a mass of 3 kg is hanging vertically with a spring, it is displaced into equilibrium into a value of 12cm. what will be the displacement of a 4kg object
Answers
The displacement of the 4 kg object is 0.16 m, or 16 cm.
To find the displacement of a 4 kg object, first need to determine the spring constant of the spring, can do this using Hooke's law:
F = -kx
where F is the force exerted by the spring, k is the spring constant, and x is the displacement from equilibrium.
That the 3 kg mass hanging from the spring is displaced 12 cm from equilibrium, so can calculate the spring constant:
F = mg = (3 kg)(9.81 m/s^2) = 29.43 N
k = F/x = 29.43 N / 0.12 m = 245.25 N/m
Now, use this spring constant to determine the displacement of the 4 kg object. Again using Hooke's law:
F = -kx
where F is the force exerted by the spring, k is the spring constant, and x is the displacement from equilibrium.
To find x, the displacement of the 4 kg object, that the force exerted by the spring will be the weight of the 4 kg object, so:
F = mg = (4 kg)(9.81 m/s^2) = 39.24 N
Now, can an plug in the values and solve for x:
39.24 N = -245.25 N/m * x
x = -39.24 N / -245.25 N/m = 0.16 m
Therefore, the displacement of the 4 kg object will be 0.16 m, or 16 cm.
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Related Questions
Question 3
How many miles was the Trail of Tears?
O 1,000
1,200
O 1,500
3,000
Answers
So there u go
Answer:
I think it is 1,200.
Explanation:
In the research I found, It says in a paragraph it is 1,200. I don't know if this is wrong or correct. I hope this helps!!!
A hockey player skates across a rink of length 75m in 8.9 seconds. What is the average speed of the hockey player? The hockey player is moving at a speed of 9.5 m/s. If it takes him 2 seconds to come to a stop under constant acceleration, how far does he travel while stopping?
Answers
The average velocity is given by
\(v=\frac{d}{t}\)Where d is the distance covered and t is the time taken.
For the given case, we have
d = 75 m
t = 8.9 s
\(v=\frac{d}{t}=\frac{75}{8.9}=8.43\; \frac{m}{s}\)Therefore, the average speed of the hockey player is 8.43 m/s
The hockey player is moving at a speed of 9.5 m/s.
a disk of mass m is placed on a frictionless table and attached to a vertically hanging mass m by a string that passes through a frictionless opening in the surface. the disk has a speed v as it travels in a circle with constant radius r. how much work is done on the disk in one half revolution?
Answers
A disk of mass m on a frictionless table is attached to a hanging cylinder of mass M by a cord through a hole in the table.
What is a disk of mass m on a frictionless table?Determine the speed at which the disk must move in a circle of radius r in order for the cylinder to remain at rest.
A frictionless horizontal table with a mass'm' attached to a string passing through a small hole in the surface. Initially, the mass moves with a speed of v 0 in a circle of radius r 0, and the free end of the string is held by a person.
Work done by centripetal force in half or quarter revolutions of a particle of mass m in a circular path of radius is also zero at any speed. As a result, the work done in the case of the moon rotating around the Earth is also zero.
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300 watts of power is produced over 15 seconds. How much work was done transferring the power?
Answers
Answer:
4500
Explanation:
Formula: power x time
300 x 15 = 4500
A 485 kg sphere sits at 14.0 km due north of an 852 kg sphere. What is the force of gravity on the first sphere
due to the second sphere? Compare this to the force of gravity on the second sphere due to the first sphere.
Answers
Answer:
Explanation:
The answer is b i just did it have a good day
A 485 kg sphere sits at 14.0 km due north of an 852 kg sphere. The force of gravity on the first sphere due to the second sphere is 1.41*\(10^{-13}\) N.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Given in the question a 485 kg sphere sits at 14.0 km due north of an 852 kg sphere,
F = Gm₁m₂/r²
Putting value of G = 6.6743 × 10-11 m³/ kg s²
we get force 1.41*\(10^{-13}\) N which is equal and opposite apply on both sphere.
A 485 kg sphere sits at 14.0 km due north of an 852 kg sphere. The force of gravity on the first sphere due to the second sphere is 1.41*\(10^{-13}\) N.
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a light source with a frequency of 1.8 x 1015 s-1 is introduced to a metal which has a work function of 5.9 x 10-19 j. how much energy does the exiting electron have?
Answers
The exiting electron has an energy of 6.03 x 10⁻¹⁹J
The photoelectric effect is the emission of electrons while electromagnetic radiation, which includes light, hits a material. Electrons emitted in this way are referred to as photoelectrons.
In keeping with the well-known Einstein explanation of the photoelectric impact: The electricity of the photon could be sum total of electricity needed to put off the electron and kinetic energy of the emitted electron. consequently h nu= W + E.
The photoelectric effect is the manner wherein the electricity from electromagnetic radiation, together with visible light, gamma radiation or different hits an atomic electron wherein the power of the radiation is transferred in its entirety to the electron causing the electron to be ejected from the atom.
Calculation:-
KE = hv - work function
= 6.626 × 10⁻³⁴ ×1.8 x 10¹⁵ - 5.9 x 10⁻¹⁹
= 11.93 x 10⁻¹⁹ - 5.9 x 10⁻¹⁹
= 6.03 x 10⁻¹⁹ J
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when the evaporation rate equals the condensation rate, the space above the liquid is
Answers
When the evaporation rate of a liquid is equal to its condensation rate, the space above the liquid is in a state of dynamic equilibrium.
This means that while molecules are constantly evaporating from the liquid surface and entering the space above, an equal number of molecules are condensing and returning to the liquid phase. The molecules in the space above the liquid are in constant motion, colliding with each other and the liquid surface.
This results in a stable vapor pressure, which is the pressure exerted by the gas molecules in the space above the liquid. The magnitude of the vapor pressure depends on the temperature and the properties of the liquid.
When the temperature increases, the evaporation rate increases, and the vapor pressure also increases until a new equilibrium is reached. Similarly, a decrease in temperature leads to a decrease in both the evaporation and condensation rates, resulting in a lower vapor pressure. Overall, the space above the liquid in equilibrium is characterized by a constant vapor pressure and a balance between the evaporation and condensation rates.
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the same ball is now projected horizontally from the same table with unknown initial velocity. what is the magnitude and direction of the acceleration of the ball just before it hits the floor? a) zero b) g, downward c) g, upward d) cannot be determined because the initial velocity is not specified 6. a projectile is launched with initial velocity of 20 m/s at 25 degrees above the horizontal. a. - find the x-component of the initial velocity: - find the y-component of the initial velocity: b. find the horizontal range if this is a level projectile. c. find the time of flight
Answers
The ball's acceleration shortly before it reaches the ground is zero in both magnitude and direction.
How can you calculate a projectile's beginning velocity?The ball's diameter, d, and the amount of time, t, it takes to cross the photogate can both be used to calculate the beginning horizontal velocity. Vo = d/t, then.
Why will two balls of differing masses be horizontally launched and arrive at the ground simultaneously?A missile moves independently in both the horizontal and vertical directions. Therefore, regardless of their horizontal velocities, two objects subject to gravity who descend from the same height will touch the earth simultaneously.
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Equal volumes of propane, C3H8, and carbon monoxide at the same temperature and pressure have the same: 1. Density 2. number of molecules 3. number of atoms A. 1 only B. 2 only C. 3 only D. 1 and 2 only E. 1, 2 and 3 only
Answers
In this statement of propane molecules answer is E - 1,2 and 3 only.
What is propane?
propane and carbon are the monoxide have differentions properties. They do not have- the same density or the ability to combust. And Propane has 11 atoms per the molecule and carbon to monoxide has only two.
Sol-Robert Rose hypothesis says that all gases will have the same number of molecules under the same conditions. Alejandro said that if all gases have the same volumes, they should have the same number of Molecules or moles. Boulding was directly proportional to the number of moles and the volume was proportional to the evolve mole.
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If we shake the branches of a tree, the fruits fall
Answers
Answer:
When a branch of a tree is shaken, some of the fruits may fall down. Why? Solution : The fruits fall down due to inertia of rest.
Answer:
I HOPE IT WILL HELP YOU A LOT....
Suppose the polar ice sheets broke free and quickly floated toward Earth's equator without melting. What would happen to the duration of the day on Earth? A) It will remain the same B) Days will become longer C) Days will become shorter
Answers
The duration of the day on Earth will become longer.
option B.
What will happen to the duration of Earth?If the polar ice sheets broke free and moved towards the Earth's equator without melting, it would cause a change in the distribution of the Earth's mass. This change in mass distribution would affect the Earth's rotation rate, and as a result, the duration of the day would be affected.
The polar ice sheets contain a significant amount of mass, and if they were to move towards the equator, this mass would be redistributed towards the equator. This would cause the Earth's rotation to slow down due to the conservation of angular momentum. As a result, the length of a day on Earth would become longer.
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can Somebody Explain Please
Introduction to Newton's law of gravitation
Answers
Answer: so basically, Newtons Law states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Explanation: newtons law simplified in my opinion is a physical law that describes the attraction between two objects with mass.
hope this helps.
Answer:
Explanation:
she rieat
Using the Routh table, tell how many poles of the following function are in the right half-plane, in the left half-plane, and on the j omega -axis. T(s) = s + 8/s^5 - s^4 + 3s^3 - 3s^2 + 3s - 2
Answers
The number of poles in the right half-plane is 1, the number of poles in the left half-plane is 2, and the number of poles on the j omega-axis is 1.
To construct the Routh table, we first need to write the characteristic equation of the transfer function T(s) in the following form:
s^5 - s^4 + 3s^3 - 3s^2 + 3s - 2 + 8/s = 0
The Routh table has the following form:
s^5 coefficient: 1 3 3
s^4 coefficient: -1 -3 8/3
s^3 coefficient: 2 2
s^2 coefficient: -2 -8/3
s^1 coefficient: 1
s^0 coefficient: -2/3
To determine the number of poles in the right half-plane, we need to count the number of sign changes in the first column of the Routh table. In this case, there is only one sign change, so there is only one pole in the right half-plane.
To determine the number of poles in the left half-plane, we need to count the number of sign changes in the first column of the Routh table, starting from the top row and moving downwards. In this case, there are two sign changes, so there are two poles in the left half-plane.
To determine the number of poles on the j omega-axis, we need to count the number of rows in the Routh table that has a zero in the first column. In this case, there is one row with a zero in the first column, so there is one pole on the j omega-axis.
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What are physical characteristics of roundworms? Hint: There are two stages of reproduction.
Answers
Answer:
Roundworms:
The size of roundworms ranges from microscopic to as long as a meter long. Most roundworms have a hard, sharp lance on their head, and some have bristles on the head. Most of the roundworms are protected by an adaptable yet solid, furrowed body covering.
Roundworms are very primitive living beings, having no respiratory or circulatory system of a host. They have an empty body with two openings at the closures. Be that as it may, the head isn't particular or recognizable to the unaided eye.
Roundworms reproduce sexually and can finish their life cycle in immature puppies, however as the little pupps immunity system develops (for the most part by a half-year-old enough), the larval phases of the roundworm will become captured and will encyst (become encased in a sore) in the puppy's muscles. They can stay encysted in the pooch's tissues for a considerable length of time or years.
A car goes 15 miles at 45mph, then goes another 15 miles at 30mph. a. How long does the trip take? b. What is the average speed for the whole trip?
Answers
The trip takes a total of 1.5 hours and has an average speed of 40 mph.
To calculate the time taken for each leg of the trip, we can use the formula time = distance/speed.
For the first leg of the trip, the car travels 15 miles at a speed of 45 mph. Using the formula, we find that the time taken for this leg is 15/45 = 0.33 hours.
For the second leg of the trip, the car travels another 15 miles but at a speed of 30 mph. Using the formula, we find that the time taken for this leg is 15/30 = 0.5 hours.
To find the total time for the trip, we add the times for each leg: 0.33 hours + 0.5 hours = 0.83 hours.
To calculate the average speed for the entire trip, we use the formula average speed = total distance/total time. The total distance traveled is 15 miles + 15 miles = 30 miles. The total time taken is 0.83 hours. Plugging these values into the formula, we find that the average speed for the trip is 30/0.83 = 36.14 mph.
Therefore, the trip takes a total of 1.5 hours and has an average speed of 40 mph.
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Put it in order. Please help its due in a hour
Answers
Answer:
the answer is 2,3,1 then 4 my bio teacher said this was correct
Explanation:
A student performed an investigation into the refraction of light in a transparent material.
The results are shown below:
The angle of refraction of the refracted ray through the material shown is 32o .
Use this information to calculate the critical angle of the transparent material
Answers
The critical angle of the transparent material is 35.3 degrees.
What is the critical angle?The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:
sin(critical angle) = sin(90 degrees) / sin(angle of refraction)
sin(critical angle) = 1 / sin(32 degrees)
sin(critical angle) = 0.574
critical angle = arcsin(0.574)
critical angle = 35.3 degrees
Therefore, the critical angle of the transparent material is 35.3 degrees.
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a ball player catches a ball 3.40 ss after throwing it vertically upward. part a with what speed did he throw it?
Answers
The speed of the ball that the ball player throw is 16.66 m/s.
The ball player throws a ball vertically upward and then catches the ball. It means, the ball doing vertical motion travel upward to the highest point and then goes down until the ball player catches it. The trajectory of the ball as it goes up is symmetrical to the trajectory of the ball as it goes down.
The time to travel upward is equal to the time to travel downwardt₁ = t₂Travel time = t = 3.40 s
travel time = travel time upward + travel time downward
t = t₁ + t₂
3.40 = t₁ + t₁
3.40 = 2t₁
t₁ = 3.40 ÷ 2
t₁ = 1.70 s
When the ball travels upward, non-uniform motion applies
v₂ = v₁ + at
a = the accelerationa = - g because it is against the acceleration due to gravity (g)
a = - 9.8 m/s²t = travel time
t = t₁ = 1.70 sv₁ = initial speed
The speed when the ball player throws the ball.v₂ = the final speed
At the highest point, the speed equals zero. Because the ball will be at rest and then moving downward.
v₂ = 0
v₂ = v₁ + at₁
0 = v₁ + (- 9.8 × 1.70)
0 = v₁ - 16.66
v₁ = 16.66 m/s
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1. Two stars with similar temperatures but different sizes will have a. similar spectral types but different luminosities. b. similar luminosities but different brightnesses. c. similar brightnesses but different distances. d. similar distances but different masses. e similar masses but different spectral types
Answers
The correct answer is: a. Similar spectral types but different luminosities.
The spectral type of a star is primarily determined by its surface temperature. If two stars have similar temperatures, they will have similar spectral types because the spectral type is a classification based on temperature.
However, the luminosity of a star is related to its size or surface area. Larger stars have a greater surface area and, therefore, higher luminosities compared to smaller stars of the same temperature. Luminosity is the total amount of energy radiated by a star per unit time. Thus, stars with similar temperatures but different sizes will have different luminosities.
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How is fishpond raising affected by global climate change?
Answers
Answer:
It creates bad air so that’s like air pollution I guess
Explanation:
Pushing a baby on a swing is easier than pushing an adult on the same swing.
Water spills from a glass carried by someone who is walking steadily and suddenly stops short.
When thrown with the same force, a soccer ball accelerates more than a bowling ball.
A magician pulls a tablecloth out from under a dish on a table without disturbing the dish.
A rocket launches into space, pushing fuel exhaust in one direction and the rocket in the opposite direction.
A book rests on top of a shelf and does not move until a student accidentally knocks it off.
Answers
Answer:
Law 2:
Pushing a baby on a swing is easier than pushing an adult on the same swing. Water spills from a glass carried by someone who is walking steadily and suddenly stops short.
Law 2:
When thrown with the same force, a soccer ball accelerates more than a bowling ball.
Law 1:
A magician pulls a tablecloth out from under a dish on a table without disturbing the dish.
Law 3:
A rocket launches into space, pushing fuel exhaust in one direction and the rocket in the opposite direction.
Law 1:
A book rests on top of a shelf and does not move until a student accidentally knocks it off.
Explanation:
Newton's laws of motion:
Law 1: Law of inertia
Law 2: Law of force (F = mass x acceleration)
Law 3: Law of Action & Reaction
The laws followed by the given situations are Newton's law of force, Law of inertia and Newton's third law.
What is meant by inertia ?Inertia is defined as the tendency of an object to continue its state of rest or motion.
Here,
Considering the situations given,
1. Pushing a baby on a swing is easier than pushing an adult on the same swing.
This is because, the mass of the baby is lesser than that of the adult. So, according to Newton's force equation,
Force, F = ma
Therefore to push a body with more mass, more force should be applied.
Another situation that follows this law from the given situations is:
When thrown with the same force, a soccer ball accelerates more than a bowling ball.
2. Water spills from a glass carried by someone who is walking steadily and suddenly stops short.
This is due to the inertia of the water in the glass. This can be explained by law of inertia.
Another situation that follows this law from the given situations is:
A magician pulls a tablecloth out from under a dish on a table without disturbing the dish.
A book rests on top of a shelf and does not move until a student accidentally knocks it off.
3. A rocket launches into space, pushing fuel exhaust in one direction and the rocket in the opposite direction.
This is according to Newton's third law of motion. The law of action and reaction.
Hence,
The laws followed by the given situations are Newton's law of force, Law of inertia and Newton's third law.
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if an object moves with unchanging velocity, does this mean that no forces are acting on the object?
Answers
Answer:
F = M a and a = (V2 - V1) / t
If a equals zero (constant velocity) then no external forces are present
A player kicks a football from ground level with a velocity of
magnitude 27.0 m/s at an angle of 30° above the horizontal.
What is the horizontal distance the ball travels?
(hint: d= 1/2 at^2)
Answers
Answer:
37.33m
Explanation:
To calculate the distance using d= 1/2 at², the time taken for this projectile object (ball) must be calculated.
Time of a projectile = 2u sinθ/ g
Where u = velocity = 27m/s
g = 9.8m/s²
θ = 30°
T = 2usinθ/ g
T = 2 × 27 × sin 30°/9.8
T = 54sin30°/9.8
T = 27/9.8
T = 2.755
T = 2.76s
If the time taken for the ball to move is 2.76s, the distance travelled is:
D = 1/2at²
D = 1/2 × 9.8 × 2.76²
D = 1/2 × 9.8 × 7.6176
D = 74.65248/2
D = 37.33m
The horizontal distance the ball travels is 37.33m
The horizontal distance travel by ball is 37.32 meters.
First we have to calculate time of projectile,
\(Time=\frac{2usin\theta}{g}\)
Where g is acceleration due to gravity and u is velocity.
Given that, \(u=27m/s, \theta=30\)
Substitute values in above relation.
\(Time=\frac{2*27*sin30}{9.8}=\frac{2*27*0.5}{9.8}=2.76s\)
The horizontal distance is given by,
\(d=\frac{1}{2}gt^{2}\\ \\ d=\frac{1}{2}*9.8*(2.76)^{2} \\\\d=37.32m\)
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2. Which best represents a physical property of a
substance?
A. Acids act as a corrosive to metal.
B. Gold has a density of 19.3 g/cm3.
C. Sodium combines with chlorine to create
sodium chloride.
D. Hydrochloric acid reacts with zinc metal,
creating hydrogen gas.
Answers
Two parallel plates have an area of0.188 m². How much charge must youplace on them to create a 37000 N/Cfield between the plates?[?]. 10⁰¹ C
Answers
Given:
The area of the plate is: A = 0.188 m²
The field produced between the plates is: E = 37000 N/C
To find:
The charge to be placed on the plates.
Explanation:
The electric field produced between two parallel plates is given as:
\(E=\frac{Q}{A\epsilon_0}\)Here, Q is the charge on the parallel plates and ε₀ is the permittivity of free space having a value of 8.85 × 10⁻¹² C²/N.m²
Rearranging the above equation, we get:
\(Q=EA\epsilon_0\)Substituting the values in the above equation, we get:
\(\begin{gathered} Q=37000\text{ N/C}\times0.188\text{ m}^2\times8.85\times10^{-12}\text{ C}^2\text{/N.m}^2 \\ \\ Q=6.156\times10^{-8}\text{ C} \end{gathered}\)Final answer:
The amount of charge to be placed on parallel plates is 6.156 × 10⁻⁸ C.
what is artificial selection? How has artificial selection affected dogs and plants?
Answers
Answer:
Artificial selection is the identification by humans of desirable traits in plants and animals, and the steps taken to enhance and perpetuate those traits in future generations.
Explanation:
Hope this helps bro
Help!!! If you cannot type in the box, dont answer.
Answers
Exp: because I just can
Answer: lollllllllllllllllllllll
Explanation:
Types of Spectra 5) Stars like our Sun have low-density, gaseous atmospheres surrounding their hot, dense cores. If you were looking at the spectra of light coming from the Sun (or any star), which of the three types of spectrum would be observed? Explain your reasoning.
Answers
The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.
In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.
The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.
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A single self-energizing long shoe drum shoe uses a molded lining of friction coefficient 0.45 and maximum allowable pressure of 150 psi as the friction material. If the angle subtended by the shoe is 120°, with θ1 = 0, find the face width required for the shoe to stop a torque of 3800 lb.in. The drum diameter is 12-in.
Answers
Answer:
A = 10.83 in² , w = 3.29 in
Explanation:
For this exercise we must use the rotational equilibrium condition
Σ τ = 0
in this case they give us the external torque τ = 3800 lb in.
τ - τ’= 0
τ = τ'
where τ‘ is the torque exerted by the brake shoe that is given by the friction force
τ’ = fr r sin θ
indicates that θ= 120º and the radius is half the diameter of the drum
r = 6 in
the friction force is given by the expression
fr = μ N
substitute
τ = μ N r sin θ (1)
to find the normal let's use Newton's second law on the perpendicular pressure axis
Σ F = 0
N - f = 0
N = f
The applied force can be found using the definition of pressure
P = f / A
where A is the area of the footing
f = P A
let's substitute
N = P A
let's substitute in 1
τ = μ P A r sin θ
\(A= \frac{\tau }{\mu \ P \ r \ sin\ \theta }\)
let's calculate
A = 3800 / (0.45 150 6 sin 120)
A = 10.83 in²
to find the size of the shoe we must assume a specific shape, suppose the shoe is square
A =w²
w = √A
w = 3.29 in
Momentum is a quantity that we say is typically _______________ in collisions.
A. Conserved
B. Lost
C. Disappeared
D. Gained
Answers
Momentum is a quantity that we can say is typically conserved in collisions.
Momentum is the quantity that that we see typically conserve in the collision,therefore the correct answer is the option A
What is elastic collision?
It is the type of collision in which the total momentum as well as the kinetic energy on the system is conserved .The momentum before the collision is equal to the momentum after the collision in other words one can say in the elastic collision momentum of the quantity is conserved.
In the inelastic collision the momentum is conserved but the kinetic energy of the quantity is not conserved.
Momentum of a quantity is conserved irrespective of the type of collision whether it will be elastic collision or inelastic collision the momentum of the quantity will always be conserved.
Hence,we can say that momentum is the quantity that is conserved in collision,The correct answer for the given problem is option A.
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