The velocity (speed) of the satellite is approximately 3075 m/s. when a 218.7 kg satellite is in a circular orbit of 22,236 miles (35,768 km) in radius. the force keeping the satellite in orbit is 46.7 n.
We can use the formula for the gravitational force between two objects to solve for the velocity of the satellite in orbit. The force that keeps the satellite in orbit is the gravitational force between the satellite and the Earth, given by:
F = G (m1 m2)/r²
where r is the distance between the two objects, m1 and m2 are their respective masses, and G is the gravitational constant.
In this case, the mass of the Earth is much larger than the mass of the satellite, so we can assume that the Earth is stationary and the satellite is moving in a circular orbit around it. The force that keeps the satellite in orbit is the centripetal force given by:
F = m v² / r
where m is the mass of the satellite, v is its velocity, and r is the radius of its orbit.
Equating these two expressions for F, we get:
G (m1 m2)/r² = m v² / r
Solving for v, we get:
v = √(G m1/r)
where m1 is the mass of the Earth. Substituting the given values, we get:
v = sqrt((6.6743 × 10⁻¹¹ m³/kg s²) (5.9722 × 10²⁴ kg) / (35,768,000 meters + 6371000 meters))
v ≈ 3075 m/s
Therefore, the velocity (speed) of the satellite is approximately 3075 m/s.
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A school recorded the number of times pupils were late each month mathswatch
Recording the number of times pupils are late each month is an important metric for schools to measure punctuality. Late arrivals to school can disrupt the learning environment and negatively affect academic performance. By tracking lateness, schools can identify patterns and take appropriate measures to encourage timely attendance.
One way to record this data is by using a software program like Maths watch. With Maths watch, schools can easily input and track data on student punctuality. The program can generate reports that help identify trends and patterns, allowing schools to take corrective action. For example, if the data shows that a particular student is consistently late, the school can take steps to address the issue, such as contacting the student's parents or implementing a consequence for lateness.
Overall, recording and analyzing the number of times pupils are late is an important aspect of school management. By using tools like Maths watch, schools can make data-driven decisions to improve punctuality and create a more conducive learning environment for all students.
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Calculate the temperature increase ΔT in a 1.40 kg sample of water that results from the conversion of 19% of the gravitational potential energy directly to heat energy in the world's tallest waterfall, the 807-m ‑tall Salto Angel in Canaima National Park, Venezuela.
According to the given statement As a result, the water's temperature increased by 0.36°C.
What does increase in temperature mean?Higher temperatures raise the likelihood that heat waves may occur more frequently and last longer. Extreme heat can be deadly, resulting in conditions like heat exhaustion and heat stroke as well as actual mortality. Additionally, increased temperatures have the potential to trigger a variety of additional alterations globally.
Briefing:The formula below is used to determine the temperature rise (T).
ΔT = 0.19gh/c............. Equation 1
Where:
T stands for temperature rise.
g = Gravitational acceleration
Height is h,
While water's specific heat capacity is c.
From the question,
Given:
h = 807 m
g = 9.8 m/s²
c = 4184 J/kgK
Substitute these values into equation 1
ΔT = (0.19×807×9.8)/4184
ΔT = 0.36°C
As a result, the water's temperature increased by 0.36°C.
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A tank contains compressed air at 5 ATM. What is the pressure in pascals?
Answer:
1 atm = 1.01E5 nt/m^2 = 1.01E5 pascals
5.05E5 nt/m^2 = 5.05E5 pascals
1 pascal = 1 nt/m^2
PLZ HELP!! FOE A TEST
23. Quantities that can be described completely by their magnitude or size are called vector quantities. (5 points)
True
False
Answer:
False
Explanation:
Vector has a magnitude and direction.
A scalar is just a magnitude or size.
The answer is false.
What is scalar and vector quantities?
Scalar quantity:
The scalar quantity will have only the magnitude ( how much or size).These scalar quantity are one dimensional. These can be represented only by calculating the changes in the magnitude. If we need to change the value of scalar we are not able to change because it has no directions to determine the values of the quantity.If we have to perform any kind of mathematical operation, i.e., scalar with scalar we get scalar but when we did the mathematical operation with the scalar and vector then we get the answer is in the vector. some of the scalar quantities are as follows:Speed, Mass, length, distance, power, energy, work.
Vector quantity:
The vector quantity will have both magnitude and direction.The vector quantities are one dimensional, 2 dimensional, else can also be 3 dimensional.Vector quantities can be changed or determined both by the magnitude and direction. If we change the adjacent angles then there changes will occur in the direction.We can perform any kind of mathematical operation.Some of the vector quantities are: Displacement, velocity, acceleration, force, weight, friction, momentum.Hence, Option B is the correct answer.
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If a central angle with its vertex at the center of the earth has a measure of 1', then the arc on the surface of the earth that is cut off by this angle (known as the great circle distance) has a measure of 1 nautical mile (see the figure below).
Find the number of regular (statute) miles in 1 nautical mile to the nearest hundredth of a mile. (Use 4,000 miles for the radius of the earth.)
To find the number of regular (statute) miles in 1 nautical mile, we need to determine the length of the arc on the surface of the earth that corresponds to 1 nautical mile.
We are given that the central angle formed at the center of the earth has a measure of 1'. We know that the circumference of a circle is given by 2πr, where r is the radius of the circle. In this case, the radius of the earth is given as 4,000 miles.To find the length of the arc corresponding to 1', we can use the formula for the circumference of a circle and convert the angle measure from minutes to radians:C = 2πr
Arc Length = C * (θ/360) (where θ is the angle measure in degrees)In this case, the angle measure is given as 1', which is equal to 1/60 degrees or (1/60) * (π/180) radians.
Arc Length = 2π * 4,000 miles * [(1/60) * (π/180)]
Simplifying the expression:Arc Length = (2 * π * 4,000 * 1 * π) / (60 * 180) miles
Arc Length = (8 * π² * 4,000) / (60 * 180) miles
Arc Length ≈ 110.6 miles
Therefore, the length of the arc on the surface of the earth that corresponds to 1 nautical mile is approximately 110.6 miles.To find the number of regular (statute) miles in 1 nautical mile, we can divide 1 nautical mile by the length of the arc:Number of regular miles in 1 nautical mile = 1 nautical mile / 110.6 miles
Number of regular miles in 1 nautical mile ≈ 0.00904 miles
Rounded to the nearest hundredth of a mile, the number of regular miles in 1 nautical mile is approximately 0.01 miles.
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8. The non-contact force that exists between stationary charged particles is
Answer:
electrostatic forces is the answer
5). A body of mass 75kg lying on a surface of
μ = 0.4 move in the direction of a horizontal force
of 300N applied to it.
a). Calculate the
i). friction force
ii). acceleration of the body
b). Explain the result in aii).
Explanation:
a) i) Calculation of the friction force:
The friction force can be determined using the equation:
friction force = coefficient of friction * normal force
The normal force is equal to the weight of the object, which can be calculated as:
normal force = mass * gravitational acceleration
where the gravitational acceleration is approximately 9.8 m/s².
normal force = 75 kg * 9.8 m/s² = 735 N
friction force = 0.4 * 735 N = 294 N
ii) Calculation of the acceleration of the body:
Now, we can calculate the acceleration using Newton's second law:
net force = mass * acceleration
Since the applied force and the friction force act in opposite directions, the net force can be calculated as:
net force = applied force - friction force
net force = 300 N - 294 N = 6 N
mass = 75 kg
6 N = 75 kg * acceleration
acceleration = 6 N / 75 kg = 0.08 m/s²
b) Explanation:
In part (a), we calculated the friction force to be 294 N and the acceleration of the body to be 0.08 m/s². The positive acceleration indicates that the body is moving in the direction of the applied force.
The friction force opposes the motion of the body and acts in the opposite direction to the applied force. In this case, the applied force of 300 N is greater than the friction force of 294 N. As a result, the net force acting on the body is 6 N in the direction of the applied force.
The small net force of 6 N, compared to the body's mass of 75 kg, results in a relatively low acceleration of 0.08 m/s². This indicates that the body will accelerate slowly in the direction of the applied force due to the presence of friction.
Overall, the friction force and the resulting acceleration of the body are determined by the coefficient of friction (μ) and the mass of the object. In this case, the body experiences a relatively high friction force, leading to a small acceleration.
Radiation transfers thermal energy through _________. Which accurately completes the statement? waves
direct contact
particles
liquid movement
Answer:
waves
Explanation:
The correct word that completes the statement is that radiation transfers thermal energy in the form of waves. So, option A is correct.
What is Radiation?Radiation is the movement of atomic and subatomic atoms as well as waves, like those that define X-rays, heat rays, and light rays. Radiation of both types, from cosmic and earthly sources, is constantly being thrown at all matter. The qualities and behavior of radiation, as well as the matter it interacts with, are outlined in this article, which also explains how energy is transmitted from radiation to its environment.
The effects of such an energy conversion to living things are given a lot of consideration, including how many aspects of life—such as photosynthesis in plants and sight in animals—are affected normally as well as any abnormal or harmful effects that may arise from exposing organisms to radiation of unusual types or to radiation doses that are higher than those found in nature.
Therefore, in radiation, the energy transfer through waves.
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An ambulance siren has a frequency of 650 Hz and is moving away from you at 35 m/s. What frequency will you perceive? Use 346 for the speed of sound.
590 Hz is the answer to the question
An ambulance siren has a frequency of 650 Hz and is moving away from you at 35 m/s. What frequency will you perceive? Use 346 for the speed of sound.
Answer:
59.71 Hz
Explanation:
Frequency: 650 Hz
Velocity: 35 m/s
Speed of sound: 346
f = f(v / v + speed of sound)
f = 650(35 / 35 + 346)
Evaluate and you would perceive a frequency of 59.71 Hz
Why does bromine have different colors?
Answer:
It is the third-lightest halogen, and is a fuming red-brownliquid at room temperature that evaporates readily to form a similarly coloured gas. Its properties are thus intermediate between those of chlorine and iodine. .
Which causes the biggest problem in detecting infrared photons from an astronomical object?
a. smog
b. carbon dioxide
c. water vapor
d. light pollution
The correct option is C ; Water vapor , Water vapour is water that is gaseous rather than liquid. It can be generated by either evaporation or sublimation.
Water vapour, unlike clouds, fog, or mist, which are just suspended particles of liquid water in the air, cannot be seen since it is in gaseous form.
Water vapor has the same chemical formula as regular water - H2O - but the water molecules in vapor interact with each other less and are not as organized as they are in water and ice. Pressure, temperature, and relative humidity all influence whether water is liquid or gas.
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What are two ways engineers use their understanding of kinetic energy and potential energy to make their designs better/ safer?
Answer:
On a roller coaster, energy changes from potential to kinetic energy and back again many times over the course of a ride. Kinetic energy is energy that an object has as a result of its motion. Traditionally, the coaster cars are pulled up the first hill by a chain; as the cars climb, they gain potential energy.
Mechanical engineers are concerned about the mechanics of energy — how it is generated, stored, and moved. For example, mechanical and civil engineers ensure that there is sufficient potential energy, which is converted to kinetic energy, to move cars along an entire roller coaster ride.
What is kinetic energy ?"Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy."
What is potential energy ?"Potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors."
Potential energy, stored energy that depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched. A steel ball has more potential energy raised above the ground than it has after falling to Earth.
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The efficiency of a machine is always equal to or greater than 1 (True False)
Answer: False.Machine efficiency is a measure of how much work is produced by a machine compared to how much energy is required to operate the machine.
The ratio of useful output work divided by the total input work is known as machine efficiency. This number is frequently expressed as a percentage (100 x work output / work input).Example:
For example, if you lift a 50-pound weight 10 feet in the air using a pulley, the work done is 500 foot-pounds. However, if it took 600 foot-pounds of energy to lift the weight, the pulley system's efficiency would be calculated as follows: 500/600 = 0.83 or 83 percent.
The efficiency of a machine is always less than one, in general. It is defined as the ratio of output energy to input energy. Because of losses due to friction and other variables, the output energy is always less than the input energy. As a result, the efficiency of a machine is always less than one.Answer: False.
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Two bar magnets are placed on the table a few inches apart. Then a compass is placed near them, as shown below. Draw an arrow on the compass that represents the direction the needle will point because of the magnetic field between the magnets. Explain what would cause the compass needle to point in that direction using the terms magnetic force and magnetic field.
Answer:
Explanation:
The reson that the north of the compas pin points in that direction is because ,that is Earth magnetic south pole is and that is where they attract
16. What is the velocity of a wave with a period, T of 10 s and a wavelength of 10 m?
Answer:
1m/s
Explanation:
Frequency= 1/10=0.1
Wave length= 10
Velocity= 10*0.1= 1m/s
I hope this helps
For what value of v does γ = 1.0205? Observe that for speeds lower than this value, time dilation and length contraction are effects amounting to less than2.05%.
The value of v for which γ = 1.0205 is approximately 0.197c.
The Lorentz factor γ is given by γ = 1/√(1 - v^2/c^2), where c is the speed of light. We can solve for v by setting γ equal to 1.0205 and solving for v. This gives us v = √(1 - 1/γ^2) * c.
Substituting γ = 1.0205 gives v ≈ 0.197c. This means that for speeds lower than 0.197c, the effects of time dilation and length contraction are less than 2.05%. In other words, if an observer is traveling at speeds below 0.197c, they will experience only small differences in time and length measurements compared to a stationary observer. However, as the speed approaches the speed of light, these effects become more and more significant, leading to phenomena like time dilation and length contraction.
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What is TRUE about a capitalist society?
The idea behind capitalism is that the free market of products and ideas is owned and driven by private citizens. A capitalist society is a social order in which private property rights and the free market serve as the basis of trade, distribution of goods, and development.
Answer:
In ideal terms: In a capitalist economic system, the owner of production is the individual, and the benefactors of production are first the individual and second the society. In a socialist or communist economic system, the owner of production is the state or the society, and the benefactor is the society.
What is the velocity of an object accelerating at 7.0 m/s² after 4.0s when it is initially moving at 3.0 m/s? Value
Answer:
31.0 m/s
Explanation:
Given:
\(\vec a=7.0 \ m/s^2\\\\t=4.0 \ s\\\\\vec v_0 = 3.0 \ m/s\)
Find:\(\vec v_f=?? \ m/s\)
\(\boxed{\left\begin{array}{ccc}\text{\underline{The 4 Kinematic Equations:}}\\\\1. \ \vec v_f=\vec v_0+\vec at\\\\2. \ \Delta \vec x=\frac{1}{2}(\vec v_f-\vec v_0)t\\\\3. \ \Delta \vec x=\vec v_0t+\frac{1}{2}\vec at^2\\\\ 4. \ \vec v_f^2=\vec v_0^2+2\vec a \Delta \vec x \end{array}\right}\)
Using the first kinematic equation:
\(\vec v_f=\vec v_0+\vec at\\\\\Longrightarrow \vec v_f=3.0+(7.0)(4.0)\\\\\Longrightarrow \vec v_f=3.0+28.0\\\\\therefore \boxed{\boxed{\vec v_f=31.0 \ m/s}}\)
Thus, the objects final velocity is found.
a 4 kg vase sits on a shelf at a height of 1.2m .how much gravitational potential energy is added to the vase when it is lifted to a shelf of height 1.4m .
Answer:
54.88 J
Explanation:
PE = mgh
PE = (4)(9.8)(1.4)
= 54.88 J
The longest cave system in the world is the
Mammoth Cave system in Central Kentucky.
It has a mapped length of 348 miles.
Find its length in kilometers. 1 mi = 1.609
km = 5280 ft.
Answer in units of km.
Answer:
________________
560 kilometers
I think this is correct.
________________
Answer:
The answer of the question is = 560.052
Kilometer.
why is a hotter planet more likely to retain an atmosphere than a cold one that is approximately the same size and mass?
A hotter planet is more likely to retain an atmosphere than a cold planet of approximately the same size and mass due to several factors related to the planet's temperature and the behavior of gas molecules.
These factors include the escape velocity, thermal velocity, and the ability of the planet's gravity to hold onto gas particles.
1. Escape Velocity: The escape velocity of a planet is the minimum velocity required for an object to escape the gravitational pull of the planet and move into space. For gas molecules in the planet's atmosphere, the higher the temperature, the greater their average kinetic energy, which affects their velocity. Hotter gas molecules have higher velocities, making it more difficult for them to reach the escape velocity and escape the planet's gravitational field. Therefore, a hotter planet is more likely to retain its atmosphere because the gas molecules have higher energy and are less likely to escape into space.
2. Thermal Velocity: The thermal velocity of gas molecules is related to their temperature. At higher temperatures, gas molecules have higher thermal velocities, which means they move faster on average. When a planet has a higher temperature, the gas molecules in its atmosphere have higher thermal velocities, making it more difficult for them to be lost to space. The faster-moving gas molecules are more likely to collide with other molecules and be retained by the planet's gravity.
3. Gravity: The strength of a planet's gravitational pull plays a crucial role in retaining its atmosphere. A planet with higher mass and stronger gravity can more effectively hold onto gas molecules in its atmosphere. A hotter planet that has retained its heat from its formation or through other processes will have a higher internal temperature, which often leads to a larger size and greater mass due to higher gas pressure and gravitational compression. With greater mass and stronger gravity, the planet can exert a stronger pull on the gas molecules in its atmosphere, reducing the likelihood of them escaping into space.
Additionally, the increased temperature can lead to the presence of more volatile compounds in the atmosphere, such as water vapor or carbon dioxide, which are less likely to condense or freeze at higher temperatures. This further contributes to the retention of an atmosphere on a hotter planet.
In summary, a hotter planet is more likely to retain its atmosphere compared to a cold planet of similar size and mass due to the higher escape velocity requirements, higher thermal velocities of gas molecules, and the stronger gravitational pull resulting from a higher temperature, mass, and size. These factors collectively make it more difficult for gas molecules to escape the hotter planet's gravitational field, resulting in a more stable atmosphere.
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cell bodies of pre-ganglionic autonomic motor neurons are found where?
Cell body of pre-ganglionic autonomic motor neurons are found wherein the lateral gray horn of the spinal cord (thoracic, upper lumbar, or sacral region).
An electric vehicle is a motor that converts electrical energy into mechanical energy. Most electric motors operate through the interaction between the motor's magnetic field and the current in the windings, producing energy in the form of torque applied to the motor shaft. Generators are mechanically identical to electric motors, but work in countercurrent, converting mechanical energy into electrical energy.
The motor can be powered by a direct current (DC) source, such as a battery or rectifier, or an alternating current (AC) source, such as a grid, inverter, or generator.
We must understand that autonomic motor neurons are neurons of the autonomic nervous system. Autonomic motor neurons can be divided into two types, namely:
1. Parasympathetic preganglionic neurons. Related motor located in the cranial nerves, and
2. Sympathetic preganglionic neurons... located in the visceral efferent of the spinal cord.
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A +6 nC charge is located at (0,8.44) cm and a -4nC charge is located (3.12, 0) cm.Where would a -10 nC charge need to be located in order that the electric field at the origin be zero? Find the distance r from the origin of the third charge.
The electric field exerted by a point charge is given by:
\(E=k\frac{q}{r^2}\)where q is the charge and r is the distance to the point where we want to calculate the electric field.
In this case we have three charges with the following properties:
\(\begin{gathered} q_1=6\times10^{-9},\text{ }r_1=0.0844 \\ q_2=-4\times10^{-9},\text{ }r_2=0.0312 \\ q=-10\times10^{-9},\text{ }r \end{gathered}\)Now, the total electric field on a point is the addition of all the charges; in this case we want the net field to be zero. Then we have:
\(\begin{gathered} k\frac{6\times10^{-9}}{(0.0844)^2}-k\frac{4\times10^{-9}}{(0.0312)^2}-k\frac{10\times10^{-9}}{r^2}=0 \\ \frac{10}{r^2}=\frac{6}{(0.0844)^2}-\frac{4}{(0.0312)^2} \\ \frac{10}{r^2}=-3266.84 \\ r^2=-\frac{10}{3266.84} \end{gathered}\)Now, since the last equation does not have a real solution this means that this distribution of charges will not exert a zero electric field on the origin.
Therefore, there's no possible distance for the field to be zero in this charge configuration
If the angle of reflection is 82 and the light ray strikes a flat mirror, what will the angle
if incidence be?
Answer:
82
Explanation:
According to law of reflection, the angle of incidence = angle of reflection
Answer:
The angle of incidence will be equal to the reflection.
Explanation:
The law of reflection states that when a ray of light reflects off a surface, the angle of incidence is equal to the angle of reflection.
So 82 would be the answer.
Question 3
The FRC robot is rushing to pick up a game ball to shoot. The robot
is at rest and then it travels 30m in 1.96s. What is the robot's
acceleration in this time?
Answer:
15.61 m/s^2
Explanation:
From 3 rd equation of motion
s=ut+1/2at^2
given s = 30
u= 0 ( as body was at rest)
t= 1.96s
30=0*1.96+1/2a(1.96)^2
30=0+1/2a(1.96)^2
a=2*30÷(1.96)^2
a= 15.61 m/s^2 (approx)
The angular quantities L, omega, and alpha are vectors. The vectors point along the axis of rotation with a direction determined by __________.
The vectors point along the axis of rotation with a direction determined by an arrow.
What is a vector?There are two types of physical quantity one is a scaler and another one is a vector.
The quantity that requires only megnitude to define is known as the scalar quantity. While the vector quantities need both megnitude and the direction to define.
The vector quantity is represented by an arrow. The vectors point along the axis of rotation with a direction determined by an arrow.
The angular quantities L, omega, and alpha are vector quantities.
Hence arrow is the correct answer for the blank.
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The direction of the vectors of angular momentum and L, angular velocity omega and the mass alpha is determined using the right hand rule.
What is right hand rule?Righthand rule in physics states that, when we curl our right hand fingers, the direction of the angular momentum and velocity will be in the direction of thumb and curl of fingers determine the axis of rotation.
Angular momentum is a vector quantity defined as the product of moment of inertia and angular velocity where, the angular velocity ω is the rotational analogue of linear velocity i.e.. product of the linear velocity and radius of rotational path.
Therefore, the angular quantities L, angular velocity ω along the axis of rotation can be determined using the right hand rule. Where direction of thump represents the direction of vector components.
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If the potential energy of a roller coaster is 60,000 J at the highest point, what is its kinetic energy at the lowest point?
Answer:
60 000 J
Explanation:
The PE will be converted to KE entirely (if the lowest point is ground level)
If an atom has 16 protons, 14 neutrons, and 19 electrons, what is the atom's electrical charge?
A +2
B.-3
C.-2
D.-5
Answer:
Thus, each atom or ion must contain 16 protons. We are told that the ion also has 14 neutrons, meaning the mass number of the ion is 16 + 14 = 30 Because the ion has 16 protons and 19 electrons, its net charge is -3.
a horizontal force of 330 n is exerted on a 2.5-kg ball as it rotates (at arm's length) uniformly in a horizontal circle of radius 0.90 m. Calculate the speed of the ball!
According to given question by applying the centripetal force, the speed of the ball is 12.18 m/s.
What does force, in brief, mean?The definition of force in physics is: This push or draw on a massed object changes its velocity. An unseen factor is an agency that has the power to alter the resting or movement condition of a body. It has both a trajectory and a size.
What are examples of force?There are several instances of energies in daily life, including: heft and drive (i.e. the weight of something) is force a swing applies to a ball. the pressure that a hair applies to hairs when stroking it. the pressure your foot applies to the pedal whenever you're riding your bike.
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a computer is reading data from a rotating cd-rom. at a point that is 0.030 m from the center of the disc, the centripetal acceleration is 120 m/s2. what is the centripetal acceleration at a point that is 0.050 m from the center of the disc?
The centripetal acceleration at the point 0.05m from the center of the CD is 72m/s².
The centripetal acceleration of a circular motion is given by,
a = v²/r
Where,
v is the linear velocity,
r is the distance of the particle from the center of the circle,
a is the centripetal acceleration.
The linear velocity is same for each and every particle.
So,
v = √(ar)
If the acceleration at 0.03m is 120m/s², then the acceleration at 0.050m is,
√(120x0.03) = √(a0.05)
a = 72m/s².
So, the acceleration at a distance of 0.050m is 72m/s².
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