The average velocity of the boat given the data from the question is 6.32 Km/h
What is velocity?Velocity is defined as the rate of change of displacement with time. Mathematically, it is expressed as
Velocity = displacement / time
How to determine the resultant displacementDisplacement 1 (d₁) = 3 KmDisplacement 2 (d₂) = 1 KmResultant displacement (D) =?
D² = d₁² + d₂²
D² = 3² + 1²
D² = 9 + 1
D² = 10
Take the square root of both sides
D = √10
D = 3.16 Km
How to determine the average velocityResultant displacement = 3.16 KmTime = 1/2 hour = 0.5 hourAverage velocity =?
Average velocity = resultant displacement / time
Average velocity = 3.16 / 0.5
Average velocity = 6.32 Km/h
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derive a relation between critical angle and refractive index of a substance
Answer:
Explanation:
Refractive index of denser medium w.r.t rarer medium
[tex]r[/tex]ч[tex]d[/tex][tex]=\frac{1}{sini_{c} }[/tex]
where, [tex]i_{c}[/tex] = critical angle
Determine the angular velocity ω of the telescope as it orbits around the Sun.
Find the magnitude of the induced current that flows through the resistor shown in the figure at t=3 s, if the magnetic field through the wire loop of 3.0 cm radius changing with time according to this equation B=2t^2−3.
The magnitude of the induced current is, (I=9 /R). The principal of ohm's law is employed in the given problem.
What is induced emf?Emf is the production of a potential difference in a coil as a result of changes in the magnetic flux passing through it.
When the flux coupling with a conductor or coil changes, electromotive force, or EMF, is said to be induced.
The given data in the problem is;
B is the magnetic field,= 2t^2−3.
t(time)=3 sec
The induced EMF is found as;
[tex]\rm E= \frac{d \phi}{dt} \\\\\ \rm E= \frac{d(2t^2-3)}{dt} \\\\\ E=4t-3\\\\\ t= 3 sec \\\\ E=12-3 \\\\\ E= 9 \ V[/tex]
From ohm's law;
E=IR
I=E/R
I=9 /R
Hence,the magnitude of the induced current is, (I=9 /R).
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The human pupil, when maximally dilated, has a diameter of roughly 10 mm. How much more light does the primary mirror of the Magellan telescope (measuring 6 m in diameter) collect compared to the human eye
The amount of light collected by Magellan telescope with respect to human eyes is 1.13 x 10⁶ times that of human pupil.
Amount of light collect by human pupilThe amount of light that will pass through the given area of human pupil when maximally dilated is calculated as follows;
A = πd²/4
A = π(0.01)²/4
A = 2.5 x 10⁻⁵π m²
Amount of light collect by Magellan telescopeA = πd²/4
A = π(6)²/4
A = 9π m²
with respect to human eyes = ( 9π m²)/(2.5 x 10⁻⁵π m²)
= 1.13 x 10⁶ x human pupil
Thus, the amount of light collected by Magellan telescope with respect to human eyes is 1.13 x 10⁶ times that of human pupil.
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A tuning fork consists of two metal prongs that vibrate at a single fre- quency when struck lightly. What will happen if a vibrating tuning fork is placed near another tuning fork of the same frequency
Resonance would occur when a vibrating tuning fork is placed near another tuning fork of the same frequency.
What is resonance?Resonance can be defined as a phenomenon in which a physical object is forced to vibrate due to the vibration of a second object at the same natural frequency of the first object.
This ultimately implies that, resonance is an increase in the amplitude of oscillation that only occurs when the frequency of a periodically applied force is equal to the natural frequency of a physical object such as a tuning fork, on which it's acting.
In conclusion, we can infer and logically deduce that resonance would occur when a vibrating tuning fork is placed near another tuning fork of the same frequency.
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Suppose two objects attract each other with a gravitational force of 32000 Newtons. If the distance between the two objects is quartered (times 1/4).
then what is the new force of attraction between the two objects
The new force of attraction between the two objects will be 16 times the old case.
What is Newton's law of gravitation?Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
[tex]\rm F =\frac{GmM}{r^2}[/tex]
For case 1;
r₁=r
For case 2;
r₂=r/4
[tex]\rm F'=\frac{GmM}{(\frac{r}{4})^2} \\\\ F'=16 F[/tex]
Hence,the new force of attraction between the two objects will be 16 times the old case.
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What is the mass of a bullet moving at 970 m/s if the bullet’s kinetic energy is 3.0 x 10^3 J?
The mass of the bullet moving at the given values of velocity and kinetic energy is 6.4 × 10⁻⁴ kilogram.
What is Kinetic Energy?Kinetic energy is simply a form of energy that a particle or object possesses due to its motion.
It is expressed as;
K = (1/2)mv²
Where m is mass of the object and v is its velocity.
Given the data in the question;
Velocity of the bullet v = 970m/s Kinetic energy of the bullet K = 3.0 × 10³J = 3000kgm²/s²Mass of the bullet m = ?We substitute our given values into the expression above.
K = (1/2)mv²
3000kgm²/s² = 0.5 × m × (970m/s)²
3000kgm²/s² = 0.5 × m × 940900m²/s²
3000kgm²/s² = m × 470450m²/s²
m = 3000kgm²/s² ÷ 470450m²/s²
m = 0.00064kg
m = 6.4 × 10⁻⁴kg
Therefore, the mass of the bullet moving at the given values of velocity and kinetic energy is 6.4 × 10⁻⁴ kilogram.
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Use the circuit diagram to decide if the lightbulb will
light. Justify your answer
Any circuit diagram given the funda is same .
Look at the switch symbol in circuit (Mostly present after cell symbol) If there is a dot present the circuit is closed and current cannot be flowed so lightbulb won't light.If not present a dot then lightbulb will lightAnswer:
see picture
Sample Response: The lightbulb will light because this is a parallel circuit. Even though the switch is open in one branch, the branch the lightbulb is in forms a closed circuit, allowing the current to flow through the bulb.
Explanation:
Base your answers to questions 11 through 13 on the information and diagram below and on your
knowledge of physics.
A ray of light with a frequency of 5.09 x 104 hertz traveling in medium X is refracted at point P.
The angle of refraction is 90°, as represented in the diagram.
Normal
Air
Refracted ray
Medium X
f = 5.09 x 1014 Hz
11. Calculate the wavelength of the light ray in air. [Show all work, including the equation and
substitution with units.]
12. Measure the angle of incidence for the light ray incident at point P.
13. Calculate the absolute index of refraction for medium X. [Show all work, including the equation and
substitution with units.]
Incident ray
11. The wavelength of the light ray in air is 0.589 x 10⁻⁶ m.
12. Angle of incidence for the light ray at point P is 43.23°.
13. The absolute index of refraction for medium X is 1.46
What is Snell's law?It states that the ratio of sine of angle of incidence and angle of refraction is equal to the refractive index of first medium to the second medium.
sini/sinr = n₁/n₂
11. The wavelength is related to the frequency as
λ = c/f
where c = 3 x 10⁸ m/s and frequency f = 5.09x 10¹⁴ Hz
Put the values, we get
λ = 3 x 10⁸/ 5.09x 10¹⁴
λ =0.589 x 10⁻⁶ m
Thus, the wavelength of the light ray in air is 0.589 x 10⁻⁶ m.
12. Given the angle of incidence is i, angle of refraction r =90° , n₂ = Refractive index of medium X = 1.46 and n₁ = Refractive index of air = 1
Substituting the values into Snell's law expression we get,
sin i= sin 90 x 1/1.46
i = 43.23 degrees
Thus, the angle of incidence is 43.23 degrees.
13. The refractive index is the ratio of speed of light in vacuum to the speed of light in the medium X.
n = c/v₂
If v₂ is the velocity of light in medium X, then
sin i / sin r = v₂/v₁
sin 43.23 / sin 90 = v₂/ 3 x 10⁸
v₂ = 2.055 x 10⁸ m/s
So, the refractive index be
n = 3 x 10⁸/2.055 x 10⁸
n = 1.46
Thus, absolute index of refraction for medium X is 1.46
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A mountain climber starts at the base of a mountain, climbs all the way to the peak, and then climbs back down to the base of the mountain. At which point is the climber's gravitational potential energy the greatest?
Calculate the value of C2 in the circuit below, if C1 = 33 F and Ctotal = 58 F.
The value of capacitor C2 in the given parallel circuit arrangement of the capacitors is 25 F.
Capacitance of the circuit
The capacitance of the circuit is calculated as follows.
Assuming a parallel circuit arrangement for the capacitors;
C(total) = C1 + C2
58 F = 33 F + C2
C2 = 58 F - 33 F
C2 = 25 F
Thus, the value of capacitor C2 in the given parallel circuit arrangement of the capacitors is 25 F.
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Which nuclear equation represents a spontaneous decay?.
Spontaneous fission is a nuclear equation represents a spontaneous decay.
Which nuclear equation represents a spontaneous decay?Spontaneous fission is another type of radioactive decay. In this process, the nucleus will split into two parts and free neutrons with the release of large amount of energy.
So we can conclude that spontaneous fission is a nuclear equation represents a spontaneous decay.
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Drag force on a body increase with the increase in speed of the body.justify with one example from everyday experience
The drag force is the force that opposes the movement of a body through a fluid.
What is the drag force?The drag force is the force that opposes the movement of a body through a fluid. This occurs in cases such as when a car is moving through air.
Owing to the fact that drag force tends to slow down vehicles when they move at higher speed, vehicles that are meant for racing are streamlined to reduce the drag force.
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The time required by 1KW heater to raise the temperature of 10 liters through 10 degree selsius is in the of 5 m
The time required by the 1 KW heater to raise the temperature of 10 L of water is 418.4 s
Data obtained from the questionPower (P) = 1 KW = 1000 WVolume of water = 10 LMass of water (M) = 10 × 1000 = 10000 gChange in temperature (ΔT) = 10 °C Specific heat capacity (C) = 4.184 J/gºC Time (t) = ?How to determine the timeQ = MCΔT
Q = Pt
Pt = MCΔT
Divide both sides by P
t = MCΔT / P
t = (10000 × 4.184 × 10) / 1000
t = 418.4 s
Complete question
What time is required for a 1kw heater to raise the temperature of 10 liters of water to 10 degree Celsius?
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Determine the work done to raise a mass of 8.0 kg through a height of 2.5 m on this planet.
Answer:
196 J
Explanation:
Formula
Work done(W) = Mass (m) x gravity (g) x height (h)Here, we are given :
m = 8.0 kgg = 9.8 m/s² (on Earth)h = 2.5 mSolving
W = 8 × 9.8 x 2.5W = 20 × 9.8W = 196 JStudents design an experiment to determine how much force is needed to move blocks of wood of different masses slowly across a lab table.
Which procedure should students include in their design?
A. conduct 5 trials, using a different scale to pull each block of wood
B. conduct 5 trials, pulling a different side of each block each time
C. conduct 5 trials, using a different table for each trial
D. conduct 5 trials, pulling each block of wood in the same way for each trial
While doing the dishes, you drop an iron skillet that’s very hot (200° C or more) into a sink containing a few inches of water at room temperature. Assume the volume of water has about the same mass as the skillet. It’s found that the increase in temperature of the water is much less than the loss in temperature experienced by the skillet. As a matter of fact, after a minute or two, the water feels only slightly warmer than before the skillet was added. Use the space to write a brief explanation of why this is true.
Remember the fact that every object has a specific amount of latent heat of vaporization
The specific heat capacity of iron and water are different
They may have same mass but not same specific heat capacitySo same amount of temperature can't create same amount of heat .Also water is liquid so heat get transmitted through out the solution.find the resistance of a multiplier connected with milliammeter of resistance 10 ohms with a deflection of 10 milliamperes and the voltage of the circuit is 15 volts
A soccer ball and bowling ball, with the same areas and different masses, are dropped at the same time. How will their motions compare
O The bowling ball will fall faster due to its mass.
O The bowling ball will fall at a slower speed because its mass means it will have more air resistance.
O
The soccer ball will fall slower because it will be affected by air resistance.
O The objects will fall at the same speed because the effect of gravity on them is the same.
Answer:
Third option
Explanation:
IF you ignore air resistance, they will fall at the same rate due to the effect of gravity being the same on both ....BUT the third option seems to be correct as air friction is taken into account.... the bowling ball will be affected by air resistance too, bul less so..
What is potential energy?
Energy from chemicals
Energy that is stored
Energy from light
Energy of motion
Answer:
stored
Explanation:
P. E . = m g h
represents STORED energy in the form of the height * acceleration of gravity * mass
What particles bond together to
form molecules?
A. Atoms
B. Neutrons
C. Compounds
D. Protons
Answer:
atoms bond together and forms molecules
Answer:
Atoms
Explanation:
this is because when atoms join or bond together forms a molecule
A snowboarder starts from rest at the top of a slope. They accelerate to 35 m/s over 9 seconds. What is their acceleration?
GA9.35 mis
OB. 0.25 m/s²
OC. 26 m/s²
OD. 3.88 m/s²
v=35m/s
t=9
a=35/9a=3.88m/s²Is it possible for an human body to be transparent or invisible?
Answer:
Yes, it is possible.
Explanation:
Hope this helps! :)
Answer:
it's possible since scientists have already progressed to making fully transparent & invisible human organs.
The speed of sound in water is 1,492 m/s. A sonar signal is sent straight down from a ship at a point just below the water's surface and 7.5 s later the reflected signal is detected. How deep is the ocean beneath the ship?
Answer:
5595 m
Explanation:
The wave travels down (the depth) and the back up (the depth again)
this distance is 2 d
2 d = 1492 m/s * 7.5 s
2d = 11190 m
d = 5595 m
Which change will most likely increase the strength of a magnetic field produced by an electromagnet?
Answer:
Increasing the number of loops of wire around the iron core
Hope this helps!
Is a cow a producer? Or a consumer or decomposer?
Answer:
cows a consumer
Explanation:
because it can make food by its own
What is the role of pressure and dissolved gases in eruptions?.
Answer:
Explanation:
Magma contains dissolved gases, which provide the driving force that causes most volcanic eruptions. As magma rises towards the surface and pressure decreases, gases are released from the liquid portion of the magma (melt) and continue to travel upward, and are eventually released into the atmosphere.
Which is a dopant for a semiconductor that conducts electricity due to the movement of positive charges?
O thallium
O arsenic
O phosphorus
O antimony
Answer:
The answer is thallium.
Explanation:
the chemical element of atomic number 81, a soft silvery-white metal that occurs naturally in small amounts in pyrite and other ores. Its compounds are very poisonous.Identify which portions of the electromagnetic spectrum are used in each of the devices listed. a. a microwave oven b. a television set c. a single-lens reflex camera
The portions of the electromagnetic spectrum are used in the television set. It is used in the picture tube in the old television set.
What is the electromagnetic spectrum ?The electromagnetic radiation distribution in accordance with the frequency or wavelength is known as the electromagnetic spectrum.
The portions of the electromagnetic spectrum are used in the television set. It is used in the picture tube in the old television set.
Hence, option b is correct.
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Water waves in a small tank are 6.6 m long. They travel at a speed of 2.9 m/s. What is the frequency of the water
waves?
Answer:
.439 Hz
Explanation:
Wavelength = 6.6 m
speed = 2.9 m/s
2.9 = 6.6 f
f = 2.9/6.6 = .439 Hz