The skydiver has the fastest speed at 4 seconds, and the correct statement is (b) "The skydiver has the fastest speed at 4 seconds".
To determine the skydiver's speed at each second, we need to consider the forces acting on the skydiver. In this case, the forces acting on the skydiver are the weight of the skydiver and the air resistance. The weight of the skydiver is constant at 500 N, while the air resistance increases with time.
According to Newton's second law of motion, the acceleration of an object is equal to the net force acting on it divided by its mass. In this case, the mass of the skydiver is not given, so we cannot calculate the acceleration directly.
Speed is the rate of change of displacement over time. In this case, the displacement of the skydiver is not given, so we cannot calculate the speed directly. However, we can use the information provided to determine the skydiver's speed at each second.
From the table, we can see that the air resistance increases with time, reaching a maximum of 500 N at 4 seconds. This means that the net force acting on the skydiver is greatest at 4 seconds, which would correspond to the highest acceleration and the fastest speed.
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. Calculate the momenturn of a bus of mass 2000 kg moving with a velocity of 20 m/s
We know
\(\boxed{\sf Momentum=Mass\times Velocity}\)
\(\\ \sf\longmapsto Momentum=2000(20)\)
\(\\ \sf\longmapsto Momentum=40000kgm/s\)
you visit your local fair and see a carousel. after observing it for some time, you notice that the ride completes a full rotation after 3.75 s 3.75s. what is the angular speed of the ride?
The angular speed of the ride is 0.533π rad/s.
What is speed?The speed of an object, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.
Given that, to complete one rotation the ride takes 3.75 sec.
The angle traversed in one revolution is 2π.
In physics, the rotational velocity or angular velocity also referred to as the angular frequency vector, is a pseudovector that illustrates how quickly an object's angular position or orientation changes over time.
The formula of angular speed is ω = θ /t
Here θ = 2π and t = 3.75
The angular speed is
ω = 2π/3.75
ω = 0.533π rad/s
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Which of these best describes the relationship between the incident ray, the reflected ray, and the normal for a curved mirror?(1 point)
Responses
The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.
The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.
The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.
The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. All points on a curved mirror have the same normal.
The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.
The angle that the incident ray makes with the normal is different than the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.
The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.
The angle that the incident ray makes with the normal is the same as the angle that the reflected ray makes with the normal. Different points on a curved mirror have a different normal.
For curved mirror, all points have same normal and angle of incidence is also equal to angle of reflection.
What is curved mirror?A curved mirror is a mirror with curved reflecting surface and the surface may be convex or concave. Most of the curved mirrors have surfaces that are shaped like part of sphere but other shapes are sometimes used in the optical devices.
For a curved mirror, all points have same normal and the angle of incidence is also equal to angle of reflection. According to the laws of reflection, incident ray, reflected ray and normal all lie on same plane. For curved mirror, normal remains the same at all points along the curved mirror.
Angle made between the incident ray and normal is the same as the angle made between reflected ray and the normal. Therefore, angle of reflection is equal to the angle of incidence.
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a block kept on a frictionless horizontal surface is acted upon by a force of 100N, as shown in the figure below.
What magnitude of force must be applied on the block from the opposite direction to stop its motion?
A) 50 N
B) 75 N
C) 100 N
D) 200 N
Answer:
The answer to this is C) 100N
How many players are allowed to play for one team during a game of
5 points
Netball?
Answer:
Netball is a ball sport for two teams of seven players it's rules are published in print and online by the international netball federation Games are played on a rectangular court divided into thirds with a raised goal at coach short end
Explanation:
It will help you
The following graph shows the motion of two objects – A and B. Solid line = A, dashed line = B. Both of them start out by moving to the right, and Object B starts moving 10 seconds after Object A as shown by the graph. 1.1 Calculate the magnitude of Object A’s deceleration. (1) 1.2 Calculate the magnitude of the displacement of Object A to the left. (2) 1.3 Which object is ahead (i.e.: further to the right) at t = 25 s, and by how many metres? (4) 1.4 Calculate the distance covered by Object B in the last 15 seconds of its motion shown above. (1) 1.5 How far is Object A from its starting point when t = 40 s? (2) 1.6 Calculate the velocity of Object B 25 seconds after it has started moving. (i.e.: at t = 35 s)
(1.1) The deceleration of object A is - 3.6 m/s².
(1.2) The magnitude of the displacement of Object A to the left is 945 m.
(1.3) The object further to the right at 25 s is B with distance of 200 m.
(1.4) The distance covered by Object B in the last 15 seconds 870 m.
(1.5) The total distance traveled by object A is 1,050 m
(1.6) The velocity of object B 25s after it has started moving is 35.6 m/s.
What is the deceleration of object A?(1.1) The deceleration of object A is calculated by applying the following method.
a = Δv/Δt
where;
Δv is change in velocityΔt is change in timea = (0 - 18) / ( 20 - 15)
a = - 3.6 m/s²
(1.2) The magnitude of the displacement of Object A to the left is calculated as;
Displacement = area under the curve;
D = ¹/₂ [(20s - 0s)(15s - 10s) x (18 m/s - 0 m/s)] + ¹/₂ (25 s - 20 s)(18 m/s - 0 m/s)
D = 900 m + 45 m
D = 945 m
(1.3) The object further to the right at 25 s is calculated as follows;
A = 18 m/s x 25 s = 450 m
B = 26 m/s x 25 s = 650 m
difference = 650 m - 450 m = 200 m
(1.4) The distance covered by Object B in the last 15 seconds of its motion is calculated as follows;
at t = 25 s, v = 26 m/s
at t = 40 s, v = 38 m/s
Δx = (40 x 38) - (25 x 26)
Δx = 870 m
(1.5) The total distance traveled by object A is calculated as follows;
between 0 to 30 s, D = 945 m + 45 m = 990 m
between 30 s to 40 s = ¹/₂(35 s - 30s)(8 m/s) + (40 s - 35 s)(8 m/s) = 60 m
total distance = 990 m + 60 m = 1,050 m
(1.6) The velocity of object B 25s after it has started moving is between 10 s and 35 s;
15 s --------> 26 m/s
35 s ------> ?
40 s -------> 38 m/s
(35 - 15)/(40 - 15) = (? - 26) / (38 - 26)
0.8 = (? - 26) / 12
? - 26 = 9.6
? = 35.6 m/s
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Two friends are pushing an 18-kg crate across the floor. One of them applies a force of 75.0 N to the left, and the crate moves at a constant speed. What force must the other person be applying, and in what direction does the force act?
The force that the other person must apply is 75 N in opposite direction (right).
What is applied force?
Applied force is defined as the force exerted on an object by another body or object.
The force applied by the other person is determined by applying Newton's second law of motion as follows;
F1 - F2= ma
where;
a is acceleration accelerationF1 is the first applied forceF2 is the second applied force in opposite direction to the firstWhen an object moves at constant, acceleration = 0
F1 - F2 = 0
F1 = F2
F1 = 75 N, then F2 = 75 N in opposite direction.
Thus, the force that the other person must apply is 75 N in opposite direction (right).
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Como puedo saber la carga de una partícula en un campo magnético
The charge of a particle in a magnetic field can be determined by measuring the force, velocity, and strength of the magnetic field using the Lorentz force equation. There are various methods to measure the charge, such as using a particle accelerator or mass spectrometer.
In a magnetic field, charged particles experience a force that can be used to determine their charge. This force, known as the Lorentz force, is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the strength of the magnetic field.
To determine the charge of a particle in a magnetic field, you can measure the velocity of the particle and the strength of the magnetic field, and then measure the force experienced by the particle. By rearranging the equation F = q(v x B), you can solve for the charge q.
It is important to note that the Lorentz force only applies to charged particles that are in motion. If the particle is stationary, it will not experience any force in a magnetic field.
In practice, there are many ways to measure the charge of a particle in a magnetic field, such as using a particle accelerator or a mass spectrometer. These techniques involve manipulating the motion of the particle in a controlled way and measuring the resulting forces and velocities to determine its charge.
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Complete question:
How can I know the charge of a particle in a magnetic field?
Work out the kinetic energy of a 2.5 kg remote-controlled car that is moving at 2 m/s.
Answer: 5 joules
Explanation:
mass=m=2.5kg
Velocity=v=2m/s
Kinetic energy=ke
ke=(m x v x v)/2
ke=(2.5 x 2 x 2)/2
Ke=10/2
Ke=5
Kinetic energy=5 joules
The kinetic energy of a 2.5 kg remote-controlled car that is moving at 2 m/s is 5 Joules.
What is kinetic energy?The energy which an item has as a function of motion is determined by the initial energy. It is described as the effort required to propel a material body from rest to the given velocity.
It is given that:
Mass of the remote-controlled car = 2.5 kg
Velocity of the car = 2 m/s
As we know,
Kinetic energy = k
k = (mv²)/2
As we know,
The mass is a tangible body's mass is the amount of matter it possesses. It's also a metric of inertia or the resistance to velocity when a net force is exerted.
m = 2.5 kg
v = 2 m/s
k = (2.5×2²)/2
k = 10/2
k = 5 Joules
Thus, the kinetic energy of a 2.5 kg remote-controlled car that is moving at 2 m/s is 5 Joules.
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How to find density of a gas.
Answer:
Subtract the mass of the cylinder from the mass of the cylinder when it contains gasoline. This is the mass of the gasoline. Divide this figure by the volume, 100 ml, to get the density.
An object 0.1 m tall is placed 0.4 m from a convex mirror with a focal length of 0.3 m. What is the height of the image?
Answer: no exact answer
=
Explanation:
If your initial speed was 15 m/s , and you were heading due west, what was your average velocity during braking
Answer:
Your average velocity would be 20 m/s.
Explanation:
hope this helped!
How much kinetic energy does a baseball with a mass of 0.143 kg have it it is traveling at a velocity of 41.1 m/s?
89.7 Joules
108 3 Joules
156.6 Joules
120.8 Joules
Answer:
E = 120.77 J
Explanation:
Given that,
Mass of a baseball, m = 0.143 kg
Velocity of a baseball, v = 41.1 m/s
We need to find the kinetic energy of the baseball. We know that the kinetic energy of an object is associated with its motion. It can be given by the formula as follow :
\(E=\dfrac{1}{2}mv^2\\\\E=\dfrac{1}{2}\times 0.143\ kg\times (41.1\ m/s)^2\\E=120.77\ J\)
So, the kinetic energy of the baseball is 120.77 J.
The kinetic energy of the baseball is 120.8 J.
What is kinetic energy?The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given is the Mass of a baseball, m = 0.143 kg and Velocity of a baseball, v = 41.1 m/s
substitute the values, we have
K.E = 1/2 x 0.143 x (41.1)²
K.E = 120.77 J
Hence, the kinetic energy of the baseball is 120.8 J.
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One consequence of Newton's third law of motion is that __________. A. Every object that has mass has inertia B. A force acting upon an object increases that objects acceleration C. All actions have equal and opposite reactions D. None of the above Please select the best answer from the choices provided. A B C D.
Answer:
B
Explanation:
a force acting upon an object increases that objects acceleration
Answer:
B
Explanation:
4.04 science k12 test
Question 1= DNA
Question 2=The cell must make copies of DNA before it can divide.
Question 3 =Mutations can be caused by errors during replication and by mutagens.
Question 4 =they are complementary
Question 5 =It is different than the original strand.
Hope this helps
K12 is a term that refers to the education system that covers primary and secondary education, typically from kindergarten through 12th grade. A K12 test would, therefore, be an assessment or examination that is designed for students within this educational framework.
Question 1:
DNA (deoxyribonucleic acid) is a molecule that carries the genetic instructions for the development, functioning, and reproduction of all living organisms. It consists of two strands twisted into a double helix structure and is composed of nucleotides containing a sugar-phosphate backbone and nitrogenous bases (adenine, thymine, cytosine, and guanine).
Question 2:
The cell needs to make copies of DNA before dividing to ensure that each daughter cell receives a complete set of genetic information. During cell division, the DNA is replicated through a process called DNA replication, where each strand of the double helix is used as a template to create two identical DNA molecules. This ensures genetic continuity and the transmission of genetic information to offspring cells.
Question 3:
Mutations in DNA can be caused by errors that occur during DNA replication, where mistakes or changes in the nucleotide sequence may occur. Additionally, mutations can be caused by external factors known as mutagens, such as radiation, certain chemicals, or environmental factors, which can damage or alter the DNA sequence.
Question 4:
When we say that DNA strands are complementary, it means that the nucleotide bases on one strand pair specifically with their complementary bases on the opposite strand through hydrogen bonding. Adenine (A) always pairs with thymine (T), and cytosine (C) always pairs with guanine (G). This complementary base pairing ensures the accurate replication and transcription of DNA.
Question 5:
During DNA replication, the new DNA strand formed is complementary to the original template strand. This means that the sequence of nucleotides in the new strand is precisely complementary to the sequence in the original strand. However, it is important to note that both strands of the double helix are used as templates during replication, resulting in two new DNA molecules, each with one original strand and one newly synthesized complementary strand. Therefore, each new DNA molecule consists of one original strand and one newly synthesized strand, making them identical to each other and slightly different from the original DNA molecule.
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The complete question is:
Question 1: What is DNA?
Question 2: Why must the cell make copies of DNA before it can divide?
Question 3: What causes mutations in DNA?
Question 4: What does it mean for DNA strands to be complementary?
Question 5: How is the new DNA strand formed during replication different from the original strand?
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Create 10 questions regarding how physical health affect social media .
They should be directed to
GEN Z
MILLENNIALS
& GEN X
for example : what impact do you think social media has had on you physically?
Sure, here are 10 questions regarding how physical health affects social media, directed toward Gen Z, Millennials, and Gen X:
Gen Z:
1. How often do you use social media in a day? Do you feel that it has an impact on your physical health?
2. Do you find it difficult to take a break from social media and disconnect from your devices? How does this affect your sleep patterns?
3. Have you ever experienced any physical symptoms such as headaches, eye strain, or neck pain due to excessive social media use? If so, how did you manage these symptoms?
4. How do you balance your time between physical activity and social media use? Do you think you spend more time on social media than being physically active?
5. Do you think that social media contributes to the pressure to maintain a certain physical appearance? How do you deal with this pressure?
Millennials:
1. How has your physical health been impacted by the use of social media? Do you feel that you spend too much time on your devices?
2. Have you ever felt overwhelmed or stressed due to the constant barrage of social media notifications and updates? How did you deal with these feelings?
3. Do you think that social media can contribute to a sedentary lifestyle? How do you combat this potential issue?
4. Have you ever experienced any physical symptoms such as carpal tunnel or back pain due to excessive social media use? How did you manage these symptoms?
5. How do you maintain a healthy balance between social media use and physical activity? Do you think you need to make changes to this balance?
Gen X:
1. How has social media affected your physical health? Have you noticed any changes in your physical activity levels or sleep patterns due to social media use?
2. Have you ever experienced any physical symptoms such as eye strain, headaches, or neck pain due to excessive social media use? How did you manage these symptoms?
3. Do you think that social media contributes to a sedentary lifestyle? How do you combat this potential issue?
4. How do you balance your time between social media use and physical activity? Do you feel that you need to make changes to this balance?
5. Do you feel that social media contributes to the pressure to maintain a certain physical appearance? How do you deal with this pressure?
What does the word Core mean?
a. The Sun's center
b. The layer of the Sun's atmosphere that looks like a halo during an eclipse.
c. The layer of the Sun's atmosphere that has a reddish glow.
d. Reddish loops of gas that link parts of sunspot regions.
The word Core means: The sun's center.
What is the core?Depending on the context, the word "core" can indicate many different things, but when it comes to the Sun, it typically refers to option the Sun's center. The nuclear fusion reactions that take place in the Sun's core are where the energy for the star is produced. The core of the sun is the area where nuclear fusion processes occur, producing a huge quantity of heat and energy. The sun's core has the highest temperature, up to a whopping 27 million degrees Fahrenheit. Since the sun's energy is produced in the core and radiates outward to its surface and beyond, the core is known as the sun.
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Help me please it due today at 11:59 pleasss
Answer:
see below
Explanation:
1. density = mass / volume
2. kg/mL, g/cm³
3. volume = mass / density
4. mass = density x volume
5.
d = m / v
d = 32.9 g / 45.78 mL
d = 0.72 g/mL
6.
vol = m / d
vol = 0.62 g / 120g/cm³
vol = 0.00517 cm³
7.
m = v * d
m = 2.07 g/mL * 60.9 mL
m = 126.063 g
please answer me fast
Answer: i think c
Explanation:QA: “What is ordinary glass made of ?”
Glass is mostly silica, or silicon dioxide, present as quartz in many types of sand. Pure silica forms a highly transparent glass, but has a very high melting or softening temperature, around 1700°C. Even at such high temperatures it is highly viscous and difficult to work. Its use is largely confined to applications requiring high transparency to ultra-violet and infra-red radiation, stability at elevated temperatures or low thermal expansion coefficient.
“Ordinary glass” windows and drinking vessels are typically made from soda-lime glass, containing silica with around 25% sodium, calcium and other oxides, which together reduce the softening temperature to roughly 500–600°C
A car of mass 1500 kg is moving with a velocity of 30 m/s. If the velocity-time graph for this car
is a horizontal line parallel to the time axis, then the velocity of the car at the end of 25 s will be
Answer:
v=30m/s
Explanation:
m = 1500kg
v = 30m/s
t = 25s
The velocity time graph is parallel to the time axis,
that means The Velocity is constant. ('constant' means remains same).
Therefore, after 25s, v=30m/s
A magnet placed against the wall of a metal shed falls to the ground, where it attracts a nail. What is the most likely explanation for this observation?
The wall is the opposite pole from the magnet.
The shed is not made of iron or steel.
The magnet is not magnetized.
The nail pulled the magnet to the ground.
Answer:
the answer is B but I'm not completely sure
The reason for this observation is that the shed is not made of iron or steel.
The special magnetic property of iron is called ferromagnetism. As a result of this special magnetic property, iron can be attracted easily by a magnet. Steel is made from iron so it is also highly magnetic.
In the question, a magnet placed against the wall of a metal shed falls to the ground, where it attracts a nail. The reason for this is that the shed is not made of iron or steel.
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a decigram is how many more times the weight of a milligram?
A decigram is a unit of weight measurement that is equivalent to one-tenth of a gram or 100 milligrams.
Therefore, a decigram is ten times more in weight than a milligram. This means that if an object weighs one milligram, it will weigh ten decigrams if the weight is converted to decigrams. The use of these units of measurement is essential in various fields such as medicine, chemistry, and physics, where accurate and precise weight measurements are necessary.
Understanding the relationship between different units of measurement is vital in converting and calculating weight measurements. It is important to note that proper conversion of units of measurement is crucial in ensuring accurate and consistent results in scientific experiments, laboratory work, and medication dosages.
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Which type of bond is the attraction between two oppositely charged atoms or groups of atoms
Answer:
The type of bond is ionic bond also called electrovalent bond.
Explanation:
This ionic bond is formed through an electrostatic attraction between two oppositely charged atoms.
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5. A a magnet exerts through the space around it. is the attractive push or pull that 6. A device consisting of an iron or steel core which magnetizes by an electrical current running through a wire coil that surrounds the core is an 7. Looking at data to try to find patterns is called 8. Materials that allow electric current to pass through them easily are called
Answer: nun
Explanation:
would you use a 200-ml beaker or a 200-ml volumetric flask if you wish to dissolve about 1 gram nacl in approximately 100 ml of water?
When working with solutions, it is important to use the appropriate glassware to ensure accurate measurements.
In this case, if you wish to dissolve approximately 1 gram of NaCl in approximately 100 ml of water, it is recommended to use a 200 ml volumetric flask instead of a 200 ml beaker.
A volumetric flask is designed to hold a specific volume of liquid at a specific temperature, whereas a beaker is not as precise and its volume can vary depending on factors such as temperature and meniscus.
A volumetric flask has a narrow neck and a flat bottom, and is designed to deliver a specific volume of liquid when filled to the line etched on the neck at a specific temperature, which is usually 20°C. Using a volumetric flask ensures that the concentration of the solution will be accurate, since the volume of the flask is precisely known.
Therefore, if you need to prepare a solution with a specific concentration, it is recommended to use a volumetric flask rather than a beaker, which is more appropriate for general mixing and handling of solutions.
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If the resistance in a constant voltage circuit is doubled, the power dissipated by that circuit will
a. increase by a factor of two.
b. increase by a factor of four.
c. decrease to one-half its original value.
d. decrease to one-fourth its original value.
When the resistance in a constant voltage circuit is doubled, the power dissipated by that circuit will decrease to one-half its original value. The correct option is (C).
This is because power dissipated by a circuit is directly proportional to the square of the current flowing through it and inversely proportional to the resistance of the circuit.
Mathematically, the relationship can be represented as:
P = I²R, where P is power, I is current, and R is resistance.
If resistance (R) is doubled, then the current (I) will be halved to maintain the constant voltage. Using the relationship above, we can see that the power (P) will decrease by a factor of four (2²) due to the halving of the current.
Therefore, the correct answer is option C: If the resistance in a constant voltage circuit is doubled, the power dissipated by that circuit will decrease to one-half its original value.
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How am I supposed to do this?
Answer: I don't know
Explanation:
a person wearing roller skates is standing in front of a wall. assume that the wheels on the skates are good enough that they roll ideally. the person pushes off the wall and begins traveling away from the wall. call the initial state when the person was standing at rest in front of the wall with her hand touching the wall. the final state is when she has traveled 2.1 m away from the wall and is moving at a constant speed of 0.69 m/s. for which of the following systems does the energy remain constant? click for a hint a. system: girl b. system: wall c. system: girl wall d. none of the above. a person is jumping on a trampoline. after coming off of the trampoline, the person is in the air for 1.1 seconds. call the initial state when the trampoline is at its lowest point with the person still on the trampoline. the final state is 0.88 seconds after the person comes off the trampoline. for which of the following systems does the energy remain constant? a. system: person earth b. system: trampoline c. system: person trampoline earth d. system: person e. system: person trampoline f. none of the above. pushing a box up a ramp / car crash you push a box up a ramp (friction between the box and the ramp is not negligible). call the initial state when you begin to push the box. call the final state after you have pushed the box up the ramp a distance of 0.5 m and it is moving with a speed of 2 m/s for which of the following systems does the energy remain constant? a. system: box ramp earth you b. system: box ramp c. system: you d. system: box e. system: box ramp earth f. none of the above. two cars are driving down the road. they notice that they are going to crash, so both drivers slam on the brakes. the cars skid, but still collide. the cars stick together and eventually slide to a stop. call the initial state just before the drivers apply the brakes and the final state just after the collision had occurred. treat this situation as realistically as possible. for which of the following systems does the energy remain constant? a. system: both cars b. system: both cars the ground c. system: the first car d. system: the second car e. none of the above.
In the first scenario, the energy would be conserved in the system of the girl-wall, The correct answer is option c
In the second scenario, the energy would be conserved in the system of the person-trampoline-earth, The correct answer is option c
In the third scenario, the energy would be conserved in the system of the box-ramp-earth, The correct answer is option a
In the fourth scenario, in a realistic scenario, the energy would not be conserved in any of the given systems due to external work done on the system. The correct answer is option e
For the first scenario of a person wearing roller skates, assuming there is no external work done on the system, the system of the girl-wall would be the appropriate system to consider. The energy would not be conserved in any other system, as there would be external work done on the system due to forces acting on the girl, wall, or both. Therefore option c is correct.
For the second scenario of a person jumping on a trampoline, assuming there is no external work done on the system, the appropriate system to consider would be the system of the person-trampoline-earth, as the energy would be conserved within this closed system.
None of the other systems would conserve energy, as external work would be done on the system due to the forces acting on the person, trampoline, and/or Earth. Therefore option c is correct.
For the third scenario of pushing a box up a ramp, assuming there is no external work done on the system, the appropriate system to consider would be the system of the box-ramp-earth, as the energy would be conserved within this closed system.
None of the other systems would conserve energy, as external work would be done on the system due to the forces acting on the box, ramp, and/or Earth. Therefore option a is correct.
For the fourth scenario of two cars colliding and coming to a stop, it is important to note that in a realistic scenario, there would be external work done on the system due to forces such as friction, air resistance, and deformation of the cars.
Therefore, the energy would not be conserved in any of the given systems. However, if the scenario were simplified to only consider idealized, perfectly elastic collisions in a vacuum, then the system of both cars would conserve energy. Therefore option e is correct.
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what an example of a fraction that is sometimes used to approximate pi?
One example of a fraction that is sometimes used to approximate pi is 22/7. This is a common approximation of pi that is often used in mathematics and engineering.
A fraction is a mathematical expression used to represent a part of a whole or a portion of a quantity. Fractions are a fundamental concept in mathematics that are used in many different contexts and are essential for understanding more advanced mathematical concepts.
Fractions is important in many areas of life, including cooking, construction, and finance. In finance, understanding fractions is important for calculating interest rates, percentages, and ratios. For example, the fraction 1/2 represents one out of two equal parts or half of the whole. Fractions can be used to represent numbers that are not whole, such as 1/4, 3/8, or 7/10. They can also be used in mathematical operations such as addition, subtraction, multiplication, and division.
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An object is placed 15 cm in front of a diverging lens whose focal length is 12 cm. Where will the image be located ( in cm) ? A) -6.7. B) -7.2. C) -0.15.
Answer:
A) -6.7 cm
Explanation:
An object is placed 15 cm in front of a diverging lens (concave lens)
So u = -15 cm
and f = -12 cm (also given)
So, using the lens formula 1/f = 1/v - 1/u,
1/v = 1/f + 1/u
= [1/(-12)] + [1/(-15)]
= -3/20
So, v = -20/3 = -6.67 or ≈ -6.7 cm