Just before the collision, the kinetic energy of both planets is zero.
To find the kinetic energy of each planet just before they collide, we can use the formula for kinetic energy:
K = (1/2) * m * v²
Where K is the kinetic energy, m is the mass of the planet, and v is the velocity of the planet.
First, we need to find the velocities of the planets. Since the planets collide, their final velocities will be the same. We can use the principle of conservation of momentum to find this common final velocity.
The conservation of momentum equation is given by:
m1 * v1initial + m2 * v2initial = (m1 + m2) * vfinal
Where m1 and m2 are the masses of the planets, v1initial and v2initial are their initial velocities, and vfinal is their final velocity.
Since the planets start from rest (v1initial = v2initial = 0), the equation simplifies to:
0 + 0 = (m1 + m2) * vfinal
Solving for vfinal:
vfinal = 0
Therefore, the final velocity of the planets just before they collide is zero.
Now we can calculate the kinetic energy of each planet:
For planet 1:
K1 = (1/2) * m1 * v1²
K1 = (1/2) * (2.20 * [tex]10^{24}[/tex] kg) * (0 m/s)²
K1 = 0 J
For planet 2:
K2 = (1/2) * m2 * v2²
K2 = (1/2) * (7.00 * [tex]10^{24}[/tex] kg) * (0 m/s)²
K2 = 0 J
Therefore, just before the collision, the kinetic energy of both planets is zero.
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Lab-Kinematics in 1 Dimension: Determine Total Distance and Net Displacement from Velocity vs. Time Graphs
On a velocity-time graph, the object's displacement is indicated by the area under the line. The distance is the zone under a speed-time graph.
Displacement on a velocity-time graph: what does it mean?Displacement is the outcome of velocity and time. The area of our graph is obtained by multiplying the velocity and time, which is virtually equivalent to multiplying two lengths. The solution to estimating displacements from a velocity-time graph.
What can we infer from a graph of velocity and time?The amount of acceleration will be determined by the graph's slope. Example If a particle's acceleration is constant (k) and positive, its starting velocity is zero, and it grows linearly from there. The acceleration will be determined by the velocity-time graph's slope.
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A roller coaster car is on a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?.
The minimum value for the roller coaster car’s centripetal acceleration at the top of the loop is g downward.
When the roller coaster car is going at less than the minimum speed, it means there will be too much force, and the roller coaster car will fall from the track. At the minimum speed, the centripetal force at the top of the loop will be exactly equal to the force of gravity, mg, since no normal force will be needed.
What is normal force?The normal force is the force which surfaces exert to prevent solid objects from passing through each other. Normal force is a contact force. If two surfaces are not in contact, they cannot exert a normal force on each other.
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An object with a weigh of 170 N on Earth i brought to planet Oobla. Where it ha a weight of 360 N. What i the gravitational field trength on Oobla
The gravitational field strength on Oobla is 20.8 N/kg. It is greater than the gravitational field strength on Earth.
What is the gravitational field strength?The gravitational field strength, also called acceleration due to gravity or free-fall acceleration, is the gravitational force that acts on a mass of object. It can be expressed as
g = F/m
Where
g = gravitational field strength (N/kg or m/s²)F = gravitational force or weight (N)m = mass of object (kg)The gravitational force can be stated as weight of object W. The formula becomes W = mg. So, the weight of an object depends on the gravitational field strength on a place.
An object has a weight of 170 N on Earth. The weight becomes 360 N on Oobla. Find the gravitational field strength on Oobla!
We know that the gravitational field strength on Earth is 9.8 N/kg.
Let's say:
W₁ = weight on Earthg₁ = gravitational field strength on EarthW₂ = weight on Ooblag₂ = gravitational field strength on OoblaThe mass of an object is always the same wherever it is.
So, the gravitational field strength on Oobla is
m = W/g
m₁ = m₂
W₁/g₁ = W₂/g₂
170/9.8 = 360/g₂
g₂ = (9.8×360)/170
g₂ = 20.8 N/kg
It is greater than the the value of g on Earth.
Hence, the planet Oobla has the gravitational field strength of 20.8 N/kg.
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At an equilibrium position of a pendulum, the is at a maximum.
At an equilibrium position of a pendulum, the velocity is at a maximum.
The pendulum hangs straight down while it is at rest, not swinging. This position is called the equilibrium position. It is practical to consider this position to be the origin or reference position indicated in the definition of position.
The pendulum's lowest point is where the equilibrium point is located. It is called this because, there are no forces acting on it. This is the point at which the pendulum would be at a stable, motionless equilibrium.
It is also the time when the pendulum, after being let go from above, totally converts the gravitational potential energy it began with into kinetic energy. As such, this means that at this point the pendulum is at its maximum velocity.
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An object is moving at a speed of 920 yards every 3. 5 hours. Express this speed in miles per week. Round your answer to the nearest tenth.
The required speed of 920 yards every 3. 5 hours is terms of miles per week is 25 miles/week.
What is speed?Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
According to question:
We have,
Speed = 920/3.5 = 262.85 yd/hour
We know that
1 yard/hour = 0.0954545 mile/week
So,
262.85 yd/hour = 25 miles/week
Thus, speed of 920 yards every 3. 5 hours is 25 miles/week.
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Two pans of a balance are 79 cm apart.
The fulcrum of the balance has been shifted 0.99 cm away from the center by a dishonest shopkeeper.
By what percentage is the true weight of the goods being marked up by the shopkeeper?
Assume the balance has negligible mass.
Answer in units of %.
The true weight of the goods is being marked up by 0.0126%.
Solving for the percentage is the true weight of the goods being marked up by the shopkeeper:The percentage markup can be found using the formula:
distance moved x 100%
original distance
In this case, the original distance is 79 cm and the distance moved is 0.99 cm, so the formula would be:
= 0.99 x 100%
79
= 0.0126%
Hence, the true weight of the goods is being marked up by 0.0126%.
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20m/s at 275 degrees from the x-axis
So, the magnitude of velocity concerning:
x-axis approximately 1.74 m/s to the x-positive, andy-axis approximately -19.92 m/s (19.92 m/s to the y-negative).Introduction and Formula UsedHi! Here I will help you to solve problems related to the velocity vector. In this problem, we know that a particle moves at a certain speed with an angle ([tex] \sf{\theta} [/tex]) on the x-axis. Of course, with conditions like this, velocity can be described on the x or y-axis. The result of the x-axis velocity is horizontal movement. On the other hand, the y-axis velocity is vertical movement. See the equation below to know the magnitude of velocity concerning the x and y-axis.
Velocity respect to the x-axis[tex] \boxed{\sf{\bold{v_x = v_i \cdot \cos(\theta)}}} [/tex]
Velocity respect to the y-axis[tex] \boxed{\sf{\bold{v_y = v_i \cdot \sin(\theta)}}} [/tex]
With the following condition:
[tex] \sf{v_i}[/tex] = the initial velocity[tex] \sf{\theta}[/tex] = elevation angle[tex] \sf{v_x}[/tex] = the velocity respect to the x-axis[tex] \sf{v_y}[/tex] = the velocity respect to the y-axisProblem SolvingWe know that:[tex] \sf{v_i}[/tex] = the initial velocity = 20 m/s[tex] \sf{\theta}[/tex] = elevation angle = 225°What was asked?[tex] \sf{v_x}[/tex] = the velocity respect to the x-axis = ... m/s.[tex] \sf{v_y}[/tex] = the velocity respect to the y-axis = ... m/s.Step by step:Find the magnitude of velocity respect to the x-axis[tex] \sf{v_x = v_i \cdot \cos(\theta)} [/tex]
[tex] \sf{v_x = 20 \cdot \cos(275^{\circ})} [/tex]
[tex] \sf{\bold{v_x \approx 1.74 \: m/s}} [/tex]
Find the magnitude of velocity respect to the y-axis[tex] \sf{v_y = v_i \cdot \sin(\theta)} [/tex]
[tex] \sf{v_y = 20 \cdot \sin(275^{\circ})} [/tex]
[tex] \sf{\bold{v_y \approx -19.92 \: m/s}} [/tex]
ConclusionSo, the magnitude of velocity concerning:
x-axis approximately 1.74 m/s to the x-positive, andy-axis approximately -19.92 m/s (19.92 m/s to the y-negative)An elevator weighing 230000 n is supported by a steel cable. What is the tension in the cable when the elevator accelerates down at a rate of 3. 7 m/s2 rounded to the nearest tenth?.
The required tension in the cable when the elevator accelerates down at a rate of 3. 7 m/s2 is 143163.26 N.
What is acceleration?The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.
According to question:We have,
Weight = 230000N, Mass of elevator = 23469.38 kg
a = 3.7 m/s^2
So, by free body concept
230000 - T = 23469.38 kg(3.7)
230000 - T = 86836.74
T = 143163.26 N
Thus, required tension in string is 143163.26 N.
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The sum of the potential energy and the kinetic energy of an object is its thermal energy.
The sum of the potential energy and the kinetic energy of an object is called as mechanical energy.
An object's mechanical energy can be defined as the result of its motion (i.e., kinetic energy) and/or the result of its stored position energy (i.e., potential energy).
Kinetic energy is defined as the energy gained by a body when it is in motion.Kinetic energy is obtained due to the motion of the object and potential energy is obtained due to the height and elastic potential of the object.Potential energy is defined as the energy gained by a body based on its position, arrangement and state of the object. Potential energy can be further divided into two parts: gravitational potential energy and elastic potential energy.In principle, the total amount of mechanical energy is only referred to as the sum of potential energy and kinetic energy.To know more about mechanical energy,
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What is MLA formatting used for?
MLA style is most commonly used to cite sources within the language arts, cultural studies, and other humanities disciplines.
MLA Style Citation Writing FormatThe Modern Language Association or better known as the MLA style is a citation issued by MLA with a simple design. The aim is to make it easier for writers to write citations. Usually this style is used in the fields of Humanities and English.
the characteristics of MLA Styles' writing are:
The author's name is written in full with the last name written in front The year of publication is put at the end Quotations on the page simply by writing the last word and the page number of the quote On certain media, information on media type and format can be added, for example print or online On online sources, it is enough to display the month and year accessed without mentioning the online source.Learn more about MLA style at https://brainly.com/question/27750517.
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A ball with a mass of 0.5 kilograms is lifted to a height of 2.0 meters and dropped. It bounces back to a height of 1.8 meters.
The energy of the ball has been reduced by
[ Select ]
(...)0.98 (...)8.82 (...)9.8 joules after bouncing back. This reduction happens because potential energy transforms to
[ Select ]
(...)kinetic (...)light (...)thermal energy.
Hint: Use PE = m × g × h where g = 9.8 m/s2.
The energy of the ball has been reduced by 0.98 joules (option A) after bouncing back because potential energy has been transformed into kinetic energy (option A).
What is potential and kinetic energy?Potential energy is the energy possessed by an object because of its position while kinetic energy is the energy possessed by an object because of its motion.
According to this question, a ball with a mass of 0.5 kg is lifted to a height of 2.0 meters and dropped. It bounces back to a height of 1.8 meters. The difference in potential energy can be calculated as follows:
P.E (1) = 0.5 × 2 × 9.8 = 9.8J
P.E (2) = 0.5 × 1.8 × 9.8 = 8.82J
∆P.E= 9.8 - 8.82 = 0.98J
This reduction occured because the potential energy of the ball changes to kinetic energy (in motion).
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A 1.3 kg ball of putty is released from rest and falls vertically 1.2 m until it strikes a hard floor, where it comes to rest in a 0.025s time interval. What is the magnitude of the average force exerted on the ball by the floor during the collision?
The magnitude of the average force exerted on the ball is 4992 N.
What is force?Force is the product of mass and acceleration. The S.I unit of force is newton(N)
To calculate the magnitude of the average force, we use the formula below.
Formula:
F = 2ms/t².................... Equation 1Where:
F = Forcem = Masss = Distancet = TimeFrom the question,
Given:
m = 1.3 kgs = 1.2 mt = 0.025 sSubstitute these values into equation 1
F = 2×1.3×1.2/0.025²F = 4992 NHence, the average force is 4992 N.
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Use the information from the graph to answer the
question.
Velocity (m/s)
45
40
35
30
25
20
15
Velocity vs. Time
0 2
4
6 8
Time (s)
10
12
What is the acceleration of the object?
m/s²
The velocity after 8 seconds 15 m/s. the acceleration of the object m/s² 2.
What is velocity ?
Velocity is a vector quantity that expresses both the speed and direction of an object's motion. It can be described in terms of both magnitude and direction, and is measured in terms of meters per second (m/s). Velocity is an important concept in physics because it is used to describe the motion of objects. In addition, it is used to calculate the force of an object, the acceleration of an object, and the momentum of an object.
Velocity is an important concept in physics and engineering, as it is used to measure the rate at which objects move, as well as the rate of change of an object's motion. Velocity can also be used to calculate the work done on an object and to determine the direction of an object's motion.
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Which word best describes covalent bonding?
Answer: Option (a)
Solution: The covalent bond is best described as the bond where one atom shares its electron(s) with another neighboring atom to become stable. Here, the word “co” represents jointly and “valent” represents valency shared by them. Therefore, option (a) is the most appropriate choice amongst all the provided options.
If the hot air balloon is 21 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot?.
The distance between the ground directly underneath the balloon and the second rope is 36.37 feet.
The complete question is in the attachment. Look at the triangle ACD. For ∠ ACD = θ the trigonometric ratios
sin θ = y/rcos θ = x/rtan θ = y/xcosec θ = r/ysec θ = r/xcot θ = x/yLook at the picture
Point D is the hot air balloon.Point A is the ground directly underneath the balloon.Point B is the first rope.Point C is the second rope.From the ground directly underneath the balloon to the second rope and hot air balloon form triangle ACD.∠ ACD = θ = 30°AD = 21 feettan θ = y/x
tan 30° = AD/AC
tan 30° = 21/AC
AC = 21 ÷ tan 30°
AC = 21 ÷ 0.577
AC = 36.37 feet
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help me pls i will be happy if yall help me
Electrons do not follow specific paths, so describing the area where an electron is likely to be is more scientifically accurate and is actually an improvement over earlier models.
The first option is correct.
What is an electron?The electron is described as a subatomic particle with a negative one elementary electric charge.
Modern orbital theory predicts electron in specific orbitals which are three-dimensional in nature.
It is a quantum mechanical phenomenon where we can not apply classical mechanics to determine the exact position of electron.
The square of the amplitude wave function associated with the electron gives the probability of finding the electron in a particular region.
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Describe, using Bernoulli's principle,how roofs are
lifted off
buildings in tornados.
Answer:
Bernoulli's principle explains how objects heavier than air are able to fly
Explanation:
Basically, Bernoulli's principle states that faster-moving air has greater air pressure than slower-moving air
When an object has greater air pressure on its top surface than its lower surface it will create lift, or lift the object up
Thus in a tornado, with extremely high winds a roof could be easily lifted up if the air pressure is greater than the force of gravity
7. What is the power (in Watts) of the Pokemon Machamp that uses 237 N of force to move a huge boulder 83 m in 5s?
The power in watts of the Pokemon Machamp that uses 237N of force to move a huge boulder 83 m in 5s is 3,934.2Watts.
How to calculate power?Power refers to the measure of the rate of doing work or transferring energy.
The quantity that has to do with the rate at which a certain amount of work is done is known as the power. The power of a substance can be calculated using the following formula;
P = Work done ÷ time
Since work = Force × distance
Power = (Force × distance)/time
Power = (237 × 83)/5
Power = 3,934.2Watts
Therefore, 3,934.2Watts is the power of the Pokémon machamp.
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Can anyone help me answer this question?
______ is an instrument that measures small electric currents due to changing magnetic fields.
a) Ammeter
b) Galvanometer
c) Voltmeter
d) Dynanometer
Source of error for measuring magnetic fields in a solenoid lab
The source of errors in this experiment could occur from the improper measuring technique. While measuring the magnetic field in the solenoid, the magnetic field sensor might not be held properly perpendicular to the table on which the solenoid was resting.
What are the factors affecting the magnetic field of a solenoid?The factors that can affect the strength of a magnetic field at a point are the magnitude of the electric current and the perpendicular distance between the point and the conductor.
Can solenoids be a source of the magnetic field?The term solenoid refers to a long, thin loop of wire, often wrapped around a metallic core. Solenoids produce a magnetic field when an electric current is passed through them. Solenoids are significant because they can create and regulate magnetic fields and can be used as electromagnets.
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Find , the length of , the sum of and . Express in terms of , , an angle , using radian measure for known angles.
Length of : |AB| = √(x2-x1)2 + (y2-y1)2
|AB| = √(x2-x1)2 + (y2-y1)2
|AB| = √(x2-x1)2 + (y2-y1)2
Sum of : x1+x2+y1+y2
Angle : θ = arctan2(y2-y1, x2-x1)
What is length?Length is a measure of distance in one dimension, typically described as the longest side of an object, such as a line, a road, or a wall. The most common unit of measurement is a linear one, such feet, miles, centimetres, or millimetres. Length can also be measured in three-dimensional units, such as inches, feet, yards, and miles, as well as in other units such as cubits, rods, and fathoms. In terms of physics, length is the physical property of an object that describes its overall size and shape, or the distance between two points.
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Find the angular acceleration of a spinning amusement-park ride that initially travels at 0.50 rad/s then accelerates
to 0.60 rad/s during a 0.50 s time interval.
The angular acceleration of a spinning amusement park ride is 0.2 rad/s^2.
What does circular motion's angular acceleration mean?The pace at which an object moving in a circle changes angular velocity over time is referred to as angular acceleration. Rotational acceleration is another name for angular acceleration. It has both magnitude and direction, making it a vector quantity.
What are angular acceleration and angular velocity?The rate of change in angular displacement is known as angular velocity, and the rate of change in angular velocity is known as angular acceleration.
What is the name for zero acceleration?Zero magnitude acceleration is still acceleration. Motion with uniform (i.e. zero) acceleration is a specific case of motion with constant velocity.
Given:
Initial acceleration = 0.50 rad/s
Final acceleration = 0.60 rad/s
Time = 0.50 s
Angular Acceleration:
α = Δω/Δt
[tex]\alpha = \frac{0.60-0.50}{0.50}[/tex]
[tex]\alpha =\frac{0.1}{0.50}[/tex]
[tex]\alpha =0.2rad/s^2[/tex]
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people with poor lifestyle habits or known chronic diseases are strongly advised to have a medical screening before starting an exercise program true or false?
This statement is accurate because it is strongly encouraged that those with unhealthy lifestyle choices or known heritable diseases undergo a medical examination before beginning an exercise regimen.
What is Chronic diseases ?Chd, type two diabetes, and other infectious conditions can all be prevented, delayed, and managed with a nutritious diet. Lean protein, whole grains, a variety of fruits and vegetables, low-fat dairy products, and a diet low in sweeteners, animal fats, and sodium make up a balanced, healthy diet.
Your overall health, physical fitness, and life experience can all benefit from regular physical activity. Your risk of developing chronic illnesses like type two diabetes, heart attacks, numerous cancers, anxiety and depression, and brain is also decreased.
What is the best strategy to manage a chronic illness?How can a chronic condition improve my quality of life.
consuming a balanced diet.
Performing as much exercise as you can.
avoiding harmful coping strategies like drinking and drug abuse.
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Which of the following ions will have a charge of negative 1?
The sodium electric charge ion on the right has a total charge of -1 and consists of 17 protons and 18 electrons.
Ion: What Does It Mean?Ions are any atoms or clusters of atoms with an electric charge. Cations are the name for positive-charged ions. Anion is the name for ions that have a negative charge. Several common compounds are present in the body as ions. Examples of typical salts are sodium, potassium, calcium, chloride, and bicarbonate.
What are the uses of ion?Beyond scientific instruments, these charged particles have significant applications in home appliances like smoke detectors and air purifiers. By disrupting and neutralizing the airborne bacteria, ions can clean the air.
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A train tart from ret ,it move through 1km in 100 with uniform acceleration. What will be it peed at the end of 100
The train velocity (speed) at the end of 100km will be 10m/s.
The train starts from rest and moves through a distance of 1 km in 100 km with a uniform acceleration. The formula for velocity at the end of a certain time period is calculated by the following formula:
where:
v = final velocity (speed)
u = initial velocity (0 m/s, since the train starts from rest)
a = acceleration (0.01 m/s^2)
t = time (100,000 seconds, since the train travels 1 km in 100 km)
v = u + at
v = 0 + (0.01 m/s²)(100,000 s)
v = 10 m/s
It means at and after 100km onward, the train will be moving at a speed of 10m/s. The train's velocity increases linearly with time due to the uniform acceleration, and after 100 km of travel, it reaches a final velocity of 10 m/s.
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e. Solve the following problem. Water has a specific heat of
4184 J/kg C. How much energy is needed to increase the
temperature of 3 kg of water 15 C ?
Energy needed to increase the temperature of 3 kg of water 15 C is 188280 J.
What is Energy ?In physics, energy refers to a quantitative property that is transferred to a body and can be perceived in the performance of work. Energy is Conserved - The law of conservation of energy states that energy can be transformed into form, but cannot be created or destroyed. Scientists explain energy as the ability to perform work. Modern civilization is possible because humans have learned to convert energy from one form to another and use it for work. Energy is the ability of the body to do work. I learned about different forms of energy which are Mechanical, Thermal, Chemical, Electrical, Optical, Acoustic, Nuclear, etc. They are interchangeable.However, energy cannot be created or destroyed.To learn more about Energy from the given link :
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1. What is the difference between instantaneous speed and average speed?
2.What is the equation used for calculating average speed when an object is uniformly accelerating?
SCIENCE MADLIB
Using the graph provided, interpret the data and create your own story of what could have been happening. Make sure to tell whether you are accelerating, stopped, or decelerating at each point. For example, we were accelerating from our starting point A to the next point B.
please hurry
The story that describes the graph is, we were accelerating from our starting point A to the next point B, then from point B started decelerating to our next point C, rested between point C and D, and finally we started our journey again by accelerating to point E.
What is displacement time graph?
A displacement time graph, is a type of graph that is used to describe the motion of an object with respect of how the object is changing its position with time.
The change in position with change in the time of motion of the object gives velocity of the object which is also equal to the slope of the graph.
v = Δx / Δt
where;
Δx is the change in position of the objectΔt is the change in time of motionFrom the given graph we can conclude the following based on the motion;
from point A to B there is accelerationfrom point B to C there is decelerationfrom point C to D there is no acceleration because velocity is zerofrom point D to E there is accelerationLearn more about displacement - time graph here: https://brainly.com/question/19144777
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Formula for finding the depth of sea
with explanation
Answer:
d/2=vt
Explanation:
Since the speed of sound in water is known, the simple equation "d/2 = vt" is used to find the depth "d".
The tape in a videotape cassette has a total
length 213 m and can play for 2.4 h. As the
tape starts to play, the full reel has an outer
radius of 48 mm and an inner radius of 11 mm.
At some point during the play, both reels will
have the same angular speed.
What is this common angular speed?
Answer in units of rad/s.
Both reels will have the same angular speed of 0.0500 rad/sec.
What is angular speed?
angular speed is described as the rate at which an object changes it angles which we measure in radians in a given time
Given data:
The total length of videotape cassette is, L = 213 m.
The time interval for the play is, 2.4 = 2.4 x 3600
The outer radius of tape is, 48mm
The inner radius of tape is, 11mm
The videotape will undergo rotational motion and the value of angular velocity is given as,
w = v/ r ... eqn (1)
Here, v is the linear speed of the cassette and r is the effective radius of the cassette, and its value is,
r =√ R²o + R²i/ 2
r = 49.24mm
And, the linear speed of the cassette is given as
v = L/ t
v = 213/ 8640
v = 0.02465 m/s
Substitute the values in equation (1) as
w = v/r
w = 0.02465/ 49.24
w = 0.0500 rad/sec.
Thus, we can conclude that at some point during the play, both reels will have the same angular speed of 0.0500 rad/sec.
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