The angular acceleration as the blades slow down is 194.44 ras/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
The speed of the moving plate is 6500 rpm.
f = 6500 rpm = 6500/60
= 108.33 rev/s
The angular speed is
ω = 2πf
ω = 2π × 108.33
= 680.53 rad/s
time = 3.5 sec
angular acceleration
a = ω final - ω initial /Δt
= 0 - 680.53 / 3.5
= 194.44 ras/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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What are the period and amplitude of the following wave? HELP!
Amplitude is one of these qualities. The largest movement of a particle on the medium from its rest position is referred to as a wave's amplitude.
Wavelength:
The wavelength of the wave is the distance covered by it throughout a whole oscillation.
A metre is the wavelength's SI unit (m).
Frequency:
The frequency of a wave is the number of oscillations it performs in a second.
It's calibrated in hertz (Hz).
time frame
The amplitude of the wave is the length of time it takes for one oscillation to complete.
Time is measured in S amplitude:
The wave's amplitude is defined as its largest departure from its mean or equilibrium position.
A measure of amplitude
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several forces are applied to the pipe assembly shown. knowing that the pipe has inner and outer diameters equal to 1.61 in. and 1.90 in., respectively, determine the normal and shearing stresses at (a) point h, (b) point k
At points h and k, the normal linear shearing strains are 0.423 in.3 and 0.16536 in.3, or 1982.3 psi and 156.1 psi, respectively.
How does science define force?The word "force" has a specific meaning in science. At this level, calling a force a push or indeed a pull is entirely appropriate. A energy is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
Briefing:
To replace all forces on a pipe by the equivalent force
T= 8× 50 = 400lb.in
M = 16.30 = 480lb.in
F₂ = 50lb
To calculate the polar moment of inertia of shaft is
J = π/π²×(R⁴-r⁴)
= π²/2×(0.875⁴ - 0.750⁴)
= 0.423in.³
To calculate the moment of inertia
J= 1/2(J)
=1/2 (0.423)
=0.21188in.³
To calculate shear flow
Qy= 2/3(R³-r³)
= 2/3(0.875³- 0.750³)
= 0.16536in.³
To calculate the thickness of the shaft
t= R-r = 0.875 - 0.750 = 0.125 in.
The stress due to torsions is.
Tx = TR/J = 400 × 0.875/0.42376
=825. 9psi.
The stress due to bending
Qx =My/T = 480 × 0.875/0.2118
=1982.3psi
The stress due to transverse shear
Qx = VQ/I(2t)
=50 × 0.16536/0.2118× 0.250
=156.1psi
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PLease HELP WILL GIVE BRAINLY
Finally, observe the values of horizontal acceleration for the point masses and the dynamic models for the man and the boy. What can you say about acceleration?
We can say some external things about body accelaration.
What is body accelaration?Acceleration of a body is the given as change in velocity is the per unit time of a body. That means it is the ratio of to the final velocity - initially the velocity. Accelaration = v - u t .
As per the given question -
We have to observe the value of horizontal accelaration for boy masses
And the dynamics model for the man and boy.
We can say about accelaration that is accelaration rate at which velocity change with time.in terms of both speed and direction.
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Your brother's mass is 79 kg, and he has a 3.2 kg skateboard. What is the combined momentum of your brother and his skateboard if they are going 8.6 m/s?
The combined momentum of your brother and his skateboard if they are going 8.6 m/s be 706.92 kg.m/s.
What is momentum?momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
According to the question:
Total mass of his and his skateboard: m = 79+3.2 kg = 82.2 kg.
Speed of them: v = 8.6 m/s.
Hence, magnitude of combined momentum of your brother and his skateboard = total mass × speed = 82.2 × 8.6 kg.m/s = 706.92 kg.m/s.
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What is the correct definition of a resistor?
O a substance capable of transmitting and creating an electric charge
O a component that resists the flow of electricity
O a device that allows electrical energy to flow through a complete path
O the difference in electric charge between two points
A resistor is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.
What is the main purpose of resistor in devices?The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (), which represents resistance, represents ohms.Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, active components, and terminating transmission lines.When a resistor is inserted into a circuit, the amount of current flowing through the circuit is reduced. Because a portion of the energy in the current is lost as heat in the resistor, the overall current is reduced.To learn more about resistor refer to:
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Which of the following observations provides the best evidence for the big bang theory? A. The spacing of galaxies within the universe B. The location of the gas giants in our solar system C. The length contraction seen at speeds close to c D. The redshift seen in light from other galaxies
The spacing of galaxies inside the universe provides the strongest evidence for the big bang theory, hence choice A is the correct one.
What is The Big Bang Theory explain?Astronomers use the big bang theory to describe how the cosmos came into being. It is the hypothesis that the universe started out as a single point, then grew and stretched until it reached its current size—and is still growing. Jim Parsons has given an explanation for why he is leaving The Big Bang Theory. The American actor, who has been Sheldon Cooper in the critically acclaimed sitcom for 12 seasons, stated in an interview with The Hollywood Reporter that it was time for him to depart since it had "become increasingly challenging."
Is The Big Bang Theory fact or truth?Although a hypothesis can never be proven, it must be "testable" through observation or experimentation. Despite these significant issues, the Big Bang Theory has so far mainly held up to observations and is widely regarded among the cosmology community.
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When heated, why does aluminum turn to powder
When the temperature of aluminium is increased, the metal expands and this is called thermal expansion.
a double-decker london bus (figure 1) might be in danger of rolling over in a highway accident, but at the low speeds of its urban environment, it's plenty stable. the track width is 2.05 m. with no passengers, the height of the center of gravity is 1.45 m, rising to 1.73 m when the bus is loaded to capacity. What are the critical angles for both the unloaded and loaded bus?
When the bus is fully loaded, the center of gravity rises to 1.73 m, and the critical angles are 35.3 degrees for the unloaded bus and 30.6 degrees for the loaded bus, respectively.
Center of gravity: What is it?Theoretically, the body's total weight is concentrated at a location called the center of gravity.
What distinguishes the center of mass from the center of gravity?The main distinction between the centers of mass and gravity is that the center of gravity refers to the location where the total weight of the body is balanced, whereas the center of mass refers to the location where the body's complete mass is directed.
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please help me do my homework
The frequency of the wave is 5 Hz and the amplitude is 0.002 m.
What is wave?
A wave is a disturbance in a medium that carries energy without a net movement of particles. In general, waves are classified into two types as Longitudinal and Transverse.
Given is a wave as shown in the image.
[A] -
The time period of wave [T] = 0.2 s
Frequency [v] = 1/T = 1/0.2 = 10/2 = 5 Hz
[B] -
Amplitude = maximum vertical displacement = 2mm = 0.002 m
Therefore, the frequency of the wave is 5 Hz and the amplitude is 0.002 m.
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1,
An 11-ohm resistor, a 5-ohm resistor, and a 4-ohm resistor are connected in a series across a
10-volt potential difference.
The current in the circuit is 0.5 A. This is clear from the compilation of the question.
What is the current?We know that the current has to do with the the quotient of the resistance and the voltage of the circuit. In this case we would follow the provisions of the Ohm's law.
Given the Ohm's law;
The effective resistance can be obtained as; 11 + 5 + 4 = 20 ohm
Where V = IR
V = voltage
R = resistance
I = current
Then;
I = V/R
= 10-volt/20 ohm
= 0.5 A
Thus there is the flow of a current of about 0.5 A in the circuit as shown.
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Missing parts;
An 11-ohm resistor, a 5-ohm resistor, and a 4-ohm resistor are connected in a series across a 10-volt potential difference. Find the current
which of the following correctly states the value and units of the acceleration of gravity on earth? which of the following correctly states the value and units of the acceleration of gravity on earth? 9.8 km/s 9.8 m/s 9.8 m2/s 9.8 km/s2 9.8 m/s2
The magnitude and units of the earth's gravitational acceleration are 9.8 m/s2 downward. The motion of an object is altered by a net force.
What causes acceleration?
Acceleration is the rate at which the speed and direction of a moving object shift over time. Anything is said to be speeding when it starts to move either faster or slower. Even if the speed is constant, motion on a circle accelerates because the direction is constantly shifting.
What three forms of acceleration are there?
Mainly, The three different types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration. A motion in which an object moves in a straight line while accelerating is referred to as uniform acceleration.
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Answer:
2). Until it was recently discontinued, the fastest jet plane in the skies was
the Lockheed SR-71 Blackbird. However, this plane did not reach its
high speeds through large acceleration. The plane had a mass 7.7x104 kg and was
driven by an estimated unbalanced force of about 7.23x105 N. What was the
acceleration of the Lockheed SR-71?
The acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass, and using the formula F = m × a, where m = mass, a = acceleration.
What is acceleration?The rate at which an object's velocity with respect to time changes is called its acceleration. It is a vector quantity. The direction of the net force imposed on an object determines its acceleration in relation to that force.
What is force?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
What are the calculations?F = m × a
7.23 × [tex]10^{5}[/tex] = 7.7 × [tex]10^{4}[/tex] × a
9.38 × [tex]10^{2}[/tex] = a
Hence, the acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass.
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Which of the following distance vector features prevents routing loops by advertising an infinite metric route when a route fails?
Route poising, as opposed to merely discontinuing to display the route, refers to promoting the unsuccessful route with a "infinite" metric. Poison reversal is the practice of poisoning a route by publicizing it.
Reverse is what?In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in equations or equations with its opposite in order to depict a situation in which time moves backwards or the motion are inverted. The cosmos cannot be "unmixed." This eventually suggests the time only exists as a result of the Big Bang.
Reverse time: What is it?In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in formulas for equations with its opposite in order to represent a situation in which time moves backward or all motions are inverted.
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Part A Is the electric field strength in (Figure 1) changing, or not changing? Match the words in the left column to the appropriate blanks in the sentences on the right. Reset Help Ampere-Maxwell law, first half, According to the magnetic field Ampere-Maxwell law, second half, Faraday's law, can create the electric field, and not vice versa. So the figure doesn't make sense. is created by currents. Since there is no current, the figure doesn't make sense. can be created by the static electric field. So the electric field strength is not changing. can be created by the changing electric field. So the electric field strength is changing
According to Ampere Maxwell's law, the first half, the magnetic field can be created by the changing electric field. So, the electric field strength is changing.
In a static electric field, according to Ampere maxwell law, the divergence at one point is equal to the electric charge volume density ρ at that point divided by ε0. The physical meaning of this statement is that a circulating magnetic field is created by an electric current and also may be by an electric field that changes with time.
An electric current, or we can say a changing electric flux through a surface, has the ability to produce a circulating magnetic field around a path that bounds the given surface. The direction of the current and the induced magnetic field is known by the right-hand rule, as shown below.
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Particles q₁ = -29.6 μC, q2 = +37.7 µC, and
93-10.8 μC are in a line. Particles q₁ and q2 are
separated by 0.630 m and particles q2 and q3 are
separated by 0.315 m. What is the net force on
particle q₁?
The net force on particle q₁ is 4 N along right wards.
What is electric force?Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so. One of the many forces that affect objects is the electric force.
According to the question,
Force applied on q₁ charge due to q₂ charge = (1/4πε₀) q₁q₂/r² = 11.24 N.
Force applied on q₁ charge due to q₃ charge = (1/4πε₀) q₁q₃/r² =- 7.24N.
Hence, net force acting on q₁ = 11.24 N - 7.24 N = 4 N.
Hence, the net force on particle q₁ is 4 N along right wards.
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An L-R-C series circuit L = 0.124 H , R = 238 Ω , and C = 7.29 μF carries an rms current of 0.446 A with a frequency of 408 Hz .
What is the phase angle?
What is the power factor for this circuit?
What is the impedance of the circuit?
What is the rms voltage of the source?
The phase angle is 56.2°, the power factor is 0.556, the impedance is 355.56 ohms and the r.m.s voltage is 158.58V
What is an a.c circuit?Alternating Current Circuits or AC circuits are simply circuits powered by an Alternating Source, either current or voltage. An Alternating Voltage or Current is one in which the amount of either the voltage or the current alters about a distinct mean value and reverses direction periodically.
The impedance of a c circuit Z = √R²+( X(l) - X(c))²
X(l)and Xc are inductive and capacitive reactance respectively
X(l) = 2πfl= 2×3.14×408×0.124= 317.7 ohms
X(c)= 1/2πfc= 1/2×3.14×408×3.29× 10^-6= 53.54 ohms
Z= √238²+(317.7-53.54)²
Z= √56644+69780.51
Z= √ 126424.51
Z= 355.56 ohms
Phase angle = tan^-1( Z/R)
= tan^-1 (1.494)
= 56.2°
power factor = cosine of phase angle
= cos 56.2°= 0.556
The r.ms voltage Vr.m.s = Ir.m.s ×Z
= 0.446× 355.56= 158.58V
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A stone is thrown horizontally from a vertical cliff at a speed of 20 meters per second. The cliff is 30 meters above sea level and the
stone hits the sea after 2.5 seconds.
How far from the base of the cliff is the stone when it hits the sea? (g = 10 m/s)
1.5 POINTS
Answer:
Below
Explanation:
Find out how long it takes to fall the 30 m ....then use this time and the horizontal velocity to find the answer
For vertical : d = 1/2 a t^2
30 = 1/2 (10) t^2 so t = sqrt 6
Horizontal velocity * time = distance from cliff base
20 m/s * sqrt 6 = 48.99 = ~ 49 meters
Given the following two (2) force vectors F₁-5i-2j+3k [N] and F2= 8i+2j+3k [N], find (a)
The angle between both vectors. Next, find (b) the projection (or shadow length) of force F1 on F2.
Lastly, find (c) the projection of F2 on F₁. Show all work and make sure you use proper vector
otation. (Hint: Use Dot Product)
Refer to the attached photo. Would appreciate a rate :)
why do living organisms release radiation
To maintain constant body temperature, living organisms release heat radiation.
What is the process of release heat radiation by living organisms?Life is dependent on homeostasis, which is the preservation of stable internal conditions, in warm-blooded animals. The consistent body temperature is one of homeostasis's signs. Depending on the species, this temperature for animals should range from 35 to 39.5 °C.
A portion of the heat generated in cells during breathing must be expelled in order to maintain a steady body temperature. Living things can lose heat through convection, conduction, radiation, and the loss of water through breathing and sweating (2260 KJ/Kg is the heat at which water vaporises). Imperceptible sweating and perceptible sweating are the two types of sweating that exist. The body naturally experiences unnoticeable sweating throughout the day.
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types and uses of metals
Answer:
PLS RATE AS BRAINIEST
Explanation:
Types of metals are:-
FERROUS METALS:- these are metals that contain iron in them and some additional mineral elements e.g iron(fe), gold(Au) Zinc(zn)NON FERROUS METALS:- these are metals that do not contain iron in them e.g aluminium, copper, lead, nickel, tin, titanium and zinc, as well as copper alloys like brass and bronzeUSES OF METALS
To make cooking wares.To make cooking wares.In making electric appliances, electric wires, fridge etc.To make cooking wares.In making electric appliances, electric wires, fridge etc.Sheets of aluminium and iron for buildings materials.To make cooking wares.In making electric appliances, electric wires, fridge etc.Sheets of aluminium and iron for buildings materials.In manufacturing jewellery from gold, silver, coins and from copper, aluminium etc.I HOPE THIS HELPED
For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively. The resistance and inductance are fixed at R= 55022 and L = 0.2 H. Find the average power dissipated in the resistor for the following values for the capacitance: (a) C = 76uF and (b) C = 7.6uF.
For an RLC series circuit :
a. The average power dissipated in the resistor for the following values for the capacitance C = 76uF is 3.97W
b. The average power dissipated in the resistor for the following values for the capacitance C = 7.6uF is 4.2W
What is capacitance?It is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Capacitors are energy-storing devices available in many sizes and shapes.
a. How to calculate the average power for the capacitance C = 76uF?
V₀ = 100V
n = 500Hz
R = 550 Ω
L = 0.2H
XL = WL = 2 * π * F * L = 2 * 3.14 * 500 * 0.2 = 628 Ω
Xc = 1 / Wc
= 10^6 / 2 * 500 * π * 76
= 10^3 / 76 * 3.14
= 1000 / 238.64
= 4.19 Ω
Z = √R² + (XL - Xc)²
= √550² + (628 - 4.19)²
= √302,500 + 389,138.9
= 831.65Ω
peak current
Io = Vo / Z
= 100 / 831.65
= 0.12A
Irms = Io / √2
= 0.12 / 1.414
= 0.085A
Average power dissipated Pav = Irms^2 * R
= 0.085^2 * 550
= 3.97W
Therefore, the average power dissipated in the resistor for capacitance value 76uF is 3.97W.
b. How to calculate the average power for the capacitance C = 7.6uF?
Xc = 10^6 / 1000 * π * 7.6
= 1000 / 7.6 * 3.14= 41.9Ω
Z = √R² + (XL - Xc)²
= √550² + (628-41.9)²
= √302,500 + 343,513.21
= 803.75Ω
Io = Vo / Z
= 100 / 803.75
= 0.124 A
Irms = Io / √2
= 0.124 / 1.414
= 0.0877 A
Average power dissipated Pav = Irms^2 * R
= 0.0877² * 550
= 4.23W
Therefore, the average power dissipated in the resistor for the capacitance value 7.6uF is 4.23W.
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Which of the following springs (described by its spring constant) has the shortest period when attached to a 100 g mass?
Answer Choices:
30.0 N/m.
10.0 N/m.
20.0 N/m.
40.0 N/m.
The spring with the spring constant 40 N/m has the shortest period when attached to a 100gm mass.
We know the expression for time period as,
T = 2π√(m/k)
From the above expression, it is clear that, Time period T is inversely proportional to √k.
T ∝ 1/√k
where, k is spring constant
So, T value will be smaller if the k value is the greatest.
Given that, Mass of the spring = 100 gm = 100/1000 = 0.1 kg
Now, let us substitute k value and find out T value.
Let k = 40 N/m, T = 2π√(0.1/40) = 2π* 0.05 = 0.1* π = 0.314 s
Let k = 10 N/m, T = 2π√(0.1/10) = 2π* 0.1 = 0.2* π = 0.628 s
Thus, for the spring constant k = 40 N/m, we get the shortest period.
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If a ball is released from a window ledge, how fast will it be travelling when it reaches the ground, 43 m below?
29 m/sec fast it will be travelling when it reaches the ground, 43 m below.
What is conservation of energy?Energy conservation, a basic rule of physics and chemistry states that despite internal changes, the overall energy of an isolated system remains constant. It is the underlying principle of the first rule of thermodynamics, which is most frequently stated as "energy cannot be generated or destroyed."
As an illustration, a radio converts electrical energy into sound energy.
Given that,
height (h) = 43 m
g = 9.8 m/sec
Using the conservation of energy,
mgh = 1/2 m v²
or, v = [tex]\sqrt{2gh}[/tex]
or, v = [tex]\sqrt{2 * 9.8 * 43}[/tex]
or, v = 29 m/sec.
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Can you pls help me
A 2050 kg space station orbits Earth at an altitude of 4.89 x 105 m. Find the magnitude of the force with which the space
station attracts Earth. The mass and mean radius of Earth are 5.98 x 1024 kg and 6.37 x 106 m, respectively.
Answer:
Explanation:
Given:
m = 2 050 km
M = 5.98·10²⁴ kg
h = 4.89·10⁵ m
R = 6.37·10⁶ m
____________
F - ?
F = G·m·M / R²
F = 6.67·10⁻¹¹·2050·5.98·10²⁴ / (6.37·10⁶)² = 18 400 N
Element Q has a half-life of 30 minutes. Which of the following statements is true regarding 4 nuclei of element Q after 90 minutes? Half of the last remaining nucleus will decay There will be 4 nuclei left There is a 50% chance the last remaining nucleus will have decayed There will be 2 nuclei left.
After 90 minutes, there is a 50% chance that the final nucleus will have decayed because element Q has a half-life of 30 minutes for its 4 nuclei. This phrase is frequently used in nuclear physics.
Examining the interaction that now exists between chemists and philosophers of chemistry gives a very singular chance to consider the conceptual nature of the term "element." Robert Boyle, an English scientist, initially proposed the chemical element. A quantity (of substancehalf-life )'s (symbol t12) is the amount of time needed for it to decrease to half of its original value. The phrase is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactively.
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A car travels east with an acceleration of 0.20 m/s2east. It takes 45.0s to travel from position xiat 250.0 m east of the origin, to position xfat 1250 m east of the origin. What is the initial velocity of the car at position xi
With the use of second equation of motion, the magnitude of the initial velocity of the object is 17.72 m/s
What is Velocity ?Velocity is the distance travel in a specific direction per time taken. It is a vector quantity and it is measured in m/s
Given that a car travels east with an acceleration of 0.20 m/s². It takes 45.0s to travel from position xi at 250.0 m east of the origin, to position xf at 1250 m east of the origin. That is,
Acceleration a = 0.20 m/s²Time t = 45 sDistance s = 1250 - 250 = 1000 m Initial velocity u = ?The initial velocity of the car at position xi can be found by using the formula
s = ut + 1/2at²
Substitute all the parameters
1000 = 45u + 1/2 × 0.2 × 45²
1000 = 45u + 202.5
45u = 1000 - 202.5
45u = 797.5
u = 797.5/45
u = 17.72 m/s
Therefore, the initial velocity of the car at position xi is 17.72 m/s
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A 75-W light source consumes 75 W of electrical power. Assume all this energy goes into emitted light of wavelength 600 nm. (a) Calculate the frequency of the emitted light. (b) How many photons per second does the source emit? (c) Are the answers to parts (a) and (b) the same? Is the frequency of the light the same thing as the number of photons emitted per second? Explain.
If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be Decreased and the resonant frequency would be unchanged.
What is frequency?Frequency is the rate at which something occurs over a particular period of time or in a given sample.
Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.
It is defined as-
XL= 2πfL
Xc= 1/2πfC
So when reactances are equal we have-
XL=Xc
2πfL= 1/2πfC
f^2=1/4π^2LC
f=1/2π√LC
The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.
The impedance of a parallel LC circuit is:
Z(w)= jL w^2-w^2•/w
In a series LC circuit, when w
, the impedance becomes equal to 0.
Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.
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Select two things that are increased when the temperature of a chemical reaction is raised.
the phase of the reaction
the total reaction time
the amount of heat energy
the amount of catalyst
the number of molecular collisions
the size of the molecules
The phase of the reaction and the amount of heat energy that are increased when the temperature of a chemical reaction is raised.
What is the heat energy?Heat energy is created by the movement of tiny atoms, molecule, or particles in solids, fluid, and gases. Heat energy may transfer from one item to another. The flow activity transfer that happens as a result of a temperature difference between two objects is referred to as heat.
Where is the utilization of heat energy?51% of the energy used for heating comes from industrial activities, while 46% is used in buildings for heat and power as well as, to a smaller degree, cooking. The remaining portion is largely utilized in agriculture for greenhouse heating.
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A 0.73 kg magnetic target is suspended on a string. A 0.025 kg magnetic dart, shot horizontally, strikes of head on. The dart and the target together, swing up 12 cm above the initial level. What was the initial velocity of the dart?
The initial velocity of the magnetic dart is 46 m/s.
What is a magnet?
A substance or thing that generates a magnetic field is called a magnet. The most noteworthy characteristic of a magnet—the force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc.—as well as the ability to attract or repel other magnets are caused by these magnetic fields.
What are the calculations?Only momentum is conserved in the inelastic dart-target collision, so
m vi + M Vi = (m + M) Vf
where Vi = 0 since the target is initially at rest and Vf is the common velocity just after impact. As the dart-target combination swings
upward, energy is conserved, so ΔPE = ΔKE,
Vf = √2ghf
Substitute Vf into the momentum equation and solve for vi,
Vi = ( m + M/ m) × √2ghf
= (0.025 Kg + 0.73 Kg / 0.025 kg) ( √ 2 ×(9.8 m/s²) × (0.120)
= 46 m/s.
Hence, the initial velocity of the magnetic dart is 46 m/s.
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