When a tennis ball is dropped from 1.0 m, bounces off the ground, and rises to 0.85 m, an inelastic collision occurs between the ball and the ground.
An inelastic collision is a type of collision in which two objects collide and stick together after the collision. The kinetic energy of the system is not conserved because some energy is lost due to friction and deformation. In this case, the tennis ball collides with the ground, and the energy is not completely conserved. Some energy is lost to heat due to the deformation of the tennis ball and the ground when they collide. The deformation of the ball and the ground is caused by the force of the collision.
When a tennis ball collides with the ground, it causes the ground to deform, and the ball also deforms. The energy of the ball is transferred to the ground, causing the ground to vibrate. Some of the energy is lost to heat due to friction, and some of the energy is lost due to the deformation of the ball and the ground. As a result, the ball bounces back up to a height of 0.85 m instead of reaching the original height of 1.0 m. Hence, an inelastic collision occurred between the ball and the ground.
To summarize, when a tennis ball is dropped from 1.0 m, bounces off the ground, and rises to 0.85 m, an inelastic collision occurs between the ball and the ground. The kinetic energy of the system is not conserved because some energy is lost due to friction and deformation.
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A spring gun initially compressed 2 cm fires a 0.01 kg dart straight up into the air. If the dart reaches a height of 5.5 m, determine the spring constant of the dart gun.
The spring constant of the dart gun compressed by 2 cm is determined as 121.275 N/m.
What is the spring constant?To determine the spring constant of the dart gun, we can use the conservation of energy principle, which states that the initial potential energy stored in the compressed spring is converted to the kinetic energy of the dart and its potential energy due to its position in the gravitational field.
The initial potential energy stored in the compressed spring is given by:
U = (1/2)kx²
where;
k is the spring constant and x is the compression of the spring.In this case, x = 0.02 m.
The kinetic energy of the dart just after it leaves the spring is given by:
K = (1/2)mv²
where;
m is the mass of the dart and v is its initial velocity.Since the dart is fired straight up, its initial velocity is zero.
At the highest point of the dart's trajectory, all of its kinetic energy has been converted to potential energy due to its position in the gravitational field. The potential energy of the dart at this point is given by:
U = mgh
where;
h is the maximum height reached by the dart.Equating the initial potential energy stored in the spring to the final potential energy of the dart, we have:
(1/2)kx² = mgh
Substituting the given values, we get:
(1/2)k(0.02)² = 0.01 * 9.81 * 5.5
Solving for k, we get:
k = (0.01 x 9.81 x 5.5) / (0.02)² = 121.275 N/m
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The potential difference between the two terminals on a battery is 9 volts. How much energy is required to transfer 150 coulombs of charge across the terminals?
a. 0.06J
b. 600J
c. 17J
d. 1350J
Answer: 1350J
Explanation:
To solve this, we are going to use the formula for calculating potential difference which is:
Potential difference (V) = Work done (W) / Total charge (C)
Therefore,
9 volts = Work done / 150
Work done = 150 × 9 = 1350J
A truck heading east has an initial velocity of 6 m/s. It accelerates at 2 m/s2 for 12 seconds. What distance does the truck travel in the given time?Paco was driving his scooter west with an initial velocity of 4 m/s. He accelerates at 0. 5 m/s2 for 30 seconds. What is his final velocity?
The distance the truck travel in given time is 216 m and the final velocity of acceleration at 0.5m/\(s^{2}\) for 30 seconds is 19 m /s
The following question has two parts
For part 1 we need to calculate the distance covered by the truck in 12 seconds
We know that
s = ut + \(\frac{1}{2}a .t^{2}\) . . . . . . . . . . . .(1)
where s = distance travelled
u = initial velocity
a = acceleration
t = time in seconds
Now , As per the question
u = 6 m/s
a = 2 m/\(s^{2}\)
t = 12 seconds
Putting the values in the equation (1)
s = 6 X 12 + \(\frac{1}{2}\) X 2 X 144
s = 72 + 144
s = 216 m
Therefore the distance travelled is 216 m
For part 2 we need to calculate the final velocity that Paco was driving
We know that
v = u + at . . . . . . . . . . . .(2)
where v = final velocity
u = initial velocity
a = acceleration
t = time in seconds
As per the question,
u = 4m/s
a = 0.5 m/\(s^{2}\)
t = 30 seconds
Putting in equation (2)
v = 4 + 0.5 X 30
v = 4 + 15
v = 19 m/s
Therefore the final velocity is 19 m/s
Therefore , the distance the truck travel in given time is 216 m and the final velocity of acceleration at 0.5m/\(s^{2}\) for 30 seconds is 19 m /s
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The final velocity of the scooter is 19 m/s.
Given:
Initial velocity of truck, u = 6 m/s
Acceleration of truck, a = 2 m/s²
Time taken by the truck, t = 12 s
Formula used:
s = ut + 1/2 at²
Where,
s = Distance travelled
u = Initial velocity
a = Acceleration
t = Time taken
Substituting the given values in the above formula, we get:
s = ut + 1/2 at²
= 6(12) + 1/2 × 2 × (12)²
= 72 + 1/2 × 2 × 144
= 72 + 144
= 216 m
Therefore, the truck travels 216 m in the given time.
Given:
Initial velocity of scooter, u = 4 m/s
Acceleration of scooter, a = 0.5 m/s²
Time taken by the scooter, t = 30 s
Formula used:
v = u + at
Where,
v = Final velocity
u = Initial velocity
a = Acceleration
t = Time taken
Substituting the given values in the above formula, we get:
v = u + at
= 4 + 0.5 × 30
= 4 + 15
= 19 m/s
Therefore, the final velocity of the scooter is 19 m/s.
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For freely falling objects near earth's surface, _____ is constant.
A
acceleration
B
speed
C
velocity
D
momentum
The correct option is A. acceleration.
For freely falling objects near Earth's surface, acceleration is constant. An object that is allowed to fall freely under the influence of Earth's gravity is known as a freely falling object. Gravity is an acceleration that acts on any two masses.
For freely falling objects near Earth's surface, the acceleration is indeed constant. This fundamental concept is a result of gravity's influence on objects in free fall. When an object is in free fall, it means that no forces other than gravity are acting upon it. In this scenario, the acceleration experienced by the object remains constant and is equal to the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²) near Earth's surface.
The constancy of acceleration in free fall can be attributed to the consistent force of gravity acting on the object. Gravity pulls objects downward towards the center of the Earth, causing them to accelerate uniformly. Regardless of the object's mass, shape, or composition, the acceleration remains constant. This is known as the equivalence principle, which states that all objects experience the same acceleration due to gravity in the absence of other forces.
As an object falls freely, its velocity increases at a steady rate. Each second, the object's velocity increases by approximately 9.8 m/s. This means that in the first second, the velocity increases by 9.8 m/s, in the second second it increases by an additional 9.8 m/s, and so on. The consistent acceleration enables the object to cover greater distances in successive time intervals.
In conclusion, for freely falling objects near Earth's surface, the acceleration remains constant at approximately 9.8 m/s². This constancy arises from the unchanging force of gravity acting on the objects, leading to a uniform increase in velocity over time.
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Imagine that you are hovering next to a space shuttle and your buddy of equal mass
who is moving a 4 km/h with respect to the ship bumps into you. If he holds onto
you, how fast do you both move with respect to the ship?
The total momentum vectors will not change prior to or following a collision. When two objects collide at an angle from one another, their momentum will not change. Thus, the momentum of objects colliding remains constant.
What fast you both move with respect to the ship?Because momentum is dependent on mass and velocity, objects in space can have momentum. Mass is a property that does not change depending on where an object is, unlike other properties like weight.
Simply said, mass is the continuous amount of matter that makes up an item. Thus, momentum is a property of objects in space.
Therefore, Both the ship and the individual are moving at a 2 km/h rate.
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A ladybug crawls up the wall, moving 1 meter in 10 seconds. What is the ladybug's average velocity? show your setup, work, signs, and units. Explain your answer.
The average velocity of ladybug crawling up the wall, v = 0.1 m/s.
Equation :To find average velocity using the formula,
v = dx / dt
where,
v is average velocity
dx is distance
dt is time
So, putting the values
We have,
v = 1m / 10s
v = 0.1 m/s
What is average velocity?The difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the standard international unit for average velocity.
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A birdie with a mass of 0.005 kg is served at a speed of 90 m/s (This is over 200 mph!). Determine its kinetic energy. A) 0.001125 J. B) 0.45 J. C) 20.25 J. D) 40.5 J
Answer: C. 20.25J
Explanation: KE = 1/2 m v^2
m= .005, v= 90
1/2 * .005 * 90^2 = 20.25J
If I travel 100 kilometer in one hour then I have a speed of?
Answer:
100 km /hour
Explanation:
/ or per = every once so every hour you are traveling 100 kilometera
Answer:
100kmh-1
Explanation:
100km÷1hour
100kmh-1
Total stopping distance includes
total stopping distance is the distance a vehicle travels from the moment the driver applies the brakes until the vehicle comes to a complete stop. It consists of two main components: the thinking distance and the braking distance.
total stopping distance refers to the distance a vehicle travels from the moment the driver applies the brakes until the vehicle comes to a complete stop. It is composed of two main components: the thinking distance and the braking distance.
The thinking distance is the distance the vehicle travels during the driver's reaction time. It is the time it takes for the driver to perceive a hazard and apply the brakes. Factors that can affect the thinking distance include the driver's alertness, distractions, and the speed of the vehicle.
The braking distance is the distance the vehicle travels while the brakes are applied and the vehicle decelerates. It depends on factors such as the speed of the vehicle, the condition of the road, and the efficiency of the brakes.
Therefore, the total stopping distance is influenced by both the thinking distance and the braking distance. It is important for drivers to maintain a safe following distance and be aware of their vehicle's stopping capabilities to ensure they can stop in time to avoid collisions.
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Total stopping distance includes b. The distance the car travels during the driver's reaction time
The distance a car travels during the driver's reaction time and the distance it travels while the driver is braking are included in the total stopping distance. It's possible that a driver's foot isn't on the brake when they realise they need to stop the car. The car, for instance, is going at a constant speed.
The moment the driver realises that the vehicle needs to be stopped, his or her foot is moved to the brake pedal. The reaction distance is what we refer to as. The car slows down as soon as the brakes are deployed. The braking distance is the length of time needed to stop. Total stopping distance is calculated by summing reaction distance and braking distance.
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Complete Question:
Total stopping distance includes
a. The time period when it is at hault
b. The distance the car travels during the driver's reaction time
c. Distance travelled between the moment you first see a reason to stop to the moment you use the brake.
An aluminium cube of side 5cm and R.D 2.7 is suspended by a thread in alcohol of relative density 0.8o. Find the tension in thread.
Answer:
The tension in the thread is approximately 3.2103225 Newtons
Explanation:
The given parameters are;
The side length of the aluminum cube, s = 5 cm
The R.D. of aluminum = 2.7
The relative density of alcohol into which the aluminum cube is placed = 0.8
The volume of the aluminum cube, V = s³ = (5 cm)³ = 125 cm³
The mass of the aluminum cube, V = The volume of the cube
The mass of the aluminum cube, m = V × R.D. × Density of water
m₁ = 0.000125 × 2.7 × 970 = 0.327375 kg
The mass of the alcohol displaced, m₂ = 0.000125 × 0.8 × 970 = 0.097
The tension in the string, T = The apparent weight of the aluminum cube, Wₐ
∴ The tension in the thread, T = Wₐ = (m₁ - m₂) × g
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
∴ T ≈ (0.327375 - 0.000125) × 9.81 = 3.2103225
The tension in the thread, T ≈ 3.2103225 N.
i have a few questions
multipe choice
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
11) Stored energy is called ________ energy.
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
please and thank you
Energy refers to the ability or capacity to do work. Energy can be of various types as follows:
Mechanical energy (kinetic or potential)Electrical energyLight energySolar energyHeat energyKinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.
The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.
Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.
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which requires the most energy to melt it: 1kg of ice, 1kg of solid lead or 1kg of solid ethanol
The substance that requires the greatest amount of energy to melt is ice.
What is the latent heat of fusion?The latent heat of fusion refers to the energy that is required to melt 1 Kg of a substance. We must note that this heat goes into the breaking of the internal bonds of the material. Thus, the nature of the internal bonds in the materials are important when we are dealing with the latent heat of fusion.
We can see that the particles of ice are held together by the strong hydrogen bonds. As such, we can see that ice has the highest latent heat of fusion.
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I need Help! Can You Please Help Me?
_______ is essential for building amino acids.
(Choose One)
Nitrogen
Oxygen
Calcium
Carbon
Hydrogen
Phosphorus
Answer:
Oxygen or Hydrogen?
Explanation:
To make amino acids, fermentation tanks are filled with molasses and sugar ingredients such as sugar cane, corn and cassava. Ideal conditions are achieved for stirring, oxygen supply, temperature and pH levels. The desired amino acids are then purified from this fermented broth.
"An amino acid is an organic molecule that is made up of a basic amino group (−NH2), an acidic carboxyl group (−COOH), and an organic R group (or side chain) that is unique to each amino acid."
Hope this helps
A person exerts 12.0 N on a 0.145 kg baseball for 0.480 s. What is the change in velocity of the base ball?
The change in velocity of the baseball is 39.72 m/s
What is change in velocity?
This is the difference between the final and the initial velocity of a body.
To calculate the change in velocity of the ball, we use the formula below.
Formula:Ft = mΔv.............. Equation 1Where:
F = Force exerted by the persont = timem = mass of the baseballΔv = Change in velocity.Make Δv the subject of the equation
Δv = Ft/m........... Equation 2From the question,
Given:
F = 12 Nt = 0.480 sm = 0.145 kgSubstitute these values into equation 2
Δv = (12×0.48)/0.145Δv = 39.72 m/s.Hence, The change in velocity of the baseball is 39.72 m/s
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Do astronauts have the same WEIGHT in
space?
No
Yes
Answer:
Explanation: Astronauts on the orbiting space station are weightless because... a. there is no gravity in space and they do not weigh anything. ... space is a vacuum and there is no gravity in a vacuum.
Answer:
No I believe
Explanation:
Which action might lead scientists to develop new explanations about the universe?
Answer:
Designing experiments to replicate the conditions in which life may have first evolved on Earth
Explanation:
In 1953, Stanley L. Miller and Harold C. Urey conducted an experiment to prove that life started from inanimate objects. The research was conducted by utilizing proposed chemical substances, mixed together through a scientific design process. The outcome of the research is the predicted atmospheric conditions before the pre-living form started on earth.
Therefore, in this case, the action that might lead scientists to develop new explanations about the universe is "Designing experiments to replicate the conditions in which life may have first evolved on Earth."
Two ropes are attached to a tree, F₁=5.01+3.0/and, F₂=3.01+2.0f forces of and
are applied. The forces are coplanar (in the same plane). Find the direction of the net
force.
In physics, we use vector addition to calculate the net force direction when more than one force is applied. Given the separate x and y components of two forces, F₁ and F₂, we sum the components respectively to find the x and y components of the net force. The arctangent of the ratio Fy/Fₓ then gives the direction in degrees relative to the x-axis.
Explanation:In physics, specifically in mechanics, you can calculate the net force direction when two forces, F₁ and F₂, are being applied by using vector addition. Vector addition can be visualized graphically using arrows or mathematically using components. In this case, since the forces are given in the form of components (x and y), let's handle it mathematically, the x-component of the net force (Fₓ) will be the sum of the x-components of F₁ and F₂. Similarly, the y-component of the net force (Fy) will be the sum of the y-components of F₁ and F₂. This gives us Fₓ = 5.01N + 3.01N and Fy = 3.0N + 2.0N. The direction of the net force can then be calculated using arctangent of the ratio Fy/Fₓ. This will give the direction in degrees relative to the x-axis.
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If a train travels 80 miles north, 60 miles east, what’s the magnitude of its total displacement? Find the solution by drawing a diagram. ____ miles.
Answer:
100 miles North East.
Explanation:
Please see attached photo for diagram.
In the attached photo, X represents the magnitude of the total displacement of the train.
Thus, we can obtain the value of X by using the pythagoras theory as illustrated below:
X² = 80² + 60²
X² = 6400 + 3600
X² = 10000
Take the square root of both side
X = √10000
X = 100 miles.
Therefore, the magnitude of the total displacement of the train is 100 miles North East.
A gas has a pressure of 220 kPa at a volume of 380K. At what temperature will the gas have a pressure of 256 kPa?
Technological design leads to the development and innovation of new technologies.
Which statement represents innovation?
O Solar panels have increased in efficiency over the past 20 years.
O The Sun is the primary source of energy for the solar system
O Previous models of a type of car have fewer engine problems.
O Natural selection ensures that only the fittest survive.
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
Because if efficiency have increased other technologies will be discovered
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
A wire that is 0.36 meters long moves perpendicularly through a magnetic field at a speed of 0.21 meters/second. The induced emf produced in the wire is 0.45 volts. What is the magnetic field strength?
A.
0.034 newtons/amp·meter
B.
0.17 newtons/amp·meter
C.
0.26 newtons/amp·meter
D.
0.77 newtons/amp·meter
E.
6.0 newtons/amp·meter
Answer:
the answer is letter D.
Explanation:
i hope this is help
Answer:
great answer warstep8! add me on disc colludy#8415
Explanation:
How do we learn about what is going on in the center of our own galaxy (the Milky Way)?
A) We have learned it only recently, thanks to the great photographs obtained by the Hubble Space Telescope.
B) We cannot see the galactic center with visible or ultraviolet light, but radio and X rays from the center can be detected.
C) The gas and dust in the Milky Way prevent any type of direct observation of the galactic center, but theoretical models allow us to predict what is happening there.
D) We must look at the centers of other galaxies and hope that ours is just like others.
The things which are going on in the centre of our own galaxy (the Milky Way), We cannot see the galactic centre with visible or ultraviolet light, but radio and X-rays from the centre can be detected.
Milky Way GalaxyThe galaxy that contains our Solar System is known as the Milky Way, and its name refers to how it appears to us on Earth: a hazy strip of light in the night sky made up of stars that are too close together to be seen individually. The phrase Milky Way is a translation from Greek (galaktikos kklos), which means "milky circle," into Latin via lactea. The Milky Way is a disk-shaped structure, yet when viewed from Earth, it seems like a band. In 1610, Galileo Galilei used his telescope for the first time to separate the band of light into individual stars. Most astronomers believed that the Milky Way held all of the universe's stars until the early 1920s.
Observations by Edwin Hubble proved that the Milky Way is only one of many galaxies after the 1920 Great Debate between the astronomers Harlow Shapley and Heber Curtis.
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help please asappp.
Answer:
Radio
Explanation:
As the stonger the waves get the more compressed they get
30 Joules of energy enter a light bulb. 20 joules of energy are transformed into light; how much energy is dissipated as heat?
What questions do you still have about supermassive black holes after watching this Ted Talk? Do you feel that you have a deeper understanding of what they are and why they are important, like was asked of you in the third question? Explain and discuss.
After watching the Ted Talk, there were still a few questions that I had about supermassive black holes. Firstly, I wanted to know more about the event horizon and what it exactly entails. Although the speaker briefly touched upon this subject, I would have appreciated a more in-depth explanation. Additionally, I would have liked to know more about the role of supermassive black holes in the universe.
While the speaker did mention that these black holes are responsible for the creation of galaxies, I wanted to know more about how this process works and why it is so important.Despite these questions, I do feel that I have a deeper understanding of supermassive black holes and their importance.From the Ted Talk, I learned that supermassive black holes are some of the largest objects in the universe and are essential for the formation of galaxies. I also learned that these black holes are incredibly powerful and have the ability to affect the trajectory of stars and planets.Overall, I think that the Ted Talk did a great job of explaining supermassive black holes in a way that was easy to understand. While there were still a few questions that I had after watching the video, I feel that I now have a better grasp of what supermassive black holes are and why they are so important.For such more question on supermassive
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When potassium iodide liquid is poured into lead nitrate solution (both clear solutions), a bright yellow solid, lead iodide, forms in a potassium nitrate solution. What are the signs that this is a chemical reaction? Check all that apply.
Heat is produced.
Light is produced.
Heat is absorbed.
Bubbles appear.
A precipitate forms.
The color changes.
Let's see the chemical equation
\(\\ \sf\longmapsto KI+Pb(NO_3)_2\longrightarrow PbI_2+KNO_3+\Delta H\)
Heat is produced (Exothermic)Light is producedA precipitate forms(Yellow solid)Color changesAnswer: the person above is wrong
the correct answers are:
E
F
A precipitate forms.
The color changes.
How was space travel made possible through the invention of transistors?.
Transistors themselves did not directly enable space travel, their invention revolutionized electronics, paving the way for the development of compact, efficient, and reliable electronic systems that played a vital role in making space travel a reality.
The invention of transistors itself did not directly make space travel possible, but it played a crucial role in the development of the technology that made space travel feasible.
Transistors are fundamental components of electronic devices and are widely used in various fields, including aerospace engineering.
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A system is best described as: a. a form of energy that is transferred between two substances at different temperatures. b. mass that assumes a physical shape and occupies space. c. any set of ordered, interrelated components working as a unified whole. d. the capacity to change the motion of, or to do work on, matter. e. the point at which characteristics can no longer be maintained and a new state is adopted.
differences differences between gravity and acceleration due to gravity
Look at this table. Accleration of gravity means gravitational constant.
Which contraction occurs when you try (unsuccessfully) to move a wall? A. Isometric B. Isotonic
Contraction that occurs when you try (unsuccessfully) to move wall is called : isometric contraction.
What is isometric contraction?Isometric contractions are that type of muscle contraction in which the muscle generates tension, but there is no change in the length of muscle. During an isometric contraction, muscle is contracting against a fixed resistance, such as wall or an immovable object, and muscle fibers are generating force but not changing in length.
Isotonic contractions involve a change in the length of muscle fibers, either by shortening (concentric contraction) or lengthening (eccentric contraction) the muscle. During an isotonic contraction, muscle is able to move a load or overcome resistance, such as lifting a weight or performing bicep curl.
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