The question is not complete. The complete question is :
During a certain period of time, the angular position of a rotating object is given by [tex]$\theta =2t^2 +10t+5$[/tex], where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0.00 seconds, (b) at t = 3.00 seconds.
Solution :
Given :
Displacement or angular position of the object, [tex]$\theta =2t^2 +10t+5$[/tex]
∴ Angular speed is [tex]$\omega = \frac{d \theta}{dt}$[/tex]
ω = 10 + 4t
And angular acceleration is [tex]$\alpha = \frac{d \omega}{dt}$[/tex]
α = 4
a). At time, t = 0.00 seconds :
Angular displacement is [tex]$\theta =2t^2 +10t+5$[/tex]
[tex]$\theta =2(0)^2 +10(0)+5$[/tex]
= 5 rad
Angular speed is ω = 10 + 4t
ω = 10 + 4(0)
= 10 rad/s
Angular acceleration is α = 4 [tex]$rad/s^2$[/tex]
b). At time, t = 3.00 seconds :
Angular displacement is [tex]$\theta =2t^2 +10t+5$[/tex]
[tex]$\theta =2(3)^2 +10(3)+5$[/tex]
= 53 rad
Angular speed is ω = 10 + 4t
ω = 10 + 4(3)
= 22 rad/s
Angular acceleration is α = 4 [tex]$rad/s^2$[/tex]
Need help can someone tell what each circuit is
Answer:
In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.
In a series circuit, the current that flows through each of the components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. ... In a series circuit, every device must function for the circuit to be complete.
In a series circuit, all components are connected end-to-end, forming a single path for current flow. In a parallel circuit, all components are connected across each other, forming exactly two sets of electrically common points.
Explanation:
I hope these helps^,^ ^_^
Many things can alter your heart rate including: exercise, diet, nutrition, sugar, and caffeine
True or false
Answer:
true
Explanation:
Gasoline is an example of an accelerant. True False
Answer:
true
Explanation:
Answer:
I believe its true
Explanation:
Gasoline is the most common fire accelerant used but it could also be present at a scene as an ignitable liquid due to gasoline being a common fuel. Although ignitable liquids are the most common fire accelerants it is possible to have other chemicals being used as a fire accelerant.
Question 8 of 15
Which of the following distinguishes electromagnetic waves from mechanical
waves?
A. They carry energy.
B. They have frequencies.
C. They have wavelengths.
D. They don't require a medium to travel through.
Answer:
D. They don't require a medium to travel through.
Explanation:
Electromagnetic waves and mechanical waves are both types of waves. Electromagnetic waves are waves that arise from the combination of electric and magnetic fields while mechanical waves are waves that arise as a result of transfer of energy via matter.
One major difference between these two types of waves is that electromagnetic waves such as light waves, radiowaves etc. do not need a medium to travel i.e. they can travel through a vacuum, while on the other hand, mechanical waves such as sound waves need a medium to travel.
Answer:
They don't require a medium to travel through
Explanation: hope this helps
WRITE A PARAGRAPH ABOUT PRESSURE
Answer:
pressure is a horrible thing to go through, it can lead to many bad side effects, like burn out and it can also lead to high blood pressure, head aches, heart problems, depression, anxiety, and many more damaging effects. Pressure can destroy someones mental health if not dealed worth properly
I hope this is okay! I'm not sure what pressure you meant
in addition to genetics, and blank and blank may also cause premature gray hair?
Answer: heretidey and stress
Explanation:
NEED AWNSER NOW! WILL MARK BRAINLY! Which term is defined as the ratio of the speed of light in a vacuum to the speed of light in the material it is passing through?
index of reflection
index of refraction
angle of reflection
angle of incidence
Answer:
Index of refraction.
Answer:
index of refraction
Explanation:
I just took the k12 quiz.
In projectile mtion, what is the y-component of the initial velocity? if V= Vi = 100 m/s and the angle with horizontal axis Θ = 30 degrees
Answer:
hence the y - component of the velocity is 50m/s
A car with a mass of 900 kg is traveling at a
speed of 25 m/s. What is the kinetic energy
from the car's motion?
Explanation:
Kinetic Energy
= 0.5mv²
= 0.5(900kg)(25m/s)²
= 281,250J.
A racecar is driving around a circular track. The car is moving with a speed of 49.7 m/s, and the track has a radius of 114 m. What is the magnitude of the centripetal acceleration of the car?
Answer:
21.67 m/s²
Explanation:
From the question given above, the following data were obtained:
Velocity (v) = 49.7 m/s
Radius (r) = 114 m
Centripetal acceleration (a) =?
The centripetal acceleration can be obtained by using the following formula:
a = v²/r
a = 49.7² / 114
a = 2470.09 / 114
a = 21.67 m/s²
Therefore, the centripetal acceleration of the car is 21.67 m/s²
Two soccer players run toward each other. One player has a mass of 85 kg
and runs west with a speed of 8 m/s, while the other has a mass of 105 kg
and runs east with a speed of 7 m/s. What is the total momentum of the
system made up of the two players?
Answer:
Total momentum, p = 55 kg-m/s
It is given that,
Mass of player 1, m₁ = 85 kg
Mass of player 2, m₂ = 105 kg
Speed of player 1, v₁ = -8 m/s (west)
Speed of player 2, v₂ = 7 m/s (east)
Momentum is equal to the product of mass and velocity. For this system, momentum is given by :
p=m_1v_1+m_2v_2p=m
1
v
1
+m
2
v
2
p=85\ kg\times (-8\ m/s)+105\ kg\times 7\ m/sp=85 kg×(−8 m/s)+105 kg×7 m/s
p = 55 kg-m/s
The total momentum of the system made up of the two players is 55 kg-m/s.
Answer:
p = 55 kg * m/s east
Explanation:
The answer above explains it neatly, but leaves the direction out of the answer. The player heading east has more momentum, so the net momentum of the system is east.
The Sears Tower in Chicago is approximately 444 m tall Suppose a book
dropped from the top of the building what would be the book's velocity
point 222 m above the ground Neglectair resistance.
O 66.0 m/s (downwards)
2.00 m/s upwards)
22.0 m/s (downwands)
/s (
) 66.0 m/
swards,
Answer:
A. 66.0 m/s downwards
Explanation:
The Tower has a height of 444m
The book is dropped ,finding the velocity of the book 222m above the ground, means the book will be on air for a height of 222 m .
Apply the formula for free fall in a horizontal projection as;
h= u²×sin²∅ /2g where
h= maximum height =222m
g= acceleration due to gravity =9.81 m/s²
∅ = projectile angle = 0
u = velocity of the book
Applying the formula as ;
h= u²×sin²∅ /2g
222 = u²/2*9.81
222*19.62 = u²
4355.64 = u²
√4355.64 = u
65.99 m/s = u
66 m/s downwards
define light?it's types
Answer:
Light or visible light is electromagnetic radiation within the portion of the electromagnetic spectrum that can be perceived by the human eye. Visible light is usually defined as having wavelengths in the range of 400–700 nm, or 4.00 × 10⁻⁷ to 7.00 × 10⁻⁷ m, between the infrared and the ultraviolet.
Explanation:
This is one type of light.
The sun's energy begins as what form of energy?
Answer:
nuclear energy.............
The sun's energy begins in the nuclear form of energy. Nuclear energy is the origin of the sun's energy.
Nuclear energy originates from the sun's energy. Nuclear fusion processes happen at the sun's core, transforming protons from hydrogen into helium and releasing a tremendous amount of energy in the process. Nuclear fusion is the term for this action.
Helium nuclei are created from the collision and fusion of hydrogen nuclei in the sun's core, which experiences extremely high temperatures and pressures. An enormous quantity of energy is released during the nuclear fusion process in the form of electromagnetic radiation, especially visible light photons and other types of electromagnetic radiation.
The intense heat and brightness of the sun are maintained by the energy generated by nuclear fusion in its core, giving it a potent source of light and heat that sustains life on Earth and powers a variety of atmospheric and climatic processes.
Hence, the sun's energy begins in the nuclear form of energy. Nuclear energy originates the sun's energy.
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Which screw would create a strong hold?
If the position of a particle on the x-axis at time t is −5t2, then the average velocity of the particle for 0 ≤ t ≤ 3 is
Answer:
v = 15 m / s
Explanation:
In this exercise we are given the position function
x = 5 t²
and we are asked for the average velocity in an interval between t = 0 and t= 3 s, which is defined by the displacement between the time interval
[tex]v= \frac{v_{f} - v_{o} }{t_{f} - t_{o} }[/tex]
let's look for the displacements
t = 0 x₀ = 0 m
t = 3 [tex]x_{f}[/tex] = 5 3 2
x_{f} = 45 m
we substitute
[tex]v = \frac{45 -0}{3 - 0}[/tex]
v = 15 m / s
A ball of radius R and mass m is magically put inside a thin shell of the same mass and radius 2R. The system is at rest on a horizontal frictionless surface initially. When the ball is, again magically, released inside the shell, it sloshes around in the shell and eventually stops at the bottom of the shell. How far does the shell move from its initial contact point with the surface
Answer:
[tex]x =\frac{-R}{2}[/tex]
Explanation:
From the question we are told that mass
Thin layer radius [tex]= 2R[/tex]
Generally the expression for ths solution is given as
Xcm =(m*0 =m(-2R))/2m =-mR/(2m)=-R/2
the center of mass will not move at initial state
Considering the center of mass of both bodies
[tex]xcm=\frac{m*x+m*x)}{2m} =x[/tex]
[tex]x =\frac{-R}{2}[/tex]
Therefore the enclosing layer moves [tex]x =\frac{-R}{2}[/tex]
The shell move from its initial contact point with the surface is,
[tex]x =\dfrac{-R}{2}[/tex]
Given-
Radius of the ball is [tex]R[/tex].
the mass of the ball is [tex]m[/tex].
The mass of the thin shell is [tex]m[/tex].
The radius of the thin shell is [tex]2 R[/tex].
For the two bodies with mass [tex]m[/tex], the center of mass can be given as,
[tex]x_{cm}=\dfrac{m_{1} x_{1}+m_{2} x_{2} }{m_{1} +m_{2}}[/tex]
In the given question, the mass of both the bodies are equal and the given distance of center of mass for both bodies are also equal. Therefore,
[tex]x_{cm}=\dfrac{m x_+mx }{m +m}[/tex]
[tex]x_{cm}=\dfrac{2mx }{2m}[/tex]
[tex]x_{cm} =x[/tex]
Distance for center of mass can also be given as,
[tex]x_{cm} =m\times o[/tex]
[tex]x_{cm} =m\times \dfrac{-R}{2m}[/tex]
[tex]x_{cm} =\dfrac{-R}{2}[/tex]
Comparing both the values of the distance of center of mass we get,
[tex]x =\dfrac{-R}{2}[/tex]
Hence, The shell move from its initial contact point with the surface is,
[tex]x =\dfrac{-R}{2}[/tex]
For more about the center of mass follow the link below,
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Which of the following situations is an example of kinetic energy being transformed into potential energy? Throwing a ball high into the air Dropping a ball from a ladder Rolling a ball on the ground Holding a ball in the air without moving it
Answer: holding the ball in the air without moving it
Explanation:
When the ball goes up it’s potential energy
Throwing a ball high into the air is an example of kinetic energy being transformed into potential energy.
What is kinetic energy ?"Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy."
What is potential energy ?"Potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors."
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g. Write the merits and demerits of ultraviolet rays.
Answer:
UV rays aid in the production of Vitamin D. But it can also give you cancer.
Explanation:
i am a scientist
Why do you think it is colder during the winter than the summer?
Answer:
As the earth travels around the sun during the year it maintains this tilt. Because of this tilt, in the summer we (north of the equator) are slanted more directly towards the sun so it's hotter. In the winter, we're slanted away so the sun's rays are less direct, making it colder.
An object at rest has no net force acting on it.
True or False
Answer:
True
Explanation:
The object is at rest, which means it's not moving, so there is no net force on it, according to Newton's First Law.
How long will it take an object traveling at 7 m/s to reach a distance of 26 meters
Answer:
3 hours 71 minutes
Explanation:
As because Speed= distance/time taken
so time taken= 3.71
help pls its been a day
Answer:
161.28m
Explanation:
The resultant is calculated using the formula
R² = dx²+dy²
R = √dx²+dy²
From the diagram. dx = 101cos60°+85
dx = 101(0.5) + 65
dx = 50.5 + 85
dx = 135.5m
For the vertical component dy
dy = dsin theta
dy = 101 sin 60
dy = 101(0.8660)
dy = 87.47
R = √135.5²+87.47²
R = √18,360.25+7,651.0009
R = √26,011.2509
R = 161.28m
Hence the magnitude of the sum of the vectors is 161.28m
Answer:
The sum of the two vectors is 161.278 m.
Explanation:
Given;
vector, B = 101 m inclined at angle 60⁰
vector, A = 85 m inclined at angle 0⁰
Y-component of the vectors;
[tex]R_y = 101(sin \ 60^0) + 85(sin \ 0^0) =87.466 \ m[/tex]
X-component of the vectors;
[tex]R_x = 101(cos \ 60^0) + 85(cos \ 0^0)\\\\R_x = 50.5 + 85 = 135.5 \ m[/tex]
Sum of the two vectors;
[tex]R = A+ B\\\\R = \sqrt{R_y^2 + R_x^2} \\\\R = \sqrt{87.466^2 \ + \ 135.5^2} \\\\R = \sqrt{26010.55} \\\\R = 161.278 \ m[/tex]
Therefore, the sum of the two vectors is 161.278 m.
Which is heavier: 30 kilogram or 300 milligrams?
Answer:
30 killograms is 85.9803
and 300 milligrams is 0.000661387 pounds
Explanation:
Using Velocity vs Time Graphs to Find Acceleration
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 4 straight segments. Line segment A runs from 0 seconds 0 meters per second to 1 seconds 15 meters per second. Then segment B runs to 2 seconds 20 meters per second. Then segment C runs to 4 seconds 20 meters per second. Then segment D runs to 5 seconds 0 meters per second.
The acceleration of segment D is m/s2.
Rank segments A, B, and C from least acceleration to greatest acceleration.
Least:
Greatest:
The acceleration at segment D is -20m/s²
The rank of the acceleration from the least to the greatest is -20m/s² < 0m/s² < 5m/s² < 10m/s² (D<C<B<A)
Acceleration is the change in velocity with respect to time.
a = v-u/t
Acceleration at segment A:
Aa = 15-0/1-0
Aa = 15m/s²
Acceleration at segment B:
Ab = 20-15/2-1
Ab = 5m/s²
Acceleration at segment C:
Aa = 0-0/4-2
Aa = 0m/s²
Acceleration at segment D:
Ac = 0-20/5-4
Ac = -20m/s²
Hence the acceleration at segment D is -20m/s²
The rank of the acceleration from the least to the greatest is -20m/s² < 0m/s² < 5m/s² < 10m/s² (D<C<B<A)
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28. A student notices that when a weight is hung on a spring, the spring stretches. She decides to conduct an experiment to determine the relationship between the amount of weight
placed on a spring and the distance the spring stretches. She has five different weights: 25 9,50 9.75 9. 100 9, and 125 g. She selects a weight, hangs it on the spring, and
measures how far the spring stretches
What is the independent variable in this experiment?
length of unst etched spring
distance the spring stretches
weight hung from the spring
O temperature of the spring
Answer:
C). weight hung from the spring
Explanation:
An Independent variable is characterized as the variable that is controlled or manipulated by the experimenter in order to observe its change on the dependent variable.
In the given experiment, 'weight hung from the spring' is the independent variable as it is manipulated by the researcher in order to witness its impact on the dependent variable(how the spring stretches). It is the cause that causes an effect on the dependent variable. Any change in the former directly affects the latter. Thus, option C is the correct answer.
If you could change one property of a substance ( solid, liquid, and gas) you have to use in your daily life, what would it be and why?
Please hurry
I will give you BRAINLIEST!!!!!!
And pleaseee write 5 sentences why??
Answer
Soap into a liquid
Explanation:
An object has a force of 29.43 N acting on it. Its acceleration is 3.5 m/s2. What is the mass of this object?
Answer:
The mass of the object is 8.41 Kg.
Explanation:
Mechanical Force
The second Newton's law states that the net force exerted by an external agent on an object of mass m is:
F = m.a
Where a is the acceleration of the object. The SI unit for the force is the Newton: [tex]1\ Nw = 1~Kg.m/s^2[/tex]
We are given the net force of F=29.43 N acting on an object and producing an acceleration of a=3.5~m/s^2.
To calculate the mass of the object, we solve the above equation for m:
[tex]\displaystyle m=\frac{F}{a}[/tex]
[tex]\displaystyle m=\frac{29.43}{3.5}[/tex]
Calculating:
m = 8.41 Kg
The mass of the object is 8.41 Kg.
A 10 kg object experiences an acceleration of 2 m/s squared. What net force was applied to the object?
F = ma
= 10kg × 2m/s
= 20N
Answer : 20N
Explanation :
F = Force (N)
m = mass (kg)
a = acceleration (m/s)
A train travels with a speed of 115km/hr. How much time does it take to cover a distance of 470km.
It would take approximately 4 hours for the train to cover a distance of 470km.
4 hours 5 minutes 13.04 seconds