For minor displacements, gravity has very little effect on an object's horizontal motion. This suggests that the spin and horizontal are at a little angle and that the horizontal velocity is constant.
Motion is defined as a change in an object's location with respect to time. A book tumbling off a table, water running from a faucet, rattling windows, etc. are examples of motion. In physics, a force is an effect that has the ability to change how an object moves. A mass-containing object's velocity or acceleration can be altered by a force (for example, moving from a condition of rest). Force can also be intuitively described as a push or a pull.
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The complete question is-
when an object effected by gravity on earth is spinning in a non-vertical circle, there is a small angle between the spin of the object and the actual horizontal, explain?
as of 2019 south african runner, wayse Van niekerk holds the world record in 400 m he was able.to maintain an average speed of 9.3 m/s how long did it take him to run the 400 meters
11. A 2 kg chunk of clay moving at 3 m/s collides with and sticks to a 10 kg bowling ball that is
initially at rest. What is the total momentum before the collision?_____
What will be the new MOMENTUM of the clay and bowling ball combination AFTER the collision? ____
Answer:
The total momentum before the collision is 6 kg m/s (2 kg x 3 m/s).
The new momentum of the clay and bowling ball combination after the collision is 6 kg m/s (2 kg + 10 kg x 3 m/s / (2 kg + 10 kg) = 6 kg m/s). According to the law of conservation of momentum, the total momentum of a closed system must remain constant, so the total momentum before and after the collision must be the same.
The velocity of a machine element over a 10 second period is:
V=2.5t m/s 0
V=10 m/s 4
a) If the element is an ideal damper with B=10N-s/m, determine the power absorbed as a function of time, and the total energy dissipated over the 10 s period.
b) If the element represents aerodynamic drag, approximated by the characteristic F=CV^2 determine the power absorbed as a function of time, and the total energy dissipated if C= 1.0 N-s^2/m^2
c) In the time period t<4 s, how does the power absorbed by the two dampers compare? Which damper dissipates the most energy in the 10 s period.
d) At a velocity of 20 m/s, which damper absorbs the most power?
Determine the strength absorbed as a consequence of time and the overall energy dissipated throughout the 10 s period if the element is an excellent damper with B=10N-s/m.
What are some examples of velocity?Velocity can be defined as the rate at which an object moves in a specific direction. as the velocity of a car driving northwest on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
Why is speed referred to be a scalar quantity?Scalar quantities can be described by their size or magnitude alone and do not require any other information. Thus, examples of are 10 cm, 50 sec, 7 liters, and 3 kg.Scalar amounts. Both a size or quantity and a direction, referred to as the quantity's line of action, are characteristics of vector quantities.
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A 12-cm-long spring is attached to the ceiling. When a 2.5 kg mass is hung from it, the spring stretches to a length of 17 cm
A) How long is the spring when a 3.0 kg mass is suspended from it?
The spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.
What is mass and calculation for above answer?
F = k x
In this case, the force is the weight of the 2.5 kg mass, which is equal to 9.81 N (since weight = mass x gravity)Therefore, 9.81 N = k * (17 cm - 12 cm)Solving for k, we get k = 0.29 N/cmTo find the length of the spring when a 3.0 kg mass is suspended from it, we can use Hooke's Law again.The force is now the weight of the 3.0 kg mass, which is equal to 29.43 NTherefore, 29.43 N = 0.29 N/cm x (x - 12 cm)Solving for x, we get x = 21.86 cm, so the spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.The spring constant (k) can be calculated using Hooke's Law, which states that the force (F) exerted by a spring is equal to the spring constant multiplied by the amount of stretch or compression (x)
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A small car meshes with a large truck in a head-on collision. Which of the following statements concerning the momentum during the collision are correct? (There could be more than one correct choice.) a. The momentum of the car is conserved, The momentum of the truck is conserved. b. The momentum of the car-truck system is conserved, but the momentum of each one separately is not conserved. c. The car and the truck must undergo the same change in speed. d. The momentum of the car and the momentum of the truck are each conserved
The small car and the truck experience the same magnitude of momentum change.
The given problem is based on the concept of momentum and law based on it, which is known as Conservation of momentum. As per the law of conservation of momentum, "Whenever there is a collision between the two objects, then the change in momentum before collision is equal to the change in momentum after the collision".
From the conservation of momentum, whatever magnitude of momentum is lost by one of the vehicles will be gained by the other vehicle and momentum will be conserved.
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when the velocity and acceleration of an object have opposite signs, the speed of the object increases.?
The object will be moving faster if the acceleration and velocity are pointing in the same direction. The object will also slow down if the acceleration is pointing in the reverse direction as the velocity.
What is the difference between velocity and speed?Velocity is the pace and direction about an object's movement, while speed is the tracking at which a object is travelling along a path. To put it another way, velocity is a vector, whereas speed is a scalar value.
What is velocity, and what are some examples of it?Simply said, velocity is the rate of movement in a specific direction. such as the velocity of a car driving north on even a highway or the pace at which a rocket takes off. Since the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
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A car tachometer indicates the flywheel is spinning at
1,953 RPM. The flywheel has a diameter of 30.7 cm.
What is the centripetal acceleration in meters per
second squared of a point on the edge of the wheel?
Correct Answer: 6,421
The centripetal acceleration of a point on the edge of the flywheel is 3.40 x 10^3 m/s^2.
What is centripetal acceleration?
Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is necessary to keep the object moving in a circular path.
To calculate the centripetal acceleration of a point on the edge of the flywheel, we can use the formula:
a = (v^2) / r
where a is the centripetal acceleration, v is the velocity of the point, and r is the radius of the flywheel.
First, we need to calculate the velocity of the point. We know that the flywheel is spinning at 1,953 RPM (revolutions per minute), so we can convert this to revolutions per second (RPS) by dividing by 60.
v = 1,953 RPM / 60 sec/min = 32.55 RPS
Next, we need to convert the diameter of the flywheel to radius by dividing by 2.
r = 30.7 cm / 2 = 15.35 cm = 0.1535 m
Now we can substitute these values into the formula to calculate the centripetal acceleration.
a = (v^2) / r = (32.55 RPS)^2 / 0.1535 m = 3.40 x 10^3 m/s^2
So the centripetal acceleration of a point on the edge of the flywheel is 3.40 x 10^3 m/s^2.
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When driving on a straight flat freeway, you keep your foot on the accelerator to keep the car in motion at constant velocity. Which of the following represents this situation? The net force on the car
A. is in the forward direction
B. depends on the car’s speed
C. is toward the rear
D. depends on the car’s engine
E. is zero
Answer: E. is zero
Explanation: According to Newton's first law of motion, any object moving at constant velocity has no net external force acting upon it, which means that the sum of the forces acting on the object must be zero. Given that the car is maintaining a constant velocity, we can say that there is no net force acting on the car.
A string is fixed between the wave driver and pulley located 50.0 cm apart. A 200. g mass is atteched to the end of the string providing the tension. When a wave generator vibrates at 150. Hz the string resonates in the third mode. 50.0 cm OOM Mass 200.g a. Sketch the first 5 modes of vibration for this setup b. Find the wavelength for cach of these modes c. Determine the speed of the wave for each of these modes d. Determine the resonant frequency for each of these modes MODE DIAGRAM WAVELENGTH FREQUENCY WAVE SPEED 1st 50.0 cm 2nd 3rd 150
In scenario a, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.
Determine the speed of the wave for each of these modes ?v = ν λ
v = Wave speed
λ = Wavelength
ν = Frequency
λ = 690.4 nm
Since the wave considered here is visible light,
v = c = 3 * 10⁸ m / s
ν = v / λ
ν = 3 * 10⁸ / 690.4 * 10⁻⁹ m
ν = 434.53 * 10¹² Hz
ν = 434.53 THz
E = h ν
E = Energy
h = Planck's constant
ν = Frequency
h = 6.626 * 10⁻³⁴ J s
E = 6.626 * 10⁻³⁴ * 434.53 * 10¹²
E = 2879.19 * 10²² J
E = 28.79 * 10²⁴ J
E = 28.79 YJ
Therefore, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.
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Two ong; parallel wires separated by 2.40 cm carry currents in opposite directions: The current in one wire 1.30 and the current in the other is 3.10 (a) Find the magnitude of the force per unit length that one wire exerts on the other: The correct answer not zero Nlm (b) Is the force attractive or repulsive? attractive repulsive
a) the magnitude of the force per unit length that one wire exerts on the other: 1.084 × 10⁻⁵ T
b) Force is repulsive in nature.
What is magnetic field?The surface magnetic field and Earth's magnetic field are roughly magnetic dipoles, with the magnetic field's S pole located close to the planet's geographic north pole and the magnetic field's N pole located close to the planet's geographic south pole. The magnetic field, which is created by the movement of molten iron in the Earth's core, shields the globe from cosmic radiation and solar radiation as well as from charged particles. Furthermore, it offers the framework for compass navigation.
a)
Given that,
Two long parallel wires separated by 2.40 cm
The current in one wire 1.30 A
current in the other is 3.10 A
So, magnetic field due to I₁: B₁ = {μ₀ I₁} / 2π(r/2)
B₁ = {12.57× 10⁻⁷ H/m (1.30 A)} / 2π(2.40 × 10⁻² m/2)
B₁ = 1.084 × 10⁻⁵ T
So, magnetic field due to I₁: B₂ = {μ₀ I₂} / 2π(r/2)
B₂ = {12.57× 10⁻⁷ H/m (3.10 A)} / 2π(2.40 × 10⁻² m/2)
B₂ = 2.168 × 10⁻⁵ T
Thus, the net magnitude of magnetic field (B) = B₂ - B₁
or, B = 1.084 × 10⁻⁵ T
b)
Force is repulsive as currents are opposite in direction
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jacob, thinking aloud, says several things about electric fields and field lines. which of his statements is true?
Electric field is a vector and it is the force experienced by unit positive charge free move acceleration electric field. 2) Because the electrostatic attraction is quantized, it found in specific regions of space.
The correct answer is B
Are particle pathways found in electric field lines?The route of a particle in an electric field is not along the field lines. It indicates the force, and consequently the acceleration, at each place. A particle's direction of motion is determined by its velocity. Acceleration and velocity don't always point in the exact same direction.
Electric field is a vector and it is the force experienced by unit positive charge free to move inside an electric field.
The direction of electric field is away from positive charge and towords for negative charge.
The direction of electric field is in the directioon of unit positive charge free to move.
What do the lines in an electric field stand for?Result for an image The pathways of particles are represented by electric field lines. Electric field lines provide details on the strength and direction of an electromagnetic current in a given area of space. If the lines coincidentally cross at.
(1) Therefore electric field lines represents path of charged particle Therefore the given ststement is false.
(2) Electric field lines are conninous in space
Therefore the given ststement is false.
(3) The electric flux is the number of electric lines of force crossing
per unit area, that is density of field lines.
Thus the magnitude of electric field proportional to density of field lines Therefore the given statement is True.
(4) Electric field lines are imaginary curves around a unit positive charge and not real and not for the material objects.
Therefore the given statement is False.
Therefore out of above only true statement is (3).
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The correct question is
Several Things About Electric Fields And Field Lines. Which Of His Statements Is True? And Why several things about electric fields and field lines. Which of his statements is true? and why
1) Electric field lines represent the paths of particles.
2) The electric field is quantized and exists only in certain parts of space
3) The relative magnitude of the electric field is proportional to the density of the field lines
4) Electric field lines are material objects.
Why does the norm(s) exist? What can you find/do you believe is the purpose behind this norm in the
sport?
The boundaries between what is acceptable and unacceptable behavior are set by norms.
What are the rules of sports?
Norms establish the parameters for what is proper and improper conduct. The majority of teams do not establish a set of codified norms, even though team members frequently abide by standards. Teams may have norms for a range of difficulties.
Norms are a key idea in the social sciences. Most frequently, they are referred to as rules or expectations set by society. There are two types of norms: prescriptive (encouraging good behavior, like "be honest") and proscriptive (forbidding bad behavior, like "do not cheat").
Humans need norms to regulate their behavior, maintain predictability and stability in interpersonal interactions, and comprehend and make sense of one another's actions. These are some.
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The tropospheric lapse rate (the rate at which temperature decreases with altitude) is approximately 6C per kilometer. Given that the mean surface temperature of Earth is 288K and the effective radiating temperature is 255K, from what altitude does most of the emitted radiation derive?
The lapse rate is the rate at which an atmospheric variable, usually temperature, decreases with altitude. The temperature drops by 1 degree Celsius for every 165 metres of height gain. This is known as the usual lapse rate.
What is the rate of tropospheric lapse?The tropospheric lapse rate is around 6.1 K/km in the Northern Hemisphere (NH) and over the ocean, and approximately 6.2 K/km over the continents. At low latitudes, the value of drops to 6.5 K/km at polar latitudes.
Temperatures in the atmosphere drop with height at a rate of 6,5°C (11,7 °F) every kilometre on average.
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when an object moves in uniform circle motion, both the radius of the path and the [ select ] remain constant.
No statement is true if an object moves in uniform circle motion, both the radius of the path and the [ select ] remain speed constant.
The correct answer is true
What do you mean by a motion?In physics, motion changes over time depending on a body's position or orientation. Translation is the action of moving along the line or curve.
Which motion law is the first?According to the First Law of Movement (inertia), unless acted upon by an unbalanced force, an object at rest stays at rest, or an object in motion continues to move
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The correct question is
An object moves with constant speed in a circular path. Which of the following statements is/are true?
1. The velocity is constant
2. The acceleration is constant.
3. The net force on the object is zero, since the speed is constant.
How much work is done if a force of 20N is used to move an object 6 metres?
Answer:
120 Joules
Explanation:
The work is done if a force of 20 N is used to move an object 6 meters is 120 Joules.
Block A in (Figure 1) has mass 1.00 kg, and block B has mass 3.00 kg. The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.50 m/s. What is the final speed of block A?
With block B's mass being 3 kg and block A's mass being 1 kilogramme, block A's final speed in Figure 1 is 4.5 kg*m/s. A spring S between the blocks is compressed when they are crushed together.
The system is then released from rest on a smooth surface devoid of friction. Block A in Figure 1 weighs one kilogramme, while Block B has a mass of three kilogrammes. The system is permitted to come to rest on a flat surface without friction once the blocks are brought together, compressing a spring S between them.
Pb2 = 3.0 * 1.50 = 4.5 kg/m/s and Pb1 = 0, P2 = 0, respectively.
As P2 = PA2+Pb2 = 0,
pa2 = -pb2, pa2 = -4.5 kg*m/s,
-4.5 = 1, and va2 = 4.5 kg*m/s, respectively.
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How to Distinguish Between Seismic, Pulse, and Periodic Waves
Step 1: Determine if the wave travels through the Earth.
Step 2: Determine if the wave is from a sudden disturbance and dies down quickly.
Step 3: Determine if the wave continues for several cycles (not from a sudden disturbance).
Step 4: Analyze the results, remembering that waves can be more than one type of wave.
If the wave travels through the Earth, it is a seismic wave.
If the wave is from a sudden disturbance and dies down quickly, it is a pulse wave.
If the wave continues for several cycles, it is a periodic wave.
Seismic waves are characterized by long wavelength and low frequency, pulse waves by short wavelength and high frequency, and periodic waves by regular wavelength and frequency.
What are the different characteristics of Seismic, pulse, and periodic waves?Seismic waves are created by movement of the Earth's crust and are caused by earthquakes, volcanic eruptions and other geological events. They are characterized by their long wavelength and low frequency.
Pulse waves are created by a single, localized event, such as a rock slide or a meteor impact. They have a single crest and trough and are characterized by their short wavelength and high frequency.
Periodic waves are created by repeating source, such as vibrating tuning fork or guitar string. They are characterized by regular wavelength and frequency.
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Even though it is a relatively clean source of energy, which of the following is a disadvantage of hydroelectric power? A) the water used needs to be chemically treated immediately upon leaving the powerhouse
B) the electricity generated has a lower voltage than electricity generated by traditional coal and natural gas plants
C) the generators are more complex than coal or gas generators and are expensive to purchase and maintain
D) it is not an effective power source in regions which traditionally experience less rainfall
E) it can alter the ecosystems above and below the dam site
The disadvantage of Hydroelectric power is that it can alter the ecosystems above and below the dam site.
The answer is option E.
Hydroelectric power is produced by making use of the gravitational force of falling water. Let's understand the process to learn about its disadvantages.
A dam is an essential component to this process that is constructed on a water source, like a river. It is an enormous wall that obstructs the flow of the river and collects water behind it.
There is an inlet close to the dam's base from which water is pumped into the structure. This intake results in a drop that enters the dam through the penstock. Here, a turbine is employed to harness the energy of the water falling. Turbines are also used in thermal power plants, although there are several key distinctions between steam turbines and hydro turbines. A shaft connects the generator with the turbine. Electricity is produced when the water turns the turbine.
New roads and electricity lines that disturb the environment and uproot people must be built in order to construct a dam. Additionally, reservoirs created by dams can flood wide regions and uproot natural ecosystems. Dams cause flooding, killing vegetation that rots and releases greenhouse gases. The migration of fish can also be severely impacted by blocking water flow.
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which statement about electric and magnetic fields is true? responses magnetic fields must start at the north pole of a magnet and end at the south pole of a magnet. magnetic fields must start at the north pole of a magnet and end at the south pole of a magnet. electric fields and magnetic fields loop from north to south. electric fields and magnetic fields loop from north to south. electric fields and magnetic fields start at a postive and end at a negative. electric fields and magnetic fields start at a postive and end at a negative. electric fields must leave a positive charge and end on a negative charge.
The correct statement is : Magnetic fields must start at the north pole of a magnet and end at the south pole of a magnet.
The magnetic field is the area around a magnet in which the effect of magnetism is felt. We use the magnetic field as a tool to describe how the magnetic force is distributed in the space around and within something magnetic in nature.A magnetic field is a vector field in the neighbourhood of a magnet, electric current, or changing electric field in which magnetic forces are observable. A magnetic field is produced by moving electric charges and intrinsic magnetic moments of elementary particles associated with a fundamental quantum property known as spin. Magnetic field and electric field are both interrelated and are components of the electromagnetic force, one of the four fundamental forces of nature.Magnetic field lines are a visual tool used to represent magnetic fields. They describe the direction of the magnetic force on a north monopole at any given positionThe density of the lines indicates the magnitude of the field. Taking an instance, the magnetic field is stronger and crowded near the poles of a magnet. As we move away from the poles, it is weak, and the lines become less dense.To know more about magnetics visit:
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a raw egg dropped to the floor breaks apart upon impact. however, a raw egg dropped onto a thick foam rubber cushion from a height about 1m rebounds without breaking. why it is possible?
If you drop another egg from the same height onto a pillow, it will not break (better get a grownup to help with this). The change in momentum of the egg is the same in both cases, but the time required is not.
The egg dropped on the floor comes to a halt very quickly, indicating that the force on the egg is great, and it breaks.
Momentum is a term that is frequently used in sports. A team with momentum is on the move and will take some effort to stop. A team with a lot of momentum is really on the move and will be difficult to stop. Momentum is a physics term that refers to an object's amount of motion. The momentum belongs to a moving sports team. If an object is in motion (moving), it has momentum.
Momentum is defined as "mass moving." Because all objects have mass, if an object moves, it has momentum - its mass is in motion.
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We want to know how a student’s level of education and their gender impacts both their annual income and amount of student loan debt. However, we want to account for the annual income of the student’s parents as well. What is the dependent variable?
The dependent variable in this scenario is the annual income and the amount of student loan debt of the student. The independent variables are the level of education and gender of the student, and the annual income of the student's parents.
What is the dependent variable?The dependent variable is the variable that the research aims to investigate or measure. In this case, the dependent variable is the annual income and the amount of student loan debt of the student. The research aims to understand how the level of education and gender of the student impact their annual income and student loan debt.
Therefore, the research aims to investigate the relationship between the student's level of education and gender with their annual income and amount of student loan debt, while taking into account the annual income of the student's parents as a potential confounding variable.
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Calculate the slant height for the given cone. Round to the nearest tenth. a.10.2 cmb.11.4 cmc.9.8 cmd.12.0 cm
The slant height for the given cone. Round to the nearest tenth. The slant height is 9.8 cm, and the slant height is 11.4 cm.
1) The slant height = 9.8 cm
2) The slant height = 11.4 cm
1) The slant height of the cone = √[(radius)² + (height)²]
Diameter = 8 cm
Radius = 4 cm
Height = 9 cm
Slant height = √(4² + 9²) = √97 = 9.8 cm.
2)The slant height of the cone = √[(radius)² + (height)²]
Diameter = 18 cm
Radius = 9 cm
Height = 7 cm
Slant height = √(9² + 7²) = √130 = 11.4 cm.
The slant height of a pyramid or cone is a critical property. It essentially measures the height of the apex, but along the slant of one of the lateral faces.
Unless the cone is a right circular cone or a right regular polygonal pyramid, the slant height will not be consistent from place to place, making it ineffective. As a result, I'll stick to the right circular cones, the right regular polygonal pyramids, and other right cones with simple bases over here.
The slant height is the shortest possible distance along the solid's surface from the base to the apex. It is usually denoted by either s or l.
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The _______________ of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently
The velocity of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently.
The competitiveness of an organization is achieved in conjunction with various organizational actions, such as its strategy and management. Some of the most essential characteristics to achieve competitive advantages are through innovation, quality of products and services, and organizational ethics. With the increase in competitiveness in the globalized environment, companies need to stand out in several areas, therefore, several projects are implemented simultaneously, requiring management Task delegation, Focus and consistency, Cooperation, Task prioritization, Use of resources and information systems, Communication developed and Feedback, etc. Therefore, to remain competitive, a company must be innovative and offer value to its stakeholders through joint efforts.
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The table below describes some methods used to generate electricity. What is method 1?
Answer:
More importantly where is the table?¿
Cold cabin? The Fathom screen shot below shows the results of taking 500 SRSs of 10 temperature readings from a population distribution that is N(50,3) and recording the sample variance s2x each time. (a) Describe the approximate sampling distribution. (b) Suppose that the variance from an actual sample is s2x=25. What would you conclude about the thermostat manufacturer's claim? Explain.
(a) The approximate sampling distribution of the sample variance, s2x, is a chi-squared distribution with n-1 degrees of freedom, where n is the sample size (in this case, 10).
What is sampling distribution?(b) If the variance from an actual sample is s2x = 25, it would suggest that the thermostat manufacturer's claim of a population variance of 3 is not accurate. This is because a sample variance of 25 is much larger than the claimed population variance of 3, indicating that the thermostats do not maintain a consistent temperature as claimed. Additional investigation would be needed to confirm whether this is due to a manufacturing issue or some other cause.To learn more about sampling distribution refer:
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A 1.0-kilogram laboratory cart moving with a velocity of $0.50$ meter per second due east collides with and sticks to a similar cart initially at rest. After the collision, the two carts move off together with a velocity of $0.25$ meter per second due east. The total momentum of this frictionless system is
(A) zero before the collision
(B) zero after the collision
(C) the same before and after the collision
(D) greater before the collision than after the collision
Option C is the right response because the momentum was the same prior to and following the impact. Imagine a scenario where a laboratory cart that weighs 1 kg and is travelling straight east at a speed of 0.50 m/s
Collides with another cart that is originally at rest and is carrying a comparable weight. This demonstrates the conservation of momentum. Is the momentum constant prior to and following the collision, In physics, an elastic collision is a collision between two bodies in which the total kinetic energy remains constant. In an ideal, elastic collision, there is no net conversion of kinetic energy into heat, noise, or potential energy. The definition of momentum is mass in motion.
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Taking the age of Earth to be about 4 x 10 years and assuming its orbital radius of 1.5 x 10¹1 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its
birth in decimals. (In a frame of reference stationary with respect to the Sun).
The approximate total distance Earth has traveled since its birth exists[tex]$3.8 \times 10^{21} \mathrm{~m}$[/tex].
What is meant by circular orbit?The simplest types of orbits in celestial mechanics are circular orbits, in which an orbiting body moves around a gravitational mass while maintaining a constant radius.
The Earth orbits the Sun in a circle with radius r, and one full rotation takes one year. Thus in a year it travels a distance equal to [tex]$2 \pi r$[/tex], which exists the circumference of the Earth's orbit.
Therefore in n years that have elapsed, it would travel a distance d given by, [tex]$d=2 \pi r n$[/tex]
Substitute 3.14 for [tex]$\pi, 1.5 \times 10^{11} \mathrm{~m}$[/tex] for r and [tex]$4 \times 10^9$[/tex] for n.
Let the equation be
[tex]$$\begin{aligned}& d=2 \pi r n \\& =2(3.14)\left(1.5 * 10^{11} \mathrm{~m}\right)\left(4 * 10^9\right) \\& =3.768 * 10^{21} \mathrm{~m}=3.8 * 10^{21} \mathrm{~m}\end{aligned}$$[/tex]
Therefore, the approximate total distance Earth has traveled since its birth is [tex]$3.8 \times 10^{21} \mathrm{~m}$[/tex].
The complete question is:
Taking the age of Earth to be about 4×10^9 years and assuming its orbital radius of 1.5 ×10^11 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun).
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A ladder rests against a vertical wall. There is no friction between the wall and the ladder. The coefficient of static friction between the ladder and the ground is µ =0.611.
Consider the following expressions:
A1: f = Fw
A2: f = Fw sin θ
B1: N =
W
2
B2: N = W
C1: ℓ Fw sin θ = 2 Fw cos θ
C2: ℓ Fw sin θ = ℓ W cos θ
C3: ℓ Fw sin θ =
1
2
ℓ W cos θ ,
where
f: force of friction between the ladder and
the ground,
Fw: normal force on the ladder due to the
wall,
θ: angle between the ladder and the ground,
N: normal force on the ladder due to the
ground,
W: weight of the ladder, and
ℓ: length of the ladder.
(Pt. 1/2) Identify the set of equations which is correct.
1. A2, B2, C1
2. A2, B1, C2
3. A1, B2, C2
4. A2, B1, C1
5. A1, B1, C2
6. A1, B1, C3
7. A1, B1, C1
8. A2, B1, C3
9. A1, B2, C3
10. A1, B2, C1
(Pt.2/2) Determine the smallest angle θ for which the
ladder remains stationary.
Answer in units of °.
Answer:
the answer is Number nine
Please use the interactive area below to recreate the Free Body Diagram from the video. The video shows the case where a man is pulling the crate and where friction is involved. You can pause the video around 1 min and 35 seconds in to see the correct FBD.
An object of interest is sketched in a free-body diagram, with all of its surroundings removed and all of the forces operating on the body clearly visible.
In order to visualize all the forces acting on a single item, a free-body diagram must be drawn. This is a crucial stage in the solution of mechanics issues. The simplified representations of an item (the body) and the force vectors acting on it in a problem are called free body diagrams, or FBDs. This body is unencumbered by its surrounds because the diagram will portray it that way; it is thus said to be "free." Using free-body diagrams, you may compute reactions in mechanics issues and depict the forces and moments acting on a body.
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The complete question is:
Please use the interactive area below to recreate the Free Body Diagram (See. Pic 3) from the video. The video shows the case where a man is pulling the crate and where friction is involved. You can pause the video around 1 min and 35 seconds in to see the correct FBD.
Point charges 1 and 2 have charges Q and Q, and are held 3.0 mm apart. The point charges exert an attractive force of 16 N on each other. Which of the following are possible values for the charges? A) Q1 = +1.3 x 10^-7 C and Q2 = +1.3 x 10^-7 C B) Q1 = +1,0 x 10^-7 C and Q2 = +1.6 x 10^-7 C C) Q1 = +1.0 x 10^-7 C and Q2 = -1.6 x 10^-7 C
D) Q1 = +1.0 x 10^-6 C and Q2 = +5.3 x 10^-6 C E) Q1 = +1.0 x 10^-6 C and Q2 = -5,3 x 10^-6 C
The point charges exert an attractive force of 16 N on each other. The charge obtained is Q₁ = 1.6 × 10⁻⁷ C and Q₂ = -1.6 × 10⁻⁷ C. The correct option is option (B).
Given force F = 16N
d = 3.0 mm = 3.0 × 10⁻³m
The force between the two charges is given by:
F = ( k × Q₁ × Q₂) ÷ d²
16 = ((9 × 10⁹) ÷ (3.0 × 10⁻³)) (Q₁ × Q₂)
(Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C²
Since, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² the force is attractive.
The charges must be of opposite signs.
Q₁ = 1.6 × 10⁻⁷ C
Q₂ = -1.6 × 10⁻⁷ C
Now, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² therefore, the correct option is option (B).
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