The angle the string makes with the vertical is : 34.6°
Given data :
mass of rubber stopper ( m ) = 45 g
Radius ( r ) = 2.9 m
Time to complete one revolution ( T ) = 4.1 secs
Calculate the angle the string makes with the verticalapplying the formula below
Tan ∅ = [tex]\frac{mw^2r}{mg}[/tex] --- ( 1 )
cancel out m from equation ( 1 )
Tan ∅ = [tex]\frac{w^2r}{g}[/tex] ----- ( 2 )
where ; w = [tex]\frac{2\pi }{T}[/tex]
Therefore equation ( 2 ) becomes
Tan ∅ = [tex]\frac{4\pi ^2r}{T^2g}[/tex] --- ( 3 )
where ; r = 2.9 m, T = 4.1 secs , g = 9.8
Insert values into equation ( 3 )
Tan ∅ = 0.69
∅ = Tan ( 0.69 )
= 34.6°
Hence we can conclude that The angle the string makes with the vertical is : 34.6°.
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How to find angular velocity from linear velocity and radius.
Answer:
ω=v/r.
Explanation:
angular velocity= linear velocity/radius
How long does it take for the sun to complete one orbit through the ecliptic?.
Answer:
It takes just a little bit over a year
Explanation:
Because Earth takes one year to orbit the Sun, So the Sun takes one year to make a complete circuit of the ecliptic. The Sun moves a little less than 1° eastward every day therefore it would be about 382 days (says scientist or less than that)
A rock is thrown vertically upwards with initial positive velocity of 30 m/s. What will be the maximum height that the rock will reach and when will it reach it
Vi = 30 m /sec
Vf = 0 ( at max. height)
g = - 9.8 m/ sq. sec. ( -ve sign shows that the motion of the body is in opposite direction to that of gravity)
Height it gains=h = ?
Using 3rd equation of kinematics,
2ah=Vf ˄2 – Vi˄2
implies that
h = Vf ˄2 – Vi˄2 / 2a
h = 0˄2 - (30)˄2 / 2(-9.8) = - 900/ -19.6
h = 45.91 m
So the maximum height the body can gain is approximately equal to 46 m.
Note: in simple approximation if we take g = 10 m/ sq.sec then the max. height the body can attain will be 45 m.
A fisherman sitting on the end of a pier notices that 6 wave crests pass him in 3 seconds. What is the frequency of the waves?.
Answer:
2 Hz
Explanation:
f = frequency
n = wave crest
t = time
f = n/t → f = 6/3 = 2
A photon has 8. 0 × 10–15 J of energy. Planck’s constant is 6. 63 × 10–34 J•s. What is the frequency of the photon? 1. 21 × 1019 Hz 8. 3 × 10–20 Hz 1. 21 × 10–19 Hz 8. 3 × 1020 Hz.
Answer:
E = h f energy of Planck's photon where f is the frequency
f = 8.0E-15 / 6.63E-34 = 1.21E19 / sec
How long will it take Mars to complete one full orbit? Mars is 228 million kilometers
away from the sun. The sun has a mass of 1.99 x 10^30 kg.
r = 2.28 x 10⁸ m
m = 1.99 x 10³⁰ kg
T = 4π²r³/G.m
T = 4π² (2.28 x 10⁸)³/(6.67 x 10⁻¹¹ x 1.99 x 10³⁰)
T = 3.53 x 10⁶ s
Darwin did not call his theory "evolution.” Instead, he called it "descent with
modification.” Why do you think he called it that?
Answer:
Darwin hardly ever used the word "evolution". He chose the phrase "descent with modification". He did not coin the term "survival of the fittest". He did not suggest that evolution was a form of progress.
Darwin defined evolution as 'descent with modifications' because he stated that the idea of evolution led to the formation of new species by genetic modification of the descent species and they shared a common ancestor.
What is meant by evolution ?Evolution is defined as the gradual and cumulative processes by which the traits of biological population and the diversities changed over time.\
Here,
Darwin did not call his theory "evolution". Instead, he called it "descent with modification.”
Darwin's theory stated that, the idea of evolution through which the traits of species changed over time so that new species are formed through genetic modifications from a common ancestor.
He also stated that the living things evolved as a result of the process of evolution can trace their descent to a common ancestor.
Darwin's theory about evolution was the theory of natural selection. He observed the different type of beaks in finches which was modified for a particular type of food. This led to the phenomenon of natural selection, in which the fittest species were selected to survive, according to the theory of descent with modification.
Hence,
Darwin defined evolution as 'descent with modifications' because he stated that the idea of evolution led to the formation of new species by genetic modification of the descent species and they shared a common ancestor.
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Sunlight passes through the windows of a car and causes the car seats to get hot. Which type of energy flow is involved in heating the seats?.
Answer: radiation
Explanation:
What does it cost to charge an electric car at a charging station?.
Answer:
A small car could cost about $11.50 to $23 to fully charge while a bigger or long-distance vehicle could cost between $22.50 to $45.
Explanation:
The magnetic force of a magnet is stronger at its poles than in the middle.
true or false
[tex]\textbf{ {\huge \text{Hello there! :)}}}[/tex]
I'm glad to be helping you today!
[tex]\textbf{\huge \text{ \mathfrak{Answer:} }}[/tex]
The Correct Answer is True
[tex]{\huge \text{ \textbf{Explanation:}}}[/tex]
The magnetic force of a magnet have the same magnitude on the south and north pole, this is the place for the strongest magnetic force because the field lines are closer together. Then, the weaker magnetic force is in the middle where the field lines are further apart.
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[tex]-InLoveWithNature-[/tex]
The cloud of dust and gas where our solar system originated is called:.
Answer:
Solar Nebula
Explanation:
~About 4.6 billion years ago, the sun and planets formed together from a cloud of dust and gas in which was called the solar nebula.~
~The cloud surrounded the sun in a crust and then it broke apart, according to theory.~
Hope this Helps!
A student is running at her top speed of 5. 4m/s to catch a bus.
Answer:
A student is running at her top speed of 5. 4m/s to catch a bus.
Explanation:
Thats to fast
Orbitals that are of equal energy may be referred to as.
Answer:
degenerate
Explanation:
7.01 x 10⁷ in standard form
Answer
70,100,000
Explanation
7.01 x 10^7
The exponent is 7, making it 10 to the power of 7. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 7 time
What conclusions can you make if a hockey goalie fails to block pucks shot in the upper right hand corner of the net
Given what we know, we can confirm that this result from the goalie is a clear indicator of room for improvement in the reaction speed and visual coordination for this area of the net.
How can the goalie improve reaction speeds to this area?The key for situations like this is simply repetition. The more the goalie is able to practice with shots in this area of the net, the more muscle memory they will build regarding reacting to these shots, and therefore less time will be needed to block them in the future.
Therefore, we can confirm that this result from the goalie is a clear indicator of room for improvement in the reaction speed and visual coordination for this area of the net.
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2. A cannonball is dropped from a three-story building.
Which row of the table correctly describes both the speed and the acceleration of the cannonball as it falls?
You can ignore air resistance for this question.
speed acceleration
A Constant Constant
B Increasing. Constant
C Increasing. Increasing
D Constant Increasing
Answer:
B
Explanation:
Speed will increase but the acceleration will be constant
I hope it helps.
Speed will increase and acceleration will be constant.
What is speed?Acceleration is the rate at which speed changes, whereas speed is the distance traveled in a unit of time. The metric system uses meters per second (m/s) as the unit of speed and meters per second squared (m/s2) as the measure of acceleration.
Acceleration is a vector quantity, whereas speed is a scalar quantity. Acceleration is related to both the rate of motion and the direction of motion, whereas speed is tied to the rate of motion alone.
Acceleration and speed are fundamentally separate ideas. Every moving object has a motion that may be quantified in terms of speed. When an item begins to move, its initial speed is zero, and it gradually increases over time owing to acceleration.
Therefore, Speed will increase and acceleration will be constant.
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A ball is moving with a velocity of 0.5m/s. It’s velocity is decreasing at the rate of 0.05m/s. What is its velocity after 5 seconds?
Given,
u = 0.5 m/s
a=0.05 m/s²
and v=0
Now, v = u − at
=> 0 = 0.5−(0.05×t)
=> t = 10 s
after 10s it will stop
velocity after 5s is
v = 0.5-(0.05×5) = 0.25 m/s
Answer:
0.25 meter per second
Explanation:
I hope this helps and study well
Does a wheel barrow have mechanical advantage???
Answer: YES.
Explanation: OK, lets say you have a basket of fruit, it has a large mass, and a large gravity, it takes more force to lift it up. now, if we try to carry it lets say, across the yard, its gonna be pretty heavy! now, when we put it in a wheel barrow, the force goes onto the wheels. it takes less force to move it.
The electrostatic force between two charges is 3. 8 N. If the distance between the two charges is tripled, what is the new electrostatic force acting between the charges?
Answer:
F = K Q1 Q2 / R^2 force between 2 charges separated by R
F2 / F1 = (R1 / R2^2) dividing equations
F2 / F1 = (R1 / 3 R1)^2 = 1/3^2 = 1/9
The force would be reduced by a factor of 9
3.8 / 9 N = .42 N
A car that has a mass of 1000kg accelerates at 20m/s^2. Calculate the force
Answer:
200000 newtons
Explanation:
KE=1/2m*v^2
1/2*1000*20^2
1/2*1000*400
1000*200
200000
i need hellp with thisss plssss????????!!!!
Answer:
The graph appears to be in error.
The actual figure appears to be a rhombus with sides of 5 and 15 with a height of 5
The work done (F * S) is the area of the rhombus
1/2 * (5 +15) * 5 = 50 J
In a classical model of the singly-ionized helium atom, a single electron orbits the nucleus in a circular orbit of radius.
Yes, in a classical model of the singly-ionized helium atom, a single electron orbits the nucleus.
What is singly ionized helium?Singly ionized helium is an atom that has lost one electrons from its outermost shell. We consider its remaining electron like a hydrogen electron. There is only one difference between a hydrogen atom and a singly ionized helium atom which is the number of protons in the nucleus so the nucleus charge on singly ionized helium is -1.
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Two like-charged particles are placed close to each other. How would the force of repulsion be affected if the charge on one of the particles is doubled and that on the other is reduced to half the original value? A) The force would remain the same. B) The force would become half the original value. C) The force would become twice the original value. D) The force would become four times the original value.
The force of repulsion between two charged particles will remain the same
What will be the effect on the force of two charged particles?We know that from Columb's law force between two charged particles will be given by
[tex]F=k \dfrac{q_1q_2}{r^2}[/tex]
Now from the condition
if the charge on one of the particles is doubled and that on the other is reduced to half the original value
[tex]q_1'=2q_1[/tex]
and
[tex]q_2'=\dfrac{q_2}{2}[/tex]
Use the above values in the formula
[tex]F'=k\dfrac{q_1'q_2'}{r^2}[/tex]
[tex]F'=k\dfrac{2q_1 \dfrac{q_2}{2} }{r^2}[/tex]
[tex]F'=k\dfrac{q_1q_2}{r^2}[/tex]
So [tex]F=F'[/tex]
Thus the force of repulsion between two charged particles will remain the same
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Help me please ฅ^•ﻌ•^ฅ
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The Correct choice is 1
Because, in case of liquids the change is in volume, and only volumetric stress and strain is defined for that.
therefore, we use bulk modulus in that case. I hope that's sufficient to explain that phenomenon.
Have a great day !
Explanation:
(4) All the three modulii...
In case liquids in option (4)
Which term best describes how the solar system formed?.
Answer:
Approximately 4.6 billion years ago, the solar system was a cloud of dust and gas known as a solar nebula.
Explanation:
In re imes 2015 What constitutes a wireless transfer of data from a digital camera over a network.
Any person can access the wireless network from any location Within the wireless broadcast and use the digital camera for data transfer.
What is wireless data transfer?The "Wireless network" is a network that is used to communicate with the help of communication signals which are connected to one another.
Likewise, the digital camera is also used to transfer the data images or videos on the network.
This connection is easy to use and its costs are also less in use and maintenance.
The advantage of a wireless network is that anyone can access the internet with the help of cellphones, mobile phones, and laptops without being connected by any wire.
Thus any person can access the wireless network from any location Within the wireless broadcast and use the digital camera for data transfer.
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Famous scientists, who was credited with perfecting the telescope and saying there is another side to the moon?.
Answer:
Galileo di Vincenzo Bonaiuti de' Galilei
help me people( ◜‿◝ )♡
Answer:
4
Explanation:
the temperature at and above which vapor of the substance cannot be liquefied, no matter how much pressure is applied.
If something is 50% efficient, how many joules of wasted energy will there be if 750J of energy is put in?
Answer:
375J of wasted energy
Explanation:
Efficiency=work output/work input×100%
50=w.o/750×100
750×50=100w.o
w.o=750×50/100
w.o=75×5
w.o=375J
Wasted energy=750J-375J
=375J
Aliter
If the machine is 50% efficient then it is also 50% inefficient
50%×750J=375J
ok im just gonna give 50 for this cuz i dont get it. this question is worth a lot so only answer if you really know. thx
Answer:
A is blue
B is yellow
C is red
D is black