katie measured the distance her friend morgan ran on a straight track every 2s. her measurements are recorded in the table below. what was morgan’s average speed? what was her acceleration for the entire trip?
Answer:
The average speed of her is 2 m/s.
The acceleration for the entire trip is 0.2 m/s²
Explanation:
Given that,
katie measured the distance her friend morgan ran on a straight track every 2s.
According to given chart,
We need to calculate the average speed
Using formula of average speed
[tex]v_{avg}=\dfrac{D}{T}[/tex]
Where, D = total distance
T = total time
Put the value into the formula
[tex]v_{avg}=\dfrac{20}{10}[/tex]
[tex]v_{avg}=2\ m/s[/tex]
We need to calculate the acceleration for the entire trip
Using equation of motion
[tex]v=u+at[/tex]
[tex]2=0+a\times10[/tex]
[tex]a=\dfrac{2}{10}[/tex]
[tex]a=0.2\ m/s^2[/tex]
Hence, The average speed of her is 2 m/s.
The acceleration for the entire trip is 0.2 m/s²
describe the motion of an object has an acceleration of 0 m/s2
Answer:
The object is either traveling at a constant speed or is not moving.Explanation:
It is not possible for the position of an object to be changing and the acceleration to be zero. Acceleration is the change in velocity divided by the change in time.There are only two possible situations if the motion of an object has an acceleration of 0 m/s²,
Either the object is at rest or the object is moving at a uniform velocity
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As we know the rate of change of velocity is known as acceleration
acceleration =change in velocity/change in time
As given in the problem statement the motion of an object has an acceleration of 0 m/s²
Considering that every moving particle has zero overall acceleration. The particle will then experience zero overall applied force.
Newton's first law states that if all forces acting on a moving object are equal to zero, the object will be traveling in a straight line at a constant speed.
When there is no acceleration, the particle's motion will continue in the same direction. Additionally, the particle's velocity will not remain constant if the direction of motion changes.
Thus, If an object's motion has an acceleration of 0 m/s², there are only two possible outcomes: either the object is at rest or it is moving at a constant speed.
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what is the dot product and cross product of of two vectors if the angle is between them is 90 degree?
[tex]\sf{\pink{\underline{\underline{\blue{GIVEN:-}}}}}[/tex]
The angle between the two vectors is 90° .[tex]\sf{\pink{\underline{\underline{\blue{TO\: FIND:-}}}}}[/tex]
The dot product of two vectors .The cross product of two vectors .[tex]\sf{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]
⚡ Let [tex]\rm{\vec{a}}[/tex] and [tex]\rm{\vec{b}}[/tex] are the two vectors .
✍️ We have know that,
[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:.\:\vec{b}\:=\:ab\cos{\theta}\:}}}}[/tex]
Where,
θ = 90°[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\cos{90^{\degree}}\:}[/tex]
cos 90° = 0[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\times{0}\:}[/tex]
[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:0\:}[/tex]
[tex]\rm{\red{\therefore}}[/tex] [1] The dot product of two vectors is “ 0 ” .
✍️ We have know that,
[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:\times\:\vec{b}\:=\:ab\sin{\theta}\:}}}}[/tex]
Where,
θ = 90°[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\sin{90^{\degree}}\:}[/tex]
sin 90° = 1[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\times{1}\:}[/tex]
[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\:}[/tex]
[tex]\rm{\red{\therefore}}[/tex] [2] The cross product of two vectors is “ ab ” .
the dot and cross product will become zero if the angle becomes 90°
hope it helps you...
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two teams are playing tug of war. Team A pulls to the right with a force of 450 N. Team B pulls to the left with a force of 415 N
Answer:
team A - team B = 450 N - 415 N
= 35 N
Explanation:
net force on the rope is 35 N and the direction is towards A.since the two teams are pulling away from each other with the given forces, the net force can be calculated by subtracting the forces.
The net force on the rope is 35N in right direction
What is Net Force? The net force is the vector sum of forces acting on an object,How to calculate the Net force?The force applied by Team A is 450N to the right (Given)The force applied by Team B is 415 N to the left (Given)We need to find the Net force applied on the rope and the directionAs We know that ,
[tex]F_{net} = F_1+F_2[/tex]
Now as The direction of the Team A is right so the Force applied will be positive, that is 450N
Simultaneously , The direction of Team B is left so the Force applied will be negative , that is -415N
Here,
F1 = 450N
F2 = -415N
[tex]F_{net} = F_1+F_2[/tex]
= 450+ (-415N)
= 450-415
=35N
Hence the net force applied is 35N and as the net force is positive the direction will be right
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How many nanoCoulombs are there in a milliCoulomb
Answer:
1 millicoulomb = 1000000 nanocoulombs.
Explanation:
The SI unit for electric charge is Coulomb.
1 coulomb = 1000000000 nC (nanocoulombs)
1 coulomb = 1000 mC (millicoulombs)
Jennifer, who has a mass of 50.0 kg, is riding at 35.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid hitting a deer crossing the road. She strikes the air bag, that brings her body to a stop in 0.500 s. What average force does the seat belt exert on her
Answer:
Average force = 3.5 kN
Explanation:
Given:
Mass of Jennifer (m) = 50 kg
Initial velocity = 35 m/s
Time taken to stop body = 0.5 s
Find:
Average force
Computation:
v = u + at
0 = 35 + a(0.5)
Acceleration (a) = - 70 m/s² = 70 m/s²
Average force = ma
Average force = (50(70)
Average force = 3500 N
Average force = 3.5 kN
6
Question 2 (1 poin)
A rocket traveling at 39.09 m/s is accelerated uniformly to 99.03 m/s over a 22.82 s
interval. What is its displacement during this time
Answer: a
Explanation:
If, as is typical, each of them breathes about 500 cm3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year
Answer:
a) 12614.4 m^3
b) 28.8 m
Explanation:
The complete question is
Four astronauts are in a spherical space station. (a) If, as is typical, each of them breathes about 500 cm^3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air?
The average breathing rate is 12 breaths per minute
there are 60 minutes x 24 hours x 365 days in a year = 525600 minutes in a year
if an average human takes 12 breath per minute, then in a year an average human take 12 x 525600 = 6307200 breath
For the four astronauts, the amount of breath = 4 x 6307200 = 25228800 breath in total.
The volume of air per breath = 500 cm^3
1 cm^3 = 10^-6 m^3
500 cm^3 = [tex]x[/tex] m^3
[tex]x[/tex] = 500 x 10^-6 = 5 x 10^-4 m^3
Therefore in a year, the volume of these astronauts breath in a year = 5 x 10^-4 x 25228800 = 12614.4 m^3
b) If the space station is spherical, the volume will be given as = [tex]\frac{4}{3} \pi r^3[/tex]
where r is the radius of the space station
This volume of the space station must be able to contain all the volume of breath produced by the astronauts which is = 12614.4 m^3
Equating, we have
12614.4 = [tex]\frac{4}{3} \pi r^3[/tex]
12614.4 = [tex]\frac{4}{3}*3.142*r^3[/tex]
12614.4 = 4.1893[tex]r^{3}[/tex]
[tex]r^{3}[/tex] = 12614.4/4.1893 = 3011.1
r = [tex]\sqrt[3]{3011.1}[/tex] = 14.4 m
diameter of the space station = 14.4 m x 2 = 28.8 m
A long distance runner sees the finish line and accelerates at a rate in 1.2 m/s2 for
the last 3 seconds to win the race. If he was initially running at speed of 3.2 m/s,
how far did he travel?
Answer: he did travel 15 meters.
Explanation:
We have the data:
Acceleration = a = 1.2 m/s^2
Time lapes = 3 seconds
Initial speed = 3.2 m/s.
Then we start writing the acceleration:
a(t) = 1.2 m/s^2
now for the velocity, we integrate over time:
v(t) = (1.2 m/s^2)*t + v0
with v0 = 3.2 m/s
v(t) = (1.2 m/s^2)*t + 3.2 m/s
For the position, we integrate again.
p(t) = (1/2)*(1.2 m/s^2)*t^2 + 3.2m/s*t + p0
Because we want to know the displacementin those 3 seconds ( p(3s) - p(0s)) we can use p0 = 0m
Then the displacement at t = 3s will be equal to p(3s).
p(3s) = (1/2)*(1.2 m/s^2)*(3s)^2 + 3.2m/s*3s = 15m
The value of atmospheric pressure at sea level
Answer:101.325 kilopascals
Explanation:
A 300 g walking stick is placed on a pivot and balanced by a 100 g mass, as shown in
Figure 5.20. Calculate the distance of the centre of gravity of the stick from the pivot.
Answer:
Purplemath
The first term in the binomial is "x2", the second term in "3", and the power n is 6, so, counting ... x12 + 18x10 + 135x8 + 540x6 + 1215x4 + 1458x2 + 729 ... So memorize the Theorem and get the easy points.
Answer:
the distance of the center of gravity of the stick from
Δ = 5 cm to make it equilibrium or balance.
Explanation:
100 g
______Π___________________________________)
|<--- 15-----Δ--- x--->|
weight of stick (w) = 300 g acting on center with x distance from support Δ.
to get the x distance to make stick and a block balance, take moment from support.
ΣM at Δ = 0
0 = 100 (15) - 300(x)
0 = 1500 - 300x
300x = 1500
x = 1500 / 300
x = 5
therefore, the distance of the center of gravity of the stick from Δ = 5 cm
to make it equilibrium or balance.
In terms of matter and resources, Earth is essentially a(n) ________ system ; in terms of energy, Earth is a(n) ________ system.
Answer:
b
Explanation:
Describe the abiotic factors that are essential for your organism to survive
Answer:
Abiotic factors include water, sunlight, oxygen, soil and temperature. Water (H²0) is a very important abiotic factor - it is often said that "water is life." All living organisms need water. Plants must have water to grow.... Without the sun, plants could not live, and without plants, animals could not live!
Explanation:
*Hope this helps*
Write a explanation explaining why red is a beautiful color is not a hypothesis
Answer:
Please find the explanation below
Explanation:
A hypothesis in science is a testable explanation that is yet to be tested via experimentation. It is a predictive statement or suggested solution to an observation. A hypothesis aims at finding a possible explanation/answer to a question, which is subject to testing. One important aspect of formulating a hypothesis is that it tends to connect the independent variable with the dependent/measurable variable.
The statement "RED IS A BEAUTIFUL COLOR" cannot be considered a hypothesis because it does not aim to answer a question that can undergo experimental testing. This statement can not be measured via experimentation. The statement is not a possible answer to a question but rather a personal opinion about something.
It takes a person 22 seconds to swim in a straight line from the south end of the pool to the north end of the pool a distance of 28 meters. What is the swimmers velocity? A. 0.8 m/s south b. 1.3 m/s north C. 1.3 m/s north D. 0.8 me north
Answer:1.3 m/s north
Explanation:
just did it on apex
True or False: Translations are rigid transformations.
Answer:
Explanation:
Yes, translations are rigid transformations. You can verify that the distances between the points are preserved.
Answer:
True
Explanation:
In translation, all points of the figure move the same distance and in the same direction. The shape and size of the image remains the same as the preimage
what oversimplified assumption does the graph make about number of types of products the society produces?
Answer:
CAN'T UNDERSTAND YOUR QUERY
Explanation:
What is your qurey. plz explain properly.
what acceleration of a 45 kg mass pushed with 15 N of force?
Explanation:
Fnet = ma.
Assume that there is no resistance acting on the mass. Therefore a = 15N / 45kg = 0.33N/kg or 0.33m/s^2.
If multiple measurements are taken and they vary quite a bit from each other, the measurements are
Answer:
precise
Explanation:
usatestprep
The degree of agreement between two or more measurements is what is referred to as a substance's precision. Your measurement is incredibly exact, but not necessarily correct if you weigh the same substance five times and obtain 3.2 kg each time.
What precision vary quite a bit from each other?The level of agreement between measurements of the same thing is known as precision. Accuracy is not necessary for precision. In other words, it is possible to be accurate without being exact, as well as to be highly precise but not particularly accurate.
As was mentioned before, you can be extremely exact but inaccurate. You can also be precise while being inaccurate. For instance, you have accuracy without precision if, on average, your measurements for a specific substance are close to the known value, but the measurements are far apart.
Therefore, The standard deviation, or the amount and frequency of measurement variation, is what determines precision. A high standard deviation indicates low precision, according to the metric.
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differences differences between gravity and acceleration due to gravity
Look at this table. Accleration of gravity means gravitational constant.
what is meant by pressure?write its unit.
Answer:
Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed
Unit: Pascal (Pa)
1Pa = 1N/m^2
What is an example of a concentric contraction
Answer:
an example is a bicep curl
Explanation:
A concentric contraction is a type of muscle activation that causes tension on your muscle as it shortens. As your muscle shortens, it generates enough force to move an object.
A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
(1 point)
more than 3 kg⋅m/s
3 kg⋅m/s
It depends on the mass of each ball.
less than 3 kg⋅m/s
A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls that have been just sitting there at rest and not moving.
The total momentum of all four balls after the collision is 3 kg⋅m/s, because momentum is not created or destroyed. The total amount of it after an event is the same as the total amount of it before the event.
The momentum of the billiard balls after the collision is 3 Kgm/s.
Let the billiard ball be B.Given the following data:
Momentum B = 3 Kgm/sTo find the momentum of the balls after the collision:
Momentum is simply a multiplication (product) of the mass of an object with its velocity. Also, momentum is a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
[tex]Momentum = Mass[/tex] × [tex]Velocity[/tex]
[tex]Total \; momentum = Momentum \; B + Momentum \;of \;the \;other\; balls.[/tex]
Since the other billiard balls were at rest (not experience any motion), there velocities would be zero (0) m/s.
Substituting the given values, we have:
[tex]Total \; Momentum = 3 + 0[/tex]
Total momentum = 3 Kgm/s.
Therefore, the momentum of the billiard balls after the collision is 3 Kgm/s.
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Which is one piece of information that astronomers use to calculate the age of the universe?
Answer:
the age of the oldest stars patterns of background radiation how fast distant galaxies are moving away from usExplanation:
According to the NASA, astronomers can estimate how old the universe is by comparing the age of the oldest stars and the rate of expansion of the universe. The rate of expansion of the universe is based on the Big Bang theory and it states that our universe is continuously expanding since it first developed. Astronomers measure Cosmic Microwave Background radiation resulting from the Big Bang.
Answer:
Patterns of background radiation
Explanation: well astronomy states that they are able to tell by the radiation gaps
Which are characteristics of refraction
Answer:
When light travels from one medium to another, the frequency of light does not change. However, the velocity and wavelength change.
Explanation:
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Marissa is an extremely curious sixth grader. During a snow day she looked out her window and saw a truck spreading something all over the road. After the truck went past Marissa's house, she had a snack, put on her snow boots, hat, coat and gloves and went outside to play. She walked over to the edge of her driveway and observed salt all over the roadway, but not the sidewalks or her driveway. She also observed some of the snow and ice had melted off the roadway but not her driveway or sidewalks. She wondered if the ice and snow melting was due to the salt?
Answer:yes
Explanation:
ice melter because it causes freezing point depression.This means that salt helps in lowering the freezing point.
Mad scientists looked at the growth of claw size in mutant lobsters due to drinking different amounts of seawater contaminated with Pepsi. Independent Variable: Dependent Variable: Controlled Variable:
Answer:
Dependent Variable: growth of claw size in mutant lobsters
Independent variable: different amounts of seawater contaminated with Pepsi
Controlled variable: Mutant Lobsters
Explanation:
A dependent variable is one that depends on another factor to get it's result.
An independent variable is one that doesn't rely on another factor/variable to derive it's result.
A controlled variable is one which is constant and remains unchanged throughout the course of the experiment/investigation. Which means it verifies the behavior between the dependent and independent variables.
Now, in the question, the growth of claw size in the mutant lobsters depends on the different amounts of seawater contaminated with Pepsi.
Thus growth of claw size in mutant lobsters is a dependent variable while different amounts of seawater contaminated with Pepsi is an independent variable.
The mutant lobsters would be used throughout the investigation to know the relationship between the dependent and independent variable and wouldn't be changed. Thus, they are controlled variable.
Neglecting air resistance, which of the following statements is true regarding an object in freefall?Lector inmersivo A. An object’s acceleration increases at a constant rate. B. An object maintains a constant velocity. C. An object falls an equal distance in between each second. D. An object’s velocity and acceleration both increase at a constant rate. E. An object’s velocity changes at a constant rate, and its acceleration remains constant.
Answer:
E. An object’s velocity changes at a constant rate, and its acceleration remains constant.
Explanation:
When an object is in freefall, it implies that the object is falling freely under gravity. If it falls towards the earth surface, the fall is in the direction of the Earth's gravitational force.
At the point of release of the object, its initial velocity is zero because it is at rest. But when released, its velocity increases at a constant rate until it is acted upon by an external force. But its acceleration remains constant, acceleration due to gravity.
Which of the following is an example of technology influencing science?
A.Use of recording devices to view the growth of plants.
B.Use of X-ray machines for airport security.
C.Invention of the microscope to observe cells.
D.Invention of the thermometer to measure heat.
Answer:A and C
Explanation:
Answer:
a
Explanation:
Which of the following is true of the structures labeled A in the cell membrane?
Choose 1 answer:
(Choice A) A They are membrane proteins.
(Choice B) B They are entirely hydrophobic.
(Choice C) C They are phospholipids.
(Choice D) D They are carbohydrates.
Answer: a, they are membrane proteins
Explanation:
Awnser A is the correct awnser