A simple arrangement by means of which EMF are compared is known as a voltmeter.
Discussion about Voltmeter :
A voltmeter is a straightforward device used to compare electromagnetic fields.When there is no current flowing through a cell, its terminal voltage equals its electromotive force (emf). The difference in potential between a cell's electrodes is what determines its terminal voltage. Since voltmeters use the cell's current to draw voltage, they are unable to measure a cell's emf.Using a voltmeter, one may determine the voltage generated in an electric circuit. Volts are the emf's SI unit (V). Volts are the voltage's SI unit (V). Non-coulomb force, also known as non-electric force operation, defines emf.Learn more about voltmeter here:
https://brainly.com/question/8505839
#SPJ1
how to calculate the half time
The formular for calculating half life is:
T1/2=0.693/Π
How much heat is required to raise the temperature of 0.210 g of water from 19.2 ∘C to 32.0 ∘C?
Data:
m = 0.210 g T₀ = 19.2 °C + 273 = 292. 2 KT = 32.0 °C + 273 = 305 KCe = 4.18 J / GKWe apply the following formula
Q = mcₑΔT
Q = mcₑ (T - T₀)
We substitute Our data in the formula and solve:
Q = 0.210 g * 4.18 J / g K (305 k - 292.2 k)
Q = 11.23 J
Which one of the following statements concerning weight and energy balance is most accurate?
A. People generally need the same amount of physical activity to maintain weight stability.
B. Regular physical activity doesn’t impact the percentage of body fat in children and adolescents.
C. It’s possible to achieve weight stability by doing the equivalent of 60–120 minutes a week of moderate-intensity walking.
D. The optimal amount of physical activity needed to maintain weight is unclear.
Answer: D. I took the test and got it right
The correct answer choice concerning weight and energy balance which is most accurate is the optimal amount of physical activity needed to maintain weight is unclear.
What is energy balance?Energy balance refers to the way in balance is achieved when intake of energy is equal to energy expended.
Energy refers to the impetus behind all motion and all activity. If is also the capacity to do work. Energy is measured in a unit dimensioned in mass × distance²/time² (ML²/T²) or the equivalent.
So therefore, the correct answer choice concerning weight and energy balance which is most accurate is the optimal amount of physical activity needed to maintain weight is unclear.
Learn more about energy balance:
https://brainly.com/question/26103866
#SPJ1
Assume that a car with a full tank of gasoline is closed system. Which two pieces of evidence support the conclusion that the total amount of energy in a close system remains the same? The car's engine makes sounds as it runs. The car's engine gets hot as it burns gasoline. The car remains full of gasoline if its engine stays off. The car uses more gasoline as it goes faster.
The two evidence are the car's engine gets hot as it burns gasoline are the car remains full of gasoline if its engine stays off.
Which two pieces of evidence support the conclusion that the total amount of energy in a close system remains the same?The car's engine gets hot as it burns gasoline and the car remains full of gasoline if its engine stays off are the two pieces of evidence support the conclusion that the total amount of energy in a close system remains the same because when the gasoline burns, the engine gets hotter and when the car remains full of gasoline if its engine stays off which means no energy leaves the system.
So we can conclude that The two evidence are the car's engine gets hot as it burns gasoline are the car remains full of gasoline if its engine stays off.
Learn more about energy here: https://brainly.com/question/13881533
#SPJ1
h) Find the inverse Laplace transforms of the equation. When the X(s) =1 /(s²+9s+20)
Answer:
e^-4t e^-5t
Explanation:
solving s²+9s+20 quadratically we have (s+4)(s+5)
x(s) can be written as x(s) =(1/s+4)(1/s+5)
if we take the laplace inversve
L-¹ (s)=L-1(1/s+4) L-1(1/s+5)
we have e^-4t e^-5t
A 750 kg car is stalled on an icy road during a snowstorm. A 1000 kg car traveling eastbound at 13 m/s collides with the rear of the stalled car. After being hit, the 750 kg car slides on the ice at 4 m/s in a direction 30 ∘ north of east.
A) What is the magnitude of the velocity of the 1000 kg car after the collision?
B) What is the direction of the velocity of the 1000 kg car after the collision?
C) Calculate the ratio of the kinetic energy of the two cars just after the collision to that just before the collision. (You may ignore the effects of friction during the collision.)
(a) The magnitude of the velocity of the 1000 kg car after the collision is 10.5 m/s.
(b) The direction of the velocity of the 1000 kg car after the collision is 8.2 ⁰ north west.
(c) The ratio of the kinetic energy of the two cars just after the collision to that just before the collision is 0.72.
Velocity of the 1000 kg after the collisionApply the principle of conservation of linear momentum as follows;
Final velocity in x directionm₁u₁ + m₂u₂ = m₁v₁x + m₂v₂x
where;
m₁ is mass of 750 kg caru₁ is initial velocity of 750 kg massm₂ is mass of 1000 kg caru₂ is initial velocity of 1000 kg massv₁ is final velocity of 750 kg massv₂ is final velocity of 1000 kg mass750(0) + 1000(13) = 750(4 cos 30) + 1000v₂x
13000 = 2,598.1 + 1000v₂x
10,401.9 = 1000v₂x
v₂x = 10.4 m/s
Final velocity in y directionm₁u₁ + m₂u₂ = m₁v₁y + m₂v₂y
750(0) + 1000(0) = 750(4 sin 30) + 1000v₂y
0 = 1500 + 1000v₂y
v₂y = -1500/1000
v₂y = -1.5 m/s
Resultant final velocityv = √(v₂ₓ² + v₂y²)
v = √[(10.4)² + (-1.5)²]
v = 10.5 m/s
Direction of the final velocity of 1000 kg cartanθ = v₂y/v₂ₓ
tanθ = -1.5/10.4
tanθ = -0.144
θ = arc tan(-0.144)
θ = 8.2 ⁰ north west
Kinetic energy of the cars before the collisionK.Ei = 0.5m₁u₁² + 0.5m₂u₂²
K.Ei = 0.5(750)(0)² + 0.5(1000)(13)²
K.Ei = 84,500 J
Kinetic energy of the cars after the collisionK.Ef = 0.5(750)(4)² + 0.5(1000)(10.5)²
K.Ef = 61,125 J
Ratio of the kinetic energyK.Ef/K.Ei = 61,125/84,500
K.Ef/K.Ei = 0.72
Thus, the magnitude of the velocity of the 1000 kg car after the collision is 10.5 m/s.
The direction of the velocity of the 1000 kg car after the collision is 8.2 ⁰ north west.
The ratio of the kinetic energy of the two cars just after the collision to that just before the collision is 0.72.
Learn more about kinetic energy here: https://brainly.com/question/25959744
#SPJ1
the highest theoretical efficiency of a certain engine is 30% if the engine uses the atmosphere which has a temperature of 300k as its cold reservoir what is temperature of its hot reservoir
The temperature of its hot reservoir would be = 210k
Calculation of reservoir temperatureThe highest theoretical engine efficiency (η)= 30% =0.3
The temperature of the engine cold reservoir (T1)= 300k
Therefore the temperature of the engine hot reservoir (T2) = ?
Using this formula:
η=1- T2/T1
Make T2 the subject formula:
T2= T1 (1 - η)
T2 = 300 ( 1-0.3)
T2 = 300 × 0.7
T2 = 210k
Therefore, the temperature of its hot reservoir would be = 210K.
Learn more about temperature here:
https://brainly.com/question/25677592
#SPJ1
[tex] \large{\rm{Question:}}[/tex]
Give one example where the displacement is zero but the distance traveled is not zero.
Let us assume a man travelled from a point A to a point B over a distance 'd'. After a while he travels the same distance back to point A.
Therefore, since his initial and final positions are the same, displacement is equal to zero, and the distance travelled is (d + d) = 2d, which is not zero.
Example:
Imagine a person walks 10 meters forward and then turns around and walks 10 meters back to the starting point. In this case, the displacement is zero (starting point to ending point), but the distance traveled is 20 meters (10 meters forward + 10 meters backward).
Most towns use a water tower to store water and provide pressure in the pipes that deliver water to customers. The figure below shows a spherical water tank that holds 5.80 105 kg of water when full. Note that the tank is vented to the atmosphere at the top and that the pipe delivering water to customer Smith is a height h = 3.75 m above the level of the pipe delivering water to customer Jones. Determine the gauge pressure of the water at the faucet of each house when the tank if full.
There is a spherical water-filled chamber with a vent on top and underneath it is a pipe 18 m long that leads down to the ground. At ground level a horizontal pipe connects the faucet in the Jones house to the water supply. The faucet in the Smith house is connected to the water supply with a pipe at a height h above ground level.
(a) Jones house
Pa
(b) Smith house
Pa
The effective height of the water for Smith's house will be 24.61m.
How to calculate the height?Based on the information given, the volume of the water in sphere will be:
= 4/3πr³ = (5.80 × 10^5)/1000
= 4.18r³ = 580
r³ = 138.7
r = 5.18m
The effective height of the water will be:
= 18.0 + 2(5.18)
= 28.36
The gauge pressure at Faucet of Jones house will be:
= pgh
= 1000(9.8)(28.36)
= 277.9kPa
The effective height of the water for Smith's house will be:
= 18.0 + 2(5.18) - 3.75
= 24.61m
The gauge pressure at Faucet of Jones house will be:
= 1000 × 9.8 × 24.61
= 241.2kPa
Learn more about height on:
brainly.com/question/983412
#SPJ1
When the current through a circular loop is 5.7 A, the magnetic field at its center is 3.9 ✕ 10−4 T. What is the radius (in m) of the loop?
Radius of the circular loop is 0.0091m.
What is magnetic field?Magnetic field is the area around a magnet where the magnetism influence is felt .
What is the magnetic field at the centre of a circular loop?The formula for magnetic field at the centre of a loop isB =(μ)I/2r
where B= Magnetic field at the centre of a circular loopμ= Magnetic permeability =4(π)*10^(-7)
I= current flowing through the loop
r= radius of the loop
Thus, radius of the loop =(4(π)×10^(-7)×5.7)/(2×3.9×10^(-4))=0.0091m
Thus, we can conclude that the radius of the loop is 0.0091m .
Learn more about magnetic field here :
brainly.com/question/24761394
#SPJ1
A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of ρ0 is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases.
The new sphere has a density of ρ > ρ0 and a mass of m = m0.
The new sphere has a mass of m > m0 and a radius of r = r0.
The new sphere has a radius of r = r0 and a density of ρ > ρ0.
Based on the given data about, volume, mass, and density of the spheres;
the water level will fall; fthe water level may rise or fall; r or fthe water level will rise; rWhat determines whether an object floats are sinks in water?The density, mass, volume, and shape of an object determines whether it will float or sink in water.
Density = mass/volumeFor an object to float, it will displace its own weight of the fluid in which it floats. This is according to Archimedes' principle which states that the upward force acting on a body immersed fully or partially in a fluid, is equal to the weight of the fluid displaced.
Considering the given scenarios:
1. The new sphere has a density of ρ > ρ0 and a mass of m = m0.
This means that the volume of new sphere is smaller than the volume of the original sphere, therefore, the water level will fall,
2. The new sphere has a mass of m > m0 and a radius of r = r0.
This means that the new sphere will have a greater volume and mass. However, the density may be greater or less.. Therefore, the water level may rise or fall.
3. The new sphere has a radius of r = r0 and a density of ρ > ρ0.
The new sphere has equal volume, greater density and mass than the original sphere. Therefore, the water level will rise.
In conclusion, the level of the water in the container depends on the volume, mass and density of the object placed in it.
Learn more about Archimedes principle at: https://brainly.com/question/787619
#SPJ1
what does personal mission statement?
Answer:
A personal mission statement defines who you are as a person (or as a team member where you work) and identifies your purpose, whether that's in the office or simply in life.
Explanation:
It explains how you aim to pursue that purpose, and why it matters so much to you.
Your car rides on springs, so it will have a natural frequency of oscillation. (Figure 1) shows data for the amplitude of motion of a car driven at different frequencies. The car is driven at 29 mph over a washboard road with bumps spaced 12 feet apart; the resulting ride is quite bouncy.
1)Determine the frequency of the oscillation, caused by the bumps. 1 mile is 5280 feet.
2)Should the driver speed up or slow down for a smoother ride?
Answer:
See below
Explanation:
29 mile/hr * 5280 f/mile / 3600 s/hr = 42.53 ft/ sec
42.53 ft / sec / 12 feet = 3.54 cycles / sec = 3.54 Hz
for frequency I suppose....where is the referred to figure?
Why do batteries discharge more quickly in cold weather?
give me answer
who will give me answer in easy language i will give him 5 star ⭐⭐⭐
Answer:
lowering the ambient temperature causes chemical reaction to proceed more slowly,so a battery used in a low temperature produces less current than that at high temperature . As cold batteries run down they quickly reach the point where they cannot deliver enough current to keep up the demand.. hence discharge more quickly in cold weather..
A container with 3 kg of pure water at a temperature of 12 degrees Celsius is placed in a refrigerator where the air temperature is kept at 4 degrees Celsius. how much heat (in joules) is gained by the air when the water cools to 4 degrees Celsius?
Answer:
100 368 J
Explanation:
Heat lost by the water = heat gained by the air ( which the 'frige works to expel and keep at 4 degrees)
specific heat for water ( in joules) : 4182 J / kg-C
3 kg * 4182 J / kg-C * (12-4 C) = 100 368 J
A cell connected to two bulbs in series lasts longer than a cell connected to the same bulbs in parallel.Explain why?
Because the voltage stays the same while the amps grow, parallel batteries last longer. It will still be a 12 volt system if you connect two 12v 50ah batteries in parallel, but because the amps quadruple to 100ah, the batteries will last longer. Charges are spread among the bulbs in a parallel circuit because they are flowing in several directions over multiple paths. As a result, each bulb will have less charge since the charge is travelling in multiple directions, and the lights will shine less brightly. On the other hand, in a series circuit, there is only one channel and only one location for the charge to travel, meaning that all of the charge is directed at a single lightbulb. As a result, the lightbulb will shine more brilliantly since there is no need to spread the energy. The rule of conservation of energy is not broken because of the difference in power; instead, smaller resistance causes bigger current, which results in brighter lights. The energy traveling from the source to the bulbs remains constant. Because higher power means that more energy in a given time goes quicker from the source to the bulb, brighter lights require more power rather than energy. Because the energy traveling from the source to the bulbs remains constant, the rule of conservation of energy is not being broken; rather, there is merely a difference in power as a result of smaller resistance leading to bigger current, which will result in brighter lights. This means that brighter lights require more power rather than energy since higher power enables more energy to go from the source to the bulb more quickly.
Thank you,
Eddie
What phase of matter is pictured below? Image of particles that are spread out, many are not touching, high energy. A. Gas B. Bose-Einstein condensate C. Fermionic condensate D. Plasma
Option(d)i.e, Plasma is the Image of particles that are spread out, many are not touching, high energy.
Along with solid, liquid, and gas, plasma is frequently referred to as the "fourth state of matter." Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).
Plasmas are less dense than solids or liquids and, like gases, have no set structure or volume. However, in contrast to regular gases, plasmas are composed of atoms in which part or all of the electrons have been removed and positively charged nuclei, known as ions, are free to move around.
Solids, liquids, gases, ionized plasma, quark-gluon plasma, bose-einstein condensate, and fermionic condensate are the seven states of matter.
To know more about plasma refer to: https://brainly.com/question/12847806
#SPJ1
A directional loudspeaker aims a sound wave of Frequency 200 H₂ at wall. At what distance from the wall would you stand and hear no sound at all? (v= 332 m/s).
The distance from the wall you would stand and hear no sound at all is 0.83 m.
What is speed of wave?The speed of a wave is the rate of change of distance traveled by a wave with time.
Distance of the waveThe distance at which the wave will have zero amplitude, there will be no sound at all since amplitude of a sound is proportional to intensity of the sound.
The point of zero amplitude, L = λ/₂
Where;
λ is wavelength of the wave
The wavelength of the wave is calculated as follows;
λ = V/f
where;
V is speed of sound wavef is frequency of the waveλ = 332/200
λ = 1.66 m
Distance from the wall a zero soundL = 1.66/2
L = 0.83 m
Thus, the distance from the wall you would stand and hear no sound at all is 0.83 m.
Learn more about sound waves here: https://brainly.com/question/16093793
#SPJ1
You are writing a short report to a familiar audience and plan to use an informal
writing style. What can you do to make your writing informal?
Use contractions such as won't, it's, let's, and we're.
Include second-person pronouns such as you.
Use passive-voice verbs.
Incorporate longer sentences.
The thing that the presenter can do to make the presentation to appear informal is to use contractions such as won't, it's, let's, and we're.
What is a report?The term report refers to any formal presentation. It is usually made as part of an academic course or as part of professional development. It could be given while a person is hoping for promotion at a job that he or she is doing.
We have to bear in mind that the audience to whom the report is being presented is a familiar audience hence the presentation can be quite informal and devoid of the formality of presentation of reports as we know it to be.
Now, the focus is to make the presentation to look informal. The thing that the presenter can do to make the presentation to appear informal is to use contractions such as won't, it's, let's, and we're.
Learn more about a report:https://brainly.com/question/14969693
#SPJ1
the earth orbits is oval in shape.explain how the mangnitude of gravitational between the earth and sun changes as the eart moves from position a to b
As the distance between the Earth and the Sun decreases, the magnitude of gravitational force between the earth and sun increases and vice versa.
What is gravitational force?
Gravitational force is a force that attracts any two objects with mass.
According to Newton's law of universal gravitation, the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
F = Gm₁m₂/R²
where;
m₁ is mass of Earthm₂ is mass of sunR is the distance between the Earth and SunThus, as the distance between the Earth and the Sun decreases, the magnitude of gravitational force between the earth and sun increases and vice versa.
Learn more about gravitational force here: https://brainly.com/question/72250
#SPJ1
what the answer???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.70 m and 1.03 m, respectively. The respective rotational speeds are 449 rev/min and 4,150 rev/min. Calculate the speeds of the tips of both rotors.
main rotor ______m/s
tail rotor _______m/s
Compare these speeds with the speed of sound, 343 m/s.
vmain rotor = _______ vsound
vtail rotor = _______ vsound
(a) The speeds of the tips of both rotors; main rotor 181.02 m/s and tail rotor 223.8 m/s.
(b) The speed of the main rotor is 52.8 % speed of sound, and the speed of the tail rotor is 65.2 % speed of sound.
Linear speed of main motor and tail rotor
v = ωr
where;
ω is the angular speed (rad/s)r is radius (m)v(main rotor) = (449 rev/min x 2π rad x 1 min/60s) x (0.5 x 7.7 m)
v(main rotor) = 181.02 m/s
v(tail rotor) = (4,150 rev/min x 2π rad x 1 min/60s) x (0.5 x 1.03 m)
v(tail rotor) = 223.8 m/s
Speed of the rotors with respect to speed of sound% speed (main motor) = 181.02/343 = 0.528 = 52.8 %
% speed (tail motor) = 223.8/343 = 0.652 = 65.2 %
Thus, the speed of the main rotor is 52.8 % speed of sound, and the speed of the tail rotor is 65.2 % speed of sound.
Learn more about linear speed here: https://brainly.com/question/15154527
#SPJ1
If the gravitational potential energy of an object 10 m above the ground is 50 J, what is its Ep, if it moves to 30 m above the ground?
Answer:
150 J
Explanation:
Moving 3 times higher will increase the P E x 3 = 150 J
ox A has a mass of 20.0kg and Box B has a mass of 30.0kg. Box A is placed on a horizontal surface that is frictionless and Box B is hanging from a pulley by a rope connected to Box A. If the acceleration of the system is 5.88m/s2, what is the Tension T on Box A?
The tension on box A is 117.6 N
What is Equilibrium of Forces ?Equilibrium is a state of an object with respect to a given observable quantity during the time for which there is no change in that quantity.
A body is said to be in equilibrium when:
the body as a whole either remains at rest or moves in a straight line with constant speed.the body is either not rotating at all or is rotating at a constant angular velocity.Given that box A has a mass of 20.0kg and Box B has a mass of 30.0kg. Box A is placed on a horizontal surface that is frictionless and Box B is hanging from a pulley by a rope connected to Box A.
The tension in the rope will be the same.
Given that Box A is placed on a horizontal surface that is frictionless, that is,
T = ma .... (1)
Also, Box B is hanging from a pulley by a rope connected to Box A. That is,
W - T = ma ...... (2)
Where W = mg
Since the acceleration of the system is 5.88m/s² which will be the same for the two equations, then the Tension T on Box A can be calculated by substituting acceleration and mass into equation (1)
T = 20 x 5.88
T = 117.6 N
Therefore, the tension on box A is 117.6 N
Learn more about Equilibrium of Forces here: https://brainly.com/question/517289
#SPJ1
Find the center of mass of the three-mass system shown in the figure relative to the mass m = 1.03 kg . (Figure 1)
Express your answer to two significant figures and include the appropriate units.
The center of mass of the three-mass system is 0.433m.
A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. In a collection of unconnected items, the center of mass can also be established.
Given:Mass of the object, m₁ = 1.03kg
Mass of the object, m₂= 1.50kg
Mass of the object, m₃= 1.10
Taking the location of m as the origin and towards right as positive X-axis.
x₁=0
x₂=0.50m
x₃=0.25+0.50 = 0.75m
The X-coordinate of the center of mass [tex]x_c[/tex] of a system of three masses m₁, m₂ and m₃ located at the positions x₁, x₂ and x₃ on X-axis is given by,
[tex]x_c=\frac{m_1x_1+m_2x_2+m_3x_3}{m_1+m_2+m_3}[/tex]
[tex]x_c=\frac{0+1.50*0.50+1.10*0.75}{1.03+1.50+1.10}\\x_c= 0.433 m[/tex]
Therefore, the center of mass of the three-mass system is 0.433m.
Learn more about center of mass here:
https://brainly.com/question/16835885
#SPJ1
Solve this question please A.S.A.P ⁉️
No spamming ❗
Answer:
Here given is :-Velocity (u) = 10m/sGravity (g) = 10 m/s²Height (h) = ?Explanation:
v² - u² = 2gh0² - 10² = 2 × (-10) × h-100 = -20 h[tex]h = \frac{ - 100}{ - 20} = 5m[/tex]V = u + gt0 = 10 - 10t10t = 10[tex]t = \frac{10}{10} = 1 \: sec[/tex]Total time = 2 secAnswer:
See below
Explanation:
vf = vo + at when it reaches top vf = 0 vo = 10m/s a = -9.81 m/s^2
0 = 10 + (-9.81) t
t = 1.02 seconds to reach max
time up = time down so roundtrip = 2.04 seconds
A tree limb is blown loose from a tree during a storm. As it falls, it gains
speed. Which type of energy is the tree limb gaining as it falls?
O A. Kinetic energy
B. Gravitational potential energy
O C. Nuclear energy
OD. Light energy
Answer:
B Gravitational potential energy
Explanation:
A ball of mass 0.200 kg has a velocity of 150m/s; a ball of mass 0.300 kg has a velocity of - 0.4m/s. They meet in a head-on elastic collision. (a) Find their velocities after the collision. (b) Find the velocity of their center of mass before and after the collision.
(a) The velocity of 0.2 kg after the collision is 30.48 m/s and the velocity of the 0.3 kg mass is 119.92 m/s.
(b) The velocity of their center of mass before collision is 60.24 m/s and after the collision is 84.14 m/s.
Velocity of the balls after collision
Apply the principle of conservation of linear momentum to determine the velocity of the balls;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
0.2(150) + (0.3)(-0.4) = 0.2v₁ + 0.3v₂
29.88 = 0.2v₁ + 0.3v₂
Apply one directional linear velocity
u₁ + v₁ = u₂ + v₂
v₁ = u₂ + v₂ - u₁
v₁ = -0.4 + v₂ - 150
v₁ = v₂ - 150.4
Substitute the value of v₁ into the first equation;
29.88 = 0.2(v₂ - 150.4) + 0.3v₂
29.88 = 0.2v₂ - 30.08 + 0.3v₂
59.96 = 0.5v₂
v₂ = 59.96/0.5
v₂ = 119.92 m/s
v₁ = 119.92 - 150.4
v₁ = -30.48 m/s
Velocity of their center mass before collisionV(cm) = (0.2 x 150 + 0.3 x 0.4) / (0.2 + 0.3)
V(cm) = 60.24 m/s
Velocity of their center mass after collisionV(cm) = (0.2 x 30.48 + 0.3 x 119.92) / (0.2 + 0.3)
V(cm) = 84.14 m/s
Thus, the velocity of 0.2 kg after the collision is 30.48 m/s and the velocity of the 0.3 kg mass is 119.92 m/s.
The velocity of their center of mass before collision is 60.24 m/s and after the collision is 84.14 m/s.
Learn more about linear momentum here: https://brainly.com/question/7538238
#SPJ1
4. Four objects are situated along the y axis as follows: a 2.00kg object is at +3.00m, a 3.00kg object is at +2.50m, a 2.50kg object is at the origin, and a 4.00kg object is at -0.500m. Where is the center of mass of these objects?
Answer: 1.348 meters
Explanation: Although the sign is missing from the location of the 4.00 kg object, it is assumed to be positive. The net moment of all the objects about the center of mass must be zero. Let the center of mass be on the y axis at a point c . Adding the four moments together, we get:
(2.00)(3.00−c)+(3.00)(2.50−c)+(2.50)(0−c)+(4.00)(0.500−c)=0
6.00−2.00c+7.50−3.00c+0−2.50c+2.00−4.00c=0
11.5c=15.50
c= 1.348 metres
The center of mass is on the y axis at y = 1.348 metres.
Piston 1 in the figure has a diameter of 1.87 cm.
Piston 2 has a diameter of 9.46 cm. In the absence of friction, determine the force F, necessary to support an object with a mass of 991 kg placed on piston 2. (Neglect the height difference between the bottom of the two pistons, and assume that the pistons are massless).
The force F, necessary to support an object with a mass of 991 kg placed on piston 2 is 379.5 N.
Force necessary to support the objectApply Pascal principle to calculated the force needed to support the mass as shown below;
F₁/A₁ = F₂/A₂
F₁/d₁² = F₂/d₂²
F₁ = F₂d₁²/d₂²
where;
F₂ is the force on piston 2, determined from, F = mgd₂ is the diameter of piston 2, given as 9.46 cmd₁ is diameter of piston 1, given as 1.87 cmF₁ is force on piston 1 = ?Substitute the given parameters and solve for the force needed to support the mass given.
F₁ = (991 x 9.8 x 0.0187²)/(0.0946)²
F₁ = 379.5 N
Thus, the force F, necessary to support an object with a mass of 991 kg placed on piston 2 is 379.5 N.
Learn more about force here: https://brainly.com/question/12970081
#SPJ1
How does the suns energy affect the climate of an area
There wouldn't be any life on Earth and no climate if it weren't for the Sun.
The spherical form of the Earth results in changes in the amount of sunlight that reaches the surface at various latitudes, giving rise to various climatic zones. Seasons are caused by the tilt of the Earth's axis of rotation in relation to the ecliptic plane.
The surface of the sun is around 6000 C hot; at this temperature, the solar mostly produces visible light. The Earth radiates infrared energy back into space to maintain its energy balance after being warmed by incoming solar radiation. The Earth's surface has an average temperature of 15 C, and at this temperature, the planet emits infrared light.
Carbon dioxide, methane, nitrous oxide, and other atmospheric greenhouse gases let solar energy to pass through but absorb infrared radiation that the planet emits back into space. This feature is not shared by other atmospheric elements like oxygen and nitrogen. These greenhouse gases re-emit infrared radiation in all directions to maintain energy balance, some of which is aimed at the Earth's surface and warms it. More greenhouse gases will increase infrared absorption and raise surface temperatures. This is comparable to how much blanket you cover yourself with at night. The blanket's thickness affects how warm you feel. The result of heat brought on by rising levels of greenhouse gases in the atmosphere is climate change.
In the course of billions of years, the Sun will continue to get hotter and brighter, rendering the Earth uninhabitable.
Additionally, all fossil fuels (coal, petroleum, and natural gas) and renewable energy are directly and indirectly derived from the sun (wind, solar, biomass, and hydroelectric).
Thank you,
Eddie