The average speed for the trip is 102.4 km/h.
The magnitude of average velocity for the trip is 171.7 km/h in the direction of 27⁰ south of west.
What is average speed?
The average speed of an object is the ratio of total distance traveled by an object to the total time of motion.
avg. speed = total distance / total time of motion
total time of motion = (10 min/60 min/hr) + (22 min/60 min/hr)
total time of motion = (0.167 hr) + (0.367 hr) = 0.534 hr
total distance = (108 km/hr x 0.367 hr) + (90 km/h x 0.167 hr) = 54.67 km
avg. speed = (54.67 km)/(0.534 hr) = 102.4 km/h
Average velocity of the tripThe average velocity of the trip is the resultant velocity of the trip.
Vy = -90 km/h x sin(60) = -77.94 km/h
Vx = (-108 km/h) + (-90 km/h x cos 60)
Vx = -153 km/h
V = √Vy² + Vx²
V = √[(-77.94)² + (-153²)]
V = 171.7 km/h
Direction of the velocityθ = arc tan(Vy/Vx)
θ = arc tan (-77.94/-153)
θ = 27⁰ south of west
Thus, the magnitude of average velocity for the trip is 171.7 km/h in the direction of 27⁰ south of west.
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A yellow-gold object has a mass of 57.9 g and its volume is 3 cm³. Could the object be made of gold?
Density of gold: 19.3 g/cm³
Yes, the object is made of gold if the yellow object has a mass of 57.9 g and its volume is 3 [tex]cm^{3}[/tex].
Mass of object = 57.9 g
Volume of object = 3 [tex]cm^{3}[/tex]
Also, given density of gold: 19.3 g/[tex]cm^{3}[/tex]
We know that, Density = Mass/Volume
= 57.9/3
=19.3 g/[tex]cm^{3}[/tex]
So we calculated the density from the given data in question.
As the density of gold and the given yellow object is same we can conclude that the object is made of Gold.
It is yellow too which is a property of gold and the density is same as well.
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Liz rushes down onto a subway platform to find her train already departing. She stops and watches the cars go by. Each car is 8.60 m long. The first moves past her in 1.80 s and the second in 1.61 s. Find the constant acceleration of the train.
The constant acceleration of the train is 0.33 m/s.
The average velocity can be calculated by using the formula:
velocity = distance/time
For the 1st car, the velocity is calculated as:
v₁ = 8.60 m / 1.80 s = 4.78 m / s
For the second car, velocity can be calculated as:
v₂ = 8.60 m / 1.66 s = 5.34 m / s
Now we can solve for the acceleration using the formula:
v₂² = v₁² + 2 a d
Rewriting in terms of a, we get
a = (v₂² – v₁²) / 2 d
a = (5.34)² – (4.78)² / (2 × 8.6)
a = 0.33 m/s
Therefore, the constant acceleration of the train is 0.33m/s.
what is acceleration explain?
acceleration, fee at which speed modifications with time, in terms of each pace and course. A factor or an object shifting in a directly line is improved if it hastens or slows down. motion on a circle is improved even if the velocity is steady, due to the fact the route is constantly converting
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I need help with this question , thank you
Answer:
Should be 400m
Explanation:
The diagram below shows how sunlight is radiated back into the Earth's atmosphere as heat (infrared radiation).
A: Conduction
B:Coriolls Effect
C:The Greenhouse effect
D: The global warming effect
The diagram that shows how sunlight is radiated back into the Earth’s atmosphere as heat(infrared radiation) is of the Greenhouse effect.
The greenhouse effect is a natural phenomenon that occurs on Earth and heats up our atmosphere.
The name of this effect is derived from a greenhouse, which is used to grow crops in a special environment.
A greenhouse is basically a house that is made up of glass. The glass allows heat to enter the house but it does not allow the heat to escape to the outside thus keeping the greenhouse warm.
Some gases that are responsible for this effect are known as greenhouse gases. These gases are carbon dioxide, methane, chloro- fluoro carbons, etc.
These gases trap the heat of the sun and raise the temperature of Earth thus causing global warming.
Thus, the diagram that shows how sunlight is radiated back into the Earth’s atmosphere as heat(infrared radiation) is of the Greenhouse effect.
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2. What does the term Brownian motion mean?
Answer:
The term Brownian motion is the random movement of particles in a liquid repeatedly collapsing with other molecules.
Explanation:
Hope It Helps
Sorry If I'm Wrong
If I stop applying a force to an object, will it continue to accelerate? Why?
Answer:
As long as the force is applied to a given object, it will to accelerate. Once the force is withdrawn, the object will continue to move at a constant velocity, according to the Law of Inertia.
Explanation:
d = 250 g/cm³ V = ? m = 1000 g
The volume is 4cm³.
The mass of a substance per unit of volume is its density. Density is most frequently represented by the symbol ρ.The density is 250g/cm³.Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull on other bodies is also influenced by its mass. The kilogramme serves as the SI's fundamental mass unit.The mass is 1000g.density = mass/volumeVolume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units.volume = mass/densityvolume = 1000/250volume = 4cm³To learn more about density, visit :
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What is the total capacity in gallons of a rectangular tank 5 meters in height knowing that it will hold 200 liters per foot?
The total capacity in gallons of the rectangular tank is 866.58 gallons
How to find the total capacity in gallons of the rectangular tank?Since the rectangular tank is 5 meters in height knowing that it will hold 200 liters per foot, we need to know the total capacity of water it contains for the height of 5 meters.
Converting 5 m to feet, we have
Since 1 m = 3.28 ft, we have
5 m = 5 × 1 m = 5 × 3.28 ft = 16.4 ft
Since the height of the tank in feet is 16.4 ft and the tank holds 200 L/ft, then the total capacity of water in 16.4 ft is D = 200 L/ft × 16.4 ft
= 3280 L
To know the total capacity of the tank in gallons,we convert 3280 L to gallons
Since 1 L = 0.2642 gallons, converting 3280 L to gallons, we have
3280 L = 3280 × 1 L = 3280 × 0.2642 gallons
= 866.576 gallons
≡ 866.58 gallons
So, the total capacity in gallons of the rectangular tank is 866.58 gallons
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In a tug-of-war between two athletes, each pulls on the rope with a force of 640 N What is the absolute value of the horizontal force that each athlete exerts against the ground?
Since the rope is not moving, the 300N tension acts as if the other end of the rope were fixed to a certain location for each team. It must exert an equivalent and opposing horizontal force, thus it is 300N as well.
The tension in the rope during a tug-of-war is caused by pulling forces at both ends. Since there is a 250 N pulling force at either end, but it pulls in the opposite direction, the tension on the rope will be caused by these two pulling forces together. When two opposing forces of 100N each are applied to the ends of a rope, the tension in the rope will be zero because the opposing forces, despite having the same magnitude, operate on the same body in opposing directions and cancel one another out.
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When water boils, is it steam or water vapor?
Answer:
It is water vapor.
Explanation:
When water boils, it is changing state from a liquid to a gas.
Answer: It is water vapor. When water boils, it is changing state from a liquid to a gas.
Explanation:
What is the purpose of the Unified Standard?
a. It creates one size of universal thread among all fasteners.
b. It makes it possible to translate fastener names from one language to another.
Oc. It makes it possible to interchange fasteners from one country to another.
d. All of the above are true
The purpose of the Unified Thread Standard is to create one size of universal thread among all fasteners.
The Unified Thread Standard describes standard thread forms and sizes along with allowances, tolerances and designations. It is common in United states and Canada until 1949. Then it became incompatible with the newer standards so that it became obsolete from then.
It is a standard used for a wide variety of fasteners. The profile in this standard is 60°. 1 / 8 th of the outer side is cut off and 1 / 4 th of the inner side is cut off.
Therefore, the purpose of the Unified Thread Standard is to create one size of universal thread among all fasteners ( a ).
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Question 11 (2 points)
Observe the diagram below. A person starts at A, walks along the bold path and finishes at B. Each square
is 1 km along its edge. Use the diagram in answering the next two questions.
This person walks a distance of ____31____ km.
This person has a displacement of ____3____km.
Since we can see in the figure, it is also stated in the question that each square has a 1km boundary. A bold line runs across 31 edges from A to B.
As a result, the total distance traveled from A to B is 31 kilometers.
Because displacement is the distance between the original and final positions. The displacement in the diagram is 3km. As there is a three-block discrepancy between the beginning and end positions.
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During a NASCAR race a car goes 50 m/s around a curved section of the track that has a radius of 250 m. What is the car's
acceleration?
Answer:10
Explanation: Acceleration of car is given by a= v^2/r, v= 50m/s, r= 250m a= 10 m/s^2 2
Rattlesnake Frequency A timber rattlesnake (Crotalus horridus) shakes its rattle at a characteristic frequency of about 3100 shakes per minuteWhat is this frequency in shakes per second?
Answer:
See below
Explanation:
31 00 sh / min / 60 s / min = 51 2/3 shakes per second
find the number of significant figures in the following product:
0.005032 x 4.0009
The number of significant figures in the following product: 0.005032 x 4.0009 is 9.
What is significant figure?Significant figure is a figure that is meaningful with respect to the precision of a measurement.
It is a digit that is nonzero, followed by a nonzero digit, or (for trailing zeroes) justified by the precision of the derivation or measurement.
According to this question, the product of 0.005032 x 4.0009 is as follows: 0.0201325288
The result of this product is as follows:
Decimal notation: 0.0201325288No. of significant figures: 9No. of decimals: 10Scientific notation: 2.01325288 × 10-²Therefore, the number of significant figures in the following product: 0.005032 x 4.0009 is 9.
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there is a 100 newtons of air resistance pushing you back and you are pedaling your bike forward with 600 Newtons of force, how much net force do you have moving you?
Answer:
500 N
Explanation:
600 forward netwtons - 100 backwards newtons =
500 net newtons forward
The actual mass of a metal sphere was reported in the manual catalog to be 3.53 kg.
A group of 4 students were assigned to perform an experiment and measure the mass of the sphere each one of them using a different scale or balance.
Student 1 reported 3.6 kg
Student 2 reported 3.5 kg
Student 3 reported 3.12 kg
Student 4 reported 3.476 kg
Which of the four students reported the most precise measurement?
1. Student 1
2. Student 2
3. Student 3
4. Student 4
The student that gave the most precise measurement is student 2.
What is a precise measurement?A precise measurement is one that is close together especially when we have a replicate measurement. The measurements that are close together are said to be presence. A measurement is accurate when the measurement is quite close to the true value. Precision ad accuracy are very important in a measurement.
In this case, let us consider the measurement of each student;
Student 1 reported 3.6 kgStudent 2 reported 3.5 kgStudent 3 reported 3.12 kgStudent 4 reported 3.476 kgWe can see that the student that gave the most precise measurement is student 2.
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phys 181 check picture
Answer:
see below
Explanation:
a^3 = 125 m^3
b^2 = 8.41 s^2
c = 45 m/s Plug these values into the equation
125 / ( 8.41 * 45) = .33 m^2 / s
A float starts 9.2 m west of a grand stand ( the origin ) for the parade . It heads towards the grandstand at the rate of 1.5m/s . Where is the float located at 3.5s?
The float is 3.95 m west of the grandstand after 3.5 s of its start.
What is Distance in relation with physics?The distance is defined as the total length of the path taken by a moving body in order to reach the final position starting from initial position. Mathematically -
Distance [d] = Speed [s] x time [t]
Given that a float starts from 9.2 m west of a grand stand for the parade with the speed of 1.5 m/s. Therefore we can write -
Speed [s] = 1.5 m/s
Distance between float and grandstand [D] = 9.2 m
The location of the float after 3.5 seconds of its start is as follows-
d = s x t
d = 1.5 x 3.5
d = 5.25
Therefore -
Distance between the float and the grandstand after 3.5 seconds of its start = D - d = 9.20 - 5.25 = 3.95 m
Therefore, the float is 3.95 m west of the grandstand after 3.5 s of its start.
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What is the average velocity of a car that travels 12 kilometers in 0.20 hours?
Answer:
60 km/hr
Explanation:
Looking for km / hr
12 km / (.20 hr) = 60 km/hr
True or False—The vector for a negative acceleration points in the opposite direction when compared to the vector for a positive acceleration.
Answer:
True
Explanation:
Opposites point in opposite directions
A stunt man drops from a building and falls 15m down onto a giant air mattress
sketch
A) How much time does it take for the stunt man to hit the air mattress?
B) What is his velocity as he slams into the mattress (# and direction)?
PLEASE HELP!!! ASAP
A. The time taken for the stunt man to hit the mattress is 1.75 s
B. The velocity the stunt man as he slams into the mattress is 17.15 m/s
A. How to determine the time taken to hit the mattressHeight (h) = 15 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) =?h = ½gt²
15 = ½ × 9.8 × t²
15 = 4.9 × t²
Divide both side by 4.9
t² = 15 / 4.9
Take the square root of both side
t = √(15 / 4.9)
t = 1.75 s
Thus, it will take the stunt man 1.75 s to hit the mattress
B. How to determine the velocityAcceleration due to gravity (g) = 9.8 m/s²Time (t) = 1.75 sVelocity (v) =?v = gt
v = 9.8 × 1.75
v = 17.15 m/s
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Yodi had 5 apples, if yodi has 5 apples and gives away 4, how many apples does yodi have left?
This is based on probability since it is obvious that I have 4 apples if I take away 4 of them.
What does PROBABILITY mean?Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur..
provided the information; one apple. 5–4=1. Your teacher is looking for this response.
According to given information;
The four apples you took total four. Probably the one you want is this.
No apples; they were taken from you.
You gave your friend the entire crop of apples.
The fruits you discarded had worms, therefore you got zero apples.
a trio of apples. You missed one.
One apple. You ate two and cut up one of them for a salad.
Five apples. You had 5 apples and you took 4 of your own.
Five apples. You already had an apple.
Six apples. You already had two apples.
Seven apples. You already had three apples.
Eight apples. You already had four…
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You are asked to do an experiment to measure g. You set up a device that drops a metal ball from rest from a height of 1.650 meters. Using an accurate timing device that detects the release of the ball and it’s landing in the floor, you measure the average time of the falling ball to be 0.585 seconds. What do you measure the value of g as?
The value of g of the metal ball that falls from a height of 1.65 m at an average of 0.585 seconds is 4.82 m / s²
a = v / t
v = d / t
a = Acceleration
v = Velocity
d = Distance
t = Time
d = 1.65 m
t = 0.585 s
v = 1.65 / 0.585
v = 2.82 m / s
g = a = 2.82 / 0.585
g = 4.82 m / s²
Here the acceleration is called as g because the ball is falling vertically. That is why it is called as g ( Acceleration due to gravity )
Therefore, the value of g of the metal ball that falls from a height of 1.65 m at an average of 0.585 seconds is 4.82 m / s²
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If a rocket initially at rest accelerates at a rate of 49.3 m/s/s for 8.7 seconds, its speed will be
decimal place.
Answer:
428.9 m/s
Explanation:
Vf = at = 49.3 m/s^2 * 8.7 s = 428.9 m/s
You want to average 90 km/h on a car trip. You cover the first half of the distance at an
average speed of 48 km/h.
a) What average speed must you have for the second half of the trip to meet your goal?
b) Is this reasonable? Note that the velocities are based on half the distance, not half the
time.
(a) The average speed must you have for the second half of the trip to meet your goal is 8 km/h.
(b) The value obtained (8 km/h) is not reasonable for the second half of the distance since the first half is 48km/h.
What is average velocity?
Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.
average velocity = total distance / total time
v = (d)/(0.5d/v₁ + 0.5d/v₂)
where;
v is the average velocityv₁ is the average velocity during the first halfv₂ is the average velocity during the second half90 km/h = (d) / (0.5d/48 + 0.5d/v₂)
90(0.5d/48 + 0.5d/v₂) = d
0.9375d + 0.5d/v₂ = d
d(0.9375 + 0.5/v₂) = d
0.9375 + 0.5/v₂ = 1
0.5/v₂ = 0.0625
v₂ = 0.5/0.0625
v₂ = 8 km/h
Thus, the average speed must you have for the second half of the trip to meet your goal is 8 km/h.
The value obtained (8 km/h) is not reasonable for the second half of the distance since the first half is 48km/h.
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We have 3 gears meshed with the following teeth. A – 20; B – 50; C – 30. Another set of gears have the following teeth. X – 20; Y – 25; Z – 30. Assuming gears A and X are running at the same rpm. Which statement is correct?
gear C and Z will run at the same RPM
RPM is not a unit, according to the International System of Units (SI). The word "revolution" is a semantic annotation rather than a unit, which explains this. RPM formula sign must be f for (rotational) frequency and or for angular velocity due to the measured physical quantity. s−1 or Hz is the basic SI-derived unit that corresponds. The radians per the second unit are used to express angular speed.
As a result, a disc rotating at 60 RPM is considered to be rotating at either 2 rad/s or 1 Hz, where the former refers to angular velocity and the latter to the rate of revolutions per second.
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S.I unit for moment of inertia of a fly wheel
Answer:
m is expressed in kilograms and r in metres, with I (moment of inertia) having the dimension kilogram-metre square.
Average velocity is different than average
speed because calculating average velocity involves
The correct answer is displacement.
Average velocity differs from average speed because displacement is used to calculate average velocity.
What is displacement?
Being a vector, displacement has both magnitude and direction. In one-dimensional motion, the direction should be stated with a plus or minus sign to ensure sure the direction is right. It always occurs in a straight line between two sites. Although it is not a vector variable and lacks a direction sign, the word "distance traveled" is also used to refer to the length of the path that was taken to get from one place to another. The distance traveled is not always equal in both magnitude and direction; on occasion, it may exceed the magnitude of the displacement between the sites.
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Hypersonic scramjet. On March 27, 2004, the United States
successfully tested the hypersonic X-43A scramjet, which flew at
Mach 7 (seven times the speed of sound) for 11 seconds. (b) How many kilometers
did the scramjet travel during its 11 second test?
25.487 km did the scramjet travel during its 11 second test.
Given that the scramjet travels at a speed seven times that of sound, speed v is equal to 7 x 331 m/s or 2317 m/s.
(A) We require the scramjet's travel time over a distance of
d = 5000 km (5x10^6 m).
Using the formula
time taken = distance traveled/speed,
we can calculate the following:
(5x10^6)/2317 sec
= (5x10^6)/(23175x60) minute
= 5000000/139020 minutes
= 35.97 seconds
As 1 second equals 1/60 of a minute, Therefore, the travel time on Scramjet from San Francisco to New York will be 35.97 minutes.
(B) The distance covered by the Scramjet in 11 seconds must now be determined. as a result,
using speed, distance, and time relation.
Distance = Speed x Time
= 7 x 331 x 11
= 25487 m
Since 1 metre equals 1/1000 of a kilometer, 25487 m of 25.487 km
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