kinetic energy is (m·s²)/2
m = mass
s = speed
so,
500 = (30 x s^2 )/2
1000 = 30 x s^2
100/3 = s^2
s = [tex]\frac{10\sqrt{3} }{3}[/tex]
PLEASE HELP FAST VERY URGENT (15 POINTS)!!
What led to the government getting involved in the treatment of water?
Answer:
Public outcry over dirty rivers
Explanation:
During a football game, a 75 kg fullback moving right with a speed of 10 m/s collides head-on with a 100 kg lineman moving
left with a speed of 4 m/s. The two players collide and stick together, determine the velocity of the two players after the collision.
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the fullback before the collision is 75 kg * 10 m/s = 750 kgm/s, and the initial momentum of the lineman before the collision is 100 kg * -4 m/s = -400 kgm/s (since he is moving in the opposite direction). After the collision, the two players stick together and move with a combined mass of 75 kg + 100 kg = 175 kg. Since the total momentum of the system must remain constant, the combined velocity of the two players after the collision must be equal to the total initial momentum of the fullback and lineman before the collision, or 750 kgm/s - 400 kgm/s = 350 kg*m/s.
Therefore, the combined velocity of the two players after the collision is 350 kg*m/s / 175 kg = 2 m/s. This is the speed at which the two players move after the collision. Note that this is much slower than the initial speeds of either player before the collision, which is expected since the combined mass of the two players is greater than the mass of either player alone, and the momentum of the system must be conserved.
a carnot engine is operated between two heat reservoirs at temperatures of 520 k and 300 k.
(a) If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it reject to the reservoir at 300 K?(b) How much mechanical work is performed by the engine during each cycle?(c) What is the thermal efficiency of the engine?
The ratio of heat supplied to heat emitted in a Carnot cycle is simply the ratio of absolute temperatures! QH.TH=QC.TC or QH.QC=TH.TC
How to solve?Here, we are given the heat that received by the engine at the hot side is QH= 6.45 kJ and we are asked to determine the heat that discarded at the cold reservoir Qc
By knowing TH ,Tc and QH
we can get Qc, using equation
Qc =−QH ( Tc/TH )
Now we can plug our given values for TH, Tc, QH and Qh into equation (1) to get Qc
Qc=−Qh(Tc/Th )=−6.45kJ(300K/520K)= −3.72kJ
Negative sign is an evidence that, the heat removes from the engine.
Is the 100th Carnot cycle effective?Even the Carnot engine is not 100% efficient. 100% efficiency (=1) requires that Q2 be equal to 0, which indicates that all of the heat from the source has been turned to work. The term "temperature of sink" refers to a negative temperature that is greater than unity on an absolute scale.
The Carnot factor is what?The condition = 1/2 indicates that half of the volume is "active" if the Carnot factor is defined more broadly as the ratio of an active volume to the whole volume.
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a dam holds back the water in a lake. if the dam has a small hole 1.4 meters below the surface of the lake, at what speed does water exit the hole?
The speed of water exiting the hole is 5.2m/s.
The water in a lake is kept back by a dam. If the dam has a tiny hole 1 point 4 meters below the lake's surface.
As a result of energy conservation, the equation determines the speed of a falling object just before it collides with the ground. The energy of the object before it is released is its gravitational potential energy, and the energy of the object just before it hits the Earth is its kinetic energy, and they are equal.However, the equation makes the assumption that there is no air resistance, which is incorrect for the Earth (or any other large body with an atmosphere). Furthermore, the gravitational field's strength changes with height.[tex]V=\sqrt{2gh} \\\\V=speed\\g=gravity\\h=height[/tex]
V=√[2 x 10 x 1.4]
V=5.2m/s
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a 0.1 kg arrow is shot at 120 m/s, a 4 kg cannonball is fired at 50 m/s, and a 1.2 kg model rocket launches with a velocity of 75 m/s. determine which has the greatest momentum.
The cannonball has the greatest Momentum among all.
The momentum of any body is defined as the product of its mass and its velocity.
Momentum = Mass × velocity
It is given that the mass of the arrow is 0.1 kg and it is short with a speed of 120m/s and the Cannonball has a mass of 4 kg and it is fired with the speed of 50m/s and a model Rocket is launched at a speed of 75m/s which has a mass of 1.2 kg.
From the standard relation of the momentum we can find the momentum of the arrow, cannonball and the rocket as,
Momentum of Arrow = 0.1 × 120
= 12 kgm/s.
Momentum of cannonball = 4 × 50
= 200 kgm/s.
Momentum of model Rocket = 1.2 × 75
= 90 kgm/s.
The cannonball has the greatest momentum.
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What happens to a sound wave as air temperature decreases?
O A. The wave's speed increases.
O B. The wave's speed decreases.
•O C. The wave returns to a rest position.
O D. Air particles push harder on the wave.
Answer:
O B. The wave's speed decreases.
Explanation:
A 90 kg football player runs right at 8 m/s and hit a 70 kg referee standing on the field causing the referee to go right at 5 m/s.
If this is an elastic collision, what would be the football player's velocity after colliding with the referee?
Answer:
4.11 m/s to the right
Explanation:
[tex]m_{p} u_{p} +m_{r} u_{r} =m_{p} v_{p} +m_{r} v_{r} \\\\90 kg * 8\frac{m}{s} +70 kg * 0\frac{m}{s} =90 kg * v_{p} +70 kg * 5\frac{m}{s} \\\\720\frac{kgm}{s} =350\frac{kgm}{s} +90kg*v_{p} \\\\v_{p} * 90 kg = 370\frac{kgm}{s} \\\\v_{p} = 4.11 \frac{m}{s}[/tex]
An official major league baseball has a mass of 0. 14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.
-12.04 kg m/s is the change in momentum of the ball during the collision with the bat.
What is momentum and how is it calculated?An object with mass m with velocity v has momentum p, which is defined by the equation p = mv. Keep in mind that inertia is a vector of both magnitude and direction, just like velocity. The momentum of such an object increases together with its mass or speed.
Briefing:A ball weighs m = 0.14 kg.
The ball's initial speed is 40 m/s.
The ball's final velocity was -46 m/s.
(a) The following equation describes how the ball's momentum changes when it collides with the bat:
AP = m (v- u)
= 0.14 (-46-40)
= -12.04 kg m/s
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The complete question is -
An official major league baseball has a mass of 0.14 kg. A pitcher throws a 40 m/s fastball which is hit by the batter straight back up the middle at a speed of 46 m/s.
a) What is the change in momentum of the ball during the collision with the bat?
In the column, the red (water) substance has a _____________ density than the black (corn syrup) substance. 18 points
In the column, the red (water) substance has a less density than the black (corn syrup) substance.
Explain what density is.The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Density Numeral: D or The density is calculated using the following formula: = m/V, where m is the object's mass and V is its volume.
The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms. Density is calculated by dividing a substance's mass by its volume.
From the image, you can see that the black section is thicker and the red is a little bit light.
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Michael uses his bike to apply 452 N to himself and the bike by pedaling as he approaches a 1.9 m tall ramp which is 5.0 m away. He starts from rest to accomplish this feat. How fast will he be moving just before he hits the ramp? (Mike and the bike have a combined mass of 151 kg)
The final velocity of Michael and his bike before he hits the ramp is 5.47 m/s.
What is the acceleration of Michael and his bike?The acceleration of Michael and his bike is calculated by applying Newton's second law of motion as follows;
F = ma
a = F/m
where;
F is the applied forcem is the massa = 452 / 151
a = 2.99 m/s²
The final velocity of Michael and his bike before he hits the ramp is calculated as follows;
v² = u + 2as
where;
u is initial velocity = 0s is the distance travelled = 5 mv² = 0 + 2(2.99)(5)
v² = 29.9
v = √29.9
v = 5.47 m/s
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Visible light is which type of wave?
Answer:
Visible light waves are a form of electromagnetic radio waves such as infrared radiation, X-rays, microwaves, and ultraviolet radiation.
A 20 N force is necessary to stretch a spring 0.5 m. What is the spring constant of this spring?
Answer: The spring constant of a given spring is [tex]40 N/m[/tex].
Explanation:
Given,
Force (F) = 20N
The displacement of the spring[tex]= x = 0.5 m[/tex]
To find: Spring constant (k) = ?
As we know that,
Hook's law states that,
[tex]F = k[/tex] · [tex]x[/tex]
Therefore, [tex]k = \frac{F}{x}[/tex]
[tex]k = \frac{20}{0.5}[/tex]
[tex]k = \frac{(20)(10)}{5}[/tex]
[tex]k = 40 N/m[/tex]
Hence, The spring constant of a given spring is [tex]40 N/m[/tex].
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A long metal cylinder with radius a is supported on an insulating stand on the axis of a long, hollow metal tube with radius b. The positive charge per unit length on the inner cylinder is ? and there is an equal negative charge per unit length (-?) on the outer cylinder. a. Calculate the potential V(r) everywhere in space. That is where r < a, a < r < b, and r >b. Take V = 0 at r = b. b. Show that the potential of the inner cylinder with respect to the outer is c. Use the result from part a to show that the electric field at any point between the cylinders has magnitude ( ) d. What is the potential difference between the two cylinders if the outer cylinder has no net charge?
a)
(i) Potential for r < a: V(r) = λ / 2π∈₀㏑ (b/a)
(ii) Potential for a < r < b: V(r) = λ / 2π∈₀㏑ (b/r)
(iii) Potential for r > b: V(r) = 0
Here we want to calculate the potential for r < a.
Before calculating the potential, we have to keep in mind that the electric field outside an infinite wire or an infinite cylinder uniformly charged is
E = λ / 2 π ∈₀* r
where, λ is the linear charge density
r is the distance from the wire/surface of the cylinder
By integration, we find an expression for the electric potential at a distance of r:
V(r) = ∫ E dr = λ / 2π∈₀ ㏑ (r)
Inside the cylinder, however, the electric field is zero, because the charge contained by the Gaussian surface is zero:
E = 0
So, the potential where the electric field is zero is constant:
V = constant
(iii) We start by evaluating the potential in the region r > b. Here, the net electric field is zero, because the Gaussian surface of radius r here contains a positive charge density +λ and an equal negative charge density -λ. Therefore, the net charge is zero, so the electric field is zero.
This means that the electric potential is constant so we can write:
ΔV = V(r) - V(b) = 0
V(r) = V(b)
However, we know that the potential b is zero, so
V(r) = V(b) = 0
(ii) The electric field in the region a < r < b instead it is given only by the positive charge +λ distributed over the surface of the inner cylinder of radius a, therefore it is
E = λ / 2π∈₀
And so the potential in this region is given by:
V(r) = ∫ E dr = λ / 2π∈₀ [ ㏑(b) - ㏑(r)] = λ / 2π∈₀ ㏑(b/r) ----(1)
(i) Finally, the electric field in the region r < a is zero, because the charge contained in this region is zero: E = 0
This means that the potential in this region remains constant and it is equal to the potential at the surface of the inner cylinder, so calculated at r = a
which can be calculated by substituting r = a in expression (1)
V(a) = λ / 2π∈₀ ㏑(b/a)
And so, for r < a
V(r) = λ / 2π∈₀ ㏑(b/a)
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planets a and b have the same uniform density as one another, but planet b has twice the radius of planet a. in terms of the acceleration due to gravity on planet a (ga), what is the acceleration due to gravity on planet b?
The acceleration of the planet b is inversely proportional to the square of the radius.
What is acceleration due to gravity ?
Acceleration owing to gravity is the term used to describe the acceleration of freely falling bodies caused by the force of attraction of the other body. For a specific attracting body at a specific location, it is a constant number. The average acceleration caused by gravity for objects on or near the surface of the earth is 9.8 m/s2.
Every particle in the cosmos attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers, according to Newton's law of universal gravitation.
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What is the force of gravity between the earth and the sun?
Answer: approximately 3.54x10 22 N
Explanation:
What physical properties cause an object to resinate?
shape,composition, and length
shape,temperature,energy
mass,color, and density
color, density and composition
The physical properties cause an object to resinate shape,composition, and length. Therefore, option A is correct.
What is physical property ?A physical property is a characteristic of matter that can be observed and measured without changing a sample's chemical identity. The measurement of a physical property may alter the arrangement of matter in a sample, but not its molecule structure.
An extensive property is one that is affected by the amount of matter in a sample. Mass and volume are two examples of extensive properties.
There are physical properties of matter that are proportional to its quantity or size, such as length, mass, volume, weight, and so on. As the size or quantity of matter changes, so do these properties and their values.
Thus, option A is correct.
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If you are in a tunnel and yell loudly, you can hear__________________ sound waves, which are also known as ____________
Answer:
REFLECTED, ECHOES.
Explanation:
This drummer recorded an album that was considered by some to be the actual first recording of jazz fusion
a. Art Blakey
b. Bud Powell
c. Tony Williams
d. John Coltrane
This drummer produced an album that some people believe to be the true debut of jazz fusion. Archie Blakey
The correct answer is A
What happens when fusion occurs?Two light nuclei combine to form one heavy nucleus during a fusion process. Because the mass of the single nucleus formed is less than the combined mass of the two initial nuclei, energy is released throughout the process. Energy is created from remaining mass.
Why is nuclear fusion so potent?Energy in abundance Controlled nuclear fission reactions and chemical reactions like burning coal, oil, or gas both provide energy, while controlled atomic fusion produces approximately four million times as much energy (at equal mass).
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What are the major groups of the periodic table?
Metals, nonmetals, and metalloids are the Periodic Table's three main groups.
What do periodic tables tell us?Scientists easily look up information about an element, such as its atomic mass and chemical symbol, using the periodic table. This design of the atomic numbers allows scientists to spot patterns in elemental characteristics like electronegativity, ionization energy, and atomic radius.
Why is it called periodic?It is called the periodic table because of the elements' systematic arrangement. You'll see that they are arranged in columns and rows. The vertical columns that go from top to bottom and the horizontal rows that travel from left to right are referred to as Periods and Groups, respectively.
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Dr. Chang is studying seismic waves. He notices that seismic waves (a type known as p-waves) travel faster through the mantle than through the outer core. What can he conclude from this observation?.
Seismic velocities are influenced by the medium's physical characteristics, including composition, mineral phase and packing structure, temperature, and pressure.
Denser materials allow seismic waves to propagate more quickly, hence depth generally increases the speed of seismic waves. Seismic waves are slowed in abnormally hot regions. A liquid conducts seismic waves more slowly than a solid does. Due to the fact that P waves and S waves cannot propagate through liquid, molten regions of the Earth slow P waves and block S waves.
There are two different types of waves produced by earthquakes: primary (P) and secondary (S). Based on when they come and how they feel on the surface, they are classified.
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The physical properties of the medium, such as composition, mineral phase and packing structure, temperature, and pressure, have an impact on seismic velocities.
What are seismic wave?
The speed of seismic waves is typically increased by depth because denser materials allow for faster seismic wave propagation. In areas that are abnormally hot, seismic waves slow down. Seismic waves are conducted more slowly by liquids than by solids. Molten parts of the Earth impede P waves and block S waves because P waves and S waves cannot travel through liquid.
Primary (P) and secondary (S) waves are the two main types of seismic waves that are generated. They are categorized based on when they arrive and how they feel on the surface.
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Which two energy transformations are taking place as the dog slides?
A. Potential energy
B. Mechanical energy
kinetic energy
1
chemical energy
C. Kinetic energy electromagnetic energy
D. Potential energy - thermal energy
SUBMIT
D. Potential energy - thermal energy. The two major forms are Kinetic Energy and Potential Energy. Kinetic energy is the energy in moving objects or mass.
What is a kinetic energy transformation example?A portion of the kinetic energy from the club's swing is transferred to the stationary golf ball as the club makes "contact" with it.This type of energy transfer involves the transfer of energy from one item to another while maintaining its original shape.
What constitutes a potential and kinetic energy example?Let's use illustration:Consider a table with a book on it.The book has potential energy when it is open.However, because the book is in motion when you unintentionally knock it from the table, that potential energy will change into kinetic energy as it falls.
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Answer: it's potential energy and kinetic
Explanation:
I know because I got it wrong think it was potential energy and thermal energy the person down or up there got it wrong don't choose it
A copper wire with a length of 50cm conducts a current of 1.5 A perpendicular to a magnetic field of 0.5 T What is the Magnetic Force acting on the wire
A copper wire with a length of 50cm conducts a current of 1.5 A and perpendicular to a magnetic field of 0.5 T, then the magnetic force acting on the wire is calculated as 0.375 N.
What do you understand by magnetic force?Magnetic force is a consequence of the electromagnetic force which is one of the four fundamental forces of nature, and it is caused by the motion of charges.
Given : B=0.5T L=50 cm =0.5m I=1.5A
As we know that the copper wire is perpendicular to the magnetic field, therefore angle will be 90 degree
∴ We use the formula, F = I*L*B*sin(theta)
= 1.5 * 0.5 * 0.5 sin(90°)
So, Magnetic force = 0.375 N
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when the displacement in shm is one-fifth the amplitude xm, what fraction of the total energy is kinetic energy?
The displacement in SHM is 1/5 of amplitude, and the fraction of total kinetic energy is Ek = 24/25.
What is SHM?
Simple harmonic motion is described as the periodic motion of a point along a straight line with an acceleration that is always toward a fixed point in that line and a distance from that point that is proportional to that acceleration.
Calculations:
Let’s derive the equations needed from the first principle. For SHM with amplitude A and angular speed ω the displacement is:
s=Asin(ωt) ------------ (1)
Differentiate the displacement to get the velocity:
v=s′=Aωcos(ωt)
So for a mass m, the kinetic energy is:
Ek = 1/2mv²
Ek = 1/2m ×(Aωcos(ωt) )² --------------------- (2)
At time t= 0 the displacement s= 0 and so all the energy is kinetic. Therefore the total energy is:
E (total) = 1/2m ×( Aωcos(0) )²
E (total) = 1/2m × (Aω)² ------------------ (3)
Comparing (2) and (3) we can rewrite the kinetic energy in terms of the total energy:
Ek = E (total) cos²(ωt)
Using the identity cos² (x) + sin² (x) = 1, we can rewrite this equation as:
Ek = Etotal (1−sin²) .(ωt)) ---------------------(4)
We also know that the potential energy U = E(total) − Ek, so:
U = E (total) − E (total) (1−sin²(ωt) )
U = E (total) sin²(ωt) -------------------------(5)
Now in this question, we’re given that s = 1/5 A, so from our displacement formula (1) we have:
s= Asin (ωt) = 1/5A
Inserting this in equation (4) we have for the kinetic energy:
Ek = E (total)(1 − (1/5)²)
Ek = 24/25 (E (total) )
Hence, the displacement in SHM is 1/5 of the amplitude, and the fraction of total kinetic energy is Ek = 24/25.
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Electric car are about to dramatically change tranportation. What change can you think of
Answer:
I think that the whole economy will change due to the fact that gas will not be used as much as before and the fact that many people will lose their jobs, people like gas pump attendantsattenents, gas companys and many more.
Explanation:
the coriolis force will deflect objects to the in the southern hemisphere, and gets stronger when the objects velocity is ?
In the southern Hemisphere, objects deflect to the right, whereas In the Northern Hemisphere objects deflect to the left.
What is Coriolis force in simple terms?The Coriolis force is the name given to the unseen force that seems to reroute the wind. Different speeds of movement are governed by the Coriolis force. It is based on the gravity or rotational speed of the object. The force is parallel to the axis of the object. From west to east, the Earth rotates on its axis.
Why does the equator lack a Coriolis force?The path of an object moving vertically and freely at the equator does not curve relative to the Ground atmosphere as there is no sensation of rotation of the Earth's surface underneath it. There is no Eddy currents effect because the object's trajectory is straight.
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A jet is moving 348.5 m/s. The plane slows to a stop in 12.1 seconds during its landing. How far does the plane
move while landing?
Answer:
29
The brakes are much more effective than anything else, at least for the jet I have experience in
Explanation:
The jet moved 3485m/s
if the earth rotated slower about its axis, your apparent weight would question 7 options: increase. be zero. stay the same. decrease.
If the earth rotated slower about its axis, your apparent weight would increase, because we would experience less centrifugal force as the Earth rotated more slowly. Since gravity would remain constant but centrifugal force would decrease, the combined force of the Earth's gravity and centrifugal force would be greater.
What is centrifugal force?
A hypothetical force called centrifugal force, which is unique to particles traveling in a circle, is a force that has the same strength and dimensions as the centripetal force, but acts in the opposite direction.
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Can you guys help me explain why Lisa from the amplify 6th grade science doesn't have anemia? Please provide evidence from the article. It can be located in the library on amplify, and explain how molecules move through the body when someone has anemia, and compare that to elisa's test results. This can be located in Amplify Microbiome lesson 2.7. Please yalll helpp
You will learn about the requirements for each system and cell in your body as we go along by using the anemia metabolism simulation.
What are anemia's three main causes?Blood's red color is due to the iron-rich protein known as hemoglobin. From the lungs, it transports oxygen to the rest of the body. Blood loss, a lack of red blood cell formation, and excessive red blood cell breakdown rates are the three basic causes of anemia.
What occurs when someone has anemia?When you have anemia, your body doesn't produce enough strong red blood cells to supply enough oxygen to the tissues. You may experience fatigue and weakness if you have anemia, commonly known as low hemoglobin.
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A book of mass 800 g is pushed off of a shelf with a force of 20 N. Given that the book falls with an initial velocity of 2 m/s, calculate the time of contact between the book and the hand pushing it.
Answer:
F = Δp / Δt ⇒ t = Δp / F (To get the time of contact, we divide the change in momentum by the applied force)
Since the book was stationary before we pushed it, the initial momentum is 0. Hence the change in momentum will just be the value of the final momentum.
Δp = mv
t = mv / F = (0.8 kg * 2 m/s) / 20 N = 0.08 s
Explanation:
list and describe in detail the four stages of planetary development. describe how theses stages are/were different on mercury and on earth?
Differentiation, Cratering, Flooding, and Surface Evolution are the four separate stages of development that a newly created terrestrial planet, like the Earth or Venus, goes through.
What qualifies as planetary?It must orbit about a galaxy (in our cosmic neighborhood, the Sun). It must be large enough for gravity to pull it in a spherical direction. It must have been large enough that any nearby things of a comparable size were removed by its gravitational pull.
Earth is it a planet?Earth is just a rocky, earthly planet and is home to us. There are volcanoes, valleys, canyons, plains, and much more on its stable and dynamic surface. Being an ocean planet, Earth is unique. The Earth's surface is 70% covered by water.
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