Among the given, all waves, the x-ray has the highest velocity.
From de Broglie wavelength
\($$\begin{array}{ll}\lambda=\frac{h}{\xi} & \lambda=\text { wavelingth } \\\lambda=\frac{h}{m u} & b=\text { momuntum } \\u=\frac{h}{m \lambda} & h=\text { Plank contant } \\v \propto \frac{1}{\lambda} & v=\text { mass of election } \\v=\text { velocity }\end{array}$$\)
So, from above,
We can conclude that,
The ray which has the highest value of wavelength will have the smallest value of velocity, as the velocity of the wave is indirectly proportional to the wavelength of the wave.
We know the x - ray has the lowest value of wavelength
So, the velocity of the x-ray will be the highest.
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A particle's trajectory is described by x = (0.5t^3-2t^2) meters and y = (0.5t^2-2t), where time is in seconds. What is the particle's speed at t=5.0s ? What is the particle's direction of motion, measured as an angle from the x-axis, at t=5.0s ?
Differentiate the components of position to get the corresponding components of velocity :
\(v_x = \dfrac{\mathrm dx}{\mathrm dt} = \left(1.5\dfrac{\rm m}{\mathrm s^3}\right) t^2 - \left(4\dfrac{\rm m}{\mathrm s^2}\right)t\)
\(v_y = \dfrac{\mathrm dy}{\mathrm dt} = \left(1\dfrac{\rm m}{\mathrm s^2}\right)t-2\dfrac{\rm m}{\rm s}\)
At t = 5.0 s, the particle has velocity
\(v_x = \left(1.5\dfrac{\rm m}{\mathrm s^3}\right) (5.0\,\mathrm s)^2 - \left(4\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s) = 17.5\dfrac{\rm m}{\rm s}\)
\(v_y = \left(1\dfrac{\rm m}{\mathrm s^2}\right)(5.0\,\mathrm s)-2\dfrac{\rm m}{\rm s} = 3.0\dfrac{\rm m}{\rm s}\)
The speed at this time is the magnitude of the velocity :
\(\sqrt{{v_x}^2 + {v_y}^2} \approx \boxed{17.8\dfrac{\rm m}{\rm s}}\)
The direction of motion at this time is the angle \(\theta\) that the velocity vector makes with the positive x-axis, such that
\(\tan(\theta) = \dfrac{3.0\frac{\rm m}{\rm s}}{17.5\frac{\rm m}{\rm s}} \implies \theta = \tan^{-1}\left(\dfrac{3.0}{17.5}\right) \approx \boxed{9.73^\circ}\)
How would the calculation change if a typical comet in the Oort cloud is only 1 km in diameter?
When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to 4.18×10⁹ kg.
The mass of each comet int he Oort cloud is,
mass = density × Volume
volume of sphere = 4/3(π×r²) where, r = radius of the sphere
From the given,
diameter = 1 km
radius = Diameter / 2 = 1/2(D)
Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)
= 4/3×(π) ×(1/8×10⁶)
Mass = density × volume, where density = 1000 kg/m³
= 1000 × 4/3×(π) ×(1/8×10⁶)
= 4.18 ×10⁹ kg
When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.
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7. It has been suggested that rotating cylinders about 20 km in length and 8 km in diameter be placed in space and used as colonies. The purpose of the rotation is to simulate gravity for the inhabitants. Explain this concept for producing an effective imitation of gravity.
The concept of the centrifugal force is used for producing an effective imitation of gravity. It is an important concept in the mechanics.
What is centrifugal force?when any body is executing circular motion about a fixed axis, an outward force act on that object to balance the body and to execute the circular motion. The outward force is known as the centrifugal force.
It is the pseudo force act in order to balance the centripetal force acting inward during the circular motion.
The centrifugal force is comes into the picture when any body executes circular motion about a fixed axis.
To simulate gravity for the inhabitants, the concept of the centrifugal force is used.
Hence, the concept of the centrifugal force is used for producing an effective imitation of gravity.
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On April 13, 2029 (Friday the 13th!), the asteroid 99942 mi Apophis will pass within 18600 mi of the earth-about 1/13 the distance to the moon! It has a density of 2600 kg/m^3, can be modeled as a sphere 320 m in diameter, and will be traveling at 12.6 km/s.
1)If, due to a small disturbance in its orbit, the asteroid were to hit the earth, how much kinetic energy would it deliver?
2)The largest nuclear bomb ever tested by the United States was the "Castle/Bravo" bomb, having a yield of 15 megatons of TNT. (A megaton of TNT releases 4.184x10^15 J of energy.) How many Castle/Bravo bombs would be equivalent to the energy of Apophis?
Answer:
Explanation:
Volume of asteroid = 4/3 x π x 160³
= 17.15 x 10⁶
mass = volume x density
= 17.15 x 10⁶ x 2600
= 445.9 x 10⁸ kg
kinetic energy
= 1/2 x 445.9 x 10⁸ x( 12.6 )² x 10⁶
= 35.4 x 10¹⁷ J .
2 )
energy of 15 megaton
= 4.184 x 10¹⁵ x 15 J
= 62.76 x 10¹⁵ J
No of bombs required
= 35.4 x 10¹⁷ / 62.76 x 10¹⁵
= 56.4 Bombs .
A white flower (rr) is crossed with a white flower (rr) (purple is dominant). What percent will be purple?
Answer:
0%
Explanation:
There is no purple geneotype with either parents so there will be 0 purple and 100% white
an 8.3 kg mass is attached to a string that has a breaking strength of 1500 N. If the mass is whirled in a horizontal circle of radius 80 cm, what maximum speed can it have?
Answer:
To determine the maximum speed that the 8.3 kg mass can have without breaking the string, we need to consider the tension in the string when it reaches its maximum. At maximum speed, the tension in the string will be equal to the breaking strength of the string.
Given:
Mass (m) = 8.3 kg
Breaking strength of the string (Tension) = 1500 N
Radius of the circle (r) = 80 cm = 0.8 m
The centripetal force required to keep an object moving in a circular path is given by the formula:
F = m * v² / r
Where:
F = Centripetal force
m = Mass
v = Velocity
r = Radius
In this case, the centripetal force is provided by the tension in the string. So we have:
Tension = m * v² / r
Plugging in the values:
1500 N = (8.3 kg) * v² / 0.8 m
To find the maximum speed (v), we can rearrange the equation and solve for it:
v² = (1500 N * 0.8 m) / 8.3 kg
v² ≈ 144.58 m²/s²
v ≈ √(144.58 m²/s²)
v ≈ 12.03 m/s
Therefore, the maximum speed that the 8.3 kg mass can have without breaking the string is approximately 12.03 m/s.
Explanation:
Mass movements occur on slopes because of the pull of gravity.
a. True
b. False
Answer:
true
Explanation:
How do scientists and engineers define work?
Answer:
Force X distance = work
Explanation:
Work on an object = force acting on object X distance
HONI A ball is rolling steady on the floor. (a) Draw and label all the forces acting on the ball. (b) Describe the relationships between all the forces acting on the ball
a) The image is attached to this answer
b) The kinetic friction force affects the forward force of the ball.
What is the relationship between the forces that act on a rolling ball?
The force that opposes a rolling ball's motion is called rolling friction. It slows the ball down by acting in the opposite direction to that of the ball's motion. The weight of the ball and the type of the surface are two variables that affect rolling friction.
The force that a surface uses to maintain the weight of an object that is resting on it is known as the normal force. When a ball is rolling, the normal force exerts itself perpendicular to the surface the ball is moving on. It maintains the ball's weight balance and offers the required reaction force for rolling motion.
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What is the momentum of a 5 kg object that has a velocity of 1.2 m/s?
a) 3.8 kg • m/s
b) 4.2 kg • m/s
c) 6.0 kg • m/s
d) 6.2 kg • m/s
Explanation:
answer is 6.0Kg •m/s because
momentum= mass • velocity
that is 5 • 1.2 = 6
What is the minimum size raceway for the following feeder conductors is:
The motor branch circuit conductors must have a minimum capacity of 125 percent of motor full-load current to comply with Section 430-22. This results in a minimum conductor ampacity of (1.25 x 16.7) 20.9.
When gas condense it ______ heat and temperature _____
A. gain heat, temperature decrease
B. gain heat, temperature increase
C. loses heat, temperature doesn't change
Answer:
C
Explanation:
Relate Bernoulli's principle to the sport of your choice.
Answer:
Daniel Bernoulli – a Swiss physicist and mathematician – discovered that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid’s potential energy. * This is known as the Bernoulli Principle.The Bernoulli principle can also be used to describe a downward lift force, such as that required by speed skiers, cyclists and racing cars. The car, bike and skis need to be pushed down into the ground so a greater frictional force is created
Explanation:
Hope this helps ♡
Newton's Third Law of Motion
Answer:
Whenever one body exerts a force on a second body, the first body experiences a force that is equal in magnitude and opposite in direction to the force that it exerts
Explanation:
Answer: According to Khan Academy "Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.
Explanation: This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself. We sometimes refer to this law loosely as action-reaction, where the force exerted is the action and the force experienced as a consequence is the reaction.
We can readily see Newton’s third law at work by taking a look at how people move about. Consider a swimmer pushing off from the side of a pool, as illustrated below.
A swimmer pushes on the wall with her feet, which causes the wall to push back on her feet due to Newton's third law."
Hope this helps ^_^ and have a great day
Electricity is produced in a hydroelectric plant when moving water turns a turbine.
Which describes this energy transformation from the turning turbine to electricity?
A
kinetic energy into electric energy
B
nuclear energy into electrical energy
С
thermal energy into electric energy
chemical energy into electric energy
Answer:
It involves both energy transformation and energy transfer.
Explanation:
In the hydroelectric power plant, the energy is transformed from kinetic energy to electricity. Therefore, option (A) is correct.
How is the energy transformed in the hydroelectric power plant?In the hydroelectric power plant, electric energy is generated using water from a turbine. The moving water is used to propel the turbines. At first, a large amount of the flowing water is stored across the dams. The kinetic energy of moving water is stored as potential energy in the dams.
Then the stored water will fall on the turbines and rotate the turbines which causes the potential energy of water to be used to turn the turbines which is mechanical energy.
Therefore, the potential energy of water is converted into mechanical energy. Then the rotating turbines generate electricity and the mechanical energy is converted into electrical energy.
Therefore, the hydroelectric power plant converts the kinetic energy of water into electrical energy.
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During a car collision, the knee, thighbone, and hip can sustain a force no greater than 4000 N. Forces that exceed this amount could cause dislocations or fractures. Assume that in a collision a knee stops when it hits the car's dashboard. Also assume that the mass of the body parts stopped by the knee is about 20% of the total body mass. The person with a mass of 50 kg is initially traveling at 11 m/s (25 mi/h). What minimum stopping time interval (in seconds) is needed to avoid injury to the knee
) Describe how the pith-ball and copper rod interact before the ball touches the rod. What does their interaction tell you about the movement of charge in the copper rod
A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. All parts are 4 points each.
Complete Question
1 a A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. How much work is done by the girl on the wagon?
1b A farmhand pushes 20 ㎏ bale of hay 4m across the floor of the barn if she exerts a horizontal force of 60 N on the hay, how much work is done? (5 pts)
All parts are 4 points each
Answer:
1a
\(W = 242.5 \ J\)
1b
\(W = 240 \ J\)
Explanation:
Considering question a
From the question we are told that
The mass of the toy baby stroller is \(m = 5.0 \ kg\)
The distance covered is \(d = 7.0\ m\)
The force the girl applies on the handle is \(F = 40 \ N\)
The angle at which this force is applied is \(\theta = 30^o\)
Generally the workdone is mathematically represented as
\(W = F_x * d\)
Here \(F_x\) is the force along the horizontal axis , this is mathematically represented as
\(F_x = F cos (\theta )\)
=> \(F_x = 40 * cos(30 )\)
=> \(F_x = 34.64 \ N\)
So
\(W = 34.64 * 7\)
=> \(W = 242.5 \ J\)
Considering question b
From the question we are told that
The mass of the toy baby stroller is \(m = 20 \ kg\)
The distance covered is \(d = 4 \ m\)
The force the girl applies on the handle is \(F = 60 \ N\)
Generally the workdone is mathematically represented as
\(W = F * d\)
=> \(W = 60 * 4\)
=> \(W = 240 \ J\)
assume this car is driven off a cliff. How many arrows of force need to be drawn in the free body diagram? Assum no air resistance
Answers:
five
one
four
three
Answer:
4
Explanation:
friction
weight
normal reaction
force to overcome inertia
Answer:
1
Explanation:
--->
An AC circuit has resistor, capacitor and inductor connected in series. It is
connected to a voltage supply at resonant frequency. If the frequency of the
voltage supply is reduced, which of the following quantities will be reduced? *
Answer:
Z = (R^2 + X^2)^1/2
At the resonant frequency, the quantity X equal zero and
w L - 1 / (w * C) equals zero where w is omega the angular frequency
1. The wave speed of a wave through a medium is equal to the frequency times the wavelength. When the frequency changes, the wavelength must change to compensate. Why can't the velocity of the wave change?
a. The velocity of a mechanical wave is dependent on the medium
b. The wavelength is separate from the velocity, so it can change while the wavelength cannot
c. The velocity of the wave cannot change because it is set by the force that starts the oscillation
2. If a water wave has a velocity of 4.5 m/s and has a frequency of 25 Hz, what is the wavelength of the wave?
a. 0.80 m
b. 5.6 m
c. 0.18 m
Only answer if you know the right answer pls :)
1. The correct statement is "The velocity of a mechanical wave is dependent on the medium", and 2. The wavelength of the water wave is 0.18 m. The correct option for Question 1. is A and for Question 2 is C.
A mechanical wave is a type of wave that requires a medium to travel through, such as a solid, liquid, or gas. These waves propagate by transferring energy from one particle of the medium to the next. Examples of mechanical waves include sound waves, water waves, and seismic waves.
1. A. The velocity of a mechanical wave is dependent on the medium through which it travels. The speed of sound waves, for example, is different in air than it is in water. The velocity of a wave is not determined by its frequency or wavelength alone.
2. The formula relating wave speed, frequency, and wavelength is:
Wave speed = frequency x wavelength
Rearranging this formula to solve for wavelength, we get:
Wavelength = wave speed/frequency
Substituting the given values, we get:
Wavelength = 4.5 m/s / 25 Hz
Wavelength = 0.18 m
So, the wavelength of the water wave is 0.18 m.
Hence, The correct option for Question 1 is A. And for Question 2 is C.
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a transverse wave and a compressional wave. Give an example of each type.
A transverse wave moves perpendicular to the particle vibration, while a compressional wave moves parallel to the particle vibration. Light waves are an example of a transverse wave, and sound waves are an example of a compressional wave.
A transverse wave is a type of wave in which the particles of the medium vibrate perpendicular to the direction of the wave's propagation. This means that as the wave moves forward, the particles move up and down or side to side. An example of a transverse wave is a light wave. When light travels through space, the electric and magnetic fields oscillate perpendicular to the direction of the wave.
A compressional wave is a type of wave in which the particles of the medium vibrate parallel to the direction of the wave's propagation. This means that as the wave moves forward, the particles move back and forth, creating compressions and rarefactions in the medium. An example of a compressional wave is a sound wave. When sound travels through air, the molecules of air vibrate back and forth, creating areas of high pressure (compressions) and low pressure (rarefactions).
In summary, a transverse wave moves perpendicular to the particle vibration, while a compressional wave moves parallel to the particle vibration. Light waves are an example of a transverse wave, and sound waves are an example of a compressional wave.
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A ball is dropped. Assuming free fall, what is its initial speed?
For any freely falling item, the acceleration in the kinematic equations is -9.8 m/s/s, whether or not this is explicitly stated.
The supplied problem informs us that a ball was dropped and is supposed to be falling freely. Since the problem does not specify whether any other forces were present to influence the ball's motion, we must assume that the initial speed is v0=0 m/s.
Free-falling accelerates at a rate of 9.8 m/s2, which is referred to as the acceleration owing to gravity because it is being drawn towards the center of the earth. This indicates that a=9.8m/s2 is the value of the initial and final accelerations.
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Why does everyone trust gravity?(Explained)(Will Give Brainliest)
Answer:
Because gravity makes you able to stand and move around
Gravity can't fail
it can fail only in astronuts camp and in space
Explanation:
✌❤
Yh....
:)
given that two vectors A=i,2j-2k and B=6i+3j+2k find A +B
Answer:
7i, 5j, 0k
Explanation:
Add up the two vectors.
Add
i+i 1+6 = 7i
j+j 2+3 = 5j
k+k -2+2 = 0k
therefore A+B = (7i, 5j, 0k)
Explain how the energy from the sun is transferred to fossil fuel?
Answer:
Fossil fuels are energy sources that come directly from nature. First, the sun's radiant energy is stored as chemical energy in plants by photosynthesis. When the plants die, they start decaying. After many years, the plants are turned into fossil fuels.
Explanation:
Fossil fuels rely on the Sun's energy because the energy in fossil fuels came from plants and algae as they performed photosynthesis, which requires sunlight.
When sunlight strikes a plant, some of the energy is trapped through photosynthesis and is stored in chemical bonds as the plant grows.
(u should paraphrase it)
which is an example of a scientist using a mathematical model to describe the weather?
A. The scientist finds an equation that predicts how long a rainstorm will last.
B. The scientist says that a lightning bolt is like a long snake.
C. The scientist uses cotton balls to represent clouds, and grass to represent the ground.
D. The scientist thinks of a cloud as a giant ball of cotton candy.
(its A)
Answer:
The scientist finds an equation that predicts how long the rainstrom will last.
Explanation:
I just answered it :)
[3 marks]
A particle of mass 100 g executes simple harmonic motion about x = 0 with angular frequency ω = 10 s-1. Its total mechanical energy is Etot = 0.45 J. Find the displacement of
the particle when its speed is 2 m/s. [3 marks]
Answer:
22.4 cm
Explanation:
The total mechanical energy of the particle Etot = K + U where K = kinetic energy = 1/2mv² where m = mass of particle = 100 g =0.1 kg and v = speed of particle = 2 m/s and U = potential energy = 1/2kx² where k = spring constant and x = displacement
Etot = K + U
U = Etot - K
U = Etot - 1/2mv²
Since Etot = 0.45 J, substituting the values of the other variables into the equation, we have
U = Etot - 1/2mv²
U = 0.45 J - 1/2 × 0.1 kg × (2 m/s)²
U = 0.45 J - 1/2 × 0.1 kg × 4 m²/s²
U = 0.45 J - 0.1 kg × 2 m²/s²
U = 0.45 J - 0.2 J
U = 0.25 J
Now U = 1/2kx² and the angular frequency ω = √(k/m) ⇒ ω²m = k
So, U = 1/2ω²mx²
x² = 2U/ω²m
x = (√2U/m)/ω
since ω = 10 rad/s, substituting the values of the variables into the equation, we have
x = (√2U/m)/ω
x = (√2 × 0.25 J/0.1 kg)/10 rad/s
x = (√0.5 J/0.1 kg)/10 rad/s
x = (√5 J/kg)/10 rad/s
x = 2.24/10 m
x = 0.224 m
x = 22.4 cm
Is my answer correct?
Answer: YES ITS CORRECT
Explanation:
A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.32 cm. A compressive force of F = 5000 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.
The length of the stack shortens by 4.88 x 10-6 m.
What is Young's brass modification?Brass and steel have Young's modules of 1.0 and 2 respectively, 1010N/m2. Under the same force, a brass wire of the same length and a steel wire with radii of RB and RS, respectively, are both expanded by 1 mm.
The change in length of each cylinder due to the compressive force can be found using the formula:
ΔL = (F * L) / (A * E)
First, let's find the cross-sectional area of each cylinder:
A = π * r² = π * (0.32 cm)² = 0.3217 cm²
L = Lcopper + Lbrass
L = 2 * Lcopper
Ftotal = Fbrass + (-Fcopper) = Fbrass - Fbrass = 0
Since the total force on the stack is zero, the amount by which the length of the stack decreases is the same as the amount by which the length of the brass cylinder decreases:
ΔL = (Fbrass * Lbrass) / (Abrass * Ebrass)
ΔL = (5000 N * Lbrass) / (0.3217 cm²* 9.0 x 10¹⁰ N/m²)
ΔL = (1.554 x 10⁻⁴ m/N) * Lbrass
V = π * r² * Lbrass
Lbrass = V / (π * r²)
Lbrass = 1 cm / (π * (0.32 cm)^2)
Lbrass = 3.14 cm
Finally, we can substitute this value into the equation for ΔL:
ΔL = (1.554 x 10⁻⁴ m/N) * 3.14 cm
ΔL = 4.88 x 10⁻⁶ m
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