Resistivity is the measure of an electrical conductor's resistance with a unit cross-sectional area and unit length. Any material's resistance can be used to distinguish it from other materials and to assess how well they carry electric currents. High resistance suggests little conductivity.
"The wire's resistivity changes, but its resistance does not,"
Stretching a copper wire causes its length to rise and its diameter to contract, which raises the wire's resistance but keeps the material's and temperature's resistivity constant.
The resistance of current in a wire is inversely related to the cross-sectional area of the wire and directly proportional to its length. This is,
R = (L rho)/A
Where
L stands for wire length.
A is the wire's cross-sectional area.
Resistivity, or rho, is a proportionality constant that is influenced by the wire's quality.
In light of this, resistance and resistivity are connected by:
proportionality constant based on the composition of the substance.
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Help quickly plsssssssssssss
In the above diagram, the net force is 10 Newtons to the right, with an acceleration of 5 m/s².
What is the net force?The net force acting on an object is the sum or resultant force on the object. The net force acting on the given object is obtained by summing all the forces acting on the object in the same direction.
The upward force on the object = 7 N. The downward force on the object = 17 N. The net force on the object:
= 17 N - 7 N
= 10 N.
The acceleration of the object is calculated by applying Newton's second law of motion as follows;
F(net) = ma
where;
m is the mass of the object = 2 kg
a is the acceleration of the object = ?
F(net) is the net force on the object
a = F(net) / ma
= (10 N) / (2 kg)a
= 5 m/s²
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if a beetle is travelling at a speed of 2 cm/sec how far will it go in 1 minute
Answer: 120cm
Explanation: It will go 120cm because theres 60 sec in one minute and each second the beetle is travelling 2cm.
If a car collides with a moving bus, what type of relationship exists between the force of the car and the force of the bus?.
When a collision occurs, forces act on both objects, causing them to accelerate. The forces are equal and directed in opposite directions.
What is collision force?Collision force is the force exerted on two bodies when they collide and move apart. In addition to the material properties of the two objects, two other factors influence the collision results. Force and time during which objects are in contact. In collisions between objects of the same mass, each object experiences the same acceleration. The faster the driving speed, the greater the impact and penetration of the vehicle.
According to the laws of physics, the force of impact increases in proportion to the square of the increase in velocity.
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a ball is shot at an angle of 45 degrees into the air with initial velocity of 45 ft/sec. assuming no air resistance, how high does it go? how far away does it land? hint: the acceleration due to gravity is 32 ft per second squared.
Answer:
Explanation: GIVEN :
∅ = 45°
INITIAL VELOCITY (V·) = 45 FT/SEC
ACC DUE TO GRAVITY = 32 FT/SEC²
REQUIRED :
MAXIMUM HEIGHT (HMAX) = ? OR how high does it go 2.MAXIMUM RANGE (RMAX) = ? OR how far away does it land?BY APPLYING FORMULA OF MAXIMUM HEIGHT OF PROJECTILE
HMAX = V·²SIN²∅/2G
HMAX = 45²SIN45²/2X32
HMAX = 1012.5/64
HMAX = 15.82FT
FOR MAX RANGE
BY APPLYING FORMULA OF MAX RANGE
R = V·²SIN2∅/G
R = 45²SIN2X45/32
R = 2025 X 1/32
R = 63.28FT
Where do rock formations go when they are subducted?
Group of answer choices below
A. Above the surface
B. Into the ocean
C. Into the mantle
D. To the core
Rock formations go Into the mantle when they are subducted.
What is Subducted rock?Subduction is a geological process in which the oceanic lithosphere is recycled into the Earth's mantle at convergent boundaries. Where the oceanic lithosphere of a tectonic plate converges with the less dense lithosphere of a second plate, the heavier plate dives beneath the second plate and sinks into the mantle.
Subduction is a geological process in which the oceanic lithosphere is recycled into the Earth's mantle at convergent boundaries.
Rock formations go Into the mantle when they are subducted.
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a tank circuit contains a capacitor and an inductor that produce 30 of reactance at the resonant frequency. the inductor has a q of 15. the voltage of 277 v is connected to the circuit. what is the total circuit current at the resonant frequency?
The total circuit current at the resonant frequency is 0.61 amps
What is a LC Circuit?
A capacitor and an inductor, denoted by the letters "C" and "L," respectively, make up an LC circuit, also referred to as a tank circuit, a tuned circuit, or a resonant circuit. These circuits are used to create signals at particular frequencies or to receive signals from more complicated signals at particular frequencies.Q =15 = (wL)/R
wL = 30 ohms = Xl
R = 2 ohms
Zs = R + jXl = 2 +j30 ohms where Zs is the series LR impedance
| Zs | = 30.07 <86.2° ohms
Xc = 1/(wC) = 30 ohms
The impedance of the LC circuit is found from:
Zp = (Zs)(-jXc)/( Zs -jXc)
Zp = (2+j30)(-j30)/(2 + j30-j30) = (900 -j60)2 = 450 -j30 = 451 < -3.81°
I capacitor = 277/-j30 = j9.23 amps
I Zs = 277/(2 +j30) = (554 - j8,310)/904 = 0.61 - j9.19 amps
I net = I cap + I Zs = 0.61 + j0.04 amps = 0.61 < 3.75° amps
Hence, the total circuit current at the resonant frequency is 0.61 amps
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assume the electron beam in a television tube is accelerated through a potential difference of 25 kv and then passes through a deflecting capacitor of interior width 1 cm. are diffraction effects important in this case? justify your answer with a calculation.
The diffraction effects are not important in this case.
How is an electron beam used?By heating a filament, electrons are produced. The electrons are accelerated through a vacuum tube by a voltage gradient, which pulls them away from the filament. The resulting beam can then be scanned by an electromagnet to create an accelerated electron "curtain."
The electrons have an energy of E = 25 keV or 25 000 eV.
Consequently, the electrons' de Broglie wavelength is:
X = hc / E = (4.135 x 10-15 eV. s x 3 x 10³ m / s) / 25000 eV ~ 5 x 10-11 m << 1 cm or 0.01
m = the interior width of the deflecting capacitor.
But, we know diffraction is significant only when de Broglie wavelength >> the slit width,
i.e., the interior width of the deflecting capacitor in this case.
Hence, the diffraction effects are not important in this case.
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Rutherford's gold foil experiment using alpha particle scattering concluded that.
Rutherford's gold foil experiment using the alpha particle scattering method concluded that the atom consists of a small massive, positively charged nucleus with the negatively charged electrons being at a great distance from the center.
The experiment showed the existence of a nuclear atom a small, positively-charged nucleus surrounded by empty space and then a layer of electrons to form the outside of the atom.
In his experiment, most of the alpha particles did pass straight through the foil he concluded that the atom is mostly empty space.
He also discovered that a small number of alpha particles were deflected by large angles as they passed through the foil he concluded that there is a large concentration of positive charge in an atom.
He also discovered that a small number of alpha particles came straight back off the foil this made him conclude that positive charge and mass are concentrated in a tiny volume in the atom
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help with this pls i will pay more
Answer:
D & F
Explanation:
Both are correct, and none of the others are, as far as my knowledge takes me.
what size force is needed to keep a car of mass 1000kg moving around a circular track with radius 100m when the car is traveling at a constant speed of 28.6 m/s? give your answer in units of kilonewtons.
The correct answer of force is 8.179 Kilonewtons is needed to keep a car moving around a circular track.
What is Centripetal force of circular track?
The direction of the centripetal force is always perpendicular to the direction in which the item is moving. The centripetal force of an item moving in a circular path is discovered to always act towards the centre of the circle using Newton's second law of motion.
Given data :
Mass = 1000 Kg.
Velocity = 28.6 m/s
Radius of Circular Track = 100 m
Centripetal Force = mv ² / r
F = 1000 x (28.6 )² / 100
F = 1000 x 817.96 / 100
F = 8.179 Kilonewtons
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An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 155 m/s. Determine the horizontal distance at which the parcel should be dropped away from the island in order to be landed there. Neglect air resistance.
The horizontal distance at which the parcel should be dropped away from the island in order to be landed there is 697.5 m.
What is the horizontal distance travelled by the plane?
The horizontal distance travelled by the plane is calculated as follows;
X = vt
where;
v is the horizontal speed of the planet is the time of motion of the food from the given heighth = ut + ¹/₂gt²
where;
u is initial vertical velocity = 0t is the time of motionh = 0 + ¹/₂gt²
h = ¹/₂gt²
2h = gt²
t = √(2h/g)
t = √(2 x 100 / 9.8)
t = 4.5 seconds
Horizontal distance = 155 m/s x 4.5 s
Horizontal distance = 697.5 m
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Which of the following correctly shows the offspring probability for a cross between two yellow pea plants (Yy x YY), if yellow is the dominant trait?
The offspring probability for a cross between two yellow pea plants (Yy x YY) if yellow is the dominant trait is 100 percent yellow offspring and 50 percent of each genotype (i.e. Yy and YY genotypes).
What is genetic probability?The expression genetic probability makes reference to the likelihood to inherit a given phenotype and or a genotype from a genetic cross. In this case, one of the parents is homozygous dominant and therefore all F1 will be dominant.
Therefore, with this data, we can see that genetic probability makes reference to the phenotypes and genotypes in the progeny.
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The gravitational field of the Moon is weaker than that of the Earth. It
pulls on each kilogram of mass with a force of 1.6N. What will be the
weight of a 50kg mass on the Moon? [4]
On the Moon, a 50 kg mass weighs 80 N.
What is moon?
The only natural satellite of Earth is the Moon. With a diameter that is roughly one-fourth that of the Earth, it is the fifth largest satellite inside the Solar System and the largest and also most massive when compared to its parent planet. According to the geophysical definitions of a term, the Moon qualifies as a satellite planet because it is a planetary-mass object with such a differentiated rocky body. There isn't much of an atmosphere, hydrosphere, as well as magnetic field there. With a surface gravity of 0.1654 g, it has a gravity that is roughly one-sixth that of Earth. Jupiter's moon Io is the only satellite inside the Solar System that is known to have a higher gravity and density. The main cause of Earth's tides, with an average orbital distance of 384,400 km (238,900 mi) or about 30 times the diameter of the planet, is the gravitational influence of the moon.
>Weight of 1 kilogram= 1.6 N
>Weight of 50 kilograms= 1.6 x 50
= 80
∴ On the Moon, a 50 kg mass weighs 80 N.
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A parallel-plate capacitor is constructed of two square plates, size l×l, separated by distance d. The plates are given charge ±q. Let's consider how the electric field changes if one of these variables is changed while the others are held constant.
Parallel Plate Capacitors are formed by an association of electrodes and insulating material or dielectric. A parallel plate capacitor can simplest shop a finite quantity of electricity before a dielectric breakdown happens.
A capacitor works on the precept that the capacitance of a conductor suggests boom whilst an earthed conductor is added near it. therefore, the capacitor has parallel plates dealing with each other in contrary instructions and are separated through ways or holes.
The most effective layout for a capacitor is a parallel plate, which consists of two metallic plates with an opening among them: electrons are located onto one plate the terrible plate, while an equal amount of electrons are removed from the opposite plate the fantastic plate.
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A car ha a ma of 820 kg. It tart from ret and travel 41 m in 3. 0. What i the net force applied to the car?
The correct for net force applied to the car is 7462 N.
What is the relation between Force, mass and acceleration?
It states that the rate of change of velocity of an object is directly proportional to the force applied and takes place in the direction of the force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.
Explanation:
F=ma
s=ut+ ½ at²
=> a=2(s−ut)t²
= > a = { 2 ( 41 – 0 x 3 ) } / 3²
= 2 (41) / 9
= 9.1 m / s²
F = ma = 820 x 9.1 = 7462 N
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A 20-kg block slides down a frictionless incline from point A to point B A force (magnitude P = 3.0 N) acts on the block between A and B, as shown Points A and B are 2.0 m apart If the kinetic energy of the block at A is 10 J,what is the kinetic energy of the block at B?
The kinetic energy of the block at B is 24J
we can solve this by using law of conservation of energy,
Ki = 10J Uf = 0 ( placed at origin point B)
Kf=?
Ui =mgh
To find height, h = 2 sin 30 = 1m
from this Ui = mgh = 20x1 = 20 J
law of conservation of energy,
Ki+ Ui + W = Kf + Uf - (1)
work = - F X D = 3X2 = - 6 N
substituting in equation 1
10+20- 6 = Kf + 0
30-6 = Kf
Kf = 24 J
hence, KE at B is 24J
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A ball dropped onto a trampoline returns to the same height after the rebound.
a) Describe the energy change of the ball from the point of release to the top of the rebound
b) What can you say about the energy of the ball at the point of release compared with at the top of the rebound?
c)Describe how you would use test in a) to see which of the three trampolines is the bounciest
a. As the ball is dropped, the energy at the point of release is all potential energy, which then changes to kinetic and potential as the ball falls, then all kinetic just when the ball hits the trampoline and back to potential when the ball rebounds to its previous height.
b. The energy at the point of release is equal to the energy at the top of the rebound
c. The height of the rebound of the ball can be used to test which trampoline is bouncier.
What is the law of conservation of energy?The law of conservation of energy states that in a closed system, energy is neither created nor destroyed but can be transformed from one form to another.
According to the law of conservation of energy, the total energy in a system is always conserved. This means that the total energy before and after a change is the same.
For the ball dropped from the trampoline, the energy of the ball is a sum of potential energy and kinetic energy. At some point, the energy of the ball is all potential or all kinetic, whereas at various points, it is a sum of the two energy forms.
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5. a 100 gram ball on the end of a 60 cm long string is swung in a horizontal circle. what is the minimum period of the ball if the string will break when 100 n of tension is placed on it?
The minimum period in which the string will break will be 0.534 sec.
Mass = 100 gm =0.1 kg
Length = 60 cm =0.6 m
Tension on string = 5N
Height of center of circle = 200 cm = 2m
At the bottom point , mv2r / mg
Now, 5N = ( 0.1 kg( v x v) /0.6 m + (0.1 kg) ( 9.8 m/s2)
hence the value of v = 4.91 m/s.
So the height of the wall will fall is 200 cm - 60 cm = 140 cm
The distance travelled can be calculated by the s = ut + 1/2 gt2
as u = 0 and s =H
H= 1/ 2 gt 2
t = √2 H / g
Substituting the values we get time as t = 0.534 sec
Distance = 4.91 m/sec x 0.534 sec
= 2.62 meters
How to calculate period of motion in physics?
The period of an oscillating system can be defined as the time taken to complete one cycle. It is the reciprocal of frequency in physics, which is the number of cycles per unit time. To calculate the period of a wave or a simple harmonic oscillator by comparing it to orbital motion.
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A bar magnet with its north pole pointing downward is falling toward the center of a horizontal conducting ring. As viewed from above, is the direction of the induced current in the ring counterclockwise
explain why please
The magnet is moving down with the north pole downward, and during the transition, there will be an increase in magnetic flux through the ring, which will produce the induced current through the ring.
When the bar is moved toward loop the flux will increase and the induced current will counter this flux.
The induced current tries to oppose the change in magnetic flux and this is possible just if the current direction is counterclockwise.
Result: The current direction is counterclockwise
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If a sonar wave takes 5.4 seconds to return to a ship, how far away is the object it bounced off?
2.05×10^9 m distance far away is the object it bounced off.
velocity= distance/time
velocity= 3×10^8 m/s
time= 5.4
velocity= distance/time
distance= 3×10^8×5.4
distance=2.05×10^9 m
Distance is the length between two locations or things, independent of direction. Since distance is a scalar property, it only takes into consideration the total magnitude and ignores the start and finish positions. Since distance is a scalar attribute, it can only have a positive or zero value; it cannot have a negative value.
The most common unit of measurement for distance is the meter (m), while larger distances can also be stated in kilometers (km), while smaller distances can be expressed in centimeters (cm) or millimeters (mm). When calculating distance, the letter D is often used to represent the distance traveled.
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how much work did the movers do (horizontally) pushing a 41.0- kg crate 10.3 m across a rough floor without acceleration, if the effective coefficient of friction was 0.60?
W=2485.65 J ,work did the movers do friction force a 41.0- kg crate 10.3 m across a rough floor without acceleration
What is a basic friction force?Two surfaces that come into contact and slide against one another produce a force known as frictional force. Several aspects that influence the frictional force include: The surface texture as well as the amount of force attracting them together have the most effects on these forces.
What outcomes does friction produce?It generates heat, which is useful for warming our bodies or specific areas of any object. Power is also lost as a result. It makes noise during every operation. We are able to walk, run, dance, etc. due to friction.
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consider the jet engine and mount indicated in fig.3 and model it as a mass on the end of a beam. the mass of the engine is usually fixed. find an expression for the value of the transverse mount stiffness, k, as a function of the relative speed of the bird, v, the bird mass, the mass of the engine and the maximum displacement that the engine is allowed to vibrate.
The expression for the value of the transverse mount stiffness, k, as a function of the relative speed of the bird, v, the bird mass, the mass of the engine and the maximum displacement is k = 1 / m ( m[tex]_{b}[/tex] v / I x I )²
m x ( t ) + k x ( t ) = F δ ( t )
I x I = F / m ω[tex]_{n}[/tex]
m = Mass of engine
k = Stiffness of transverse mount
F = Magnitude of impulse
ω[tex]_{n}[/tex] = Natural frequency
ω[tex]_{n}[/tex] = √ k / m
I x I = F / m ( √ k / m )
I x I = F / √ k m → ( 1 )
For bird,
F = m[tex]_{b}[/tex] v
Substitute this momentum value in ( 1 ),
I x I = m[tex]_{b}[/tex] v / √ k m
√ k = m[tex]_{b}[/tex] v / I x I √ m
k = 1 / m ( m[tex]_{b}[/tex] v / I x I )²
Therefore, the expression for the value of the transverse mount stiffness, k, as a function of the relative speed of the bird, v, the bird mass, the mass of the engine and the maximum displacement that the engine is allowed to vibrate is k = 1 / m ( m[tex]_{b}[/tex] v / I x I )²
The question is incomplete. The complete question is :
Consider the jet engine and mount indicated in fig.3 and model it as a mass on the end of a beam. the mass of the engine is usually fixed. find an expression for the value of the transverse mount stiffness, k, as a function of the relative speed of the bird, v, the bird mass, the mass of the engine and the maximum displacement that the engine is allowed to vibrate. Fig 3. is shown in the image attached below.
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The longest snake ever found was a python that was 10.0m long. Suppose a coordinate
system large enough
to measure the python's length is drawn on the ground. The snake's
tail is then placed at the origin and the snake's body is stretched so that it makes an angle
of 60.0° with
the positive x-axis. Find the x and y coordinates of the snake's head. (Hint:
The y-coordinate is positive.
The snake's length is approximately equal to its x-coordinate. Use the Pythagorean theorem to find the x-coordinate.)
The x coordinate is approximately equal to 10.0 * cos(60.0) = 8.66
The y coordinate is approximately equal to 10.0 * sin(60.0) = 5.00
What is x-coordinate?
Let's make sure humans know what it means to coordinate before we discuss an x-coordinate. Coordination establishes structure and direction for the relationship between the individuals or things. The same principle applies to an x-coordinate. The first digit in an ordered pair is known as an x-coordinate. The ordered pair consists of the x- and y-coordinates. For instance, the x-coordinate in the ordered pair (5, 3) is 5. Consider the alphabet when trying to recall which number is which. The letter x precedes the letter y in the alphabet. When referencing x-coordinate, the same holds true. The x-value coordinate's indicates how far we are from the origin and which way we are moving along the x-axis. The x-coordinate oscillates in a horizontal plane.
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A train traveled 250 kilometers (km) from its starting point in 5 hours (h). Calculate the speed of the train.
The calculated value of speed is 250km/hr x 5h = 50km/hr. The typical top speed of high-speed trains is 300-350 km/h.
Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s). A megabit is one million bits, which are incredibly small pieces of data. Our internet activity should run more quickly the higher your Mbps (megabits per second) figure is.
speed =distance / time
= 250/5
=50 km / h
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A mass of 0. 55 kg is suspended from the ceiling by a spring which then oscillates with simple harmonic motion. If the period of oscillation is measured to be 0. 75 sec, what is the spring constant?.
The spring constant is 38.6 N/m
Simple harmonic movement is a unique kind of periodic motion in which the restoring force on the shifting item is without delay proportional to the value of the item's displacement and acts toward the item's equilibrium role.
Calculation:-
A. Time period T = 2π√m/K
T² = (2π)² m/k
⇒ K = 4π²m/k
⇒ K = 4π²m/T²
= 4π²×0.55/(0.75)²
⇒ K = 38.6 N/m
Simple harmonic motion is defined as a periodic motion of a factor alongside an instant line, such that its acceleration is usually towards a hard and fast factor in that line and is proportional to its distance from that factor.
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A laser pulse with a wavelength of 545 nm contains 4. 40 mj of energy. How many photons are in the laser pulse?.
The correct answer is 1.20 * 10¹⁶ photons are in the laser pulse.
What is the relation of Number of photons with energy?
A single photon has the energy: hv or = (h/2), where h is the Planck constant. 6.62x1034 Joules per second. About 10–19 Joules (not much!) are contained in each photon of visible light, which makes up the photons per second in a beam.
Given as per questions:
Wavelength (λ) of the laser pulse = 545 nm = 5.45 * 10⁻⁹ m
Total energy of pulse = 4.40 mJ
To determine:
The number of photons in the laser of a given energy
Explanation:
Energy per photon (E) = hc/λ
where h = planck's constant = 6.626 *10⁻³⁴ Js
C = speed of light = 3*10⁸ m/s
λ = wavelength
E = 6.626 10⁻³⁴ Js 3*10⁸ms-1 /5.45 * 10⁻⁹ m = 3.65 * 10⁻¹⁹ J
Now,
No of photons = total energy/Energy per photon
= 4.40 * 10⁻³ J* 1 photon / 3.65 * 10⁻¹⁹ J = 1.20 * 10¹⁶ photons
Thus the laser pulse contains 1.20 * 10¹⁶ photons.
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A block weighing 7.6 N requires a force of
3.1 N to push it along at constant velocity.
What is the coefficient of friction for the
surface?
The coefficeint of friction given that the object weighing 7.6 N requires a force of 3.1 N to push it along at constant velocity, is 0.41
How do I determine the coefficient of friction?We know already that coefficient of friction is related to frictional force and normal reaction according to the following formula:
Frictional force (N) = coefficient of friction (μ) × normal reaction (N)
F = μN
Using the above formula, we can obtain the coefficient of friction as illustrated below:
Weight of object = 7.6 NForce (F) = 3.1 NNormal reaction (N) = Weight of object = 7.6 NCoefficient of friction (μ) =?Frictional force (N) = coefficient of friction (μ) × normal reaction (N)
F = μN
3.1 = μ × 7.6
Divide both sides by 7.6
μ = 3.1 / 7.6
μ = 0.41
Thus, we can conclude that the coefficient of friction is 0.41
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an electric motor consumes 9.00 kj of electrical energy in 1.00 min. if one-third of this energy goes into heat and other forms of internal energy of the motor, with the rest going to the motor output, how much torque will this engine develop if you run it at 2500 rpm?
0.382N⋅m torque will this engine develop if you run it at 2500 rpm.
What is torque ?Torque refers to a measure of the force that run an object around an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is a vector quantity. Opening a bottle cap or turning a handle are examples of torque. Consider the formula Torque = Force x Displacement. Distance is measured in meters and force in Newtons, while torque is measured in Newton-meters.In other words, torque is the cross product between the distance vector (the distance from the fulcrum to the point where the force is applied) and the force vector, and 'a' is the angle between r and F.To learn more about torque from the given link :
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A guitar string vibrates at a frequency of 440 Hz. A point at its center moves in SHM with an amplitude of 3.0 mm and a phase angle of zero. (a) Write an equation for the position of the center of the string as a function of time. (b) What are the maximum values of the magnitudes of the velocity and acceleration of the center of the string? (c) The derivative of the acceleration with respect to time is a quantity called the jek. Write an equation for the jek of the center of the string as a function of time, and find the maximum value of the magnitude of the jek.
The equation of the position of string from the center is 3.0 sin(2π × 440t), the maximum values of acceleration, velocity and jek are 1.29 × 10⁴ m/s², 8.26 m/s and 1.29 × 10⁴ m/s³.
(a) The following equation describes the position of the string's center as a function of time,
y(t) = A sin(2πft), where A is the amplitude (3.0 mm), f is the frequency (440 Hz), and t is time. Substituting the given values, we get,
y(t) = 3.0 sin(2π × 440t)
(b) The maximum value of the magnitude of the velocity of the center of the string occurs when the displacement is maximum, i.e., at t = 0. Therefore,
vmax = 2πfA
vmax = 2π × 440 × 3.0 × 10⁻³
vmax = 8.26 m/s
For acceleration,
amax = 4π²f²A
amax = 4π² × 440² × 3.0 × 10⁻³
amax = 1.29 × 10⁴ m/s²
(c) The jek of the center of the string as a function of time is given by:
j(t) = Aω²cos(2πft) where ω is the angular frequency, given by ω = 2πf.
The maximum value of the magnitude of the jek occurs when the displacement is zero, i.e., at t = T/4, where T is the period of the string. Substituting the given values, we get,
jmax = Aω²
jmax = 4π²f²A
jmax = 1.29 × 10⁴ m/s³.
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a man falls 2.0 m to the floor (assume down to be negative) how long does the fall take? what is his velocity when he hits the floor?
The time taken for the man to reach the ground is 0.64 s and his velocity on reaching the round is 6.26 m/s.
How long does it take the man to fall?Given that we can be able to use the equations of kinematics to obtain the time that it took the man to fall to the floor. Using the equation;
v^2 = u^2 + 2gh
v = final velocity
u = initial velocity
g = acceleration due to gravity
h = height attained
Note that u= 0 m/s since he dropped from a height;
v= √2gh
v = √2 * 9.8 * 2
v = 6.26 m/s
Again;
v = u + gt
Again u= 0 m/s
v = gt
t = v/g
t = 6.26 m/s/9.8 m/s
t = 0.64 m/s
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