Based on the calculations, the tension in the string connecting the yo-yo to the boy's finger is equal to: A. 35 Newton.
Given the following data:
Mass, m = 0.5 kg.Speed, v = 7 m/s.Radius, r = 0.7 meters.How to calculate the tension in this string?Based on the information provided, we can logically deduce that the tension in the string connecting the yo-yo to the boy's finger is equal to the centripetal force acting on it.
Mathematically, centripetal force can be calculated by using this formula:
Fc = mv²/r
Fc = (0.5 × 7²)/0.7
Fc = 24.5/0.7
Fc = 35 Newton.
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Angling of the focal track of the anode to create a large actual focal spot and a smaller effective focal spot describes (the):
Angling of the focal track of the anode to create a large actual focal spot and a smaller effective focal spot describes the line focus principle
What is the line focus principle?
The line focus principle states that as the anode angle is reduced, the actual focal spot also becomes small but the heat loading is increased.
It also explains the relationship between the anode surface and the effective focal spot size.
As a result of this, by angling the target, effective area of the target is made much smaller that the actual area of electron interaction.
Hence, angling of the focal track of the anode to create a large actual focal spot and a smaller effective focal spot describes the line focus principle.
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The speed of a car increases uniformly from 6 m/s to 42 m/s in 9 second calculate the acceleration of the car
The acceleration of the car which changes the speed uniformly is 4 m/s²
What is acceleration?Acceleration can be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Given is the initial velocity 6m/s and final velocity 42m/s, the time take fir this change in speed is 9s.
Substitute the values, we have
a = (42-6)/9
a = 36/9
a =4 m/s²
Thus, the acceleration is 4 m/s²
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G a magnetic field perpendicular to the plane of a wire loop is uniform in space but changes with time t in the region of the loop. if the induced emf in the loop increases linearly with time t, then the magnitude of the magnetic field must be proportional to
Answer:
e = Δφ / Δt induced emf is proportional to enclosed flux
Also φ = B * A flux is proportional to area and enclosed field
If the induced emf e increases with time than the flux and hence the magnetic field is increasing with time (replace B with G)
Since e = ΔG * A / Δt if e is linear then G must also be linear and be proportional to the time
If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (assume that we are on earth and that gravity is 9.81 meters/second². ) a. 0.87 centimeters b. 2.1 meters c. 1.6 meters d. 0.87 meters e. 8.3 meters
Answer:
d. 0.87 meters
Explanation:
You want to know the length of a pendulum whose period is 1.87 seconds.
PeriodThe formula for the period of a pendulum in terms of its length is ...
T = 2π√(L/g)
LengthSolving for length, we have ...
T/(2π) = √(L/g) . . . . . . . divide by 2π
(T/(2π))² = L/g . . . . . . . square both sides
gT²/(4π²) = L . . . . . . . multiply by g
For the given period and value of g, we find the length to be ...
L = 9.81·(1.87/π)²/4 ≈ 0.87 . . . . meters
The length of the pendulum is about 0.87 meters.
Answer: d. 0.87 meters
Explanation: plato :)
A machine is used to convert heat energy into work energy, and is connected to a cooling system which keeps the machine at a constant temperature. If 2000 kJ of heat energy enter the machine, and the machine performs 700 kJ of work,
how much heat energy must still be removed by the cooling system?
Remember What the law of Conservation of energy says about the total energy before and after a transformation.
The amount of heat energy that must still be removed by the cooling system is 1300 kJ.
Conservation energyThe total energy before and after a transformation must be equal.
Based on this principle, the heat energy that must still be removed by the cooling system is calculated as follows;
Input heat energy = out put heat energy
E = h + w
2000 kJ = h + 700 kJ
1300 kJ = h
Thus, the amount of heat energy that must still be removed by the cooling system is 1300 kJ.
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A monkey is chained to a stake in the ground. The stake is 3.00 m from a vertical pole, and the chain is 3.40 m long. How high can the monkey climb up the pole
From the calculation and based on the Pythagoras theorem, the monkey will climb 4.5 m.
What is the Pythagoras theorem?The Pythagoras theorem is based on the sides of the right angled triangle. It states that the square of the longest side is equal to the square of the other two sides.
Thus;
c= √3^2 + 3.4^2
c = 4.5 m
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When object 1 came into contact with object 2, object 2 got warmer. what can be concluded about the objects before they came into contact with each other? object 2 did not have thermal energy. object 1 had faster-moving particles. object 1 had less thermal energy. object 2 had fewer particles.
The statement that is true regarding the objects is that object 1 had faster-moving particles, which is option 2. Details about matter can be found below.
What is matter?Matter can be defined as any particle that has weight and occupies space.
Certain particles are present in the different states of matter. According to this question, when object 1 came into contact with object 2, object 2 got warmer.
This suggests that the particles in the object 1 is moving faster due to an increase in temperature.
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Answer: b
Explanation: i took the quiz
1750 N irregular beam is hanging horizontally by its ends from the ceiling by two vertical wires (A and B), each 1.25 m long and weighing 0.290 N. The center of gravity of this beam is one-third of the way along the beam from the end where wire A is attached. If you pluck both strings at the same time at the beam, what is the time delay between the arrival of the two pulses at the ceiling
The time delay between the arrival of the two pulses at the ceiling is 2.33 ms.
What is center of gravity?Any object of mass is attracted towards another by point where whole mass is supposed to be concentrated is called center of gravity.
A 1750 N irregular beam is hanging horizontally by its ends from the ceiling by two vertical wires (A and B), each 1.25 m long and weighing 0.290 N.
The center of gravity of this beam is one-third of the way along the beam from the end where wire A is attached.
Taking moments about one end, to find the tension at other end.
Tb X L = WxL/3
here, W is the weight, L is the length of wire and Tb is the tension at point B.
So, Tb = W/3
and
Tb - Ta = W
here, Ta is the tension in end A.
Substitute the values, we get
Tb = 583.33N and Ta = 1166.66N
Velocity of end A, Va = (1166.66 x1.25 x 9.81/0.290 )^(1/2)
Va = 222 m/s
Velocity of end B, Vb = (583.33 x1.25 x 9.81/0.290 )^(1/2)
Va = 157 m/s
Time delay t is related with the velocities as
t = L/Vb - L/Va
Substitute the values, we get
t= 0.00233 s
t = 2.33 ms
Thus, time delay between the arrival of the two pulses at the ceiling is 2.33 ms.
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In a hard disk drive, a constant torque of 14 N⋅m is applied to the magnetic disk when the drive starts recording data. The magnetic disk has a mass of 0.2 kg and radius 2m. Determine the magnitude of the angular acceleration of the disk? [please solve if you know]
The magnitude of the angular acceleration of the magnetic disk is determined as 35 rad/s².
Angular acceleration of the disk
The angular acceleration of the disk is determined from the principle of conservation of angular momentum as follows;
τ = Iα
where;
α is angular acceleration
I is moment of inertia of the disk
I = 0.5MR²
I = 0.5 x 0.2 x 2²
I = 0.4 kgm²
τ = Iα
α = τ/I
α = (14)/(0.4)
α = 35 rad/s²
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What is an object's acceleration if it is moving at 40 m/s and comes to a stop in 5 s?
An object's acceleration if it is moving and comes to a stop in 5 s will be 8 m/s².
What is acceleration?Acceleration is defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
An object is moving with initial velocity u = 40 m/s and it comes to stop, then its final velocity v= 0 m/s.
Time taken for the change in speed t=5s.
The acceleration is given by
a = (40 -0)/ 5
a = 8 m/s²
Thus, the object's acceleration is 8 m/s².
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Calculate the mass of air of density 1.2kgm-3 in a room of dimensions 8m by 6m by 4m.
Answer:
230.4kg
Explanation:
volume of the room = l× b×h
volume= 8×6×4
volume=192m3
density= mass/volume
hence mass= density × volume
mass= 1.2kgm-3 × 192m3
mass= 230.4kg
Cool air tends to...
A. Be less dense and flow over warm air.
B. Be lifted up by more dense warm air.
C. Be more dense and flow under warm air.
D. Mix easily with warm air masses.
Answer: C. Be more dense and flow under warm air.
Explanation:
think of a supermarket selling dairy products and when you open the fridge to get the milk, outside the supermarket is hot and inside the fridge is cold ice.
How does the circuit change when the wire is added? a closed circuit occurs and makes all bulbs turn off. an open circuit occurs and makes all bulbs turn off. a short circuit occurs and makes bulbs 3 and 4 turn off but keeps bulbs 1 and 2 lit. a short circuit occurs and makes bulbs 1 and 2 turn off but keeps bulbs 3 and 4 lit.
The circuit change when a wire is added is, an open circuit occurs and makes all bulbs turn off.
What is a closed circuit?A closed circuit is a type of circuit connection in which the wire connection is complete and current flow occurs, turning the light bulbs on in the process.
What is an open circuit?An open circuit is a type of circuit connection in which the wire connection is incomplete and current cannot flow, turning off the light bulbs.
Thus, the circuit change when the wire is added is, an open circuit occurs and makes all bulbs turn off.
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The earth’s orbit around the sun is elliptical. What does this word mean?.
Answer:
An elliptical orbit is the revolving of one object around another in an oval-shaped path called an ellipse. The planets in the solar system orbit the sun in elliptical orbits. Many satellites orbit the Earth in elliptical orbits as does the moon.
Information about mars' moons.
Answer:
mars is a fourth planet of the sun and the second planet in the solar system
moon is a natural satellite of the earth it isthe fifth largest moon in the solar system
Explain the difference between average speed and average velocity. The average acceleration is the difference between the average speed and the average velocity. Average speed is measured in kilometers per hour, whereas average velocity is measured in miles per hour. There is no difference between average speed and average velocity; they are completely equivalent terms. The average speed, a scalar, is greater than or equal to the magnitude of the average velocity vector over the same time interval. The average speed, a scalar, equals the magnitude of the average velocity vector over the same time interval.
The average speed, a scalar, is greater than or equal to the magnitude of the average velocity vector over the same time interval. Option C is correct.
What is average velocity?The average velocity is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.
A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
The distinction between average speed and average velocity is that the scalar average speed is larger than or equal to the magnitude of the vector average velocity during the same time frame.
Hence option C is correct.
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A boat going from salt water (sg = 1. 03) to fresh water (sg=1. 0) sinks 7. 82cm and after burning 72,730kg of coal rises up by 15. 24cm. Find the original displacement of the boat in seawater in kn
The original displacement of the boat in seawater in km is 7.42 x 10⁻⁵ km.
What is displacement?The shortest path traveled by any particle during its motion.
A boat going from salt water to fresh water sinks 7. 82cm. After burning coal, the boat rises up by 15. 24cm.
Displacement = 15.24 -7.82 = 7.42 cm
1cm = 10⁻⁵ km
So, 7.42 cm =7.42 x 10⁻⁵ km
Thus, the original displacement is 7.42 x 10⁻⁵ km.
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what are magnetic field line??
Answer:
Magnetic field lines are a visual tool used to represent magnetic fields.meaning you cant really see them with out the tool witch magnetic force on a north and south
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Maintaining at least a 1-second space margin from the vehicle in front of you not only provides you with visibility, time, and space to help avoid rear-end crashes, but also allows you to steer or brake out of danger at moderate speeds. Select one: True False
Answer:
True -
60 mph = 60 mph * 5280 ft /hr / (3600 sec/hr) = 88 ft/sec
At 60 mph one would travel 88 ft in 1 second
Which quantity is a vector quantity?
A.
displacement
B.
distance
C.
mass
D.
temperature
E.
volume
Answer:
Displacement...
Explanation:
Displacement is a vector quantity as it have both magnitude and direction...
[tex]...[/tex]
a. displacement is the correct answer
Displacement is a vector quantity
EXPLANATIONDisplacement is a vector quantity because it has both magnitude and direction.
Please help 40 points!!!!
choose a scientist from (democritus, john dalton, jj thomson, ernest rutherford, niels bohr, erwin schrodinger or james chadwick) . conduct research using outside sources. be sure to choose reliable resources such as government, scientific, and educational websites. document all research in your own words. be sure to properly cite all sources used in your assignment.
research and respond to the following:
what were experiences in his life that led to his interest in science and the study of the atom? (3-5 sentences paraphrased)
defend his work on the atom and its contribution to the modern atomic model. (3-5 sentences paraphrased)
point out which contributions are present in the modern atomic model and which were eventually disproven and thus are not part of the modern model. (3-5 sentences paraphrased)
works cited: list all of the websites used to find the information. you should have at least 2.
The answers to all the research related questions are written below.
What is atom?Atom is the smallest unit of the element. Different elements have different size atoms and same element have same size atoms.
James Chadwick tracked down the neutron in 1932 and was conceded the Nobel Prize for science in 1935 held in a German prison camp for all of World War 1, he driven the British gathering inside the Manhattan Extend, in which the UK and Canada maintained the USA's World War 2 effort to build the world with nuclear bomb.
Chadwick and Rutherford were the first scientists who measured the nucleus radius using the alpha particles. He did Gold foil experiment to find the size of nucleus.
The contributions are present in the modern atomic model. They are: All matter consists of atoms. Atoms of the same element are the same in size and atoms of different elements are different. Atoms combine in whole-number ratios to form compounds.
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Calculate the work done by a crane of power 80,000W in 60 seconds.
Answer:
48MJ
Explanation:
Formula :
Work done = Power × time
============================================================
Given :
⇒ Power = 80,000 W = 80kW
⇒ Time = 60s
=============================================================
Solving :
⇒ Work done = 80kW × 60s
⇒ Work done = 4800kJ
⇒ Work done = 48MJ (megajoule)
A roller coaster car moving at a velocity of 30 meters/second has a momentum of 2.5 × 104 kilogram meters/second. what is its mass? a. 85 kilograms b. 8.3 × 102 kilograms c. 7.6 × 102kilograms d. 7.6 × 103 kilograms e. 7.6 × 104 kilograms
The mass of a rollercoaster car moving at a velocity of 30 meters/second and has a momentum of 2.5 × 104 kilogram meters/second is 8.3 × 10²kg.
How to calculate mass?The mass of the roller coaster car can be calculated using the following formula:
P = m × v
Where;
P = momentumm = massv = velocitym = 2.5 × 10⁴ ÷ 30
m = 8.3 × 10²kg
Therefore, the mass of a rollercoaster car moving at a velocity of 30 meters/second and has a momentum of 2.5 × 104 kilogram meters/second is 8.3 × 10²kg.
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A ball is dropped and accelerates downwards at a rate of 10m/s^2 for 12 seconds how much will the ball's velocity increase by?
Answer:
120 m/s
Explanation:
acceleration = velocity/time
10m/s^2 = velocity / 12seconds
10*12 = velocity
120m/s = velocity
Our Sun has a peak emission wavelength of about 500 nm and a radius of about 700,000 km. Your dark-adapted eye has a pupil diameter of about 7 mm and can detect light intensity down to about 1.5 x 10-11 W/m2. Assume the emissivity of the Sun is equal to 1. First, given these numbers, what is the surface temperature of the Sun in Kelvin to 3 significant digits
The surface temperature of the Sun in Kelvin to 3 significant digits is 0.127 K.
Surface temperature of the Sun
The surface temperature of the sun is determined by using the following equations as shown below;
P/A = σT⁴
I = σT⁴
where;
I is intensity of the light = 1.5 x 10⁻¹¹ W/m²σ is Boltzmann constant = 5.67 x 10⁻⁸ W/m²K⁴T⁴ = I/σ
T⁴ = (1.5 x 10⁻¹¹)/ (5.67 x 10⁻⁸)
T⁴ = 2.65 x 10⁻⁴
T = (2.65 x 10⁻⁴)^¹/₄
T = 0.127 K
Thus, the surface temperature of the Sun in Kelvin to 3 significant digits is 0.127 K.
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Calculate the power of a person that does 8kJ of work in 4 hours
Answer:
0.56 Watt
Explanation:
Work done = 8 kJ = 8000J
Time = 4 hours = 4*60*60s = 14400sec
Power = ?
Formula of Power is,
Power = Work done / Time
Power = 8000/14400
Power = 0.56 Watt
Hence, Power of person is 0.56Watt.
calculate the work done in kilo joules in lifting a mass of 20kg at steady velocity through a vertical height of 20m
Answer:
[tex]\huge\boxed{\sf Work\ done = 4 kJ}[/tex]
Explanation:
Since work done is in the form of potential energy, we will use the formula of potential energy here.
We know that,
P.E. = mghWhere,
m = mass = 20 kg
g = acceleration due to gravity = 10 m/s²
h = vertical height = 20 m
So,
Work done = mghWork done = (20)(10)(20)
Work done = 4000 joules
Work done = 4 kJ
[tex]\rule[225]{225}{2}[/tex]
I want to know what is the pressure of the stratosphere simple numbers
I’m in 6 grade
Answer:
This region of increasing temperatures is the stratosphere, spanning a pressure range from 100 millibars at its base to about 10 millibars at the stratopause, the top of the layer.
Explanation:
I just need the formula solved
Answer:
55 kg
Explanation:
Formula :
Force = mass × acceleration
=========================================================
Given :
⇒ Force = 220 N
⇒ acceleration = 4 m/s²
===========================================================
Solving :
⇒ 220 N = mass × 4 m/s²
⇒ mass = 220/4
⇒ mass = 55 kg
How is a simple machine different from a compound machine?
a compound machine is made of several simple machines
the difference is like a tree and a jungle