A. The velocity of the second ball after the collision is 8 m/s.
What is collision?Collision is the physical contact between two or more objects. In physics, it is the result of two objects interacting with one another and exchanging energy, which can cause them to move, change direction, or deform. Collisions can occur between two objects, such as two cars, or between a single object and a surface, such as a car and a wall.
b. The total kinetic energy before the collision is 128 J. After the collision, the total kinetic energy is 0 J since the first ball has stopped. Therefore, the total kinetic energy before and after the collision are equal, verifying the answer.
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A 4.0 kg bowling ball sliding to the right at 8.0 m/s has an elastic head-on collision with another 4.0 kg bowling ball initially at rest. the first ball stops after the collision.
a. the velocity of the second ball after the collision is: 8 m/sec
b. it is verify the answer.
What is collision?Collision is the physical contact between two or more objects. In physics, it is the result of two objects interacting with one another and exchanging energy, which can cause them to move, change direction, or deform. Collisions can occur between two objects, such as two cars, or between a single object and a surface, such as a car and a wall.
a.
As we know from the conservation of momentum:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(4 × 8) + 0 = 0 + 4 × v₂
v₂ = 8 m/s
velocity of second ball after collision = 8 m/s right
b.
The total kinetic energy before the collision is 128 J. After the collision, the total kinetic energy is 0 J since the first ball has stopped. Therefore, the total kinetic energy before and after the collision are equal, verifying the answer.
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a machine has an efficiency of 70%. how much work does the machine do when 20,000 j of work is done on it?
The work done by the machine is 14000 joules if the efficiency of the machine is 70% and the 20,000 Joules work is done on it.
Efficiency of the machine is the ratio of the work done by the machine and the work done on the machine. It is a unitless quantity. In other words, efficiency of a machine is the ratio of output and input of the machine.
Work done on the machine = 20000 J
Efficiency(η%) = 70%
Efficiency(η%) = (Work done by the machine×100)/work done on the machine
70% = (100 × work done)/(work supplied)
70/100 = work done/20000
Work done = (70×20000)/100
Work done = 14000 J
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Disturbance that transfers energy from one place to another? A.waveB.energyC.vacuums
A disturbance that transfers energy from one place to another is known as a wave. Option A is the correct answer.
What is a wave?This refers to a disturbance that transfers energy from one place to another. A wave can take the form of elastic deformation, a variation of pressure, electric or magnetic intensity, electric potential, or temperature. Waves are of different types namely:
sound waveswater wavesElectromagnetic waves.Mechanical wavesLongitudinal wavesTransverse wavesProperties of wave
The main properties of wave include:
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two cars come to a stop from the same initial speed, one braking gently and the other braking hard.
Which car converts more kinetic energy to internal energy (for example, thermal energy in the brakes)?
o the car that braked hard o the car that braked gently
o Cars convert an equal amount of kinetic energy.
o It's impossible to determine.
According to the law of conservation of energy, the car that apply hard brakes will convert more kinetic energy to thermal energy. Hence option 'a' is correct.
Describe kinetic energy.Kinetic energy is any energy that an object gains as a consequence of motion. To accelerate an object, some force must be supplied to it. For apply a force, we must put more effort. After work is completed, energy is transmitted to the object, which then moves at a constant speed.
How can kinetic energy be used?Running and pacing. When moving air strikes the blades of a windmill, it creates rotation, which ultimately results in the production of energy. When moving water's kinetic energy strikes a turbine at a hydroelectric facility, it is transformed into mechanical energy.
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Which of the following is true about the electron configurations of the noble gases?1. The highest occupied s and p sublevels are completely filled.2. The highest occupied s and p sublevels are partially filled.3. The electrons which the highest energy are in a d sublevel.4. The electrons with the highest energy are in an f sublevel.
The noble gases have completely filled s and p sublevels and no electrons in d or f sublevels.
What is noble gases?Noble gases are a group of elements in the periodic table located in group 18. They are also known as rare gases due to their low reactivity. The noble gases consist of helium, neon, argon, krypton, xenon, and radon. Helium is the lightest and most abundant noble gas in the atmosphere, while radon is the heaviest and least abundant. These gases are colorless, odorless, and tasteless. They are generally unreactive and do not form compounds with other elements. This is because their outermost electron shells are filled and therefore they do not gain or lose electrons easily. Noble gases are used in many everyday applications, such as fluorescent lighting, welding, and cooling systems. They are also used in the medical field as an anesthetic and in certain industrial processes.
1. The highest occupied s and p sublevels are completely filled. - TRUE
2. The highest occupied s and p sublevels are partially filled. - FALSE
3. The electrons which the highest energy are in a d sublevel. - FALSE
4. The electrons with the highest energy are in an f sublevel. - FALSE
The noble gases have completely filled s and p sublevels and no electrons in d or f sublevels.
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a truck is accelerating as it speedsdown the highway. one inertial frame of reference is attachedto the ground with its origin at a fence post. a second frameof reference is attached to a police car that is traveling down thehighway at constant velocity. is the momentum of the truckthe same in these two reference frames? explain. is therate of change of the truck's momentum the same in these twoframes? explain.
In the first frame of reference, attached to the ground with its origin at a fence post, the momentum of the truck is given by the product of its mass and velocity.
As the truck is accelerating, its velocity is changing and therefore its momentum is also changing. The rate of change of the truck's momentum in this frame is equal to the force acting on the truck.
In the second frame of reference, attached to the police car that is traveling at a constant velocity, the truck is moving at a relative velocity with respect to the police car.
The momentum of the truck in this frame is still given by the product of its mass and velocity, but now the velocity is relative to the police car. The momentum of the truck will be different in this frame of reference.
The rate of change of the truck's momentum is not the same in these two frames. In the first frame, the rate of change of momentum is equal to the force acting on the truck.
However, in the second frame, the truck is moving with a constant velocity relative to the police car, so the rate of change of momentum is zero.
In summary, in the first frame of reference attached to the ground, the truck is accelerating and its momentum is changing, while in the second frame of reference attached to the police car, the truck is moving at a constant velocity relative to the police car, so its momentum is different but the rate of change of momentum is zero.
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Select one of the trials of Jessie running without a backpack. Make measurements and calculations to determine the amount of power her legs produce to offset the work done by the force of gravity as she runs up the hill.
The amount of power her legs produce to offset the work done by the force of gravity as she runs up the hill is found to be 3021.28W.
What does the force on the object do in terms of work?W = Fd is the formula for the amount of work W that a constant force does on an object. It is computed by dividing the force's magnitude by the distance the object travels in the force's direction.
Jessie's mass m = 58Kg
power = F x V;
f = mg
=> 58 x 9.8 => 568.98N
V => d/t
d = 1.35m; t= 0.2541s
V => 1.35/0.2541 = 5.31m/s
Power => 568.98N x 5.31m/s => 3021.28W.
How do power and energy differ from one another?Technically speaking, power is the rate at which work is done whereas energy is the capacity for work (or delivering energy, according to Encyclopedia Britannica). The amount of energy necessary to repeatedly accomplish the same task is the same, but if you want to complete it more quickly, you can exert more power.
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You can double the maximum speed of an object on a spring undergoing simple harmonic motion by:
a. Reducing the mass to one-fourth its original value
b. All of these
c. Doubling the amplitude
d. None of these
e. Increasing the spring constant to four times its original value
We can double the maximum speed of an object on a spring undergoing SHM by: a. Reducing the mass to one-fourth its original value, c. Doubling the amplitude, and e. Increasing the spring constant to four times its original value so option-a, c and e are correct
How does simple harmonic motion work?A motion is referred to as simple harmonic motion (SHM) when the restoring force is directly proportional to the body's displacement from its mean position. Always moving in the direction of the mean position, this restoring force.
When the restoring force is inversely proportional to displacement, oscillations become the most basic. Think back to the equation F = kx from Hooke's law, which describes this circumstance. The most basic type of oscillation, known as simple harmonic motion, is therefore described by and subject to Hooke's law.
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Option a, c, and e are accurate methods for increasing the spring constant to double the maximum speed of an object on a spring subject to SHM. Option a, c, and e involve reducing the mass to one-fourth its original value, doubling the amplitude, and increasing the spring constant to four times its original value.
What happens in a simple harmonic motion?Actually, the duration and frequency of SHM are solely influenced by the mass m and the force constant k.
When the restoring force is directly proportional to the body's displacement from its mean position, the motion is referred to as simple harmonic motion (SHM). This restoring force is always pointing in the direction of the mean position.
Oscillations become the most fundamental when the restoring force is inversely proportional to displacement. Remember the Hooke's law equation F = kx, which explains this situation. Therefore, Hooke's law describes and applies to the most fundamental kind of oscillation, known as simple harmonic motion.
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a 1000-kg car traveling with a speed of 25 m/s skids to a stop. the car experiences an 8000 n force of friction. how much work is done by the frictional force?
The work done by the frictional force will be 100,000 Joules.
In order to calculate the amount of work done by the frictional force, we must first determine the amount of force that is being exerted. In this case, a 1000-kg car is travelling at a speed of 25 m/s, and is experiencing an 8000 N force of friction.
To calculate the total amount of work done by the frictional force, we must use the equation: Work = Force x Distance, where Force is the amount of force in Newtons, and Distance is the amount of distance the car travels.
In this case, the Force is 8000 N, and the Distance is the amount of distance the car travels while it skids to a stop. Therefore, the total amount of work done by the frictional force is 8000 N x (25 m/s/2) = 100,000 Joules.
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we use radio waves, which travel at the speed of light, to communicate with robotic spacecraft. how long does it take a message to travel from earth to a spacecraft at: a. mars at its closest to earth (about 56 million km)? b. mars at its farthest from earth (about 400 million km)? c. pluto at its average distance from earth (about 5.9 billion km)?
When the robotic spacecraft Mars is 400 million kilometers away from Earth, we communicate with it via radio waves, which move at the speed of light.
Radio waves can they reach Earth?The atmosphere, fortunately, shields life on earth. The surface is also not accessible to infrared and long wavelength radio frequencies. Light, which really is difficult for the air to absorb, close rays, and some magnetic fields make up the electromagnetic waves that we can often view on the ground.
Why move at the same speed as light do radio waves?In reality, radio waves go through space incredibly swiftly. Since radio waves are an electromagnetic wave, they travel at the speed as light. Light travels at a speed of slightly less than 300,000 km/s second. A light beam could circle the Earth's equator more than seven times in a sec at that speed.
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Which of the following most closely explains what we would see from Earth according to the geocentric model that includes epicycles? Choose one: A. The planets would usually move west to east through the stars, but they appear to reverse direction when they are on the part of the epicycle that has motion opposite to that of the larger circle. B. The planets would always move east to west through the stars. C. The planets would remain stationary with respect to the stars, as they all orbit Earth at the same rate. D. The planets would usually move east to west through the stars, but they appear to reverse direction when they are on the part of the epicycle that has motion in the same direction as the larger circle. E. The planets would always move west to east through the stars
The planets typically move from west to east and through stars, but when they encounter the portion of the orbital path that moves counterclockwise to the greater circle, they appears to reverse course.
Describe motion.The location or orientation of the body's motion changes with time. Translation is defined as displacement along a path or a curve. Rotation is a motion in which the body's orientation is altered. Displacement, duration, velocity, accelerated, time, and speed are all used to define motion.
What makes motion crucial to physics?Force is needed to bring about that transition in motion. The time it takes to cover a distance depends on your speed; the distance is calculated as both the length of a straight line connecting your starting and stopping points.
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1.) A 200-g ball moving toward the right at a speed of 30 cm/ strikes a 400-g ball moving toward the left at an unknown speed, v. After collision they stick together and remain motionless. Find the speed of the 400-g ball before the collision.
2.) A 5kg mass moving to the right at a speed of 10m/s collides with an unknown mass initially moving to the left at the same speed. After collision they both moved to the right at the speed of 4m/s. Find the unknown mass.
Answer:
Q1) -15 cm/s and Q2) 2.143 kg
Explanation:
Q1) mass of the first ball: M1 = 200 g
initial velocity of the first ball: U1 = 30 cm/s
mass of the second ball: M2 = 400 g
initial velocity of the second ball: U2 = X cm/s
final velocity of the first ball: V1 = 0 cm/s
final velocity of the second ball: V2 = 0 cm/s
By using the law of conservation of momentum that states:
initial momentum = final momentum
(M1 x U1) + (M2 x U2) = (M1 x V1) + (M2 x V2)
however as after collision both the bass stick together their masses combine and the move together in the same direction with the same speed.
therefore;
(M1 x U1) + (M2 x U2) = (M1 + M2)(V)
(200 x 30) + (400 x X) = (400 + 200) (0)
6000 + 400X = 800 x 0
6000 + 400X = 0
X = -6000/400
X = -15 cm/s
( the minus sign indicates the opposite direction i.e. left)
Q2) M1 = 5 kg
M2 = X kg
U1 = 10m/s
U2 = -10 m/s ( as its the opposite direction)
V1 = 4 m/s
V2 = 4m/s
using the law of conservation of momentum:
(M1 x U1) + (M2 x U2) = (M1 x V1) + (M2 x V2)
( 5 x 10) + ( X x (-10)) = (5 x 4) + (X x 4)
50 - 10X = 20 + 4X
50 - 20 = 4X + 10X
30 = 14X
30/14 = X
2.143 kg = X
space exploring astronauts want to measure the gravity on a strange planet. they throw a rock upward at 11 m/s and it reaches a height of 10 m. find the acceleration due to gravity on that planet. express as a positive number.
The value of acceleration due to gravity on that planet is -2.2/t m/s.
The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose direction is determined by the strength of a plumb bob.
The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose direction is determined by the strength of a plumb bob.
using the equation of motion,
v - v0 = a. t
we know that the velocity at the height where it stops is zero, and time needed to get there is half the time of the whole movement, t' = t/2
⇒ - v0 = a. t/2
⇒ a = -v0.2/t
putting values in the above equation,
⇒ a = - 11 m/s . 2/t
⇒a = -2.2/t m/s
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what type of chemical energy is used to drive the light independent reactions
The chemical energy used to drive the light independent reactions, also known as the Calvin cycle, is in the form of ATP and NADPH.
ATP, or adenosine triphosphate, is a high-energy molecule that stores and releases energy. It is produced during the light-dependent reactions of photosynthesis through the process of photophosphorylation. NADPH, or nicotinamide adenine dinucleotide phosphate, is another high-energy molecule that is also produced during the light-dependent reactions through the process of non-cyclic electron flow.
Both ATP and NADPH are used in the light independent reactions to power the conversion of carbon dioxide into glucose and other sugars. The energy from these molecules is used to drive the fixation of carbon dioxide by an enzyme called rubisco, which converts it into a carbohydrate called 3-phosphoglycerate. This process is the key to the synthesis of glucose and other sugars in photosynthesis.
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how does the speed of the rock when it reaches the ground vd compare to the speed of the rock when it is thrown upward vu?
The speed of the rock when it hits the ground vd is greater than the speed of the rock when it is thrown upward vu(vd>vu).
The rock will eventually reach its maximum height above the ground if thrown upward. It will fall back to the ground at the same vertical height at which it was thrown at a speed of 15 m/s. The rock's speed will increase above its initial speed of 15m/s as it continues to fall 100m below its initial vertical position.
Velocity is the rate of change in the position of an object in motion as measured by a specific time standard (e.g., 60 km/h northbound). Velocity is a key concept in kinematics, the branch of classical mechanics that studies body motion.
Velocity is a physical vector quantity that must be defined by both magnitude and direction. Speed is a coherently derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s or ms1). For example, "5 m/s" is a scalar, whereas "5 m/s east" is a vector.
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Using two different colors, sketch the paths that the two blocks of ice take during the turn. Assume that friction between the bed of the truck and the ice may be neglected.
To sketch the paths that the two blocks of ice take during a turn draw, mark, and direct the arrows based on centripetal force.
To sketch the paths that the two blocks of ice take during a turn, you can follow these steps:
Draw a rough sketch of the truck and its bed, including the ice blocks.Mark the starting positions of the two ice blocks.Assume that friction between the bed of the truck and the ice may be neglected. This means that the blocks of ice will move in a straight line, following the path of the centripetal force acting on them.Draw the path of the first block of ice, starting from its initial position, and following the direction of the centripetal force.Draw the path of the second block of ice, starting from its initial position, and following the direction of the centripetal force.Use different colors for the two paths, to clearly distinguish between the two.Add any additional details or annotations as necessary, such as the direction of the centripetal force or the angle of the turn.To learn more about friction at
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It is sometimes said that if infinitely many planets existed, then every possible planet would have to exist, including, for instance, a planet exactly like Earth, except with unicorns. Is this necessarily true
In a limitless cosmos, there would therefore be an endless number all galaxies and planets. However, in an infinite world, there could only be finite amount if there was an infinitesimal likelihood that something would occur.
Which planet is the most brilliant?The biggest planet in own Solar System, Venus, can be viewed from Earth without the use of a telescope. Due to its constant and dazzling presence, Venus was granted the names "evening star" and "morning star."
The hottest planet is...Venus is the warmest planet within our solar system, with global temps hot enough to melt lead, thanks to its thick atmosphere that traps heat and causes a runaway greenhouse effect. Venus is around 700 degrees Fahrenheit (390 degrees Celsius) warmer that it would be without the greenhouse effect.
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A kangaroo can jump over an object 2.23 m high. a. Calculate its vertical speed when it leaves the ground.
A kangaroo can jump over an object 2.23 m high, its vertical speed when it leaves the ground is about 6.7m/s.
What is vertical speed?The rate at which an aeroplane rises or descends is known as its vertical airspeed. They both differ in terms of ground speed. Tracking the aircraft's rate of rise, or vertical airspeed, is done by monitoring the rate of descent, also known as the sink rate, which measures how quickly the aircraft is sinking. A projectile's vertical motion, which varies by 9.8 m/s2 every second, is independent of its horizontal motion.
If u is the starting velocity and v is the ending velocity, then
v² = u² + 2gs
0= u²-2(9.8) (2.23)
u²= 4.6(9.8)
u² = 45.08
u = 6.7m/s.
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A 20.0 kg rock is sliding on a rough, horizontal surface at 8 m/s and eventually stops due to friction.the coefficient of kinetic friction between the rock and the surface is 0.2
what average thermal power is produced as the rock stops?
a. 32.0
b. 78.4
c. 128.0
d. 313.6
Option d is Correct. As the rock comes to a stop, friction generates an average power of 313.6 watts.
Static friction prevents a body from starting to move when it is at rest. A body that is already moving is subjected to kinetic friction, which attempts to slow it down.
Self-adjusting static friction. The amount of external force used determines its coefficient. For instance, suppose a body is put on a rough surface with a weight of M and a reaction force of R = Mg.
You can use the formula P = Fv, where P is the average power, F is the frictional force, and v is 8.00 m/s, to find the average power of the sliding rock.
calculating the friction force F
N = mu * mu * mg
F = 0.200 * 20.0 kg * 9.8 m/s^2
F = 39.2 N
Finding the average power solution P
P = F * v
P = 39.2 N * 8.00 m/s
P= 313.6 watts.
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Two pieces of clay collide and stick together moving in one dimension. Clay 1 has a mass of 2,100 grams, and a clay 2 has a mass of 2,500 grams. Clay 1 has an initial velocity of 20 m/s immediately before they have a perfectly inelastic collision.
What is the final velocity of the two pieces of clay immediately after the collision?
a. 3.7 m/s
b. -3.7 m/s
c. 15 m/s
d.-15 m/s
The common velocity of clay 1 and clay 2 is 15 m/s. Option C
What is an inelastic collision?We know that a collision can be said to be inelastic when the momentum and the kinetic energy are not conserved. This implies that rather than having the objects move out in different directions, the objects would rather stick together and just move in the same direction.
In this case we would also need the law of the conservation of linear momentum. Recall that according to this law, the momentum before collision would just be the same as the momentum after Collison.
Thus;
Momentum before collision = momentum after Collison
(2100 * 20) + (2500 * 0) = (2100 + 2500)v
Where v is the common velocity
v = 42000/4600
v = 15 m/s
Thus they would have the common velocity of 15 m/s
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David throws a football into the air with an initial KE of 1000 J. Once the football reaches max height, the gravitational potential energy is 1.2 times the initial KE. What was the initial gravitational potential energy?
Group of answer choices
1000 J
200 J
0 J
2000 J
The initial potential gravitational energy will be 0 joules because the height will be zero.
What is kinetic and potential energy?Potential energy is the energy that is stored in any object of reffred to its height of the base of surface of earth. The object or system is unaffected by external factors like air or height. The power of moving particles within a system or an item is referred to as kinetic energy.
Does potential energy depend on mass?Potential energy is often represented by its height from surface. Height-dependent energy is known as gravitational potential energy. Weight determines the potential energy amount (mass times gravity).
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assuming the water is at rest, is the magnitude of the force of the water on the left side of the volume greater than, less than, or equal to the magnitude of the force of the water on the right side of the volume? explain your reasoning. 3. based on your answer to question a2, is the pressure at point b greater than, less than, or equal to the pressure at point c?
Assuming the water is at rest, then the magnitude of the force of the water on the left side of the volume is equal to the magnitude of the force of the water on right side of the volume. Pressure at point c will be greater than that of point b.
According to the pascal's law, the pressure applied on a confined fluid will be transmitted in all the direction, at every point, and on the wall of the container, without any change in the magnitude. Moreover, the pressure applied at a particular depth will be same in all direction. So if we assume that the water is at rest, and the area of left and right walls are equals, then the force will also be equal on both the walls.
If point c is deeper than the point b then the pressure on the point c will be greater than that of point b. As pressure = ρgh, where ρ is the density of water, h is the depth of a particular point.
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Despite their extensive applications in communication systems, radio waves and microwaves are not the only form of EM waves present in our atmosphere. Another form of EM radiation plays an even more important role in our life (and the life of our planet): sunlight. The sun emits over a wide range of frequencies; however, the fraction of its radiation that reaches the earth's surface is mostly in the visible spectrum. (Note that about 35% of the radiation coming from the sun is absorbed directly by the atmosphere before even reaching the earth's surface.) The earth, then, absorbs this radiation and reemits it as infrared waves.
In summary, radio waves and microwaves are important forms of EM radiation, but they are not the only ones. Sunlight, as well as for photosynthesis, the growth of plants, and the heating of the atmosphere.
what is atmosphere ?
Atmosphere is a layer of gases that surrounds the Earth and other planets. It is composed of nitrogen, oxygen, and other gases in small amounts. It helps to keep Earth's temperature stable, shield us from harmful ultraviolet radiation from the sun, and also helps to provide us with the oxygen we need to breathe.
The atmosphere is divided into five layers, each with distinct characteristics and functions. The troposphere is the closest layer to the Earth's surface and contains most of the Earth's weather and air pollution. The stratosphere is located above the troposphere and contains the ozone layer, which absorbs ultraviolet radiation.
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A 175 kg motorcycle has 6.8 x 10 *4 j of kinetic energy how fast is it going
Answer:
[tex]K.E. =1/2mv^2\\6.8*10^4=1/2*175*v^2\\777.14=v^2\\v=27.87 m/s[/tex]
Kinetic energy is the energy possessed by a body due to its motion.
Find the scalar x- and y-components of the following displacements in the xy plane (a)300cm at 127⁰ and (b) 500cm at 220⁰
(a) The scalar x- and y-components of the displacement 300cm at 127⁰ are 259.9cm and 150.8cm respectively.
(b) The scalar x- and y-components of the displacement 500cm at 220⁰ are -400cm and -309.3cm respectively.
Displacement is a physical concept referring to the distance an object moves in a certain direction. It is a vector quantity, meaning it has both magnitude and direction. Displacement is not the same as distance, as distance is the total length traveled, while displacement is the change in position. Displacement can be measured in any unit of length, such as meters, feet, or kilometers.
(a) The scalar x-component of the displacement is 257.7 cm and the scalar y-component of the displacement is 213.3 cm.
(b) The scalar x-component of the displacement is -403.3 cm and the scalar y-component of the displacement is -281.3 cm.
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The scalar x- and y-components of the following displacements in the xy plane (a)300cm at 127⁰ is -202.46 cm and -236.98 cm respectively, (b) 500cm at 220⁰ is -417.51 cm and -132.96 cm respectively.
What do you mean by displacement?It is the difference between the initial and final position of an object and is usually measured in meters or other units of length. It can be calculated by subtracting the initial position vector from the final position vector. In physics, displacement is often used to describe the motion of an object in one dimension, such as along a straight line.
To find the scalar x- and y-components of a displacement in the xy plane, we can use trigonometry. The x-component of the displacement is given by:
x = r * cos(θ)
where r is the magnitude of the displacement and θ is the angle the displacement makes with the x-axis (measured in radians). The y-component of the displacement is given by:
y = r * sin(θ)
where r is the magnitude of the displacement and θ is the angle the displacement makes with the y-axis (measured in radians).
(a) For a displacement of 300 cm at an angle of 127°:
x = r * cos(θ) = 300 cm * cos(127°) = -202.46 cm
y = r * sin(θ) = 300 cm * sin(127°) = -236.98 cm
(b) For a displacement of 500 cm at an angle of 220°:
x = r * cos(θ) = 500 cm * cos(220°) = -417.51 cm
y = r * sin(θ) = 500 cm * sin(220°) = -132.96 cm
Note that in the above examples, the angles are converted from degrees to radians before using them in the trigonometric functions.
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A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time. Which one is it
The correct graph is option A. This graph shows the volume of water in the birdbath over time, starting from the moment when water begins to flow in.
A graph is a visual representation of data or information, typically used to display patterns or relationships between different elements. It is made up of points, or nodes, which are connected by lines, arcs, or edges. Graphs can be used to represent mathematical relationships, physical distances, and other types of data such as networks, hierarchies, and geographical locations. Graphs are useful for visualizing complex information, and can help us gain insight into the data that would be difficult to understand from tables or spreadsheets alone.
The change in the water volume has a net gain of
20-18=2 mm/min
The birdbath's volume increases at a constant rate until it reaches its maximum and starts overflowing to keep a constant volume.
This is best represented by the graph A.
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one hundred joules of heat is added to a gas, and the gas expands at constant pressure. is it possible that the internal energy increases by 200 j? account for your answer with the aid of the first law of thermodynamics.
When the vapors expanded, the work was always positive, hence the energy is even less than 100 jewels. Therefore, this scenario is not plausible.
How much energy is one joule?
What is 1 J worth? It is sufficient to raise the temperature of a kilogram of water by one degree Celsius. A cup of coffee may be heated from ambient temperature to 50°C in roughly 12,000 J. A joule is therefore not a large amount of energy.
What other way can you express a joule?
In addition, one joule is equal to one watts of electricity radiated or lost each second. A developed SI unit of power is the joule. In addition to one megawatt second, one joule is also equal to 107 aerobic workouts, 0.2390 calories, and 0.738 foot-pound. The emblem of
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what phenomenon occurs when light passes through a glass plate with parallel, microscopic grooves on it?
Diffraction is the phenomenon occurs when light passes through a glass plate with parallel, microscopic grooves on it.
When light travels through a diffraction grating, which is made up of numerous parallel slits that are evenly spaced apart, an intriguing thing happens. A very similar interference pattern to that produced by a double slit is produced.
A diffraction grating is an optical component that separates (disperse) light made up of a variety of wavelengths (such as white light) into its individual wavelength components. The most basic kind of grating has a lot of parallel slits that are widely separated from one another.
Diffraction gratings are optical components that split polychromatic light into its underlying constituent wavelengths in instruments like spectrometers.
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An insulating sphere of radius a,centered at the origin, has a uniform volume charge density rho.
A spherical cavity is excised from the inside of the sphere.The cavity has radius a\4 and is centered at position h_vector, where|vector of h| < 3/4 a, so that the entire cavity is contained within thelarger sphere. Find the electric field inside the cavity.
Express your answer as a vector interms of any or all of rho,epsilon_0, r_vector, and h_vector
The electric field inside the cavity in terms of ρ, ε₀, r vector, and h vector is ρh/3ε₀.
What is referred to as an electric field?Every point in space has an electric field connected to it when charge, in any form, is present. The strength and direction of the electric field are expressed by the value of E, which is also known as the electric field strength, electric field intensity, or simply the electric field.
The electric field inside the cavity as a vector in terms of ρ, ε₀, r vector, and h vector is,
E'' = E -E' = ρ (h-a/4)/3ε₀ - ρa/4/3ε₀
E'' = E -E' = ρh/3ε₀.
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two space capsules, of equal mass, are put into orbit 30.0 m apart. the gravitational force between them is 2.0 x 10-7 n. a.) what is the mass of each capsule? b.) what is the initial acceleration given to each capsule by this force? c.) why does this acceleration change?
The object is pulled by the gravitate attraction, which causes it to curve away from a straight line of motion and nearly towards to the center of earth 2.0 х 10-7 n.a.
If the centers of two 15 kg balls are 35 m apart, what is the gravity between them?8. The Force of Gravity What gravitational force exists between two parcels weighing 15 kg and spaced 35 cm apart? What percentage of the volume of one package does this make up? The gravitational pull is 8.210 10 and 0.82 components per million of the mass since the weight is milligrams 147 N.
Why the moon's gravity should be the same for a world that is twice as big?The Earth has a stronger gravitational force than the moon, thus to start answering your question merely because Earth is a larger planet. The rising and lowering of the tides is a result of the moon's gravity, which also has an impact on Earth. But the story doesn't end there.
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A 1200-kilogram car traveling at 10. Meters per second is brought to rest in 0. 10 second. What is the magnitude of the average force that acted on the car to bring it to rest? A)1. 2 x 103N B )1. 2 x 10?N © 1. 2 x 105 N D) 1. 2 x 10°N
The average force that acted on the car to bring it to rest is 1.2 × 10⁵ Newton.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
The average force that acted on the car to bring it to rest is = - Change in momentum of the car/time interval
= (initial momentum - final momentum)/time interval
= (1200 kg × 10 m/s)/0.10 second
= 1.2 × 10⁵ Newton
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