Answer:
Vy = 80.5 [m/s]
Explanation:
In order to solve this problem we must use the Pythagorean theorem.
V = 90 [m/s]
The components are Vx and Vy:
Therefore:
\(v=\sqrt{v_{x}^{2} + v_{y}^{2} }\)
where:
Vy = 2*Vx ; because one is twice of the other.
\(90 = \sqrt{v_{x}^{2} +(2*v_{x})^{2} }\\ 90 =\sqrt{v_{x}^{2}+4*v_{x}^{2}} \\90 =\sqrt{5v_{x}^{2}} \\90=2.23*v_{x} \\v_{x}=40.25[m/s]\)
and the bigger vector is:
Vy = 40.25*2
Vy = 80.5 [m/s]
What three forces are always in effect?
Answer:The gravitational force is defined in Uniform Circular Motion and Gravitation, electric force in Electric Charge and Electric Field, magnetic force in Magnetism, and nuclear forces in Radioactivity and Nuclear Physics. On a macroscopic scale, electromagnetism and gravity are the basis for all forces.
Explanation:
Answer:
The gravitational force is defined in Uniform Circular Motion and Gravitation, electric force in Electric Charge and Electric Field, magnetic force in Magnetism, and nuclear forces in Radioactivity and Nuclear Physics. On a macroscopic scale, electromagnetism and gravity are the basis for all forces.
what are atoms mostly made of 
nucleus empty space electrons, fuzzy stuff
The core (nucleus) of an atom is made up of protons and neutrons. Protons have a charge, whereas neutrons have no charge. A cloud of charged particles known as electrons surrounds the nucleus. Electrons have a charge that is diametrically opposed to the charge on the
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Quantum mechanics is used to describe the vibrational motion of molecules, but analysis using classical physics gives some useful insight. In a classical model the vibrational motion can be treated as SHM of the atoms connected by a spring. The two atoms in a diatomic molecule vibrate about their center of mass, but in the molecule HIHI, where one atom is much more massive than the other, we can treat the hydrogen atom as oscillating in SHM while the iodine atom remains at rest.
Part A
A classical estimate of the vibrational frequency is f = 7.0 x 1015 Hz. The mass of a hydrogen atom differs little from the mass of a proton. If the HI molecule is modeled as two atoms connected by a spring, what is the force constant of the spring? Express your answer to two significant figures and include the appropriate units. k= 320 N
Part B
The vibrational energy of the molecule is measured to be about 5 x 10-20 J. In the classical model, what is the maximum speed of the H atom during its SHM? Express your answer to one significant figure and include the appropriate units. v = 8000
Part C
What is the amplitude of the vibrational motion? Express your answer to one significant figure and include the appropriate units. • Ea ? I HÀ A = 3.4.1018 • • m
Part D
How does your result compare to the equilibrium distance between the two atoms in the HI molecule, which is about 1.6 x 10-10 m? Express your answer using one significant figure. IVO AQ R O 2 ? equilibrium distance = 2.25 • 10-2
Answer:
o my god how big is the question
Why do the waves have different speeds in different layers of Earth's surface?
A Earth's different layers contain materials with different energy-transfer properties.
B Earth's different layers already move at different speeds because of Earth's rotation
O c Waves increase in speed as they move away from their source, so they move faster in deeper layers.
D. Waves gain heat energy by traveling through each layer, and the heat is transformed to kinetic energy.
Answer:
Material's density
Explanation:
Seismic waves travel at different rates of speed based on a material's density. Hopefully, you understand that the Earth has three main layers: the crust, mantle, and core. Earthquake waves move faster through solids.
why an object weighs less on moon than earth?
Can anyone help with the attached question
The wave front, also known as the wavefront, is an imaginary surface that represents equivalent points of a wave that vibrate in sync. The correct option is D ; 2.0 .
What is a wavefront in physics?A wave front is described as a surface where the wave's phase remains constant. At any one time, all particles of the medium are moving in the same direction along a certain wave front. Two kinds of wave fronts are very essential. They are plane and spherical wave fronts, respectively. A wavefront is a surface on which the wave disturbance is in the same phase at all places. For example, the ripples of water created when a stone is tossed into a pond.
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Gavin can type 1/2 page of his book report in 5 3/4 minutes what’s the typingrate
Answer:
Jim Crow Laws Effects.
User
What were Jim Crow laws? Your response should also describe at least two effects Jim Crow laws
had on the rights of Black Americans. (4 points)
ChatGPT
Jim Crow laws were a set of state and local laws in the United States, enacted between the 1870s and 1960s, that enforced racial segregation and discrimination against Black Americans. These laws were named after a popular 19th-century minstrel show character who stereotyped African Americans.
Two effects of Jim Crow laws on the rights of Black Americans were:
Limited access to public facilities: Jim Crow laws mandated that public spaces such as schools, parks, hospitals, and restaurants were segregated by race. Black Americans were often denied access to public spaces that were reserved for white people. This segregation limited the ability of Black Americans to participate fully in public life and access resources and opportunities that were available to white Americans.
Restricted voting rights: Jim Crow laws were used to disenfranchise Black Americans by making it difficult or impossible for them to vote. These laws included literacy tests, poll taxes, and other requirements that were designed to exclude Black Americans from voting. As a result, many Black Americans were unable to exercise their constitutional right to vote until the Voting Rights Act of 1965 was passed. This restriction on voting rights undermined the ability of Black Americans to participate fully in democracy and have their voices heard.
User
Gavin can type 1/2 page of his book report in 5 3/4 minutes what’s the typingrate
ChatGPT
To calculate Gavin's typing rate, we need to divide the amount he can type by the time it takes him to type it.
First, we need to convert the mixed number 5 3/4 into an improper fraction:
5 3/4 = (4 x 5 + 3)/4 = 23/4
Next, we can convert the mixed number 1/2 into an improper fraction:
1/2 = 2/4
Now, we can add the two fractions:
23/4 + 2/4 = 25/4
This means that Gavin can type 25/4 pages in 5 3/4 minutes.
To find Gavin's typing rate, we need to divide the amount he can type (25/4 pages) by the time it takes him to type it (5 3/4 minutes):
Typing rate = (25/4) / (5 3/4)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
Typing rate = (25/4) x (4/23)
Simplifying the fractions, we get:
Typing rate = 25/23
Therefore, Gavin's typing rate is 25/23 pages per minute.
A parallel-plate capacitor is connected to a battery. The energy of the capacitor is Uo. The capacitor is then
disconnected from the battery and the plates are slowly pulled apart until the plate separation doubles. The new
energy of the capacitor is U. Find the ratio U/Uo.
The energy stored in a capacitor is given by the formula U = 1/2 * C * V^2, where C is the capacitance of the capacitor and V is the voltage across the plates.
When the plate separation doubles, the capacitance of the capacitor is halved. This means that the new energy of the capacitor, U, is equal to 1/2 * (C/2) * (V/2)^2 = 1/8 * C * V^2 = Uo/8.
The ratio U/Uo is therefore equal to Uo/8/Uo = 1/8, or 0.125.
Make 3 observation about the picture to the right.
Pleas help
The picture shown in the figure represents the Milky Way Galaxy. The Galaxy in which the entire solar system is present.
The million and trillion of stars in the universe form Galaxy. The galaxy in which the entire solar system is present is called Milky Way Galaxy. The Milky Way Galaxy is spiral in shape. This Galaxy has four major arms. The major arms have both old and young stars and the minor arms have the gas and star formation activity. This galaxy also has a black hole at its center. Galileo Galilei was the first to see the Galaxy.
The Milky Way Galaxy is made up of a dense cloud of gas that stretches across the sky as seen from the Earth. The age of the Milky Way Galaxy is 13.61 billion years ago and the Andromeda Galaxy is the nearest galaxy to the Milky Way Galaxy.
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What is the magnitude of velocity for a 2,000 kg car possessing 3,000 kg.m/s of
momentum?
Answer:
The product of the mass and the volume is known as momentum.
According to the law of momentum, it is stated that the two or more bodies remain in a constant state unless an external force is applied in an isolated room.
Momentum depends on the following:-
Mass
Velocity
Momentum = MASS \ X \ VOLUMEMomentum=MASS X VOLUME
\begin{gathered}momentum = 3000kgm/s\\\\mass = 2000kg\\\\velocity =\frac{momentum}{mass}\\\\v= \frac{3000}{2000} \\\\v= 1.5m/s\end{gathered}
momentum=3000kgm/s
mass=2000kg
velocity=
mass
momentum
v=
2000
3000
v=1.5m/s
Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed
Answer: The scenario violates the second law of thermodynamics.
Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.
5. A rope exerts a constant horizontal force of 350 N to pull a 40-kg crate across the floor. The velocity of the crate is observed to increase from 1 m/s to 9 m/s in a time of 2 seconds under the influence of this force and the frictional force exerted by the floor on the crate.
a. What is the net force acting upon the crate?
b. What is the magnitude of the frictional force acting upon the crate?
The crate is being pulled by a total force of 160 N. the box is being subjected to a 350 N frictional force. The crate is being movement to a 96.99 N force of friction.
What pulls with a 250 N continuous horizontal force applied by a rope?A rope pulls a 60 kg 60 kg container across the floor with a constant force applied of 250 N. Under the impact of this coercion and the compressive stress the floor exerts on the crate, it is seen that the speed of the crate increases from 1 m/s to 3 m/s to 3 m/s in a period of 2 seconds.\($a = \frac{\Delta v}{\Delta t} =\frac{9}{ \text m/s - 1} \text m/s^2, \text s = 4, \text{and} \ \text m/s 2$\)
The following formula can be used to determine the net force on the crate:
\(\rm F_{net }= ma = (40kg)(4m/s) = 160 N\)
As a result, the crate is being pulled by a total force of 160 N.
What is the frictional force's magnitude?The degree of kinetic friction is inversely correlated with the level of normal force and the level of irregularity in between sliding surfaces. The magnitude of static friction is inversely related to the amount of normal force and the measure of roughness between of sliding surfaces.\((40 \text kg) = $N = mg 9.81 \text m/s^2= 392.4 \text N$\)
As the coefficient of friction factor between the crate and the floor is not provided, we are unable to directly calculate it. Yet, we are aware that the 350 N force exerted by the rope must be balanced by a force of friction that is both equal to and directed in the opposite direction. Hence, it is possible to compute the frictional force's magnitude as follows:
\(355 \text N, $F friction\)
As a result, the box is being subjected to a 350 N frictional force.
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A tennis player tosses a tennis ball straight up and then catches it after 2.21 s at the same height as the point of release.
(a) What is the acceleration of the ball while it is in flight?
magnitude
_____ m/s2
direction
---Select---
(b) What is the velocity of the ball when it reaches its maximum height?
magnitude
_____ m/s
direction
---Select---
(c) Find the initial velocity of the ball.
____ m/s upward
(d) Find the maximum height it reaches.
____ m
(a) To determine the acceleration of the ball while it is in flight, we can use the equation of motion:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
In this case, the ball is thrown straight up, so its final velocity at the highest point is 0 m/s. The initial velocity is unknown, the acceleration is due to gravity and is approximately -9.8 m/s^2 (negative since it acts in the opposite direction of motion), and the time of flight is 2.21 s.
Using the equation, we can solve for the acceleration:
0 = u - 9.8 * 2.21
u = 9.8 * 2.21
u ≈ 21.658 m/s
Therefore, the acceleration of the ball, while it is in flight, is approximately 21.658 m/s^2 in the upward direction.
(b) When the ball reaches its maximum height, its velocity is 0 m/s. This occurs when the ball is momentarily at rest before falling back down. Therefore, the magnitude of the velocity when the ball reaches its maximum height is 0 m/s.
(c) To find the initial velocity of the ball, we can use the equation:
v = u + at
At the highest point, the final velocity is 0 m/s, the acceleration is -9.8 m/s^2 (due to gravity), and the time is 2.21 s.
0 = u - 9.8 * 2.21
u = 9.8 * 2.21
u ≈ 21.658 m/s upward
Therefore, the initial velocity of the ball is approximately 21.658 m/s upward.
(d) The maximum height reached by the ball can be determined using the equation for vertical displacement:
s = ut + (1/2)at^2
At the highest point, the final displacement is 0 m, the initial velocity is 21.658 m/s upward, and the time of flight is 2.21 s.
0 = 21.658 * 2.21 + (1/2) * (-9.8) * (2.21)^2
0 = 47.864 + (-5.5294)
5.5294 = 47.864
Therefore, there seems to be an error in the calculations as the equation does not hold true. Please check the given values and equations to ensure accuracy.
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When a 72 W light bulb is connected to a 298 V source, what is the current ?
the current is 0.24 Amperes
Explanationpower is the amount of energy transferred or converted per unit time, it can be found using the formula
\(\begin{gathered} P=I*V \\ where\text{ P is the power} \\ I\text{ is the current} \\ V\text{ is the voltage} \end{gathered}\)so
Step 1
a)let
\(\begin{gathered} P=\text{ 72 Watts} \\ V=298\text{ V} \end{gathered}\)b) now, replace in the formula and solve for I
\(\begin{gathered} P=I*V \\ 72\text{ W=I*298 V} \\ divide\text{ both sides by 298 V} \\ \frac{72W}{298\text{ V}}\text{=}\frac{I*298V}{298\text{ V}} \\ 0.24\text{ Amperes=I} \end{gathered}\)therefore,the current is 0.24 Amperes
I hope this helps you
Why is it important for scientist to be skeptical
Answer:
I don't actually know, but it has to do with the research they id
Explanation:
to seem precise
By how many decibels does the intensity level of a sound decrease when you triple your distance from a source of sound?.
The intensity level of a sound decreases by approximately 6 dB every time you double your distance from the source. Therefore, when you triple your distance from the source, the intensity level of the sound will decrease by approximately 18 dB.
What is source?Intensity level is a measure of the strength of a stimulus, stimulus being anything that causes a reaction in an organism or system. It is a quantitative measure of the magnitude of a physical phenomenon, such as sound or light. It is most commonly expressed as a numerical value and is typically measured in decibels (dB). Intensity level is an important concept in fields such as audio engineering, physics, and sensory science, as it is used to measure the strength of a stimulus and to compare different stimuli. For example, the intensity level of a sound is a measure of how loud it is, while the intensity level of light is a measure of how bright it is.
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A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done? (1 point)
O 18.2 J
O 705 J
O OJ
O 24,600 J
Answer:OJ
Explanation: it ok you can trust me (-_-)
Answer:
(Question) What is the mathematical relationship between force and work?
(Answer) W=F×d
(Question) If W=F×d, which of the following equations shows work being calculated using the correct units?
(Answer) 113 J=(17.4 N)×(6.51 m)
(Question) A force of 57.1 Newtons is applied for 0.977 meters; what work was done on the object?
(Answer) 55.8 J
(Question) A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done?
(Answer) 0J
(Question) A 8.43-Newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?
(Answer) 44.6 m
Explanation:
just did the quick check UwU
A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 13.5 m/s, and the man is initially 3.55 m above the level of the saddle. Find a - What must be the horizontal distance between the saddle and limb when the man makes his move? Find b - How long is he in the air?
(a) the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
(b) the man is in the air for approximately 0.843 seconds.
To determine the horizontal distance between the saddle and limb when the man makes his move, we need to consider the horizontal velocity of the man when he drops from the tree limb.
Given:
Speed of the horse (constant velocity), v = 13.5 m/s
Vertical distance between the limb and saddle, h = 3.55 m
a) To find the horizontal distance, we can use the formula:
horizontal distance = horizontal velocity × time
Since the man drops vertically, his initial horizontal velocity is zero. The only horizontal velocity he will have is due to the motion of the horse.
The time taken by the man to fall can be determined using the equation for free fall:
h = (1/2) × g × t²
Where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time.
Rearranging the equation, we get:
t = √(2h / g)
Substituting the given values:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Now, we can find the horizontal distance:
horizontal distance = v × t
horizontal distance = 13.5 × 0.843 ≈ 11.386 m
Therefore, the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
b) The time the man is in the air can be calculated using the same equation for free fall:
t = √(2h / g)
Substituting the given value of h:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Thus, the man is in the air for approximately 0.843 seconds.
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1/2
I, the student, verify that I have read the lab safety document and will comply with the rules as stated.
Yes
No
(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
A lightning bolt may carry a current of 1.00 10⁴ A for a short time. What is the resulting magnetic field 170 m from the bolt? Suppose that the bolt extends far above and below the point of observation.
__________μT
The resulting magnetic field of the bolt is 11.8 μT.
What is magnetic field?Magnetic field is the region or space around which a magnetic force can be felt or experienced.
To calculate the magnetic field of the lightning bolt, we use the formula below
⇒ Formula:
B = μ₀I/2πr..................... Equation 1⇒ Where:
B = Magnetic field of the lightning boltI = Currentr = distance of the field from the bolt μ₀ = Permeability of free spaceFrom the question,
⇒ Given:
I = 1.00×10⁴ Ar = 170 mμ₀ = 4π×10⁻⁷ H/mSubstitute these values into equation 1
B = (1×10⁴×4π×10⁻⁷)/(2π×170)B = 1.18×10⁻⁵ TB = 11.8 μTHence, the resulting magnetic field of the bolt is 11.8 μT.
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A vessel with an unknown volume is filled with 10 kg of water at 90oC. Inspection of the vessel at equilibrium shows that 8 kg of the wateris in the liquid state. What is the pressure in the vessel, and what is the volume of the vessel
In this case, it is possible to solve this problem by using the widely-known steam tables which show that at 90 °C, the pressure that produces a vapor-liquid mixture at equilibrium is about 70.183 kPa (Cengel, Thermodynamics 5th edition).
Moreover, for the calculation of the volume, it is necessary to calculate the volume of the vapor-liquid mixture, given the quality (x) it has:
\(x=\frac{m_{steam}}{m_{total}}\)
Thus, since 8 kg correspond to liquid water, 2 kg must correspond to steam, so that the quality turns out:
\(x=\frac{2kg}{10kg} =0.20\)
Now, at this temperature and pressure, the volume of a saturated vapor is 2.3593 m³/kg whereas that of the saturated liquid is 0.001036 m³/kg and therefore, the volume of the mixture is:
\(v=0.001036m^3/kg+0.2(2.3593-0.001036 )m^3/kg=0.4727m^3/kg\)
This means that the volume of the container will be:
\(V=10kg*0.4727m^3/kg\\\\V=4.73m^3\)
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https://brainly.com/question/23339302https://brainly.com/question/15081976Assume 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.
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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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Help?step by step/no need
Answer:
3, 5, and 6, that should be the answer
A 3.63 kg Doepke Toys 1952 Jaguar XK 120 race toy car is pushed by a person along a track so that it is moving at 0.65 m/s. It hits a spring (k = 700 N/m) at the end of the track, causing it to compress. Determine how far did the spring compress to bring the toy car to a stop.
According to the question the spring compressed 7.3 cm to bring the toy car to a stop.
What is spring?Spring is a season of renewal and rebirth. It is the period of time between winter and summer when days become warmer, plants and flowers begin to bloom, and the earth comes alive with new life. During spring, animals come out of hibernation, birds return from their winter migration and the sun stays in the sky for longer periods of time. Spring is a time of transformation and growth, when the earth is filled with color and beauty. It is a time for us to enjoy the outdoors, appreciate nature and appreciate the beauty of the world around us. Spring is a time to start anew, begin fresh projects and enjoy the beauty of the world.
The distance the spring compresses to bring the toy car to a stop can be calculated using the equation: x = (1/2k)mv^2, where x is the distance the spring compresses, k is the spring constant, m is the mass of the toy car, and v is the initial velocity. Substituting the given values, we get:
x = (1/2(700 N/m))(3.63 kg)(0.65 m/s)^2 = 7.3 cm
Therefore, the spring compressed 7.3 cm to bring the toy car to a stop.
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Newton's Third Law of Motion
Answer:
Whenever one body exerts a force on a second body, the first body experiences a force that is equal in magnitude and opposite in direction to the force that it exerts
Explanation:
Answer: According to Khan Academy "Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.
Explanation: This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself. We sometimes refer to this law loosely as action-reaction, where the force exerted is the action and the force experienced as a consequence is the reaction.
We can readily see Newton’s third law at work by taking a look at how people move about. Consider a swimmer pushing off from the side of a pool, as illustrated below.
A swimmer pushes on the wall with her feet, which causes the wall to push back on her feet due to Newton's third law."
Hope this helps ^_^ and have a great day
Which energy change is caused by an endothermic chemical reaction?
Endothermic reactions are chemical processes that generate products by absorbing heat energy from the environment around the reactants.
Provide four examples of what an exothermic reaction is.One of the greatest illustrations of an exothermic reaction is the exploding of a firecracker, which emits a loud bang along with light and heat. Lighting a candle is an ongoing process in which the wax serves as fuel and sustainably produces a flame.
What class 10 example does exothermic and endothermic provide?Exothermic reactions are those that release heat energy through chemical processes. C(g)+O2(g)+CO2(g)+Heat Energy is an example. Endothermic reactions are the ones that involve the absorption of heat energy. For instance, CaO+CO2Heat CaCO3.
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A car must cover a distance of 300 km in 3 hours. However, for the first 2
hours it only travels 150 km. At what speed must it travel for the rest of the
distance in order to complete the journey on time?
Answer:
150 km/h
Explanation:
After the first two hours, you have traveled 150km (given) which means that you still have 300km - 150km = 150km left to travel. Since you have already traveled 2 hours, that means you must travel the remaining 150km in 3hours - 2hours = 1hour. Assuming the answer is in km/hour, you will need to travel at a speed of 150km/1h = 150km/h for the remaining of the distance.
What is the potential energy of a 5.0 kg object located 3 m above the ground?
Answer:
147 J
Explanation:
PE = mgh = (5.0 kg)(9.8 m/s²)(3 m) = 147 J