A pendulum is an object that hangs from a fixed point and is allowed to swing freely under the influence of gravity. It consists of a weight called a bob that is suspended from a fixed point by a string. In the laboratory, a student studies a pendulum by graphing the angle θ that the string makes with the vertical as a function of time t, observing the period of the pendulum, and measuring its length.
The period of a pendulum is the time it takes for one complete cycle of motion. The period of a pendulum is influenced by the length of the string, as well as the acceleration due to gravity. A longer string will have a longer period than a shorter one because it has a larger arc to travel through, while a shorter string will have a shorter period. The acceleration due to gravity, on the other hand, is constant, so it will not affect the period of a pendulum. The angle θ that the string makes with the vertical is also influenced by the length of the string. The longer the string, the less it will swing, and the smaller the angle θ will be.
The shorter the string, the more it will swing, and the larger the angle θ will be. Graphing the angle θ as a function of time t will reveal that the pendulum follows a periodic pattern. The amplitude of the angle θ will decrease over time due to the resistance of the air, resulting in a damping effect on the pendulum.
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Assume a rectangular strip of a material with an electron density of n=5.8x1020 cm-3. The strip is 9 mm wide and 0.2 mm thick and it is in a magnetic field of 7 T pointing out of the paper plane. The Hall voltage is measured to be 1.3 mV
What was the current during this measurement? State the current in Amp units.
Assume a rectangular strip of a material with an electron density of n=5.8x1020 cm⁻³. The Hall voltage is measured to be 1.3 mV. 111.69 A was the current during this measurement
To determine the current during the measurement, we can use the formula relating the Hall voltage, magnetic field, current, and sample dimensions. The given information includes the electron density, strip dimensions, magnetic field, and Hall voltage.
The formula for Hall voltage (VH) is ,\(VH=\frac{BId}{ne}\) where B is the magnetic field, I is the current, d is the thickness of the strip, n is the electron density, and e is the charge of an electron.
We are given VH = 1.3 mV, B = 7 T, d = 0.2 mm, and n = 5.8x10²⁰cm⁻³. The charge of an electron, e, is a constant value.
Rearranging the formula, we can solve for the current, I: \(I=\frac{VHne}{Bd}\)
I = 111.69 A
Substituting the given values, we can calculate the current in Amps
Therefore, by plugging in the given values into the formula, we can determine the current in Amperes during the measurement
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True or False: if a sound wave's frequency changes, its speed stays the same
5. Chad wants to investigate whether adding a solute to water affects its boiling point and freezing point. He set up an experiment and recorded the boiling and freezing point in degrees Celsius (°C), his results are in the data table.
EFFECT OF SOLUTE ON BOILING AND FREEZING POINTS
Test
A.Water
B.Water + 10 grams of salt
C.Water + 20 grams of salt
D.Water +30 grams of salt
E.Water + 40 grams of salt
Boiling Point (°C)
A.100.0
B.100.5
C.101.0
D.101.5
E.102.0
Freezing Point (°C)
A.0
B.-2
C.-4
D.-6
E.-8
Based on the data, which statement would be the best conclusion?
A. Adding salt to water decreases the boiling point.
B. Adding any solute to water increases the boiling point.
C. Adding salt to water increases the boiling point and decreases the freezing point.
D. Adding any solute to water increases the boiling point and decreases the freezing point.
Answer:
Explanation:
C. Adding salt to water increases the boiling point and decreases the freezing point.
Curie temperature is the temperature above whichparamagnetic material becomes ferromagnetic material
ferromagnetic material becomes diamagnetic material
ferromagnetic material becomes paramagnetic material
paramagnetic material becomes diamagnetic material
The Curie temperature is the temperature above which ferromagnetic material becomes paramagnetic material. Option B
The Curie temperature is defined as the temperature above which ferromagnetic material becomes paramagnetic material. At this temperature, the magnetic dipoles of the material become unaligned and the ferromagnetic material loses its magnetic properties.
Curie temperature is also called the Curie point or Curie temperature point. The transition from ferromagnetic to paramagnetic behavior above the Curie temperature is due to the breaking of the atomic-level magnetic domains that are aligned below the Curie temperature.
This transition is due to the thermal energy becoming sufficient to overcome the exchange coupling between the magnetic dipoles and therefore, the materials will exhibit paramagnetic behavior.
The Curie temperature is a key parameter in the study of magnetism and magnetic materials and has a significant impact on the behavior of ferromagnetic materials. The Curie temperature varies with the type of material and it can be used to distinguish different types of magnetic materials. Option B
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A ball is thrown from a hot air balloon that is at rest 245 m above the ground. How long will it take for the ball to reach the ground? How fast will the ball be traveling when it reaches the ground?
Answer:
7.07 s
69.3 m/s
Explanation:
Taking the negative direction to be down and the positive direction to be up:
We have 3 variables in the y-direction and can solve for time.
v₀ = 0 m/sa = -9/8 m/s² Δy = -245 m t = ?Use this kinematics equation to solve for time.
Δx = v₀t + 1/2at² -245 = 1/2(-9.8)t² -245 = -4.9t² t² = 50t = 7.07106781187It will take the ball 7.07 s to reach the ground.
We can solve for final velocity using the same variables in the y-direction:
v₀ = 0 m/sa = -9/8 m/s² Δy = -245 m v = ?Use this kinematics equation to solve for final velocity.
v² = v₀² + 2aΔxv² = 2(-9.8)(-245) v² = 4802v = 69.2964645563The ball will be traveling at a speed of 69.3 m/s at the instant before it reaches the ground.
A 39-Ω resistor is connected across a 45-V battery. A. What is the current in the circuit? b. How much energy is used by the resistor in 5. 0 min?
Answer with explanation
a) Formula to find the current that passes through a circuit is :
Voltage = Current × ResistanceGiven that,
Voltage = 45V
Resistance = 39Ω
Current =?
Let us find it now.
V = I × R
45V = I × 39Ω
Divide both sides by 39.
1.153A = I = Current
b) Formula to find the energy is:
Energy = voltage × current × time= 45V × 1.153A × ( 5 × 60)s
= 15565.5 J
= 15.5655kJ
lighting is blank A.a build-up of neutrons B.harmless if you don't hear thunder C.a large discharge of static electricity D.a low-voltage current
Answer:
C
Explanation:
lightning is an electrostatic discharge
Two bowling balls are rolling towards each other at constant velocities. ball one has a velocity of 3 ft/s and ball two has a velocity of 5 ft/s. if they start 30 feet apart, how long (in seconds) will it take for them to collide?
The two balls will collide in 2 seconds if they start 30 feet apart.
To calculate the time it takes for the two balls to collide, we first need to calculate the distance between them. The distance between two objects is equal to their speed multiplied by the time it takes them to travel that distance: velocity × time = distance
In this case, we want our distance formula to be 3 ft/s × 2 seconds = 6 ft
Then, using our formula, we can find how long it would take for the two balls to collide by plugging in our numbers: 6 ft + 5 ft = 11 ft. When we add 11 ft into both sides of our equation, we get 0 seconds, which means that when these two balls collide, they collide at the same time.
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an electric field line diagram is shown below. an electron is placed at point a. the electron is then removed and a proton is placed at point b. what is the direction of the electric force ? give angle relative to x with ccw as positive. what is the direction of the electric force ? what is true of the magnitude of the two forces?
We can find direction by electric field diagram and magnitude remain the same despite of a change in positions.
When a proton is placed at point A and an electron is placed at point B, the direction of the electric force F is determined by the electric field line diagram. The electric force between the two charges is a vector force, which means it has both a magnitude (strength) and a direction.
The magnitude of the electric force F between a proton and an electron is determined by Coulomb's Law, which states that the magnitude of the force between two charges is in direction proportion to charges' product and in inverse proportion with their distance squared.
to the product of the two charges and inversely proportional to the square of the distance between them. Thus, the magnitude of the electric force F between the charges is independent of the direction, so the magnitudes of the electric force F between a proton and an electron, regardless of their positions, will always be the same.
The direction of the electric force F, however, is determined by the electric field line diagram. In the diagram, the electric force F is directed away from the positive charge (the proton) and toward the negative charge (the electron). Therefore, the electric force F will be directed away from point A and toward point B, making the angle relative to the +x axis clockwise, with a positive angle.
In summary, the magnitude of the electric force F between a proton and an electron will remain the same regardless of the positions of the particles, while the direction of the electric force F will be determined by the electric field line diagram, with the angle relative to the +x axis clockwise, with a positive angle.
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A block of mass m is suspended from two identical springs of negligible mass, spring constant k, and unstretched length l
The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.
How to compute the equation?From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.
For case 2, f = mg = kx₂.
Therefore, we'll equate the equations. This will be:
Kx₁ = Kx₂
(K/2)x₁ = (2k)x₂
K(x₁/2) = k(2x₂)
X₁/2 = 2x₂
X1 = 2 × 2x₂
X₁ = 4X₂.
In conclusion, X₁ = 4X₂.
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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
For case 1;
f=mg=kx₁
For case 2;
f=mg=kx₂
After equating the equation we get;
\(\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2\)
Hence X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
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Research the shortcomings of Newton's corpuscular theory of light. Write two to three paragraphs on Huygen's wave theory and the solution it found to the shortcomings of Newton’s theory.
Newton's corpuscular theory of light, proposed in the 17th century, described light as composed of tiny particles or "corpuscles".Huygen's wave theory of light, presented a solution to the shortcomings of Newton's corpuscular theory.
Newton's corpuscular theory of light, proposed in the 17th century, described light as composed of tiny particles or "corpuscles" that traveled in straight lines and exhibited properties of reflection and refraction.
However, Newton's theory faced several shortcomings. One major issue was its inability to explain certain phenomena, such as diffraction and interference, which involve the bending and spreading of light.
Additionally, Newton's theory struggled to explain the colors produced by thin films and the behavior of polarized light. These limitations called for a new theory to provide a more comprehensive understanding of light.
Huygen's wave theory of light, proposed by Dutch physicist Christiaan Huygens in the 17th century, presented a solution to the shortcomings of Newton's corpuscular theory.
Huygen's theory postulated that light consists of waves that propagate through a medium, similar to the way ripples spread across the surface of water.
According to Huygen, every point on a wavefront serves as a source of secondary spherical wavelets, which combine to form the overall wave pattern. This concept explained phenomena such as diffraction and interference, as the secondary wavelets interfere constructively or destructively, leading to the observed patterns.
Huygen's wave theory successfully accounted for the phenomena that Newton's theory struggled to explain. It provided a framework to understand the bending and spreading of light, as well as the colors produced by thin films and the behavior of polarized light.
Huygen's theory also laid the foundation for later developments in the field of optics, leading to further advancements in the understanding of light as a wave phenomenon.
The wave theory of light eventually became widely accepted and played a crucial role in the development of modern physics, including the wave-particle duality concept in quantum mechanics.
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An object is moving with uniform speed in a circle of radius r. Calculate the distance and displacement
(a) When it completes half the circle,
(b) When it completes full circle,
(c) What type of motion does the object possess ?
Answer and Explanation:
distance will be 2×3.14 (pie)×r
displacement will be 2r (diameter)
the motion is uniform circular motion as the object is moving in a circular path with uniform motion
Answer:
distance= pi*r=π×r²
displacement=2r
Mark as brainlest answer!The intensity of the distributed lood acting on the beams 25 kN/m.) Determine the magnitude of reaction at Express your answer to three significant figures and include the appropriate units O ? N Value Units Submit Request Answer Figure Part 6 1 of 1 Delane te zand y components of reaction all sing scalar notation Express your answers using three significant figures separated by a comma HV AED vec ?
The magnitude of reaction at the beam due to the distributed load of 25 kN/m is 625 N.
What is the magnitude of reaction to the distributed load?The magnitude of reaction at the beam can be determined by calculating the total force exerted by the distributed load. In this case, the distributed load is given as 25 kN/m. To find the magnitude of reaction, we multiply the distributed load by the length of the beam.
Therefore, the magnitude of reaction is 25 kN/m multiplied by the length of the beam in meters. By performing the calculation, we obtain the value of 625 N as the magnitude of reaction at the beam due to the distributed load. This represents the total force exerted by the distributed load on the beam.
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fill in the blank
Inertia is a ______ of matter.
property
piece
portion
Answer:
Property
Explanation:
Inertia is the property of matter that makes this law hold true
four 18.0ω resistors are connected in parallel across a 25.0 v ideal battery. what is the current through the battery?
To calculate the current through the battery, we need to first find the equivalent resistance for the four 18.0Ω resistors connected in parallel. The formula for parallel resistors is:
1/R_eq = 1/R1 + 1/R2 + 1/R3 + 1/R4
Since all resistors have the same resistance (18.0Ω), the formula becomes:
1/R_eq = 4*(1/18.0)
Now, we can find the equivalent resistance:
R_eq = 1/(4*(1/18.0)) = 4.5Ω
Next, we can use Ohm's Law (V = I*R) to find the current through the battery. Rearranging the formula, we get:
I = V/R_eq
Substituting the given values:
I = 25.0V / 4.5Ω ≈ 5.56A
So, the current through the battery is approximately 5.56A.
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A gardener wanted two plant species in his house to flower at the same time. He read that
light is one factor that can affect whether plants produce flowers. The gardener designed an
experiment to determine the effect of light on his two plant species (X and Y). He placed
three plants of each species in separate rooms. Each plant was exposed to periods of light
and dark. Some plants received an additional 15 minutes of light at the same time during
the dark period. The results of the gardener's experiment are shown in the table.
A. Identify the plant species that needs long nights to flower and the plant species that
needs short nights to flower. Explain your answers.
Based on the results of the gardener's experiment, we can identify that species X needs long nights to flower, while species Y needs short nights to flower.
Species X needs long nights to flower, as we can see from the results. Plants in group X that were exposed to longer periods of darkness (12 hours light/12 hours dark) produced flowers, while those in group X that were exposed to shorter periods of darkness (9 hours light/15 hours dark) did not produce flowers. The additional dark period did not affect the outcome for species X, as plants in both groups that received additional dark did not produce flowers.
On the other hand, species Y needs short nights to flower. Plants in group Y that were exposed to shorter periods of darkness (9 hours light/15 hours dark) produced flowers, while those in group Y that were exposed to longer periods of darkness (12 hours light/12 hours dark) did not produce flowers. The additional dark period did not affect the outcome for species Y either, as plants in both groups that received additional dark did not produce flowers.
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--The given question is incorrect, the correct question is
"A gardener wanted two plant species in his house to flower at the same time. He read that light is one factor that can affect whether plants produce flowers. The gardener designed an experiment to determine the effect of light on his two plant species (X and Y). He placed three plants of each species in separate rooms. Each plant was exposed to periods of light and dark. Some plants received an additional 15 minutes of light at the same time during the dark period. The results of the gardener's experiment are shown in the table A. Identify the plant which species needs long nights to flower and which species needs short nights to flower? Explain your answers."--
A sample of cobalt-60 has an activity of 2000 Bq. What will the activity be after 10 years? Cobalt-60 has a half life of 5 years.
Answer:
500.3 Bq
Explanation:
From the formula;
0.693/t1/2 = 2.303/t log (Ao/A)
Where;
t1/12 = half life = 5 years
Ao = initial activity = 2000 Bq
0.693/5 = 2.303/10 log (2000/A)
0.1386= 0.2303 log (2000/A)
0.1386/0.2303 = log (2000/A)
0.6018 = log (2000/A)
(2000/A) = Antilog (0.6018)
(2000/A) = 3.9976
A = 2000/3.9976
A = 500.3 Bq
Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy
The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.
What is the process of sublimation in carbon dioxide?During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.
As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.
Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.
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as an example, a 3.90- kg aluminum ball has an apparent mass of 2.50 kg when submerged in a particular liquid: calculate the density of the liquid.
The density of the liquid in which the aluminum ball was submerged is found to be 2.7g/cm³.
When submerged in a certain liquid, a 3.90 kilogram aluminum metal ball has an apparent mass of 2.50 kg.
Aluminum has a density of 2.7gm/cm3.
We already know that 3.9 kg = 3900gm density = mass/volume
2.7 = 3900/volume
volume = 3900/2.7 cm³
We also know that the volume of liquid displaced Equals the volume of the ball,
The mass of liquid exhibited = the apparent weight of the Al ball = 2.5 kg = 2500 gm, and
Density of liquid = 2500/(3900/2.7)
= 2.7 gm/cm³
As a result, the density of the liquid is 2.7 gm/cm3.
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to sterilize a 50.0-g glass baby bottle, we must raise its temperature from to . how much heat transfer is required?
To sterilise a 50.0-g glass infant bottle, we must increase its heat from 22.0 to 95.0 degrees Celsius, or 3066 J of heat is transferred.
What is heat?Heat is the result of the movement of kinetic energy within a material or an item, or from form of energy to a material or an object. Electromagnetic energy can be transported using three different mechanisms: radiation, conduction, and convection. Conduction of heat through solids, convection of liquids and gases, and electromagnetic radiation (radiation).
What is the heat treatment?When a substance is subjected to a material-specific phase-change temperature, the material immediately undergoes a phase shift from a solid to a liquid. sources include solar energy, heat pumps, deep geothermal heat pumps, nat gas, lpg (LP), oil, coal, and wood.
Briefing:50.0 g (0.84 J/g C) of heat was transported (95 C - 22 C)
= 3066 J of heat transferred
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chang wants to build a circuit that will light up a bulb from a flashlight, and has a battery, switch, wire, and a light bulb.
The component that Chang could leave out and still be able to light up the bub is the switch.
What is a switch?The electric circuit refers to a path that is created for the flow of current. We know that current is the movement of electrons. When we connect a circuit, a proper conduit has been set up so that electrons can pass through.
In this case, we have been told that Chang wants to build a circuit that will light up a bulb from a flashlight, and has a battery, switch, wire, and a light bulb.
The component that Chang could leave out and still be able to light up the bub is the switch.
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Missing parts;
Chang wants to build a circuit that will light up the bulb from a flashlight. Which component could Chang leave out and still light up the bulb? the switch the battery the wire the light bulb
Answer:
A) the battery
Explanation:
A driver does not need to allow as much distance when following a motorcycle as when following a car.
TRUE/FALSE
The given statement "A driver does not need to allow as much distance when following a motorcycle as when following a car." is FALSE.
When following a motorcycle, a driver should maintain the same safe following distance as when following a car. This distance provides adequate time to react in case the motorcycle stops suddenly or encounters an obstacle in the road. In general, drivers should follow the "3-second rule" when determining the safe following distance.
Motorcycles are smaller and lighter than cars, making them more vulnerable to road hazards such as potholes, debris, or uneven surfaces. Additionally, motorcycles can stop more quickly than cars, so maintaining a safe following distance is crucial to avoid a potential collision.
Motorcyclists may also need to make sudden maneuvers or adjust their position in the lane to avoid obstacles, maintain stability, or optimize visibility. Drivers should be aware of these factors and give motorcycles ample space to navigate safely.
Furthermore, drivers should be extra cautious in adverse weather conditions or on wet roads, as motorcycles are more susceptible to losing traction, which can result in a skid or fall. Increasing the following distance in these situations can help ensure the safety of both the motorcyclist and the driver.
In summary, it is false to claim that a driver does not need to allow as much distance when following a motorcycle as when following a car. A safe following distance is crucial for preventing accidents and ensuring the well-being of all road users.
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Pring Semester Exam
If a 50kg bike is rolling with a force of 5N and collides with a stack of soft hay which causes it to stop in 0. 8 seconds, what is its impulse?
4
40
62. 5
6. 25
If a 50kg bike is rolling with a force of 5N and collides with a stack of soft hay which causes it to stop in 0. 8 seconds, then its impulse is 4 Newton-seconds (Ns). Therefore, the correct answer is "4".
The impulse experienced by an object can be calculated using the formula:
Impulse = Force * Time
In this case, the force acting on the bike is 5N, and it stops in 0.8 seconds. To find the impulse, we can substitute these values into the formula:
Impulse = 5N * 0.8s
Simplifying the calculation gives us:
Impulse = 4Ns
So, the impulse experienced by the bike is 4 Newton-seconds (Ns).
In the given answer choices, the option that matches the calculated impulse is "4". Therefore, the correct answer is "4".
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The observed a value for the diameter of a Hydrogen atom is 10.1 nm and the accepted value for this is 10 nm. Was you observation accurate?
A. No but it was precise.
B. Yes, the measurement was very close to the actual value.
C. Not enough information.
D. No not at all it was much smaller.
The value of the diameter of the hydrogen atom as we have it in this experiment is accurate because it is very close to the true value.
What is accuracy?The term accuracy refers to how close the measured value is to the true value. The true value is the same as the accepted value. In this case, the true value of the diameter of a Hydrogen atom is 10 nm.
The fact that is observed value is obtained to be 10.1 nm implies that the value of the diameter of the hydrogen atom as we have it in this experiment is accurate because it is very close to the true value.
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inside a washing machine, the radius of the cylinder where the clothes sit is 0.50 m. in one of its settings the machine spins the cylinder at 2.0 revolutions per second. what is the acceleration of an item of clothing?
Answer:
Approximately \(79\; {\rm m\cdot s^{-2}}\).
Explanation:
Apply unit conversion and ensure that angular velocity \(\omega\) is in radians per second. The angular displacement of each revolution is \(2\, \pi\) radians. Therefore:
\(\begin{aligned} \omega &= \frac{2.0\; \text{revolution}}{1\; {\rm s}} \\ &= \frac{2.0\; \text{revolution}}{1\; {\rm s}} \, \frac{2\, \pi}{1\; \text{revolution}} \\ &= (4.0\, \pi)\; {\rm s^{-1}} \\ &\approx 12.566\; {\rm s^{-1}}\end{aligned}\).
The clothes in this laundry machine are in a centripetal motion. The radius of the motion is \(r = 0.50\; {\rm m}\), and the angular velocity of the clothes is \(\omega \approx 12.566\; {\rm s^{-1}}\). The acceleration of the clothes will be:
\(\begin{aligned}a &= \omega^{2} \, r \\ &\approx (12.566\; {\rm s^{-1}})^{2} \, (0.50\; {\rm m}) \\ &\approx 79\; {\rm m\cdot s^{-2}}\end{aligned}\).
your instructor challenges you and your friend to pull on the ends of a horizontal rope attached to a pair of scales in a tug-of-war, but in such a way that the scale readings on the scales are different. can this be done? explain.
Answer:
If the scale readings are different then there will be a net force on the person attached to the scales:
Consider any point on the rope - if the forces in each direction are the same there is no acceleration of the rope
F = Δm * a for any portion of the rope with mass Δm
If any portion of the rope is accelerated, the person attached to the rope must be accelerated
Can you show me how to do this
Answer: C. 12
Weight= mass* gravity. Were going to have to do the inverse operation
Mass= weight/gravity^2. So were going to divide.
120/9.81 = 12.2324159021 or 12.
Explanation: Hope this helps!! :D Mark me Brainliest :D
the magnification produced by a converging lens is found to be 3.2 for an object placed 17 cm from the lens. what is the focal length of the lens? answer in units of cm.
The focal length of the lens is approximately 12.95 cm (rounded off to two decimal places).
According to the formula for magnification, the ratio of the image distance to the object distance is equal to the magnification (m):m = - di/doWhere,di is the image distance.do is the object distance.We are given, magnification (m) = 3.2Object distance, do = - 17 cm (the object is placed before the lens).
Therefore, the image distance can be found as:di = m * do = 3.2 * (-17) = -54.4 cm (the negative sign indicates that the image is formed behind the lens).Now, we can use the lens formula to find the focal length of the lens. According to the lens formula,1/f = 1/do + 1/diwhere, f is the focal length of the lens
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A 127 kg horizontal platform is a uniform disk of radius 1.89 m and can rotate about the vertical axis through its center. A 63.5 kg person stands on the platform at a distance of 1.15 m from the center, and a 27.7 kg dog sits on the platform near the person 1.41 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.
The moment of inertia of this system, consisting of the platform and its population, with respect to the axis, is 274.75 kg-m².
I(disk) = M R²/2,
Where M is the mass of the disk and R is the radius.
I(person) = M₁ R₁²,
I(dog) = M₂ R₂²,
The total moment of inertia of the system is the sum of these individual contributions:
Total moment of inertia = MR² /2 + m₁ R₁²+ m₂R₂²
Total moment of inertia = 129 X 1.51² /2 + 67.5 X 1.09² + 25.3 X 1.37²
Total moment of inertia= 274.75 kg-m²
The moment of inertia of this system, consisting of the platform and its population, with respect to the axis, is 274.75 kg-m².
To know more about the moment of inertia:
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A science teacher ran a marathon. After the race she showed her students the silver blanket she was given to keep her warm.A group of students investigated how the colour of the blanket affected how much infrared radiation is absorbed.
Plan an investigation
Answer:
the foiley like color doesn't absorb the heat it bounces off of it. it would be much better to have a black blanket