Answer:
The dependent variable is the cook time of the egg
The higher the temperature of the water, the faster the egg will cook, then the dependent variable is the temperature of the water, therefore the correct answer is the option C
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
Thermal energy can be produced with help of various means such as by burning fossil fuels, with the help of solar energy.
The correct direction for heat flow is from hot to cold because heat always moves naturally from a higher thermal potential to a lower thermal potential unless additional work is provided by an external machine.
Thus, The dependent variable is the water's temperature, and since the egg will cook more quickly at higher water temperatures, option C is the best choice.
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How many electrons flow through a point in a wire in 7.00 s if there is a constant current of I = 4.35 A?
Answer:
1.90×10²⁰ Electrons
Explanation:
From the question,
Q = It.................... Equation 1
Where Q = charge flowing through the wire, I = current, t = time
Given: I = 4.35 A, t = 7.00 s
Substitute these values into equation 1
Q = 4.35(7.00)
Q = 30.45 C.
But,
1 electron contains 1.6×10⁻¹⁹ C
therefore,
30.45 C = 30.45/1.6×10⁻¹⁹ electrons
= 1.90×10²⁰ Electrons
What is the magnitude of the force of a +25 microCoulomb charge exerts on a +2.5 miliCoulomb charge 28 cm away?
Answer:
7.175 N
Explanation:
From coulomb's law of electrostatics,
F = kQq/r²........................... Equation 1
Where F = magnitude of the force, M = first Charge, q = second Charge, r = distance between the charges and k = coulomb's constant
Given: Q = +25 micro-Coulomb = + 25×10⁻⁶ C, q = +2.5 micro-coulomb = +2.5×10⁻⁶ C, r = 28 cm = 0.28 m.
Constant: k = 9×10⁹ Nm²/C²
Substitute these values into equation 1
F = 9×10⁹(25×10⁻⁶)(2.5×10⁻⁶)/ 0.28²
F = 562.5×10⁻³/0.0784
F = 7.175 N
A light plane must reach a speed of 33 m/s for takeoff. How long a runway is needed if the constant acceleration is 3.0 m/s2
Answer:
181.5 m
Explanation:
From the question,
Applying the equation of motion,
v² = u²+2as................. Equation 1
Where a = acceleration of the light plane, v = final velocity of the light plane, u = initial velocity of the light plane, s = length of the runway.
make s the subject of formula in equation 1
s = (v²-u²)/2a.............. Equation 2
Given: v = 33 m/s, u = 0 m/s(from rest), a = 3.0 m/s²
Substitute these values into equation 2
s = (33²-0²)/(2×3)
s = 1089/6
s = 181.5 m
A man has a total of 200 apples divided evenly among 5 boxes. How many apples are in each box?
. What are the units for your answer?
/
Answer:
40 units
Explanation:
200 divided evenly by 5 is 40. Therefore there are 40 units
(200 apples) / (5 boxes) = 40 apple/box
1. How does the de Broglie wavelength of an electron change if its momentum increases?
a. The de Broglie wavelength of the electron increases.
b. The de Broglie wavelength of the electron decreases.
c. The de Broglie wavelength of the electron is unchanged.
2. How does the de Broglie wavelength of an electron change if its kinetic energy decreases?
a. The de Broglie wavelength of the electron increases.
b. The de Broglie wavelength of the electron decreases.
c. The de Broglie wavelength of the electron is unchanged.
Answer:
1. The de Broglie wavelength of the electron decreases if its momentum increases.
b. The de Broglie wavelength of the electron decreases is the correct answer
2. The de Broglie wavelength of the electron increases as the kinetic energy decreases.
a. The de Broglie wavelength of the electron increases is the correct option
Explanation:
1. The relationship between de Broglie wavelength, λ and momentum ρ is given by
λ = h/ρ
Where λ is the de Broglie wavelength
h is Planck's constant and
ρ is the momentum
From the formula, the de Broglie wavelength, λ varies inversely with the momentum, ρ. Hence, as the de Broglie wavelength increases the momentum decreases; similarly, as the de Broglie wavelength decreases, the momentum increases.
For question 1, The de Broglie wavelength of the electron decreases if its momentum increases.
b. The de Broglie wavelength of the electron decreases is the correct answer
2. From
λ = h/ρ
ρ = mv
∴ λ = [tex]\frac{h}{mv}[/tex]
Where m is mass
and v i velocity
Recall that Kinetic energy K.E is given by
K.E = [tex]\frac{1}{2}mv^{2}[/tex]
[tex]E_{K} = \frac{1}{2}mv^{2}[/tex]
[tex]E_{K}[/tex] is the kinetic energy
∴ [tex]v = \sqrt{\frac{2E_{K} }{m} }[/tex]
Now we will evaluate [tex]mv[/tex]
[tex]mv = m \sqrt{\frac{2E_{K} }{m} }\\mv = \sqrt{m^{2} }.\sqrt{\frac{2E_{K} }{m} }\\ mv = \sqrt{\frac{2m^{2}E_{K} }{m} } \\mv = \sqrt{{2mE_{K} }[/tex]
∴ λ = [tex]\frac{h}{mv}[/tex] becomes
λ = [tex]\frac{h}{\sqrt{2mE_{K} } }[/tex]
This equation shows the relationship between the de Broglie wavelength and kinetic energy, [tex]E_{K}[/tex]
From the equation, de Broglie wavelength varies inversely with kinetic energy. That is, as the de Broglie wavelength increases the kinetic energy decreases; similarly, as the de Broglie wavelength decreases, the kinetic increases.
For question 2, The de Broglie wavelength of the electron increases as the kinetic energy decreases.
a. The de Broglie wavelength of the electron increases is the correct option
A proton is located at <3 x 10^-10> m. What is r, the vector from the origin to the location of the proton
Complete Question
A proton is located at <3 x 10^{-10}, -5*10^{-10} , -5*10^{-10}> m. What is r, the vector from the origin to the location of the proton
Answer:
The vector position is [tex]\=r=<3*10^{-10}i-5*10^{-10}j -5*10^{-10}k>[/tex]
Explanation:
From the question we are told that
The position of the proton is [tex]<3 * 10^{-10}, -5*10^{-10} , -5*10^{-10}> m[/tex]
Generally the vector location of the proton is mathematically represented as
[tex]\= r = <xi + yj + zk>[/tex]
So substituting values
[tex]\=r=<3*10^{-10}i-5*10^{-10}j -5*10^{-10}k>[/tex]
LAGOS PROVINCE 10
TEXT:
TOPIC
SPEAKER
DATE:
s
Sussend
5 Gorg
ve
Cand
care. The pre
density is haragin
cable?
s
terson
Answer:
Explanation:
what?
You are throwing a stone straight-up in the absence of air friction. The stone is caught at the same height from which it was thrown. the speed of the stone when thrown is equal to the speed when caught.A. TrueB. False
Answer:
A. True
Explanation:
When a stone is thrown straight-up, it has an initial velocity which decreases gradually as the stone move to maximum height due to constant acceleration due to gravity acting downward on the stone, at the maximum height the final velocity of the stone is zero. As the stone descends the velocity starts to increase and becomes maximum before it hits the ground.
Height of the motion is given by;
[tex]H = \frac{u^2}{2g}[/tex]
g is acceleration due to gravity which is constant
H is height traveled
u is the speed of throw, which determines the value of height traveled.
Therefore, when the stone is caught at the same height from which it was thrown in the absence of air resistance, the speed of the stone when thrown will be equal to the speed when caught.
How is the radiating electric field (or electromagnetic signal) produced when radio stations broadcast
Answer:
Radio stations have dipole type antennas
this field increases in intensity and propagates outwards,
Explanation:
Radio stations have dipole type antennas, that is, all sides are isolated from each other, when the AC signal from the radio station arrives, the lcharge begins at times and by the Lens law a field appears that opposes this movement, this field increases in intensity and propagates outwards, when the voltage reaches a maximum, the generated wave also reaches the maximum, now the incident wave begins to decrease, an electric hand appears to oppose this prisoner, and in this way a cap is created. electric .
"If we increase the frequency of transverse waves on a string, what happens to the period of oscillation of any given point on the string?"
Answer:
Period will decrease
Explanation:
Because from the relationship
T = K/f
Period inversely proportional to frequency so as frequency increase period decrease and vice versa
Place these bodies of our solar system in the proper order of formation
Answer:
solar nebula, the sun, planetesimals, inner planets, and last but not least outer planets
Answer:
Solar nebula, The sun, planetesimals , inner planets, outer planets
Explanation:
As astronaut visiting Planet X, you’re assigned to measure the free-fall acceleration. Getting out your meter stick and stopwatch, you time the fall of a heavy ball from several Heights. You data is as follows:
Height (m) Fall Time (s)
0.0 0.00
1.0 0.54
2.0 0.72
3.0 0.91
4.0 1.01
5.0 1.17
a.) Analyze these data to determine the free-fall acceleration on Planet X. Your analysis should involve fitting a straight lie to an appropriate graph. Place the graph here. (Hint Kinematics)
b.) Determine the uncertainty in the free-fall acceleration.
Answer:
g = (0.13 + - 0.05) m / s²
Explanation:
a) The equations of physics are valid in all inertial systems, therefore the kinematic relationships on this planet are the same as on Earth.
y = v₀ t - ½ g t²
From the statement it follows that the body is released, so its initial velocity is zero
y = 1/2 g t²
where we take the downward direction as positive
With this expression to make a linear graph we must graph t² vs y, see attached. Observe that the controlled variable is the height, so this is the independent variable and must go on the x axis, the values of the slope and point of cut can be obtained from this graph by lineal regretion
y ’= m x + b
y ’= 0.2668 x + 0.00406
If we compare this equation of the line with the equation of free fall
y ’= t2
x = y
m = 0.2668
b = 0.00406
Since the value of b is very small, we can say that our assumption that the initial velocity is zero is correct.
Now we can compare the expressions of free fall and the equation of the line obtained
y = ½ g t2
y ’= m x
to be functionally equivalent
x = 1 / m y '
now we can see the slope
1 / m = ½ g
g = 2 / m
g = 2 / 0.2668
g = 7.496 m / s²
b) the uncertainty of the acceleration is
Δg = dg/dm Δm
the uncertainty of m is given by the fit of the linear regression of the program Δm = 0.025
dg / dm = 1 / 2m
Δg = 1 /2m Δm
Δg = 1 / (2 0.2668) 0.025
Δg = 0.047
The result of this exercise with the correct significant figures
g = (0.13 + - 0.05) m / s²
Light of wavelength 500 nm illuminates a round 0.50-mm diameter hole. A screen is placed 6.0 m behind the slit.. Find the width of the central maximum on the screen.
A) 6.0 mm.
B) 12 mm.
C) 260 mm.
D) 7.3 mm.
E) 15 mm.
Answer:
15mm
Explanation:
We know that for circular holes first dark spot is given by
sin စ = 1.22 λ/D
Also we know that at the same time
tan စ = r/L
So
r = L tanစ = 6 x tan( arcsin(1.22x 500 x10^9/0.50 x 10^ 3))
= 0.0073 m = 7.3 mm
However since the size is twice that so 14.6 mm which is approx 15mm
What voltage battery would you need to send 2.5A of current through a light bulb of resistance 3.6 ohm
Current flow light bulb = 2.5[tex]\sf{A}[/tex]
Resistance of light bulb = 3.6Ω
To Find :We have to find voltage of battery[tex].[/tex]
Solution :➠ As per ohm's law, current flow through a conductor is directly proportional to the applied potential difference.
➝ V ∝ I
➝ V = I × R
Where, R is the resistance of conductor.
⇒ V = I × R
⇒ V = 2.5 × 3.6
⇒ V = 9 volt
What approximately is the percent uncertainty for a measurement given as 1.57 m^2?
Answer:
The value is [tex]u = 0.64[/tex]%
Explanation:
From the question we are told that
The measurement is [tex]A = 1.57 \ m^2[/tex]
The percent uncertainty is mathematically evaluated as
[tex]u = \frac{0.01 * 100}{A}[/tex]
Here 0.01 is uesd due to the fact that the value given is in three decimal places
[tex]u = 0.64[/tex]%
The approximately percent uncertainty for the measurement is 0.64%.
The given parameters:
Area of the measurement, A = 1.57 m²The uncertainty in the measurement of the area = ±0.01 m²
The approximately percent uncertainty for the measurement is calculated as follows;
[tex]Uncertainty = \frac{0.01}{1.57} \times 100\%\\\\Uncertainty = 0.64 \ \%[/tex]
Thus, the approximately percent uncertainty for the measurement is 0.64%.
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7: A 2 mA current passes through a 1.4 cm long solenoid producing a magnetic field of .162 G. How many turns are in the solenoid
Answer:
The number of turns is 64449395
Explanation:
The expression for the solenoid formula is stated below, and it is what we are going to use to solve for the number of turns
B= μ₀nl
where B= magnetic field
μ₀= permeability , 4π × 10⁻⁷ Henry
n= number of turns
l= length of coil
Given data
current I= 2 mA
length L= 1.4 cm to meter we have 0.014
magnetic field B= 0.162 T
From the expression we can make n subject of formula we have
n=B/μ₀l
Substituting we have
n= 0.162/4π × 10⁻⁷*2*10^-3
n= 0.162/8π × 10^⁻10
n= 0.162/2.5136*10^-9
n= 64449395
El tubo de entrada que suministra presión de aire para operar un gato hidráulico tiene 2 cm de diámetro. El pistón de salida es de 32 cm de diámetro. ¿Qué presión de aire se tendrá de aire se tendrá que usar para levantar un automóvil de 17,640 N?`
Answer:
P₁ = 219.3 Pa
Explanation:
This fluid mechanics problem, we can use that the pressure is distributed with the same value throughout the system, which is Pascal's principle.
Let's use the subinidce1 for the small diameter and the subscript 2 for the larger diameter.
P₁ = P₂
pressure is defined by
P = F / A
we subtitute
F₁ / A₁ = F₂ / A₂
F₁ = F₂ A₁ / A₂
the area in a circle is
A = π r² = π d² / 4
we substitute
F₁ = F₂ (d₁ / d₂)²
we calculate
F₁ = 17640 (2/32)²
F₁ = 68.9 N
Having the force to be applied we can find the air pressure on the small plunger
P₁ = F₁ / A₁
P₁ = F₁ 4 / π d₁²
let's calculate
P₁ = 68.9 4 / (π 0.02²)
P₁ = 219.3 Pa
explain the different methods that can be used to model the motion of an object.
In physics, motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time. The motion of a body is observed by attaching a frame of reference to an observer and measuring the change in position of the body relative to that frame with change in time. The branch of physics describing the motion of objects without reference to its cause is kinematics; the branch studying forces and their effect on motion is dynamics.
Answer:
You can describe the motion of an object by its position, speed, direction, and acceleration. An object is moving if its position relative to a fixed point is changing. idk if this helps.
Explanation:
what is force magnifier
Answer:
It is an instrument which increases the amount of force available to a single hypothetical person.
Examples;
Levers, pulleys are force magnifiers.
Fluid flows at 2.0 m/s through a pipe of diameter 3.0 cm. What is the volume flow rate of the fluid?
Answer:
The volume flow rate of the pipe is 1.41 x 10⁻³ m³/s
Explanation:
Given;
velocity of the fluid, v = 2.0 m/s
diameter of the pipe, d = 3.0 cm = 0.03 m
The volume flow rate is given by;
Q = Av
Where;
A is the area of the pipe
v is the velocity of the fluid
circular surface Area of the pipe is given by;
A = ¹/₄ πd²
A = ¹/₄ π(0.03)² = 7.07 x 10⁻⁴ m²
Q = (7.07 x 10⁻⁴)(2)
Q = 1.41 x 10⁻³ m³/s
Therefore, the volume flow rate of the pipe is 1.41 x 10⁻³ m³/s
Momentum of 0.5 kg moving ball with the velocity of 5 m / s
Answer:
2.5
Explanation:
Momentum = Mass × Velocity
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{2.5 \: kg \: m \: / \: s}}}}}[/tex]
Explanation:
Mass ( m ) = 0.5 kg
Velocity ( v ) = 5 m / s
Momentum ( p ) = ?
Finding the momentum
[tex] \boxed{ \sf{momentum \: ( \: p \: ) \: = \: mass \: \times \: velocity}}[/tex]
⇒[tex] \sf{momentum \: = \: 0.5 kg \times 5 \: meter \: \: per \: second}[/tex]
⇒[tex] \sf{momentum = 2.5 \: kg \: m \: / \: s}[/tex]
Hope I helped!
Best regards! :D
The north pole of a bar magnet points towards a thin circular coil of wire containing 40 turns. The magnet is moved away from the coil, so that the ux through one turn inside the coil decreases by ∆Φ = 0.3 T.m2 in a time ∆t = 0.2 s. What is the average EMF induced in the (whole) coil during this time interval? Viewed from the side opposite of the bar magnet (from the right), does the induced current run clockwise or counterclockwise? Explain briey. [2 p.]
Answer:
60 V
Current will flow anticlockwise from the right side of the magnet.
Explanation:
The number of turns on the coil = 40 turns
The magnetic flux changes by ∆Φ = 0.3 T.m^2
The time changes by ∆t = 0.2 s
The induced emf can be gotten as
E = N∆Φ/∆t
substituting values, we have
E = (40 x 0.3)/0.2 = 60 V
If we move the magnet away from the coil, then from Lenz law, the induced current on the coil will try to oppose the motion of the magnet by attracting the magnet towards the coil. For this to happen, the coil must possess the equivalent of a magnetic south pole. For the equivalent of a magnetic south pole, the current on the coil will flow in the clockwise direction when viewed from the left side of the magnet. This will appear as an anticlockwise direction, when viewed from the right side of the magnet.
A 550 lines/mm diffraction grating is illuminated by light of wavelength 500 nm . Part A How many bright fringes are seen on a 3.8-m-wide screen located 2.2 m behind the grating?
Answer:
7bright fringes
Explanation:
First we know that
Sinစ m,max= Mmax, x lambda/d
To find Mmax
Sin90° = Mmax x lambda/d = 1
So
Mmax= d/ lambda
= lambda= 500nm
d= 1/550mm
So
= 1.8 x10-6/500x 10^-9m
= 3.6
So m is approx 3
So 3 bright fringes above below and the central bright fringe itself making 7bright fringes
Which best describes those that can pass through? They are concentrated. They are soluble. They are diluted. They are heated.
Answer:
B
Explanation:
SmARt
The term “solubility” describes a property that describes a substance's capacity to dissolve in a solvent. It is calculated as the highest solute concentration that can be dissolved in a solvent at equilibrium. A saturated solution is the term used to describe the outcome. Thus, option B is correct.
What best describes those that can pass through?The solute is the substance that dissolves. The solvent is the material that dissolves it. Solvents and solutes can exist in any material state. Water is a strongly polar substance, making it a very good solvent for many solutes.
Because they share chemical characteristics with the plasma membrane, some substances can pass through it. Which definition best sums up those who can pass through? They focus intensely. They dissolve easily.
Therefore, The maximum amount of a chemical that will dissolve in a given amount of solvent at a given temperature is referred to as its solubility.
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A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 55.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact (in years)
Answer:
[tex] t = 4.942\times10^{3}[/tex]
Explanation:
we know that
[tex]t =-\frac{ln\frac{R}{R_0} }{\lambda}[/tex]
the symbols have their usual meaning
Also,
[tex]t=-T_{1/2}\frac{ln\frac{R}{R_0} }{ln2}[/tex]
now plugging the values we get
[tex]t=-5730\frac{ln(0.55) }{ln(2)}[/tex]
[tex] t = 4.942\times10^{3}[/tex] years
A car is traveling at a speed of 80 ft/s when the brakes are suddenly applied, causing a constant deceleration of 10 ft/s2. Determine the time required to stop the car and the distance traveled before stopping.
Answer:
Time taken = 8 second
Distance traveled = 320 ft
Explanation:
Given:
Initial velocity (u) = 80 ft/s
Acceleration (a) = (-)10 ft/s²
Final velocity (v) = 0 ft/s
Find:
Time taken
Distance traveled
Computation:
v = u + at
0 = 80 + (-10)(t)
t = 8 second
Time taken = 8 second
s = ut + (1/2)(a)(t)²
s = (80)(8) + (1/2)(-10)(8)²
s = 320 ft
Distance traveled = 320 ft
1. Explain the difference between accuracy and precision 2. Name a statistical quantity that can be used to indicate an accuracy level. 3. Name a statistical quantity that can be used to indicate a precision level. 4. To what level of accuracy (1 cm, 0.1 cm, 0.01 cm. 0.001 cm) can the ruler used to measure the lengths of the pencil in the above example be read?
Answer:
Accuracy explains the closeness or nearness of a measured or studied quantity to the actual value while precision explains the ability of a measuring device to get the same measured value when measured repeatedly
2 Accuracy is determined by percentage error while precision is by taking the ratio of standard deviation with the individual measurements
3. The accuracy of the ruler is 0.001 cm because that's the least measurement it can take
What replaced copper wires in long distance communicationas they are cheaper and less bulky than copper cables carrying the same information
Answer:
Optical Fiber
Explanation:
Optical fibers have replaced copper wire in long distance communication as they are cheaper and less bulky than copper cables carrying the same information. Optical Fibers transfer information from one place to another by sending pulses of infrared light signals. Light act as carrier waves.
A pure copper sphere has a radius of 0.935 in. How many copper atoms does it contain? [The volume of a sphere is (4>3)pr3 and the density of copper is 8.96 g>cm3.]
Answer:
47.68 x 10²³ or 4.768 x 10²⁴ copper atoms
Explanation:
Given:
Radius of the copper sphere (r) = 0.935 in
First convert the radius from inches to centimeters
1 in = 2.54cm
0.935in = 0.935 x 2.54cm = 2.3749cm
∴ r = 2.3749cm
Calculate the volume of the copper sphere as follows
Volume = [tex]\frac{4}{3}\pi r^{3}[/tex] [substitute r = 2.3749cm and π = 22 / 7]
Volume = [tex]\frac{4}{3}(\frac{22}{7} ) (2.3749)^{3}[/tex]
Volume = 56.108cm³
From the volume and given density, calculate the mass of the copper sphere
mass = density x volume [density = 8.96g/cm³]
mass = 8.96 x 56.108 = 502.73g
From known facts
1 mole of copper = 63.5g of copper = 6.022 x 10²³ copper atoms.
Then,
502.73 g of copper = [tex]\frac{502.73 * 6.022*10^{23}}{63.5}[/tex] = 47.68 x 10²³ copper atoms
Therefore, the sphere contains 47.68 x 10²³ copper atoms
Answer:
=4.8*10^-24atoms
Explanation:
To find volume of a sphere
= 5.61*10^-5m³ x 8.96gx 100³m³
=502.7g
So we use density of copper to convert volume to mass so
1atm of cux( 1mol of cu/6.02Eatm of cu)*(63.54g of cu/1 mole of cu)
So = 1.055*10-22g cu
So
= 502.7/1.055*10-22g cu
=4.8*10^-24atoms
The planet Mercury takes 0.24 sidereal years to go around the sun. What is the distance from the center of Mercury to the center of the sun
Answer:
5.77×10¹⁰ m
Explanation:
From the question,
Applying
Kepler's third law
P² = d³...................... Equation 1
Where P = Planet's period, d = distance between the center of the planet and the sun.
make d the subject of the formula n equation 1
d = [tex]\sqrt[3]{P^{2} }[/tex].................. Equation 2
Given: P = 0.24 sidereal.
Substitute the value of P into equation 2
d = [tex]\sqrt[3]{0.24^{2} }[/tex]
d = 0.386 Au
d = 0.386×1.496×10¹¹
d = 5.77×10¹⁰ m