A simple pendulum consists of a 0. 35 kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2 Hz. What frequency would have resulted if a 0. 50 kg mass had been attached to the string instead
The Frequency of the resultant pendulum will also be 2 Hz as f does not depend on mass.
The Oscillation frequency of a pendulum depends on 3 things
1. Lenght of string (L).
2. Gravitational pull which is constant for a planet for earth it 9.8 m/s2.
3. Pie (π) (Which is again Constant 3.14....)
And this case both the things, length, and g(Gravitational pull) are constant so the frequency will also be the same.
As T = 2π√(L/g) ........ T (Time)
And Frequency = 1/T so it only required the length of string on which the mass is suspended so it will be constant as the length is taken as same as before.
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You are looking through a physicicst's laboratory notebook and notice two number for the friction between a block of wood and a laboratory bench. The numbers are 8 N and 11 N. Which refers to static friction and which refers to kinetic friction?
The static friction is 11N and kinetic friction is 8N between a block of wood and a laboratory bench.
Static friction is a force opposing relative movement and it happens at the connection point between the bodies, yet additionally inside the bodies, as in the event of liquids. The idea of friction coefficient was first formed by Leonardo da Vinci. The extent of the coefficient of still up in the air by the properties of the surfaces, environmental elements, surface highlights, presence of the oil, and so on.
Kinetic friction is characterized as a force that demonstrations between moving surfaces. A body continuing on a superficial level encounters a force the other way of its development. The extent of the force will rely upon the coefficient of motor grinding between the two materials.
We know that static friction is the maximum force applied by the body,so here 11N is the maximum force,so static friction value will be 11N and kinetic friction value will be 8N.
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A 60 kg person walks up a 75 m tall hill. How much gravitational
potential energy do they have at the top of the hill?
Answer:
45,000 JExplanation:
The gravitational potential energy of a body can be found by using the formula
GPE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 10 m/s²
From the question we have
GPE = 60 × 10 × 75
We have the final answer as
45,000 JHope this helps you
Describe, step by step, how you would set up a simple investigation to show that: kinetic friction is less than static friction
Answer:
You can use a block and an inclined plane (just a tilted board)
Place the block on the plane and gradually increase the angle the plane makes with the horizontal.
Static friction will keep the block in place (no sliding) until the angle between the plane and the horizontal is large enough. The block will now slide but is still under the influence of kinetic friction. Thus static friction is greater than sliding friction.
11. Velocity-time graph for the motion of an object in a straight path is a straight line parallel to the time axis
(a) Identify the nature of motion of the body
(b) Find the acceleration of the body
(c) Draw the shape of distance time graph for this type of motion
a) uniform velocity
b) zero or no acceleration
c) (see picture)
EXPLANATION:
(see picture)
your instructor challenges you and your friend to pull on the ends of a horizontal rope attached to a pair of scales in a tug-of-war, but in such a way that the scale readings on the scales are different. can this be done? explain.
Answer:
If the scale readings are different then there will be a net force on the person attached to the scales:
Consider any point on the rope - if the forces in each direction are the same there is no acceleration of the rope
F = Δm * a for any portion of the rope with mass Δm
If any portion of the rope is accelerated, the person attached to the rope must be accelerated
another circle is centered at the vertex of the angle. the arc subtended by the angles rays is 62.5 cm long. 1/360th of the circumference of the circle is
The circumference of the circle can be found by using the formula C=2πr, where C is the circumference, π is approximately 3.14, and r is the radius force of the circle.
Since the circle is centered at the vertex of the angle, we know that the rays of the angle are radii of the circle. Therefore, the length of the arc subtended by the angle's rays (62.5 cm) is equal to the measure of the central angle that the arc spans.
Since the arc length is 62.5 cm and subtends 1 degree of the circle, we can multiply the arc length by 360 degrees to find the total circumference:
62.5 cm * 360 degrees = 22,500 cm.
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A baseball is thrown 50.0m in 3.0s, what is the average speed of the baseball? Calculated answer is 16.666667! What is the correct answer when using significant figures?
Answer:
20m/s
Explanation:
Given parameters:
Distance of throw = 50m
Time = 3s
Unknown:
Average speed = ?
Solution:
Average speed is distance divided by time;
Average speed = \(\frac{distance }{time}\)
Insert the parameters and solve;
Average speed = \(\frac{50}{3}\) = 16.66667m/s = 20m/s
A car is stopped at a stop light. When the light turns green, it travels south 55 m/s in 5s. What is its acceleration? *
Answer:
11m/s^2
Explanation:
Acceleration can be calculated by diving speed by time. Since we know speed and time, acceleration can be calculated.
55/5 = 11m/s^2
Problem 4.42 Suppose we wish to analyze the rotating, partly full cylinder of Fig. 2.23 as a spin-up problem, starting from rest and continuing until solid-body rotation is achieved. What are the appropriate boundary and initial conditions for this problem? h 2 Volume = RM 52 R2 Still- water- level 28 2 can Fig. 2.23 Determining the free surface position for rotation of a cylinder of fluid about its central axis. R R
The appropriate boundary and initial conditions for the problem of analyzing a rotating, partly full cylinder of fluid, starting from rest and continuing until solid-body rotation is achieved.
Boundary conditions: Free-surface position is horizontal and coincides with the inside surface of the cylinder. The bottom surface is also horizontal and coincides with the surface of rotation.
Initial conditions: The fluid is at rest (zero velocity) initially. The surface position of the fluid is determined by the equilibrium condition between gravitational and centrifugal forces, and hence the free surface is flat. The velocity distribution throughout the fluid is initially zero. The angular velocity of the cylinder is zero initially. The distance between the free surface and the center of rotation is h, and the radius of the cylinder is R.
Hence the depth of fluid is (R - h). Surface position is a term that denotes the height of the surface of a fluid when it is in equilibrium with the forces acting on it. This term is typically used in hydrodynamics and is related to many fluid mechanics problems.
Boundary and initial conditions are two important factors that are critical for solving fluid mechanics problems. It's critical to establish proper boundary conditions to ensure that the fluid behaves as it should. Similarly, initial conditions are required to start the simulation from a known state.
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Que es la natación paralímpica???
Answer:
Paralympic swimming is an adaptation of the sport of swimming for athletes with disabilities. Paralympic swimmers compete at the Summer Paralympic Games and at other sports competitions throughout the world. The sport is governed by the International Paralympic Committee.
The athlete at point A runs 150m east, then 70m west and then 100m east. Determine the resultant displacement of the athlete relative to point A
Answer:
180m to the east
Explanation:
Displacement is the distance traveled in a specific direction. It is a vector quantity with both magnitude and direction. Therefore, the start and finish position is very paramount.
point A runs 150m east,
70m west
100m east
150m
--------------------------------------------------------→
70m
←---------------------
100m
-----------------------------------→
The displacement of the athlete = 150 - 80 + 100 = 180m to the east
According to the question,
Point A runs:
150 m (east)70 m (west)100 m (east)Now,
The displacement will be:
= \(150-80+100\)
= \(250-80\)
= \(170 \ m \ (east)\)
Thus the answer above is correct.
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What is the attraction and repulsion between charged particles called?
The attraction and repulsion between charged particles is called electrostatic force.
The attraction and repulsion between charged particles is called electric force or electrostatic force. This force exists between any two charged objects and can be either attractive or repulsive depending on the nature of the charges involved. The electrostatic force between two charged particles can be calculated using Coulomb's law, which states that the magnitude of the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Electric force is a fundamental force of nature, and it plays a crucial role in many physical processes such as chemical bonding, electrical conductivity, and the behavior of electromagnetic waves.
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All of the following are included in the forebrain except the __________. A. cerebellum B. cerebrum C. thalamus D. hypothalamus Please select the best answer from the choices provided A B C D
Answer:
the answer is a
Explanation:
just took the test
Answer:
IT'S: A
Explanation:
Image transcription textThe metric for a three-sphere is
ds2 = R2 (d$2 + sin? (d02 + sin? Odd2) )
where o ranges from 0 to 27, and , 0 range from 0 to T.
a) Find the volume of the sphere
b) find the first correction to the volume of a small sphere of radius r,
when the space is the three-sphere of radius R instead of flat 3D
Euclidean space... Show more
The volume of the three-sphere can be calculated using the given metric equation.
The first correction to the volume of a small sphere of radius r in the three-sphere can be determined by comparing it to the volume in flat 3D Euclidean space.
To find the volume of the three-sphere, we need to integrate the metric equation over the given ranges of θ and φ. The metric equation indicates the infinitesimal volume element (ds^2) in terms of the coordinates (θ, φ). By integrating this equation, we can calculate the total volume of the three-sphere. The integration process involves integrating with respect to θ and φ and using the appropriate limits.
To find the first correction to the volume of a small sphere of radius r in the three-sphere, we compare it to the volume in flat 3D Euclidean space. In Euclidean space, the volume of a sphere is given by V = (4/3)πr^3. We can consider the three-sphere as a curved space with a radius R. By comparing the volume of a small sphere in the three-sphere to the Euclidean volume, we can determine the first correction term.
The correction term accounts for the curvature of the three-sphere. It quantifies the difference between the volume in the curved space and the volume in flat 3D Euclidean space. Calculating this correction involves evaluating the difference between the two volumes and expressing it in terms of the radius R and the radius r of the small sphere.
The metric equation provided describes the geometry of a three-sphere, which is a higher-dimensional analogue of a sphere. It is a concept studied in differential geometry and has applications in various fields, including cosmology and string theory.
In summary, the volume of the three-sphere can be obtained by integrating the metric equation over the given ranges of coordinates. The first correction to the volume of a small sphere in the three-sphere can be determined by comparing it to the volume in flat 3D Euclidean space. This correction term accounts for the curvature of the three-sphere and provides insights into the differences between curved and flat geometries.
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a body mass index of 25.0 to 29.9 in an adult indicates: a. normal weight b. overweight c. underweight d. obesity e. morbid obesity
Answer: Option B: Overweight. A Body Mass Index (BMI) of 25.0 to 29.9 in an adult is considered to be overweight, meaning that the person's weight is higher than what is recommended for their height.
What is Body Mass Index (BMI) ?The body mass index (BMI) is a measurement based on a person's mass (weight) and height. The BMI is calculated by dividing the body weight by the square of the height, and it is expressed in kilograms per square meter (kg/m²) since weight is measured in kilograms and height is measured in meters.
A table or chart that plots BMI as a function of mass and height using contour lines or colors for different BMI categories can be used to calculate BMI. The table or chart may also utilize other units of measurement that are translated to metric units for the computation.
What are the ranges of BMI?Based on tissue mass (muscle, fat, and bone) and height, the BMI is a practical guideline used to roughly classify a person as underweight, normal weight, overweight, or obese. Underweight (under 18.5 ), normal weight (18.5 to 24.9), overweight (25 to 29.9), and obese (30 or more) are the four main adult BMI categories. The BMI has limitations that can make it less useful than some of the alternatives when used to predict an individual's health rather than as a statistical assessment for groups, particularly when applied to people with abdominal obesity, low stature, or very high muscle mass.
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HELP PLEASE !!!! When light passes from air to water, what happens to the speed of the light?
speeds up
slows down
stays the same
Option 2
Answer:
slows down is correct answerExplanation:
What happens is that light slows down when it passes from the less dense air into the denser glass or water.This slowing down of the ray of light also causes the ray of light to change direction. It is the change in the speed of the light that causes refraction.hope it is helpful to you please follow give brainliestAn arrow shot vertically upwards at a speed of 40m/s, hit the target after 2s. How high is the target? How fast did the arrow hit the target?
Answer:
Explanation:
kinematics
d=V1*t + 1/2* a * \(t^{2}\)
plug in your knowns into the above equation
d=40*2+1/2*(-9.8)*\(2^{2}\)
60.4m
Vf = Vi+ a*t
Vf = 40 + (-9.8)*2
Vf = 20.4 m/s
22POINTS!
Match these items.
1 .
Westinghouse
built the first American A.C. generator
2 .
salt dome
found a relationship between electricity and magnetism
3 .
gas and oil
associated with gas and oil; show low gravity
4 .
solar cells
first workable electric light bulb
5 .
Einstein
developed the equation E=mc 2
6 .
geothermal
provides majority of the energy in the united states
7 .
Oersted
splitting heavy atoms
8 .
breeder
produces plutonium
9 .
turbine
powered by falling water or stream pressure
10 .
fission
thin silicon slices
11 .
Edison
using heat from the earth
Electricity can be produced by the relative motion of coil and a magnet.
How is electricity related to magnetism?We know that it is possible that we can be able to generate electricity by the alteration of a magnetic field. This is what we call the generation of electricity by electromagnetic induction. This was well discussed by Michael Faraday.
We have to note that the relative motion between the coils and the magnetic field is able to cause the fact that current would be induced in the coils as stated by the principle.
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What is true about the number of protons and the number of electrons in a normal atoms
Answer:
the number of protons in the nucleus of the atom is equal to the atomic number Z. The number of electrons in a neutral atom is equal to the number of protons.
hope this helps :)
A man has a mass of 100 \{~kg} on earth, what would his mass be if he boarded a ship traveling at c 0.14 For the viewers on the ground
The mass of an object does not change with its velocity. Therefore, the man's mass would still be 100 kg if he boarded a ship traveling at 0.14c (where c is the speed of light).
Mass is an intrinsic property of an object and is independent of its motion. It is a measure of the amount of matter an object contains. In this case, the man's mass is 100 kg on Earth, and this value would remain the same even if he were aboard a ship traveling at a significant fraction of the speed of light.
It is important to note that mass is different from weight. Weight is the force exerted on an object due to gravity and depends on the gravitational field strength. Therefore, the man's weight would change if he were on a different celestial body with a different gravitational field strength, but his mass would remain the same.
To summarize, the man's mass would still be 100 kg whether he is on Earth or aboard a ship traveling at 0.14c.
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active oxygen and free radicals are believed to be exacerbating factors in causing cell injury and aging in living tissue (see citation below). researchers are therefore interested in understanding the protective role of natural antioxidants. in the study of one such antioxidant (hsian-tsao leaf gum), the antioxidation activity of the substance has been found to depend on concentration in the following way: in this equation, the dependent variable is a quantitative measure of antioxidant activity at concentration . the constant represents a limiting or equilibrium value of this activity, and a positive rate constant. let and reformulate the given initial value problem in terms of this new dependent variable, .
In this particular question, the task is to reformulate the given initial value problem in terms of a new dependent variable, using the constants and variables provided. The initial value problem is related to the study of an antioxidant, Hsian-tsao leaf gum, and its antioxidation activity, which depends on concentration in a certain way.
The dependent variable is a quantitative measure of antioxidant activity at concentration, while the constant represents a limiting or equilibrium value of this activity, and a positive rate constant. The goal is to use this information to reformulate the problem in terms of a new dependent variable.
The specific details of this reformulation will depend on the constants and variables provided, but it is important to focus on the key concepts and to provide a clear and concise answer that directly addresses the question at hand.
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What are the effects of reverberation?
Reverberation can enhance sound quality, create decay, reduce clarity, and cause distortion.
Which of the following BEST describes all planets in the universe?
large, spherical body made mostly of rock
large, spherical body that orbits in a clear path around a sun
large, spherical body that orbits in a clear path around a star
large, spherical body made mostly of gases
Answer:c large, spherical body that orbits in a clear path around a star
Explanation:]
All planets in the universe are the large, spherical body that orbits in a clear path around a star. Therefore, option (C) is correct.
What is a planet?Planets can be described as astronomical bodies which are orbiting a star and are big enough to have their own gravity.
In the solar system, a planet is a body that revolves around the sun in fixed orbits and does not have the light of its own but reflects the light of the sun. They do not twinkle like other stars which are too close to us.
Our solar system consists of 8 planets which are in the order of Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
With approximately two trillion galaxies within our observable Universe, and are approximately 10²⁵ planets that orbit stars, with some approximately 10²⁶ to 10³⁰ additional starless planets.
Therefore, option (c) is correct according to which planets are the large, spherical body that orbits in a clear path around a star.
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Question 7 of 20 A permanent magnet is placed in a coil of wire. If there is no electric current in the wire, which statement must be true? A. The magnet is moving relative to the wire. B. The magnet is not moving relative to the wire. C. The magnet is longer than the coil of wire. D. The magnet is shorter than the coil of wire.
Answer:
the magnet is not moving relative to the wire so B
Explanation:
The magnet is not moving relative to the wire if, A permanent magnet is placed in a coil of wire, If there is no electric current in the wire so, option B is correct.
What is current?Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). The more electricity flowing across the circuit, the higher the ampere value.
When current flows through a coil of wire, it transforms into an electromagnet. The coil spins as a result of the electromagnet's interaction with a permanent magnet.
An electromagnet is created when current passes through a coil of wire. Because of the electromagnet's interaction with a permanent magnet, the coil spins.
Thus, The magnet is not moving relative to the wire.
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5. Gravity is an attractive force betweenA. all massive objects.B. Earth and objects on Earth.C. Earth and Moon, and objects on Earth.D. all objects everywhere.
Background image
The correct answer is option D gravity is an attractive force between any objects in the universe i.e. gravitational force.
Is gravity a force that draws two items together?
A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.
We can see that the gravitational force is inversely proportional to the distance between masses and directly proportional to the product of the masses of two objects. As a result, any item in the cosmos can be attracted to another by the force of gravity.
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Explain how inductive reasoning is inferior to deductive reasoning in establishing theory.
Answer: Created Fall 2016 by Ronald Wilson Inductive reasoning uses a set of specific observations to reach an overarching conclusion; it is the opposite of deductive reasoning. So, a few particular premises create a pattern which gives way to a broad idea that is likely true.
Explanation: No explanation lol. But I hope this is helpful!
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
Answer:
4.8 A
Explanation:
Voltage = current x resistance
(V = IR)
12 = I (0.5 +2)
I = 4.8 A
Magnets are a mystery to scientists because scientists.
Magnetism is a mysterious force in this universe. Scientists don't fully understand why it occurs in the first place. They aren't sure why these particles have a north and south direction either, according to Live Science, and there are many different forms of magnetism.
What are magnets ?Anything that creates a magnetic field is considered to be a magnet. The most notable characteristic of a magnet is a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, cobalt, etc., and attracts or repels other magnets. This invisible magnetic field is responsible for this property.
A substance or object that generates a magnetic field that has the potential to impact objects nearby. Magnetic materials, such as iron, are drawn to a magnet. A magnetic field is always present in permanent magnets. One of a magnet's two poles is its centre of the magnetic field.
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Q1: A step-up transformer has 80 turns on its primary coil and 1200 turns on its secondary coil. The
primary circuit is supplied with an alternating current at 120 V.
a) What voltage is being applied across the secondary circuit?
b) The current in the secondary circuit is 2.0 A. What current is in the primary circuit?
c) What are the power input and output of the transformer?
Answer:
a. 1.8 kV b. 30 A c. power input = 3.6 kW, power output = 3.6 kW
Explanation:
a. Since turns ratio N₁/N₂ = V₁/V₂ where N₁ = number of turns of primary coil = 80 turns, N₂ = number of turns of secondary coil = 1200 turns, V₁ = voltage in primary circuit = 120 V and V₂ = voltage in secondary circuit = unknown
So, V₂ = N₂V₁/N₁
= 1200 × 120 V/80
= 1800 V
= 1.8 kV
b. Also, N₁/N₂ = I₂/I₁ where I₁ = current in primary circuit = unknown and I₂ = current in secondary circuit = 2.0 A
So, I₁ = N₂I₂/N₁
= 1200 × 2.0 A/80
= 30 A
c. The power input of the transformer P₁ = I₁V₁
= 30 A × 120 V
= 3600 W
= 3.6 kW
The power output of the transformer P₂ = I₂V₂
= 2 A × 1800 V
= 3600 W
= 3.6 kW
a) The voltage applied across the secondary circuit is 1.8 kV
b) The current in the primary circuit is 30 A
c) The power input and output of the transformer are 3.6 kW and 3.6 kW.
What is transformer?A transformer transfers electric energy from one AC circuit to one or more other circuits, either stepping up or stepping down the voltage.
a) Turns ratio N₁/N₂ = V₁/V₂ where N₁ = number of turns of primary coil = 80 turns, N₂ = number of turns of secondary coil = 1200 turns, V₁ = voltage in primary circuit = 120 V
Substitute the values and we get the voltage in secondary circuit is
V₂ = N₂V₁/N₁
V₂ = 1200 × 120 V/80
V₂ = 1800 V
V₂ = 1.8 kV
Thus, the voltage applied across the secondary circuit is 1.8 kV
b) Turn ratio also represented as N₁/N₂ = I₂/I₁ where I₂ is the current in secondary circuit = 2.0 A
Put the values, we have current in primary circuit is
I₁ = N₂I₂/N₁
I₁ = 1200 × 2.0 A/80
I₁ = 30 A
Thus, the current in the primary circuit is 30 A
c) The power input of the transformer P₁ = I₁V₁
P₁ = 30 A × 120 V
P₁ = 3600 W
P₁ = 3.6 kW
The power output of the transformer P₂ = I₂V₂
P₂= 2 A × 1800 V
P₂= 3600 W
P₂= 3.6 kW
The power input and output of the transformer are 3.6 kW and 3.6 kW.
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