The angular acceleration as a function of time is found to be -2βt.
The instantaneous angular acceleration is found to be -4.18rad/s².
The average angular acceleration is found to be -2.09rad/s².
What is average angular acceleration?The ratio of the change in angular velocity to the time it takes for the object to experience the change is known as the average angular acceleration, or avg., of an object. The limit of the average angular acceleration as time approaches zero is known as the instantaneous angular acceleration.
Given:
a)w = z(t)= γ − β×t²
By separating the two sides in terms of t, we obtain
α = z(t) = -2βt
b)Given: γ = 4.65rad/s and β = 0.775 rad/s³
so, For t = 2.7 sec,
angular acceleration = -2 × 0.775× 2.7 = -4.18rad/s.
c) average angular acceleration α avg = ΔW₂(t)/Δt
α avg = W₂ ×2.7 - W₂ ×0/2.7-0
α avg = γ - β(2.7)² - [γ - β(0)²]
α avg = -β (2.7)²/2.7
α avg = β (2.7)
α avg = 0.775 (2.7)
α avg = -2.09rad/s².
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Please help if you can!
2. You will need a magnifying glass and a small piece of scrap paper for this demonstration.
a. Go outside on a sunny day and put the piece of paper on a patch of asphalt, concrete, or a large flat
rock. Make sure there is no other combustible material or debris in the vicinity.
b. Hold the magnifying glass so it is close to the paper, with rays of sunlight shining through it. Move the magnifying glass side to side and close or away from the paper until the most concentrated ray of light is shining on the paper. This is the focal point for that magnifying glass.
C. Measure the distance between the focal point and magnifying glass. This is the focal length for that magnifying glass. (Be careful; if you hold the magnifying glass in that place for long enough, the paper will catch fire. Do not ever do this on your skin or clothing, as it can cause serious burns.)
d. Now take the magnifying glass inside and use it to look at the it words in a book. What is the focal
length now?
Answer:
b
Explanation:
Considering that the volume remains unchanged during the experiment, how does the total pressure in the bulbs change if the reaction is allowed to go to completion?There is not enough information to determine how the total pressure wll change.The total pressure will remain constant The total pressure will decrease. The total pressure will increase.
Considering that the volume remains unchanged during the experiment, the total pressure will decrease.
What is pressure?The pascal (Pa), or one newton per square meter (N/m²), is the SI unit for pressure. A unit of surface area is used to define pressure as force. The area that an object affects and the force it applies are both inversely proportional to the pressure that object exerts..
Pressure has a significant impact on all aspects of our lives, including the weather and flying. It is particularly significant during chemical reactions. Chemists can accelerate the transitions between solids, liquids, and gases as well as force chemical reactions to take place by varying the pressure.
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Complete question is attached below.
4) a very elastic rubber ball is dropped from a certain height and hits the floor with a downward speed v. since it is so elastic, the ball bounces back with the same speed v going upward. which of the following statements about the bounce are correct? (there could be more than one correct choice.) a) the ball had the same momentum just before and just after the bounce. b) the magnitude of the ball's momentum was the same just before and just after the bounce. c) the ball's momentum was conserved during the bounce. d) none of the above statements are correct.
When dropped from a specific height, a very stretched rubber ball hits the ground quickly to the left. The elastic nature of the ball causes it to rebound with
What has Elastic been famous for?
Elasticsearch, the centerpiece of the Elastic Stack, a collection of free and open technologies for data intake, enrichment, storing, analysis, and visualization, is renowned for its straightforward REST APIs, decentralized nature, speed, and scalability.
Where can you find elastic?
Designed to feel soft on the skin, cord elastic is frequently used in clothes that doesn't need as much stretch as well as in jewelry making. It's a fantastic choice for doll clothing or baby garments because of its tiny size. Often, cord elastic is used.
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. a roller-coaster car moves ft horizontally and then rises ft at an angle of above the horizontal. it next travels ft at an angle of downward. what is its displacement from its starting point? use graphical techniques.
171 feet at an inclination above horizontal. then rises ft at an angle above the horizontal. it next travels ft at an angle of downward
What is its distance from its beginning point, according to the image?The displacement is only the difference between the locations of the two and is unrelated to the route used to get there. The length of the path between the two markings, however, is the distance traveled.
How do you detect displacement, and what is it?The term displacement refers to a shift in an object's position. It has a magnitude and direction and is a vector quantity. For instance, if an object shifts from location A to position B, its position changes. use graphical techniques.
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A car travel from A to town B 145km distance in 3hrs 45min. Find it's average speed (a) in km/hr (b) in m/s
Answer:
39 km/hr (rounded)
Explanation:
use the equation speed=distance/time
Answer:
Explanation:
3hrs 45mins = 3 3/4 hours or 15/4 hours
average speed = 145km/15/4 = 145 x 4/15 = 29 x 4/3 = 38.67 km/h
m/s = 5/18 km/h
38.67 x 5/18 = 10.74 m/s
3. A 3-kg block moving 4 m/s to the right collides with an 8-kg block moving 2 m/s to the left.
a) If the two blocks stick together, what is the final velocity?
b) If the two blocks collide elastically and the 3-kg block moves to the left at 1 m/s, what is the final velocity of the 8-kg block?
c) How much kinetic energy is "lost" in the collision in a)?
The momentum in a collision is conserved. From this, the final velocity of the coupled mass is 2.5 m/s. The final velocity of the 8 kg mass will be 3.1 m/s in the elastic collision.
What is elastic collision ?In elastic collision, the total kinetic energy of the system is conserved. Hence, the initial kinetic energy of the colliding system is equal to the sum of their final kinetic energy.
Given m1 = 3 kg
u1 = 4 m/s
m2 = 8 kg
u2 = 2 m/s
v be the final velocity of the coupled mass.
then, m1 u1 + m2 u2 = (m1 + m2) v
(3 kg × 4 m/s) + (8kg × 2 m/s) = (8 kg + 3 kg)v
v = 2.5 m/s
If the blocks are moving in opposite direction after collision, then the velocity of 8 kg mass is calculated as follows:
(3 kg × 4 m/s) + (8kg × 2 m/s) = (3kg × 1 m/s) + (8 kg × v2)
28 kg m/s - 3 kg m/s = 8 v2
v2 = 3.1 m/s.
The change in kinetic energy for the in elastic collision is given as:
ΔKe = m1(u1)² + m2(u2)² - (m1 + m2)v²
= (3 kg ×16 m²/s²) + (8 kg× 4 m²/s²) - (8 kg + 3 kg)6.25 m²/s²
= 11.25 J.
Therefore, the kinetic energy lost in the inelastic collision is 11.25 J.
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you are the driver in the photo. your front zone is closed. what other related zone will you check at this moment, and what is the condition of that zone?
If the front zone in front of the driver is closed, the other zone which you will be able to check is the rear zone.
The closed zone refers to a space which is not open to view because of the restriction in the line of sight or intended path of travel.
A yellow or red traffic signal, a yield sign, or something moving into your intended route of movement are all indicators of a closed front zone. You must be ready to slow down or stop if you have seen a closed zone at a junction. Check your back zone as soon as you locate a closed zone. Start braking if it is already open. If the rear zone is closed, lightly press the brake pedal a few times to signal to the driver in back that you are stopping.
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30 J of work are done in 15 econd to puh a bowl of fruit horizontally. What wa the power delivered completing thi tak?
The power delivered in completing this task is 2,400 W.
What is power?Power is the ability or capacity to do or act. It is the capacity to influence others through either force or authority. Power is derived from a variety of sources including physical strength, political authority, and social status. Power can also be used to create, maintain, and change systems of behavior, thought, and belief. Power can be seen as an influence that one person or group has over another, with the capacity to make decisions and influence outcomes. Power can be used to accomplish both positive and negative goals. Ultimately, power is a tool that can be used to bring about change in the world.
Power = Work / Time
Power = 30 J / 15 s
Power = 2,400 W
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Why is it important to include a section on your procedures and methods, as well as the materials you used, in a laboratory report about an experiment?
a.so readers know that your hypothesis was correct
b.so you don’t have to provide as much information about the results
c.so the experiment can be replicated by other scientists
d.so you can do the experiment more cheaply later
c. so the experiment can be duplicated by other scientists. It includes detailed information about the procedures used in an experiment, as well as the materials used. It is important because it allows other scientists to repeat the experiment to confirm the results.
Why is it an important part of scientific process?This is a crucial part of the scientific process and helps to establish the validity and reliability of the results. Having a clear and detailed record of the experiment also ensures that it can be repeated in the future, and provides a basis for further research and experimentation.
What are scientific methods of experimentation?he scientific method is a systematic and objective approach to solving problems and answering questions through empirical observation and experimentation.
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what is the weight of an object in pounds that has a mass of 49 slugs? round your answer to three significant figures.
When the mass is 49 slugs, the item weight 407.68lbf.
What is a weight example?The International System of Units (SI) defines the newton as the unit of force, which is used to measure weight. For instance, a kilogram of matter weighs around 9.8 newtons on Earth's surface and roughly one-sixth as much on the Moon.We can not convert Kg to Newton, because Newton is a unit of Force whereas Kg is the unit of mass respectively.One newton is equal to 1 kilogram meter per second squared
Mass = m = 49 slugs
g=8.32ft/[tex]s^{2}[/tex]
To find weight:
Weight = mg
W = 49*8.32 ft/[tex]s^{2}[/tex]
W= 407.68
W= 407.68lbf
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The complete question is :
what is the weight of an object in pounds that has a mass of 49 slugs when g is 8.32 ft/[tex]s^{2}[/tex]? round your answer to three significant figures.
A tiny insect is trapped 1.0 mm from the center of a spherical dewdrop 4.0 mm in diameter.
As you look straight into the drop, what is the insect's apparent distance from the drop's surface?
Express your answer using two significant figures. Answer is in mm.
On the same side as the object, the distance is negative, so the apparent distance of the insect from the drop's surface is -3.0 mm. This means the insect appears to be 3.0 mm inside the surface of the drop.
Calculation-The apparent distance from the drop's surface can be calculated using the formula for the radius of curvature of a spherical mirror, which is given by:
1/R = (n-1)(1/R1 + 1/R2)
Where R is the radius of curvature of the spherical mirror, n is the refractive index of the medium between the object and the mirror, R1 is the distance of the object from the mirror, and R2 is the distance of the image from the mirror.
In this case, the dewdrop is the spherical mirror and the insect is the object. Since the dewdrop is filled with water, which has a refractive index of about 1.33, the insect is in the air which has a refractive index of 1.R1 = 1.0 mm (distance of the object from the center of the spherical mirror)
R2 = ? (distance of the image from the center of the spherical mirror)
1/R = (1 - 1)(1/1.0 mm + 1/R2)
R2 = -1/ (1/1.0 mm - 1/R)
We know that R = (4.0/2) mm = 2.0 mm, so we can substitute that into the equation and solve for R2:
R2 = -1/ (1/1.0 mm - 1/2.0 mm)
R2 = -3.0 mm
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Part C Find the average momentum density (momentum per unit volume) in the light at the floor: Express your answer in kilograms per square meter second: Azd kg/m? Submit Request Answer
The average momentum density in the light at the floor without additional information such as the intensity, wavelength, and area of the light.
To find the average momentum density (momentum per unit volume) in the light on the floor, we would need additional information such as the intensity and wavelength of the light, as well as the area of the floor that the light is illuminating.
The formula for momentum density is given by p=I/c where I is the intensity of the light, c is the speed of light, and p is the momentum density. Without this information, it is not possible to provide an accurate answer for the average momentum density in the light on the floor in kilograms per square meter per second.
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a test of the prototype of a new automobile shows that the minimum distance for a controlled stop from 90 km/h to zero is 54 m. find the acceleration, assuming it to be constant as a fraction of the free-fall acceleration. the acceleration due to gravity is 9.81 m/s 2
A fraction of the free-fall the acceleration due to gravity acceleration of the car is -0.64525g .
Why gravity is a force?However, in the broader sense, gravity is indeed a force because it describes the resulting interaction between two masses. Gravitational effects are fundamentally caused by the warping of spacetime and the motion of objects through the warped spacetime. However, the end result is as if a force was applied.
Is gravity 9.8 m?Gravity is measured by the acceleration that it gives to freely falling objects. At Earth's surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second.
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a constant force applied to a 2.0 kg object at rest moves it 4.0 m in 2.0 seconds. what impulse was applied?
A constant force applied to a 2.0 kg object at rest moves it 4.0 m in 2.0 seconds. The impulse of the force applied is 4kg m/s.
What is Impulse?
Impulse is a term which is used to describe or quantify the effect of force which is acting over time to change the momentum of an object. Impulse is represented by the symbol J and it is usually expressed in the SI unit as Newton-seconds or kg m/s.
Impulse = Change in momentum = ΔP
Momentum = m × v
ΔP = mv -mu
ΔP = 2.0 × 4/2 - 2.0 × 0
ΔP = 2.0 × 2 - 0
ΔP = 4kgm/s
The impulse of force applied is 4 kg m/s.
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Express the force as a Cartesian vector. F 750 N Prob. F2-17
A force vector with magnitude 750 N and angle 30⁰ can be written as a Cartesian vector as: F = 375√3 i + 375 j
A vector can be written as its x-component and y-component.
Suppose the angle of a vector F with the positive x-axis is θ, then its components are given by:
Fx = F cos θ
Fy = F sin θ
Then,
F = Fx i + Fy j
= F cos θ i + F sin θ j
In the given problem, θ = 30⁰, F = 750.
Hence,
Fx = 750 cos 30⁰
= 750 (1/2)√3 = 375√3
Fy = 750 sin 30⁰
= 750 (1/2) = 375
Thus, the vector can be written as a Cartesian vector:
F = 375√3 i + 375 j
Your question is incomplete, most likely your question was:
Express the force as a Cartesian vector. F 750 N. The angle of the force vector with the horizontal is 30⁰.
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variations in the density of the earth's crust do not affect the value of the gravitational constant g at all. true false
The given statement is false, variations in the density of the earth's crust do not affect the value of the gravitational constant g at all.
What's the density of the Earth's crust?When compared to oceanic crust, which is basaltic (i.e., richer in iron and magnesium than granite) and has a density of about 2.9 to 3 grammes per cubic cm, continental crust is generally granitic and has a density of about 2.7 grammes per cubic cm.
The Earth has a density of 5.513 g/cm³. This represents the planet's entire material on average. Since water is less dense than iron, an average is required for usability.
G's value is independent of the types and dimensions of the bodies. Furthermore, it is independent of the type of medium separating the two bodies. Because of this, G is known as the universal gravitational constant.
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an object is thrown upward with a speed of 14 m/s on the surface of planet x where the acceleration due to gravity is 3.5 m/s2. what is the speed of the object after 8.0 s?
The velocity of the hammer after 8 sec will be 14 m/s in the downward direction which is represented by the negative symbol.
Calculation=
a=-3.5 m/s^2
so v= u +at
u =14 m/s
so v= 14-8*3.5
=-14 m/s
so its speed will be 14m/s downward
How fast are they?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
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The vernier caliper reads a distance of ___O 3.07 cm. O 3.50 cm. O 3.70 cm. O 3.97 cm.
The vernier caliper reads a distance of 3.07 cm. So option A is correct.
The Vernier caliper is a precision measuring instrument that is used to measure internal and external dimensions with high accuracy. The vernier scale allows for measurements in increments that are smaller than the smallest division on the main scale.
Additionally, the object being measured should be securely held in place and parallel to the jaws of the caliper. The reading on the vernier scale is then combined with the reading on the main scale to give the final measurement.
In the case of the question, the reading is 3.07cm, but it's important to note that without more information about the context of the measurement, the reading could be different.
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describe a way you can use the information from the video to determine whether the ball is moving with a truly constant velocity.
the video data to determine whether the ball is moving with constant velocity write whether you believe the ball is slowing as it approaches the can: Use evidence to back up your claim: B I U 6 = = = 8 D fx.
Velocity is a vector measurement of motion's rate and direction. Simply put, velocity is the rate of movement in one direction. Velocity can be used to calculate the speed of a car traveling north on a major highway and the speed of a rocket launching into space.
The velocity vector's scalar (absolute value) magnitude, as you might expect, is the speed of motion. Velocity is defined as the first derivative of position with respect to time in calculus. A simple formula involving rate, distance, and time can be used to calculate velocity.
Though they represent different measurements, speed, velocity, and acceleration are all related. Take care not to confuse these values.
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how far from the center of the stick must the rope be attached in order to maintain rotational equilibrium?
To balance the stick, the rope has to be closer to a heavier side of the block in order to maintain rotational equilibrium.
Rotational equilibrium: What Is It?Rotational equilibrium, If all of the torques working on an item are equal to zero, then the item is in rotational equilibrium and its angular momentum remains constant. If an object is hung out of its center of gravity or if its gravity centers falls below the suspension point, then the item will be in equilibrium.
What elements impact the equilibrium of rotation?A body must not be experiencing any angular acceleration and must have a net torque of zero in order to achieve rotational equilibrium. To maintain a body in rotational equilibrium when a torque is acting on it, an opposite and equal offset torque must be delivered to the body.
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4. a 1000 kg sports car moving at 20 m/s crosses the rounded top of a hill (radius of 100 m). determine a) the normal force on the car, b) the normal force on the 70 kg driver, and c) the car speed at which the normal force equals zero.
The normal force on car is 62167 N.
Given information:
mass of car m(car) = 1000kg
speed of car v = 20m/s
radius of path r = 100m
mass of driver m = 70kg
The weight of the car and driver
a) W = (m (car) + m) g
= 10496.7 N
The centripetal force of applied to the car and driver.
F(c) = ( Mcar + M) V²/R
The expression for the force balance along the normal direction is:
W = N - F(c) --------------------equation1
N = 62167 N
b) The weight of driver is:
N = W - mv²/r
= 406.7 N
c) From the equation 1, if normal force is zero.
v² = rg
By putting value in this equation
v = 31.32 m/s
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describe how you might use the color of a galaxy to determine something about what kinds of stars it contains.
The color of a galaxy can be used to determine something about what kinds of stars it contains by looking at the relative amounts of blue and red light.
How does the chemical composition of a galaxy relate to its color?The chemical composition of a galaxy is closely related to its color because the color of a galaxy is determined by the types of stars it contains. Galaxies that contain mostly young, hot, and blue stars will appear blue, while galaxies that contain mostly older, cooler, and red stars will appear red. The presence of elements such as hydrogen, helium, and oxygen can also affect a galaxy's color. For example, galaxies that contain high amounts of these elements tend to have more star formation, leading to a higher number of blue stars, and as a result, a bluer galaxy. The chemical composition also affects the brightness of the galaxy, with the galaxies that contain higher amounts of heavy elements tend to be brighter.
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1. What is the speed of each seat? Answer in units of m/s.
2.If a child of mass 35.2 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.
( 1) The speed of each seat is 6.73 m/s
( 2 ) The tension in the chain is 327.6 N.
What is he speed of each seat?The speed of each seat is determined by treating the system as a simple harmonic motion.
Apply the law of conservation of mechanical energy as shown below.
kinetic energy of each seat at the bottom = potential energy of each seat at the top
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √ ( 2gh )
where;
h is the vertical displacement of the childreng is acceleration due to gravityThe vertical displacement of the seats is calculated from the length of the chain as follows;
h = L cos (24.4)
The speed of each seat is calculated as follows;
v = √ ( 2g L cos (24.4) )
v = √ ( 2 x 9.8 x 2.54cos (24.4) )
v = 6.73 m/s
The tension in the chain is calculated by applying the formula for centripetal force as follows;
T = mv²/r
where;
m is the total mass suspended by the chain = 10 kg + 35.2 kg = 45.2 kgv is the speed of each seat = 6.73 m/sr is the radius of the platform = (12.5 m) / (2) = 6.25 mT = ( 45.2 x 6.73² ) / ( 6.25 )
T = 327.6 N
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The complete question is below:
An amusement park ride consists of a rotating circular platform 12.5 m in diameter from which 10 kg seats are suspended at the end of 2.54 m massless chains. When the system rotates, the chains make an angle of 24.4° with the vertical. The acceleration of gravity is 9.8 m/s^2.
1. What is the speed of each seat? Answer in units of m/s.
2. If a child of mass 35.2 kg sits in a seat, what is the tension in the chain (for the same angle)? Answer in units of N.
a 1.50-kg cannon is mounted on top of a 2.00-kg cart and loaded with a 57.7 gram ball. the cannon, cart, and ball are moving forward with a speed of 1.17 m/s. the cannon is ignited and launches a 57.7 gram ball forward with a speed of 53.8 m/s. determine the post-explosion velocity (in m/s) of the cannon and cart. enter a negative value for a backward velocity and a positive value for an forward velocity.
the post-explosion velocity (in m/s) of the cannon and cart, is u = -o.9m/s
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
Let u be the cannon and cart's post-explosion velocities.
The law of conservation of momentum states that
(m₁ + m2)u + m3v = 0
Thus
u = - M3 /m1 + m₂ v =
Consequently, u = -(0.057 / 1.50 + 2.00) 53.8 = 0.876
u = -0.9m/s
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The electric potential along the x-axis is V =200x2V, where x is in meters. What is Ex at x =0m?Express your answer as an integer and include the appropriate units.
The electric potential along the x-axis is V =200x2V, where x is in meters.-1200volt/m is Ex at x =0m.
What is electric potential ?
The electrical potential difference is also referred to as voltage. Electric potential difference serves as a gauge for the effort a unit charge makes to transfer from one point in an electric field to another. The term "voltage differential" is frequently used to refer to an electric potential difference.
What is electric field ?
The force per unit charge that is applied to a positive test charge that is at rest at that site is defined by mathematics as the electric field, which may be connected to each point in space and is represented as a vector field. An electric field can be created by either an electric charge or by magnetic fields that change over time.
V=200x2
E=-dV/dx=-400x=-400*0=0.(part A)
E=-dV/dx=-400x=-400*3volt/m=-1200volt/m.
Therefore, electric potential along the x-axis is V =200x2V, where x is in meters.-1200volt/m is Ex at x =0m.
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Time Dilation Ranking Task
Five identical quintuplets leave earth when they reach the age of 21, in the year 2121. Each quintuplet goes on a spaceship journey that takes T years, as measured by a clock in each spaceship. During the journey they travel at a constant speed v, as measured on earth, except during the relatively short acceleration phases of their journey.
Part A
Rank these quintuplets on the basis of the year on earth when they return from their journey.
Rank from largest to smallest. To rank items as equivalent, overlap them.
A: T=20years, v=0.4c
B: T= 5years, v=0.2c
C: T=10years, v=0.8c
D: T=10years, v=0.4c
E: T=20years, v=0.8c
Part B
Rank these quintuplets on the basis of their age when they return from their journey.
Rank from largest to smallest. To rank items as equivalent, overlap them.
A: T=20years, v=0.4c
B: T= 5years, v=0.2c
C: T=10years, v=0.8c
D: T=10years, v=0.4c
E: T=20years, v=0.8c
Ranking these quintuplets on the basis of the year Part A: E > A > C > D > B.
Ranking these quintuplets on the basis of their age when they return from their journey Part B: E > A > C > D > B
What are quintuplets?A set of five infants called quintuplets is born all at once. A baby who is one of these sets is known as a quintuplet and occasionally goes by the nickname "quint."
Even though quintuplets and other higher-order multiple births, also known as super twins, are uncommon, there has been an increase in these pregnancies due to the increased use of fertility medications and assisted reproductive technologies.
Using on the time dilation formula we can rank the quintuplets. if [tex]$T^{\prime}$[/tex] is the time measured by Earth and [tex]$T$[/tex] is the time measured on space ship, then
[tex]$ T^{\prime}=\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} $Here, $v$ is the speed of the journey by the earth and $c$ is the speed of the light.Part A:$A: T=20$ years, $v=0.4 c$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =21.82 \text { years }\end{aligned}$$[/tex][tex]$$B: $T=5$ years,$v=0.2 c$$$\begin{aligned}T_B^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{5 \text { years }}{\sqrt{1-\frac{(0.2 c)^2}{c^2}}} \\& =5.10 \text { years }\end{aligned}$$$C: T=10$ years, $v=0.8 c$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =16.67 \text { years }\end{aligned}$$[/tex]
[tex]$\mathrm{D}: T=10$ years, $v=0.4 \mathrm{c}$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =10.91 \text { years }\end{aligned}$$$\mathrm{E}: T=20$ years, $v=0.8 \mathrm{c}$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =33.33 \text { years }\end{aligned}$$Hence, the rank from largest to smallest is$$E > A > C > D > B[/tex]
Part B: A 11 the five quintuplets have same age when they leave the earth. Hence, the order from largest to smallest on the basis of their age is al so same as the part A.
E > A > C > D > B
Thus, PART A: 20 yrs ,0.8 c then 20yrs, 0.4c then 10yrs, 0.8c then 10 yrs, 0.4c then 5yrs, 0.2c.
PART B: 20yrs=20yrs, 10yrs=10yrs, 5yrs
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define astronomical unit. define astronomical unit. the average distance between earth and the sun, which is about 9.46 billion kilometers. the distance that light can travel in 1 year, which is approximately 149.6 billion kilometers. the average distance between the sun and neptune, which is approximately 4497 million kilometers. the average distance between earth and the sun, which is approximately 149.6 million kilometers. the distance that earth travels around the sun in 1 year, which is about 9.46 million kilometers.
However, it is around 93 million miles on average between Earth and the sun (150 million kilometers). This distance is also known as one astronomical unit by scientists (AU)
What does the term "astronomical" mean?
Astronomical: Extremely or unbelievable huge; of or connected to astronomy. The price was exorbitant. astronomically
What does astronomy mean exactly?
Like the other disciplines, astronomy too began as a -ology, although it was termed astrology. Astro-, which naturally meaning "star," is a prefix that both astrological and astronomy share. "Knowledge" or "science" are denoted by the prefix -ology.
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Three charges are in a straight row. the first charge has a value of 5.00 x 10-5 c. the second charge also has a value of 5.00 x 10-5 c and is 2.50 cm to the right of the first charge. the third charge has a value of -2.50 x 10-5 c and is 2.00 cm to the right of the second charge.
The net force on the first charge is 3.04 × 10⁴ N.
What is the electric?Electricity is a form of energy generated by the movement of electrons through a conductor, such as a wire. It is a versatile and powerful form of energy that can be used to power a variety of devices, from household appliances to entire cities. It is also essential to many modern technologies, such as computers, mobile phones, and medical equipment. Electricity is an essential part of our daily lives and has become an integral part of modern society.
a) F[tex]_{net}[/tex] = F₁₂ + F₁₃
[tex]$= \frac{(9 \times 10^9) \times (5 \times 10^{-5}) \times (5 \times 10^{-5}) }{(2.50 \times 10^{-2})^2} + \frac{(9 \times 10^9) \times (5 \times 10^{-5}) \times (2.50 \times 10^{-5}) }{(4.50 \times 10^{-2})^2}[/tex]
= 3.04 × 10⁴ N
Thus, The net force on the first charge is 3.04 × 10⁴ N.
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Full question:
Three charges straight in a row. The first charge has a value of 5.00 x 10-5 C. The second charge has a value of 5.00 x 10-5 C and is 2.50 cm to the right of the first charge. The third charge has a value of -2.50x10-5 C and is 2.00 cm to the right of the second charge. a. Find the net force on the first charge.
Question 3(Multiple Choice Worth 5 points) (01.01 MC) Read the story description and historical context for the short story "Rules of the Game" and answer the question. Story Description: "Rules of the Game" tells the story of a girl who lives in San Francisco's Chinatown. She learns the strategies of chess but struggles to see eye-to-eye with her mother—possibly her wisest opponent and best teacher. In chess and in life, there are rules and choices. What's your next move? Historical Context: As a result of wars, famine, and political oppression, Chinese immigration to the United States dates back to the mid-1800s. Chinese immigrants came to the United States looking for better economic opportunities so they could provide for their families and send money to their relatives back home. San Francisco became a hub of Chinese culture; however, immigrants still faced many challenges like reduced wages, long work hours, and discrimination. Select the detail that supports the idea that Chinese immigrants were
Chinese immigrants sent money to their relatives back home.
Who are Chinese Migrants?Chinese immigrants were having a hard time in "china", not the USA, the Chinese father or mother sent money, from America, to china, because china was having a hard time, this also making the Chinese come to america.
Chinese immigration to the US has a long and occasionally contentious history. Due to organized labor lobbying and anti-Chinese sentiment, Congress passed the Chinese Exclusion Act in 1882, which virtually ended the immigration of Chinese workers.
On the other hand, the 1965 reduction of obstacles for non-European immigrants to the United States, as well as improving U.S.-China ties and China's relaxation of emigration rules in 1978, were game changers for growing immigration.
Therefore, Chinese immigrants sent money to their relatives back home.
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a 10.9 g bullet leaves the muzzle of a rifle with a speed of 527.5 m/s. what constant force is exerted on the bullet while it is traveling down the 0.7 m length of the barrel of the rifle?
The constant force is exerted on the bullet while it is traveling down the 0.7m length of the barrel of the rifle is 2166.42N
Given the mass of bullet (m) = 10.9g = 10.9 x 10^-3kg
The speed of bullet (v) = 527.5m/s
Length of barrel of rifle (d) = 0.7m
From Newtons laws of motion we know that F = ma where F is the force and a is acceleration and also v = at where t is time
The distance travelled = d
d = 1/2at^2 = 1/2a(v/a)^2 = v^2/2a
a = v^2/2d
Then F = ma = mv^2/2d
F = 10.9 x 10^-3 x ( 527.5)^2 / 2 x 0.7 = 2166.42N
Hence the constant force that is exerted on the bullet is 2166.42N.
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