Given parameters:
Frequency of the wave = 1520kHz = 1520 x 10³Hz
Unknown:
Wavelength of the radio photon = ?
Energy of the wave = ?
Solution:
The wavelength of any electromagnetic wave can found using the expression below;
C = f x ∧
Where C is the velocity of light = 3 x 10⁸m/s
f is the frequency of the wave
∧ is the wavelength
Since the unknown is ∧, input the known parameters and solve for it;
3 x 10⁸ = 1520 x 10³ x ∧
Wavelength = [tex]\frac{3 x 10^{8} }{1520 x 10^{3} }[/tex]
Wavelength = [tex]\frac{3 x 10^{8} }{1.52 x 10^{6} }[/tex]
Wavelength = 1.97 x 10²m
ii. Energy of the wave;
Energy of a wave = hf
where h is the planck's constant = 6.63 x 10⁻³⁴ J Hz⁻¹
f is the frequency of the wave
Input the parameters and solve;
Energy of the wave = 6.63 x 10⁻³⁴ x 1.52 x 10⁶
= 10.1 x 10⁻²⁸J
The energy of this wave is 10.1 x 10⁻²⁸J
Wavelength of the wave = 1.97 x 10²m
Energy of the wave = 10.1 x 10⁻²⁸J
Given:
Frequency of the wave = 1520kHz = 1520 x 10³Hz
To find:
Wavelength of the radio photon = ?
Energy of the wave = ?
Calculation of Wavelength:The wavelength of any electromagnetic wave can found using the expression below:
c = f * ∧
Where,
c is the velocity of light = 3 x 10⁸m/s
f is the frequency of the wave
∧ is the wavelength
On substituting the values:
3 x 10⁸ = 1520 x 10³ x ∧
Wavelength = 1.97 x 10²m
Calculation of Energy of the wave:Energy of a wave = h*f
where,
h is the Planck's constant = 6.63 x 10⁻³⁴ J Hz⁻¹
f is the frequency of the wave
On substituting the values:
Energy of the wave = 6.63 x 10⁻³⁴ x 1.52 x 10⁶
Energy of the wave = 10.1 x 10⁻²⁸J
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The equation of state of a certain gas is p(V −b) = RT, where b is a constant. What order of magnitude do you expect b to be? Show that the internal energy of this gas is a function of temperature only
Answer:
LT 23 don't ask how I got it
PHYSICS 1403
Lab Homework - Friction on a Ramp
A laborer wants to move crates containing bottles of olive oil from a truck to the ground by sliding them
along a ramp. The ramp is 6 m long and is at an angle of 25º. There is friction on the ramp for the first
crate. The laborer doesn't know that there is a small leak in one of the bottles. The leak leaves a layer of
oil on the ramp. The oil creates a frictionless surface for the second crate Wayne sends down the ramp. At the bottom of the ramp, the speed of the second crate (without friction) is 2.5 the speed of the first crate (with friction). Find the coefficient of kinetic friction. Hint: this is a multistep problem that is
be solved using only energy equations. Do not use kinematics or you will not receive full
credit, even if your answer is correct. Use conservation of energy and start with the frictionless case.
Hi there!
Hi there!
We can begin by simplifying the work-energy theorem for Crate 2.
Since there is no friction, there is no energy dissipated. Thus, the initial energy is equal to the final energy.
Initially, we only have gravitational potential energy (U = mgh), and when the box has fully slid down, it only has kinetic energy (KE = 1/2mv²), therefore:
[tex]E_i = E_f\\\\mgh = \frac{1}{2}mv^2[/tex]
We can cancel out the mass and solve for velocity.
[tex]gh = \frac{1}{2}v^2\\\\v^2 = 2gh \\\\v = \sqrt{2gh}[/tex]
We must use right triangle trigonometry to solve for the HEIGHT given the ramp's length (hypotenuse).
We can use sine:
[tex]sin\theta = \frac{\text{h}}{L} \\\\Lsin\theta = h = 6 * sin(25) = 2.5357 m[/tex]
Now, solve for velocity.
[tex]v = \sqrt{2(9.8)(2.5357)} = 7.05 \frac{m}{s}[/tex]
Since this is 2.5 times the speed of the first crate, we know that the final velocity of crate 1 is:
[tex]v_1 = \frac{v}{2.5} = 2.82 \frac{m}{s}[/tex]
Crate 1:
In this instance, we have friction. Recall the following.
[tex]F_f = \mu N[/tex]
On an incline, the normal force is equivalent to the cosine of the force of gravity, so:
[tex]N = mgcos\theta[/tex]
Now, create an equation for the force due to friction.
[tex]F_f = \mu mgcos\theta[/tex]
The work done by any force is:
[tex]W = F \cdot d\\\\W_f = \mu mgdcos\theta[/tex]
In this instance, d = the ramp's length, or 6 m.
Now, we can use the work-energy theorem.
Ei = Ef
However, there is energy dissipated; we can call this Wf (Work due to friction). Therefore:
Ei - Wf = Ef
Now, we can rearrange to solve for Wf:
Ei - Ef = Wf
Like above, there is initially only GPE (U = mgh) and finally only KE (K = 1/2mv²), so:
[tex]mgh - \frac{1}{2}mv^2 = \mu mgdcos\theta[/tex]
Solve for the coefficient of friction. Begin by canceling out the mass and multiplying all terms by 2:
[tex]2mgh - mv^2 = 2\mu mgdcos\theta\\\\2gh - v^2 = 2\mu gdcos\theta\\\\\mu = \frac{2gh - v^2}{2gdcos\theta}\\\\\mu = \frac{2(9.8)( 2.5357)- (2.82)^2}{2(9.8)(6)cos(25)}[/tex]
Evaluate:
[tex]\boxed{\mu = 0.39}[/tex]
Two Earth satellites, A and B, each of mass m = 940 kg , are launched into circular orbits around the Earth's center. Satellite A orbits at an altitude of 4500 km , and satellite B orbits at an altitude of 11100 km .
c) How much work would it require to change the orbit of satellite A to match that of satellite B?
Answer:
The required work done is [tex]6.5\times10^{9}\ J[/tex]
Explanation:
Given that,
Mass of each satellites = 940 kg
Altitude of A = 4500 km
Altitude of B = 11100 km
We need to calculate the potential energy
Using formula of potential
[tex]U_{A}=-\dfrac{Gm_{A}m_{E}}{r_{A}}[/tex]
Put the value into the formula
[tex]U_{A}=-\dfrac{6.67\times10^{-11}\times940\times5.98\times10^{24}}{6.38\times10^{6}+4.50\times10^{6}}[/tex]
[tex]U_{A}=-3.44\times10^{10}\ J[/tex]
We need to calculate the potential energy
Using formula of potential
[tex]U_{B}=-\dfrac{Gm_{B}m_{E}}{r_{A}}[/tex]
Put the value into the formula
[tex]U_{B}=-\dfrac{6.67\times10^{-11}\times940\times5.98\times10^{24}}{6.38\times10^{6}+11.10\times10^{6}}[/tex]
[tex]U_{B}=-2.14\times10^{10}\ J[/tex]
We need to calculate the value of [tex]k_{A}[/tex]
Using formula of [tex]k_{A}[/tex]
[tex]k_{A}=-\dfrac{1}{2}U_{A}[/tex]
Put the value into the formula
[tex]k_{A}=\dfrac{1}{2}\times3.44\times10^{10}[/tex]
[tex]k_{A}=1.72\times10^{10}\ J[/tex]
We need to calculate the value of [tex]k_{B}[/tex]
Using formula of [tex]k_{B}[/tex]
[tex]k_{B}=-\dfrac{1}{2}U_{B}[/tex]
Put the value into the formula
[tex]k_{B}=\dfrac{1}{2}\times2.14\times10^{10}[/tex]
[tex]k_{B}=1.07\times10^{10}\ J[/tex]
We need to calculate the work done
Using formula of work done
[tex]W=\Delta K+\Delta U[/tex]
[tex]W=(k_{B}-k_{A})+(U_{B}-U_{A})[/tex]
[tex]W=(-\dfrac{U_{B}}{2}+\dfrac{U_{A}}{2})+(U_{B}-U_{A})[/tex]
[tex]W=\dfrac{1}{2}(U_{B}-U_{A})[/tex]
Put the value into the formula
[tex]W=\dfrac{1}{2}\times(-2.14\times10^{10}+3.44\times10^{10})[/tex]
[tex]W=6.5\times10^{9}\ J[/tex]
Hence, The required work done is [tex]6.5\times10^{9}\ J[/tex]
a girl on a bridge throws a rock straight down at -12.5 m/s. it hits the ground 38.4 m below. How much time did it take?
[tex]\\ \rm\rightarrowtail s=ut+\dfrac{1}{2}gt^2[/tex]
[tex]\\ \rm\rightarrowtail 38.4=12.5t+4.9t^2[/tex]
On solving further we get
t=1.8sA girl on a bridge throws a rock straight down at -12.5 m/s.the time required to hit the ground 38.4 m below is 4.35 s.
Given:
Speed, u = -12.5 m/s
Distance, d = 38.4 m/s
There are three equations of motion present. For the given question, we will use the second equation of motion.
The second equation of motion helps in the determination of velocity, time, and distance. For the given question, we have initial velocity, and distance, to find time we can use the second equation of motion.
From the second equation of motion:
[tex]s = ut + 1/2 at^2\\38.4 = -12.5t - 9.8/2* t^2\\\4.9t^2 - 12.5 t -38.4 = 0[/tex]
Solving the equation, the required time is:
[tex]t = 4.35 s[/tex]
Hence, the time required to hit the ground 38.4 m below is 4.35 s.
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what is lighting write its causes
Answer: lightning is the occurrence of a natural electrical discharge of very short duration and high voltage between a cloud and the ground or within a cloud, accompanied by a bright flash and typically also thunder.
the causes of lightning:
Lightning happens when the negative charges (electrons) in the bottom of the cloud are attracted to the positive charges (protons) in the ground.
In the early stages of development, air acts as an insulator between the positive and negative charges in the cloud and between the cloud and the ground. When the opposite charges build up enough, this insulating capacity of the air breaks down and there is a rapid discharge of electricity that we know as lightning.
g A satellite is orbiting planet Earth with a linear speed of 3,914 m/s. The orbital radius of the satellite in km is:
The orbital radius of the satellite orbiting planet Earth at the given linear speed is 26,000 km.
Orbital radius of the planetThe orbital radius of the planet is the distance of the planet from the center of the Earth. The orbital radius of the planet is calculated as follows;
[tex]v = \sqrt{\frac{GM}{r} }[/tex]
where;
M is mass of EarthG is gravitational constantr is the orbital radiusr = GM/v²
r = (6.67 x 10⁻¹¹ x 5.97 x 10²⁴)/(3,914²)
r = 2.6 x 10⁷ m
r = 26,000 km
Thus, the orbital radius of the planet is 26,000 km.
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A student is moving a magnet through a coil of wire. Which of these indicates the strength of the electric current in the coil?
Answer:
Can you help me with another question
Explanation:
The electric current in the coil depends on changes in the magnetic field of the magnet.
Electricity is generated when there is relative motion between a conductor and a magnetic field. As the magnet is being moved through the coil of wire, the magnetic flux around the conductor changes and current is induced on it.
Hence, the strength of the electric current in the coil is determined by changes in the magnetic field of the magnet.
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How can you strengthen the magnetic force of an electromagnet? (check all that apply)
(I'M TAKING TEST PLEASE HELP)
A. Increase the voltage of the battery attached to the electromagnet.
B. Increase the wire coils wrapped around the metal core.
C. Spread out the wire coils wrapped around the metal core.
D. Increase the number of batteries attached to the electromagnet.
1 wrapping the coil around a piece of iron (such as an iron nail)
2 adding more turns to the coil.
3 increasing the current flowing through the coil.
A transformer has 500 volts applied to the primary side and 10,000 volts are measured
on the secondary side. If 10mA is applied to the primary side. What is the anticipated
current on the secondary side? Is this a step-up or step down transformer?
Answer:
0.5 mA, step-up transformer
Explanation:
Power is constant
V * I = constant
500 V * 10 mA = 10,000 V * I
so I = 0.5 mA
From 500 V increases to 10,000 V, so it is a step-up transformer
Electric field lines moves away from positive to wards negative?
The vector force on the unit positive charge placed at any location in the field defines the strength of the electric field at that point. The charge used to determine field intensity (field strength) is known as the test charge. Now, a field line is defined as a line to which the previously mentioned field strength vectors are tangents at the relevant places. When we study positive charge field lines, the field strength vectors point away from the positive charge. If there is a negative charge anywhere in the vicinity, the field lines that began from the positive charge will all terminate at the negative charge if the value of the negative charge is the same as the value of the positive charge. Remember that the number of field lines originating from positive charge is proportional to the charge's value, and similarly, the number of field lines terminating at negative charge is proportionate to the charge's value. As a result, if all charges are equivalent, all lines originating from the positive charge terminate at the negative charge. If the value of the positive charge is greater than the value of the negative charge, the number of lines ending at the negative charge will be proportionally less than the number of lines beginning at the positive charge. The remaining lines that do not end at the negative charge will go to infinity. If the positive charge is less, all lines from it terminate at a negative charge, and any other reasonable number of ines terminate at a negative charge from infinity. We should also keep in mind that the number of lines that run perpendicular to the field direction across a surface of unit area is proportional to the field strength at that location. As a result, lines are dense in the strong field zone and sparse in the low intensity region.
A fish scale, consisting of a spring with spring constant k=200N/m, is hung vertically from the ceiling. A 2.6 kg fish is attached to the end of the unstretched spring and then released. The fish moves downward until the spring is fully stretched, then starts to move back up as the spring begins to contract.
What is the maximum distance through which the fish falls?
Answer:
Explanation:
The fish is initially at rest and it is also at rest when the spring is fully stretched at the maximum distance.
Change in gravity potential energy = change in spring potential energy
mgh = 1/2kh^2
Assume gravity constant g is 10m/s^2
2.6*10*h = 1/2*200*h^2
100h^2 - 26h = 0
2h(50h - 13) = 0
h = 0 or h = 13/50 = 0.65m
h = 0 is before the spring is stretched
So the maximum distance is 0.65m.
The maximum distance through which the fish falls is 0.25m.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.
Given parameters:
Spring constant: k = 200 N/m.
Mass of the fish: m =2.6 kg.
Let the maximum distance through which the fish falls, i.e. the maximum stretched distance of the spring = x.
From law of conservation of energy:
Change in gravity potential energy = change in potential energy
mgx = 1/2kx^2
2.6×9.8×h = 1/2*200*h^2
h(100h - 2.6×9.8) = 0
h = 0 or h = 2.6×9.8/100 = 0.25m
As h = 0 is the equilibrium position; the maximum distance through which the fish falls is 0.25m.
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The Earth rotates once every day. What is the velocity of a person on its surface, if the radius of Earth is 6 million meters
Answer:
v = ω R
number of seconds in 24 hrs = 24 * 3600 = 86400 s / da = T (period)
f = 1 / T
ω = 2 Π f = 2 Π / T = 2 Π / 86400
v = 2 Π / 8.64E4 * 6.0E6 = 436 m / s
Check:
S = 2 Π * 6.0E6 = 3.77E7 m/da
S / T = 3.77E7 m/da / 8.64E4 s/da = 436 m / s
2
In 1987, the fastest auto race in the United States was the Busch Clash in Daytona, Florida. That year, the
winner's average speed was about 318 km/h. Suppose the kinetic energy of the winning car was 3.80 MJ. What
was the mass of the car and its driver?
Since the winner's average speed was about 318 km/h and the kinetic energy of the winning car was 3.80 MJ. So, the mass of the car and its driver is 974 kg.
Kinetic energyThe kinetic energy of the car is given by K = 1/2mv² where
m = mass of car and driver and v = average speed of car = 318 km/h = 318 × 1000 m/3600 s = 88.33 m/sMass of the car and driverMaking m subject of the formula, we have
m = 2K/v²
Since K = 3.80 MJ = 3.80 × 10⁶ J, substituting the values of the variables into the equation, we have
m = 2K/v²
m = 2 × 3.80 × 10⁶ J/(88.33 m/s)²
m = 7.6 × 10⁶ J ÷ (7802.78 m²/s²)
m = 7600000 J ÷ 7802.78 m²/s²
m = 974.01 kg
m ≅ 974 kg
So, the mass of the car and its driver is 974 kg
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An athlete needs to get across a river. She must reach from point A on one bank to point B, which is directly across from point A on the opposite bank. If she wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should she swim? Let her swimming/rowing speed relative to the water be 2.0 mi/h, and her running speed along the bank be 5 mi/h. The river flows downstream at 1.5 mi/h. (The rule of the competition stipulates that the athletes must swim first from point A, then run to reach point B.)
Answer:
θ = 90°
Explanation:
Speed at which she can swim in stationary water; v_m = 2 mi/h
Speed at which the river is flowing downstream; v_r = 1.5 mi/h
This can be illustrated in a form of triangle as attached. Where θ is the angle to the x-axis.
With respect to the bank of the river, the total speed of the girl is;
V_R = v_r + v_m
Now the horizontal component is;
V_R = v_r + v_m(cos θ)
While the vertical component is;
V_R = v_m(sin θ)
Now, the total time taken to get across the river is;
T = width of river/vertical component of total speed
Let's denote width of river as d.
Thus;
T = d/(v_m(sin θ))
Now, we are told she wishes o minimize the total time(T) .
Since the width(d) of the river is constant, and v_m is fixed, then it means the only variable we have is the angle θ.
Now, for the total time to be minimized, the denominator has to be at maximum.
Since angle θ is the only one that is variable, we have to find the value of angle θ that will make sin θ to be at a maximum value.
Now, for sin θ to be maximum, it means it has to be equal to 1.
Thus, θ = sin^(-1) 1
θ = 90°
5. Use the algebraic technique for adding vectors to find the total displacement of a person who walks the following three paths (displacements-on a flat field. First, she walks 25.0 m in a direction 49.00 north of east. Then she walks 23.0 m heading 15.00 north of east. Finally, she turns and walks 32.0 m in a direction 68.0° south of east.
Answer:
jjjjjjjjjjjjjjjj
Explanation:
Which two elements have the same number of valence electrons?
A. C and o
B. Na and Mg
C. Cl and F
D. Ga and Ge
If the period of a wave is 20 s, then what is its frequency?
How does the organization know what their needs and expectations are ?
Answer:
When scientific knowledge changes overtime, it can be to anything at anytime. The Explosion in what we know about life form is important and change because we might have a plant we can’t touch or something like that. That is not the only thing that is important about how scientific knowledge change over time it is also the food pyramid. We know that especially The Explosion in What We Know About Life Forms, is because there might be like a new plant we can’t touch because say it is potions or something. According to the life forms article people are wondering if scientist have found all the living species on earth yet
Explanation:
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force of 187 N acts on a 7.3 kg bowling ball for 0.40 s.
1. What is the change in momentum of the ball?
2. What is its change in velocity?
Change in momentum of the ball is 74.8 kg m/s
change in velocity of the ball is 0.25 m/s
What is change in momentum?
Change in momentum is the product of mass and change in velocity this is also equal to impusle which ia a product of force and time.
Change in momentum = m ( v - u ) = Impulse = f * t
m = mass
change in velocity = v - u
v = final velocity
u = initial velocity
f = force
t = time
Given:
f = 187 N
m = 7.3 kg
t = 0.40 s
!.
Change in momentum = impulse = f * t
Change in momentum = 187 * 0.40
Change in momentum = 74.8 kg m/s
2.
Change in momentum = m * ( v - u )
( v - u ) = change in momentum / m
( v - u ) = 187 / 7.3
( v - u ) = 10.25 m/s
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Which particles have more speed: Solid or Liquid? Why?
1) A pile driver with mass 1x10⁴ kg strikes a pile with velocity 10.0 m/s. What is the kinetic energy of the driver as it strikers the pile?
Explanation:
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Solar energy can be directly converted to elec-trical energy by which of the following de-vices?
Answer: (c) solar cell
Explanation:
What is the final velocity of a drag racer that has constant acceleration and finishes a
1/4 mile race in 15 seconds?
Answer:
120 mph
Explanation:
Given:
Δx = 0.25 mi
v₀ = 0 mi/s
t = 15 s
Find: v
Δx = ½ (v + v₀) t
0.25 mi = ½ (v + 0 mi/s) (15 s)
v = 0.0333 mi/s
v = 120 mi/h
QUESTION 4
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If a car is moving at 37 km/h for 42 min, what is the distance that the car has traveled. (Give your answer in terms of meters and round to
the nearest whole number.)
Answer:
s=25956m
Explanation:
first 37 km/h is 10.3 m/s
then 42 min is 2520s
finally s=vt => s=2520s*10.3m/s
s=25,956m
Answer:
25956
Explanation:
Convert 37km/h to m/s =10.3m/s
Where s=vt
S=10.3×2520
S=25,956
S=25,000
A skydiver has a mass of 80 kg. When she is at a height of 900 m, her GPE is
705,600 J. She is falling at a velocity of 32 m/s downward. What is her ME at this
point?
Answer:
11.25 J
Explanation:
GPE=wxh=80kg over 900m=11.25 J
A woman 1.2 m tall lies along the axis of a space vehicle traveling at 0.87c. What is her height as measured by a stationary observer?
Answer:
L = L0 (1 - v^2/c^2) where L0 is proper length and L the measured length
L = 1.2 (1 - .87^2)^1/2 m = .59 m
A student placed a ladder up against a wall as shown below. The normal force applied by the wall in the ladder will be directed:
Up and to the right
To the left
Down and to the left
Straight up
The normal force applied by the wall in the ladder will be directed to the left. Hence, option (B) is correct.
What is normal force?The component of a contact force in mechanics known as the normal force is perpendicular to the surface that an item encounters.
In this context, normal refers to perpendicular in a geometric sense rather than "usual" or "expected" as it does in everyday parlance. Gravity acts on a person standing stationary on a platform; gravity would otherwise draw the person down into the Earth's core absent a countervailing force from the resistance of the platform's molecules, known as the "normal force."
As normal force acts perpendicular to the surface, the normal force applied by the wall in the ladder will be directed to the left.
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Which of the following statements about charging objects is FALSE. Select one: If an object gains electrons it becomes positively charged. If an object gains electrons it becomes negatively charged. Charges cannot travel in an insulator. Charges can travel in a conductor.
Answer:
If an object gains electrons it becomes positively charged.
Explanation:
Electrons negatively charge.
Please Help Me
When you apply brakes on a bicycle, the bicycle’s ________________________
energy is not destroyed; instead, the bicycle’s _____________________energy is
transformed into thermal energy. The __________________amount of energy remains the same.
Answer:
1. Acceleration begins to slow down quickly
2. Kenetic
3. Mass
Answer:
Acceleration slows down
Kinetic
Mass
Explanation:
A train has a mass of 1.50 x 107 kg. If the engine can
exert a net force of 7.50 x 105 N on the train, how much
time is required for the train to reach a speed of 80.0
km/h, if the train begins from rest?
vi=0, vf=80km/hr=22m/s, m=1.5x107kg, F = 7.5x105N.
a=F/m, t=(vf-vi)/a= (vf-vi)m/F = (22m/s)(1.5x107kg)/7.5x105N = 440 kg m/sN = 440 s or 7mins