The force constant k of the spring is 781000 N/m
What is force?
Once applied, force is described as an external cause that alters or tends to modify the state of the body; if the body is in motion, it comes to rest, and if at rest, it comes to motion. It can also induce a shift in the body's direction, shape, or size. Pushing or pulling a door with force is an example.
Because force is a vector quantity, it has both magnitude and direction. Newton's second law defines force as the "product of a body's mass and acceleration."
In physics, a force is an effect that can change the velocity of an object. A force can cause a mass object's velocity to change (e.g., moving from rest), causing it to accelerate. Force can be thought of as either a push or a pull. Because it has both magnitude and direction, force is a vector quantity. It is measured in newtons, the SI mass unit (N). The letter F stands for force (formerly P).
In its original form, Newton's second law states that the net force acting on an object is equal to the rate at which its momentum varies with time.
Here,
let the force constant is k
Using conservation of energy
0.50 * 5 *10^5 * 0.50^2 = 0.50 * k * 0.40^2
solving for k
k = 781000 N/m
The force constant k of the spring is 781000 N/m
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given a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of:
Using the concepts of moment of inertia, we got that moment of inertia increases by 4 times for all round object (sphere, disk, hoop for example) on doubling only the radius.
We know very well that, moment of inertia of the following object are
Moment of inertia of sphere=(2/5)mr²,Moment of inertia of disk =(1/2)mr²Moment of inertia of hoop =mr²where m is the mass of the object and r is the radius of the object.
We see that moment of inertia is directly proportional to the radius of the object.
It means when we double the radius, then moment of inertia increases by 4 times of its previous value.
Hence, a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of 4 times.
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if there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3100 m to an altitude of 490 m , where she will pull her ripcord? what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h .)
Her speed be at 490 m will be 226 m/s
What is speed?Speed is the rate at which an object moves along a path in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar value. For example, 50 km/hr (31 mph (ca. 50 km/h)) describes the speed of a car traveling along a road, whereas 50 km/hr west describes the velocity.Calculation
a) initial height, [tex]h_{i}[/tex] = 3100 m
[tex]h_{f}[/tex] = 490 m
time taken, t
Using the second equation is motion
3100–490 = 0.5 × 9.8 ×[tex]t^{2}[/tex]
solving for t
t = 23.07 s
b) let the speed is u
u =[tex]\sqrt{2*g*(h_{i} -h_{f} )}[/tex]
u = [tex]\sqrt{(2*9.8 * (3100-490))}[/tex]
u = 226 m/s
Hence, her speed is 226 m/s
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Her speed be at 490 m will be 226 m/s.
What is speed?Speed is the rate at which an object moves along a path in time, whereas velocity is the rate and direction of movement.In other words, velocity is a vector, whereas speed is a scalar value.For example, 50 km/hr (31 mph (ca. 50 km/h)) describes the speed of a car traveling along a road, whereas 50 km/hr west describes the velocity.initial height,[tex]h_i[/tex] = 3100 m
[tex]h_f[/tex] = 490 m
time taken, t
Using the second equation is motion
3100–490 = 0.5 × 9.8 ×
solving for t
t = 23.07 s
b) let the speed is u
[tex]&\mathrm{u}=\sqrt{2 * g *\left(h_i-h_f\right)} \\[/tex]
[tex]&\mathrm{u}=\sqrt{(2 * 9.8 *(3100-490))}[/tex]
u = 226 m/s
Hence, her speed is 226 m/s
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A wave has a speed of 150 m/s
and a frequency of 10 Hz. What is
the wavelength of this wave?
Answer:
Speed = frequency * wavelength
150m/s = 10Hz* wavelength
10Hz. 10Hz
Wavelength = 15m
a pilot flying low and slow drops a weight; it takes 2.2 s to hit the ground, during which it travels a horizontal distance of 180 m . now the pilot does a run at the same height but twice the speed. how much time does it take the weight to hit the ground?
Time taken by the weight to hit the ground is 2.2 seconds when pilot does a run at the same height but twice the speed.
What is distance , speed and how the time taken is same in the 2nd attempt as of the first attempt?Distance is a quantity which represents the product of speed and time in a given time period.Speed is the quantity that represents the distance travelled per unit time of the motion.Here the pilot takes 2.2 second of time to hit the ground and travels the distance of 180 meters.As we know that the time taken by the free fall from same height is always same.Time taken for the weight to hit the ground would be same as of the first attempt that is 2.2 seconds.To know more about speed visit:
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when a star settles down to a stable existence as a main-sequence star, what characteristics determines where on the main sequence in an h-r diagram the star will fall?
A star's mass determines where it lies along the main sequence. On the main sequence, high-mass stars are hotter and emit more energy than low-mass stars.
Explain about the Mass?A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force. The more mass a body has, the less of a change an applied force makes.
Mass is a unit used to describe how much matter is present in an object. Usually, the unit of mass is either kilogrammes (kg) or grammes (g) (kg). Mass is a measure of how much matter there is, regardless of where it is in the cosmos or how much gravitational force is being applied to it.
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An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. What is the net force on the airplane?
The net force on the airplane is 420 N.
What is force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. Newton is the SI unit of force.
Given parameters:
Force of the airplane, F = 800 N.
Force of air resistance, f₁ = 40 N.
Wind force, f₂ = 60 N.
Net force = ?
According to the question, wind force and force of air resistance are acting opposite direction. As, force of air resistance always acting opposite to the direction of plane flying, wind force is acting along the direction of plane flying.
Hence, net force = F - f₁ + f₂
= ( 800 -40 + 60) N.
= 820 N.
So, net force acting on the plane is 820 N.
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if the height of the mercury column in the leveling bulb is 10 mm greater than that in the gas buret and atmospheric pressure is 670 mm, what is the pressure on the gas trapped in the buret? (hint: raising the leveling bulb, increases the p on the gas)
The pressure on the gas trapped in the buret is 680 mm.
The air around you has weight, and it presses against everything it touches. That strain is referred to as atmospheric pressure or air pressure. it's miles the force exerted on a surface by way of the air above it as gravity pulls it to Earth. Atmospheric strain is normally measured with a barometer.
Atmospheric pressure strain is the pressure exerted via the air around us while Atmospheric stress is the stress exerted by means of the environment on the earth. Air pressure is measured with the aid of a tore gauge while atmospheric stress is measured with the use of a mercury barometer.
Given;
If the height of the mercury Column in the leveling bulb is 10 mm greater than the gas buret and the atmos[pheric pressure is 670 mm.
The pressure on the gas trapped in the buffet = 670 + 10
= 680 mm
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a horizontal meter stick has a mass of 213 g.213 g. three weights ride on the meter stick: 259 g259 g at 41.3 cm,41.3 cm, 193 g193 g at 75.5 cm,75.5 cm, and 207 g207 g at 90.3 cm.90.3 cm. at what location on the meter stick would the system be in balance if it were suspended there?
To find about the suspended, learn suspended and suspended particles.
What is suspension?
A heterogeneous mixture called a suspension is one in which the solid components are dispersed throughout the liquid without actually dissolving in it. A homogeneous mixture of particles with a diameter greater than 1000 nm and that are visible to the unaided eye is referred to as a suspension.
What is suspended particle?
Finely divided solids or liquids, known as suspended particulate matter (SPM), may be released into the atmosphere as a result of industrial processes, natural processes, or human activity.
Xcm= mini/mi
⇒ (259)(41.3)+(193)(75.5)+(207)(90.3)/259+193+207
⇒10696.7+14571.15+18692.1/659
⇒Xcm=66.707 cm
Therefore, the suspended balance is 66.707 cm.
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neptune's moon triton shows: neptune's moon triton shows: extensive cratering, consistent with a young surface. little cratering, telling nothing about the age of its surface. little cratering, consistent with a young surface. extensive cratering, consistent with an old surface. little cratering, consistent with an old surface.
e) little cratering, consistent with a young surface.
What are the features of NeptuneNeptune is a dark, cold, and windy planet.It is the final planet in our solar system. It is more than 30 times farther away from the sun than Earth. Neptune and Uranus are very similar. It is composed of a dense fog of water, ammonia, and methane that surrounds an Earth-sized solid center. It has a hydrogen, helium, and methane atmosphere. Neptune has the same blue color as Uranus due to methane. Neptune has six rings, but they are difficult to see.Neptune has fourteen moons.Neptune is the eighth and farthest-from-the-Sun planet. That means Uranus is Neptune's only planet neighbor.On Neptune, a day lasts 16 hours.Neptune's orbit around the Sun is so long that it takes 165 Earth years to complete one orbit.
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An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
The angle of just resolution light from two stars is greater if the light of the average star is red or if it is blue.
The formula to find the aperture of the telescope
D = 1.22λ/dФ
Limits of resolution:
The limit of resolution is a measure of the ability of the objective lens to separate in the image adjacent details that are present in the object.
There is diffract in the light when it passed through space and gets bent around obstacles. Diffraction grants disperse light according to wavelength, for example, it can be used to produce spectra.
Therefore an astronomical telescope is used to view distant stars. The angle is greater if the light of the average stars is red or if it is blue.
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what is the momentum of tectonic plate if its kinetic energy is zero?
Answer: It is zero
Explanation: Without kinetic energy a plate cannot move. It is impossible.
a spring with an m-kg mass and a damping constant 10 (kg/s) can be held stretched 1.5 meters beyond its natural length by a force of 3 newtons. if the spring is stretched 3 meters beyond its equilibrium position and then released with zero velocity, find the mass that would produce critical damping.
12.5kg is the mass that would result in critical damping.
Define the damping constant and determine it using the force or displacement equation provided.The ability of a damper to resist motion is shown by its damping coefficient, which measures the effectiveness of the damper. where c is the damping coefficient and is expressed in newton seconds per meter.
The damping coefficient is a term that has the formula where is a constant. This damping is equivalent to the kind of motion resistance and energy loss experienced when a piston with perforations is moved through a cylinder filled with a viscous fluid, like oil.
Force F = Kx
K = F/x
K = 3/1.5
K = 2N/m.
c² - 4mk = 0
m = c²/4k
m = 10²/4×2
m = 100/8
m = 12.5kg.
12.5kg is the mass that would result in critical damping.
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In order for work to be done on an object, the force must be in the same direction as the object moves. true or false?
Answer:
True
Explanation:
because in science work is only said to be done when the body moves through the distance of the force applied
erry-go-round accelerates from rest to in 34 s. assuming the merry-go-round is a uniform disk of radius 7.0 m and mass 31,000 kg, calculate the net torque required to accelerate it.
1.514 x 10⁴ N-m is the torque required to accelerate it.
Torque is the force that acts on the body causing it to turn about an axis.
It's given by
τ = I α ------- equation 1
Here I = moment of inertia of the disk
α = angular acceleration of the disk
For disk, moment of inertia = ½ m r²
I = 1/2 x (31 x 10³ kg) x (7)²
= 1/2 x (1514 x 10³)
α = ω₂₋ω₁ / t
here ω = angular velocity of the rotating merry-go-round
Substituting the values
α = ( 0.68rad/s - 0rad/s ) / 34s => 0.02 rad/s²
Putting the values of I and α in equation 1
τ = 1/2 x (1514 x 10³) x 0.02
=> 1.514 x 10⁴ N-m
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a baseball player hits a foul ball straight up into the air. it leaves the bat with a speed of 50 mph. in the absence of air resistance, how fast will the ball be traveling when the catcher catches it?
120 KM/H is the ball's speed when this is caught at same height, therefore the speed is the same but the direction is different.
what is the importance of speed?Your muscles are powerless, frightful, and helpless without speed. Just for display and to assist friends who are moving large pieces of furniture. The good news is also that speed may be acquired through the appropriate fitness training.
What are time, speed, and motion?The distance an object covers in a predetermined period of time is referred to as its speed. Things are either thought to be moving swiftly or slowly depending on their pace of motion. Speed equals Distance x Time. Time and distance in the SI are measured in seconds (s) and meters, respectively (m). The metre every second (m/s) is the unit of speed in the metric system.
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the angular velocity of a rotating rigid body increases from 500 to 1500 rev/min in 120 s. (a) what is the angular acceleration of the body? (b) through what angle does it turn in this 120 s?
The angular acceleration of the body & through certain angle is 0.87266 rad/sec² and 12566.8rad respectively.
Given -angular velocity of a rotating rigid body increases from 500 to 1500 rev/min .
Time= 120s
To find - Angular acceleration and angle
Principle : We have to convert rev/min to rad/sec .
ωf= ωi + αt
ωf- ωi = αt
α= [ ωf- ωi ]/ t⇒angular acceleration formula
ΔФ=ωi t + αt²/2⇒ angle deviation formula
Calculations-
Conversion of Rev/Min to rad/Sec -
ωi= 500 rev/min
= 500 x 2π rad/rev x 1min/60sec = 52.3598 rad/sec
ωf= 1500 rev/min
=1500 x 2π rad/rev x 1min/60sec = 157.079rad/sec
ωi=52.3598 rad/sec
ωf=157.079rad/sec
Now , to compute angular acceleration- α= [ ωf- ωi ]/ t
= [157.079rad/sec- 52.3598 rad/sec]/120
α=0.87266 rad/sec²
Now to compute angle deviated -ΔФ=ωi t + αt²/2
=52.3598 x 120 + [0.87266 x 120 x120]/2
ΔФ= 12566.8rad
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if a power plant operating at a steady power of 100 mw has run for a time 50 hrs. then the energy produced is?
5,000 Megawatt hour, amount of energy is produced by the power plant , which operates at steady power of 100 Megawatt.
Power is defined as rate of doing work or it is the work done per unit of time .
mathematically, P = W/t
where, P--> power in watt
W ---> work done by body in joule and t-----> time taken to do work in sec
but as we know Energy is defined as capacity to do work . Then it is same as work done. The S.I units of energy is joule.
So, power in form of energy is defined as amount of energy transferred per unit of time.
mathematically, P = E/t
We have , power of plant (P) = 100 megawatt
time (t) = 50 hours
put in above formula we get, 100 MW
= energy/ 50 hours
Energy = power × time = 100MW × 50 hours
= 5000 Megawatt hours
So, energy produced by the power plant of 100 ME is 5,000 Meagawatt hour.
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How many electrons are located in the outermost orbit in the bohr model of a boron atom?.
Electrons that are located in the outermost orbit in the Bohr model of a boron atom will be 3.
A nucleus with six neutrons and five protons makes up the Bohr model of boron. The K-shell and L-shell electron shells around the nucleus The valence electrons, which make up three of the electrons in the outermost shell of the Bohr diagram, are also present. The orbits of the electrons around the small nucleus are described by the Bohr model of boron.
It utilizes a number of different electron shells, including K, L, M, and N. The number of electrons that each shell can hold varies, with the shell closest to the nucleus having the least energy. The energy levels increase as the shell recedes more. According to the Bohr model, the electrons in an atom may be seen to orbit the nucleus in a variety of orbits with differing energies.
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A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is quadrupled, by what factor does the amplitude change?.
When the amplitude varies, it means twice as much.
Which instances of sinusoidal waves are there?Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.
Given:
if the string is given four times as much power.
According to the power that a sinusoidal wave on a stretched string transmits,
P =[tex]\frac{1}{2}[/tex] μω^A^2v
Where μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.
P ∝[tex]A^{2}[/tex]
Here, the only terms we need are power and amplitude.
A =K[tex]\sqrt{P}[/tex]
Where K is constant
Here, "power become quadruple" refers to four,
A = [tex]\sqrt{4P}[/tex]
A =2 [tex]\sqrt{P}[/tex]
Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.
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ultraviolet radiation falls in the wavelength region of 1.00 * 10^-8 to 1.00*10^-7 meters. what is the wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon? wavelength
The wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon is 3.00 x 1016 sec-1.
How to find the wavelength of ultraviolet radiation?Frequency = speed of light divided by wavelength
wavelength times the speed of light to calculate frequency.
F = c/ = (1.00 x 10^-8 m) / (3.00 x 108 m/s) = 3.00 x 1016 sec-1
When calculating light energy, we require the following two equations:
E = hv, where h = Planck's constant (see below), v = frequency in Hz, and E = energy of a photon of light.
c =, where = wavelength in m, = frequency in Hz, and c = speed of light (3x108 m/sec).
When these two equations are rearranged, we obtain
We will apply the equation E = hc/ to resolve the current issue.
h = 6.626 x 10 – 34 Jsec
c = 3 x 10 ^8 m/s
λ = 1.00 * 10^^7 m
E = (1.00x10-8 m)/(6.626x10-34 Jsec)(3x108 m/sec)
E = 1.99x10-20 kJ/photon x 1 kJ/103 J, or 1.99x10-20 J/photon per photon.
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Pls help answer thus
An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
With an astronomical telescope, the angle of just resolution light from two stars would be greater if the light of the average star is red or if it is blue.
What is an astronomical telescope?
An astronomical telescope consists of two lenses: objective and eyepiece.
The objective lens forms the image of a far off object at focal point while eyepiece lens just magnifies the image and make it look more clear, visible and magnified.
The formula D = 1.22λ/dФ is used to find the value of aperture of the telescope.
In general, an astronomical telescope is used to view distant stars. Thus, the angle formed would be greater if the light emitted by the average stars is red or blue.
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. suppose that the central diffraction envelope of a double-slit diffraction pattern contains 11 bright fringes and the first diffraction minima eliminate (are coincident with) bright fringes. how many bright fringes lie between the first and second minima of the diffraction envelope?
7 bright fringes lie between the first and second minima of the diffraction envelope.
Diffraction is defined because of the interference or bending of waves around the corners of an obstacle or via an aperture into the vicinity of the geometrical shadow of the impediment/aperture. The diffracting object or aperture correctly becomes a secondary source of the propagating wave.
Refraction is the alternate in direction of waves that takes place whilst waves journey from one medium to another. Refraction is always accompanied by means of a wavelength and speed alternate. Diffraction is the bending of waves around barriers and openings. the amount of diffraction increases with increasing wavelength.
Calculation:-
Here d = 15 a/2(since there are 15 bright fringes ).
Then for the first minimum which occurs at an angle1
then a sin? 1 =? (m=1)
For the second minimum which occurs at an angle= of 2
then a sin?2 = 2? (m=2)
then we calculate the values of m for which
1 < ?< ?2 for sin?1 < sin?< sin?2 ? < 2m?/15 <2?
that is 1<2m/15 <2
Hence, there are 7 bright fringes.
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how many times more gravitational potential energy would the same lander have on top of a 350-m hill on earth?
The same lander's gravitational potential energy on top of a 350-meter hill on Earth would be 6.
What is gravitational potential energy?The law of gravity gives rise to the generic term for gravitational potential energy, which is equal to the effort made to defy gravity in order to move a mass to a specific location in space. It makes logical to choose the gravitational potential energy zero at an infinite distance away because, due to the inverse square nature of the gravity force, the force approaches zero for huge distances. Since gravity performs positive work as a mass approaches a planet, the gravitational potential energy is then negative.When a mass approaches a huge body, it enters a "bound state," where it is trapped until an external source of energy enables it to break free. The gravitational potential energy of mass m has the following general form: [tex]U= \frac{-GMm}{r}[/tex]Where r is the distance between their centers, M is the mass of the attracting body, and G is the gravitational constant.This is the gravitational potential energy representation that can be used to determine an object's escape velocity from the pull of the earth's gravity.To learn more about gravitational potential energy, refer to
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For many-electron systems each principal energy level is split into of differing energies. The energy of an orbital in such a system is affected by the charge, by repulsions between , and by orbital shape.
For many-electrons systems, each principle energy level is split into sublevels of differing energies. Energy of orbital in such system is affected by nuclear charge, by repulsions between electrons and by orbital shape.
What is principal energy level?Each principal energy level is split into closely spaced sublevels. This quantum number is named the orbital shape quantum number as each orbital in a given type of sublevel has the same electron cloud shape.
Each energy sublevel corresponds to an orbital of a different shape that describes where the electron can be found and the energies of electrons are said to be quantized.
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a 5.0 g bullet moving 325 m/s is shot into a 1.25 kg block, which slides for 1.35 seconds across the surface it is on before coming to rest. what is the average force of kinetic friction between the block and the surface?
The average force of kinetic friction between the block and the surface is 0.00601N
v=u +at
v=at
t=v/a -----------1
d=at²/2 ------------2
Putting the value of t in eq 2
d=v²/(2a)
a=v²/(2d) -----------3
Putting the value of a in equation F=ma
F=ma ⇒ m [v²/(2d)]
In the question , m= 5g = 0.005kg , ∨=325m/s
Meanwhile distance=speed x time
distance=[ 325 x 135 ]
distance , d = 43875 m
F= m [v²/(2d)]
=0.005 {(325)²/(2x43875)}
=528.125/87750
=0.00601851852 N
≅0.00601N is the approximate force of kinetic friction between the block and surface.
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two watermelons are dropped from the same height. one is cracked on the pavement. the other one is intact when dropped on the grass lawn, which is a result of
One watermelon cracked on the pavement while the other one is intact when dropped on the grass lawn because of the momentum transfer.
A wave contains momentum and could be a vectorial amount. The contrast between the momentum of the scattered wave to the occurrence wave is called momentum transfer.
In Newtonian mechanics, energy (more particularly straight energy or translational momentum) is the item of the mass and speed of a question.
It may be a vector amount, having a size and a course. If m is an object's mass and v is its speed (moreover a vector amount).
In the Universal Framework of Units (SI), the unit of estimation of energy is the kilogram meter per moment (kg⋅m/s), which is identical to the newton-second.
When an object hits the ground, the energy exchanged from the protest to the ground indeed is its momentum transfer.
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What did galileo galilei and isaac newton believe about theories of the natural world?.
Galileo Galilei and Isaac Newton disputed the Aristotelian view that the sun should be at the center of the cosmos and believed that the earth was the center of the universe which is about theories of the natural world.
Unlike the Aristotelians, who believed in observation to look for natural circumstances, their view of nature was founded on experimental results. The basic means of communication with the world in the Aristotelian scientific tradition was observation and the pursuit of "natural" conditions. Galileo investigated earthly motion laws and established the principles of gravity.
First, Newton firmly established the laws of motion and connected them to Kepler's equations of planetary motion. Until Newton, there was no clear link between celestial body motion and earthly physics.
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A 5kg cat is lifted 2meters into the air. how much gpe does it gain?
Answer:
98
Explanation:
You are asking for the pe right? I think this is right
Potential Energy= mgh = (5)(9.8)(2)= 98
A ball is thrown horizontally at a speed of 7.9 m/s. When the ball is released, it is 1.8 m off the ground. How far (horizontally) will the ball travel?
If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).
What exactly does it entail to speed?Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.
How fast is relativistic motion?Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.
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