6.21 cm
use the pendulum formula : [tex]\sf \bold{\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}}}}[/tex]where
T is time or periodπ is pie = 22/7L is pendulum lengthg is acceleration due to gravityGiven:
T = 0.500 sg = 9.8 m/s²solving step-wise:
[tex]\dashrightarrow \mathrm{T}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{g}}}[/tex]
[tex]\sf \dashrightarrow \mathrm{0.5}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}[/tex]
[tex]\dashrightarrow \mathrm{\dfrac{0.5}{2 \pi } }=\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}[/tex]
[tex]\dashrightarrow\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= \mathrm{\dfrac{0.5}{2 \pi } }[/tex]
[tex]\sf \dashrightarrow{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2*9.8[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}=0.06205922 \ m[/tex]
1 m → 100 cm[tex]\sf \dashrightarrow{{\mathrm{L}}=6.2059\ cm[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}=6.21\ cm[/tex] { rounded to nearest hundredth }
Let's see
[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
[tex]\\ \rm\rightarrowtail 0.5=2\pi \sqrt{\dfrac{l}{9.8}}[/tex]
[tex]\\ \rm\rightarrowtail 0.783=\pi \sqrt{l}[/tex]
[tex]\\ \rm\rightarrowtail 0.2494=\sqrt{l}[/tex]
[tex]\\ \rm\rightarrowtail \ell=0.0622m[/tex]
What is the average angular speed of the grindstone 10 rad/s
Answer:
avg w= (delta theta)/delta T = (10 rad/s - 8 rad/s) / (4 s-0) = .5 rad/s Vt= r * avg w = 4m * .5 rad/s = 2 rad/s
At a construction site, a crane lifts an object to a certain height in 12 seconds, and a second crane does the same work in 6 seconds. Compared to the power developed by the first crane, the power developed by the second crane is which of the following?
A. The same
B. One-half as much
C. Twice as much
D. Four times as much
option C
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When charging objects by induction which of the following must be true
A. A path to ground is not needed when using a positive source
B. The objects being charged must be conductors
C. The objects takes on the same charge as it's source
D. The source loses some of its charge
Answer:
C
Explanation:
because that's how science works
Which is NOT a characteristic of
the temperate region?
A. a lot of organic matter
B. moderate temperatures
C. moderate rainfall
D. under-developed soil horizons
Answer:
under developed soil horizons
Thermal energy is transferred between objects when they have?
A. the same mass
B. different temperatures
C. the same kinetic energy
Answer:
B. different temperatures
Explanation:
Thats how they transfer energy because if one object is hotter then the other, the heat can still be transfer to the other object and make their temperatures the same
If an electron is released at the equator and falls toward earth under the influence of gravity, the magnetic force on the electron will be toward the
The free-body diagram below represents all the forces acting on an object. What is the net force acting on this object?
300 N right
100 N down
0 N up
200 N right
Answer:
200 N to the right
Explanation:
The 50 N forces cancel each other since they are opposing each other.The value of gravitational pull on the moon is 1.6m/s/s. what is the weight of a 85kg astronaut on the moon?
weight=
mass=
gravity=
formula:
substitution:
answer:
Explanation:
Gravity = 1.6 m/s^2
Mass = 85 kg
Full infomation needed your question is incomplete and BTW fomula : G Mm
R^2
Use F = 1/T as your basis:
9. Find the frequency of a tuning fork that takes 2.50×10−3s to complete one oscillation.
The answer is 400 Hz but please show your work.
Now
Frequency:-
[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{T}[/tex]
[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{2.5\times 10^{-3}}[/tex]
[tex]\\ \rm\rightarrowtail \nu=0.4\times 10^{3}[/tex]
[tex]\\ \rm\rightarrowtail \nu=400Hz[/tex]
The frequency for this time will be 400 Hz.
What is the frequency?Frequency is defined as the ratio of the number of waves to time. It is denoted by f.
f=[tex]\frac{1}{T}[/tex] where,
f is the frequency and,
T is the time period.
SI unit of frequency is Hz.
There are different types of frequency in sound :
Infrasonic-The frequency is less than 20 Hz.Audible-The frequency is between 20Hz to 20,000 Hz.Ultrasonic-The frequency is greater than 20,000 Hz.According to the question :
Given :
T= 2.50×[tex]10^{-3}[/tex]
f=[tex]\frac{1}{T}[/tex]
⇒f=1/(2.50×[tex]10^{-3}[/tex])
⇒400 Hz
Hence, the frequency for this time will be 400 Hz.
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If you have 10 ounces of meat, what percentage of the calories comes from fat if the meat is 90% lean?
Answer:
There are 602 calories in 10 ounces of Ground Beef (85% Lean / 15% Fat). serving sizes of Ground Beef
Explanation:
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A soft foam block of mass m slides without friction in the
positive x-direction with speed v. At time t = 0, a student briefly
pushes the block with a force probe in the positive x-direction. The
graph to the right shows the force probe's measurements as a
function of time during the push. Which of the following statements
is true about the block's momentum between t = 0 and t = t;?
The true statement about the blocks momentum is : The momentum of the block has increased by approximately 1/2 F₀t₁ ( B )
Change in MomentumGiven that the change in momentum is equivalent to the Area which is under the force time graph
where :
Area under the force time graph = 1/2 F₀t₁ . Therefore we can conclude that the momentum of the block has increased by an equivalent value of the are under the time graph.
Hence we can conclude that the true statement about the blocks momentum is The momentum of the block has increased by approximately 1/2 F₀t₁ .
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Attached below is the missing part of your question
missing options
The momentum of the block has decreased to zero at time t1. - AThe momentum of the block has increased by approximately 1/2 F0t1 - BThe momentum of the block has decreased by approximately 1/2 F0t1 - CThe change in momentum cannot be determined without knowing the distance by which the force probe compressed the block. - DWhy was the light peppered moth able to flourish prior to the Industrial Revolution?
O by blending in with the trees
o the ability to fly
O an abundance of food
O fewer predators
Answer:
B. by blending in with the trees
Answer:
B. by blending in with the trees
Explanation:
A thermoacoustic generator transforms thermal energy into electrical energy. Thermal energy is transferred to a gas by a heat exchanger. The thermal energy causes the gas particles to vibrate rapidly and generate a sound wave. These vibrating gas particles are then used by an alternator to generate electrical energy. The gas used in this kind of generator must be nonreactive to avoid the danger of fire. Using heavier gases increases the amount of electrical energy generated.Which two elements on the table are most likely to be good choices for use as the gas in a thermoacoustic generator?
Answer:
Co2
Explanation:
The amount of potential energy possessed by an elevated object is:.
2. What is the difference between electric potential energy and gravitational potential energy? Name one
example of an object having one type of potential energy but not the other.
Gravitational potential energy is an energy acquired by an object due to a change in its height when it is present in a gravitational field. It is denoted by P or U. and it its expressed in joule. Gravitational potential energy is given by U = mgh where m is the mass of the object, g is acceleration due to gravity and h is the height.
when we take an object of mass m to a certain height in the field of gravitation, we can say that body has potential energy and we release that body from that height, it falls.
Electric potential energy is the energy that is needed to move a charge against the electric field.
Electric Potential Energy is given by,
[tex]U_E = k \frac{q_1q_2}{r}[/tex] where k is dielectric constant, q is charge r is the distance.
Electric Potential Energy is the potential energy stored against electric field. it exist around the charged particle.
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1. The Particle Theory of Matter says that. A. Particles are in constant motion
b. Everything is made up of particles
c. Plasmas have charged particles
d. Solids have no particles
Answer:
a. Particles are in constant motion.
What type of charge is acquired when a rubber is rubbed with a fur
Answer:
The triboelectic charging process (a.k.a., charging by friction) results in a transfer of electrons between the two objects that are rubbed together. Rubber has a much greater attraction for electrons than animal fur.
Explanation:
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HELP MEEEE, question number 5
Explanation:
The gravitational potential energy of an object is given by GPE=mgh
where m is the mass of the object, g is the gravitational field strength (9.81 m/s² on earth) and h the height it is lifted at above the GPE reference ground.
Mass 1 has a GPE=m¹gh=(2)(9.81)(10)=196.2 Joule
Mass 2 has a GPE=m²gh=(4)(9.81)(10)=392.4 Joule
Object 2 has more potential energy and it makes sense since it's heavier
Hope this helps :))
In your own words describe the physiological significance of the fev1/fvc ratio
Answer:
if you doctor suspect that you have COPD , they will calculate your fev1/fvc ratio . this represent the percentage of your lung capacity that you can explain in one second. the higher your percentage , the larger your lung capacity and the healthier your lungs
The ratio [tex]\frac{FEV1}{FVC}[/tex] indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway.
What is lung volume?The volume of air in the lungs at different stages of the respiratory cycle is referred to as lung volumes and lung capacities. An adult human male's entire lung capacity is around 6 liters of air.
The ratio [tex]\frac{FEV1}{FVC}[/tex] indicates the diameter of an airway. The greater the value, the more quickly air can pass through the airway. As a result, the lower the resistance, the broader the airway becomes.
Hence the lower the resistance, the broader the airway becomes.
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which thermometer one containing mercury or one containing alcohol, could be used in a polar region where the temperature reaches below -40 degrees?
A solid cylindrical disk has a radius of 0.15 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 50-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 110 rad/s2. What is the mass of the disk?
For A solid cylindrical disk has a radius of 0.15 m, The mass of the disk is mathematically given as
M=6.06kg
What is the mass of the disk?Generally, the equation for the Torque is mathematically given as
t=Ia
Therefore
FR=Ia
50*0.15=M((15^2)/2*10)
M=100/110*15
M=6.06kg
In conclusion, the mass of the disk
M=6.06kg
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A 20 Ohm resistance is connected
across the secondary winding of a
single-phase power transformer
whose secondary voltage is 150 V.
Calculate the primary voltage if the
supply current is 5 A, neglecting
losses.
Answer: 225 V
Explanation:
Given:
Secondary voltage,V2 = 150v
Resistance is connected across secondary winding,∴R2 = 20Ω
Supply current, ie, I1 = 5A
[tex]\text{Now, secondary current,} \ $I_{2}=\frac{V_{2}}{R_{2}}=\frac{150}{20}=7.5$$$\therefore I_{2}=7.5 \mathrm{~A}$$For Transformers, we have $\frac{N_{2}}{N_{1}}=\frac{V_{2}}{V_{1}}=\frac{I_{1}}{I_{2}}$ so, Taking $\frac{N_{2}}{N_{1}}=\frac{l_{1}}{l_{2}}$ inserting all given \& obtained values, we get $\frac{N_{2}}{N_{1}}=\frac{5}{7.5}$$$\therefore \text { Turns ratio }=\frac{N_{1}}{N_{2}}=\frac{7.5}{5}=\frac{3}{2}=3: 2$$[/tex]
[tex]\text{Again taking,}\frac{N_{1}}{N_{2}}=\frac{V_{2}}{V_{1}}$ \\So, \\$V_{1}=\frac{N_{1}}{N_{2}} V_{2}\\$ inserting all values, we get, $V_{1}=\frac{7.5}{5} * 150=225$\\Therefore, \fbox{Primary voltage, {$V_{1}=225 \mathrm{~V}$}}[/tex]
For ____________, the error is calculated by finding the sum of squared distance between actual and predicted values
Answer: It is minimising
For minimizing, the error is calculated by finding the sum of the squared distance between actual and predicted values.
What is the error?The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.
We have:
For ____________, the error is calculated by finding the sum of the squared distance between actual and predicted values
The correct answer is minimizing because according to the information provided in the problem. The sum of squared distance between actual and anticipated values is calculated to "minimize" the mistake.
This is one of the most significant aspects of statistics, and it involves mathematical computations involving error calculations for various values.
Thus, for minimizing, the error is calculated by finding the sum of the squared distance between actual and predicted values.
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Help please. Will give brainliest
Answer:
Your answer would be:
B.) Both carry energy in the form of vibration
Explanation:
Have a great rest of your day
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The Earth's biosphere is consists of
A(only the water on Earth that is in its solid form.
B(all of the Earth's water, including surface water, groundwater, snowcover, ice, and water in the atmosphere.
C(the part of the earth and its atmosphere in which living organisms exist or that is capable of supporting life.
D(the solid part of the earth consisting of the crust and outer mantle.
Answer:
The part of the earth and its atmosphere in which living organisms exist or that is capable of supporting life.
Explanation:
It’s in the definition of biosphere. “Bio” means “life,” so “biosphere” is that portion of the Earth capable of supporting life.
By which factor is the sound intensity decreased at 3 meters?
StartFraction 1 over 9 EndFraction.
StartFraction 1 over 3 EndFraction.
StartFraction 1 over 2 EndFraction.
StartFraction 1 over 4 EndFraction.
Distance is the factor that decreased the sound intensity.
Which factor decrease sound intensity?As a sound wave carries its energy through a medium, the intensity of the sound wave decreases with increasing distance from the source.
So we can conclude that distance is the factor that decreased the sound intensity.
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By a factor of 1/9, the sound intensity decreased at 3 meters. Option A is correct,
What is the relation between sound intensity and distance?Sound intensity is inverse proportional to the square of the distance.
The intensity of the sound is;
[tex]\rm I = \frac{1}{d^2} \\\\ \rm I = \frac{1}{3^2} \\\\ I=\frac{1}{9}[/tex]
By a factor of 1/9, the sound intensity decreased at 3 meters.
Hence, option A is correct,
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Why would the force of gravity change between the earth and sun when the mass of the earth increased
If a 2.00 kg ball is thrown straight up world and its maximum height is 25.51 m. Approximately how much potential energy (PE) dose the ball possess when it reaches it’s maximum height (g=9.8 m/s^2)
Answer:
500
Explanation:
im not sure if this is right but if its not im very sorry and i hope you have a great day or night wherever you are
A metal spoon was placed in a dish of ice cream and became cool. Which correctly describes the heat transfer process that resulted in the cooling of the spoon?.
Answer:
The heat went from the i cream to the spoon making it cool.
Explanation:
i just know.
Two equivalent sinusoidal waves travel toward each other on a spring they interfere. What if the waves traveling toward each other aren't sinusoidal but a series of pulses as seen in the picture? What effect does this have on the spring?
Answer:
Superposition would take place
Explanation:
The waves would interfere with one another either in the form of Constructive Interference or Destructive Interference.