two successive crests or throughs of the light wave.
The wavelength of light is the distance between corresponding point in two adjacent light cycles and the frequency.
Convert the unit for 400nm-
4.0.10^-7
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A magnet that is positively charged on one end and negatively charged on the other end is an example of.
A magnet that is positively charged on one end and negatively charged on the other end is an example of D. polarity.
In the field of science, polarity can be described as a phenomenon in which the same substance has different charges in it. The electrical charges are separated inside the same substance or molecule as a result of polarity.
One part of a substance will be negative charges whereas the other will be positively charged as a result of polarity.
A magnet is an example of a substance that can easily gain or lose polarity. When the charges inside a molecule are separate at both ends, we will say that the magnet has gained polarity.
Although a part of your question is missing, you might be referring to this question:
A magnet that is positively charged on one end and negatively charged on the other end is an example of
A cohesion.
B adhesion.
C gravity.
D polarity.
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A pendulum of mass 6. 5 kg hangs in equilibrium. A frustrated student walks up to it and kicks the bob with a horizontal force of 30. 0 n applied over 0. 30 seconds. What is the length of the pendulum if it has a period of 5. 0 seconds? what is the maximum angle of displacement of the swinging pendulum?.
The maximum angle of displacement of the swinging pendulum is 16°
Given,
m2 6.5kg,
F = 30N,
t=0.30s
use,
Impulse (I) = F xt mv = F xt v- Fxt m 2 X 0.3 - coso - 0.0157
cos o = 0.984
o cos (0.984) 10
16°
Displacement is a vector amount that refers to "how far out of vicinity an object is"; it's miles the item's universal alternate in role.
The displacement, defined as the exchange in function of the object, is a vector with the value as a distance, inclusive of 10 miles, and a route, such as east. Velocity is a vector expression with a magnitude identical to the speed traveled and with an indicated direction of movement.
Displacement (symbolized d or s ), also referred to as duration or distance, is a one-dimensional amount representing the separation among two defined points. the same old unit of displacement within the worldwide machine of devices (SI) is the meter (m).
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What is the angle formed between the vectors of centripetal acceleration and centripetal force?.
Angle formed between the vectors of centripetal acceleration and centripetal force is 0°.
Centripetal force is a pressure that acts on an object with a view to direct it closer to a center of curvature. The force generated by means of your arm puts the yo-yo itself in movement, and the tension on the string continues it moving in a circular direction as you twirl it.
One common place instance concerning centripetal pressure is the case wherein a body actions with uniform pace along a circular route. The centripetal force is directed at proper angles to the movement and also alongside the radius closer to the centre of the round route.
Centripetal force is a force on an object directed to the center of a round path that maintains the object at the route. Its price is based totally on three factors:
1) The speed of the item because it follows the round route;
2) The object's distance from the center of the route;
3) The mass of the object.
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What happens to the gravitational force between two particles if the distance between them is doubled?.
As you approach a steady light source, the wavelength of the emitted light appears.
When you approach a steady light source, the wavelength of the emitted light appears longer.
Only a small portion of the electromagnetic radiation spectrum is visible light, yet it contains the only band of frequencies to which the rods and cones of the human eye are responsive. The wavelengths that people can generally see fall within a fairly small range, roughly between 400 and 700 nanometers. Due to the presence of particular nerve endings that are sensitive to this frequency range in the eyes, humans are able to view and react to stimuli produced by visible light. The rest of the electromagnetic spectrum, however, is unseen.
Electromagnetic radiation is emitted from a wide range of sources, and these sources are often grouped based on the particular spectrum of wavelengths they produce.
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there are a number of exceptions to the general rules of the characteristics of our solar system. what are three of these characteristics
There are a few major exceptions to these general trends: Planets with unusually tilted axes. Moons that are unusually huge. Moons that have peculiar orbits.
What is solar system?
The Solar System is composed of the Sun and the objects that orbit it. It was created by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the great bulk of the system's mass, with Jupiter holding the majority of the remaining mass.
All planets and most moons have roughly circular orbits that travel in the same plane in the same direction.
The Sun and the majority of the planets also rotate in this direction.
Small, stony terrestrial planets in close proximity to the Sun
Further out, there are larger, hydrogen-rich Jovian planets.
The moons and rings of the Jovian planets are comprised of rock and ice.
The asteroid belt is densely packed with asteroids.
Comets can be found in the Kuiper belt and the Oort cloud.
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an lc circuit is to be constructed so that the oscillations in its current mimic the oscillations of a mass of 1.6 kg attached to a horizontal spring of spring constant 1.9 n/m and free to slide on a frictionless horizontal surface. find what inductance the circuit should have for its current to oscillate with the same frequency as the mass and spring if the capacitance is 1.6 f.
The inductance the circuit should have for its current to oscillate with the same frequency as the mass and spring if the capacitance is 1.6 F is 0.53 H
√ k / m = √ 1 / L C
k = Spring constant
m = Mass
L = Inductance
C = Capacitance
m = 1.6 kg
k = 1.9 N / m
C = 1.6 F
√ 1.9 / 1.6 = √ 1 / ( 1.6 L )
1.1875 = 1 / 1.6 L
L = 1 / ( 1.1875 * 1.6 )
L = 0.53 H
Capacitance is the property of an electric conductor. It is measured by the amount of separated electric charge that can be stored. Inductance is measured by the size of EMF induced in it compared to the rate of change of electric current that produces the voltage.
Therefore, inductance the circuit should have for its current to oscillate with the same frequency as the mass and spring if the capacitance is 1.6 f is 0.53 H
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on the cosmic calendar, which compresses the history of the universe into a single year, about when did life arise on earth?
On the cosmic calendar, life arise on earth about 300,000 years ago
The Cosmic Calendar is a method to visualize the chronology of the universe, The Cosmic Calendar is a scale in which the 13.7 billion year lifetime of the universe is mapped onto a single year. T
Earth formed in early September on the cosmic calendar. about 300,000 years ago in actual time, that anatomically modern humans, Homo sapiens, arose for the first time.
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how much energy would microraptor gui have to expend to fly with a speed of 10 m/sm/s for 1.0 minute?
Much energy as would Microraptor gui have to expend to fly with a speed of 10 m/s for 1.0 minutes is 486 J.
The first step is to find the energy that Microraptor must release to fly at 10 m/s for 1.0 minutes. The energy that Microraptor must expend to fly can be found using the relationship between Power and Energy.
P = E/t
Where:
P = power (W)
T = time (s)
Now, a minimum of 8.1 W is required to fly at 10 m/s. So, the energy expended in 1 minute (60 seconds) is
P = E/t
E = P x t
E = 8.1 x 60
E = 486 Joules
Thus, the energy that Microraptor must expend to fly at 10 m/s for 1.0 minutes is the 486 J.
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the actual depth of a shallow pool 1.00 m deep is not the same as the apparent depth seen when you look straight down at the pool from above. how deep will it appear to be? the index of refraction for water is 1.33.
The objects appear to be closer to the surface than they actually are.
Only when those rays hit our eyes do we perceive an object. In this image, the fish's ray refracts before it reaches the viewer's eye. As a result, the observer sees the fish's apparent depth, Da, at that distance from the surface. Contrarily, fish perceive objects that are farther away than they actually are. Light refraction is the cause of each of these outcomes.Light refracts away from its normal path as a result. According to the incident ray's angle, it doesn't refract at one point and instead travels parallel to the mediums' boundaries. This is the critical angle that we refer to. The incident ray undergoes total reflection rather than refraction if the angle is greater than the critical angle. To find the equation for the critical angle, we now apply Snell's law of refraction.To find more about Snell's law of refraction-
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determine the magnification if a 2.0-cm-high object is situated 11.6 cm in front of a concave mirror that has a radius of curvature of 10.0 cm.
The computed magnification value is 0.11379
Optics Theory-Magnification is the term for the increase in image size brought about by spherical mirrors that are concave or convex in relation to the object size. Magnification is also equal to the ratio of the image's distance from the mirror's pole to the distance of the object as measured from the pole of the mirror.The object's height is always interpreted as positive because it is always above the primary principal axis. But depending on the type of image created in the case of any selected mirror, the sign for the image height may change. The height of the created virtual images should be considered positive, whereas the height of the created real images should be considered negative.Mathematics -u=-11.6cm
f=R/2=10/2=5cm
But as per sign convention f=-5cm
h=2cm
[tex]\frac{1}{v}+\frac{1}{u}=\frac{1}{f}[/tex]
Calculation-1/v=-1/5+1/11.6
=-0.2 +0.08620689
=-0.11379
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A car goes around a curve of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the centripetal acceleration on the car as it goes around the curve for the second time, compared to the first time?.
The new centripetal force becomes one fourth of the original force.
What is centripetal acceleration ?
Centripetal acceleration, the acceleration of a body in a circular orbit. Since velocity is a vector quantity (that is, it has both magnitude, velocity, and direction), as an object moves along a circular path, its direction and velocity constantly change, resulting in acceleration. Acceleration is radially towards the center of the circle. The centripetal acceleration ac has a magnitude equal to the square of the body velocity v along the curve divided by the distance r from the center of the circle to the moving body. That is, ac = v2/r. Centripetal acceleration has units of meters per square second. Force which causes this acceleration is also directed toward the center of the circle and is called the centripetal force.
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A large semitrailer truck and a small car have equal momentum. How do their speeds compare?.
A large semitrailer truck and a small car have equal momentum. How do their speeds compare?
The truck has a much lower speed than the car.
what is speed?
We've all heard of speed, and when we're driving quickly, we're conscious of it. We may check the speed of our vehicle while we go from point A to point B by looking out the window. No matter how tiny or large, how heavy or light it is, if something is moving, it has speed. But what precisely is speed, how does it operate, and what are some instances of speed in daily life?
As the truck has the highest weight and the small car was having the less weight when compared to the truck,
the truck has the lower speed than the small car
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in order for a rocket ship in deep space far from any other objects to move in a strait line with constant speed it must exert a net force that is..
In order for a rocket ship in deep space far from any other objects to move in a strait line with constant speed it must exert a net force that is zero
force = mass * acceleration
= mass * ( change in speed / time )
since , rocket ship is moving with a constant speed , hence no change of speed is taking place . Hence , acceleration will be zero .
This implies net force will be equal to zero
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Four rods that obey hooke's law are each put under tension. (a) a rod 50. 0 cm long with cross-sectional area 1. 00 mm2 and with a 200 n force applied on each end. (b) a rod 25. 0 cm long with cross-sectional area 1. 00 mm2 and with a 200 n force applied on each end. (c) a rod 20. 0 cm long with cross-sectional area 2. 00 mm2 and with a 100 n force applied on each end.
The tensile strength of rod A and B are equal and also greater than Rod C tensile strength. The order will be C < B = A for different Cross-sectional Areas of the given rods.
for A,
Cross-sectional Area, A = 1mm²
A = 1 × 10^-6m²
Force, F = 200N
the formula of tensile strength will be,σ = F/A
σ = 200/1×10^-6
σ = 200 × 10^6 N/m²
σ = 200 Mpa
for B,
Cross-sectional Area A = 1mm²
A = 1 × 10^-6m²
Force applied F = 200N
the formula of tensile strength will be,σ = F/A
σ = 200/1×10^-6
σ = 200 × 10^6 N/m²
σ = 200 Mpa
for C,
Cross-sectional Area A = 2mm²
A = 2 × 10^-6m²
Force applied F = 100N
the formula of tensile strength will be,σ = F/A
σ = 100/2×10^-6
σ = 50 × 10^6 N/m²
σ = 50 Mpa
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a soccer player kicks a ball from center field and the ball achieves a range r. if the soccer player kicks the ball from center field again, but with twice the velocity, the new range will be:
This soccer technology fair challenge serves to acquaint college students with simple records of how the quantity of air in a football ball can have an effect on the distance it travels while kicked with the regular force.
Velocity / (vɪˈlɒsɪtɪ) / noun plural ties the pace of movement, motion, or operation rapidity; swiftness. physics is a degree of the charge of the movement of a frame expressed as the price of alternate of its role in a specific route with time.
Now that the variety of projectile is given by R = u 2 sin 2 θ g, while could be most for a given preliminary speed velocity is the directional velocity of an item in movement as a demonstration of its fee of change in position as observed from a particular body of reference and as measured by using a specific trendy of time.
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The magnitude, m, of an earthquake is represented by the equation m=23logee0 where e is the amount of energy released by the earthquake in joules and e0=104.4 is the assigned minimal measure released by an earthquake. which shows a valid step in the process of calculating the magnitude of an earthquake releasing 2.5â‹…1015 joules of energy?
The magnitude of an earthquake releasing 2.5×10¹⁵ joules of energy is
9.95 × 10¹⁰.
By magnitude, what did you mean?In physics, magnitude is simply defined as "distance or quantity." It displays an object's size or motion in either an absolute or relative sense. It is a way of describing the size or scope of something. In physics, magnitude typically refers to a length or a size.
The most common way to gauge the size of an earthquake is by its magnitude. It serves as a gauge of an earthquake's sole source's size. Therefore, it is the same no matter how or where you perceive it, and the following calculation can be described as follows:
Given formula
Magnitude M = 2/3 log E/E₀
The least amount of energy released by such an earthquake must be allocated to, where E is the energy released in Joules and E₀ = [tex]10^{4.4}[/tex]
earthquake releasing 2.5×10¹⁵ joules of energy
M = 2/3 log E/E₀
M = 2/3 log 2.5×10¹⁵/[tex]10^{4.4}[/tex]
M = 9.95 × 10¹⁰.
The magnitude of an earthquake releasing 2.5×10¹⁵ joules of energy is
9.95 × 10¹⁰.
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although fusion is preferred, why are all commercial nuclear power plants using energy from fission?
All commercial nuclear power plants are using energy from fission because the nuclear fission reactions are controllable.
In the nuclear power plants energy is obtained by nuclear fission rather than nuclear fusion because in Nuclear Fission reactions are controllable reactions. We can increase or decrease the amount of the particles undergoing season in a nuclear reaction.
On the other hand nuclear fusion reactions are uncontrollable in nature. Basically they are the reactions of two hydrogen molecules fusing with each other in order to form a Helium nucleus this results in enormous amount of energy but we cannot keep a cap on the nuclear fuel undergoing fusion.
This is why all the commercial nuclear power plants are using energy from fission.
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A ballistic pendulum is a device often used for measuring the velocity of a projectile. Assume to projectile fully embeds itself in the pendulum. If the projectile mass is 25 grams, the pendulum mass is 2. 5 kg, and the vertical displacement of the pendulum after the collision is 14 cm, find the velocity of the projectile just prior to the collision. (hint: relate kinetic energy to potential energy).
The velocity of the projectile just prior to the collision would be 167.31 m/s.
with respect to the Principle of Energy Conservation, we can write
U1 + K1 = U2 + K2
where U1 and U2 are the Initial and final gravitational potential energies.
and K1 and K2 are the Initial and final kinetic energies.
Putting all the appropriate values of the gravitational potential energy and kinetic energy, we get
(m+M)g (y2 - y1) = (1/2) x (m+M) x ([tex]V1^{2} - V2^{2}[/tex])
or, g(y2-y1) = (1/2) x ([tex]V1^{2} - V2^{2}[/tex])
so , v1 we can write
v1 = [tex]\sqrt{v_{2} ^{2} + 2 * g * (y2-y1)}[/tex]
v1 and v2 are the initial and final speed
Now, since the collision is inelastic collision, so we can write
where,
[tex]mv_{0p}[/tex] is Velocity of the project prior to the collision, measured in meters per second.
[tex]Mv_{0B}[/tex] Velocity of the ballistic pendulum prior to the collision, measured in meters per second.
As we know that from quetion, v2 = 0 ; g = 9.8 , y2-y2 = 14cm = 0.14 m , m = 0.025 kg, M = 2.5kg and v0B = 0 ,
so putting all values
v1 = [tex]\sqrt{0^2 + 2 * 9.8 * 0.14}[/tex]
v1 = 1.6565 m/s
again solving for [tex]v_{0p}[/tex] ,
[tex]mv_{0p}[/tex] = [tex]= (m+M) v1 - Mv_{0B}[/tex]
Vop = 167.31 m/s
Hence the velocity of the projectile just prior to the collision is 167.31 m/s.
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If Anna walks 80. m to the south, 60. m to the east, 50. m to the north, and then 20. m to the west. What is the magnitude of total displacement Anna has traveled?
210. m.
153. m.
70. m.
50. m.
None of the above.
Answer:
D. 50m
Explanation:
After drawing a diagram, we can see that we end at 40 meters east and 30 meters south of the origin.
Because displacement is a vector quantity, it can be broken down into components in its x and y directions.
We can use trigonometry to determine the hypotenuse length (displacement).
Pythagoras's theorem says a^2+b^2=c^2.
Thus:
30^2+40^2=c^2
900+1600=c^2
2500=c^2
sqrt(2500=sqrt(c^2
50=c
Therefore, your answer is D, 50m.
When 2. 00 kj of energy is transferred as heat to nitrogen in a cylinder fitted with a piston with an external pressure of 2. 00 atm, the nitrogen gas expands from 2. 00 to 5. 00 l. What is the change in internal energy of this system?.
When 2. 00 kJ of energy is transferred as heat to nitrogen in a cylinder fitted with a piston with an external pressure of 2. 00 atm, the nitrogen gas expands from 2. 00 to 5. 00 l. The change in internal energy of this system will be ΔU= 1.3922 KJ
Work done on the system taken as negative and work done by the system taken as positive.
Work done by the gas W
Work = P ΔV
W= P ( V₂- V₁)
W= 2 ( 5 - 2)
W= 6 atm L or 0.6078 KJ
using first law of thermodynamics
Q= W + ΔU
2 = 0.6078 + ΔU
ΔU= 1.3922 KJ
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A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to:.
The speed of the particle is proportional to = √t
Work = the change in kinetic energy = 1/2 mv2
If work is proportional to time
W = t
1/2 mv2 = t
v2 = t
v (speed) = √t
Speed is the time rate at which an object is shifting along a path, even as speed is the fee and route of an item's movement. Positioned every other manner, speed is a scalar value, even as pace is a vector.
Velocity (or price, r) is a scalar quantity that measures the gap traveled (d) over the alternate in time (Δt), represented via the equation r = d/Δt.
The Italian physicist Galileo Galilei is credited with being the first to measure speed by considering the gap blanketed and the time it takes. Galileo described pace as the gap covered in line with unit of time.
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An apple suddenly drops a distance of 3. 2 m from a tree. If the acceleration due to gravity is 9. 8 m/s2, what is the final velocity of the apple?.
The final velocity of the apple depends on acceleration and time.
What is velocity?
The velocity of an object is defined as the ratio of its travel distance to time. Because velocity is a vector quantity, it requires both magnitude and direction.
Given that an apple falls from a tree at a distance of 3.2 m. If the gravitational acceleration is 9.8 m/s2. The following formula will be used to calculate the final velocity of the apple: -
Time = √ ( 2s)/g)
Time = √ ( 2 x 3.2 )/9.8)
Time = 0.8 second
Acceleration = velocity/time
velocity = acceleration X time
velocity = 9.8 X 0.8
velocity = 7.34 m/s
As a result, the final velocity of the apple is 7.34m/s.
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why is the voltage measured across the voltage source not equal to the sum of the voltages measured across the resistor and across the capacitor?
The voltage measured across the voltage source not equal to the sum of the voltages measured across the resistor and across the capacitor because the voltage across the resistor and capacitor are not in phase.
Current through the resistor = Current through the capacitor
VR / R = VC / XC
3 / 550 = 2.7 / XC
XC = 494.99 Ω
XC = 1 / 2 π f C
XC = Capacitive reactance
f = Frequency
C = Capacitance
C = 1 μ F = 1 * [tex]10^{-6}[/tex] F
f = 2 XC / π C
f = 2 * 494.99 / 3.14 * [tex]10^{-6}[/tex]
f = 315.28 * [tex]10^{6}[/tex] Hz
Therefore,
a ) The frequency of the ac voltage source = 315.28 * [tex]10^{6}[/tex] Hz
b ) The voltage measured across the voltage source not equal to the sum of the voltages measured across the resistor and across the capacitor because the voltage across the resistor and capacitor are not in phase.
The given question is incomplete. The complete question is:
An ac voltage source is connected in series with a 1.0 μ F capacitor and a 550 Ω resistor. Using a digital ac voltmeter, the amplitude of the voltage source is measured to be 4.0 Vrms, while the voltages across the resistor and across the capacitor are found to be 3.0 Vrms and 2.7 V rms, respectively. a ) Determine the frequency of the ac voltage source. b ) Why is the voltage measured across the voltage source not equal to the sum of the voltages measured across the resistor and across the capacitor?
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