Answer:
Length of longer pendulum = 99.3 cm
Length of shorter pendulum = 82.2 cm
Explanation:
Since the longer pendulum undergoes 10 oscillations in 20 s, its period T = 20 s/10 = 2 s.
From T = 2π√(l/g), the length of the pendulum. l = T²g/4π²
substituting T = 2s and g = 9.8 m/s² we have
l = T²g/4π²
= (2 s)² × 9.8 m/s² ÷ 4π²
= 39.2 m ÷ 4π²
= 0.993 m
= 99.3 cm
Now, for the shorter pendulum to be in step with the longer pendulum, it must have completed some oscillations more than the longer pendulum. Let x be the number of oscillations more in t = 20 s. Let n₁ = number of oscillations of longer pendulum and n₂ = number of oscillations of longer pendulum.
So, n₂ = n₁ + x. Also n₁ = t/T₁ and n₂ = t/T₂ where T₂ = period of shorter pendulum.
t/T₂ = t/T₁ + x
1/T₂ = 1/T₁ + x (1)
Also, the T₂ = t/n₂ = t/(n₁ + x) (2)
From (1) T₂ = T₁/(T₁ + x) (3)
equating (2) and (3) we have
t/(n₁ + x) = T₁/(T₁ + x)
substituting t = 20 s and n₁ = 10 and T₁ = 2s, we have
20 s/(10 + x) = 2/(2 + x)
10/(10 + x) = 1/(2 + x)
(10 + x)/10 = (2 + x)
(10 + x) = 10(2 + x)
10 + x = 20 + 10x
collecting like terms
10x - x = 20 - 10
9x = 10
x = 10/9
x = 1.11
x ≅ 1 oscillation
substituting x into (2)
T₂ = t/n₂ = t/(n₁ + x)
= 20/(10 + 1)
= 20/11
= 1.82 s
Since length l = T²g/4π²
substituting T = 1.82 s and g = 9.8 m/s² we have
l = T²g/4π²
= (1.82 s)² × 9.8 m/s² ÷ 4π²
= 32.46 m ÷ 4π²
= 0.822 m
= 82.2 cm
A 20 cm
B 15 cm
C 10 cm
D 5 cm
E 0 cm
If potential energy at point A is 12 joules, what is the potential energy at B?
Answer:
[tex]Ebp=9J[/tex]
Explanation:
Potential energy:
[tex]Ep=mgh[/tex]
m - mass
h - altitude = 20cm = 0.2 m
[tex]Epa=12=0.2(mg)[/tex]
Thus:
[tex]mg=\frac{12}{0.2}[/tex]
[tex]mg=60n[/tex]
In Point B:
[tex]Epb=mg(0.15)[/tex]
[tex]Epb=60(0.15)[/tex]
[tex]Epb=9J[/tex]
Estimate the magnitude of the magnetic field at ground level generated by an overhead AC power line service drop connecting a single home to a utility pole.
Answer:
Explanation:
Magnetic field due to current carrying wire at a distance r from the wire is
[tex]B=\frac{\mu_0I}{2r}---(1)[/tex]
In our case
[tex]I=\frac{I_0}{2}[/tex]
where,
I₀ = max current or peak current
and r = h (where h is the height of power line)
[tex]\therefore B=\frac{\mu (I_0/2)}{2h} \\\\=\frac{\mu_0 I_0}{4h} ----(2)[/tex]
put
h ≈ 370m
I₀ ≈ 3KA
[tex]B= \frac{(1.26*10^-^6)(3*10^3)}{4*(370)} \\\\=2.5*10^-^6 T[/tex]
If we have a velocity of 20 m/s and our acceleration is -5 m/s, then after 2 seconds our velocity will be....
a) 15 m/s
b) 40 m
c) 10 m/s
d) -10 m/s
Answer:
v = 10 m/s
Explanation:
We have,
Our initial velocity is 20 m/s
Our acceleration, [tex]a=-5\ m/s^2[/tex]
It is required to find the velocity after 2 seconds. It is a concept based on equation of kinematics. Using first equation:
[tex]v=u+at[/tex]
Plugging all the known values
[tex]v=20+(-5)(2)\\\\v=10\ m/s[/tex]
So, our final velocity is 10 m/s.
Part B
Does the size of the particles change as the substance changes state?
Answer:
No. The size of the particles in the substance remains the same when the state of matter changes.
Explanation:
this is the exact answer
what is the frequency of an ocean wave that is traveling at a speed of 45 m/s if it has a wavelength of 3 meters.
please show work
Answer:
Frequency, f = 15 Hz
Explanation:
We have,
Speed of an ocean wave is 45 m/s
Wavelength of a wave is 3 m
It is required to find the frequency of an ocean wave.
Speed of a wave, [tex]v=f\lambda[/tex], f = frequency of ocean wave
[tex]f=\dfrac{v}{\lambda}\\\\f=\dfrac{45}{3}\\\\f=15\ Hz[/tex]
So, the frequency of an ocean wave is 15 Hz.
You can smell an open bottle of perfume in a room because __________.
A. the liquid vaporizes and the resulting gas molecules wander about the room
B. the scent travels without needing a medium to travel through
C. the air molecules bond with some of the perfume, carrying it around the room
D. the perfume in the bottle is under pressure
Answer:
The answer is C
Explanation:
I've just answered this question on a quiz
A soccer player kicks a ball with initial velocity of 10m/s at an angle of 30 degrees above the horizontal.....what is the magnitude of the vector
Answer: 10m/s^2
Explanation:
Given the following :
Initial Velocity(U) = 10m/s
Angle of inclination = 30°
In other to calculate the magnitude of the vector,
We need to resolve into verti AL and horizontal component.
Vertical component of a vector(Uy) = U × Sinθ
Horizontal component(Ux) = U × Cosθ
Uy = 10 × sin30 = 10 × 0.5 = 5m/s
Ux = 10 × Cos30 = 10 × 0.866 = 8.66m/s
Therefore the magnitude equals :
U = √(Uy)^2 + (Ux)^2
U = √5^2 + 8.66^2
U = √25 + 74.9956
U = √99.9956
U = 9.9997799
U = 10m/s^2
7. Convert 746 days to centuries.
Answer: 0.0208 Centuries
Explanation:
There is 2.739*10^-5 centuries per 1 day.
We can take 746 days and multiply it by that 2.7 number to get how many centuries are in 746 days.
[tex]746 *(2.793*10^{-5})[/tex] = 0.0208 centuries
an aircraft acceleration from 100m/s to 300m/s in 100 s what is acceleration
Answer:
[tex](300 - 100) \div 100 [/tex]
which scientist and atomic model are correctly matched
Answer:
Rutherford and atomic model are correctly matched.
Answer:
Schrödinger - electron cloud surrounds nucleus. Hope this helps.Explanation:
On what principle does a bottle opener work
Answer:
Bottle opener works on a fulcrum.
Explanation:
A bottle opener is a second-class lever because the pivot point is at one end of the opener and the load is in the middle.
Each color that we see corresponds to a different _____ of light.
a. speed
b. phase
c. amplitude
d. wavelength
Answer:
D wavelength
Explanation:
The different wavelengths determine the color.
how much would you weigh on an imaginary planet that has no gravitational force?
0kg
If the gravitational pull is zero and I multiply by mass I get a zero
Read the scenario below and answer the question that follows. Susan was in her algebra class preparing to take a test. Her instructor, Mrs. Williams, tells Susan, “Try hard, even though math can be difficult for women to succeed in.” What is the most likely effect of Mrs. Williams’ comment on Susan’s test performance, and why? A. improved performance due to study behavior B. improved performance due to mores C. reduced performance due to stereotype threat D. reduced performance due to cultural shaping
Answer:
c. reduced preformance due to stereotype threat
Explanation:
The most likely effect of Mrs. Williams' comment on Susan's test performance was that the reduced performance due to stereotype threat. Thus, the correct option is C.
What is Stereotype threat?Stereotype threat is a situational predicament in which the people feel themselves to be at risk or are actually at risk of conforming to the stereotypes about their social group in the community. It is theorized to be a contributing factor to the long-standing racial and gender gaps in the academic performance of a community as a whole.
The worst part of stereotype threat would be that it becomes socially acceptable for the people to agree and think that it is true of that segment of the society. This has been the tool of tyrants and tyrannical regimes to divide and conquer since the down of empires.
Therefore, the correct option is C.
Learn more about Stereotype threat here:
https://brainly.com/question/6876549
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A potential difference of 10.0 volts exists between two points, A and B, within an electric field. What is the
magnitude of charge that requires 2.0 x 10-2 joule of work to move it from A to B?
1. 5.0 x 10^2 C
2. 2.0 x 10^-1 C
3. 5.0 x 10^-2 C
4. 2.0 x 10^-3 C
Answer:
answer is 4
Explanation:
The charge that is moved is required.
The magnitude of charge moved is option 4. [tex]2\times 10^{-3}\ \text{C}[/tex]
Potential differenceV = Potential difference = 10.0 V
W = Work done = [tex]2\times10^{-2}\ \text{J}[/tex]
q = Magnitude of charge
When work done on moving a charge is divided by the potential difference we get the magnitude of the charge that is moved.
The charge of an object is the result of an excess or a lack of positive or negative charges on a body.
So, the magnitude of charge is given by
[tex]q=\dfrac{W}{V}\\\Rightarrow q=\dfrac{2\times 10^{-2}}{10}\\\Rightarrow q=2\times 10^{-3}\ \text{C}[/tex]
Learn more about potential difference:
https://brainly.com/question/469388
how can a duck cross a road?
Answer:
Using its legs
Explanation:
Over an estimated billion years mammals and other species have developed this "revolutionary engine" lol. Legs allow for faster, more efficient and overall better transportation means, its not reliant on any other source just on power which comes from foods which is broken down in the Silvia, soon to become the stomach. If you want to dig deeper into this topic search of video's on how the mitochondria is the factory, or the powerhouse of the cell, also I recommend Kurzgesagt on how the food is processed and turn into energy, and how that energy can support life.
Answer:
With his or her legs.
Explanation:
The he-duck or she-duck may cross a road in a number of ways, however the most common is to simply walk. Ducks often walk across roads to mock comedian chickens in satire. They put one webbed foot in front of the other, and shake their butts, or, scientifically, duckicus butticus. [DUC-I-CUS BUT-I-CUS]
An amazing phenomenon.
Which is NOT true about Balanced Forces?
Has a net force equal to zero.
Do not cause a change in motion.
o Act in the same direction.
Are equal in size.
Answer:
are in equal size or act in same direction
Balanced forces are the forces which are equal in size. Balanced force has a net force which is equal to zero, and these do not cause a change in motion. Thus, the correct option is C.
What are balanced forces?Balanced forces are those which are opposite in direction and equal in the size. Balanced forces are considered to be in the state of equilibrium. When the forces are balanced and there is no change in direction. Combined forces which are balanced are always equal to zero. These forces are equal and hence do not cause any change in the motion of an object.
Examples of balanced forces include resting against a wall, lying down, aircraft in a steady-flight, floating in water, and standing in the ground.
Therefore, the correct option is C.
Learn more about Balanced forces here:
https://brainly.com/question/29769471
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Read the scenario.
A car starts 10 m north of a reference point. It moves at a constant velocity over the next 5 s, reaching a position of 10 m south of the reference point.
What is the car’s average velocity?
2 m/s south
0 m/s
4 m/s south
4 m/s north
Answer:
v_avg = 4 m/s
Explanation:
The average velocity of the car is given by the distance traveled by the car, in a specific time.
The total distance is 20m, because the car moved to the reference point (10m), and then moves to 10m to the south. THe total distance is 20m.
Then, you use the following formula:
[tex]v_{avg}=\frac{x_t}{t}[/tex]
x_t: total distance traveled by the car = 20m
t: time in which the car made the trajectory = 5s
You replace the values of x_t and t:
[tex]v_{avg}=\frac{20m}{5s}=4\frac{m}{s}[/tex]
hence, the average velocity is 4m/s
A 10 kg rock is suspended 320 m above the ground.
What is its kinetic energy before it is released?
K.E. =
Answer:
it is a mass of an object that increases to a kinetic energy.
Explanation:
Answer:
[tex]k=0J[/tex]
Explanation:
Kinetic Energy formula:
[tex]K=\frac{1}{2} (m)(v^2)[/tex]
The rocks suspended 320 m above ground. The rock is not in motion. The speed of the rock is zero.
Using the formula:
[tex]K=\frac{1}{2} (m)(0^2)[/tex]
[tex]K=0J[/tex]
If a girl is running along straight road with a uniform velocity 1.5 m/s .Find the acceleration
Answer:
Acceleration = 0
Explanation:
Uniform Velocity = 1.5m/s
Acceleration is defined as the change in Velocity of a moving object with time.
Acceleration = (V2 - V1) / t
Where v2 and V1 are velocities and t is time
A body is said to be moving at a uniform Velocity if the Velocity with which it moves is constant. That is there is no change in the Velocity as the body progresses
Mathematically ;
(V2 - V1) = 0 [uniform / constant Velocity]
acceleration = 0 / time
Acceleration = 0
A projectile is fried from the origin (at y=0 m) as shown in the diagram. The initial velocity components are Vox=310 m/s and Voy=26 m/s. The projectile reaches maximum height at point p, then it falls and strikes the ground at point q, which is 20 m below the launch point. For how long is the projectile in the air?
3.4 s
6.0 s
6.8 s
4.5 s
9.3 s
Answer:
3.4 s is the correct answer to the given question .
Explanation:
As Given in the question
Vox=310 m/s
Voy=26 m/s.
As we know that
[tex]v_{y} ^{2}= v_{ay} ^{2}\ +2gh[/tex]--------------eq(1)
As the velocity at the maximum height =0
Putting the value of [tex]v_{y} ^{2} \ = \ 0[/tex] in the equation(1) we get
[tex]v_{ay} ^{2}\ +\ 2gh\ = 0\\ h=\frac{ -v_{ay} ^{2}}{2g}[/tex]
Putting the value [tex]v_{ay} ^{2}\[/tex] in the previous equation we get
[tex]\frac{\ (-26 m/s\ )^{2} }{\ (2*\ -9.8\ )}\\ =\frac{676}{19.6}\\ =34.4\ m/s\\=3.4 s[/tex]
Therefore h=3.4 s
The pressure of a gas contained in a cylinder with a movable piston is 300 Pa. The area of the piston is 0.5 m² . Calculate the force that is exerted on the piston.
Answer:
150N
Explanation:
formula= pressure= force/area
300pa= x/0.5
300*0.5= x
150N= x
force= 150N
. Alpha-emitting substances, such as radon gas, can be a serious health hazard only if _____. their radiation strikes the skin they are inhaled or eaten exposure to them is external
Answer:Answer:
They are inhaled or eaten
Explanation:
Radioactivity can be defined as the process in which an unstable atomic nucleus spontaneously emits ionizing radiation and charge particles. This eventually results in the formation of an energetically stable atomic nucleus.
Examples of radioactive elements are Uranium, Polonium, Thorium, Radon, etc. The radiation emitted during this process is classified as;
1. Alpha radiation (α).
2. Beta radiation (β).
3. Gamma radiation (G).
Alpha-emitting substances, such as radon gas, can be a serious health hazard only if they are inhaled or eaten. Alpha-emitting substances compared to other radiation has very short-range particle and as such cannot penetrate the human skin or body.
the speed of the car changes from 12 metre per square to 24 metre per square in 1 minute the magnitude of acceleration of the car is a)Zero B )0.25 metre square c)1÷13 m/s^2 d.)
1÷5m/s^2
The answer is D (1/5)m/s^2
How does gravity keep the moon in orbit around earth
Answer:
The moon's orbit draws the oceans to it, which triggers ocean tides. Force produces stars and planets by gathering the mass from which it exists.
Explanation:
The moon's orbit draws the oceans to it, which triggers ocean tides. Force produces stars and planets by gathering the mass from which it exists.
Answer is above
Hope this helps.
Please help!!!! How many volts does this source provide for the circuit?
2
4
8
12
Answer:
12 volts
Explanation:
4 + 4 + 4 = 12 volts all volts on parallel circuit are the same
A quarterback back pedals 2.5 meters northward and then
runs 6.8 meters southward.
Answer:
The travels is 9.3 and displacement of 4.3 meters
Explanation:
The computation of distance and displacement is shown below:-
Distance = Northward meters + Southward meters
= 2.5 meters + 6.8 meters
= 9.3 meters
Displacement= Final - Initial distance
= 6.8 meters - 2.5 meters
= 4.3 meters
Direction→southward
Here direction is going towards the southwards as southwards distance in higher than the northward distance of displacement is southward.
Which waves help you to know if there is a snow day at school for the day?
Answer:
Electromagnetic wave
Explanation:
Snow days are announced on the by phoning the parents and guardians and also the news about a snow day can be broadcast on the television or radio airwaves or on the internet which are forms of electromagnetic wave transmission
An electromagnetic wave are oscillations of electric and magnetic fields which form electric and magnetic field vibrations
The direction of the oscillating electric and magnetic fields is perpendicular to the direction of propagation of the electromagnetic wave.
at what location in the refrigerator is the most thermal energy removed?
Answer:
Condenser
Explanation:
The refrigerator work on a simple cycle:
1- When the cold air inside the refrigerator starts to get warm, it loses its thermal energy ot the cold refrigerant which is flowing inside an evaporator. This thermal energy converts the refrigerant into a gas.
2- The refrigerant, in a form of gas, goes to the compressor. The compressor compresses it and increases its temperature even more.
3- Then it goes to the condenser where it loses its most of the thermal energy to the condenser coils. When it loses the energy. it comes back to liquid form.
4.The refrigerant flow back to the evaporator
Cycle continuous
Which of the following is not sublimable? *
Answer:
where is your option ?
you can't write option so I think
sodium chloride is not sublimable