1. Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to truthfully report the mass).
(a) What is the force constant of the spring in such a scale if it the spring stretches 8. 00 cm for a 10. 0 kg load?
(b) What is the mass of a fish that stretches the spring 5. 50 cm?
(c) How far apart are the half-kilogram marks on the scale?
Please include all of your steps
Answers
The force constant of the spring in such a scale if the spring stretches 8. 00 cm for a 10. 0 kg load is 1225 N/m. The mass of the fish is 6.88 kg. The half-kilogram marks on the scale are 4 cm apart.
Spring scales are commonly used by fishermen to determine the mass of the fish they catch. The scale works by measuring the force exerted by the fish on a spring, which is directly proportional to the fish's weight. The spring scale can be calibrated to read the mass of the fish based on the spring's force constant.
(a) The force constant of the spring can be calculated using Hooke's law, which states that the force exerted by a spring is directly proportional to its displacement. Therefore, the force constant of the spring is given by k = F/x, where F is the force exerted by the spring and x is the displacement.
For a 10.0 kg load that stretches the spring 8.00 cm, the force exerted by the spring is F = kx \(= (10.0 \;kg)(9.8 \;m/s^2)\)= 98 N. Therefore, the force constant of the spring is k = F/x = 98 N/0.080 m = 1225 N/m.
(b) To determine the mass of a fish that stretches the spring 5.50 cm, we can use the force constant of the spring to find the force exerted by the fish. The force exerted by the spring is F = kx = (1225 N/m)(0.055 m) = 67.4 N.
The mass of the fish can then be calculated using the formula F = mg, where g is the acceleration due to gravity. Therefore, the mass of the fish is m = F/g = 6.88 kg.
(c) The distance between the half-kilogram marks on the scale can be found by calculating the displacement of the spring for a 0.5 kg load.
Using the force constant of the spring, we can find the displacement x = F/k = \((0.5 \;kg)(9.8 \;m/s^2)/(1225\; N/m)\) = 0.04 m. Therefore, the half-kilogram marks are 4 cm apart.
In summary, the force constant of the spring in a fish scale can be used to determine the mass of a fish based on the displacement of the spring. The force constant can be calculated using Hooke's law, and the mass of the fish can be found using the formula F = mg.
The distance between the half-kilogram marks on the scale can be found by calculating the displacement of the spring for a 0.5 kg load.
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Related Questions
A capacitor is discharged through a 20.0 Ω resistor. The discharge current decreases to 22.0% of its initial value in 1.50 ms.
What is the time constant (in ms) of the RC circuit?
a) 0.33 ms
b) 0.67 ms
c) 1.50 ms
d) 3.75 ms
Answers
The time constant (in ms) of the RC circuit is 3.75 ms. Hence, the correct option is (d) 3.75 ms.
The rate of decay of the current in a charging capacitor is proportional to the current in the circuit at that time. Therefore, it takes longer for a larger current to decay than for a smaller current to decay in a charging capacitor.A capacitor is discharged through a 20.0 Ω resistor.
The discharge current decreases to 22.0% of its initial value in 1.50 ms. We can obtain the time constant of the RC circuit using the following formula:$$I=I_{o} e^{-t / \tau}$$Where, I = instantaneous current Io = initial current t = time constant R = resistance of the circuit C = capacitance of the circuit
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The time constant of the RC circuit is approximately 0.674 m s.
To determine the time constant (τ) of an RC circuit, we can use the formula:
τ = RC
Given that the discharge current decreases to 22.0% of its initial value in 1.50 m s, we can calculate the time constant as follows:
The percentage of the initial current remaining after time t is given by the equation:
I(t) =\(I_oe^{(-t/\tau)\)
Where:
I(t) = current at time t
I₀ = initial current
e = Euler's number (approximately 2.71828)
t = time
τ = time constant
We are given that the discharge current decreases to 22.0% of its initial value. Therefore, we can set up the following equation:
0.22 =\(e^{(-1.50/\tau)\)
To solve for τ, we can take the natural logarithm (ln) of both sides:
ln(0.22) = \(\frac{-1.50}{\tau}\)
Rearranging the equation to solve for τ:
τ = \(\frac{-1.50 }{ ln(0.22)}\)
Calculating this expression:
τ ≈ 0.674 m s
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part beach child holds the end of a rope and child b pulls on the rope so that he moves toward child a. how far will child b have moved when he collides with child a?
Answers
3.813m far will child b have moved when he collide with child a.
We know that,
\(x_{cm}\)=\(\frac{m_{a} x_{a} +m_{b} x_{b} }{m_{a}+x_{b} }\)
\(x_{cm}\)=26(0)+49(11)/26+49=7.187
A=From a is 7.187m
B=we forces know that, the internal can't change the motion of CM. SO they will meet Collide at their C.M.
B has to move the distance from B→C.M. So they will meet Collide at their C.M B will forces.
11-7.187 = 3.863
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if we compare light photons and energetic electrons which have constant velocity independent of energy
Answers
Light photons always travel at a constant speed (the speed of light) regardless of their energy, while the velocity of electrons is not constant and can vary with their energy.
Light photons and energetic electrons do not have constant velocities independent of energy. Light photons, which are particles of electromagnetic radiation, travel at a constant speed in a vacuum, which is approximately 299,792 kilometers per second (or about 186,282 miles per second) in a vacuum, denoted as the speed of light (c). This speed is a fundamental constant of nature and remains constant regardless of the energy of the photons. In other words, all photons, regardless of their energy, travel at the same speed in a vacuum.
On the other hand, energetic electrons do not have a constant velocity independent of their energy. According to classical physics, the velocity of an electron can vary depending on its energy. In classical mechanics, the kinetic energy of an object is related to its velocity. However, in the microscopic world of quantum mechanics, the behavior of particles such as electrons is described differently.
In quantum mechanics, the concept of particle velocity becomes less straightforward. Instead of velocity, quantum particles are described by wavefunctions, which represent the probability distribution of finding the particle at a certain location. The wavefunction of an electron evolves over time according to the Schrödinger equation, and it does not directly correspond to a well-defined classical velocity.
However, in certain situations, such as in electron beams or particle accelerators, electrons can be accelerated to high energies. In these cases, the energy of the electrons is related to their speed, but it is not a constant relationship. As the energy of the electrons increases, their speed can also increase, but it is not independent of their energy.
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A battery with e.m.f 12v and the internal resistance 0.5ohms is connected to an electric bulb of resistance 2 ohms. Calculate the current
Answers
Answer:
4.8 A
Explanation:
Voltage = current x resistance
(V = IR)
12 = I (0.5 +2)
I = 4.8 A
A skydiver reaches terminal velocity. Then he opens his parachute.
What happens to the skydiver as the parachute opens?
Answers
Answer:
Explanation:
Remark
He's pulled upwards by the parachute. The formula is given below. Details are found searching for terminal velocity.
\(V_t=\sqrt\frac{2mg}{\rho A C_d}\)
Whatever that calculation turns out to be, a person has to be going a whole lot slower before he can safely hit the ground. The parachute is designed so that the person will be slowed very quickly to a safe velocity so when he hits the ground the impulse will not be as great as it could be. The force that the parachute delivers acts upward and opposes the force of gravity which is a downward force.
A positive charge is placed in the center of an uncharged metal spherical shell with some thickness as shown above.
1. Draw the electric field that exists inside the empty volume enclosed by the shell.
(Empty except for
the positive charge.) Explain your drawing either in words or through use of a
diagram, or both.
2. Draw the electric field that exists inside the metal shell. Explain your drawing
either in words or
through use of a diagram, or both.
3. Draw the electric field that exists outside of the metal shell. Explain your drawing
either in words or
through use of a diagram, or both.
Answers
The drawing of the positive charge showing the electrical fields inside the empty volume enclosed by the shell is attached accordingly. See explanation below.
What is the explanation of the drawing the positive charge inside the center of the uncharged spherical metal?The electrostatic potential at any location outside the shell, assuming the center of the shell is Z, equals Z/4π∈₁r, where r is the distance from O.
It's also worth noting that the spherical shell's outer surface is an equipotential shell, which means that the electric field at any place inside the shell except O is zero.
Because the shell is metallic, charge Z will induce uniformly on the inner surface and +Z will induce uniformly on the outer surface, with O as the charge center.
As a result, an electric field will exist both within and outside the shell, but the total charge will remain the same.
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Alaskan natives often eat whale blubber while other groups of people typically do not. this is an example of __________. a. food variety b. stress c. palpability d. learned preferences please select the best answer from the choices provided a b c d
Answers
Alaskan Natives often eat whale blubber while other groups of people typically do not. (d)This is an example of learned preferences.
What are Learning Preferences?
Learning styles can be defined as the way in which an individual generally responds to specific learning situations and prefers to process different forms of information. Often, learning styles are regarded as the preferred methods for undertaking learning, for example, reader/writer, audio/visual etc., but this is a narrow definition. Learning preferences as a term is generally considered to take in a broader set of factors than just methods as they also take into account aspects that might impact on learning, such as: the environment and where and when students prefer to do their learning. For example, a student may prefer to work alone at home, and do her assignments late in the evening when the family has gone to bed. Another student may thrive in group situations and only wish to study during the day on-campus. In a nutshell, learning styles and preferences help to describe how people learn best in their context, and are useful in raising awareness about this.To learn more about Learning Preferences: https://brainly.com/question/2289046
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what is the frequency of a light wave with a wavelength of 680 nm
Answers
The frequency of a light wave with a wavelength of 680 nm can be calculated using the formula: frequency = speed of light / wavelength.
The frequency of a wave represents the number of complete cycles or oscillations it completes per unit of time. In the case of light waves, their frequency determines the color of the light. The wavelength of a light wave refers to the distance between two consecutive points of similar phase, such as two peaks or two troughs.
To calculate the frequency of a light wave, we can use the equation: frequency = speed of light / wavelength. The speed of light is a constant value, approximately 299,792,458 meters per second in a vacuum. By substituting the given wavelength of 680 nm (or 680 × 10^-9 meters) into the formula, we can determine the frequency of the light wave.
Therefore, the frequency of a light wave with a wavelength of 680 nm can be found by dividing the speed of light by the wavelength.
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what is the oxidation number of the noble gases such as xenon and argon?
Answers
Which of the following is on the electromagnetic spectrum? (Choose all that apply)
O sound waves
O alpha rays
O invisible light
Omicrowaves
Otonal waves
gamma rays
Answers
the options that are on the electromagnetic spectrum are invisible light (including UV radiation, X-rays, and gamma rays) and microwaves.
What is electromagnetic spectrum?
The electromagnetic spectrum includes all types of electromagnetic radiation, which are waves of energy that travel through space. Sound waves, on the other hand, are not on the electromagnetic spectrum because they are mechanical waves that require a medium to travel through, such as air or water.
Alpha rays, also known as alpha particles, are not on the electromagnetic spectrum either. They are actually particles that consist of two protons and two neutrons and are emitted by some radioactive materials.
Invisible light is a term that refers to electromagnetic radiation that is not visible to the human eye. This includes ultraviolet (UV) radiation, X-rays, and gamma rays, which have shorter wavelengths and higher energy than visible light.
Microwaves are on the electromagnetic spectrum and have longer wavelengths and lower energy than visible light. They are often used for communication and cooking food.
Otonal waves are not a known type of wave and are not on the electromagnetic spectrum.
In summary, the options that are on the electromagnetic spectrum are invisible light (including UV radiation, X-rays, and gamma rays) and microwaves.
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How is the ares 4 mav made light enough to get into a high martian orbit?.
Answers
The Ares 4 MAV (Mars Ascent Vehicle) has been designed to be as light as possible to make it easier to get into a high Martian orbit.
The main body of the vehicle is constructed out of lightweight materials such as aluminium and titanium. This helps reduce the overall weight of the MAV, making it easier to launch into orbit.
Additionally, the MAV is powered by an advanced propulsion system that is designed to provide maximum efficiency with minimal fuel use. This ensures that the MAV is able to reach its destination with minimal fuel, helping to keep the weight of the craft to a minimum.
Finally, the MAV is equipped with a range of advanced navigation and guidance systems that help to keep the craft on its desired trajectory.
These systems help to ensure the MAV is able to reach its destination with minimal fuel, keeping the craft light and helping it to reach its desired orbit.
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if a subject stepped from behind a curtain into a pool of light, this would be an example of:
Answers
If a subject stepped from behind a curtain into a pool of light, this would be an example of dramatic lighting or spotlighting. This technique is often used in theater, film, and photography to draw attention to a specific character or object on stage or on screen.
Photography is the art, application, and practice of creating durable images by recording light, either electronically by means of an image sensor or chemically by means of a light-sensitive material such as photographic film.
It helps create a sense of focus and visual interest by highlighting the subject and separating them from the background. This technique can be used to evoke a particular mood, emphasize important moments, or add a touch of theatricality to a scene.
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Police are reinvestigating a cold case from 10 years ago. They have exhumed the body and an autopsy is being performed. The forensic scientist detected a poison in the bones of the body, which led to an eventual arrest of a suspect. What poison was MOST likely found?
A. cyanide
B.arsenic
C.mercury
D. strychnine
Answers
The poison was most likely found was B)arsenic
What is poisioning?
Poisoning is defined as harm or death brought on by ingesting, inhaling, touching, injecting, or ingesting different medications, chemicals, venoms, or gases. Many chemicals, including pharmaceuticals and carbon monoxide, become dangerous only when they are consumed in large quantities. While some cleaners only cause harm when consumed, others also release hazardous vapors or fumes.
When large doses of arsenic are ingested or inhaled, arsenic poisoning, also known as arsenicosis, occurs. Gray, silver, or white in hue, arsenic is a form of carcinogen. For humans, arsenic is exceedingly dangerous. Because it has no taste or odor, arsenic is particularly hazardous because you can be exposed to it covertly. After death, the toxin leaves residues on the body.
Hence the poison was most likely found was B)arsenic
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An object is tossed downward at 5 m/s. How far will it go after 3 s?
please respond quick
Answers
Answer:
The answer is 15 mExplanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = velocity × timeWe have
distance = 5 × 3
We have the final answer as
15 mHope this helps you
A variable resistor has a voltage of 12.0 V placed across it. If the resistance is increased 20%, what happens to the current flowing through it
Answers
Answer:
Explanation:
Remark
The answer is in the formula
E = I * R
E = the voltageI = the CurrentR = the ResistanceSolution
Let the resistance = R
I = 12/R
If we increase the resistance by 20% then we get
R1 = R + (20/100) * R
R1 = R + 1/5 * R
R1 = 6 R/5
What happens to I when you do this
I = 12/(6/5 R) Effectively you need to treat 6/5 as a reciprocal
I = 12 * 5/6 * R
I = 10 / R
What does this tell you? Since the Resistance has a base value of R, when increased by 20%, the numerator of the fraction is reduced to 10 from 12. In other words the current is now smaller when R goes up.
covert 1000 kg/m3 into 1g/cm3
Answers
Answer:
1 g/cm³
Explanation:
1 kg = 1000 g
1 cm = 0.01 of a meter
1 m³ = 100 cm * 100 cm * 100 cm = 1,000,000 cm
1,000 kg / 1 * 1000 g / 1 kg
^ divided by 1,000,000 cm
1,000,000 divided by 1,000,000 = 1 g/cm³
calculate their densties in Si unit.
200mg,0.0004m
Answers
Question: calculate their densties in Si unit.
200mg,0.0004m³
Answer:
0.5 kg/m³
Explanation:
Applying,
D = m/V........................ Equation 1
Where D = density, m = mass, V = volume.
From the question,
Given: m = 200 mg = (200/1000000) kg = 2.0×10⁻⁴ kg, V = 0.0004 m³ = 4.0×10⁻⁴ m³
Substitute these values into equation 1
D = (2.0×10⁻⁴ kg)/(4.0×10⁻⁴)
D = 2/4
D = 0.5 kg/m³
Hence the density in S.I unit is 0.5 kg/m³
What is the relation between the specific heat capacity of a substance with change
in temperature.
Answers
Answer: The heat capacity and the specific heat are related by C=cm or c=C/m. The mass m, specific heat c, change in temperature ΔT, and heat added (or subtracted) Q are related by the equation: Q=mcΔT. Values of specific heat are dependent on the properties and phase of a given substance.
Explanation:
A skater moves with 15 m/s velocity in a circle of radius circle of radius 30 m. The ice exerts a center force of 450 N. What is the mass of the skater?
Answers
Newtons third law is sometimes called??? Help
Answers
Inducing magnetic properties on a substance means you are
aligning the electrons to spin in the opposite direction
aligning the electrons to spin in the same direction
pairing up electrons to spin together
separating electrons to move freely in the substance
Answers
Inducing magnetic properties on a substance means you are aligning the electrons to spin in the same direction, 2nd option.
How are magnetic properties induced?The magnetic intensity is the magnetic field produced solely by the electric current flowing in a solenoid. The magnetic property of a material is induced by an external magnetic field. When a material is exposed to an external magnetic field, it becomes magnetized.
A strong magnetic field is produced when the majority of electrons in an atom spin in the same direction. The magnetic field's direction is determined by the direction of electron spin.
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Arrange Kepler's laws in order: a. The ratio of the squares of the periods of any two planets revolving around the sun is equal to the ratio of the cubes of their average distance from the sun. b. The path of each planet around the sun is an ellipse with the sun at one focus. c. As a planet moves in its orbit, a line from the sun to the planet sweeps out equal areas in equal times. a. 3, 2, 1 b. 2, 3, 1 c. 3, 1, 2 d. 1, 2, 3
Answers
Answer:
2,3,1
Explanation:
There are 3 laws of Kepler.
First law = The path of each planet around the sun is an ellipse with the sun at one focus.
Second law = As a planet moves in its orbit, a line from the sun to the planet sweeps out equal areas in equal times.
Third law = The ratio of the squares of the periods of any two planets revolving around the sun is equal to the ratio of the cubes of their average distance from the sun.
Hence, the correct order for Kepler's law is: 2,3,1
Arrange the following in order from most recent to oldest:
Precambrian
Cretaceous
Jurassic
Devonian
Permian
Answers
The correct order from most recent to oldest is as follows:Cretaceous Jurassic Permian Devonian Precambrian
The Cretaceous period occurred approximately 145 to 66 million years ago, during the Mesozoic Era. It was the last and most recent period of the Mesozoic Era.
The Jurassic period was the middle period of the Mesozoic Era and occurred approximately 201 to 145 million years ago.The Permian period occurred approximately 298 to 252 million years ago and was the last period of the Paleozoic Era.The Devonian period occurred approximately 419 to 359 million years ago and was the fourth period of the Paleozoic Era.
The Precambrian period is the oldest and longest period in Earth's history, spanning from the formation of the Earth about 4.6 billion years ago to the beginning of the Cambrian period about 541 million years ago.
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What sector emits the most greenhouse gas annually?
waste disposal
power stations
transportation
agricultural by-products
Answers
The sector that emits the most greenhouse gas annually is the transportation.
What is greenhouse gas?The gases mostly Carbon-di-oxide and methane absorb the heat energy from the Sun and this heat gets trapped in the closed space which results in the excess heating of the atmosphere.
Transportation totally forms 27% of 2020 greenhouse gas emissions. The transportation sector generates the largest amount of greenhouse gas emissions. Greenhouse gas emissions from transportation primarily come from the cars, trucks, ships, trains, and planes.
Thus, the sector that emits the most greenhouse gas annually is the transportation.
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Answer:
power stations
Explanation:
Explore how a kaleidoscope works. Find two mirrors, and hold them upright on the desk, so they are at an angle to each other like an open book. Set an object between them, and look in the mirrors. How many images do you see? Slowly bring the mirrors together. What happens? Are the images you see the same? Can you explain what you see?
Answers
Answer:
there is an infinite number of images because it is reflected off of the mirrors. the images in the mirror will "move" if either mirror is shifted because the angle of reflection. the images are the same because its just a repeated reflection. i see the object on both sides, repeated as far as i can see in both mirrors.
Explanation:
Three objects having the same mass begin at the same height, and all move down the same vertical distance H. One falls straight down, one slides down a frictionless inclined plane, and one swings on the end of of a string. In which case does the object have the biggest total work done on it by all forces during its motion? Free Fall Incline String Same
Answers
The object has the greatest total work done on it by all the forces during its motion, when it is in Free Fall. The correct answer A.
The object that has the biggest total work done on it by all forces during its motion is the one that falls straight down, as it experiences the force of gravity over its entire path.
The object that slides down the frictionless inclined plane experiences the force of gravity over only part of its path, while the object that swings on the end of a string only experiences the force of gravity for a very short period of time.
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Explain two negative effects of friction
Answers
disadvantages
Explanation:
releases heat when not required
opposes motion
Disadvantages- at one point it will end and you will not longe have friction
S_I_L_
_O_T_A_L
P_W_R
J_M_
S_E_D_
_A_S_N_
K_C_
Answers
Answer:
Football
Power
Jamm
Steady
Kick
what is the most effective way to convert atms to pascals
Answers
Answer:
1 Atm (atmospheric pressure) is equal to 101325 pascal (Pa). To convert atm to pascal, multiply the atm value by 101325. atm to pascal formula. Pa = atm * 101325.
Explanation:
How could sound waves damage solid objects like a spacecraft?