The time of contact is 0.007 seconds, and the mallet was in contact with the ball for 0.007 seconds. A wooden ball with a mass of 0.45 kg is at rest when it is tapped by a wooden mallet that applies an average force of 83 N to the ball. After contact with the mallet, the ball moves forward at 1.3 m/s.
When a wooden ball with a mass of 0.45 kg is at rest and it is tapped by a wooden mallet that applies an average force of 83 N to the ball. The ball moves forward at 1.3 m/s, the velocity after the impact. This implies that the ball has experienced an acceleration.
To determine the time of contact between the mallet and the ball, we can use the formula for impulse provided as; I = F * t where I is the impulse, F is the force and t is the time of contact.
We know that impulse is equal to the change in momentum of the ball. And it can be calculated using the formula provided as ;I = m * Δv where m is the mass of the ball and Δv is the change in velocity. From the above formulas,
I = m * ΔvI
= 0.45 * (1.3 - 0)I
= 0.585 Ns
Now we can determine the time of contact using the impulse formula provided earlier as; I = F * t0.585
= 83 * tt
= 0.007 seconds
Therefore, the time of contact is 0.007 seconds, and the mallet was in contact with the ball for 0.007 seconds.
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At what degree is the Equator
located on the globe?
Answer:
0 degrees latitude
Explanation:
At 0 degrees latitude, the Equator is an invisible line that circles the Earth's center.
The Physics of Energy | 1st Edition Chapter 31, Problem 1P Compute the pressure at a depth Z below the surface in a reservoir behind a hydroelectric dam. Compute the work done by a volume of water as it passes from this pressure on one side of a turbine to essentially zero pressure on the other side. Show that this analysis yields the same formula (31.2)[P = e * dV/dt = rho * g * Z * e * Q] for the power output as the energy analysis presented in §31.1.1.
The analysis using pressure and work yields the same formula for power output as the energy analysis presented in §31.1.1.
To compute the pressure at a depth Z below the surface in a reservoir behind a hydroelectric dam, we can use the formula for hydrostatic pressure: P = rho * g * Z, where rho is the density of water, g is the acceleration due to gravity, and Z is the depth below the surface.To compute the work done by a volume of water as it passes from this pressure on one side of a turbine to essentially zero pressure on the other side, we can use the formula for work: W = P1 * V1 - P2 * V2, where P1 and P2 are the pressures on either side of the turbine, and V1 and V2 are the volumes of water on either side.We can substitute the expression for P1 in terms of Z and simplify the expression to obtain: W = rho * g * Z * e * Q, where e is the efficiency of the turbine and Q is the volume flow rate of water through the turbine.This expression for work is the same as the formula for power output presented in §31.1.1, which is P = e * dV/dt, where dV/dt is the rate of change of volume flow rate with time. By equating the two expressions for work and power output, we obtain the formula for power output in terms of pressure and volume flow rate: P = rho * g * Z * e * Q. Therefore, the analysis using pressure and work yields the same formula for power output as the energy analysis presented in §31.1.1.For more such question on power
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a discrete unit of energy required for an electron to jump to a different energy level is called.
A discrete unit of energy required for an electron to jump to a different energy level is called a quantum or a photon.
In atomic and molecular systems, electrons exist in specific energy levels. When an electron absorbs or emits energy in the form of a photon, it transitions between these levels.
This energy exchange occurs in quantized amounts, meaning that electrons can only occupy distinct, fixed energy levels rather than a continuous range.
The energy difference between levels is often denoted by the Planck's constant (h) multiplied by the frequency (ν) of the emitted or absorbed photon (E = hν). This quantization is a fundamental concept in quantum mechanics, and it helps explain various atomic and molecular phenomena.
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Damron Inc. Wants to purchase a shear for their sheet metal shop and chooses dimensions of cost, reliability, and flexibility as critical to their long term success. They evaluate three different shears and rate their performance on each criterion on a scale from 1 (poor) to 5 (excellent). What is the value index for the shear made by Belsky Manufacturing? Dimension Importance Belsky Mfg. Reber Ind. Floyd Co. Cost 4 1 5 3 Reliability 2 5 2 1 Flexibility 3 3 3 4 A. 23 B. 81 C. 18 D. 9
Rate the effectiveness of four different shears on a scale of 1 to 10 for each category. Reber thinks that the shear should be bought.
Describe flexibility.Flexibility is the term used to describe a joint's or a collection of joints and muscles' ability to move through a range of motion efficiently painlessly.
Flexibility is the capacity to swiftly and collectedly adapt to brief change, enabling you to successfully handle unforeseen issues or duties. Here are some instances of what you could do: Offer to help another team member if you see them to be overworked.
Flexibility in the workplace refers to the capacity to quickly adjust to novel situations as they emerge. A flexible worker can alter their plans to deal with or get around unexpected challenges.
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Using 3. 0 times 10exponent 8 m/s find the mass equivalent,in kg ,if the energy released Is 2,800000J. Round you anwser to the nearest tenth
The mass equivalent, in kg, of an energy of 2,800,000 J released at a speed of 3.0 x 10^8 m/s is approximately 0.0 kg. This result is not physically meaningful and may indicate an error in the calculation or the given values.
The mass-energy equivalence is given by Einstein's famous equation:
E = mc^2
where E is the energy, m is the mass, and c is the speed of light.
We can rearrange this equation to solve for m:
m = E / c^2
Substituting the given values, we have:
m = 2,800,000 J / (3.0 x 10^8 m/s)^2
m = 2,800,000 J / 9.0 x 10^16 m^2/s^2
m = 3.111 x 10^-8 kg
Rounding this to the nearest tenth, we get:
m ≈ 0.0 kg
Mass equivalent refers to the concept in physics that mass and energy are equivalent and interchangeable, as expressed in Albert Einstein's famous equation E=mc². This equation shows that the energy (E) of an object is equal to its mass (m) times the speed of light squared (c²). In other words, energy and mass are two forms of the same thing, and a certain amount of energy can be converted into an equivalent amount of mass, and vice versa. This concept is important in many areas of physics, including nuclear physics and particle physics.
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In many locations, old abandoned stone quarries have become filled with water once excavating has been completed. While standing on a 10.0 m high quarry wall, Clarence tosses a piece of granite into the water below. If Clarence throws the rock horizontally with a velocity of 3.0 m/s how far out from the edge of the cliff will it hit the water?
Answer:
Explanation:
Let us calculate the time of flight first using the formula;
Velocity = Displacement/Time
Time = Displacement/speed
Time = 10.0/3
Time = 3.33secs
Next is to calculate how far out from the edge of the cliff it will hit the water. To get that, we will use the equation of motion;
S= ut+1/2gt²
u is the initial velocity = 0m/s
g is the acceleration due to gravity = 9.81m/s
S = 0 + 1/2(9.81)(3.33)²
S = 4.905*3.33*3.33
S = 54.39m
Hence it will hit the water at 54.39m from the edge of the cliff
Answer:
It will hit the water at \(4.28m\) off the cliffExplanation:
Applying kinematic relations along vertical direction
\(y = V_0t + \frac{1}{2}a_yt^2\)
where,
\(a_y = g\)
therefore,
\(y = 0 + \frac{1}{2}gt^2\)
The time taken
\(t = \sqrt{\frac{2y}{g}}\\\\t = \sqrt{\frac{2*10}{9.8}}\\\\t = 1.428s\)
The horizontal distance
\(x = V_yt\\\\x = 3*1.428\\\\x = 4.28m\\\\\)
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A positive charge of 6.0 × 10-4 c is in an electric field that exerts a force of 4.5 × 10-4 n on it. what is the strength of the electric field? startfraction n over c endfraction
The strength of the electric field will be 0.75 NC⁻¹.
What is the strength of the electric field?The strength of the electric field is the ratio of electric force per unit charge. Its unit is NC⁻¹.
The given data in the problem is;
q is the positive charge = 6.0 × 10-4 C
F is the electric force of 4.5 × 10-4 N
E is the electric field intensity=?
The electric force is given by;
\(\rm F= q \times E \\\\ \rm E= \frac{F}{q} \\\\ \rm E= \frac{4.5 \times 10^4}{6 \times 10^{-4}} \\\\ \rm E=0.75 \ NC^{-1}\)
Hence the strength of the electric field will be 0.75 NC⁻¹.
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1) why is star formation more likely to occur in cold molecular clouds than in regions where the temperature of the interstellar medium is several hundred thousand degrees?
Colder clouds are less resistant to gravity and therefore can collapse more easily because pressure is greater in heat & lower in cold stuff.
What is temperature explain?Temperature is a unit used to represent hotness or coolness on any of a number of scales, include Fahrenheit and Celsius. Temperature shows the direction of spontaneous heat transfer, which is from a region of high temperature to a cooler body.
What temperature is too hot for humans?People frequently cite a 2010 study that concluded the highest limit of safety would be a humid temperature of 35 C, or 95 F at 100% humidity or 115 F at 50% humidity.
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a circular coil with a radius of 0.11 m and 13 turns is rotated in a uniform magnetic field of 1.5 t. the coil rotates with a constant frequency of 1.3 hz. determine the maximum value of the emf induced in the coil. answer in units of v.
The maximum value of the electromotive force (emf) induced in the coil can be determined using the formula: emf = N * A * B * ω * sin(θ)
where:
N = number of turns in the coil
A = area of the coil
B = magnetic field strength
ω = angular frequency
θ = angle between the magnetic field and the normal to the coil
Given:
N = 13 turns
A = π * r^2 (area of a circle)
r = 0.11 m (radius of the coil)
B = 1.5 T (magnetic field strength)
ω = 2π * f (angular frequency)
f = 1.3 Hz (frequency)
Substituting the given values into the formula:
emf = 13 * π * (0.11^2) * 1.5 * 2π * 1.3 * sin(θ)
Since the problem does not specify the angle θ, we assume that the coil is initially aligned perpendicular to the magnetic field, which means sin(θ) = 1.emf = 13 * π * (0.11^2) * 1.5 * 2π * 1.3 * 1
Calculating the value:emf ≈ 0.989 V (rounded to three decimal places)
Therefore, the maximum value of the emf induced in the coil is approximately 0.989 V.
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How are solar flares different from solar prominences.
Answer:
What is the difference between a prominence and a solar flare? A prominence is a loop of cool incandescent gas that extends above the photosphere. A solar flare is an explosive release of energy that comes from the sun and causes magnetic ditrubances.
Explanation:
Bodily injury due to slips and falls is considered a physical hazard from conditions involving:
Bodily injury due to slips and falls is considered a physical hazard from conditions involving: surface residues.
Causes of InjuryIn general, injuries can be caused by:
Accidents and trauma, such as falls or hard knocks. Not warming up properly before exercising. Using inappropriate equipment or improper technique while exercising. Too push yourself (excessive exercise). Almost any part of the body can be injured, including muscles, bones, joints, and connective tissue (tendons and ligaments). The ankles and knees are particularly susceptible to injury.Learn more about bodily injury at
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Which of the following best defines energy?
the ability to do work
the resistance to motion
how fast an object moves
amount of force in a given time
Answer:
The Ability to do work
Explanation:
energy is needed to do work because without energy no work can be done due to the fact that there is no energy
A battery powered flashlight: Begins as
energy
energy and transforms into
Answer:
Explanation:
It starts out as chemical potential energy and when the switch is turned on, the chemical energy is transformed into electrical energy.
potential chemical energy
electrical energy.
what is force? Give it's SI unit
Answer:
Force is an external agency that changes or tries to change the position of the body.
Its SI unit is Newton (N).
2.Calcular el flujo magnético a través de una bobina con 460 espiras de 2 m² de superficie cuyo eje forma un ángulo de 60° con un campo magnético uniforme de 2 .
El flujo magnético a través de una bobina con 460 vueltas de superficie de 2 m² cuyo eje forma un ángulo de 60 ° con un campo magnético uniforme de 2 es 779.42 Weber
La fórmula para calcular el flujo magnético a través de una bobina se expresa como:
\(\phi = NABsin\theta\) dónde:
N es el número de vueltas A es el área de la sección transversal B es el campo magnético es el ángulo formado con el campo uniforme
Dados los siguientes parámetros
N = 450 turns
A = 2 m²
B = 2
\(\theta\) = 60degrees
Sustituya los parámetros dados en la fórmula como se muestra:
\(\phi=450 \times 2\times 2sin60^0\\\phi = 900sin60^0\\\phi = 900(0.8660)\\\phi=779.42Weber\)
El flujo magnético a través de una bobina con 460 vueltas de superficie de 2 m² cuyo eje forma un ángulo de 60 ° con un campo magnético uniforme de 2 es 779.42 Weber
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The pigments of chloroplasts absorb blue and red light most effectively, and transmit or reflect green light, which is why leaves appear green.
Chloroplast pigments like chlorophyll are highly effective in absorbing blue and red light. They transmit or reflect green light, which causes the leaves to seem green to our eyes because it has been returned to us.
Photosynthesis relies on plant chloroplasts. Chlorophylls transform light energy into chemical energy. Chlorophylls absorb blue and red light. Chlorophyll pigments in chloroplasts absorb blue and red light. These wavelengths match the peak absorption spectra of chlorophyll a and b, the primary plant chlorophylls. These photons fuel photosynthetic reactions.
Chlorophylls absorb little green light, and chloroplasts reflect a lot of it. Green leaves are green because green light is transmitted or reflected back to our sight. Thus, when white light (which comprises all colours of light) hits a leaf, the chloroplasts absorb blue and red light efficiently while transmitting or reflecting green light, giving the leaf its green colour. Leaves are green because chloroplast pigments selectively absorb and reflect light.
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A light wave has a frequency of 5 x 108. What is the wavelength of the light wave? (Assume the speed of light to be 3 x 108.)
Answer:
Wavelength of light wave = 0.6 m
Explanation:
Given:
Frequency of wave = 5 x 10⁸
Speed of light = 3 x 10⁸ m/s
Find:
Wavelength of light wave
Computation:
The size of a wave form is its spatial duration, or the duration in which the wave's form repeats.
Wavelength of light wave = Speed of light / Frequency of wave
Wavelength of light wave = [3 x 10⁸] / [5 x 10⁸]
Wavelength of light wave = 0.6 m
which of the following is not a petroleum product
a. rayon clothing
b. a candle
c. petrochemicals
d. wool
Answer:
wool
Explanation:
Wool comes from sheep. Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.
Which form of electromagnetic radiation has a wavelength of 10-7 nanometers?
a. Gamma rays
b. Infrared
c. Ultraviolet
d. Radio waves
The form of electromagnetic radiation that has a wavelength of 10-7 nanometers is known as Ultraviolet. Thus, the correct option for this question is C.
What is Electromagnetic radiation?Electromagnetic radiation may be defined as a type of radiation that considerably possesses both electric and magnetic fields. Apart from this, these radiations always travel in waves. Electromagnetic radiations include visible light, radio waves, gamma rays, X-rays, etc.
Among all kinds of electromagnetic radiations, gamma rays have the shortest wavelength and high frequency. While microwaves have the longest wavelength and lowest frequency. As the wavelength and frequency are inversely related to one another.
Therefore, ultraviolet radiation is a type of electromagnetic radiation that has a wavelength of 10-7 nanometers. Thus, the correct option for this question is C.
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which of the following best explains the difference between heat pumps and refrigerators? multiple choice question. heat pump is used to maintain a heated space at a high temperature, while a refrigerator is used to maintain the refrigerated space at a low temperature by removing heat. the components are the same, but the working fluid moves in the opposite direction in a heat pump when compared to a refrigerator. a heat pump moves heat from high temperature to low, while a refrigerator moves heat from low temperature to high. a heat pump produces work, while a refrigerator consumes work.
The difference between heat pumps and refrigerators lies in their intended purpose and the direction of heat transfer. A heat pump is used to maintain a heated space at a high temperature, while a refrigerator is designed to keep a refrigerated space at a low temperature by removing heat. The key distinction is that the working fluid in a heat pump moves in the opposite direction compared to a refrigerator. Additionally, a heat pump transfers heat from a high temperature area to a low temperature area, while a refrigerator does the opposite by moving heat from a low temperature area to a high temperature area.
Heat pumps and refrigerators share similar components, but their fundamental purpose and heat transfer direction differentiate them. A heat pump is primarily used for heating purposes, maintaining a heated space at a high temperature. It achieves this by extracting heat from a low-temperature source (such as outdoor air, ground, or water) and transferring it to a higher-temperature area (such as a building's interior). The working fluid in a heat pump, usually a refrigerant, circulates through a closed loop and undergoes a thermodynamic cycle. It evaporates at a low-pressure, low-temperature state in an evaporator coil, absorbing heat from the surroundings. The refrigerant is then compressed, raising its temperature and pressure. In the condenser coil, the refrigerant releases the absorbed heat to the heated space, while it condenses back into a liquid state. The cycle continues as the liquid refrigerant expands through an expansion valve, reducing its temperature and pressure, and returning to the evaporator to repeat the process.
On the other hand, a refrigerator is designed for cooling purposes, maintaining a refrigerated space at a low temperature. It operates by removing heat from the refrigerated area and transferring it to a higher-temperature location. Similar to a heat pump, a refrigerant circulates in a closed loop, but the direction of heat transfer is reversed. The working fluid begins in the evaporator coil inside the refrigerator, where it evaporates at low pressure and low temperature. During this process, it absorbs heat from the refrigerated space, causing the interior to cool down. The refrigerant then flows to the compressor, where it gets compressed, raising its temperature and pressure. In the condenser coil located outside the refrigerator, the refrigerant releases the absorbed heat to the surrounding environment, while it condenses back into a liquid state. The cycle repeats as the liquid refrigerant passes through an expansion valve, lowering its temperature and pressure, and returning to the evaporator.
In summary, the key differences between heat pumps and refrigerators lie in their purpose and the direction of heat transfer. Heat pumps are used for heating and move heat from low-temperature areas to high-temperature areas, while refrigerators are designed for cooling and move heat from low-temperature areas to high-temperature areas. Despite sharing similar components, the working fluid in a heat pump moves in the opposite direction compared to a refrigerator.
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Helen can write 15 postcards in one hour, while Kate can write
20 postcards. How much longer would Helen take to write 300
postcards than Kate?
hours
Answer:5 hours
Explanation:
300 divided by 20 = 15
300 divided by 15 = 20
the difference is 5
a gas is compressed and during this process the surroundings do 36.4 j of work on the gas. at the same time, the gas loses 242 j of energy to the surroundings as heat. what is the change in the internal energy of the gas?
By using the concept of thermodynamics, change in internal energy of gas is -205.4J.
In thermodynamics, when gas is compressed intermolecular distance between the gas molecules starts decreasing, due to that collision among the molecules starts increasing ,and system tries to achieve stability due to that it starts loosing some energy.
Now we know very well that change in internal energy(Δ U) is actually sum of heat change(Δq) from the system to surroundings and vice versa and w is the work done on/by the system to achieve stability.
So gas is releasing energy, therefore Δq= -242J
and work is done on the gas=w=36.4J
Therefore,ΔU=Δq+w
ΔU=-242+36.4
ΔU=-205.4J
Here, negative denotes change in internal energy is negative means final internal energy will be lesser than initial internal energy.
Hence change in internal energy of the gas is 205.4J
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Question 2 of 10
Which of the statements below about buoyancy is true?
A. Buoyancy pushes objects down, in the same direction as gravity.
B. Buoyancy is a force that acts on objects that are placed in a fluid.
C. All objects that experience the force of buoyancy float.
D. If the buoyant force is greater than the force of gravity, the object
will sink.
B is the one
Buoyancy or Buoyant force is the force which acts on the objects that are placed in a fluid. Thus, the correct option is B.
What is Buoyant force?
The buoyant force or buoyancy is the upward force that is exerted on an object which is fully or partially immersed in a fluid. This upward force is also called Up-thrust. Due to buoyant force, a body that is submerged in a fluid appears to lose its weight in the fluid, i.e. appears to be lighter. The factors which affect buoyant force are volume of the fluid displaced and the volume of the body that is submerged in fluid.
An example where buoyant force can be observed is a ship which is floating in the middle of the sea, an anchor that sinks when thrown in the water, and a fish which is hovering in the middle of the waterbody.
Therefore, the correct option is B.
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if you were standing on the far side of the moon, which object would you never see?
If you were standing on the far side of the moon, you would never be able to see the Earth.
The moon is tidally locked to Earth, which means that the same side of the moon always faces Earth. This is why we only ever see one side of the moon from Earth. Similarly, if you were standing on the far side of the moon, the Earth would always be blocked from view by the moon itself. So, no matter where you stood on the far side of the moon, you would never be able to see the Earth.
In addition, there are no other objects in space that would consistently block the view of the Earth from the far side of the moon. So, the only thing preventing you from seeing the Earth would be the moon itself.
Overall, standing on the far side of the moon would offer a unique and breathtaking view of the universe, but unfortunately, the Earth would not be visible from that vantage point.
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Determine the tension P in the cable which will give the 100-lb block a steady acceleration of 5 ft/sec2 up the incline
Answer: The tension in the cable that will give the 100-lb block a steady acceleration of 5 ft/sec² up the incline is 760 lb.
Explanation: We can solve this problem using Newton's second law and free-body diagrams.
First, let's draw a free-body diagram for the 100-lb block.
N
|
|
|
|
| m×g
|<--------------
|
|
|
|
|
100 lb
Here, N is the normal force exerted by the incline on the block, m is the mass of the block, g is the acceleration due to gravity, and the arrow pointing down represents the weight of the block.
Next, let's draw a free-body diagram for the pulley.
|<----P---->|
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
O |
Here, P is the tension in the cable, and O is the center of the pulley.
Since the block is accelerating up the incline, there must be a net force in the upward direction. Using Newton's second law, we can write:
F_net = m×a
where F_net is the net force acting on the block, m is the mass of the block, and a is the acceleration of the block.
The only forces acting on the block are the weight (mg) and the component of the normal force parallel to the incline (Nsinθ). Using trigonometry, we can write:
Nsinθ = mg×sinθ
The net force in the x-direction is given by:
F_net = P - mgsinθ
Using the equation F_net = m×a and substituting the values given in the problem, we get:
P - mgsinθ = m×a
Substituting the given values of m, g, sinθ, and a, we get:
P - (100 lb)(32.2 ft/s² )(0.6) = (100 lb)×(5 ft/s² )
Simplifying and solving for P, we get:
P = (100 lb)(5 ft/s² ) + (100 lb)(32.2 ft/s² )*(0.6)
P = 760 lb
Therefore, the tension in the cable that will give the 100-lb block a steady acceleration of 5 ft/sec² up the incline is 760 lb.
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A white disc speeds up with tangential acceleration a at a distance r from its center. A black disc has a tangential acceleration of 3a at a distance 2r from its center. How does the angular acceleration of the white disc a white compare with the black disc ablack? Choose 1 answer: A B D awhite = awhite = awhite = Owhite 1 6 2 3 ablack ablack 3 2 ablack 6αblack
Answer:
b
Explanation:
trust me
Answer:
Its B
Explanation:
assume that you do not know a priori, the moment of inertia of the hollow cylinder. mathematically show how you could determine its value from exercise 1 results, assuming you do know the value of the moment of inertia of the solid disk.
We can then solve for the moment of inertia using the known mass, height, and inner and outer radii of the hollow cylinder and compare this value to the moment of inertia of a solid disk that we do know to see how they differ.
To determine the moment of inertia of the hollow cylinder, assuming we do not know its value beforehand, we can make use of the moment of inertia of the solid disk that we do know. First, we need to calculate the moment of inertia of the solid disk about its central axis. This can be done using the formula:
I_disk = (1/2) * M * R²
where M is the mass of the disk and R is its radius.
Next, we need to measure the time taken for the hollow cylinder to roll down an inclined plane of known height and calculate its angular velocity at the bottom of the incline. Let's call this angular velocity ω.
Using the principle of conservation of energy, we can equate the potential energy at the top of the incline to the kinetic energy at the bottom of the incline:
M * g * h = (1/2) * I_cylinder * ω²
where M is the mass of the hollow cylinder, g is the acceleration due to gravity, h is the height of the incline, and I_cylinder is the moment of inertia of the hollow cylinder that we want to find.
We can rearrange this equation to solve for I_cylinder:
I_cylinder = 2 * M * g * h / ω²
Now, we can substitute the value of ω that we just measured into this equation and solve for I_cylinder. But we still need to relate I_cylinder to I_disk, the moment of inertia of the solid disk.
Luckily, we know that the moment of inertia of a hollow cylinder of mass M, inner radius r, and outer radius R is given by:
I_cylinder = (1/2) * M * (R² + r²)
So, if we can measure the inner and outer radii of the hollow cylinder, we can substitute these values into this equation and solve for I_cylinder. Then, we can compare this value to the moment of inertia of the solid disk that we calculated earlier and see how they differ.
In summary, to determine the moment of inertia of a hollow cylinder when we don't know it beforehand, we need to measure the time taken for it to roll down an incline, calculate its angular velocity at the bottom, and relate this velocity to the potential energy at the top of the incline. We can then solve for the moment of inertia using the known mass, height, and inner and outer radii of the hollow cylinder. Finally, we can compare this value to the moment of inertia of a solid disk that we do know to see how they differ.
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An elevator car has two equa masses, m, attached to the ceiling as shown. the elevator ascends with an acceleration of magnitude a.
a. what are the tensions in the two cords in terms of m, a, and g?
b. If a is increased until one cord breaks will it be the upper or lower cord? c. What are tensions if the cable attached to the top of the elevator car snaps? (Use the following as necessary: m and g.)
The tensions in the two cords are: T1 = m(a + g) upward T2 = m(a + g) upward. If the acceleration is increased until one cord breaks, it will be the lower cord that breaks. In this case, the tension in each cord would be: T1 = m(g + a) downward T2 = m(g + a) downward.
a. The tensions in the two cords can be found using Newton's second law, which states that the net force on an object is equal to its mass times its acceleration. In this case, each mass is subject to two forces: its weight (mg) pulling downward and the tension in the cord pulling upward. Since the elevator is accelerating upwards, the net force on each mass is (ma + mg) upward. Therefore, the tensions in the two cords are:
T1 = m(a + g) upward
T2 = m(a + g) upward
b. If the acceleration is increased until one cord breaks, it will be the lower cord that breaks. This is because the tension in the lower cord is supporting more weight (m*g) than the tension in the upper cord (which is only supporting the weight of the upper mass).
c. If the cable attached to the top of the elevator car snaps, both masses will fall with an acceleration of g. In this case, the tension in each cord would be:
T1 = m(g + a) downward
T2 = m(g + a) downward
Note that the tensions are now pointing downward because they are no longer supporting the weight of the masses, but instead are trying to slow their fall.
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¿Que le ocurre a un folículo después de liberar a un ovulo?
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Why would electricity not flow through christmas lights if one of hem is broken?
Electricity does not flow through broken Christmas lights because a break in the circuit interrupts the flow of electrons, preventing the completion of the electrical path.
Christmas lights are typically wired in series, which means that they are connected in a continuous loop where the current flows through each bulb. When one bulb in the series is broken or burnt out, it creates an open circuit. An open circuit means that there is a gap or break in the pathway for the electricity to flow.
In a functioning circuit, the flow of electricity relies on a continuous loop where electrons move from the power source through the wires and bulbs, and back to the power source. However, when a bulb is broken, the circuit is interrupted at that point, and the electrons cannot continue their path.
This break in the circuit acts as a barrier, preventing the flow of electricity beyond that point. As a result, the remaining bulbs downstream from the broken one will not receive any electrical current, and they will not light up. To restore the flow of electricity, the broken bulb needs to be replaced or fixed, allowing the circuit to close and completing the pathway for the current to flow through the Christmas lights once again.
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