The angular velocity of the ring when the bug is halfway around and the angular velocity of the ring when the bug is back at the pivot is [m₂v / {(2m₁ +m₂)R}].
What is angular velocity?The velocity of a particle when moving in the circular path.
Let speed of the bug with respect to ground is u.
Speed of bag with respect to ring will be
v = u - (- Rω) =
Then, u = v- Rω...............(1)
Angular momentum of ring and bug will remain conserved.
Initial momentum: L ring + Lbug =0
Final momentum: -2m₁ R²ω + m₂uR =0...............(2)
Using equation (1) and (2), the angular velocity expression will be
ω =[m₂v / {(2m₁ +m₂)R}] in positive z direction
Thus, the angular velocity of the ring when the bug is halfway around and the angular velocity of the ring when the bug is back at the pivot is [m₂v / {(2m₁ +m₂)R}].
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Which one of the following types of electromagnetic wave travels through space the fastest?
Answer:
As a result, light travels fastest in empty space, and travels slowest in solids. In glass, for example, light travels about 197,000 km/s.
Explanation:
vibrating part of giutar
Answer:
The Vibrating parts of a Guitar is it's Strings
Explanation:
Guitars are classified in 2 sections: the neck and the body. Strings run through the neck and body of the guitar. When a string is played its vibration is transmitted from the bridge, resonating throughout the top of the guitar.
Answer:
the strings are the part that vibrates
What is the FUNCTION of cilliated
epithelium (the cilia) in the lining of the
trachea and bronchi?
Explanation:
In the trachea's inner layer, you have small, hair-like structures called cilia. Cilia move in rhythm to push mucus out of your trachea so that you either expel or swallow it
What is the relationship between the quantity of matter and mass?
Explanation:
The substance with less quantity of matter has less mass and that with more quantity has more mass..
[tex]...[/tex]
Calculate the final velocity of m1=2kg with its velocity at 5m/s
The final velocity of m₁=2kg with its velocity at 5m/s will be 4 m/s.
What is the law of conservation of momentum?According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
(m₁) is the mass = 2 kg
initial velocity (u₁) =5m/s
(m₂) is the mass = 0.5
(u₂) initial velocity = 0 m/s
(v) is the velocity =.?
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2) \\\\ 2(5) + 0.5(0) = v(2 + 0.5)\\\\10 = 2.5v\\\\ v = \frac{10}{2.5} \\\\ v = 4 \ m/s[/tex]
Hence,The final velocity of m₁=2kg with its velocity at 5m/s will be 4 m/s.
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in the R-L-C series circuit shown, suppose R = 200 Ω, L = 70 mH, C = 2.0 μF, Vmax = 80V and the angular frequency of the voltage source ω = 2,000 rad/s. (a) Find the reactances and , and the impedance . (3 marks) (b) Find the maximum current amplitude, Imax and the maximum voltage amplitude across each circuit element. (4 marks). (c) Explain why the maximum voltage across each element add up to more than 80 V. (3 marks)
Hello!
A)
We can solve for the reactances of each element using the following equations.
Capacitive reactance:
[tex]X_C = \frac{1}{\omega C}[/tex]
[tex]X_C[/tex] = Capacitive reactance (Ω)
ω = Angular frequency (2000 rad/sec)
C = Capacitance (2 μF)
Plug in the given values and solve.
[tex]X_C = \frac{1}{(2000)(0.000002)} = \boxed{250 \Omega}[/tex]
Inductive reactance:
[tex]X_L = \omega L[/tex]
[tex]X_L[/tex] = Inductive reactance (Ω)
L = Inductance (70 mH)
Solve:
[tex]X_L = 2000 * 0.07 = \boxed{140 \Omega}[/tex]
We can solve for impedance using the following equation:
[tex]Z = \sqrt{R^2 + (X_L - X_C)^2}[/tex]
Z = Impedance (Ω)
R = Resistance (200Ω)
Find the impedance using the values above and the given resistance:
[tex]Z = \sqrt{200^2 + (140 - 250)^2} = \boxed{228.254 \Omega}[/tex]
B)
The maximum current amplitude is found using Ohm's law:
[tex]I_{Max} = \frac{V_{Max}}{Z}[/tex]
[tex]V_{Max}[/tex] = 80V
Z = 228.254 Ω
Solve.
[tex]I_{Max} = \frac{80}{228.254} = \boxed{0.3505 A}[/tex]
To find the max voltages across each element, we can also use Ohm's Law.
For the resistor:
[tex]V_{R, max} = i_{Max} R\\\\V_{R, max} = (0.3505)(200) = \boxed{70.097 V}[/tex]
For the capacitor:
[tex]V_{C, max} = i_{Max}X_C\\\\V_{C, max} = (0.3505)(250) = \boxed{87.622 V}[/tex]
For the inductor:
[tex]V_{L, max} = i_{Max}X_L\\\\V_{L, max} = (0.3505)(140) = \boxed{49.068 V}[/tex]
C)
The maximum voltage across each element is greater than 80 V because of the transfer of energy between the capacitor and inductor that occur at different times (energy is stored and released) and being in addition to the voltage of the power source.
Three resistances of 12 , 16 , and 20 are connected in parallel. What resistance must be connected in series with this combinations to give a total resistance of 25 ?
Answer:
Total resistance in parallel is Rp
So (1/Rp) = (1/12)+(1/16)+(1/20)
Rp = ?
impedance is 25
25 = Rp + Rs
put the value of Rp you'll get the answer.
what property of iron can you use to separate nails from a mixture of glass wood and gravel??
Answer:
The magnetic separation
Explanation:
It is a process in which magnetically susceptible material is extracted from a mixture using magnetic force. This is best way to separate the mixture of sand and iron fillings as iron is attracted by magnet.
form a hypothesis to explain the shape of this graph
Answer:
the data change decreased and then increased. this went on repeatly but the decrease became less as the increase became more.
Which of these orders has the structure of the universe from the smallest to largest?
1. solar systems - galaxies - clusters - superclusters
2. superclusters - clusters - solar systems - galaxies
3. clusters - superclusters - solar systems - galaxies
Answer:
From largest to smallest they are: Universe, galaxy, solar system, star, planet, moon and asteroid.
Explanation:
3. An assassin who climbed to the top of the catwalk balcony of a mansion, to get a
good view of his target who was 6.1 ft tall. The assassin pulled the trigger when
the target is 294 ft away, discharging the bullet at a 63° angle to the level of the
victim's head. Find the height that the assassin shot the target from.
The height of the mansion that the assassin shot the target from is determined as 1,164.9 ft.
Time of motion of the bullet
The time of motion of the bullet is calculated as follows;
-h = vsinθ(t) - ¹/₂gt²
-6.1 = (vt) sin63 - ¹/₂(32)t²
-6.1 = 0.89vt - 16t² ---(1)
From horizontal motionX = vcosθ t
294 = (vt)cos63
294 = 0.454vt
vt = 294/0.454
vt = 647.577 ---(2)
solve (1) and (2) together;
-6.1 = 0.89(647.577) - 16t²
16t² = 576.344 + 6.1
16t² = 582.44
t² = 582.44/16
t² = 36.4
t = √36.4
t = 6.03 s
Initial velocityv = 647.577/t
v = 647.577/6.03
v = 107.4 ft/s
Height of the mansionh = vt + ¹/₂gt²
h = (107.4 x sin63 x 6.03) + ¹/₂(32)(6.03)²
h = 1,158.8 ft
H = 1,158.8 ft + 6.1 ft = 1,164.9 ft
Thus, the height of the mansion that the assassin shot the target from is determined as 1,164.9 ft.
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Gamma rays can cause cancer, but they can also be used to treat cancer. How
would you answer a sixth grader who asks you, "Is radiation good or bad?"
Answer:
I think it depends on the purpose of using Gamma rays. It can be both good and bad
To measure the vast distance in space ,scientists use a unit called a ______, which is how far travels in one year.
The closest star to Earth is ______.
(Look at the picture)
Answer:
"light year" - about 6 million million miles
The nearest star is alpha Centauri - about 24 million million miles away
20. Which of the following situations is reaction time exhibited?
A. Jenny and Tina plays jumping rope
B. Ben and Ted plays soccer and football C. Cina and Horia attend swimming sessions
D. Bovet and Cris perform acrobic exercises
Jenny and Tina play jumping rope,Ben and Ted plays soccer and football and Bovet and Cris perform aerobic exercises are the following situations is reaction time exhibited. Option A,B and D are correct.
What is reaction time?The reaction time of an organism is a measurement of how quickly it responds to a stimulus.
The time interval between the presentation of the stimulus and the manifestation of a suitable voluntary response in the subject is defined as RT.
In the following situations is reaction time exhibited is;
A. Jenny and Tina play jumping rope.
B. Ben and Ted play soccer and football .
D. Bovet and Cris perform aerobic exercises.
Hence,option A,B and D are correct.
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Two spherical objects have masses of 7.5 x 10 kg and 9.2 x 10'kg. Their centers are
separated by a distance of 2.5 x 103 m. What is the magnitude of the gravitational force
between them?
Answer: 7.364 x 10^-4 N
Explanation:
[tex]$$Given:$$\begin{aligned}m_{1} &=7.5 \times 10^{5} \mathrm{~kg} \\m_{2} &=9.2 \times 10^{7} \mathrm{~kg} \\r &=2.5 \times 10^{3} \mathrm{~m}\end{aligned}$$Here, $m_{1}, m_{2}$, and $r$ are the first mass, the second mass, and the distance[/tex]
[tex]$$The gravitational force exerted between the masses is determined as follows.$$F=G \frac{m_{1} m_{2}}{r^{2}}$$Here, $G$ is the gravitational constant.Substitute the known values.$$\begin{aligned}F &=\left(6.67 \times 0^{-11} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}\right) \frac{\left(7.5 \times 10^{5} \mathrm{~kg}\right)\left(2.5 \times 10^{7} \mathrm{~kg}\right)}{\left(2.5 \times 10^{3} \mathrm{~m}\right)^{2}} \\&\bold{=7.364 \times 10^{-4} \bold{\mathrm{~N}}}\end{aligned}$$[/tex]
Nitrogen oxides in car exhaust react with sunlight to produce
On a frictionless horizontal air table, puck A (with mass 0.251 kg ) is moving toward puck B (with mass 0.371 kg ), which is initially at rest. After the collision, puck A has velocity 0.120 m/s to the left, and puck B has velocity 0.654 m/s to the right.
What was the speed vAi of puck A before the collision?
Calculate ΔK , the change in the total kinetic energy of the system that occurs during the collision.
(a) The speed of puck A before the collision is determined as 0.847 m/s.
(b) The change in the total kinetic energy of the system that occurs during the collision is 0.009 J.
Speed of puck A before the collisionThe speed of puck A before the collision is calculated from the principle of conservation of linear momentum as follows;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
0.251u₁ + 0.371(0) = 0.251( -0.12) + 0.371(0.654)
0.251u₁ = 0.2125
u₁ = 0.2125/0.251
u₁ = 0.847 m/s to the right
Change in the total kinetic energy of the systemInitial kinetic energy = ¹/₂ x 0.251 x (0.847)² + ¹/₂ x 0.371 x (0) = 0.09 J
Final kinetic energy = ¹/₂ x 0.251 x (-0.12)² + ¹/₂ x 0.371 x (0.654)² = 0.081 J
ΔK.E = 0.081 - 0.09 = 0.009 J ≈ 0 J
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a 100 kg person travels from sea level to an altitude of 5000 m. By how mans newtons does their weight change?
Answer:
Thus, the change in the weight of the person is 1.6N , option c is correct.
Explanation:
Which phenomenon provides evidence that the hydrogen atom has discrete energy levels?
The phenomenon known as the Emission Spectra.
Emission spectrum is the phenomenon provides evidence that the hydrogen atom has discrete energy levels.
What is emission spectrum?Emission spectrum is the spectrum of the different energy levels. The occurrence of emission spectrum gives proof that the hydrogen atom has distinct energy levels.
Emission spectrum is the phenomenon provides evidence that the hydrogen atom has discrete energy levels
Hence, the phenomenon is known as emission spectrum.
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5. A person on a trampoline jumps straight up. When the person is 3 m above the surface and
with upward velocity of 2.5 m/s, drops a ball. a) What is the speed of the ball at the time of
impact? b) How long before the ball impacts the surface of trampoline?
a)The speed of the ball at the time of impact will be 8.1 m/sec.
b)The time taken by the ball impacts the surface of trampoline will be 1.1 second.
What is speed?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. Its SI unit is m/sec.
Given data;
g( gravitational acceleration) = 9.81 m/s2
u (initial velocity of ball) = 2.5 m/s
h₁(initial height of the ball) = 3.0 m
v (speed of the ball at the time of impact ) ?
The time taken by ball for upward journey = u / g
t₁ = u / g
t₁ = (2.5 m/s) / (9.81 m/s2) =
t₁ =0.2548 s
From second equation of motion,upward vertical distance covered by ball is;
[tex]\rm h_2= \frac{1}{2} gt^2\\\\ h_2=\frac{1}{2} \times 9.81 \times (0.2548)^2\\\\ h_2=0.3184[/tex]
The total distance in the downward direction travelled;
[tex]\rm h_3=h_1+h_2 \\\\ h_3=3.0+0.3184 \\\\ h_3=3.3184 \ m[/tex]
The time taken for the downward motion is;
[tex]\rm t_2 = (\frac{2 \times h_3 }{g} )^\frac{1}{2}\\\\ t_2 = 0.825 \ m/sec[/tex]
The speed of the ball at the time of impact is found as;
[tex]\rm V=gt_2 \\\\ V= 9.81 \times 0.8225 \\\\ V= 8.07 \ m/sec[/tex]
The total time of the flight of ball is;
[tex]\rm t_3 = t_1+t_2 \\\\ t_3=0.2548+0.8225 \\\\ t_3=1.0774 \ sec[/tex]
Hence,the speed of the ball at the time of impact will be 8.1 m/sec and time taken by the ball impacts the surface of trampoline will be 1.1 second.
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derive the electric field intensity at an equitorial point !
[tex] \\ [/tex]
ty! (:
Answer:
Hence, electric field intensity at equatorial point is given by, $\therefore {E_p} = - \dfrac{1}{{4\pi {\varepsilon _0}}}\dfrac{{\vec P}}{{{d^3}}}$. And the direction of the electric field is always opposite to that of the electric dipole.
Do lighting filters use additive or subtractive properties to bring light of a certain color to our eyes?
Answer:
Different colour lights (RBG) uses additive properties to bring light of a certain color to our eyes.
Explanation:
:))
5. How do you determine the strength of the electric field of a charge?
A. Putting a small test charge close to the electric field.
B. Using a voltmeter.
C. Using an ammeter.
D. Putting a large test charge close to the electric field.
what is one example of a mineral that is found in space?
Answer:
Iron meteorites
Explanation:
Answer:
iron, nickel, iridium, palladium, platinum, gold, and magnesium
You can choose any one which you like.
Explanation:
All minerals that we humans found are found in space.
And minerals unknown are also found.
A sprinter starting to run from rest, reaches a speed of 8m/s in 2 second, what is the average power needed to accelerate like this ?
Answer:
okay
Explanation:
power is rate of doing work
power is workdone over time taken
but you don't have information concerning the force
Power = work/time
Work = force x distance
Force = mass x acceleration
So Power = (mass x acceleration x distance) / (time)
acceleration = 8m/s / 2sec = 4 m/s²
distance = (avg speed) x (time) = 8 m
time = 2 sec
we don't know the runner's mass
Power = (mass) x (4 m/s²) x (8 m) / (2 sec)
Power = (16 x mass in kg) watts
=============================================
Slightly easier way to do it:
Power = (runner's kinetic energy at the end) / (time)
Power = (1/2 m v²) / (time)
Power = (1/2 mass) (64 m²/s²) / (2 sec)
Power = (16 x runner's mass in kg) watts
Group the labels according to the type of force they describe
Contact, no contact or both
We can confirm that a contact force would be one in which physical contact is needed, while a no contact force does not require contact.
What are some examples of these forces?There are many everyday examples to be used to describe each of these forces. A very common no contact force is gravity. The Earth's gravity exerts a force on all things near the planet, but it does not need to be in physical contact to exert this force, thus making gravity a no contact force. An example of a contact force would be if you were to push another person. You are exerting a force that requires physical contact.
Therefore, we can confirm that a contact force would be one in which physical contact is needed, while a no contact force does not require contact.
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What is the voltage of this circuit.
¿Cuál es el voltaje de este circuito?
W
R1
20
W
N
+
1 +
100
W
w
15 0
(1=7A
=
w
R5
Repost!!!!! Need help
Answer:
110.4 v
Explanation:
Find the equivalent resistance of the two parallel circuits
R1 and R2 in parallel = R1 * R2 / (R1+ R2) = 1 ohm
similarly R4 and R5 = 4.77 ohms
Now you can add the three resistances into one (R3=10)
1 ohm + 10 ohm + 4.77 ohm = 15.77 ohms
Now
V = IR
V = 7 amps * 15.77 ohm = 110.4 v
How does wind help you to know gases are matter
What is the potential difference across the source?
60 V
220 V
440 V
120 V
Answer:
120 v
Explanation:
The two resistors have an equivalent of 20 * 30 /(20+30) = 12 ohms
10 amps of current in the circuit
v = ir
= 10 * 12 = 120 volts
Here is another way:
The two resistors are in prallel so the voltae across both is the same
use the one on the right v = ir = 4 x 30 = 120 v
9
Robin chases a squirrel moving 6 meters from the porch to a tree in 1.2 seconds. Wha
was his rate of movement?
Answer:
5 m/s
Explanation:
Rate of movement is distance / time
6 m / 1.2 s = 5 m/s