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
Learn more; https://brainly.com/question/5046811
Related Questions
• An artery in a certain patient has been reduced to half its original inner diameter by bad cholesterol deposits on the inner artery wall. By what factor will the blood flow through the artery be reduced if the pressure differential across the artery has remained unchanged? (a) 0.065 (b) 0.625 (c) 0.622 (d) 0.0625
Answers
Answer:
C.
Hope it's helpful
brainlest and follow me thank you
1. A 6-volt battery produces a current of 0.5 amps. What is the power in the circuit?
Answers
Answer:
hope this will help you
have a great day
Explanation:
please mark me as the brainliest
1. A bicyclist travels for 1.5 hours at an average speed of 23 km/h. How far does the bicyclist travel
in that time?
Answers
Explanation:
23 km/hr x 1.5 hrs = 34.5 km
34.5 km = 34500 meters
50 POINTS! pls answer
Answers
Thanks for points...
But can you type this question.. As it becomes hard to answer if it's in the picture..
Answer:
The correct answer is C - 7.8 < 7 5/6 < 7.9
Step-by-step explanation:
First, convert 7 5/6 to decimal form --> 7.83.
If you don't know how to convert, think about what 5/6 is equal to and put it in decimal form. Add your decimal to the whole number, and there is your answer.
7.83 is in between 7.8 and 7.9, so it must be the answer.
I hope this helps!
Un hamster fait tourner sa cage de 27cm de diamètre a raison de 14tours par minute .quel est le module de l accélération centripète d un morceau de nourriture collé sur la paroi extérieure de la cage ?
Answers
Answer:
Explanation:
a_c = ω²R
14 rev/min (2π rad/rev)(1 min/60 s) = 1.466 rad/s
a_c = 1.466²(0.27/2)
a_c = 0.29 m/s²
Le hamster est lent
Two rowboats on a lake are lined up, in contact, front to back in the same direction. A passenger in the rear boat pushes the front boat directly forward with a force of 40 N.
How much force does the front boat exert on the rear boat?
A. 0N
B. 20N
C. 40N
D. 80N
Answers
The answer is C. 40N.
Some thermal mugs have layers of materials to keep drinks hot for as long as possible. Which combination of layers would work best for this purpose? A. Inner core of steel, no air gap, outer layer of glass B. Inner core of steel, air gap, outer layer of plastic C. inner core of steel no air gap outer layer of glass D inner core of steel no air gap outer layer of plastic
DONT ANSWER IF U DONT KNOW DO NOT GUESS THIS IS FOR A GRADE
Answers
The best combination of layers that would work best for this purpose is an inner core of steel, no air gap, and an outer layer of glass. Option A is correct.
Thermal mugs have the ability to maintain the internal body temperature and heat of their container. For the heat to be maintained for an extended period of time. The internal core must be lined with steel because it radiates less heat compared to the glass. The steel also has high conductivity and lesser specific heat to keep drinks hot for a long period of time.
Therefore, we can conclude that for thermal mugs to keep drinks hot for as long as possible, the inner core must be lined with steel, no air gap, and contain an outer layer of glass.
Learn more about thermal conductivity here:
https://brainly.com/question/7643131?referrer=searchResults
Answer:
A
Explanation:
In a science fiction novel two enemies, Bonzo and Ender, are fighting in outer spce. From stationary positions, they push against each other. Bonzo flies off with a velocity of +1.8 m/s, while Ender recoils with a velocity of -2.6 m/s. Determine the ratio mBonzo/mEnder of the masses of these two enemies.
Answers
Answer:
Explanation:
Conservation of momentum
Initial momentum is zero
mB(1.8) + mE(-2.6) = 0
mB(1.8) = mE(2.6)
mB/mE = 2.6/1.8
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
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
Find the average speed of a car that goes 80 miles in 3 hrs.
Answers
Answer:
26.6666666667Explanation:
80 divided by 3
The average speed was 26.67 Miles per hour (mph)
speed= distance ÷ time
speed= 80 miles ÷ 3 hours
speed= 26.67mph
Hope this helped you- have a good day bro cya)
Which statement best explains how a planet affects the orbit of a comet as the comet passes by the planet?
Answers
PLEASE HELP ASAPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Basketball
Explanation:
Im asuming basketball because a basketball has the least movement out of the rest of the answers.
Assuming that the slug's body is 3% salt, what is the most likely prediction that would result from placing the slug into a 6% salt solution?
Answers
Answer: As i know, please see the Explanation
Explanation:The cell contains 3% salt, so we can safely assume that it contains 100%−3%=97% water.
As an airplane leaves the runway and goes into the air, has acceleration occurred?
a
Yes, the plane changed direction.
b
No, the speed is not mentioned.
c
Not enough information.
d
No, acceleration does not include going in an upwards direction.
Answers
What happens if hair has static electricity
Answers
Answer:
it goes up
Explanation:
Select the correct answer.
What does the expression “75 meters per second southeast” best describe?
A.
acceleration
B.
distance
C.
speed
D.
velocity
Answers
Answer:
my answer would be A I'm not sure about that
Answer: The answer would be D. Velocity
Explanation: Velocity is measured in meters per second.
Please help with this diagram as soon as possible.
Answers
FIGURE 1 shows a 10 kg uniform metal rod with 2.0 m long pivoted at its centre C. A 20 N force is exerted on the rod, 0.5 m from point C. If the rod is in equilibrium, determine the
a) force, F needed.
b) magnitude and the direction of the force exerted at point C.
Answers
Answer:
Explanation:
Assuming we are looking parallel to a horizontal pivot pin with positive UP to the top of the picture, and the 20 N force acts perpendicular to the rod.
Sum moments about C to zero assume CW is the positive moment.
The rod mass causes no moment because there is no moment arm about C.
Fsin50[1.0} - 20[0.5] = 0
F = 10/sin50
F = 13 N
Summing vertical forces to zero With R being the pin reaction at C
Ry - F - 20sin50 - mg = 0
Ry = 13 + 20sin50 + 10(9.8)
Ry = 126.32 N
Summing horizontal forces to zero assuming a right directed force is positive.
Rx + 20cos50 = 0
Rx = -12.855...
R = √(-12.855² + 126.32²) = 126.972
R = 127 N
θ =arctan(126.32/-12.855) = 95.8107... = 5.8° CCW from UP
If an object has a mass of 100 kg and is accelerating at a rate of 3.3 m/s², how much force is the object receiving?
Answers
Answer:
133 kg
Explanation:
the statement was the last time I get home and get some sleep and then we can
Answer:
need my points back
Explanation:
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
TRUE OR FALSE The sun has more gravity than the earth because it is more massive.
Answers
Someone pls help I don’t understand this
Answers
Answer:
[tex]{ \rm{F _{ball \: on \: bat} = - F _{bat \: on \: ball} }}[/tex]
Explanation:
• This is due to the third newtons law of motion which states that "Every action has an equal and opposite reaction".
The period of rotation of Mars is 1 day and 37 minutes. Determine its frequency of rotation in Hertz.
Answers
The frequency of rotation of Mars is 0.0000113 Hertz.
Given the following data:
Period = 1 day and 37 minutes.To find the frequency of rotation in Hertz:
First of all, we would convert the the value of period in days and minutes to seconds because the period of oscillation of a physical object is measured in seconds.
Conversion:
1 day = 24 hours
24 hours to minutes = [tex]60[/tex] × [tex]24[/tex] = [tex]1440[/tex] minutes
[tex]1440 + 37 = 1477 \; minutes[/tex]
1 minute = 60 seconds
1477 minute = X seconds
Cross-multiplying, we have:
[tex]X = 60[/tex] × [tex]1477[/tex]
X = 88620 seconds
Now, we can find the frequency of rotation of Mars by using the formula:
[tex]Frequency = \frac{1}{Period}\\\\Frequency = \frac{1}{88620}[/tex]
Frequency of rotation = 0.0000113 Hertz
Therefore, the frequency of rotation of Mars is 0.0000113 Hertz.
Read more: https://brainly.com/question/14708169
PLEASE HELPPPPPPPPPPPPP
Answers
Answer: sliding
Explanation:
A snow skier slowing to a stop after skiing down a mountain is an example of sliding friction
Answer:
static friction
Explanation:
DUE IN AN HOUR! HELP!!
A charged ball has a charge of -3.5x10-17c . How many electrons are found in the ball?
Answers
Answer:
218 electrons
Explanation:
pls find the attached image for solution
Brainliest! :)
Please complete the following:
You and Tim, who is larger than you, are outside with a wagon. Tim (the bigger person) gets in the wagon and you (the smaller one) pull it. As you pull it, you accelerate until you reach a comfortable velocity. Then you stop and switch places with Tim. Tim now pulls you in the wagon, accelerating from a stop to a comfortable velocity. Now, Tim may be bigger than you, but you have been working out and are just as strong as Tim, so the force that Tim uses to pull the wagon is the same force that you used. You both pull with the exact same amount of force. Who was riding in the wagon when it had the greatest acceleration during start up? Why? Use Newton’s second law to explain.
Now Sara comes along, and she is the exact same size as you. However, she is even stronger than you! When she pulls you in the wagon, she pulls with a greater force than when you pull her. Now who is in the wagon when it has the greatest acceleration? Explain, using Newton’s second law.
Answers
Answer:
First scenario,
From 2nd Newton's law
F = ma
from the above eqn, it's evident
a = F/m
that is to say, acceleration is inversely proportional to mass
The greater the mass, the smaller the acceleration and the higher the acceleration, the smaller the mass.
Thus, You was in the wagon when it had the greatest acceleration because You has the smaller mass and thus the acceleration will be greater.
Second scenario,
Since Sara pulls with greater force and Force is directly proportional to acceleration according to the second Newton's law,
F = ma
then, when You is in the wagon it had greater acceleration since they have the same mass.
All the best!
What is the word meaning for every for each
Answers
Answer:
There grateful for each and every aportunity they've been given
A 5.0 kg cannonball is fired horizontally at 68 m/s from a 15-m-high cliff. A strong tailwind exerts a constant 12 N horizontal force in the direction the cannonball is traveling. What is the extra distance (d)?
Answers
Answer:
3.7 m
Explanation:
ASSUMING this means extra distance beyond where the cannonball would land WITHOUT the wind assistance but in general ignoring air resistance. Hmmmmmm...tricky
The ball drops from vertical rest to ASSUMED horizontal ground 15 m below in a time of
t = √ (2h/g) = √(2(15)/9.8) = 1.75 s
Without the tail wind, the ball travels horizontally
d = vt = 68(1.75) = 119 m
The tailwind exerts a constant acceleration on the ball of
a = F/m = 12/5.0 = 2.4 m/s²
The average horizontal velocity during the flight is
v(avg) = (68 + (68 + 2.4(1.75)) / 2 = 70.1 m/s
so the distance with tailwind is
d = v(avg)t = 70.1(1.75) = 122.675 m
The extra distance is 122.675 - 119 = 3.675 = 3.7 m
A grand prix racing car has an average lap speed of 180km/h.Each lap is 4.5 km. How many laps will it complete in 1.5 hours
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Lap speed = 180 km/h
Each lap is about 4.5 km
So, number of laps it will complete in 1.5 hour :
[tex] \dfrac{180}{4.5} \times 1.5[/tex][tex] \dfrac{180}{3} [/tex][tex]60 \: \: laps[/tex]