Q7 A fishing vessel travels a distance of 6 nautical miles at a speed of 8 knots.
It then anchors for one hour, before travelling a further 5 nautical miles, in
45 minutes, to the next fishing ground. It anchors for 30 minutes before
sailing 1 hour back to port.
1 knot = 1 nautical mile per hour,
12
[a] Draw the distance-time graph for
the fishing vessel.
10
[b] What was the vessel's average
speed for the entire journey?
6
Distance from shore (nautical miles)
4
2
0
1
4
2 3
Time (hours)
Answers
The vessel's average speed for the entire journey will be 5.86 knots. The area of the distance-time graph shows the velocity.
What is distance?Distance is a numerical representation of the distance between two objects or locations.
Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
The given data in the problem is;
Distance travelled 1 (D₁)= 6 nautical miles
Velocity (V₁) 8 knots.
Time (T₁)=
Distance travelled 2 (D₂)=5 nautical miles,
Time taken(T₂)=45 minutes=0.75 hour
Time taken(T₃)=30 minutes
Time for anchor 1 (t₁)=1 hour
Time for anchor 2(t₂)=0.5 hour
Time to sailing back to port(t₄) = 1 hour
The time for the first phase of motion;
[tex]\rm d = v\times t \\\\ t_1= \frac{D_1}{v} \\\\ t_1= \frac{6}{8} \\\\ t_1= 0.75 \ houe[/tex]
The average speed is found as;
[tex]\rm V_{avg}= \frac{Total \ distance }{Total \ time } \\\\ \rm V_{avg}= \frac{6+5+6+5}{0.75+0.5+1+0.5+1} \\\\ V_{avg}=5.866 \ knots[/tex]
Hence, the vessel's average speed for the entire journey will be 5.86 knots.
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Related Questions
An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is a and the total mechanical energy of the system is e
Answers
An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The system's potential energy when kinetic energy of (3/4) E is (1/8) k A².
What is mechanical energy?Mechanical energy is the sum of potential energy and kinetic energy.
Total mechanical energy = P.E max = K.E max
Total mechanical energy = K.E +P.E
Given is the kinetic energy is (3/4)E.
E= (3/4)E + P.E
P.E = (1/4) E
Maximum potential energy =E = (1/2) k A²
Here. A is the maximum displacement and k is the spring constant.
The potential energy at kinetic energy of (3/4) E is
P.E = (1/4)E = (1/8) k A²
Therefore, the system's potential energy when kinetic energy of (3/4) E is (1/8) k A².
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Is there mechanical work done if the direction of work and the displacement perpendicular to each other?
Answers
No that's not mechanical work done .
If displacement happens then whatever the direction be the work is done except nπ/2 values of theta
In that case the general formula W=Force×Distance can't be used
Then We have to include theta
W=FdcosØPut Ø=90
W=Fdcos90W=Fd0W=OJNo work done
PLEASE HELP WILL GIVE BRAINLIEST
Which correctly compares the background extinction rate for mammals to the actual extinction rate over the past 400 years?
A. )45 times higher
B. )25 times higher
C,35 times lower
D. )15 times lower
Answers
Answer:
45 times higher
Explanation:
hope this helps
Answer:
The background extinction rate is the average rate at which species become extinct over geological time, usually estimated in millions of years. The actual extinction rate refers to the rate at which species are currently going extinct.
Based on scientific studies, the actual extinction rate over the past 400 years is significantly higher than the background extinction rate.
The correct answer is A. 45 times higher.
Explanation:
COME AND HELP ME
The noble gases are unreactive and stable. Which of the following explains why this is true?
They each have no electrons.
They have 8 electrons in their outer shell (except for Helium).
They have only neutrons in their nucleus
They have more electrons than other elements.
Answers
Answer:
They have 8 electrons in their outermost shell(except for Helium)
Explanation:
The noble gases are unreactive and stable because they have completely filled orbitals and have 8 electrons in their outermost shell.
Therefore
They have 8 electrons in their outermost shell(except for Helium)
Mechanical energy is as much of potential and kinetic energy. Mechanical energy is never lost but only transformed from one form to another. As long as all the mechanical energy is as much as the potential energy then the kinetic energy is 0J. The mechanical energy of an object is found by summing its potential energy and kinetic energy.
Answers
How many sub levels does the third energy level have?
Answers
The energy levels are also called principal levels. The number of sublevels in the third energy level is three.
What is energy level?The Energy levels are at a fixed distance from the nucleus of an atom, where electrons are arranged in shells.
In the third energy shell, electrons are present. The third principal energy level has three sublevels, s, p and d.
The number of sublevels in the third energy level is three.
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What is the wavelength of an electromagnetic wave having a
frequency of 1 hertz? of 100,000 hertz?
Answers
Answer:
c = λ f
λ = c / f
λ = 3E8 / 1 = 3.00E8 m wavelength of 1 hertz
λ = 3E8 / 1E5 = 3000 m wavelength of 100,000 hertz
Explain why stars are unevenly distributed throughout the universe.
Answers
a pendulum wiht a cord length of 1 m swings in a vertical plane, when the pendulum is in the two horizontal ositions 90 and 270 its speed is 5 m/s what is the magnitude of the radial accelertaion
Answers
The magnitude of the radial acceleration of pendulum is 25 rad/s²
What is acceleration?Acceleration can be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
The centripetal acceleration or radial acceleration for the pendulum is given by
a = v²/r
Given is the radius = cord length of pendulum =1m and the velocity v = 5m/s, then the acceleration will be
a = (5)² /1
a = 25 rad/s²
Thus, the radial acceleration is 25 rad/s²
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Your center of gravity should never be over the center of your base of support if you want to be stable.
O A. True
OB. False
Answers
A current carrying wire of length 50cm is positioned perpendicular to a uniform magnetic field
Answers
A current-carrying wire of length 50 cm is positioned perpendicular to a uniform magnetic field. The magnetic field strength is 0.6 Tesla.
What is magnetic field?The magnetic field is the region of space where an object experiences a magnetic force as it enters the field.
Given is the wire of length 50 cm = 0.5 m and the current is 10.0 A. There is a resultant force of 3.0 N on the wire due to the interaction of the current and field.
The relation between magnetic field strength and current is
F = ILB
Substituting 50 for L, 10 for I and 3 for F, we get the magnetic field strength B.
3 = 10 × 0.5 × B
B= 0.6 Tesla
Therefore, the magnetic field strength is 0.6 Tesla.
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What does the path of an object look like when it is in uniform motion?
Answers
Answer:
Graphically the path of an object will be linear; it looks like a straight line when it is in uniform motion.
which statement most likely describes plutonium?
Answers
1. Which of the following transformations is an example of a β−-decay?
2.The unstable uranium nuclide 238 92U has a half-life of 4.5 billion years and decays into the thorium nuclide 234 90Th. The thorium daughter nuclide has a half-life of 24.1 days and decays into the protactinium nuclide 234 91Pa, which has a half-life of 6.75 hours and decays into 234 90U, whose half-life is 245 thousand years. In a sample of uranium-containing rock, of the four nuclides the most abundant will be __________.
3. The beta minus decay process 13 7N→13 6C+β−+ν¯¯¯ is proposed in which nitrogen’s proton becomes a neutron. The process is not possible because:
4.The fact that the relative abundance is greater for elements in which the total number of protons and neutrons is a multiple of two is because __________.
Answers
Answer:
1. C: 31/14 Si becomes 31/15 because a nuetron
2. A: 238 92U because the very long half-life means a very small rate of decay
3. D: Charge conservation is not satisfied
4. B: of the four nuclear decay processes only the α-decay changes the baryon number and does so in increments of four
Explanation:
I just took the quick check. Enjoy the answers I did not get to have
Two charges are separted by a distance d and exert mutual attractive forces of f on each other. If the charges are separated by a distate of 2d what are the new mutual forces?
Answers
The new force between the charges when the distance become 2d will be F'=4F
What is electrostatic force?
When two charged particles are separated by the distance d then the force of attraction or repultion acts on the charged particle depending upon the nature of the charge whether it is positive or negative.
The formula for the electrostatic force is given by
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Now if the value of d becomes 2d then the formula will become:
[tex]F'=\dfrac{kq_1q_2}{(2d)^2}=\dfrac{kq_1q_2}{4d}[/tex]
[tex]\dfrac{F'}{F}=\dfrac{1}{4}[/tex]
[tex]F=4F'[/tex]
Hence the new force between the charges when the distance become 2d will be F'=4F
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(astronomy)
if gaia's photometric instrument broke down, what would scientists be less
able to measure?
Answers
If Gaia's photometric instrument broke down. Scientists will not able to measure the electromagnetic radiation.
What is electromagnetic radiation?
Electromagnetic radiation is a type of energy that is transmitted in incident photons as both magnetic and electric waves.
Electromagnetic radiation has a spectrum with varying wavelengths and frequencies, which gives it different properties.
A device that detects the intensity of electromagnetic radiation is called as the photometric instrument.
Hence,scientists will not able to measure the electromagnetic radiation.
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When summer changes to fall, what seasonal changes do plants experience? (IGNORE HIGHLIGHTED ANSWER)
Answers
Answer:
C
Explanation:
There is a decrease in temperature and daylight and plants produce less food.
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If the potential energy of a roller coaster is 60,000 J at the highest point, what is its kinetic energy at the lowest point?
Answers
Answer:
60 000 J
Explanation:
The PE will be converted to KE entirely (if the lowest point is ground level)
Identify the functions below as belonging to one of these radio transmission devices: oscillator, transmitting antenna, microphone, or modulator.
Sends out radio waves having the same frequency as the current supplied by the oscillator.
Enables the waves produced by the antenna to “carry” the pattern of the sound waves picked up by the microphone.
Converts a direct current into a high-frequency alternating current.
Picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.
Answers
The option 1,2,3 and 4 are matches with the option B,A,D,and C respectively. Oscillator, transmitting antenna, microphone, or modulator are the type of the radio transmission devices.
What is microphone?Microphone is a radio transmission devices picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.
The functions of the following radio transmission devices are as follows;
1. Oscillator- (B) Enables the waves produced by the antenna to “carry” the pattern of the sound waves picked up by the microphone.
2. Transmitting antenna-(A) Sends out radio waves having the same frequency as the current supplied by the oscillator.
3. Microphone-(D) Picks up sound waves and converts them into suitable electric current with the same pattern as the sound waves.
4. Modulator-(C) Converts a direct current into a high-frequency alternating current.
Hence, the option 1,2,3 and 4 are matches with the option B,A,D,and C respectively.
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Dave Ramsey mentions that insurance is the defense for managing your money. Why is this true?
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It is true that insurance is the defense for managing money because it ensures that your money is efficiently utilized even in your absence.
What is insurance?Insurance refers to a means of indemnity against a future occurrence of an uncertain event such as an accident, death, robbery etc.
Insurance is a way to protect one's assets from getting lost when faced with unforeseen circumstances.
For example;
A liability insurance protects one in case another person sues for injuries or loss caused by one's negligence or improper actions. Life insurance protects one's beneficiaries from loss of income by paying them money after one's death.Therefore, it is true that insurance is the defense for managing money because it ensures that your money is efficiently utilized even in your absence.
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Please hellllooooppp
Answers
Answer:
to the east i would say as i have tryed looking it up and carnt fimd the answer so i would saythe east or the north
Explanation:
you should choose as i dont no as it is a toss between those two
Type the correct answer in the box. Express your answer to three significant figures.
Calcium nitrate reacts with sodium phosphate to form sodium nitrate and calcium phosphate. Given 96.1 grams of calcium nitrate, what's the
theoretical yield of calcium phosphate? Use the periodic table and the polyatomic ion resource.
The mass of calcium phosphate the reaction can produce is
grams.
Answers
The mass of calcium phosphate the reaction can produce is 6.076 grams.
What is mass?Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.
In the International System of Units (SI), the kilogram is the unit of mass.
Given;
Mass of calcium nitrate (Ca(NO₃)₂) = 96.1 g
Mass of calcium phosphate=?
The chemical equation is found as;
3Ca(NO₃)₂ + 2Na₃PO₄ → 6NaNO₃ + Ca₃(PO4)₂
3 moles of Ca(NO₃)₂ produces 1 mole of Ca₃(PO4)molar mass of calcium phosphate is 164 g/mol
Moles are found as the ratio of the mass of the compound and its molar mass. Moles of Ca(NO₃)₂ is n.
n = 96.1/164 = 0.5859 moles
Moles of Ca3(PO4)2 produced ;
N=0.0589 ×(1/3) = 0.0196 moles
The molar mass of calcium phosphate is 310 g/mol and the mass of calcium phosphate produced will be;
M=0.0196×310
M = 6.076 g
Hence,the mass of calcium phosphate the reaction can produce is 6.076 grams.
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A car decelerates uniformly from 20 m s' to
zero in a time interval of 2.0 s. What are its
acceleration and distance travelled during this
time interval?
Answers
distance = 20 m
Explanation:
u = 20 m/s
v = 0
time = 2 s
acceleration = v-u/t
a = 0 - 20/ 2 = -10 m/s²
distance travelled
average velocity = 20/2 = 10m/s
distance travelled = av * t = 10 * 2 = 20 m
How does the speed of light change as the index of refraction increases?.
Answers
[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}} [/tex]
So as the index of refraction value increases, the optical density increases, and the speed of light in that material decreases.What happened to the balloon when it was placed on the bottle with the baking soda and vinegar and why
Answers
Answer:
it creates a gas called carbon dioxide. The gas begins to expand in the bottle and starts to inflate the balloon
Explanation:
Why does this happen? well, The faster-moving particles inside the bottle start to move faster and faster and soon they expand to fill the balloon.
The study of spectral lines from the messier 81 galaxy suggests that it is moving toward earth. identify the color toward which these spectral lines shift when visible light from the messier 81 galaxy is observed on earth.
Answers
The color towards which these spectral lines shifts when visible light from messier 81 galaxy is observed on planet Earth is a blue shift or violet.
What is a redshift?A redshift can be defined as a displacement (shift) of the spectral lines of astronomical objects such as messier 81 galaxy, toward longer wavelengths as a result of the Doppler effect.
In this scenario, we can infer and logically conclude that the color towards which these spectral lines would shift when visible light from the messier 81 galaxy is observed on planet Earth is a blue shift or violet.
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Car makers have developed cars that are completely electric. They use no gasoline. Instead, they are plugged into electrical outlets. The cars store electricity from the outlets in their batteries. They use the electricity to move. Some people claim that these electric cars are “emission-free”—that is, that they produce no air pollution. Are plug-in electric cars really emission-free? Explain your answer.
Answers
Answer:
yes bc we are wasting gas and this will help use less
Explanation:
Can anyone please explain this point with an example. I have presentation tomorrow.
Energy efficiency can either be achieved by either reducing the quantity of energy consumption to produce certain amount of products or producing increased number of products from the same quantity of energy.
Answers
Explanation:
Efficiency is a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go. In other words, it compares how much energy is used to do work versus how much is lost or wasted to the environment. The more efficient the machine, the less energy wasted.
For example, if a heat engine is able to turn 75 percent of the fuel it receives into motion, while 25 percent is lost as heat in the process, it would be 75 percent efficient. Out of the original 100 percent of the fuel, 75 percent was output as useful work.
the equation:
energy efficiency =useful output energy/total input energy
a jet plane travels 1500 km in 2 hours. what is the speed of the jet
Answers
Answer:
Speed = distance / time
= 1500 /2
= 750 km/h
What causes refraction as waves move from one medium to another?.
Answers
The cause of refraction as waves move from one medium to another is : Change in speed of Light
Meaning of RefractionRefraction can be defined as the change in direction of a wave as it passes from one medium to another medium.
Refraction is observed in many wave form but it is more prominent and visible when it comes to light wave.
In conclusion, The cause of refraction as waves move from one medium to another is : Change in speed of Light
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