Answers
The actual speed or velocity of the man relative to the earth is 15.52km/hr.
The direction of the man's velocity relation to earth is 75° South of West.
Given the data in the question;
Velocity of man relative to ship; [tex]v_{mrs} = 4 km/hr[/tex] westVelocity of ship; [tex]v_s = 15 km/hr[/tex] southVelocity of the man relative to the earth; [tex]v_E =\ ?[/tex]Direction of the man's velocity; [tex]\theta = \ ?[/tex]To get the velocity of the man relative to the earth. From Pythagorean theorem
We can simply say
[tex]v_E = \sqrt{(v_{mrs})^2 + (v_s)^2}[/tex]
We substitute in our given values
[tex]v_E = \sqrt{(4km/hr)^2 + (15km/hr)^2}\\\\v_E = \sqrt{(16km^2/hr^2) + (225km^2/hr^2})\\\\v_E = \sqrt{241km^2/hr^2}\\\\v_E = 15.52 km/hr[/tex]
Therefore, the actual speed or velocity of the man relative to the earth is 15.52km/hr
To get the direction of the man's speed. From the three main trigonometric ratios: SOH CAH TOA
[tex]tan\theta = \frac{opposite}{adjacent}[/tex]
[tex]tan\theta = \frac{v_s}{v_{mrs}}[/tex]
We substitute in our values;
[tex]tan\theta = \frac{15km/hr}{4km/hr}\\\\tan\theta = 3.75\\\\\theta = tan^{-1}( 3.75)\\\\\theta = 75^o[/tex]
Therefore, the direction of the man's velocity relation to earth is 75° South of West
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Related Questions
Why do you think some things float and some things sink?
Answers
Average sized stars like our own will turn into a(an) _________ at the end if their lifecycle.
A: Red Supergiant
B: Black hole
C: Neutron Star
D: Supernova Nebula
Answers
Answer:
Red supergiant.
Explanation:
When our sun is going to become a red giant, it's going to be 256 times larger than itself now.
A golf ball is hit with an initial velocity of 20m/s at an angle of 30° to the horizontal. calculate;
the time of flight
Answers
Answer:
tcucugxojfjgfojcigxuogoudyifodtufukdutfuocyjxuogu
Which statement best explains how a planet affects the orbit of a comet as the comet passes by the planet?
Answers
A 5.0 kg flying squirrel is flying from a tree down to the ground at constant velocity. Consider air resistance. Diagram the forces acting on the squirrel
Answers
The free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.
The given parameters;
mass of the squirrel, m = 5 kgacceleration due to gravity = 9.8 m/s²At a constant velocity downwards, the vertical acceleration is zero.
The downward force on the squirrel is calculated as follows;
W = mg - ma
W = m(g - a)
W = m(g - 0)
W = mg
W = 5 x 9.8
W = 49 N
The air resistance on the squirrel which is acting upwards is calculated as;
n = ma + mg
n = m(a + g)
n = m(0 + g)
n = mg
n = 5 x 9.8
n = 49 N
The free body diagram is presented below;
↑ n
Ο
↓ W
Thus, in the free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.
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Which type of color is most associated with emotions and attributes such as
calmness, sadness, and stillness? Choose the answer.
neutral
dynamic
warm
cool
Answers
The colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.
What is science?Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.
A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.
Thus, the colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.
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What is the major difference between metallic bonding and ionic bonding?
Answers
Answer:
The key difference between ionic bonding and metallic bonding is that the ionic bonding takes place between positive and negative ions whereas the metallic bonding takes place between positive ions and electrons.
Explanation:
About (metallic bonding) → Metallic bonding is a type of chemical bonding that arises from the electrostatic attractive force between conduction electrons and positively charged metal ions.
About (ionic bonding) → Ionic bonding is a type of chemical bonding that involves the electrostatic attraction between oppositely charged ions, or between two atoms with sharply different electronegativities, and is the primary interaction occurring in ionic compounds
I hope this helps!
Which statement is TRUE regarding the sleeping brain?
A. Some brain neurons remain active during sleep, while others do not.
B. The sleeping brain is idle.
C. Sleep is a global, brain-wide state.
D. All brain areas are shut down during sleep.
Answers
Many biological processes happen during sleep: The brain stores new information and gets rid of toxic waste. Nerve cells communicate and reorganize, which supports healthy brain function. The body repairs cells, restores energy, and releases molecules like hormones and proteins.
The true statement regarding the sleeping brain is: sleep is a global, brain-wide state, which is in option c as sleep is not a state of idleness or a shutdown of all brain areas.
Sleep is a complex and dynamic process that involves various regions and functions of the brain. While some brain neurons may decrease their activity during certain stages of sleep, other neurons remain active and play crucial roles in regulating sleep processes. Sleep is considered a global state because it involves widespread changes in brain activity and connectivity. Different brain regions exhibit synchronized patterns of activity during specific sleep stages, and these patterns contribute to functions such as memory consolidation, restoration, and emotional processing.
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Electrons are ____________ charged particles. Answer here
Answers
Answer:
negatively charged
Explanation:
Answer: electrons are negative charged
Explanation:
A jet airplane is in level flight. The mass of the airplane is m = 8930 kg. The airplane travels at a constant speed around a
circular path of radius R = 8.01 mi and makes one revolution every T = 0.106 h. Given that the lift force acts perpendicularly
upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane?
At what angle is the airplane banked?
Answers
Answer:
Explanation:
The lift force will have a vertical component equal to the weight of the plane and a horizontal component sufficient to supply the needed centripetal accleration.
R = 8.01 mi = 12891 m
ω = 2π/T = 2π/(0.106(3600)) = 0.016465 rad/s
F = m√(g² + (ω²R)²)
F = 8930√(9.81² + (0.016465²(12891))²)
F = 8930√(9.81² + 3.49²)
F = 92,996.480...
F = 93.0 kN
θ = arctan(3.49/9.81) = 19.6°
The mass of an object is 100mg. What is the object's mass in kg? Show your work
Answers
Answer:
0.0001 kg
Explanation:
The weight in Kilograms is equal to the milligrams divided by 1,000,000.
100 ÷ 1,000,000
if an object is launched at 40 degrees what other angle will give you the same range
Answers
Answer:
50 degrees
Explanation:
complimentary angles will give you the same range
Help me with this please
Answers
Answer:
for the secound one i think it would be 45.87 let me know if this is wrong I love to get my feed back
Explanation:
Which of the following is an example of an acceptable time to ignore the rules and etiquette of a sport?
A.
when no one else notices
B.
when nobody really gets hurt
C.
when the outcome of the game isn't affected
D.
it's never acceptable to ignore rules and etiquette
Answers
Answer:
D-it's never acceptable to ignore rules and etiquette
Explanation:
We should know that it's never acceptable to ignore rules and etiquette.
What are the rules of etiquette in sports?The rules of etiquette in sports are the rules of the sports that have been document by the various sports federations.
We should know that it's never acceptable to ignore rules and etiquette. These will make the the sports a lawless act and full of chaos.
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A bucket crane consists of a uniform boom of mass
M = 201 kg and length L= 59.05 ft that pivots at a point on
the bed of a fixed truck. The truck supports an elevated bucket
with a worker inside at the other end of the boom, as shown in
the figure. The bucket and the worker together can be modeled
as a point mass of weight 201 lb located at the end point of
the boom.
Suppose that when the boom makes an angle of 68.7° with the
horizontal truck bed, the bucket crane suddenly loses power,
causing the bucket and boom to rotate freely toward the
ground. Find the magnitude of the angular acceleration la of
the system just after the crane loses power. Take the rotation
axis to be at the point where the boom pivots on the truck bed.
Use g = 9.81 m/s2 for the acceleration due to gravity. For unit
conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N.
Express your answer to at least two decimal places.
Answers
Newton's second law for rotational motion allows finding the results for the angular acceleration of the system at the moment of losing power is:
α =0.616 rad / s²
Newton's second law for rotational motion relates the torque to the moment of inertia and the angular acceleration, in the special case where the angular acceleration is zero, it is called the rotational equilibrium condition.
[tex]\sum \tau = I \alpha[/tex]
[tex]\tau = F \ r \ sin \theta[/tex]
where τ is the torque, F is the force, r the distance to the pivot point and θ the angle between the force, the distance, I is the moment of inertia and α is the angular acceleration.
In this case they indicate the values in several different units, let's reduce to the international system of measurements (SI).
Beam mass M = 201 kg Beam length L= 59.05 ft (1m / 3.28 ft) = 18.0 m Worker and basket weight Wh = 201 lb (1N / 0.2248 lb) = 894.1 N Beam angle tea = 68.7º
We place our reference system at the base of the beam on the truck and counterclockwise turns as positive, and in the attached we see a free-body diagram of the system.
[tex]W_m \ L \ sin 68.7 + Mg \ \frac{L}{2} \ sin 68.7 = I \alpha[/tex]
The moment of inertia is an additive scalar quantity, the total moment of inertia is the moment of inertia of the pen plus the moment of inertia of the man.
Moment of inertia of the beam with respect to one end.
[tex]I_[/tex] = ⅓ ML²
moment of inertia of man
[tex]I_m = M_m L^2[/tex]
Let's substitute
[tex](W_m + \frac{Mg}{2} ) \ L \ sin 68.7 = (\frac{1}{3} M + m_m ) L^2 \alpha \\\alpha = \frac{(W_m + \frac{Mg}{2} ) sin 68.7 }{ (\frac{1}{3} M + m_m ) L }[/tex]
Let's calculate
The mass of man is
m = [tex]\frac{W_m}{g}[/tex]
m = 894.1 / 9.8
m = 91.2 kg
[tex]\alpha = \frac{(894.1 +2.1 \ 9.8 ) \ sin 68.7 }{ 18.0 ( \frac{201}{3} + 91 }[/tex]
α = 0.616 rad / s²
In conclusion using Newton's second law for rotational motion we can find the results for the angular acceleration of the system at the moment of losing power is 0.616 rad / s²
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What is Juan’s velocity between 0-5 seconds?
Answers
Juan’s velocity between 0-5 seconds would be 2 m/s, the slope of the position time graph represents the velocity of the object and between the 0-5 seconds slope of the line is 2.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
velocity= total displacement/Total time
As given in the problem we have to find the velocity of Juan between 0-5 seconds.
The displacement covered between 0-5 seconds is 10 meters.
the time taken to change position is 5 seconds,
the velocity of the Juan = 10/5
= 2 meters/seconds
Thus, its velocity of Juan comes out to be 2 meters/second.
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3
Which finding would have disproved Virchow's hypothesis?
O Animalcules are not organisms.
O Animals are made of non-cell-based matter.
Plants are made of non-cell-based matter.
O Cells can generate from nonliving matter.
Answers
Answer:
the correct answer is cells can generate from nonliving matter
a car is traveling with a momentum of 15,000 kgm/s. It strikes a garbage can on the curb. If the garbage can is launched off of the bumper with a momentum of 5,000 kgm/s, how much momentum does the car still have?
Answers
Answer:
c
Explanation:
it was a crash they both lost momentum
A baseball pitcher throws a fastball at a speed of 44 m/s. The acceleration occurs as the pitcher holds the ball in his hand and moves it through an almost straight-line distance of 3.5 m. Calculate the acceleration, assuming it is uniform. Compare this acceleration to the acceleration due to gravity.
Answers
v = s/t
44 m/s = 3.5 m/t
t = 3.5 m : 44 m/s
t = 0.08 s
a = v/t
a = 44 m/s/0.08 s
a = 550 m/s²
a : g = 550 m/s² : 10 m/s²
a : g = 55 : 1
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The ability to catch on fire or burn.
(a). flammability (B)alkali metals (c)corrosion
Answers
Answer:
a. flammability
Explanation:
it is in the name "flame"
Answer:
The ability to catch on fire or burn is (a). flammability
Explanation:Flammability is the ease with which a combustible substance can be ignited, causing fire or combustion or even an explosion.
A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
Answers
Answer:
it deflects most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation
Which two limbic system structures are especially associated with forming new memories?
A. the thalamus and the hypothalamus
B. the thalamus and cerebellum
C. the hypothalamus and the substantia nigra
D. the hippocampus and amygdala
Answers
Answer:
c
Explanation:
because it was c no more explanation
Answer:
Which two limbic system structures are especially associated with forming new memories?
A. the thalamus and the hypothalamus
B. the thalamus and cerebellum
C. the hypothalamus and the substantia nigraD. the hippocampus and amygdala
When an object moves in a straight line, which statement is true?
A. the object moves at a constant speed, the resultant force is zero
B. the object accelerates , the resultant force is zero
C. the object moves at a constant speed, the forward force is greater than the resistive force
D. The object requires a resultant force in order to move at a constant speed
Answers
Answer:
In think the answer is a I’m not sure
Explanation:
Becuase constant speed is always zero there is no acceleration
HELP PLEASE!
A book sits motionless on a table. Which statement is true?
The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.
Answers
Answer:
I think the second one! So sorry if it's wrong!
Explanation:
Because if it's sitting motionless, then nothing is happening to it.
A book sits motionless on a table so the forces acting on the book are balanced by each other.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.
A book sits motionless on a table so the forces acting on the book are balanced by each other.
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momentum dimensional in term of force, length and time
Answers
Answer:
Taking force, length and time as fundamental quantity.
Momentum=mv(Force/acceleration)×Velocity =[F/LT
−2
]×[LT
−1
]=[FT]
How much protein would be consumed with a 3-ounce serving of
this food?
A. 0g
B. 5g
C. 10g
D.15g
Please Help me
Answers
Answer:
15kg
(i actually did this)
Explanation:
k12
hope this helped!
i hope you ace it!
Answer: B) 5g
I took the 4.11 Unit Test: Nutrition quiz.
Taking care of yourself can sometimes be hard work and can even lead to feelings of
Answers
Answer:
deception
Explanation:
If you can do something fast and with strength, you have balance.
A.
True
B.
False
Answers
Answer:
false
Explanation:
hi i think it 573 udaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answers
Answer:
ummm I didn't understand the question
If a pool and a cup of water had the same temperature, which would have greater thermal energy?Why?
Answers
Despite being the same temperature, the swimming pool is a much larger thermal energy store than the beaker of water.
What is thermal energy?Thermal energy is the energy contained within a system that controls its temperature. The flow of thermal energy is defined as heat.
Thermodynamics is a branch of physics that deals with how heat is transferred between different systems and how work is done in the process.
Thermal energy sources include natural gas, coal, and oil, as well as solar, heat pump electric, and geothermal heat.
A swimming pool and a beaker of water can both be the same temperature.
Despite being the same temperature, the swimming pool contains significantly more thermal energy than the beaker of water. A heated swimming pool's thermal store contains a lot of energy.
Thus, If a pool and a cup of water had the same temperature, then swimming pool has a much larger thermal energy.
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