The speed of the first marble immediately after the collision (assuming it is a perfectly elastic collision) is 0.63 m/s.
In physics, an elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remain the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise, or potential energy.
How to calculate the speed of the first marble after the perfectly elastic collision?
The formula for a perfectly elastic collision as follows :
M₁ * U₁ + M₂ * U₂ = M₁ * V₁ + M₂ * V₂
1/2 * M₁ * U₁² + 1/2 M₂ * U₂² = 1/2 M₁ * V₁² + 1/2 M₂ * V₂²
Where
M1 = mass of first marble
M2 = mass of second marble
U1 = initial speed of first marble
U2 = initial speed of second marble
V1 = speed of first marble after collision
V2 = speed of second marble after collision
From the question given :
M₁ = 46g
M₂ = 23g
U₁ = 1.9m/s
U₂ = 0m/s
V₁ = (M₁ - M₂ / M₁ + M₂) * U₁ + (2M₂ / (M₁ + M₂)) * U₂
= (46 - 23 / 46 + 23) * 1.9 + 0
= 0.63 m/s (rounded)
Therefore, the speed of the first marble after its perfectly elastic collision will be 0.63 m/s.
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two children of mass 20 kg and 30 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. if the children are separated by a distance of 500 cm, at what distance from the pivot point is the small child sitting in order to maintain the balance?
In this question, you need to determine the torque.
The formula for torque is
torque = weight * length of the lever arm in meters
Since we are given the mass of each child, we need to solve for their weights, which is found by multiplying their masses by the pull of gravity, which is 9.8 m/sec/sec.
This gives the weight of the 20 kg child to be 196 Newtons, and the weight of the 30-kg child to be 294 Newtons.
If the length between the 2 children is 0.5 meters, then let's say that the distance away that the heavier child is from the fulcrum is r.
That makes the distance that the lighter child is away from the fulcrum as 0.5 - r.
Now the sum of the torques must equal 0 if the seesaw is to remain balanced.
Because one torque is positive and one is negative, we can move the negative one over to the other side of the equals sign making them equal to each other, which is what rotational equilibrium is all about.
Here's our formula thus far:
196(0.5 - r) = 294r and
686 - 196r = 294r and
686 = 490r so
r = 1.4
Therefore, with the help of torque, we get, the heavier child is at the distance of 1.4 m and the lighter child is 3.5 - 1.4 = 2.1 m away.
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qa cprojectile lands at the same height from which it was alunched. which initial velocoti will result in the greates horrizontal displacement of the projectile. neglect firction
The initial velocity will result in the greates horrizontal displacement of the projectile. neglect firction is Option C.
The horizontal velocity of the projectile is constant. There is a vertical acceleration due to gravity with a value of 9.8 m/s/s down. The projectile's vertical velocity changes at 9.8 m/s per second. The horizontal movement of the projectile is independent of vertical movement.
At its highest point, the vertical velocity is zero. As the object falls toward the Earth its vertical velocity increases again but points in the opposite direction to its initial vertical velocity. The initial horizontal velocity can also be determined by measuring the diameter d of the sphere and dividing it by the time t it takes for the sphere to move across the photogate.
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find an expression for this integral involving the current i(t) and any needed constants given in the introduction.
The expression of current in the loop enclosed to the left of the capacitor plate is [tex]$I(t)=\frac{1}{\mu_0} \int B \cdot d L$[/tex].
What is Ampere's law?
The magnetic field produced by an electric current is proportional to the magnitude of that current, with a constant of proportionality equal to the permeability of empty space, according to Ampere's law.
As we know by Ampere's law that line integral of magnetic field around a closed loop is proportional to the current enclosed in the path
So we will have
[tex]$\int B \cdot d L=\mu_0 I(t)$[/tex]
so we have
[tex]$I(t)=\frac{1}{\mu_0} \int B \cdot d L$[/tex]
So above is the expression of current in the loop enclosed to the left of the capacitor plate.
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in this current position, which coastline(s) are experiencing a daily high tide? only a only b both a and c both b and d
In this current position, Both A and C coastline(s) are experiencing a daily high tide.
What is gravitational field ?
A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies. As a result, a gravitational field, which is measured in newtons per kilogram, is used to explain gravitational phenomena.
A and C are both correct answers. The beaches that experience high tides in the ideal situation are those that are more closer to or opposite to the moon. The moon's own gravitational field pulls the earth toward it, which is the cause of this. This results in high or low tides.
In essence, two high tides and two low tides are occurring simultaneously. This is because the moon exerts different forces depending on where the water is on earth.
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A bungee jumper with a mass of 78 KG has a gravitational potential energy of 102562 J before jumping determine the height of the bungee jumper from the earth
The height of the bungee jumper from the earth, given that it has a mass of 78 Kg is 134.17 m
How do I determine the height?From the question given above, the following data were obtained:
Mass of bungee jumper (m) = 78 KgPotential energy of bungee jumper (PE) = 102562 JAcceleration due to gravity (g) = 9.8 m/s² Height of bungee jumper (h) = ?Considering the above data, we can determine the height of the bungee jumper as follow:
PE = mgh
102562 = 78 × 9.8 × h
102562 = 764.4 × h
Divide both sides by 764.4
h = 102562 / 764.4
h = 134.17 m
Thus, we can conclude that the height is 134.17 m
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consider the 6 stages listed below for the lives of a human being and a star. describe what a 1 solar mass star does in each stage of its existence:
Note that this is a trick question. It is true that the mass of a star affects its life cycle but all stars must go through the stages listed below. Note that the larger the solar mass of a star, the shorter its life cycle. Hence, in each of the stages given here is what will occur:
Prenatal Stage
Birth Stage
The star is able to sustain itself by making its own energy by nuclear fusionAdolescence/Adulthood
The nuclear fusion continues and maintains equilibriumNote that 90% of the stars life is in the main sequenceMiddle age
The sun is in middle age, in the middle of main sequence cycleIt reaches it's prime of lifeOld age
Nuclear fusion of hydrogen to helium ends in the core and the star goes into another fusion stage of helium to carbonIt then swells into a red giant.Death
All fusion processes stop as the outer part of the star is lost Turns in to a planetary nebula and the hot, inert core begins to cool offWhat is the Solar Mass of a Star?
The solar mass is a unit of mass used to measure the masses of objects in the solar system, including stars. It is defined as the mass of the Sun, which is approximately 1.989 x 10³⁰ kilograms, or about 333,000 times the mass of the Earth.
Hence, since the earth's sun is 1.989 x 1010³⁰ kilograms, a star described as having 1 solar mass is simply a star equivalent of the Earth's sun.
Note however that the solar mass is often used as a standard unit of mass for comparing the masses of objects in the universe, such as planets, asteroids, and stars.
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Full Question:
Compare the following stages in the lives of a human being and a star: prenatal, birth, adolescence/ adulthood, middle age, old age, and death. What does a star with a solar mass of 1 solar mass do in each of these stages?
g if at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 4.50 v/m, what is the magnitude of the magnetic field of the wave at this same point in space and instant in time?express your answer in teslas.
A long, straight wire's magnetic field strength is 1.5 x 10^-8 Tesla
Briefly:E = 4.5 V/m
Relation between electric field and magnetic field in electromagnetic wave are given by:-
c = E / B
Where, c= velocity of light in vacuum,
e = electric field and ,
B= magnetic field.
B = E / c
B = 4.5 / ( 3 x 10^8)
B = 1.5 x 10^-8 Tesla
How strong is the magnetic field?With increasing distance and vice versa, the strength of the magnetic field created by an electric current diminishes. Magnetic field lines form concentric circles, and as one moves away from a conductor, the radius of these circles grows, demonstrating a decreasing magnetic field.
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Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by a. gravitational collapse. b. fusing hydrogen into helium in the core. c. fusing hydrogen into helium in a shell around the core. d. degenerate-electron pressure.
Stars begin burning helium to carbon when the temperature rises in the core. This temperature increase is caused by fusing hydrogen into helium in the core. The correct answer is B.
In the universe, hydrogen fusion is the most common way to produce energy. At the centers of our Sun and other stars, where it has a density more than 70 times greater than that of steel, the gravitational force is used to fuse hydrogen. As a result, fusion produces all of the heat and light on Earth so the temperature increase. Stars begin burning helium to carbon when the temperature rises in the core. Chemical element helium has the atomic number 2 and the letter He after it. It is a colorless, odorless, tasteless, inert, monatomic gas that is the first member of the noble gas group in the periodic table and is not toxic.
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as the name quasi-stellar radio sources implies, all quasars are strong radio sources. as the name quasi-stellar radio sources implies, all quasars are strong radio sources. true false
The statement as the name quasi-stellar radio sources implies, all quasars are strong radio sources is true.
Quasars are extremely bright objects found in the centers of some galaxies, driven by gas swirling at high speed around very large black holes. The brightest quasars can outshine all the stars in the galaxy they reside in, and can be seen billions of light years away. Quasars are the most distant bright objects known. Quasar's optical spectrum presents a new mystery. Photographs taken of their spectra showed the positions of emission lines at wavelengths inconsistent with sources well known to astronomers at the time.[tex]x=\sqrt{1-\frac{\alpha }{y}+\beta \pi +mo }[/tex]To study more about Quasars -
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a block is dragged without acceleration in a straight-line path across a level surface by a force of 6 n. what is the frictional force between the block and the surface? * 1 point captionless image a)less than 6 n b)more than 6 n c)6 n d)need more information to say.
6 N is the frictional force between the block and surface.
In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.
A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs .
Variety of Forces :
* Muscular Forces, muscular tissues features to produce a ensuing force which is referred to as 'muscular force'.
* Frictional Forces, while an item modifications its nation motion, 'frictional pressure' acts upon.
* Carried out pressure.
* Tension force.
* Spring force.
* Gravitational pressure.
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what mass of fuel is needed to reach a top speed of 4000 m/s ?
103.4 kg mass of fuel is needed to reach a top speed of 4000 m/s .
What is speed ?
The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed only has a direction and no magnitude, it is a scalar quantity.
Let fuel is released at the rate of dm / dt where m is mass of the fuel
thrust created on rocket
= d ( mv ) / dt
= v dm / dt
this is equal to force created on the rocket
= 220 dv / dt
so applying newton's law
v dm / dt = 220 dv / dt
v dm = 220 dv
dv / v = dm / 220
integrating on both sides
∫ dv / v = ∫ dm / 220
lnv = ( m₂ - m₁ ) / 220
ln4000 - ln 2500 = ( m₂ - m₁ ) / 220
( m₂ - m₁ ) = 220 x ( ln4000 - ln 2500 )
( m₂ - m₁ ) = 220 x ( 8.29 - 7.82 )
= 103.4 kg .
Complete question: A rocket in deep space has an empty mass of 220 kg and exhausts the hot gases of burned fuel at 2500 m/s. What mass of fuel is needed to reach a top speed of 4000 m/s.
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Match the items on the left with their meaning on the right.
1. describing sound as high or low
256 vibrations per second
2. middle C on the piano
amplitude
3. the speed of sound
solids
4. the loudness of a sound
compression
5. the part of the sound wave where molecules of air are pushed together
pitch
6. sound travels through this medium faster than through air
1/5 mile per second
7. the source of all sound
vibrations
Each of the items should be matched with their meaning as follows:
Amplitude ⇒ describing the sound as high or low.256 vibrations per second ⇒ middle C on the piano.1/5 mile per second ⇒ The speed of sound.Pitch ⇒ the loudness of a sound.Compression ⇒ the part of the sound wave where molecules of air are pushed together.Solids ⇒ sound travels through this medium faster than through air.Vibrations ⇒ the source of all sound.What is a sound wave?In Science, a sound wave can be defined as a form of mechanical wave that requires a medium for its propagation and it creates a disturbance in the medium. This ultimately implies that, a sound wave needs a medium to travel and it creates a disturbance when it travels through any medium.
Generally speaking, the loudness of a sound wave is typically referred to as a pitch. Additionally, sound wave travel faster through a solid medium than through air.
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Answer: pitch - describing sound as high or low
256 vibrations per second - middle C on the piano
1/5 mile per second - the speed of sound
amplitude - the loudness of a sound
compression - the part of the sound wave where molecules of air are pushed together
solids - sound travels through this medium faster than through air
vibrations - the source of all sound
a certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 31.0 m/s. with what maximum speed can it go around a curve having a radius of 85.5 m?
Maximum speed can it go around a curve having a radius of 85.5 m is 22.6 m/s.
The maximum speed corresponding to radius r=150m is v=32.0m/s
The radius of the new track, r′=75.0m
A centripetal force must be exerted on an object for it to move in a circular path; this force is determined by the object's speed and the path's radius using the equation:
Fc=mv²/r
, where:
m is the mass of the object.
v is the speed of the object.
r is the radius of the circular path.
Let the maximum possible speed on the second track be v′.Considering that the maximal centripetal force must be equal in both situations, we have:
mv′²/r′=mv²/r
⇒v'=v√r′/r=32.0m/s×√75.0m/150m
=32.0m/s×√1/2
≈22.6m/s.
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while observing a storm, you see a flash of lightning, and hear the thunder 5.9 seconds later. assuming the speed of sound through the air is 331 m/s, how far away was the lightning strike, in km?
If a flash of lightning, and hear the thunder 5.9 seconds later, the distance of the lightning strike is 1 mile.
A mile is longer than a kilometer. To find out whether a kilometer or a mile is longer, convert them to feet. One mile is 5,280 feet. One kilometer is 3,280.84 feet.
Most roads have speed limits between 25 and 60 mph, so you can expect to drive one mile in 1 to 2.5 minutes. Whatever you do, don't let the math get you off the road! And don't forget that it's important to properly insure your vehicle.
The 10,000 steps are about 5 miles or 1 hour and 40 minutes, depending on stride length and walking speed. But that doesn't mean you have to do it all in one walk.
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the signal detected by a doppler radar is: question 8 multiple choice options a radiowave emitted by lightning a soundwave produced by thunder a radiowave reflected by precipitation a soundwave produced by wind shear
The signal detected by a Doppler radar is: a radio wave reflected by precipitation
How does Doppler radar works?Doppler weather radar determines the speed of precipitation in the atmosphere, that is somewhere near to the radar. Precipitation as it falls generally moves with the wind, this the wind velocity can be determined with doppler technology.
It uses doppler effect. It refers to the change in wave frequency when their occurs a relative motion between a wave source and its observer
A Doppler radar uses electromagnetic radiation waves that can detect how far away precipitation takes place.
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what is the relationship between voltage and energy? more precisely, what is the relationship between potential difference and electric potential energy?
Voltage is usually known as potential difference, which is the difference of potentials at two different points. Amount of work done to move a unit positive charge from one point to other is potential difference.
What is the relationship between electric potential energy and potential difference?Voltage is the electric potential energy per unit charge, which is measured in joules per coulomb ( volts). It is referred to as electric potential which must be distinguished from electric potential energy by understanding that potential is a per-unit-charge quantity.
The potential difference between points A and B, VB−VA, is defined to as the change in potential energy of a charge q moved from A to B, and then divided by the charge.
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The net force exerted on a car traveling in a circular path at constant speed is
A) directed toward the center of the curve. B) zero because the car is not accelerating. C) directed forward, in the direction of travel. D) none of the above
At each point in a circular journey, an object's direction and speed change. Centripetal force is the name given to the force that results in this velocity or acceleration. Thus, option B is correct.
What net force exerted on a car travelling in a circular path?Centripetal force is felt by a vehicle travelling in a circle. A circularly moving body is subject to a centripetal force that pushes toward the center of the circle it is travelling in.
Therefore, Centripetal force is the force that keeps an object moving in a circular motion when it is travelling due to velocity, or its speed in a particular direction. By attracting an object to a circle's center, it achieves this.
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For vibrational motion, what term denotes the maximum displacement from the equilibrium position? O wavelength O frequency O period O amplitude Submit Request Answer
Amplitude X is the name given to the largest departure from equilibrium. It depends on the type of oscillation on the units for amplitude and displacement.
The maximum displacement or distance that a point on a vibrating body or wave can move is known as the amplitude in physics and is calculated from the position where the point is at equilibrium. The length of the vibration route is divided in half by this value. Amplitude is the largest deviation from a vibrating body's mean position. The mass is changing direction while it is at its location of greatest displacement, hence velocity is zero.
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suppose the work function of a particular metal is 4.70 x 10-20j. what wavelength will be needed to eject electrons with a speed of 7.21x 105 m/s. will blue light be able to eject electrons from this metal?
The wavelength needed to eject electrons with a speed of 7.21 × 10⁵ m/sec is 7.2×1014Hz.
The electron is a subatomic particle with a poor one-standard electric rate. Electrons belong to the first generation of the lepton particle family and are commonly notion to be primary particles due to the fact they don't have any recognized components or substructure.
Electrons are negatively charged debris that orbits around the out of doors of the nucleus. They spin so speedy that it can be tough for scientists to examine them. they are interested in the superb price of the protons which are the smallest debris in an atom - you may fit 2000 of them right into a proton.
The hydrogen atom, as example, has simply one electron and one proton. The uranium atom, then again, has ninety-two protons, and consequently, 92 electrons.
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a super happy fun ball is dropped from a height of 11 feet and rebounds 13 14 of the distance from which it fell. how many times will it bounce before it's rebound is less than 1 foot? it will bounce times before its rebound is less than 1 foot. how far will the ball travel before it comes to rest on the ground? it will travel feet before it comes to rest on the ground.
Therefore, the super happy ball will take 32 bounces and travel the distance of less than 1 foot.
First bounce = 13 / 14 × 10 = 130 /14
using geometric progression where the common ratio = 13/14, the first bound = 130/14
ar^n-1 < 1
substitute the values into the equation
130 /14 × 13/14^(n-1) < 1
(13/14)^n-1 < 1÷ (130/14)
(13/14)^n-1 < 14 / 130
take log of both side
log (13 /14)^n-1 < log ( 14/130)
n-1 log (13 /14) < log ( 14/130)
since log (13/14) negative
n-1 > (log( 14/130)) ÷ ( log (13/14)
n - 1 > 30.07
n > 30.07 + 1 > 31.07
The 32 bounce will the travel less than 1 foot.
Therefore, the super happy ball will take 32 bounces and travel the distance of less than 1 foot.
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imagine the speed of light in antoher universe to be only 200m/s. two cars are teaveling along a high3ay in opposite directions. car 1 is traveling 50m/s, and car 2 is traveling 70m/s. how fast does person ridingin cqr 1 measure person riding in car 2 to be traveling?
The person riding in car 1 would measure the person riding in car 2 to be traveling at a speed of 63.91m/s.
If the speed of light in another universe is 200m/s and two cars are traveling in opposite directions along a highway, the speed at which a person riding in car 1 measures the person riding in car 2 to be traveling can be calculated using the following formula:
v' = (v + v0)/(1 + vv0/c²)
where v' is the measured speed, v is the actual speed of the object, v0 is the speed of the observer, and c is the speed of light in the given universe.
In this case, the actual speed of car 2 is 70m/s and the speed of car 1 is 50m/s. Plugging these values into the formula, we get:
v' = (70 + 50)/(1 + 70 × 50/200²) = 120/(1 + 3500/40000) = 120/1.875 = 63.91m/s.
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An object with a mass of 1.5 kg changes its velocity from +15 m/s to +22 m/s during a time interval of 3.5 seconds. What impulse was delivered to the object?
Answer:
10.5kgm/s
Explanation:
mass(m) = 1.5kg
initial velocity(u) = 15m/s
final velocity(v)= 22m/s
time(s) = 3.5 sec
impulse = force × time
force = change in momentum/time taken
f= m(v-u)/t
f = 1.5( 22 – 15 ) / 3.5
f= 1.5 ( 7 ) /3.5
f= 10.5/3.5
f = 3N
impulse = force × time
I = f × t
I = 3 × 3.5
I = 10.5 kgm/s
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when a 58 g tennis ball is served, it accelerates from rest to a speed of 45 m/s. the impact with the racket gives the ball a constant acceleration over a distance of 44 cm. what is the magnitude of the net force acting on the ball?
A 58 g tennis ball is served and accelerates from rest to a speed of 45 m/s. The net force acting on the ball is 133.5 N
The problem can be solved by applying the Newton 2nd Law of motion:
F = ma
Where:
F = force applied
m = mass
a = acceleration
We need to find the acceleration first using the motion equation:
v² = u² + 2as
where:
v = final velocity
u = initial velocity
s = distance
In this case u = 0 since the ball is initially at rest.
s = 44 cm = 0.44 m
Hence,
45² = 2 x a x 0.44
a = 2,301 m/s
Substitute into the Newton''s Law:
m = 58 gram = 0.058 kg
F = 0.058 x 2,301 = 133.5 N
There, the required force is 133.5 N
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anyone who scuba dives is advised not to fly within the next 24 h because the air mixture for diving can introduce nitrogen to the bloodstream. without allowing the nitrogen to come out of solution slowly, any sudden air-pressure reduction (such as during airplane ascent) can result in the nitrogen forming bubbles in the blood, creating the bends, which can be painful and even fatal. military special operation forces are especially at risk. what is the change in pressure on such a special-op soldier who must scuba dive at a depth of 20 m in seawater one day and parachute at an
The change in pressure on such a special-op soldier is 22.58 x 10⁴ Pa.
Calculation:-
Let pressure at surface of earth be P Pa.
pressure at height of 8.1 km in air can be calculated as follows .
pressure due to column of air of 8.1 km height
= h d g , h is height , d is density of air and g is acceleration due to gravity
= 8.1 x 1000 x .87 x 9.8 = 6.9 x 10⁴ Pa .
pressure at the height of 8.1 km
= P - 6.9 x 10⁴ Pa
Pressure due to column of 16 m in the sea
= h d g
16 x 1000 x 9.8
= 15.68 x 10⁴ Pa .
Pressure at depth of 16m
= P + 15.68 x 10⁴
pressure difference between points at height of 8.1 km and pressure at point 16 m deep
= P + 15.68 x 10⁴ - P + 6.9 x 10⁴ Pa
= 22.58 x 10⁴ Pa .
Air is the invisible combination of gases that makes up the Earth's ecosystem. this is what we suggest while we communicate approximately the air that we breathe. The phrase air is also used to consult the advent of some thing, as in an air of mystery.
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A mirage is a result of atmospheric 0 A Refraction. Aberration Dispersion Reflection_ E Scattering
A mirage is a result of atmospheric refraction.
A mirage is a naturally occurring optical phenomenon in which light rays are bent due to refraction, resulting in displaced images of distant objects or the sky. Light waves from the sun travel directly through the atmosphere to the Earth. But light travels at different speeds in warm air and cold air. The mirage occurs when the ground is very hot and the air is cool. Warming the ground warms a layer of air just above the ground, as light passes through the cold air and enters the warm air, it is refracted (bends). A layer of very warm air near the ground refracts light from the sky in a roughly U-shaped bend. The brain consider the light rays to be travelling in a straight line. The brain does not perceive the image as a deflected light from the sky. Instead, the brain thinks the light must be coming from something on the ground. Due to the difference in temperature of the atmosphere at different altitudes, the refractive indices of the air also vary as a result, causing the light rays to bend due to atmospheric refraction causing the formation of mirage.
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A box with mass 15 kg is pulled up an inclined plane as illustrated in the figure. What magnitude of force, F, must be applied to the box in order to move it up the ramp at constant speed if the coefficient of kinetic friction between the box and ramp is 0.115?
Answer:
o99i
Explanation:
hows a thin liquid film bounded on the right side by a sliding wire that is attached to a spring with spring constant 0.50 n/m. the spring is stretched by 1.8 cm.
The thin film developed on sliding wire is 0.018m.
If the thermodynamic properties of the thin liquid films formed between the particles and the subsequent chemical reactions are ignored, the phenomena that occur after the addition of water to PbO can be explained simply as follows:
(a) initially the PbO particles are hydrated and their surface is covered with absorbed water.
(b) a wedge of liquid forms at the points of contact between the particles.
(c) this wedge forms water rings on the surface of the partially wetted particles in the contact regions.
(d) these rings exert cohesive forces that hold separate particles together in a largely loose system.
S=w/2l
l=w/2S
I=1.8/2x 0.50=1.8cm =0.018m
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a bullet is shot into a large lead block and comes to rest (the block remains at rest as the bullet embeds in it). temperature measurement of the block shows that the bullet lost 1,729 j of kinetic energy and motion sensors show that it was moving at 597 m/s just as it hit the block. what is the mass of the bullet in grams?
The mass of the bullet is 9.7 grams.
As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.
i.e.ME = KE + PE
As given in the problem bullet is fired into a large stationary absorber and comes to rest. So PE = 0.
Temperature measurements of the absorber show that the bullet lost 1729 J of kinetic energy and high-speed photos of the bullet show that it was moving at 597 m/s just as it struck the absorber.
We know that KE = [tex]\frac{1}{2} mv^{2}[/tex], where
KE = kinetic energy = 1729J
m = mass
v = velocity = 597 m/s
Putting these values in above equation we get, m = 9.7 grams
So, the mass of the bullet is 9.7 grams.
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Stranger anxiety is less likely to appear in conjunction with Multiple Choice
O absence of the mother.
О familiar settings.
O feelings of insecurity
O unfamiliar settings.
Stranger anxiety is less likely to appear in conjunction with unfamiliar settings
Stranger anxiety is typically triggered by the presence of unfamiliar people or settings. Therefore, it is less likely to appear in a multiple choice setting since the environment is familiar and there is no perceived threat from strangers. Furthermore, the presence of the mother or other familiar figures can provide a sense of security and reduce the likelihood of stranger anxiety.
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what do rx, ry, , and |r| represent in terms of the force of the current, and what do they represent in terms of the forces moving the boat?
Rx and Ry represent the x- and y-components of the force of the current, respectively.
The magnitude of the force of the current, or the strength of the current, is represented by |r|. In terms of the forces moving the boat, the x- and y-components of the force of the current represent the horizontal and vertical forces that the current exerts on the boat.
|r| represents the magnitude of this force, which can be thought of as the intensity of the current. The stronger the current, the greater the force it will exert on the boat and the greater impact it will have on its movement.
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