Answer: 0.18 m/s
Explanation:
This is a conservation of momentum problem. Total momentum before the collision must equal the total momentum after the collision.
Momentum = p = mv
let x = velocity of the second marble after the collision
(0.15 kg)(2.5 m/s) + (0.25 kg)(-3.0 m/s) = (0.15 kg)(-2.8 m/s) + (0.25 kg)(x)
-0.375 kg·m/s = -0.42 kg·m/s + (0.25 kg)x
(0.25 kg)x = (0.42 - 0.375) kg·m/s = 0.045 kg·m/s
x = (0.045 kg·m/s) / (0.25 kg) = 0.18 m/s
a sodium photoelectric surface with work function 2.3 ev is illuminated by electromagnetic radiation and emits electrons. the electrons travel toward a negatively charged cathode and complete the circuit shown below. the potential difference supplied by the power supply is increased, and when it reaches 4.5 v, no electrons reach the cathode. (a) for electrons emitted from the sodium surface, calculate the maximum kinetic energy, end the maximum speed. (b) calculate the wavelength of the radiation that is incident on the sodium surface. (c) calculate the minimum frequency of light that will cause photoemission from this sodium surface.
(a) The highest possible rate of kinetic energy is -2.2 eV and the highest possible rate of speed is 2.3 × 10⁶ m/s.
(b) The length of the radiation's wave is 86 nm.
(c) The lowest frequency of visible light is 3.5 x 10¹⁴ Hz.
SOLUTION
To solve this problem, we can use the following equations:
- The maximum kinetic energy of the electrons emitted from the sodium surface is given by:
KEmax = Work function - Potential difference
- The maximum speed of the electrons is given by:
vmax = sqrt (2 × KEmax ÷ m)
where m is the mass of the electron.
- The incident radiation wavelength can be calculated using the Planck-Einstein equation:
E = h × f
where E is the energy of the incident radiation, h is the Planck constant, and f is the frequency of the radiation.
- The minimum frequency required for photoemission can be calculated using the work function of the sodium surface:
fmin = Work function ÷ h
- Using these equations, we can calculate the following:
(a) The maximum kinetic energy of the electrons is given by:
KEmax = 2.3 eV - 4.5 V = -2.2 eV
Hence, the maximum kinetic energy is -2.2 eV.
- The maximum speed of the electrons is given by:
vmax = sqrt(2 × (-2.2 eV) ÷ (9.1 × 10⁻³¹ kg)) = 2.3 × 10⁶ m/s
Hence the maximum speed is 2.3 × 10⁶ m/s.
(b) The incident radiation wavelength can be calculated using the Planck-Einstein equation:
E = h × f
f = E ÷ h
f = 2.3 eV / (6.6 × 10⁻³⁴ J × s) = 3.5 × 10¹⁴ Hz
lambda = c ÷ f
lambda = (3.0 x 10⁸ m/s) ÷ (3.5 x 10¹⁴ Hz) = 8.6 x 10⁻⁷ m = 86 nm.
Hence, the wavelength of the radiation is 86 nm.
(c) The minimum frequency required for photoemission can be calculated using the work function of the sodium surface:
fmin = 2.3 eV ÷ (6.6 × 10⁻³⁴ J × s) = 3.5 × 10¹⁴ Hz
Hence, the minimum frequency of light is 3.5 × 10¹⁴ Hz.
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how does the size of the habitable zone around a star of spectral class g compare to the size of the habitable zone around a spectral class m star?
The size of the habitable zone around a star of spectral class g is larger to the size of the habitable zone around a spectral class m star.
What is a habitable zone?The range of orbits around a star within which a planetary surface may sustain liquid water given sufficient atmospheric pressure is known as the habitable zone, sometimes known as the circumstellar habitable zone (CHZ) or simply the habitable zone.The CHZ's boundaries are determined by Earth's location within the Solar System and the quantity of solar radiation it receives.Given the significance of liquid water to Earth's biosphere, the nature of the CHZ and the things contained inside it may be crucial in defining the range and distribution of planets capable of supporting Earth-like extra terrestrial life and intelligence.Due to the possibility that there are more planetary-mass moons in the CHZ than planets, the region is also of great interest to the newly growing topic of the habitability of natural satellites.To learn more about habitable zone, refer:
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A 70.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 10.0 m) and spun at a constant angular velocity of 16.3 rpm. Answer the following:
What is the angular velocity of the centrifuge in rad/s ?
What is the linear velocity of the astronaut at the outer edge of the centrifuge?
What is the centripetal acceleration of the astronaut at the end of the centrifuge?
How many g’s does the astronaut experience?
What is the centripetal force and net torque experienced by the astronaut? Give magnitudes and directions.
The astronaut faces 1.71 rad/s angular velocity, 17.1 m/s linear velocity, 29.2 centripetal acceleration, 3 g's are experienced, and 2044 N of centripetal force. The torque experienced is zero
What is rotational motion?
An object is said to be in rotational motion when it is travelling in a circular route around a fixed axis. Centrifugal force is a radially outward force that the item experiences as a result of this motion.
The image given below explains the conversion. The torque is zero since there is no tangential force.
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what is the molecular mass of an ideal gas of rms speed 542 m/s and average translational kinetic energy 6.93e-21 j
The Molecular Mass of ideal gas as per kinetic theory is 12.541 g.
The square root of the average square velocity is known as the root mean square or RMS velocity. Its units of velocity reflect this. Since all of the particles in a typical gas sample are moving in all directions, the net velocity for that sample is zero, which is why we use the rms velocity instead of the average. The square root of the average square are of the velocity is the root mean square velocity. Since the particles in a typical gas sample are moving in all directions, the net velocity is zero, which is why we use the rms velocity rather than the average velocity.V=√[3RT/M]
squaring both sides of equation
V²=3RT/M
M=3RT/V²M= 3 x 8.3 x 273/542
=12.541 g
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the amount of air drag on an 0.8n flying squirrel dropping vertically at terminal velocity is
The velocity of a vehicle is typically expressed relative to ground.
What is velocity?Velocity is the speed of something that is given direction.
velocity is the measurement to a body's "pace of change of the displacement in relation to time" whenever the main body is traveling through along a straight route.
It is common knowledge of that the word "linear" refers to be something that is totally straight; therefore, when the body moves in a straight path, it is said to be linear velocity .
Alternatively, velocity is the distance traveled by a body traveling in a specified to the direction during of a predetermined period of time. Thus, the fundamental idea of linear velocity is the provided by the union of these two quantities.
Because it always has the direction of velocity is a vector.
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Hello please .
How far would a person run in seconds at an average speed of 7ms-1
At an average speed of 7m/s, the distance covered in one second is 7 meters.
What is the distance covered in one second?Speed is simply referred to as distance traveled per unit time.
It is expressed mathematically as;
Speed = Distance ÷ time.
Given the data in the question;
Speed = 7m/sElapsed time = 1 secondDistance traveled = ?Plug the given values into the above formula and solve for distance traveled.
Speed = Distance ÷ time
Distance = Speed × Time
Distance = 7m/s × 1.0s
Distance = 7ms/s
Distance = 7m
Therefore, in a second, the person covers 7 meters.
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what is the ppc cycle? what is the process?
Answer:
The PPC Cycle refers to Production Planning Control. It has 3 phases—preplanning, planning, controlling. The Pre-Planning Phase consists of product development, sales forecasting, factory or plant layout, equipment selection policy, and preplanning of production just prior to large scale production.
Dakota moves a magnetic toy train toward a magnet that cannot move. What happens to the potential energy in the system of magnets during the movement?.
A network of transformers and transmission cables transfers electrical power from
power stations to consumers.
What is this network called?
A transmission Grid is called a network of transformers and transmission cables that transfer electrical power from power stations to consumers
Electrical transmission is the process of providing highly efficiently generated electricity to a district or over larger and longer distances. The main point of the grid is to give people access to electricity 24 hours without interruption and without any trouble in populated areas. Transformers play a crucial role in this. Transformer help in increasing the voltage of the grid to make it more powerful and effective. It helps in the feasible transmission of the grid.
The electrical transmission system is combined with power plants in cities, distribution systems for easier access to electricity, and sub-stations for backup and other purposes which is to form what is known as the electrical grid. The grid meets people's electricity requirements and is what gets the electrical power from its generation to its end use. Since power plants are most often located outside of densely populated areas, the transmission system must be fairly large scale.
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A network of transformers and transmission cables transfers electrical power from power stations to consumers is called as a transmission grid.
What is a transmission grid?Electric power transmission is the bulk movement of electrical energy or power from a generating site, such as a big power plant, to an electrical substation or other places. The interconnected lines which facilitate this movement of electrical energy form a transmission network or transmission grid.
A transmission grid is a network of power stations, transmission lines, and the substations. Energy is generally transmitted within a grid through the three-phase AC. Single-phase AC is used only for distribution to end users however, it is not usable for the large polyphase induction motors. The two-phase transmission was used but it either required a four wires system or three wires with unequal currents. Higher order phase systems require more than three wires, but they cannot deliver little or no benefit.
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dielectric breakdown in air occurs when the electric field is approximately 3 × 106 v/m. t or f
There is an air dielectric breakdown (10 mT). This happens when air (a dielectric) breaks down and charges are transferred from the sky to the earth.
How to fix?In an electromagnetic wave, the connection between the strength of the electric and magnetic fields is E=cB.
where E is the size of the electric field.
The speed of light is c.
B is the magnetic field's strength.
E=3.106V/m is the electric field, and c=3.108m/s is the speed of light in this equation.
When we solve for B, we get B=E/c=3.106 V/m/3.108 m/s=0.01T=10mT.
Where is the site of dielectric breakdown?When the electrical voltage across a material is greater than the substance's dielectric strength, dielectric breakdown occurs, leading to partial ionization. When a gas breakdowns, the ionization dramatically diminishes the gas' electrical insulating qualities, producing a spark or an arc.
How does a liquid dielectric breakdown happen?High electric strengths (on the order of 1 MV/cm) and phenomena resembling those for gases control breakdown in highly purified liquid dielectrics. Liquids, which can contain particles, other liquids in suspension, and dissolved gases, are sadly readily polluted.
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A light shines on a metal surface but no electrons are observed to be leaving. What would we need to do experimentally to eject electrons from the surface?.
a neon yellow 75g ball is launched at an angle of 50 with the level ground. it has an initial velocity of 15 m/s. assume that there is no air resistance and that the ball lands at the same elevation that it was launched . what is the maximum height that the ball reaches ? what is the reange of the ball ?
The maximum height that the ball reaches is 8.79 m and the range of the ball is 12.29 m
To find the maximum height that the ball reaches, you will need to use the equation for the vertical displacement (y) of the ball:
y = Vy * t - (1/2) * g * t^2
Where Vy is the vertical component of the initial velocity, t is the time elapsed, and g is the acceleration due to gravity.
To find the time at which the ball reaches its maximum height, set the vertical displacement (y) to zero and solve for t:
0 = Vy * t - (1/2) * g * t^2
This equation can be rearranged to:
t = √(2Vy/g)
Then, substitute the given values for the initial velocity (Vy) and the acceleration due to gravity (g), and solve for t:
t = √(2 * 15 m/s * sin(50) / 9.8 m/s^2)
t = 1.16 s
y = Vy * t - (1/2) * g * t^2
y = 15 m/s * sin(50) * 1.16 s - (1/2) * 9.8 m/s^2 * (1.16 s)^2
y = 8.79 m
To find the range of the ball, you will need to use the equation for the horizontal displacement (x) of the ball:
x = Vx * t
Where Vx is the horizontal component of the initial velocity and t is the time elapsed.
To find the time elapsed (t), use the equation for the time at which the ball reaches its maximum height:
t = √(2Vy/g)
Substitute the given values for the initial velocity (Vy) and the acceleration due to gravity (g), and solve for t:
t = √(2 * 15 m/s * sin(50) / 9.8 m/s^2)
t = 1.16 s
To find the horizontal component of the initial velocity (Vx), use the equation:
Vx = V0 * cos(θ)
Where V0 is the initial velocity of the ball and theta is the angle of launch. Substitute the given values for the initial velocity (V0) and the angle of launch (theta), and solve for Vx:
Vx = 15 m/s * cos(50)
Vx = 10.6 m/s
To find the range of the ball, substitute the values for the horizontal component of the initial velocity (Vx) and the time elapsed (t) into the equation for the horizontal displacement (x):
x = Vx * t
x = 10.6 m/s * 1.16 s
x = 12.29 m
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Electricity flows in a circle. It flows from the outlet to the electric device and back to the outlet. If something gets in the way of this flow, what is it called?.
The things that get in the way of electrical flow is called insulator.
An insulator is a material (body or substance) that resists electrical flow through it. Therefore, it can be said that the insulator gets in the way of electricity flow. Electrical insulators usually have electrons that are tightly bounded to each other, making them not able to move freely.
Electrical insulators are usually used to support and separate electrical conductors in various electrical equipment. The purpose is to hold the conductors in position without allowing electrical current through itself.
Some examples of electrical insulators are:
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Answer: Insulator
Explanation:
If something gets in the way or breaks the flow of electricity, it is called an insulator.
What three conservative double latter
One possible response is WOOLLEN, which is pronounced "double U, double O, double L." The only terms with consecutive triple doubles that are commonly used are BOOKKEEPER (or BOOKKEEPING), which offers a more gratifying solution.
which three double-letter states are there?
If you're looking for a single word with three consecutive letters, "ghi" is the one you desire!
What word has three double letters in it?
An ancient joke asks, "Can you think of a term with three consecutive double letters?" One possible response is WOOLLEN, which is pronounced "double U, double O, double L." The only terms with consecutive triple doubles that are commonly used are BOOKKEEPER (or BOOKKEEPING), which offers a more gratifying solution.
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a crate of grapes lifted 10 meters gains 200 j of potential energy. if the same crate is instead lifted 20 meters, its gain in potential energy is
A same crate gains twice as much potential energy when it is raised 20 meters alternatively.
What is potential energy, exactly?Potential energy is a form of energy that is dependent on the relationship between different system components. When a springy is stretched or stretched, its potential energy increases. If a steel ball is pushed above the ground as opposed to descending to the ground, it has more energy stored.
What kind of potential energy is that?An object has the capacity to store energy because of its position. As an example, a destruction machine's large ball is conserving energy by being held in a high position. This positional force that has been saved is known as electric potential.
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a student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 n. what is the approximate acceleration of the bookshelf?
Acceleration of the bookshelf is 1.30 m/[tex]s^{2}[/tex] when mass is 51.5 kg and force is 67 N.
To find the acceleration, we use newton's second law of motion. According to newton's second law of motion,
" The acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass." Newton's second law of motion gives the measurement of force.
Acceleration is the result of force on an object.
The formula for finding acceleration from this law is.
Acceleration = Force/ Mass
a = F/m
So, a = 67/51.5 m/[tex]s^{2}[/tex]
= 1.30 m/[tex]s^{2}[/tex]
Acceleration in this case is 1.30 m/[tex]s^{2}[/tex]
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what is expected to happen to the total peripheral resistance (tpr) when the hand is placed in the ice cold water?
Blood pressure decreases is expected to happen to the total peripheral resistance (tpr) when the hand is placed in the ice cold water.
Why is total peripheral resistance important?Hypertension is characterized by an increase in peripheral resistance overall brought on by both functional and structural changes in the arterioles, and endothelial malfunction is a significant factor in the rise in arteriolar tone. TPR is influenced by a number of variables, including blood viscosity and volume as well as hormone and neurotransmitter levels in the blood.
What occurs when total peripheral resistance is raised?Hypertension is characterized by an increase is total peripheral resistance brought on by both changes in structure and function in the arterioles, and angiogenesis is a significant factor in the rise in arteriolar tone.
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A ball weighing 10kg traveling a 1.4m/s hits and rebounds back off a wall and now travels 1.4m/s in the opposite direction. What is the work done on it?
Answer:
the work done on it is if it bounces of the wall then it can bounce back to you
Explanation:
if the ring is off-center when it drops on the disk, how will that affect the results? think about the effect on the moment of inertia.
The disk will continue to spin if the ring strikes it off-center, but the moment of inertia will be affected.
The disk will be out of balance due to the ring's off-center placement, which will result in a lower moment of inertia than it would have if the ring were centered. The disk will therefore not spin as quickly or for as long as it would if the ring were in the middle.
This implies that the ring's rotational energy will not be dispersed uniformly, leading to an uneven, or skewed, rotation. The off-center ring's inability to accurately reflect the moment of inertia will result in an erroneous measurement of it.
What is moment of inertia?
The term "moment of inertia" refers to a physical quantity that quantifies a body's resistance to having its speed of rotation along an axis changed by the application of a torque (turning force).
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Which way is rain formed in the tropics where the air is warmer?
A) Condensed ice crystals collect other ice crystals until they fall from the clouds and
then melt into rain when they hit a layer of warm air.
B) Condensed water droplets collect other water droplets to form the collector drop
until they fall from the clouds as rain.
Condensed water droplets collect other water droplets to form the collector drop until they fall from the clouds as rain. In this way rain is formed in the tropics where the air is warmer.
What does the process of rain formation?A significant volume of water evaporates and is released into the atmosphere when water bodies are heated during the day. Evaporation is the term for this. Water vapour is carried upward by the hot air as it rises. The air cools and expands as it rises. Condensation is the term for this occurrence. Clouds are created as a result of water vapour condensation. With the assistance of the wind, these clouds are transported away, and when they become heavy, they drop to the ground as rain.
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an ambulance is generating a siren sound at a frequency of 2,400 hz. the velocity of sound is 345.0 m/s. if the ambulance is traveling at a velocity of 24.00 m/s toward from the stationary observer, then what is the frequency of the siren perceived by the observer?
The frequency of the siren perceived by the observer is 2,566 Hz.
Calculation:
F = fo(Vsound +V)/(Vsound⁻V source) 2000*(345+24)/345 = 2,566 Hz.
Frequency describes the number of waves passing through a particular location at a particular time. So if the wave takes 1/2 second to travel, the frequency is 2 per second. If it takes 1/100th of an hour, the frequency is 100 per hour.
The term frequency refers to the number of waves passing through a fixed point in a unit of time. It also describes the number of cycles or vibrations an object undergoes in periodic motion in a unit of time. The frequency of a particular data is the frequency with which the data value occurs. Denote the frequency of the data values by f.
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the electron-group arrangement around a central atom is defined by the number of –electron groups. the molecular shape is defined by the relative positions of the around the central atom. two species may have the same electron-group arrangement but have different molecular shapes. t or f
The total number of Valence electron groups determines the configuration of electron groups around a core atom. The relative placements of the atoms around the core atom determine the shape of the molecular structure.
There are three bonding electron groups and one nonbonding electron group in a molecule with four total electron groups surrounding the center atom. Its molecules have a trigonal pyramidal configuration.Molecules are made up of one or more atoms connected by covalent (chemical) connections. Atoms can be visualized as circles with a nucleus at the centre (made up of protons and neutrons) and one or more concentric circles surrounding them. These circles represent the "shells" or "levels" in which the electrons surrounding the nucleus of the atom are located, along with markings indicating the electron at each level.A molecule is the smallest unit into which a substance may be subdivided and still remain the same thing. It has two or more atoms in it.
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Find the value of the decay constant of a radioactive substance having a half-life of
0.02 seconds.
34.65 is the value of the decay constant of a radioactive substance having a half-life of 0.02sec.
Half-Life: It is the amount of time it takes for half of a Radioactive particular sample to react particular quantity requires to reduce its initial value to half. That means the time taken by the radioactive substance or isotopes to decay half.
Half-Life Formula :t₁/₂ = 0.693/λ
Where as t1/2 is Half-Life of a radioactive substance
λ= decay constant
We have t1/2 = 0.02sec substitute in the formula
0.02=0.693/λ ⇒λ= [tex]\frac{0.693}{0.02}[/tex]
λ= 34.65
The decay constant of a radioactive substance having a half life-life of 0.02 is 34.65.
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An object moving at 44 m/s is increasing in speed by 2 m/s². After 3 seconds, what
would its velocity be?
Answer:
50m/s
Explanation:
a =(V-U)/t
V=? , U = 44m/s, t= 3s, a = 2m/s²
so, using the equation,
2= (V -44)/3
V = 50m/s
why were you cautioned not to mix the solution in one spot with the solution in another spot on your spot plate
Answer: Depending on the factors, combining two chemicals that aren't designed to interact might result in an explosion, an unintended chemical reaction, or a misleading result.
What is explosion ?
An explosion is a sudden increase in volume accompanied by a tremendous energy release that typically results in the production of high temperatures and the discharge of high-pressure gases. High explosive detonations produce supersonic explosions that move through shock waves.
Explosions often fall into one of three categories: chemical, mechanical, or nuclear. Every kind of explosion has the potential to be devastating and serious, wreaking unimaginable damage on the local populace, environment, and infrastructure.
What causes gamma ray bursts is one of the largest unsolved questions of all. These bursts, which happen around once every day, are the most powerful explosions known to science.
Thus, depending on the factors, combining two chemicals that aren't designed to interact might result in an explosion, an unintended chemical reaction.
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if a system does 57.0 kj of work on its surroundings and releases 105 kj of heat, what is the change in the internal energy of the system, in kj?
The changes in the internal energy of the system -164 KJ.
Solution:
change in internal energy = q + w
= -105 KJ(+ 57 kg)
= -164 KJ.
The change in internal energy of the system is the sum of heat transferred and work done. The heat flux is equal to the change in internal energy of the system plus the PV work done. The change in internal energy of the system is the sum of heat transferred and work done.
The heat flux equals the change in internal energy of the system plus the PV work. An isolated system cannot exchange heat or interact with its surroundings, so its internal energy change is equal to zero. But in a cyclical process, the total change in the internal energy of the system is zero.
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you are riding on the edge of a spinning playground merry-go-round. if you pull yourself to the center of the merry-go-round, what will happen to its rotation?
If you pull yourself to the center of the merry-go-round, the rotation of the merry go round will decrease.
What is the centripetal acceleration of a merry go round?This is the radial acceleration experienced by a person moving in a circular path as the merry-go-round rotates about its mean position.
a = v²/r
where;
v is the linear speed of the merry go roundr is the radius of the merry go rounda is the centripetal acceleration of the merry go roundFrom the formula given above, as the radius of the merry go round increases, the centripetal acceleration of the merry go round decreases.
v = ωr
where;
v is the tangential speed or linear speed of the merry go roundr is the radius of the circular path from the edgeThus, when the radius of the circular path decreases, the speed of the merry go round will decrease as well.
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A 1000-kg car is moving at 27 m/s when it slams on the brakes and skids to a stop with a leftward acceleration
of 9 m/s/s.
The length of skidding marks will be of 46.49m
Explain what an acceleration is.Acceleration is the rate at which the direction and speed of motion change over time. It is said to have been accelerated when something changes its direction and moves faster or slower. Motion on a circle accelerates even when the speed is constant because the direction is constantly changing.
Acceleration is the term for the rate at which speed changes. Velocity is a vector quantity because it has both a magnitude and a direction component. Acceleration is also a vector quantity since it is simply the rate at which velocity changes.
Given m = 1000 kg
v = 27 m/s
µ = 0.80
we have a = µ g and v² - u² = 2as
then for s = u²/2gµ
s = 27²/2 X 9.8 X 0.8
s = 46.49 m
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Complete question is " A driver in a 1000 kg car traveling at 27 m/s slams on the brakes and skids to a stop. If the coefficient of friction between the tires and the horizontal road is 0.80, how long will the skid marks be?".
Suppose you are camping on a mountain and the air temperature is very cold. How would you keep warm? Would you build a fire or set up a tent?
with explenation..
Answer:
build a tentExplanation:
it provides warmth and protection
What is the acceleration of a 50 kg object pushed with a force of 200N?
Answer:
40 m/s
Explanation:
F = ma (force = mass * acceleration)
a = F/m
a = 200 N / 50 kg
a = 40 m/s