(1) The wavelength of the wave is 1.57 m.
(2) The velocity of the wave is 30 m/s .
(3) The frequency of the wave is 19.10 Hz and the time period of the wave is 0.052 s.
Note: The given equation seems to be incomplete. Most probably the equation was y=25sin(120t-4x). And the standard system of units (i.e. kg, m, s) is used.
Wavelength: The distance between the consecutive crest or trough of a wave is called the wavelength of a wave.
The equation of a plane wave oscillating in the y direction and traveling in the x direction is given by the equation,
y=A sin(ωt-kx)
where y is the displacement along the y direction, A is the amplitude of the wave, ω is the angular frequency, t is the time, x is the displacement along the x direction, and k is the wave constant.
The given equation is,
y=25sin(120t-4x)
Comparing this equation with the above equation, following values are obtained.
k= 4 m^(-1)
ω =120 rad/s
A=25
The wavelength λ is given by the formula,
λ=2π/k
Here k = 4 m^(-1), so
λ=2π/4
λ=1.57 m.
Velocity: The velocity of a wave is the product of the frequency and the wavelength.
The velocity v is given by the formula,
v=ω*λ/2π
Here ω=120 rad/s and λ=1.57 m, so
v=120*1.57/2π
v=30 m/s
Frequency: The number of oscillations completed in one second is called the frequency of a wave.
The formula of the frequency is,
f=v/λ
Here v=30 m/s and λ=1.57 m, so
f=30/1.57
f=19.10 Hz
Time period: The time taken to complete one cycle of oscillation is called the time period of oscillation.
The formula to calculate the time period T is,
T=2π/ω
Here ω=120 rad/s, so
T=2π/120
T=0.052 s.
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An athlete runs with velocity 11 km/h for 5 minutes, 16 km/h for the next 4 minutes, and 18 km/h for other 6 minutes. Compute the total distance traveled.
Answer:
46.656km
Explanation:
it covers 46.656 km
An athlete runs with a velocity of 11 km/hr for 5 minutes then the next 4 minutes at a speed of 16 km/hr and the next 6 minutes with a speed of 18 km/hr then the total distance traveled by the athlete is 3.78 km.
What is Velocity?Velocity is the rate of change in direction of an item in motion as defined by a specific standard of time and observed from a specific frame of reference. Kinematics, the area of classical physics that studies how bodies move, uses the concept of velocity as a fundamental building block.
It takes combined magnitude and direction to define velocity, a physical vector quantity. Speed is a coherent-derived unit that expresses the scalar exact number (magnitude) of velocity. Its quantity is expressed in SI units of meters per second.
Firstly,
11 km/ hr for 5 minutes = 5/60 × 11 = 11/12
16 km/hr for 4 minutes = 4/60 × 16 = 16/15
18 km/hr for 6 minutes = 6/60 × 18 = 18/10
Net distance travelled = 11/12 + 16/15 + 18/10 = 3.78 km
Therefore, the net distance traveled by the athlete is 3.78 km.
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A stone of weight $w$ is thrown vertically upward into the air with an initial speed $v_0$. Suppose that the air drag force $f$ dissipates an amount $fy$ of mechanical energy as the stone travels a distance $y$. What is the speed of the stone upon impact with the ground
The speed of the stone upon impact with the ground [tex]{V_f}={V_o} (\frac{w-f}{w+f})^{\frac{1}{2}}[/tex]
GivenThe initial speed = [tex]{V_o}[/tex]
Explanation
Acceleration
The state of going quickly or taking place quickly.acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.Acceleration when ball is moving upward = (w + f)/m
[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}}$[/tex]
[tex]$=0-\mathrm{V}_{0}^{2}=-2 \mathrm{~s}\left(\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right)$[/tex] ..... (i)
[tex]$\mathrm{s}=\frac{\mathrm{V}_{0}^{2}}{2\left[\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right]}$[/tex]
While coming down
[tex]{V_i=0}[/tex]
[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}} ; \mathrm{a}=(\mathrm{w}+\mathrm{f})$[/tex]
[tex]$\mathrm{V}_{\mathrm{f}}=\sqrt{\frac{2 \times(\mathrm{w}-\mathrm{f}) \mathrm{V}_{0}^{2}}{2(\mathrm{w}+\mathrm{f})}}$[/tex]
[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]
The speed of the stone upon impact with the ground
[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]
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3) What type of energy does a moving car release?
A) Chemical
B) Electrical
C) Mechanical D) Radiant
4) What type of energy do explosions release?
A) Chemical
B) Electrical
C) Mechanical D) Radiant
5) What type of energy does an x-ray give off?
A)Chemical
B) Electrical
C) Mechanical D) Radiant
What type of energy are the following:
6) A battery in your phone?
A) Potential Energy
B) Kinetic Energy
7) A battery in its package?
A) Potential Energy
B) Kinetic Energy
Answer:
Read the information down below. Hope it helps :)
Explanation:
3) C. When gasoline burns in a car engine, some of the chemical energy in the gasoline is converted into heat, then the heat is converted into mechanical energy, and finally mechanical energy moves the car.
4) A. Chemical energy is energy released when a substance undergoes a chemical reaction.
5) D. Radiant energy includes visible light, x-rays, gamma rays, and radio waves.
6) 1. Chemical energy. A battery stores chemical energy and converts it to electrical energy.
2. Potential energy is stored energy and the energy of position.
3. Kinetic energy is the energy of motion.
7. A battery is a device that stores chemical energy and converts it to
electrical energy.
8. Potential energy is stored energy and the energy of position.
9. Kinetic energy is the energy of motion.
The correct answer is 3).The correct option is C). 4) The correct option is A).
5). The correct option is D). 6). The correct option is A). 7) The correct option is A).
3). A moving car releases Kinetic and Potential energy both of which comes under the category of Mechanical energy.
4). Explosions releases heat which is produced due to chemical reaction during explosion, Explosions' releases Chemical energy
5) X-ray are electromagnetic radiations, They are released when electron losses it's speed.
6) A battery in the phone can be considered as an example of Potential energy as charging occurs due to change in potential difference.
7) A battery in it's package is an example of potential energy.
The correct options are 3).B, 4).A, 5).D, 6).A 7)A.
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The volume of a certain quantity of nitrogen at 0 ºC is 10 L. Determine, if the pressure does not vary, what the volume will be at -20 ºC. What would happen if instead of N2 the gas was hydrogen?
From the calculations, the volume of the gas is obtained as 9.3 L
What is the gas laws?The gas laws show the relationship between the volume, pressure, temperature and the number of moles of a gas.
Given that;
V1 = 10 L
T1 = 0 ºC + 273 = 273 K
V2 = ?
T2 = -20 ºC + 273 = 253 K
It then follows that;
V1/T1 = V2/T2
V1T2 = V2T1
V2 = V1T2/T1
V2 = 10 L * 253 K/273 K
V2 = 9.3 L
If the gas were to be hydrogen, the volume of the gas will decrease even further,
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the deflection angle of the laser beam as it exits the prism is 22. 6º. If the prism had been made of glass instead of polystyrene plastic, what would the deflection angle have been?.
When Stone B collides with Stone A during Test 2, Stone B stops and Stone A begins to move. Which statement BEST describes the momentum in Test 2?
A
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is conserved.
B
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.
C
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is not conserved.
D
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is conserved.
Answer:
A
Explanation:
According to law of conservation of momentum, the total momentual in the system will be conserved
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved is the correct answer. The correct option is (b).
The momentum of Stone A is transferred to Stone B when Stone B strikes Stone A and stops. Stone A begins to move with a 2 m/s velocity in the opposite direction as a result (because Stone B was going with a 2 m/s velocity in the opposite direction).
The momentum is not conserved, though, because the momentum of Stone B prior to the impact (which was in the opposite direction) does not match the momentum of Stone A following the contact. The impact results in a little loss of momentum, perhaps as a result of friction or other dissipative forces.
Therefore, The correct option is (b). Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.
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You are traveling at 55 mi/h along the x-axis relative to a straight, level road and pass a car that is traveling at 45 mi/h. The relative velocity of your car to the other car is
Answer:
10 mph
Explanation:
55 - 45 = 10 mph
An electron is accelerated from rest by an electric potential difference of 437 V, and then enters a region of uniform magnetic field. The magnetic field is oriented perpendicular to the velocity with a magnitude of 42.8 mT. What will the radius of the electron's path be once it enters the magnetic field
The radius of the electron's path is once it enters the magnetic field 3.16*10^-4 m.
The electric capacity difference, additionally called voltage, is the outside work needed to bring a rate from one region to some other area in an electric discipline. The electric powered capacity distinction is the change of potential electricity skilled by way of a test rate that has a fee of +1.
The distinction in ability among two points represents the paintings worried or the electricity released in the switch of a unit amount of power from one factor to the other.
Electric ability is the work executed in step with unit fee in bringing the fee from infinity to that factor against electrostatic pressure. In a conductor, electrons float simplest when there is a difference in electric stress at its ends. This is additionally known as the capacity distinction.
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Look at the heart shape shown below. Will the centre of mass of this shape be nearer the top or the bottom of the heart?
Answer:
Nearer the top
Explanation:
Since the shape is not symmetrical in all axis, from the shape, there is more matter occupying the top half of the image. Hence the senter of gravity being at the top
The center of mass of the system is the point at which the total mass of the system could be concentrated without changing the ____________.
The centre of mass of the system is the point at which the total
mass of system could be concentrated without changing the moment
of the system.
Centre of Mass is the point at which the whole mass of the system
is assumed to be concentrated.
The general formula for the COM is:
xₙ = Σmₐxₐ / Σmₐ where, a = 1,2,3.........n
Here the term Σ mₐ xₐ is called the first moment of the system and the
denominator expression is called total mass of the system.
Therefore, from this theory we can say that the moment of the system
remain unchanged while calculating the COM.
Hence, The centre of mass of the system is the point at which the total
mass of system could be concentrated without changing the moment
of the system.
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What is the original source of energy for the following energy sources: wind, coal, petroleum, natural gas, solar?
wind energy - wind is source
coal - coal is source
petroleum - Crude oil is source
natural gas - fossil energy is source
solar - sun is source
What is Energy and Sources of Energy ?The classical description of energy is the ability of a system to perform work, but because energy exists in so many forms, it is hard to find one comprehensive definition
There are two sources of energy: renewable and nonrenewable energy.Primary energy sources take many forms, including nuclear energy, fossil energy -- like oil, coal and natural gas -- and renewable sources like wind, solar, geothermal and hydropower.Learn more about Energy here:
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Answer:
i think it is d
Explanation:
hope this helps!!!
A pendulum with a length of 36.9 cm has a period of 1.22 s. Calculate the gravitational field at the pendulum’s location.
From the calculation, the gravitational field at the pendulum’s location is 9.8 m/s^2
What is a pendulum?A pendulum is a device that is used to demonstrate oscillatory motion. We have the following information.
l = 36.9 cm or 0.369 m
T = 1.22 s
Then;
T = 2π√l/g
T/2π = √l/g
(T/2π)^2 = l/g
g(T/2π)^2 = l
g = l/(T/2π)^2
g = 0.369/(1.22/2 *3.14)^2
g = 9.8 m/s^2
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A 10-kg ring with outer radius 1.5 m and inner radius 1.2 m is placed snuggly around a solid sphere with mass 8.0 kg and radius 1.2 m. The combination rotates about the axis of the cylinder. What is the rotational inertia of the combination
The rotational inertia of the combination is 21.5kg m2
Given that mass of ring = 10kg , outer radius 1.5 m and inner radius 1.2 m
Radius of ring = ½(1.5+1.2) =1.35m
Mass of solid sphere=8kg
Radius of sphere =1.2m
A combination rotational inertia of ring and solid sphere is addiction of rotation inertia of ring and solid sphere
Rotational inertia of ring Ir=MR^2
Rotational inertia of solid sphere Is=2/5MR^2
Combination rotational inertia of ring and solid sphere
I=Ir+Is
=M1R^2+2/5M2R^2
=(10)(1.3^2)+⅖(8)(1.2^2)
=16.9+4.608
=21.5kg m2
Hence the rotational inertia of the combination is 21.5kg/m^2
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An object moving with a speed of 1 m/s accelerates uniformly at 9 m/s2 in the direction of its motion for a distance of 7 meters. What is the final speed of the object
The final speed of the object is 11.2m/s.
To find the answer, we need to know about the Newton's equation of motion.
What's the Newton's equation of motion that establish a relation between initial velocity, final velocity, acceleration and distance?The Newton's equation of motion is V²-U²= 2aSU = initial velocity, V= final velocity, a= acceleration and S = distance.What's the final velocity, if initial velocity, acceleration and distance are 1m/s, 9 m/s² and 7m respectively?Here, U= 1m/s, a= 9 m/s² and S= 7mV²- 1²= 2×9×7= 126V= √126= 11.2 m/s
Thus, we can conclude that the final speed is 11.2 m/s.
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The curved section of a speedway is a circular arc having a radius of 190 m. this curve is properly banked for racecars moving at 34 m/s. at what angle with the horizontal is the curved part of the speedway banked?
The banking angle of the curved part of the speedway is determined as 32⁰.
Banking angle of the curved road
The banking angle of the curved part of the speedway is calculated as follows;
V(max) = √(rg tanθ)
where;
r is radius of the pathg is acceleration due to gravityV² = rg tanθ
tanθ = V²/rg
tanθ = (34²)/(190 x 9.8)
tanθ = 0.62
θ = arc tan(0.62)
θ = 31.8
θ ≈ 32⁰
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difference between derived quantity and physical quantity
Answer:
Derived quantities are based on fundamental quantities, and they can be given in terms of fundamental quantities.Fundamental quantities are the base quantities of a unit system, and they are defined independent of the other quantities.Explanation:
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[tex]\\ \blue{MaggieEve}[/tex]
If the measured resistance of a diode is very high in both directions, the diode is probably __________.
Diode is probably fault.
Diode is an electrical component which allows current to flow in one direction and heavy resistance in other direction.
The working of diode is based on the p-n junction which have
more electron and less hole if p-n junction is n-type and vice-versa.
There are various uses of diode in electric appliances.
If the diode possess high resistances in both the directions then there is
no flow of current. So, the diode must be fault .
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A graduated cylinder has 155 ml of water in it. When a rock is dropped in the new water level is 185 ml. The volume of the rock is
Answer:
30cm^3
Explanation:
ml means milliliter, 1 ml= 1cm^3 that's the unit for volume
hence
Δv=185-155=30ml=30cm^3
Stars that have ejected a planetary nebula go on to become white dwarfs. supernovae. protostars. red giants.
Stars that have ejected a planetary nebula go on to become white
dwarfs.
As we know planetary nebula is a type of glowing shell of ionized gases and there are various stages for the formation of stars. Stars are formed when dispersed matter in gaseous form starts coalescing together under the force of gravity into a compact object. Gravity continuously tries to shrink the object and during this process, the density and temperature inside the star rises.
The fate of the star depends critically on its mass. For stars with mass less than 1.4 solar masses of sun collapse into an extremely dense compact object called "white dwarf". Electron degeneracy pressure is responsible for counterbalancing the inward gravitational force in "white dwarf".
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The density of mercury is 13.6 g/ml. what is its density in lbs/l? (hint: 1 lb = 0.454 kg)
The density of the mercury in lbs/l is 29.96 lbs/l.
Density: The ratio of the mass of the substance to its total volume is defined as the density of that substance.
The formula of the density is,
d=m/V
where d is the density, m is the mass and V is the volume.
Conversion of the unit from g/ml to lbs/l:
It is given that the density of the given substance is 13.6 g/ml.
1 lb = 0.454 Kg
1 kg = 1000 g
So 1 lb = 0.454 *1000 g
1 lb = 454 g
That means 1 g = 1/454 lb
Then 1 ml = 0.001 l.
Using these values, the density of the given substance in lbs/l is calculated.
13.6 g/ml = (13.6 g/ml)*(1 lb/ 454 g)÷(0.001 l/ml)
13.6 g/ml = 29.96 lbs/l
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To determine the focal length of a convex lens, a student focuses a classroom window, a
distant tree and Sun on the screen. In which case, will the student get a value closer to
the accurate value of focal length?
To determine the focal length of a convex lens, if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.
To find the answer, we need to know more about the focal length of a convex lens.
Why we get a focal length which is closer to the accurate value if we focusing sun?The focal length of an optical system can be defined as the measure of how sharply it converges or diverges the light.Focal length of convex lens is the distance between the pole and the focus of the convex lens.Convex lens converges all the rays coming from the distant object at its focal point to form a real image.If the object is at more distance from the lens, then we get sharper image.If we focus on a nearby window, then image will form away from the focal point.In the case of a distant tree, we need to move the screen towards the lens to get the focal point.Thus, we can conclude that, the if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.
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If we use the sun as a distant object to calculate the convex lens's focal length, we obtain a number that is more closely related to the actual convex lens value.
We need to learn more about a convex lens's focal length in order to locate the solution.
Why, if we concentrate the sun, do we obtain a focal length that is closer to the correct value?An optical system's focal length is a measurement of how sharply the light converges or diverges.The distance between the convex lens's pole and its focus is known as its focal length.Convex lenses focus all of the rays from the distant object at their focal point to create a true image.We receive a crisper image if the object is farther away from the lens.Away from the focal point, an image will form if we concentrate on a neighboring window.To get the focal point on a distant tree, we must move the screen in the direction of the lens.We can therefore draw the conclusion that if we use the sun as a distant object, we will obtain a value that is closer to the convex lens's actual value.
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A 1000 kg car is turning round a corner at 10 m/s as it travels along an arc of the circle. If the radius of the circular path is 10 m, how large a force must be exerted by the pavement on the tires to hold the car in the circular path?
Answer:
The force should be equal to 10000 N.
Explanation:
When the car turns round a circular path, it is assumed that there is some centripetal force acting towards the center.
The centripetal force is calculated by the formula,
F=mv^2/r
Given m=1000 kg, v=10 m/s and r=10 m.
F=1000*(10)^2/10
F=10000 N
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The immersed volume of body in a liquid depends on density of the liquid. TRUE or FALSE?
Answer:
True - Archimedes Principle states that the buoyant force on an object is equal to the weight of the liquid displaced.
A boat floats south on the Amazon River at a speed of 6 m/s south. The boat and passengers have a combined mass of 540 kg.
a. What is the momentum of the boat? (3 points)
b. A passenger drags his hand in the water, applying an impulse of 3200 kg·m/s to the north. What is the new velocity of the boat? (3 points)
A. The momentum of the boat, given the data is 3240 Kg.m/s
B. The new velocity of the boat is 11.93 m/s
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
What is impulse?This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final moment – Initial momentum
Imulpse = m(v - u)
How to determine the momentumMass = 540 Kgvelocity = 6 m/sMomentum = ?Momentum = mass × velocity
Momentum = 540 × 6
Momentum = 3240 Kg.m/s
How to determine the new velocityMass = 540 KgInitial velocity = 6 m/sImpulse = 3200 kg·m/sFinal velocity =?Imulpse = m(v - u)
3200 = 540 × (v - 6)
Divide both sides by 540
v - 6 = 3200 / 540
v - 6 = 5.93
Collect like terms
v = 5.93 + 6
v = 11.93 m/s
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Which phrase is most similar in meaning to “scientific theory”?
A. a rigorously tested explanation
B. a mathematical relationship
C. an opinion of what should happen
Answer:
scientific theory”?A. a best guess explanation. B. a rigorously tested explanation. C. an opinion of what should happen. D. a mathematical relationship
When two air masses collide at a front, one air mass may be pushed upward by the other. This is because ____.
Answer: When two air masses collide at a front, one air mass may be pushed upward by the other. This is because one air mass is denser than the other.
Explanation: To know the correct answer, we need to know more about the Collision of Air masses.
What is an air mass?An air mass can be defined as the large volume of air in the atmosphere. It forms due to the uniform levels of temperature, humidity and pressure.What happens when two air masses collide with each other?When two air masses collide at a front, they never mix together. But they push against each other in such a way that, one will push upwards and the other will pushed downward.It happens because, one among the two air masses will be denser than the other.When a warm air mass meets a cold air mass, then the warm air will raise because it is lighter than the cold one.Thus, from the above explanation, we can conclude that, one air mass may be pushed upward by the other, because one air mass is denser than the other when they came in contact with each other.
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Why is it very hard to use the Doppler shift method of detecting planets to discover a planet like Earth
Doppler shift method cannot be used to detect a planet like earth because the mass of Earth is very less.
What is Doppler's effect?
The Doppler effect is produced when an apparent upward shift in frequency of a moving source of waves is observed by the observer towards which the source is approaching also when an apparent downward shift in frequency of observed by the observer when the source is receding.
In astronomy Doppler effect is used by observing the shift in frequency of electromagnetic waves produced by moving stars in our galaxy and beyond. This takes place in the manner:
Electromagnetic radiation emitted by stars of distant galaxies that appear to be shifted downward in frequency show a red shift. This takes place when the star is rotating in its cluster directed away from the Earth.Electromagnetic radiation emitted by stars of distant galaxies that appear to be shifted upwards in frequency show a blue shift. This takes place when the star is rotating in its cluster directed towards the Earth.The Doppler shift method is useful for greater celestial masses. The mass of earth is very less in comparison, thus the Doppler shift method cannot be used to discover a planet like Earth.
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If you can walk at 3 mph, how far away is school if it takes you 20 minutes?
A. 0.5 miles
B. 1 mile
C. 2 miles
D. 1.5 miles
Answer:
The answer is B, 1 mile
Explanation:
60 (minutes) ÷ 3 (mph) = 20, which means every 20 minutes you are traveling 1 mile
What is the name of the front part of the eye which refracts incoming light onto the lens?.
Answer:
CORNEA
Explanation:-
Cornea: Basically the transparent circular part of the front of the eyeball. It refracts the light entering the eye onto the lens, which then focuses it onto the retina. The cornea contains no blood vessels and is extremely sensitive to pain.
Hope it helps
write down the factors that affect weight of a body.
List of things that could affect your body weight:
GeneticsStressAgeDiet (or Lifestyle)HydrationMedicationsMedical ConditionsSleepAnswer:
mass and gravity
Explanation:
From a PHYSICS standpoint:
mass and gravity determine the weight of a body