The Velocity of particle C = 2.0iˆ - 2.0jˆ - 4.0kˆ m/s.
Velocity of A with respect to C = Velocity of A with respect to B + Velocity of B with respect to C
Velocity of A with respect to B = 4.0kˆ m/s,
Velocity of B with respect to C = 2.0jˆ m/s
Therefore, Velocity of A with respect to C = 4.0kˆ m/s + 2.0jˆ m/s
Velocity of particle C = Velocity of particle A - Velocity of A with respect to C
Velocity of particle A = 2.0iˆ + 3.0jˆ m/s
Velocity of A with respect to C = 4.0kˆ m/s + 2.0jˆ m/s
Therefore, Velocity of particle C = 2.0iˆ - 2.0jˆ - 4.0kˆ m/s.
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List 3 ways that the asthenosphere is different from the lithosphere:
some people have suggested that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources. explain and defend or refute this statement.
This statement is partially true, but it is important to understand the context and implications. Electric vehicles do not produce tailpipe emissions, which means that they can reduce local air pollution in urban areas.
However, the generation of electricity to power these vehicles can still produce emissions at the point of generation, such as power plants.
The extent of this shift depends on the source of electricity generation in a given region. In areas with a high percentage of renewable energy sources, such as wind and solar, the emissions associated with electric vehicle use would be negligible. In areas that rely heavily on coal-fired power plants, the emissions associated with electric vehicle use could be significant.
It is important to note that even in areas with high emissions from electricity generation, electric vehicles still have benefits over traditional gasoline vehicles. This is because electric vehicles are more energy-efficient and produce fewer emissions overall, even when accounting for emissions from electricity generation.
In summary, while electric vehicles do shift the source of emissions from tailpipes to power plants, the overall reduction in emissions is still significant, especially in areas with a high percentage of renewable energy sources.
Therefore, the statement that electric vehicles only shift the emission of air pollutants from dispersed sources to point sources is not entirely accurate and does not fully capture the benefits of electric vehicles.
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A catapult is usedto fire an object into the air describe the energy transfers when the catapult is released and stretched
Explanation:
potential energy ===> kinetic energy
when an object is stretched there will be a stored energy in it enough to react to the upcoming change
that is the potential energy
similar to a stretched elastic band
kinetic energy is the energy on a moving object
*If a kinetic energy takes place there must gave been a potential energy before*
A catapult is used to fire an object into the air, the potential energy transfers as the elastic potential energy and to the kinetic energy when the catapult is released and stretched.
What is the energy conversion taken place in Catapult?The potential energy is associated with bodies that are above a reference point, at that reference point the value of potential energy is taken as zero. For example, if an object with a mass M is in a tower that is 140 meters high, its potential energy is defined as the product of the mass of the object by gravity and by the height at which the object is measured from the reference point.
Ep =mgh
When talking about elastic objects such as springs or elastic fibers, it is usually understood that there is an elastic potential energy associated with the constant of the spring. This can be calculated using the following equation:
U ela = 1/2×k×(Dx)²
where:
k = elastic constant of the elastic material [N/m]
Dx = distance stretched or compressed of the elastic material [m]
U = elastic energy [Joules]
So, there are difference between the elastic potential energy and the potential energy.
In a catapult, Initially, energy is stored in the form of potential energy which is later converted into kinetic energy. Potential energy can be stored in the form of elastic potential energy in the case of elastic. It suddenly releases the energy to propel the object into the air.
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A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7.5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 10 vehicles per day with a repair time distribution that approximates an exponential distribution. a. What is the utilization rate for this service system? b. What is the average time before the facility can return a breakdown to service? c. How much of that time is spent waiting for service? d. How many vehicles are likely to be in the system at any one time?
The Highway Department Garage has a crew of mechanics who repair vehicles that break down. The breakdowns occur at an average rate of 7.5 vehicles per day, and the mechanics can service an average of 10 vehicles per day.
This service system's utilization rate, average time for a breakdown to be repaired, waiting time for service, and the number of vehicles likely to be in the system at any given time need to be determined.
a. The utilization rate of a service system is the ratio of the arrival rate of customers to the service rate. In this case, the arrival rate is λ = 7.5 vehicles per day, and the service rate is μ = 10 vehicles per day. Therefore, the utilization rate can be calculated as λ/μ = 7.5/10 = 0.75 or 75%.
b. The average time before a breakdown can be repaired is given by the reciprocal of the service rate, which is 1/μ = 1/10 = 0.1 days or 2.4 hours.
c. To determine the time spent waiting for service, we need to calculate the average time a vehicle spends in the system. This can be obtained using Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.
As the system is in equilibrium, the average number of vehicles in the system is equal to the average number of vehicles being serviced. Therefore, the average time spent waiting for service can be calculated as (average number of vehicles in the system) / λ = (λ/μ) / λ = 0.75 / 7.5 = 0.1 days or 2.4 hours.
d. The average number of vehicles in the system at any one time can be calculated using Little's Law as λ * average time spent in the system = 7.5 * 0.1 = 0.75 vehicles.
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A ball is released from the bottom of an elevator which is travelling upward with a velocity of 6 ft/s. If the ball strikes the bottom of the elevator shaft in 3 s. Determine the height of the elevator from the bottom of the shaft at the instant the ball is released
Explanation:
df = do + vot + 1/2 at ^2 do = what you are looking for df = ground = 0
0 = do + 6 (3 ) + 1/2 ( -9.81) (3^2)
do = 26.1 m
HELP PLEASE ASAP!!!
How many moles are in 7.60g of water, H₂O?
Answer: 24
Explanation: because my brain said..
Most asteroids orbit the Sun between:
A.
Mercury and Venus.
B.
Mars and Jupiter.
C.
Neptune and Pluto.
D.
Saturn and Uranus.
Answer:
mars and jupiterrr
Explanation:
ty for all ur help love u
What is the area under the curve for the histogram below?
A. 179
B. 121
C. 194
D. 86
Answer:
it's 194
Explanation:
you have to add up every value of people through each hour of the day.
The correct option is (c) 194.
How do you describe a histogram?A histogram is a graph that shows the distribution of the values of a numeric variable as a series of bars. Each bar usually covers a range of numbers called bins or classes. The height of the bar indicates the frequency of data points that have values in that bin. What is the histogram used for? Histogram is a popular graphic tool. It is used to summarize discrete or continuous data measured on an interval scale. It is often used to explain the main function of data distribution in a practical way.
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A 2.00kg block is attached to a horizontal ideal spring with a spring constant k=100Nm. The block-spring system is set on a horizontal surface with negligible friction. A graph of the potential energy U as a function of time t for this system is shown. The maximum displacement xMAX of the block from its equilibrium position and the maximum speed vmax of the block during the motion represented by the graph are most nearly
We have that for the Question, it can be said that the maximum velocity is
\(V_m = 1.414m/s\)
From the question we are told
A 2.00kg block is attached to a horizontal ideal spring with a spring constant k=100Nm.
The block-spring system is set on a horizontal surface with negligible friction.
Generally the equation for the Potential energy is mathematically given as
\(P.E=\frac{1}{2}Rx_m^2\\\\2=\frax{1}{2}*100x_m^2\\\\x_m^2 = 0.04m\\\\x_m = 0.2m\)
The PE is converted to KE, Therefore
\(KE = 2\\\\\frac{1}{2}MV_m^2 = 2\\\\V_m^2 = \frac{4}{M}\\\\V_m^2 = \frac{4}{2}\\\\V_m = \sqrt{2}\\\\V_m = 1.414m/s\)
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Complete Question
A 2.00 kg block is attached to a horizontal ideal spring with a spring constant k = 100 N The block-spring system is set on a horizontal surface with negligible friction. A graph of the potential energy U as a function of time t for this system is shown. The maximum displacement IMAX of the block from its equilibrium position and the maximum speed Umat of the block during the motion represented by the graph are most nearly A IMAX = 2.0 m and UMAX 1.4" B UMAX = 1.4 and UMAX=0.20" с MAX 0.20 m and UMAX = 1.4" D IMAX 0.40 m and UMAX 1.4 E IMAX 0.04 m and UMAX 2.0"
what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?
The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.
Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.
Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.
Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.
Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.
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PLEASE HELP ASAP (NO LINKS)
Answer:
C,C
Explanation:
1. I think the lens is a polarizer, so, during its rotation, the amount of light that passes through is reduced.
2. f=v/lambda
The speed is same.
lambda2 = (f1 / f2) * lambda
Lambda2 = ( 6.7 * 10^14 / 3.35 * 10^14 ) * 450nm = 900nm
What factors do Presidents consider when choosing a Supreme Court Justice?
Answer:
Presidents use the same criteria: legal expertise, party affiliation, philosophy, an da sense of the acceptability to the Senate. Define majority opinion, concurring opinion, and dissenting opinion.
Explanation:
Find the force required to do 25 joule work when the force causes a displacement of 0.5m
Answer: Force required to 25 joule work when the force causes a displacement of 0.5m is 50N
Explanation: To calculate the work done we use the formula
W=F.s (1)
W= work done
F= force applied s= displacement
Given, work done W= 25 joules= 25 J
displacement s= 0.5m
∴From equation (1) we get the force required when work is done and displacement is given, that is
F\(=\frac{W}{s}\) (2)
∴Force required \(F=\frac{W}{s}= \frac{25J}{0.5m}=50N\)
(1 J is the work done by a force of 1 N acting over a displacement of 1 m and so 1 J= 1 Nm⇒ 1 N = 1 J/m)
ANS: Force required to do 25 J work when a force causes displacement of 0.5m = 50 N
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what is its average acceleration in multiples of g?
Finding acceleration in terms of "g" means expressing the acceleration value relative to the acceleration due to gravity (g), which is approximately 9.8 meters per second squared.
When we express acceleration in terms of "g," we are comparing it to the acceleration experienced by an object due to gravity. This comparison allows us to understand the magnitude of the acceleration relative to the force of gravity acting on the object.
For example, if the acceleration of an object is equal to the acceleration due to gravity (g), we say that the object is experiencing "1g" of acceleration. This indicates that the object is accelerating at the same rate as if it were in free fall under the influence of gravity alone.
If the acceleration is expressed as 2g, it means that the object is accelerating at twice the rate of gravity. Similarly, if the acceleration is expressed as 0.5g, it means the object is experiencing half the acceleration due to gravity.
By using "g" as a reference point, we can compare accelerations across different scenarios or objects and understand their relative strength or magnitude in relation to the force of gravity. It provides a convenient way to quantify and communicate acceleration values.
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As debris flows travel down valleys, ___________ causes ____________ clasts to be concentrated at the flow front.
granular segregation; fine-grained
surface tension; angular
buoyancy; well-rounded
none of these
granular segregation; coarse-grained
The correct answer is granular segregation; coarse-grained.
Granular segregation is the process by which particles of different sizes and densities are sorted within a flowing mixture. In the case of debris flows, the coarsest particles, such as boulders and cobbles, tend to be concentrated at the flow front, while the finest particles, such as sand and silt, are carried along in the flow. This is because the coarser particles have more inertia and are less likely to be suspended in the flow. The process of granular segregation is important because it can have a significant impact on the destructive power of debris flows. Debris flows that are concentrated with coarse particles can cause more damage to structures and infrastructure than debris flows that are composed of finer particles. In addition to granular segregation, other factors that can affect the distribution of clasts in debris flows include the slope of the valley, the amount of water in the flow, and the viscosity of the flow.
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Question 1(Multiple Choice Worth 2 points)
(07.02 LC)
A photon is
O a type of wave
O a form of kinetic energy
O a quantum of light
O an electrostatic force
A photon is a quantum of light is the correct answer.
What is photon?A photon is tiny packets of energy of electromagnetic radiation. This concept is presented by Albert Einstein in order to explain the photoelectric effect. Photon is also known as light quantum because it is related to light.
So we can conclude that photon is a quantum of light is the correct answer.
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Answer:
a quantum of light
Explanation:
I got it right on the test.
A physicist observes that a cannonball shot horizontally from a cannon travels 1.000 m before falling to the ground. Which of the following statements correctly explains this observation using Newton's laws?
O Objects tend to remain in the state of motion they are in unless acted upon by an unbalanced force. Friction and gravity acted on the cannonball, slowing it down and slamming it into the ground
O Objects at rest tend to remain in their cument state of motion unless acted upon by an unbalanced force, but objects in motion require a continual application of force to stay in motion
The force on the cannonball produced by the cannon was less than the force of friction on the cannonball, causing the cannonball to slow down and fall to the ground.
O The force on the cannonball produced by the cannon exactly equaled the force of friction on the cannonball, balancing the forces and causing it to fall to the ground.
The correct statement that explains the observation using Newton's laws is objects at rest tend to remain in their current state of motion unless acted upon by an unbalanced force, but objects in motion require a continual application of force to stay in motion. Here option A is correct.
According to Newton's first law of motion, an object will continue moving at a constant velocity in a straight line unless acted upon by an external force. In this case, when the cannonball is shot horizontally from the cannon, it initially possesses a forward velocity due to the force applied by the cannon. However, once the cannonball is in motion, the only forces acting on it are gravity and friction.
Gravity acts vertically downward, causing the cannonball to accelerate downward. Friction acts horizontally in the opposite direction to the motion of the cannonball. As the cannonball moves forward, friction opposes its motion and gradually slows it down.
Since there is no force continuously propelling the cannonball forward, and the forces of friction and gravity act on it, the cannonball eventually comes to a stop and falls to the ground. Hence option A is correct.
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The work output of a machine is
80 Joules, and its work output is
120 Joules. What is the efficiency of the machine?
To calculate the efficiency of a machine, divide the work output by the work input and multiply the result by 100%.
Correct question:
The work output of a machine is 80 Joules, and its work input is 120 Joules. What is the efficiency of the machine?
Given DataWork output = 80 Joules
Work input = 120 Joules.
Efficiency = Working output/Work input *100
Efficiency = 80/120 *100
Efficiency = 0.67 *100
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The amount of voltage produced by an individual _____ is determined by the materials from which it is made.
The amount of voltage produced by an individual cell is determined by the
materials from which it is made.
What is Voltage?Voltage is regarded as a form of pressure or push which ensures charges
are moved from one point to another.
The voltage produced is dependent on the materials of the cell from
which it is made.This is as a result of the cell components being a sole
determinant on how a cell functions.
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A bowling ball with a mass of 8kg strikes a pin that is at rest and has a mass of 2. The pin flies forward with a velocity of 8m/s and the ball continues forward at 2 m/s. What was the original velocity of the ball?
The required original velocity of the bowling ball is calculated to be 6 m/s.
The total momentum prior to and following a collision are identical in a closed system.
From the principle of conservation of momentum,
M × U + m × u = M × V + m × v ----(1)
Where,
M = Mass of the bowling ball (M = 8 kg)
m = Mass of the pin (m = 2 kg)
U = Initially, the bowling ball's speed
u = Initial velocity of the pin (u = 0 m/s)
V = Final velocity of the bowling ball (V = 2 m/s)
v = Final velocity of the pin (v = 8 m/s)
Substitute these values in (1) and to solve U:
8(U)+2(0) = 8(4)+2(8)
8U = 32 + 16
8U = 48
U = 6 m/s
Thus, the initial velocity of the bowling ball is calculated to be 6 m/s.
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After t seconds the displacement, s(t), of a particle moving rightwards along the x-axis is given (in feet) by s(t) = 5t^2 − 7t + 2 . Determine the average velocity of the particle over the time interval [1, 2]. 1. average vel. = 6 ft/sec 2. average vel. = 5 ft/sec 3. average vel. = 8 ft/sec 4. average vel. = 7 ft/sec 5. average vel. = 4 ft/sec
the average velocity is given by the change in displacement divided by the change in time: average velocity = (change in displacement) / (change in time) = 8 ft / 1 sec = 8 ft/sec.
To determine the average velocity of the particle over the time interval [1, 2], we need to find the change in displacement and divide it by the change in time.
Given that the displacement function is s(t) = 5t^2 - 7t + 2, we can find the displacement at the endpoints of the interval:
s(1) = 5(1)^2 - 7(1) + 2 = 5 - 7 + 2 = 0
s(2) = 5(2)^2 - 7(2) + 2 = 20 - 14 + 2 = 8
The change in displacement is s(2) - s(1) = 8 - 0 = 8 feet.
The change in time is 2 - 1 = 1 second.
Therefore, the average velocity is given by the change in displacement divided by the change in time:
average velocity = (change in displacement) / (change in time) = 8 ft / 1 sec = 8 ft/sec.
Therefore, the correct answer is 3. average vel. = 8 ft/sec.
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(a) Write down the Bernoulli's Equation and continuity Equation for a pipe flow and define each term in the equation. (b) The closed tank of a fire engine is partly filled with water, the air space above being under pressure. A 6 cm bore connected to the tank discharges on the roof of a building 2.5 m above the level of water in the tank. The friction losses are of 45 cm of water. Determine the air pressure which must be maintained in the tank to deliver 20 litres/sec on the roof.
Answer:
A) \(\frac{P}{p} + \frac{1}{2} v^2 + gh = k\\\)
B ) 53.9 kN/m^2
Explanation:
a) Bernoulli's equation and continuity equation for a pipe flow
\(\frac{P}{p} + \frac{1}{2} v^2 + gh = k\)
\(\frac{P}{p}\) = pressure head
\(\frac{1}{2}v^2\) = velocity head
gh = potential head
k = constant
p = density
b) determine the air pressure that must be maintained
Given data :
Discharge rate( R ) = 20 liters/sec ≈ 0.02 m^3
Bore diameter ( d ) = 0.06 m
first we calculate the velocity in the 6 cm bore
v = \(\frac{R }{\frac{\pi }{4} *d^2}\) ------- (2)
R = 0.02
d = 0.06
insert the given values into equation 2
V = 7.07 m/s
next we apply the Bernoulli's equation by rewriting it as follows
\(\frac{P}{pg} + \frac{1}{2g} v^2 + h = k\)
\(\frac{1}{2g}v^2\) ( velocity head ) = \(\frac{7.07^2}{2*9.81}\) = 2.55
next we will apply the use of energy conservation law on the surface of water in tank and that on the roof :
Note : H1(frictional head loss ) = 45cm = 0.45 m , g = 9.81
applying the energy conservation law
\(\frac{P1}{pg} + \frac{1}{2g} v_{1} ^2 + h1 =\) \(\frac{P2}{pg} + \frac{1}{2g} v_{2} ^2 + h2\)
\(\frac{P1}{pg}\) = 0 + 2.55 + 2.5 + 0.45
therefore ; P1 = 9.81 * 5.55 = 53.9 kN/m^2
What is the angular momentum of the moon around the earth? the moon’s mass is 7.4 * 1022 kg and it orbits 3.8 * 108 m from the earth.
The angular momentum of the moon around the earth is 2.92 * \(10^{34}\) kg \(m^{2}\)/s
Angular momentum a vector quantity that is a measure of the rotational momentum of a rotating body or system, that is equal in classical physics to the product of the angular velocity of the body or system and its moment of inertia with respect to the rotation axis, and that is directed along the rotation axis.
m (mass of moon ) = 7.4 * \(10^{22}\) kg
orbit = 3.8 * \(10^{8}\) m
L = I ω
= m \(r^{2}\)ω
= 7.4 * \(10^{22}\) * \((3.8 *10^{8} )^{2}\) * (2π / 27 * 24 * 3600)
= 2.92 * \(10^{34}\) kg \(m^{2}\)/s
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PLEASE SOMEONE HELP ME THIS IS DUE AT 11:59 pm PLEASE AT CHINA TIME
If energy creates heat, how does an air conditioning unit use energy to cool?
Explanation:
The liquid refrigerant evaporates in the indoor evaporator coil, pulling heat out of indoor air and cooling your home. The hot refrigerant gas is pumped outdoors into the condenser where it reverts back to a liquid, giving up its heat to the outside air flowing over the condenser's metal tubing and fins.
A sound wave has a speed of 342 m/s and a wavelength of 2.15 meters. What is the frequency of this wave?
A. 159 hertz
B. 127 hertz
C. 239 hertz
D. 278 hertz
The frequency of this sound wave is 159 hertz. Hence, correct answer is option A.
Type of mechanical wave that propagates through a medium, such as air, water, or solids, as vibrations is called sound wave and they are produced when object vibrates, creating disturbances in the surrounding medium. These disturbances cause the particles of the medium to oscillate back and forth and transmitting energy from the source of the sound to surrounding areas.
The formula to calculate the frequency of a sound wave is: frequency = speed of sound/wavelength. In this case, the speed of the sound wave is given as 342 m/s and the wavelength is given as 2.15 meters. So, the frequency can be calculated as:
frequency = 342 m/s / 2.15 meters
frequency = 159.07 hertz
Therefore, the correct answer is A. 159 hertz.
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shows a 100-turn coil of wire of radius 19 cm in a 0.25 T magnetic field. The coil is rotated 90∘ in 0.30 s, ending up parallel to the field. What is the average emf induced in the coil as it rotates?
To calculate the average electromotive force (emf) induced in the coil as it rotates, we can use Faraday's law of electromagnetic induction:
emf = -N * ΔΦ / Δt
Where:
- emf is the electromotive force (in volts),
- N is the number of turns in the coil,
- ΔΦ is the change in magnetic flux,
- Δt is the change in time.
In this case, the coil has 100 turns (N = 100), and it is rotated by 90 degrees in 0.30 seconds. The magnetic field is given as 0.25 T.
The change in magnetic flux (ΔΦ) can be calculated by multiplying the magnetic field (B) by the area (A) of the coil:
ΔΦ = B * A
The area of the coil is given by:
A = π * r^2
where r is the radius of the coil.
Substituting the given values:
A = π * (0.19 m)^2
Now we can calculate the change in magnetic flux:
ΔΦ = (0.25 T) * π * (0.19 m)^2
Next, we can substitute the values into the emf formula:
emf = -100 * [(0.25 T) * π * (0.19 m)^2] / (0.30 s)
Calculating this expression will give us the average emf induced in the coil as it rotates.
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A net force of 30 N is applied to an object, causing it to accelerate at 20m/s^2. What is the mass of the object?
Answer:
mass of that object is = 30 × 29 = 870N
Vul de ontbrekende gegevens in. afstand tijd gemiddelde snelheid 45 km 45 minuten km/h 4,5 km 80 minuten m/s 200 m s 9,0 m/s km 2 uur 85 km/h 20 km minuten 90 km/h
Antwoord:
60 km / uur; 0,9375 m / s; 22.222; 170 km; 13.333 minuten
Uitleg:
Gegeven:
Afstand ___ tijd ___ gemiddelde snelheid
45 km __45 minuten ___ km / u
4,5 km __80 minuten __m / s
200 m ___s ________ 9,0 m / s
km ____2 uur ______85 km / u
20 km_ minuten ___90 km / u
De relatie gebruiken:
Gemiddelde snelheid (s) = afstand (d) / tijd (t)
A.)
d = 45 km; t = 45 minuten = 45/60 = 0,75 uur
s = 45 / 0,75
s = 60 km / uur
B.)
d = 4,5 km = (4,5 * 1000) = 4500 m
t = 80 * 60 = 4800 s
s = 4500/4800 = 0,9375 m / s
C.)
d = 200 m; s = 9 m / s
t = 200/9 = 22,222 s
D.)
d = s * t
d = 85 * 2 = 170 km
E.)
t = d / s
t = 20/90
t = 0,22222 uur = 13,333 minuten
How do the solar system models of ptolemy and copernicus differ? question 3 options: ptolemy's model had the sun and other planets orbiting the earth and copernicus' model had the earth and the other planets orbiting the sun. ptolemy's model had the earth and other planets orbiting the sun and copernicus' model had the sun and the other planets orbiting the earth. ptolemy's model had the earth and other planets orbiting the sun in elliptical orbits while copernicus' model had the earth and the other planets orbiting the sun in circular orbits.
The main difference between Ptolemy's and Copernicus' solar system models is that Ptolemy's model placed the Earth at the center with the Sun and planets orbiting around it, while Copernicus' model positioned the Sun at the center with the Earth and other planets orbiting around it.
Ptolemy's model, known as the geocentric model, proposed that the Earth was at the center of the universe, and all celestial bodies, including the Sun and planets, revolved around it in circular orbits. This model was based on observations and was widely accepted for many centuries. However, in Ptolemy's model, to account for the apparent retrograde motion of the planets, complicated systems of epicycles and deferents were introduced.
In contrast, Copernicus' model, known as the heliocentric model, challenged the geocentric view by placing the Sun at the center of the solar system. According to Copernicus, the Earth and the other planets orbited around the Sun in circular orbits. This simplified the explanation of planetary motion and eliminated the need for complex systems of epicycles and deferents.
Copernicus' heliocentric model gained support with advancements in observational technology and mathematical calculations. It provided a more accurate explanation of celestial phenomena, such as the retrograde motion of the planets, and laid the foundation for our modern understanding of the solar system.
The key distinction between Ptolemy's and Copernicus' models is the placement of the Earth and the Sun in their respective centers, with Ptolemy's model favoring a geocentric perspective and Copernicus' model proposing a heliocentric view.
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1. A vehicle of mass 1500 kg braked to a standstill from a
velocity of 24 m/s in 12 s.
i. Show that the deceleration of the vehicle was 2.0 m/s2.
ii. Calculate the resultant force on the vehicle.
Explanation:
i. Vi=24
Vf=0
t= -2
a=vf-vi/t =0-24/12 = -2m/S2
ii. F=ma = 1500×-2= -3000 N