The magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.
Convert the angular speed from revolutions per minute (rpm) to radians per second (rad/s).
1 revolution = 2π radians
ω = 3800 rev/min * (2π rad/rev) / (60 s/min) = 398.11 rad/s
[tex]\theta=\omega i t + (1/2)\alpha t^2[/tex]
where θ is the angular displacement, ω_i is the initial angular velocity, α angular acceleration, t time.
At the instant the centrifuge is switched off, its angular speed is 398.11 rad/s. Angular displacement is 48 revolutions * 2π radians/revolution = 301.59 radians.
[tex]\omega f = \omega i +\alpha t[/tex]
[tex]0 = -398.11 + \alpha t[/tex]
[tex]t = 398.11/\alpha[/tex]
[tex]θ = \omega_i t + (1/2)\alpha t^2[/tex]
[tex]301.59 = (-398.11)(398.11/\alpha) + (1/2)α(398.11/\alpha)^2[/tex]
Simplifying this equation, we get:
[tex]301.59 = -398.11^2/\alpha + 398.11^2/2\alpha[/tex]
Multiplying both sides by 2α and rearranging, we get:
[tex]\alpha = 2 * 398.11^2 / (301.59 + 398.11^2/\alpha)[/tex]
Solving for α, we get:
[tex]\alpha = 3.78 rad/s^2[/tex]
Therefore, the magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.
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what do we see when white light passes through a cool cloud of gas? (a) visible light (b) infrared light (c) thermal radiation (d) an absorption line spectrum (e) an emission line spectrum 3 pt: in no more than one sentence, explain how this relates to the absorption features seen in the solar spectrum.
We observe an absorption line spectrum when white light travels through a cold cloud of gas.
What do you observe when a white light traverses a chilly gas cloud?The atmosphere's gas scatters some of the light at particular wavelengths, resulting in darker bands. When common materials were heated, light waves that later came to be known as "spectral lines" were produced and recorded.
What kind of spectra are created when light travels through a gas cloud?Spectrum of Absorption: Part of the starlight that travels through a cloud of gas is absorbed while some of it is transmitted through the gas. T Depending on which elements are involved, different light wavelengths are absorbed.
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An object in a fluid is being pushed back up to the surface where it will float.
Which of the following diagrams shows the forces acting on the object?
Remember, the length of the arrow shows the strength of the force.
Option C. The buoyant force will be greater than the gravitational force, causing the object to rise.
What are the forces acting on the object?
When an object is submerged in a fluid and is being pushed back up to the surface, there are several forces acting on it. These forces are:
Buoyant force: This force is the upward force exerted by the fluid on the object. It is equal to the weight of the fluid displaced by the object and is directed opposite to the gravitational force.
Gravitational force: This force is the downward force exerted on the object due to gravity. It is equal to the weight of the object and is directed towards the center of the earth.
Drag force: This force is the resistance that the fluid exerts on the object as it moves through it. It is directed opposite to the velocity of the object and is proportional to the velocity squared.
Surface tension: This force is the cohesive force that exists between the molecules on the surface of the fluid. It acts perpendicular to any line tangent to the surface of the fluid and is dependent on the properties of the fluid and the object's surface.
In the case of an object being pushed back up to the surface of the fluid, the buoyant force will be greater than the gravitational force, causing the object to rise. The drag force and surface tension may also play a role in the motion of the object, but their effects will depend on the specific conditions of the fluid and the object.
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2. A weight lifter lifts a set of weights a vertical distance of 2.00 m. If a con-
stant net force of 350 N is exerted on the weights, what is the net work done
on the weights?
The work done by the weightlifter which covers a distance of 2 m and a constant net force of 350 N is 700 Joules.
What is Work done?The work done by a force is the product of the displacement of object and the component of applied force of the object in the direction of displacement of the object. When we push a block with some force 'f', then the body moves with some amount of acceleration, and work is done.
The force exerted to lift the weight, F is 350 N
The work done by the body is defined as the product of the force applied by the body to the displacement it caused.
W = F x s
W = 350 N x 2 m
W = 700 J
The work done by the weightlifter, W = 700 J
The time taken by the weightlifter to lift the weight, t = 2 s
The power is given by the equation,
P = W / t
P = 700 J / 2 s
P = 350 watts
Hence, the power of the weightlifter, P = 350 watts.
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A slanting line was obtained on plotting the displacment-time graph of an object. The object is in ____________ motion.
Answer:
Uniform Motion
Explanation:
When an object travels equal distances (in this case displacement) in equal intervals of time, it is said to be in uniform motion.
If a flea can jump straight up to a height of 0.350 m, what is its initial speed as it leaves the ground?
Answer:
To solve this problem, we can use the fact that the flea's initial kinetic energy is converted entirely into potential energy at the top of the jump. Using conservation of energy, we can set the initial kinetic energy equal to the potential energy at the maximum height:
(1/2)mv^2 = mgh
where m is the mass of the flea, v is its initial velocity, g is the acceleration due to gravity, and h is the maximum height of the jump.
We can solve for v:
v = sqrt(2gh)
where we substitute the given values:
v = sqrt(29.8 m/s^20.350 m) ≈ 2.65 m/s
So the flea's initial speed as it leaves the ground is approximately 2.65 m/s.
Explanation:
. The air bubble formed by explosion inside water perform oscillations with time period, T which depends on pressure (P) density (p) and on energy due to explosion (E). establish the relation between T, P, E and p
The time period of oscillations of an air bubble formed by an explosion inside water depends on the pressure (P), density (p), and energy due to explosion (E). The relationship between these factors can be established using the principles of fluid mechanics and the equations for pressure, density, and energy.
The pressure of a gas inside a bubble is related to its volume and temperature, and can be described by the Ideal Gas Law:
P = (nRT)/V
where n is the number of moles of gas, R is the gas constant, T is the temperature, and V is the volume of the gas.
The density of a fluid is related to its mass and volume, and can be described by the equation:
p = m/V
where m is the mass of the fluid and V is its volume.
The energy due to the explosion can be described by the equation:
E = (1/2)mv^2 + P_0V_0 - P_fV_f
where m is the mass of the gas, v is its velocity, P_0 and V_0 are its initial pressure and volume, and P_f and V_f are its final pressure and volume.
By combining these equations and using the principles of fluid mechanics, it is possible to establish a relationship between the time period of the oscillations (T), pressure (P), energy due to the explosion (E), and density (p). However, the exact relationship will depend on the specific conditions of the explosion and the fluid in which it occurs.
________________________________________________________
The full range of frequencies of electromagnetic radiation is called
A. Visible light
B. Radio waves
C. The electromagnetic spectrum
D. Invisible radiation
The full range of frequencies of electromagnetic radiation is called the electromagnetic spectrum. So, the correct answer is C.
The electromagnetic spectrum includes all types of electromagnetic radiation, including visible light, radio waves, microwaves, infrared radiation, ultraviolet radiation, X-rays, and gamma rays. Each type of electromagnetic radiation has a different frequency and wavelength, and they all travel at the speed of light in a vacuum. Each type of electromagnetic radiation has a unique wavelength and frequency, which determine its properties and the way it interacts with matter. Radio waves have the longest wavelength and the lowest frequency in the electromagnetic spectrum, followed by microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
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A natural-gas pipeline with a diameter of .220 m delivers 1.44 m^3 of gas per second. What is the flow speed of the gas?
A natural-gas pipeline with a diameter of .220 m .The pipeline's gas flows at a speed of approximately 38.00 m/s.
How can the gas's speed be determined?We need to divide the gas's volume flow rate by the pipeline's cross-sectional area to determine the gas's flow speed in the pipeline. The given volume flow rate is 1.44 m3/s. The following formula can be used to determine the pipeline's cross-sectional area:
A = π × r²
A is the cross-sectional area
π is approximately equal to 3.14
r is the radius of the pipeline (half of the diameter)
Substituting the diameter of the pipeline into the formula for the radius:
r = d / 2
r = 0.220 m / 2
r = 0.110 m
A = π × r²
A = 3.14 × (0.110 m)²
A = 0.0381 m²
Now that we have the cross-sectional area of the pipeline, we can divide the volume flow rate by the area to find the flow speed:
v = Q / A
v = 1.44 m³/s / 0.0381 m²
v = 38.00 m/s
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The law of conservation of energy:
a. states that energy can neither be created nor destroyed.
b. states that energy can neither be created nor destroyed and cannot change from one form to another.
c. states that energy cannot be created or destroyed, but it can be changed from one form to another.
The law of conservation of energy states that energy cannot be created or destroyed, but it can be changed from one form to another. Therefore, option c is the correct answer.
explain about law of conservation of energy ?
This law is one of the most fundamental principles of physics and states that the total amount of energy in a closed system remains constant over time, even though it may be transformed from one form to another (such as from potential to kinetic energy).
This law is based on numerous observations and experiments, and it has important implications for understanding the behavior of physical systems, including the ability to predict the outcomes of many physical processes.
The law of conservation of energy states that energy cannot be created or destroyed, but it can be changed from one form to another. Therefore, option c is the correct answer.
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a constant friction force of 30 n acts on a 60 kg skier for 20 s. what is the skier's change in velocity?
The skier's change in velocity is 10 m/s.
To calculate the change in velocity of the skier, we can use the equation for average force:
F = m * a
where F is the force, m is the mass, and a is the acceleration. We can rearrange this equation to solve for the acceleration:
a = F / m
We can then use the equation for average acceleration:
a = (vf - vi) / t
where vf is the final velocity, vi is the initial velocity, and t is the time. We can rearrange this equation to solve for the change in velocity:
vf - vi = a * t
Substituting the known values into these equations, we get:
a = F / m = 30 N / 60 kg = 0.5 m/s²
vf - vi = a * t = 0.5 m/s² * 20 s = 10 m/s
Therefore, the skier's change in velocity is 10 m/s. Note that the direction of the change in velocity is opposite to the direction of the friction force.
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PLEZS HELP I DON'T GET IT WILL MARK BRANILEST FOR THE BEST ANSWER :) Imagine that you were flying a small aircraft alone and had to
make an emergency landing in the forest below. Being the
amazing pilot that you are, you land safely, but your aircraft
is badly damaged and will not fly. It will be several days before
help can make it out to you, and you only have five items in
your emergency survival kit.
Would you rather land in a taiga or a temperate coniferous
forest? Why? What would you want in your survival kit and why?
What would you need from the forest to survive? What would the
dangers be?
Write your response in complete sentences.
can somebody help asap please
The value of the resistance r is 20.25 ohms.
What is the value of the resistance r?The value of the resistance r is calculated by applying Ohm's law as shown below.
Ohm's law states that the current flowing in a circuit is directly proportional to the voltage across the circuit.
V = IR
where;
V is the voltageR is the resistanceI is the currentP = IV
I = P / V
I = ( 32 W ) / ( 24 V + 12 V )
I = 0.889 A
R = V/I
R = ( 24 + 12 ) / ( 0.889 A )
R = 40.5 ohms
The value of each resistance, r is calculated as;
r = 40.5 ohms / 2
r = 20.25 ohms.
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advantages and disadvantages of being firstborn
Answer:
Advantages of being firstborn:
Increased attention and nurturing from parents, as they are often more invested in the success of their first child.Higher levels of academic and intellectual stimulation, as parents may provide more resources and opportunities for learning.Greater responsibility and maturity, as the firstborn often has to help care for younger siblings and take on leadership roles in the family.Disadvantages of being firstborn:
Increased pressure to set a good example, both academically and behaviorally, for younger siblings.Less individual attention from parents as more children are born and added to the family.More conflict with younger siblings as the firstborn may feel resentment about having to share resources and attention.A lack of opportunities for leadership and responsibility later in life, as younger siblings may fill these roles.Explanation:
Answer:
Advantages and disadvantages of being firstborn
Explanation:
Advantages of being a firstborn include having higher self-esteem and academic achievements, being seen as more responsible, and receiving extra attention from parents.
Disadvantages of being a firstborn include the pressure to live up to high expectations and the possibility of feeling resentful that their younger siblings get more freedom.
An 420 kg car accelerates from 0 to 50 m/s^2 in 4.3 s.
What is the acceleration of the car and what is the force produced by the
car?
The acceleration of the car is [tex]11.63 m/s^2.[/tex] The force produced by the car is 4,876.4 Newtons.
How to calculate the force and acceleration?
To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:
acceleration = (50 m/s - 0 m/s) / 4.3 s =[tex]11.63 m/s^2[/tex]
Therefore, the acceleration of the car is[tex]11.63 m/s^2.[/tex]
To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:
force = mass x acceleration
In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:
[tex]force = 420 kg \times 11.63 m/s^2 = 4,876.4 N[/tex]
Therefore, the force produced by the car is 4,876.4 Newtons.
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a wire carries a current of 60 ma. how many electrons have to pass a given point in the wire in 3.00s to produce this current?
Approximately 1.12 x 10^18 electrons would have to pass through the given point in a wire in 3.00 seconds to produce a current of 60 mA.
What are electrons?Electrons are subatomic particles that have a negative charge and are fundamental components of atoms. They are located in shells or orbitals around the atomic nucleus and play a crucial role in many physical and chemical processes.
Electrons are the carriers of electric charge in materials and are responsible for the flow of current in electrical conductors. They also play a key role in chemical bonding and reactions, as they are involved in the sharing and transfer of electrons between atoms.
Electrons are extremely small and have a mass of approximately 9.11 x 10^-31 kilograms, which is about 1/1836th the mass of a proton.
To determine the number of electrons that pass through a given point in a wire, we can use the equation:
I = Q/t
where I is the current in amperes, Q is the charge in coulombs, and t is the time in seconds.
We can rearrange this equation to solve for the charge Q:
Q = I*t
Now, use the elementary charge of an electron, which is approximately 1.602 x 10^-19 coulombs, to calculate the number of electrons that pass through the wire in 3.00 seconds:
Q = (60 mA) * (3.00 s) = 0.18 C
Number of electrons = Q / e = 0.18 C / (1.602 x 10^-19 C/e) = 1.12 x 10^18 electrons
Therefore, approximately 1.12 x 10^18 electrons would have to pass through the given point in the wire in 3.00 seconds to produce a current of 60 mA.
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vision is blurred if the head is vibrated at 29 hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket.
There is some scientific evidence to suggest that vibration at certain frequencies can affect visual perception, but the claim that vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket is not entirely accurate.
What is Eyeball resonance and vision?According to the concept of "eyeball resonance," the eyeball can vibrate at specific frequencies as a result of the tension in the muscles around it, and these vibrations can affect vision. Generally speaking, the natural frequency of the eyeball is thought to be around 20 Hz, however this frequency can change based on a number of variables, including the eyeball's flexibility and the tension of the optic nerve.
There is some evidence to support the idea that being exposed to vibration at particular frequencies can alter vision. For instance, some researchers have discovered that participants who are exposed to 25 Hz vibration may have a reduction in visual acuity, while other studies have found that those who are exposed to 10 Hz vibration may experience an increase in improve visual perception in some people.
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a scale reads 320 n when a piece of copper is hanging from it. what does it read (in n) when it is lowered so that the copper is submerged in water?
The scale will read 290.6 N when the piece of copper is submerged in water.
The Force exerted by the mass of the copper piece is 320 N according the scale reading, We know that Weight = mg where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s²). Therefore the mass of the copper piece is :
⇒Weight = mg
⇒m = Weight/g
⇒m = 320/9.8
⇒32.65 kg
Now , we know that density = mass/volume. The density of copper is 8830 kgm⁻³.
∴ Volume = mass/density
⇒ 32.65/8830
⇒ 0.003 m³
Now, Apparent weight = (Weight of the object) - (Weight of the volume of liquid displaced by the object)
Formula for buoyant force = (volume displaced) x (acceleration due to gravity) x (density of the liquid). Density of water is approximately 1000kg/m³
Therefore, Apparent weight of the copper piece :
⇒ Actual weight - Buoyant force
⇒ 320N - [1000 x 0.003 x 9.8]
⇒ 320N - 29.40N
⇒ 290.6 N
Therefore, the scale will read 290.6 N when the copper piece is submerged in water.
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The max power of an elevator is 10,000 j/s. how much time would it take the elevator to lift 500 kg 40 meters?
The force here is 4900 N for 500 kg of lift. The work done being 196000 J for 40 meters. Then time is work done divided by time. Therefore, it will take 19.6 seconds.
What is power ?Power is the rate of work done or energy. The unit of power is J/s which is equal to one watt.
P = w/t.
where W = F. ds.
Given mass = 500 kg
F = mg = 500 kg × 9.8 m/s² = 4900 N.
displacement = 40 meters.
then work done W = 4900 N × 40 m = 196000 J.
Then,
power = work done/time
10000 J/s = 196000 J/t
t = 196000/10000 = 19.6 seconds.
Therefore, the time it required to take to lift the elevator is 19.6 seconds.
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assume the system is diffraction limited. approximately how many pixels are subtended by the optical point spread function?
The number of pixels subtended by the optical point spread function (PSF) depends on several factors, including the aperture size of the optical system, the wavelength of the light, and the pixel size of the imaging sensor.
What is diffraction limited?The smallest object that an optical system is capable of resolving is known as the diffraction limit, and it depends on the size of the aperture and the length of the light's wavelength. A circular pattern roughly proportionate to the aperture diameter represents the diffraction-limited PSF.
Assuming a diffraction-limited optical system with an aperture diameter of D, the diameter of the PSF can be approximated as:
d = 1.22 * λ / D
where λ is the wavelength of the light.
If we assume that the pixel size of the imaging sensor is equal to the diameter of the PSF, then the number of pixels subtended by the PSF can be approximated as:
N = (d / p)^2
where p is the pixel size.
So, for example, if we assume a visible light wavelength of 500 nm, an aperture diameter of 50 mm (which would correspond to a large camera lens), and a pixel size of 5 µm (which is typical of many digital cameras), we can calculate:
d = 1.22 * 500 nm / 50 mm = 12.2 µm
N = (12.2 µm / 5 µm)^2 = 58 pixels
In this case, the PSF would therefore be subtended by 58 pixels approximately. This is only a very rough approximation, and the precise number of pixels covered by the PSF will vary depending on a variety of elements, such as the unique characteristics of the optical system and the imaging sensor.
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in photoelectric absorption to dislodge an inner-shell electron from its atomic orbit, the incoming x-ray photon must be able to transfer a quantity of energy:
When an x-ray photon interacts with an atom, it can transfer a quantity of energy to an inner-shell electron, thereby dislodging it from its atomic orbit.
This energy transfer is known as the photoelectric effect, or photoelectric absorption. In order for this energy transfer to occur, the energy of the incoming x-ray photon must be equal to or greater than the binding energy of the electron to its orbit. The binding energy is the amount of energy required to remove an electron from its orbital. When the energy of the incoming x-ray photon is greater than the binding energy, the extra energy is released in the form of kinetic energy, which can be used to eject the electron from its orbit. This kinetic energy is then transferred to the atom and is used to excite or ionize other electrons. Once the electron has been ejected, it is then free to travel through the atom, leaving behind a positively charged atom, or ion. This process of photoelectric absorption is essential for x-ray imaging and spectroscopy, as it allows for the detection of inner-shell electrons.
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a 30.0-kg child sits on one end of a long uniform beam with a mass 20.0 kg and a 40.0-kg child sits on the other end. the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. how long is the beam? 1.93 m 2.07 m 2.20 m 1.98 m 2.12 m
The length of beam such that the beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child is 2.07m
To calculate this, we can use the equation for moment of inertia:
We know that the M = (m1 × d1) + (m2 × d2)
Where m1 and m2 are the masses of the two children and d1 and d2 are the distances from the fulcrum to either child.
In this case, m1 = 30.0 kg, m2 = 40.0 kg, d1 = 1.10 m and d2 is the variable we are solving for.
So, we can rearrange the equation to solve for d2:
d2 = (M - (m1 × d1)) / m2
d2 = (0 - (30.0 kg × 1.10 m)) / 40.0 kg
d2 = -2.07 m
Therefore, the length of the beam is 2.07 m.
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The average person has a surface area of 1.5-2.0 m². If the person is lying on flat ground, let's assume that about 40% of the person's surface area is in contact with the ground, which would be about 0.6-0.8 m².
(a) A student with a mass of 50. kg is lying on the floor of the classroom. The area of the student that is in contact with the floor is 0.6 m². What is the pressure between the student and the floor?
(b) Mr. Bigler's bed of nails was built with approximately 3300 nails evenly spread over an area of 1.11 m². The head of each nail has an area of approximately 0.1 mm²=
1 x 10-7 m². Based on these numbers and the surface area of contact for the student
in part #6a, what is the pressure between the student and each of the nails?
(a) The pressure between the student and the floor is 817 Pa.
(b) The pressure between the student and each nail 14,848 Pa.
What is the pressure between the student and the floor?
Pressure is calculated by dividing force by area. The force exerted on the floor by the student is equal to their weight, which is the force of gravity acting on their mass.
The weight of the student can be calculated as follows:
W = mg
W = 50 kg (9.8 m/s²)
W = 490 N
So the pressure between the student and the floor can be calculated as follows:
P = F / A
P = 490 N / 0.6 m²
P = 817 Pa
To find the pressure between the student and each nail, we need to divide the student's weight by the total area of the nails' heads.
A (nails) = NA
A (nails) = 3300 x 1 x 10⁻⁷ m²
A (nails) = 0.033 m²
So the pressure between the student and each nail can be calculated as follows:
P = F / A
P = 490 N / 0.033 m²
P = 14,848 Pa
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a 159 watt motor in a bowling alley lifts an 7 kg bowling ball directly upwards at a constant speed. at what speed does the ball rise?
The speed at which the ball rises is 2.24 m/s.
What is power output?Power output refers to the amount of power that a device, machine, or system produces or generates. It is a measure of the rate at which work is done or energy is transferred, and is usually expressed in units of watts (W) or kilowatts (kW).
We can use the formula for power to find the speed at which the ball rises. The power output of the motor is given by:
Power = Work done / time taken
Since the ball is lifted at a constant speed, the work done by the motor is equal to the gravitational potential energy gained by the ball, which is given by:
Work done = mgh
where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s²), and h is the height through which the ball is lifted. The time taken to lift the ball is equal to the height of the lift divided by the speed of the lift, which is given by:
time taken = h / v
where v is the speed of the lift. Substituting these expressions into the formula for power, we get:
Power = mgh / (h/v)
Power = mgv
Solving for v, we get:
v = Power / (mg)
v = 159 W / (7 kg x 9.8 m/s²)
v = 2.24 m/s
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Two friends are playing with a toy telephone. Which of the points P,Q and R will vibrate if one of the friends speak into the cup? Justify your answer
The point that will vibrate the most when one of the friends speaks into the cup is point Q as vibration dampens and energy is lost due to friction.
In a toy telephone, sound is transmitted through a string that connects two plastic cups. When one person speaks into one cup, the sound waves vibrate the cup, which in turn vibrates the string and causes the other cup to vibrate as well.
Assuming that the string is held taut, the vibration of the cups will depend on the placement of the points P, Q, and R, as shown in the figure. If the string is not taut, the cups may not vibrate at all, or the vibrations may be too weak to transmit the sound effectively.
Point P is located at the midpoint of the string, and it will not vibrate much because the two cups are attached to it and there is no space for it to move.
Point Q is located at one end of the string, and it will vibrate the most when one of the friends speaks into the cup. This is because the cup will vibrate the string, and the vibration will be transmitted all the way to the other end of the string, where point Q is located.
Point R is located between P and Q, and it will vibrate to some extent, but not as much as point Q. This is because the vibration will be damped as it travels along the string, and some of the energy will be lost due to friction.
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Help please. Urgently need answer
The final kinetic energy of the lead bullet after the impact is 50 J.
option A.
What is the final kinetic energy of the system?
The final velocity of the lead bullet system will be used to determine their final kinetic energy after the impact.
m1u1 + m2u2 = v ( m1 + m2 )
where;
u1 and u2 are the initial velocitiesm1 and m2 are the massesv is the final velocity of the lead bullet after the impact( 0.05 x 200) + 0.95(0) = v ( 0.05 + 0.95 )
10 m/s = v
K.E_final = ¹/₂mv²
= ¹/₂ ( 0.05 + 0.95 ) (10²)
= 50 J
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What happens to the time period of a simple pendulum if the amplitude is doubled?
When producing modest swings, the amplitude frequently has no impact at all on the pendulum's period. There is a tiny but insignificant rise in the period when the pendulum's amplitude is greater.
What alter on time period pendulum if amplitude changed?The distance to travel increases as the amplitude rises, but when the restoring force rises as well, the acceleration rises correspondingly.
This implies that the mass can move faster and cover a bigger distance. Since these qualities cancel one another, amplitude has no bearing on period.
A straightforward harmonic oscillator's period is independent of its amplitude. with the graphs of acceleration and velocity produced by the time derivatives. These oscillators also show how kinetic and potential energy can be transferred.
Therefore, the length of time is unrelated to the vibration's magnitude. Time period is unchanged by doubling the oscillation's amplitude.
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the block in the image has a mass of 1.00 kg. the coefficient of static friction between the block and the inclined plane is 0.675. the plane makes an angle of 39o with the horizontal direction. what is the minimum force that can be applied to the block to keep it from sliding down the plane?
The minimum force that can be applied to the block to keep it from sliding down the plane is 6.06 N. Any force greater than this value will cause the block to move down the plane.
To find the minimum force required to keep the block from sliding down the inclined plane, we need to calculate the maximum force of static friction that can act on the block, which is equal to the force required to keep the block at rest.
The maximum force of static friction is given by:
[tex]F _{friction}[/tex] = friction coefficient x N
where N is the normal force acting on the block, which is equal to the component of the weight of the block that is perpendicular to the plane. This can be calculated as:
N = m * g * cos(theta)
where m is the mass of the block, g is the acceleration due to gravity, and theta is the angle of the plane with respect to the horizontal.
In this problem, m = 1.00 kg, g = 9.81 m/[tex]s^{2}[/tex], and theta = 39 degrees. We need to convert the angle to radians before we can use it in the equation, which gives:
theta = 39 degrees = 0.68 radians
Substituting these values into the equation for N, we get:
N = m * g * cos(theta) = 1.00 kg * 9.81 m/[tex]s^{2}[/tex] * cos(0.68) = 8.97 N
Now we can use the equation for the maximum force of static friction to find the minimum force required to keep the block at rest:
[tex]F _{friction}[/tex] = friction coefficient x N = 0.675 * 8.97 N = 6.06 N
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you are riding an elevator. an object has been hung from a spring balance attached to the elevator ceiling. the scale reads the weight of the object as w when the elevator is stationary. the elevator then starts moving. the scale then reads the weight of the object as 0.75w. what is the acceleration of the elevator?
According to the question the acceleration of the elevator is 0.25w/t.
What is acceleration?Acceleration is defined as the rate of change of velocity, or the rate at which an object's speed or direction is changing. It is a vector quantity, meaning it has both magnitude and direction. Acceleration can be either positive or negative, depending on the direction of the change in velocity.
The acceleration of the elevator can be calculated by using the following equation:a = (w-0.75w)/t
where 'a' is the acceleration of the elevator, 'w' is the weight of the object when the elevator is stationary, and 't' is the time it takes for the elevator to move.
Since the time it takes for the elevator to move is unknown, we can rearrange the equation to solve for 't':
t = (w-0.75w)/a
By substituting the known values of w and 0.75w into the equation and solving for 'a', we can calculate the acceleration of the elevator:
a = (w-0.75w)/t = (w-(0.75*w))/t = (w(1-0.75))/t = 0.25w/t
Therefore, the acceleration of the elevator is 0.25w/t.
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Helena is supposed to write a report on a communicable disease. What is the MOST appropriate topic for her to choose?
OA. asthma
OB. cystic fibrosis
O c. diabetes
O D. Hepatitis C
Hepatitis C would be the best choice for Helena's report on an infectious disease.
What diseases are contagious?
HIV, hepatitis A, B, and C, measles, salmonella, measles, and blood-borne disorders are a few examples of communicable diseases. The most frequent methods of transmission are feces-oral transmission, food transmission, sexual contact, insect bites, contact with contaminated formice, droplets, or skin contact.
Is dengue a contagious illness?Direct contact between people cannot spread dengue. However, an infected and unwell dengue fever patient can transmit the illness to more mosquitoes.. It is known that during the period when the virus circulates and reproduces in the circulatory system, humans can spread the infection from one nation or region to another.
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No one in Rohan's immediate family has cancer. What does this MOST likely mean?
OA. He will never get cancer.
OB. His mom does not have cancer-causing genes.
OC.
His dad does not have cancer-causing genes.
D.
He could possibly get cancer.
Answer:
D. He could possibly get cancer.
Explanation:
The correct answer is D. He could possibly get cancer. While having no immediate family members with cancer is a good sign, it does not guarantee that he will never get cancer. It simply means that his parents do not have any known cancer-causing genes.
