The velocity of fragment 2 is equal to 0.88 m/s at 31°.
What is law of conservation of linear momentum?From the law of conservation of momentum, the sum of the momentum before and after the collision must be equal.
m₁ u₁ + m₂.u₂ = m₁ v₁ + m₂.v₂
where m₁ & m₂ is the mass of the collided objects, u₁ & u₂ are their initial speed while v₁ & v₂ is their final speed.
Given, the mass of the spring, m = 1.2 kg
The speed of the spring, v = 0.50 m/s
The mass of the first fragment, m₁ = 0.4 kg
The initial speed of fragment 1, u₁ = 0.9 m/s
The mass of the fragment, m₂ = 1.2 - 0.4 = 0.8 kg
In x-direction: [tex]mucos\theta = m_1v_1 cos\theta + m_2 v_2 cos\theta[/tex]
1.2 ×0.5 ×cos(0) = 0 + 0.8× v₂ cosθ
v₂ cosθ = 0.75
In y-direction: 12 (0) = -0.4(0.9) + 0.8 v₂ sinθ
v₂ sinθ = 0.45
Now, [tex]\displaystyle \frac{v_2sin\theta}{v_2cos\theta} =\frac{0.45}{0.75}[/tex]
tanθ = 0.6
θ = 31°
The value of the velocity of the fragment can be calculated as;
v₂ sinθ = 0.45
v₂ sin31 = 0.45
v₂ = 0.88 m/s
Thus, the magnitude of the velocity of fragment 2 is 0.88 m/s at 31⁰.
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when an apple is resting on top of a table, how many force pairs (number of pairs not individual forces)act on the apple?
The draw of the earth on the apple and the pull of the apple on the earth are forces operating in pairs (number of pairs, not individual forces).
What forces are at work while something is at rest?Since there is no net force acting on the item while it is resting , the downward force (weight) must counterbalance the force acting upward (normal force). Weight travels downhill, therefore it is always negative. For an item to be at rest, all of the forces must be equal to 0.
Can an object at rest be affected by a force?According to Newton's first rule, in order to have no net force exerted on an object, it must be at rest. Because if there is a total force acting on the object, it will change velocity. It will accelerate.
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calculate the angle at which a-wideslit produces its first minimum for 410-nmviolet light. (b) where is the first minimum for700-nm red light?
The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.
Why would someone utilize violet light?The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.
d
sin
θ
=
n
λ
2
(
sin
θ
)
=
(
1
)
(
410
×
10
−
9
)
sin
θ
=
410
×
10
−
9
2
=
2.05
×
10
−
7
θ
=
sin
−
1
(
2.05
×
10
−
7
)
=
1.17
×
10
−
5
Thus the angle is
1.17
×
10
−
5
.
(b.)
Given data
The width of slit is
d
=
2.00
m
.
The number of minimum is
n
=
1.
The wavelength is, \lambda =700 nm
Why does violet light exist?The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.
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a 23-month-old child pulls a pan of hot water off the stove and spills it onto her chest and arms. her mother is right there when it happens. what should the mother do immediately?
When it happens mother should have to do cool the burn with tap water for 10 to 20 minutes immediately.
What are the steps to give first aid to a person with a large burn?Stop the burning process. Cool the burn. Supply pain relief.
Before the arrival of qualified emergency help, you should:
Remove restrictive items such as rings, watches, and bracelets.Use a fresh, cool bandage that is moist to cover the burnt area.Raise your hand so that it is higher than your heart.Is burning from boiling water serious?Pain and skin injury from wet heat or vapors can result from hot water scalding. Because the damaged tissues and cells are destroyed, this kind of burn can be deadly. The heat could even cause your body to go into shock. These burns can be fatal in more severe circumstances.
What should I do right away if I am burned?Cool the burn.
Place the affected area under cool (not cold) flowing water for about 10 minutes. Until the pain goes away, apply a cool, wet cloth to the burned area of the face. If you have a mouth burn from hot food or drink, place a piece of ice in your mouth for a while.
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If E.M radiation has a frequency of 58,000,000 Hz, what is the wavelength?
Please include a formula to solve this!
5.16883548 m is the wavelength, if E.M radiation has a frequency of 58,000,000 Hz.
What is the relationship between frequency and wavelength ?When it comes to waves that are travelling, the frequency of a wave is associated with its wavelength and rate of motion. The number of full wave cycles that will finish in 1 second is larger for a quicker wave than for a slower wave. As a result, a wave's velocity plays a critical role in establishing its frequency.It's crucial to remember that two waves might have the same frequency even when their wavelengths are different. Assume Wave 1 has a wavelength of 1 cm, and Wave 2 has a wavelength of 2 cm. Wave 2 must move at a pace that is twice as fast as Wave 1 in order to have the same frequency. Formula of wavelength , λ = C/fGiven data :
Formula:
λ = C/f
Where,
λ (Lambda) = Wavelength in meters
c = Speed of Light (299,792,458 m/s)
f = Frequency
λ = 58,000,000 / 299,792,458 = 5.16883548
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which has the greatest inertia
A. Jumbo Jet
B. Bird
C. Car
Answer:C car
Explanation:
Visible light has a higher frequency than radio waves on the electromagnetic spectrum. How does the wavelength of visible light compare to radio waves?.
The wavelength of visible light compare to radio waves in the sense that visible light waves have a shorter wavelength than radio waves.
What is wavelength?The wavelength is described as the spatial period of a periodic wave which is the distance over which the wave's shape repeats.
Radio waves are electromagnetic waves that are produced by man with an oscillating circuit.
Radio waves are used in broadcasting, the waves used in television are those of shorter wavelength and those of radio are those of longer wavelength.
Longer radions are reflected in the ionosphere and can be detected in antennas which is located at great distances from the emitting source. The medium waves are less reflected in the ionosphere, due to their large wavelength they can overcome obstacles, so they can travel great distances.
It is known that the visible radiation waves have a wavelength between approximately 400 and 700 nanometers, the radio waves range from 1 centimeter to 1 km, so they have longer wavelengths than the waves belonging to the visible spectrum.
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a) what are the s and n axes on an s-n diagram, and what does the region to the left and below the plotted line indicate?
N is the total number of full load cycles, and S is the stress change. The area to the left and below the line represents cyclic stress and cycle count combinations for which no fatigue failure is anticipated to happen.
What do you mean by cyclic stress?The distribution of forces, often known as stresses, under cyclic stress changes repeatedly throughout time. Imagine one of the huge wheels that propels an aerial lift, like a ski lift, as an illustration.
How do you define a cyclic stress-strain curve?The plot of every one of these numbers is known as the cyclic stress-strain curve. Following plastic deformation, the material behaves as described by the curve. Typically, this activity differs from the initial action that is assessed in a conventional tensile test.
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the amplitude of a lightly damped oscillator decreases by 3.72% during each cycle. what percentage of the mechanical energy of the oscillator is lost in each cycle?
The mechanical energy of the oscillator is lost in each cycle is 7.44%.
What is mechanical energy?Mechanical energy- (Kinetic energy or potential energy-) is the energy- of either an objective in motions or the energy that is stored in objects by their position. Mechanical energy is also a driver of renewables to energy. Many forms of the renewable energy relying on Mechanical energy to be the adequately produced power or converted energy.
Since the energy is proportional to the amplitudes squared,then we found the fractional changes (assumed small) is,
EE ,−E≈ E
dE=xm2dx
m2=xm2
2xmdxm=2x
mdx.m
Thus, if we approximately the fractional changes in x
mas x mdx m
then the above-mentioned calculations of shows that multiplying by this by 2 should be give them fractional energy- change. Therefore, if x
m decreases by 3.72%, then E must decreased by 7.44%.
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what is the effective spring constant k of the two-spring system? express the effective spring constant in terms of k 1 and k 2 .
The Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex] for a system of 2 springs with spring constant k1 and k2.
What is Spring Constant ?The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.
Spring constants are available in plural (physics) a quality of a spring that is determined by the force acting on the spring to the displacement it produces.
K stands for the proportionality constant, commonly referred to as the "spring constant." In layman's words, stiffness and strength are shown by the k variable in Hooke's law (F = -kx). An item requires more force to be stretched to a specific length the greater the value of k.
Let the force actiong be F N
then , if k1 is the spring constant of spring 1
F = x1 * k1
or, x1 = F/k1.
Similarly for spring 2
x2 = F/k2
Now x1 + x2 = F (1/k1 + 1/k2)
or effective displacement
X= [tex]F(\frac{1}{k1} + \frac{1}{k2} )[/tex]
or, F = [tex]X * (\frac{k1k2}{k1 + k2} )[/tex]
So the Effective Spring Constant is [tex](\frac{k1k2}{k1 + k2} )[/tex].
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if it requires energy u to accelerate a rocket fro rest to 1/2c the energy needed to acclerate a rocket from 1/2 c to c would be
The energy needed to accelerate a rocket from 1/2 c to c would be 3 times of U if it require U to accelerate from rest to 1/2c.
Now,we know that kinetic energy of rocket is given by =(1/2)mv² where m is the mass of the rocket and v is the velocity of rocket.
According to work-energy theorem,we know that work done=change in kinetic energy of the body.
Here,we have initial velocity of rocket is =0,and final velocity of rocket =1/2c
So,Work done=(1/2) ×m×(1/2)c² - 0²
=>U=(1 / 4) ×(1/2)×m×c²-------(eq1)
Now,we need to find the required amount of kinetic to accelerate it from 1/2c to c
So, required kinetic energy is Work done=(1/2)mc² - (1/2)×m×(1/2)c²
=>Required kinetic energy=(1/2×m×c²) × (1-1/4)
=>Required kinetic energy=(3/4)×(1/2×m×c²)
=>Required kinetic energy=(3)×((1 / 4) ×(1/2)×m×c²)
=>Required kinetic energy=3 ×times of U(from eq1)
Hence,kinetic energy required is 3 times of U.
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what is the relathion shop between perriod and frequency
Frequency is inversely proportional to the time period. That is, f = 1/T.
What is frequency?This refers to the number of waves that passes a fixed place in a given amount of time. Frequency is measured in hertz, this is equal to one event per second.
What is period, T ?
This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.
Note: AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.
Mathematically :
f = 1/T
T =Total time,Period
f = Frequency
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a student needs to find the mass of an atom. the numbers of which atomic particles determines the mass of the atom?
Answer:
Together, the number of protons and the number of neutrons determine an element's mass number: mass number = protons + neutrons. If you want to calculate how many neutrons an atom has, you can simply subtract the number of protons, or atomic number, from the mass number.
Explanation:
Assuming Birdman flies at a speed
of 35 m/s, how high should Birdman
fly to hit the bucket if the bucket is
placed 147 m from the start of the
field?
The birdman needs to soar 86.43m in the air to hit the bucket.
How can I calculate the horizontal speed?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.
Time of motion of the birdman
The duration of the birdman's motion is the amount of time it takes for him to soar to his highest point.
R = Vₓt
where;
R is the birdman's motion's range or his horizontal distance.
Time of motion is t.
The horizontal speed is Vx.
t = R/Vₓ
t = 147/ 35
t = 4.2 seconds
Maximum height the missile has climbed
h = ¹/₂gt²
where;
The birdman's height is measured in h.
Gravitational acceleration, or g,
h = ¹/₂(9.8)(4.2)²
h = 86.43 m
The birdman must therefore fly to a height of 86.43m in order to hit the bucket.
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calculate the acceleration of a 250000- kgkg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn .
0.32 m/s² the acceleration of a 250000 kg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn.
What is a acceleration explain?Acceleration the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed remains constant, motion on a circle accelerates because the directions is always shifting. Due to the fact that it includes both magnitude and direction, velocity is a quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
Briefing:The formula may be used to determine an object's acceleration given its mass and the force acting on it.
a= f/m
f is the force
m is the mass
a = 80000 / 250000
a = 0.32 m/s²
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the law of conservation of energy cannot be created nor destroyed, it can only change form. if this is the case, why are we worried about energy sources in our world?
Energy cannot be generated or destroyed; it can only be changed from one form of energy to another, according to the rule of conservation of energy. This implies that a system always possesses the same amount of energy, barring external energy addition.
In the event that energy cannot be generated or destroyed, why is there a crisis?According to the rule of conservation of energy, energy cannot be generated or destroyed. It can only be changed from one form to another, though. It is simply changed from a form that we can use to one that is less useful. Energy problem as a result of this
Energy efficiency is necessary to save expenses and extend the life of the resources.
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What is the acceleration of a car slowing from 12 m/s to a stop in 15 s?
Type a response (show work please)
Answer:
To find the acceleration of a car slowing from 12 m/s to a stop in 15 seconds, we can use the formula a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time. In this case, the initial velocity is 12 m/s, the final velocity is 0 m/s (since the car is coming to a stop), and the time is 15 seconds. Plugging these values into the formula, we get a = (0 - 12) / 15 = -0.8 m/s^2. This means that the car is slowing down at a rate of 0.8 meters per second squared.
A train is travelling along its railroad tracks. It slows down, goes around a turn, speeds back up, coasts at a constant velocity for awhile, then slows down again.
How many times did the train accelerate?
Responses
1
2
3
4A train is travelling along its railroad tracks. It slows down, goes around a turn, speeds back up, coasts at a constant velocity for awhile, then slows down again.
How many times did the train accelerate?
Responses
1
2
3
4
The number of times the train accelerated is 3 times.
option 3 is the correct answer.
How many times did the train accelerate?
The number of times the train accelerates in the given scenario depends on the speed or velocity of the train at every given time.
a = Δv / Δt
where;
Δv is change in velocity of the trainΔt is the change in time of motionFrom the formula given above, the train will only accelerate whenever there is a change in the velocity of the train. If the velocity of the train is constant, then the acceleration of the train will be zero.
The number of acceleration of the train in the given scenario is determined as follows;
when the train slows downspeeds back upthen slows down againThus, from the illustration given above, the train change its speed three times and accelerated in those situation.
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Hot water is poured into a mug and the mug gets hot. This is an example of which type of energy transfer?
A) Radiation
B) Conduction
C) Convection
D) This is not an energy transfer
Answer:
conduction i think
Explanation:
Answer:Conduction
Explanation:
Instructions: Answer the following questions in the space provided. Be sure to write your responses in complete sentences.
A father pushes his daughter and son on a sled down a hill.
Part A: Other than the force exerted by the father pushing the sled, identify two additional forces that act on the sled as it travels from the top of the hill to the bottom. (2 pts)
Part B: Explain how each force you identified in Part A will affect the motion of the sled. (2 pts)
(A) The two additional forces that act on the sled as it travels from the top of the hill to the bottom are friction force and weight of the children.
(B) The force of friction is opposing the motion while the weight of the children is assisting the downward motion.
What are the forces exerted on the sled?
The forces that act on the sled as it travels from the top of the hill to the bottom with either aid the downward motion or oppose the downward motion.
The forces acting on the sled include the following;
the force applied by the fatherthe weight of the children acting normal to the surface of the sledthe force of friction acting upwards to oppose the downward motionThe weight of the children is acting downwards and it will increase the motion downwards since there in the same direction.
The force of friction between the surface of the sled and the hill will oppose the downward motion of the children as the father exerts the downward force.
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a pen placed 25cm from a concave spherical mirror produces a real image 20cm from the mirror. what is the focal length of the mirror
The focal length of the mirror is 50cm.
What is the focal length of the mirror?This refers to the distance from the lens or mirror to the focal point(F). It is measured in centimeters, cm or meters,m.
Formula for calculating the focal length of the mirror:
f = R * 2
Where,
f = focal length
R = the radius of curvature
What is a focal point (F)?
This refers to the point where by rays or waves meet after reflection or refraction, or the point from which diverging rays or waves appear to proceed.
In the question:
R = 25cm
f = R * 2
Substituting the values we have:
f = 25cm* 2
f = 50cm
Hence, the focal length of the mirror is 50cm.
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Which of the following identifies a treatment method developed after the discovery of germ theory?
O Perform a bloodletting procedure.
O Recommend frequent hand washing.
O Induce the patient to vomit.
O Treat the infection with an antibiotic.
Recommend frequent hand washing are the treatment method developed after the discovery of germ theory.
What is the importance and benefits of proper handwashing?Handwashing reduces the spread of contagious diseases: Contaminated hands can transmit a variety of contagious illnesses from one person to another. These illnesses include respiratory infections like the flu, colds, and coronavirus (COVID-19), as well as gastrointestinal infections like salmonellosis.The simplest and most reliable approach we all have to stop the transmission of illnesses spread through touch is to practise good hygiene. Our hands are home to more than 150 different types of germs. Additionally, compared to men, women's hands often have more germs on them.Thus, eliminating germs by handwashing aids in the prevention of diarrhoea, respiratory infections, and maybe even skin and eye diseases.Learn more about steps of proper handwashing refer to :
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a typical tendon has a strength of 16000 pounds per square inch (psi). let's assume the achilles tendon is roughly rectangular in cross section with dimension of .4 inches x .2 inches. you can use this to calculate the force at which the achilles tendon will start to fail. at what force might the achilles tendon start to fail (in pounds, lb)?
An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.
How does science define force?That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.
Inertia or a force?Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.
Briefing:Area of tendon 0.4×0.2
=0.08 square inch.
0.08 square inch tendon =16000×0.08
F =1280 pound.
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A 30.0-kg load is being held in place using massless wires in the ideal pulley arrangement shown in the figure. What is the magnitude of the force F?
A very light wire is used to hang a series of 8.0-kg bricks. This wire will break if the tension in it exceeds 450 N. The bricks are hung one below the other from a hook in the ceiling using this wire, as shown in the figure.
(a) How many whole bricks can be hung without breaking the wire?
(b) If you add one more brick to the number found in part (a), which string will break?
multiple choice
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.
12). When you move your hand or foot, your body has converted potential energy into kinetic energy.
13). When coasting while roller skating, you eventually stop due to
friction causes kinetic energy to transfer to thermal energy.
14). A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is Kinetic increases, potential decreases.
What is kinetic energy, and how is it used?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all examples of objects in motion that use kinetic energy.
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how much energy (in j) must the shock absorbers of a 1180 kg car dissipate in order to damp a bounce that initially has a velocity of 0.760 m/s at the equilibrium position? assume the car returns to its original vertical position.
Since linear momentum equals m v, it varies at each bounce by the same amount, r = R. For instance, if a ball bounces eighty percent of its height each time, it loses twenty percent of its energy each time.
What is the equation for energy acquired or lost?An object's heat uptake or loss and the consequent temperature variations are related by the description above and the following equation (Q = m•C•T).
We now know that heat can occasionally be acquired or lost without a corresponding change in temperature. When the material is changing states, this is what happens.
The mass and speed of an item moving determine how much kinetic energy it has.
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a btu is defined as the amount of energy required to raise the temperature of one lb of water by one degree celsius group of answer choices true false
A BTU is defined as the amount of energy required to raise the temperature of one lb of water by one-degree celsius is False.
A British thermal unit is a measure of the amount of heat in a fuel or energy source. This is the amount of heat required to raise the temperature of 1 pound of liquid water by 1 degree Fahrenheit, the temperature at which water reaches its maximum density.
BTU is the amount of energy required to raise the temperature of 1 pound of water to 1 degree Fahrenheit above sea level. Technically, this measurement refers to the amount of energy required for this process when water is at its maximum density.
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two parakeets sit on a swing with their combined center of mass 16.0 cm below the pivot. at what frequency (in hz) do they swing?
The two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
How to calculate frequency of swing?Given the data in the question
Length of pendulum; L=16.0cm =0.16m
Frequency; f=
Using the simple pendulum equation of time:
T2π = √L/9 -------let this be equation 1
Where T is the period of time, L is the length of the pendulum and g is the acceleration due to gravity(9.8m/s² ).
Also formula for Frequency:
f=1/T ------------let this be equation 2
Lets substitute equation 1 into equation 2
f = 1/2π√L/9
f = 1/2π√9/L
We substitute or values into the equation
f=1/2π√[9.8/0.16]
f=1/2π√[57.647-2]
f=1/2π*7.59256s
f=1.21 hZ
Therefore, the two parakeets sitting on the swing with a combined center of mass 16.0 cm below the pivot swings with a frequency of 1.21Hz.
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using your data, how are you able to determine if conservation of momentum occurs in each collision?
Momentum is conserved if the relative velocities before and after the impact are equal.
What does force momentum mean?In most cases, momentum is the quantity that describes the internal motion of any moving object. Force, on the other hand, is the quantity that modifies the degree of action existing when applied to any object. Momentum is the amount of energy contained within a moving item.
What does momentum within daily life actually mean?Momentum is the amount of motion, to put it simply. Quantity may be assessed in this scenario because if an object is moving and has mass, it has momentum. If something is stationary, it doesn't have momentum.
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if a planetary body (such as a rocky body bigger than about 400 km diameter) is big enough, it will be spherical. why is this:
The larger objects are rounded essentially comes down to gravity. The gravitational pull of an object will always be directed toward its mass centre. The more massive and gravitational attraction something has, the bigger it is.
The strength of the object itself opposes such force for solid objects. For instance, you are not drawn into the centre of the Earth by the downward force of gravity. The reason for this is that the ground is pushing back up at you; it is too strong to allow you to sink through it. The power of Earth has its limits, though. Imagine a massive mountain, like Mount Everest, becoming bigger and bigger as the planet's plates collide. Everest starts to sink as it gets taller due to its weight increasing. The mountain's height will be constrained as a result of the additional weight forcing it deeper into the Earth's mantle.
Hence, planets moves in fixed orbits.
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a runner has a mass of 89 kilograms. he produces a force of 84 newtons between the ground and his running shoes. how fast does he accelerate?
