The combinations of the rocket mass Mrocket and force from its thrusters FThrusters would result in an upward acceleration of 2 m/s2 are
A. Mrocket 1 kg, FThrusters 12 N
C. Mrocket 3 kg, FThrusters 6 N
Using Newton's Second Law, F = ma, we can determine the force needed to accelerate a rocket at a given rate. Since the mass of the rocket is given, we can calculate the force by rearranging the equation to F = m*a, where m is the mass and a is the acceleration. Therefore, for a mass of 1 kg, the force needed to achieve an acceleration of 2 m/s2 is 12 N. Similarly, for a mass of 3 kg, the force needed to achieve an acceleration of 2 m/s2 is 6 N.
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Calculate the mass for an object with 5,000J of PE on top of a 200m tall building.
Answer:
2.5 [kg].
Explanation:
1. initial formula is:
E=m*g*h, where E - energy described in the condition, m - required mass, h - height and g≈10 [N/kg];
2. according to the formula above:
[tex]m=\frac{E}{gh}; \ = > \ m=\frac{5000}{200*10}=2.5[kg].[/tex]
Which of the following characteristics of an astronomical telescope is the most important for determining the angular resolution?
The diameter of the objective lens or mirror characteristics of an astronomical telescope is the most important for determining the angular resolution .
The aperture of a telescope, also known as the objective or light-gathering lens or mirror, is its most crucial feature. The telescope's specifications can be found on the box, at the front of the tube, or close to the focuser.
In order to acquire a clearer view of the planets, stars, and galaxies that we are researching, we launch telescopes into space in order to avoid the Earth's atmosphere. Our atmosphere functions as a shield, allowing some light to pass through but blocking others.
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An object is thrown horizontally off a cliff with an initial velocity of 5.0 meters per second. The object strikes the ground 3.0 seconds later. (i) What is the vertical speed of the object as it reaches the ground? a) – 29.4 m/s b) zero. c) 15 m/s.
d) 29.4 m/s
(ii) How far from the base of the cliff will the object strike the ground? a) – 44.1 m/s b) zero. c) 15 m/s. d) 29.4 m/s
Answer:
Below
Explanation:
Vertical speed = at = 9.81 m/s * 3 = 29.4 m/s
For 3 seconds it travels 5 m/s horizontally = 15 meters (NOT m/s)
A rectangular-shaped swimming pool has dimensions of 15m by 30m and is 3.5m deep. When the pool is filled with freshwater, the average force on the short side of the pool due to the water is?
Doppler shift or Doppler impact is described because the alternate in frequency of sound wave because of a reflector shifting in the direction of or farfar from an object.
This is which withinside the case of ultrasound is the transducerλ is one wave period, then the quantity of wave lengths N which are found in a two-manner communique direction among the Radar and goal might be same to 2R/λ.
We realize that one wave period λ corresponds to an angular tour of 2π radians.The Doppler shift may be decided after appearing the variety Fourier transform (variety FFT) first. For a goal of interest, we are able to repeat the variety FFT till we've sufficient information to carry out the second one degree of FFT.
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a. A mass, m2, is initially at rest. A mass, m1, traveling with velocity, v1, collides with m2 in an elastic collision. After the collision, the two objects move with final velocities, v1f and v2f respectively. Using the laws of conservation of energy and momentum, show that the ratio of the final velocities in terms of m1 and m2 is given by: (v2f/v1f) = (2m1/m1 −m2) b. Linearize the expression in Exercise 1 by making the following substitutions: y≡m2/m1 andx≡v1f/v2f If y is plotted as a function of x, what values do you expect for the slope and intercept? c. Based on your result from Exercise2, what ratio of masses, m2/m1,results in final velocities, v1f andv2f that are equal in magnitude and opposite in direction?
The collision energy is used for the proving of the equation and the ratio of masses is 1:3.
By conservation of momentum,
m1v1 + 0 = m1v1f + m2v2f
=) v1 = v1f + (m2/m1)v2f -------------- 1
By conservation of kinetic energy
(1/2)m1v1^2 + 0 = (1/2)m1v1f1^2 + (1/2)m2v2f2^2
m1v1^2 + 0 = m1v1f1^2 + m2v2f2^2 ------------- 2
m1[v1f + (m2/m1)v2f]^2 = m1v1f^2 + m2v2f^2
m1v1f^2 + (m2^2/m1)v2f^2 + 2m2.v1f.v2f = m1v1f^2 + m2v2f^2
(m2^2/m1)v2f^2 + 2m2.v1f.v2f = m2v2f^2
(m2^2/m1)v2f^2 + 2m2.v1f = m2v2f
v2f[1-m2/m1] = 2v1f
v2f/v1f = (2m1/m2 - m2) ----------- 3
Hence proved.
B
v1f/v2f = 1/2 - (1/2)(m2-m1)
Now y = 2 / m1 and = v1f/v2f
x = 1/2 - 1/2y
2x = 1-y
y = 2x + 1 -------------- 4
C
Comparing y = mc + x
slope is m = -2
intercept c = 1
Putting v1f = - v2f means x = -1
from eq 4,
m2/m1 = y = -2 * -1 * +1 = 3
m2/m1 = 3.
Therefore, the collision energy is used for the proving of the equation and the ratio of masses is 1:3.
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You are designing a hydraulic lift for an automobile garage. It will consist of two oil-filled cylindrical pipes of different diameters. A worker pushes down on a piston (with a diameter of 25 cm) at one end, raising the car on a platform at the other end. To handle a full range of jobs, you must be able to lift cars up to 3,471 kg, plus the 451 kg platform on which they are parked. To avoid injury to your workers, the maximum amount of force a worker should need to exert is 106 N. What should be the diameter of the pipe under the platform if the diameter? Use g = 9.8 ™. Express answers in meters (m).
The maximum weight that has to be lifted is 3922 N. and the diameter of the pipe under the platform if the diameter is 37.
What is platform?Platform is defined as a collection of technologies that serve as the foundation for the development of new applications, procedures, or technologies. By facilitating transactions, a platform eventually makes this wealth generation possible.
A maximum weight of (3,471 + 451) g = 3922 N must be lifted. The other piston cannot be subjected to more than 100 N of force. The ratio of the two pistons' diameters needs to be sqrt (3922 / 106) = 37.
Thus, the maximum weight that has to be lifted is 3922 N. and the diameter of the pipe under the platform if the diameter is 37.
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NEED HELP PLS If you weigh 982 N on Earth, what would your weight be on the surface of Jupiter?
g = 9.8 m/s^2 on Earth's surface
g = 26.0 m/s^2 on Jupiter's surface
mass of the Earth is 6 x 1024 kg
mass of Jupiter is 1.9 x 1027 kg
radius of Earth is 6.4 x 106 m
radius of Jupiter is 7 x 107 m
Round your answer to the nearest whole number.
(ANSWER IS 2605 BUT I NEED TO KNOW HOW TO GET THE ANSWER)
The magnitude of your weight on the surface of Jupiter is 2,605.2 N.
What is your mass?
The magnitude of your mass which does not change on both Earth and Jupiter is calculated from your weight on Earth by applying Newton's second law of motion as follows;
W = mg
where;
m is your massg is acceleration due to gravity on Earthm = W / g
m = 982 N / ( 9.8 m/s²)
m = 100.2 kg
The magnitude of your weight on the surface of Jupiter is calculated as follows;
W = mg
where;
m is your massg is acceleration due to gravity on JupiterW = 100.2 kg x 26 m/s²
W = 2,605.2 N
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the lorenz curve: group of answer choices is located farther from the diagonal when income is defined to include the value of noncash transfers. is located closer to the diagonal today than it was in 1975. plots graphically the distribution of income. plots graphically the poverty rate over time
Lorenz curve is the curve that plots graphically the distribution of income. Therefore, the correct statement is statement 3.
The Lorenz curve depicts the distribution of income (or wealth) within an economy. Max O. Lorenz created it in 1905 to symbolize the distribution of income. The Lorenz curve displays the total percentage of income earned by various demographic groups.
The graph shows cumulative income or wealth on the vertical axis and percentiles of the population according to income or wealth on the horizontal axis. Lorenz curves and the statistics derived from them are frequently utilized to assess inequality within a population.
An empirical measurement of the wealth or income distribution within a population, based on information from tax returns, which detail income for a significant section of the people, is the common starting point for a Lorenz curve.
Therefore, statement 3 is correct.
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the fact that the ratio of helium to hydrogen in the universe is so large (25%:75%) is evidence that group of answer choices the age of the universe is roughly 14 billion years the expansion of the universe is accelerating the whole universe was once as hot as the interior of a star nuclear fusion rates in stars were much higher in the past
hydrogen, accounts for 74% of the mass while helium contributes 25%. Heavier elements comprise less than 1% of the total.This universe was 13.7 billion years old, adding or subtracting approximately 130,000 years, as determined by NASA's WMAP probe.
Why do hydrogen and helium make up the majority of the universe's mass?The vast quantities of helium and hydrogen that were created during the Big Bang account for the majority of the chemical elements' abundance in the cosmos.Only 2% of the universe's mass is made up of remaining elements, which were primarily created by supernovae and some red giant stars.
Why is hydrogen most prevalent in the universe but has a low percentage on Earth?As the only element in the cosmos without a neutron, hydrogen is the most basic in the universe, that explains why it is also the most plentiful, according to Nyman. Hydrogen has just one proton one and electron.
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A truck moving with an initial speed v collides with a car that is one-third as massive as the incident truck and is initially at rest. After the collision, the truck moves off in the same direction as before the collision with a speed v/2. Determine the following.
(a) the final speed of the car in terms of the initial speed v of the truck
The final speed of the car in terms of the initial speed v of the truck is 3v/2.
What is the final speed of the car?
The final speed of the car in terms of the initial speed v of the truck is calculated as follows;
Apply the principle of conservation of linear momentum as follows;
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m₁ is the mass of the truck u₁ is the initial speed of the truckm₂ is the mass of the caru₂ is the initial speed of the carv₁ is the final speed of the truckv₂ is the final speed of the carlet the mass of the truck = m
then, mass of the car = m/3
let the final speed of the truck, v₁ = v/2
The final speed of the car is calculated as follows
m(v) + (m/3)(0) = (m)(v/2) + (m/3)(v₂)
mv = (mv)/2 + (mv₂)/3
6mv = 3mv + 2mv₂
6mv - 3mv = 2mv₂
3mv = 2mv₂
v₂ = 3mv / 2m
v₂ = 3v / 2
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Based on the solar atmosphere and outer layers of the sun, select all of the correct statements from the following list.
Spicules and filaments are found in the solar corona.
The temperature of the corona is millions of degrees.
The solar wind is ionized gas streaming away from the sun.
The photosphere is the outermost layer of the sun.
Helioseismology is the study of "sunquakes."
The chromosphere is the visible surface of the sun.
Granulation is caused by convection.
The deepest portion of the Sun that we may directly witness is the photosphere. It extends roughly 250 miles (400 km) above the solar disk's visible surface at its core.
The distances from the inner layers, which are measured in terms of distance from the sun's core, and the outer layers, which are measured in terms of distance from the sun's surface, are shown on this diagram as approximations for each layer. The Core, Radiative Zone, and Convection Zone are the inner layers. The Photosphere, Chromosphere, Transition Region, and Corona make up the outer layers.
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the magnetic field perpendicular to a circular wire loop 9.0 cm in diameter is changed from 0.48 t to -0.69 t in 200 ms , where means the field points away from an observer and - toward the observer.
The induced emf is equal to 0.025v. If the outward magnetic flux rises, the current must go counterclockwise. When the flux coupling with a conductor or coil changes, an electromotive force, or EMF.
There are two approaches to get this change in flux: by statically or dynamically inducing emf across a certain area. For instance, the magnetic flux density is lower if fewer magnetic lines cover a large region of cross section. Knowing the magnetic flux also enables us to make an educated guess about the magnitude of the magnetic field in a particular area. The surface integral of the normal component of the magnetic field is used to define the magnetic flux across a surface (B)
e = Pi*r^2(B2 - B1)/t
e = pi*81/4*0.50/130 *10
e = 0.025v
current must be clock wise
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A metallic circular plate with radius r is fixed to a tabletop. An identical circular plate supported from above by a cable is fixed in place a distance dd above the first plate. Assume that dd is much smaller than r. The two plates are attached by wires to a battery that supplies voltage V.1) What is the tension in the cable? Neglect the weight of the plate.Express your answer in terms of the variables d, r, V, and constants ϵ0, pi.F=2) The upper plate is slowly raised to a new height 2d. Determine the work done by the cable by integrating ∫d to 2d F(z)dz, where F(z) is the cable tension when the plates are separated by a distance z.Express your answer in terms of the variables d, r, V, and constants ϵ0,pi.W=3) Compute the energy stored in the electric field before the top plate was raised.Express your answer in terms of the variables d, r, V, and constants ϵ0, pi.U=4) Compute the energy stored in the electric field after the top plate was raised.Express your answer in terms of the variables d, r, V, and constants ϵ0, pi.U=5) is the work done by the cable equal to the change in the stored electrical energy? If not, why not?The work done in separating the plates is equal to energy change in the plates.The work done in separating the plates is equal to the magnitude of the energy change in the plates. This does not mean that the work done is equal to the change in the energy stored in the plates. The work done on the plates is positive but the plates lose energy. The plates are connected to the battery, so the potential difference across them remains constant as they are separated. Therefore charge is forced off of the plates through the battery, which does work on the battery.
An electrical charge and electrical energy are stored in a capacitor. Typically, capacitors have two electrical conductors that are spaced apart.
(Note that although these electrical conductors are frequently called "electrodes," they are actually "capacitor plates.") A capacitor is referred to as a "vacuum capacitor" if the distance between capacitors is merely a vacuum. However, a dielectric, an insulating substance, is typically used to fill the void. (In the sections on dielectrics later in this chapter, you will learn more about dielectrics.) You will learn more about the capacitance property of capacitors a little bit later in this section. Capacitance is what determines how much storage a capacitor can hold.
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determine the mass flow rate (lbs/hr) of a liquid with a density of 58.30 pound (lbs/ft3) and a volumetric flow rate of 332 gpm. (round the final answer to nearest whole number.)
The mass flow rate of the liquid is found to be 152,135 Lbs/hr.
The volume flow rate is given to be 332 gpm.
It means that 332 gallons per minute is flowing.
The density of the liquid is given to be 58 lbs/ft³.
We have to calculate the mass flow rate in lbs/hr.
The amount of liquid flowing in one hour is = 332×60 gallons per hour.
= 19920 gallons per hour.
1 gallon = 0.134 ft³
Converting,
The amount of liquid flowing in one hour is,
= 19920×0.134 ft³/h
= 2609.52 ft³/h.
Now,
Density = Mass/volume
Putting values,
58.30 = Mass/2609.52
Mass flow rate = 152,135.016 lbs/h.
Rounding off to the nearest Whole number.
So, the mass flow rate of the liquid is 152135 lbs/h.
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Find the phase difference between these two rays at point B, ignoring any phase shift due to reflection.
Express your answer in terms of ?.
Image result for Find the phase difference between these two rays at point B, ignoring any phase shift due to reflection.
Two sound waves of the same frequency that are perfectly aligned have a phase difference of 0 and are said to be “in phase.” Two waves that are in phase add to produce a sound wave with an amplitude equal to the sum of the amplitudes of the two waves. This process is called “constructive interference.
Phase difference = 2πλx path difference.
When the phase difference between the waves is an even multiple of (180°), constructive interference happens, but destructive interference happens when the difference is an odd multiple of.
The location of neighboring medium particles vibrating in phase is known as the wavefront. Because of this, there is no phase difference between any two places on a wavefront.
By operating in the X-Y mode, the CRO can measure the phase difference. The pattern that CRO predicts is a diagonal straight line making 45° with the X-axis at a phase shift of = 0° or 360°. The pattern that CRO predicts at a phase shift of = 90° is a clockwise spinning circle.
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stunt motorcyclist biker sally rides her bike inside a futuristic rotating space station-a giant rotating donut-shaped structure in space. the normal support force feels like weight to her
As he rides in the same direction of rotation of station, the normal force increases and as he rides in opposite direction of motion, normal force decreases.
The gravitational force has not disappeared in space station, but astronauts feel weightlessness. This is because of microgravity. It happens when an object is falling freely.
Both the astronauts and the ISS are orbiting around the Earth. This means, they are in a state of freefall towards the Earth.
On the ISS therefore, the acceleration due to gravity is not zero. In fact the gravitational field inside the ISS is almost as large as that they are exposed to on the Earth.
As there is presence of gravity, there is also presence of opposite normal force. This force increases when rotation along with earth in same direction and it decreases when rotating in opposite direction.
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4.00 mol of the helium is confined to a 4.00-L container at a pressure of 14.0 atm. The atomic mass of helium is 4.00 u, and the conversion between u and kg is 1 u = 1.661 ××10?27 kg.
Calculate vrms. (Express your answer to three significant figures.)
Since 1 u = 1.661 10 kg, what is the atomic mass of helium, which is 4.00 u, in u? 27 kg equals 1031.46 m/s.
Vrms = [tex]\sqrt{3RT/m}[/tex]
PV = nRT
RT = PV/n
RT = 14 × 101325 × 4 × [tex]10^{-3}[/tex]/4
RT = 1418.55
Vrms = √1418.55 × 3/4 × [tex]10^{-3}[/tex]
Vrms = 1031.46m/s
The atomic mass ma of an isotope is divided by the atomic mass constant mu to produce a dimensionless value, which is the relative isotopic mass (see section below). As a result, while a carbon-12 atom's relative isotopic mass is simply 12, its atomic mass is defined as 12 Da. The total of all the atoms' respective isotopic masses makes up the relative molecular mass.
A unique isotope of an element is indicated by its relative isotopic mass and atomic mass. It is practical to use the elemental atomic mass, which is the average (mean) atomic mass of an element, weighted by the abundance of the isotopes, because most things are not isotopically pure.
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two small speakers a and b are driven in step at 725 hz by the same audio oscillator. these speakers both start out 4.50 m from the listener, but speaker a is slowly moved away. (see (figure 1)).
The speakers produce the second destructive interference at the distance of 0.704 m.
Let us take the speed of sound v as 340 m/s.
The frequency f of sound is given as 725 Hz.
The wavelength is calculated to be,
λ = v / f = 340/ 725 = 0.469 m
For destructive interference, distance is given as,
d = (2k - 1) * λ/2
For second destructive interference, put K = 2 in the above formula,
d = (4 - 1) * 0.469/2 = 0.704 m
Thus, the speakers produce the second interference at the distance of 0.704 m.
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an inclined ramp is set up on your table. from the top of the ramp, you release a disk, hoop, and solid sphere at the same time. all objects are well manufactured with exactly the same mass. they are completely uniform and roll without slipping. which object reaches the bottom of the ramp first, second and third? select from the following, which are listed in order of first, second, third.
Sphere, disk, hoop due to Torque.
Torque = I α if a man and radius is same α will be more for lesser moment of theta.
Is = 2/5 MR², Iloop = MR², Id = 1/2MR²
The order is
Is < Id< Ih
Sphere, disk, hoop.
rFsin() is the definition of torque. Or, to put it another way, torque is the cross product of the distance vector (the distance between the pivot point and the point at which force is applied) and the force vector, where 'a' is the angle between r and F. The torque is a pseudovector in three dimensions and is determined for point particles by the cross product of the force vector and the position vector (also known as the distance vector). The force applied, the lever arm vector[2] connecting the torque measurement point to the force application point, and the angle between the force and lever arm vectors all play a role in determining how much torque a rigid body can generate.
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Two balls of clay known masses hang from the ceiling on masslessstrings of equal length. They barely touch when both hang atrest. One ball is pulled back until its string is45o, the released. It swings down, collides withthe second ball, and they stick together. To determine theangle to which the balls wing to the opposite side, you need toinvoke:
A. Conservation of momentum
B. Conservation of mechanicalenergy
C. Both conservation of momentum andconservation of mechanical energy
D. Either, but not both.
E. These principles alone are not sufficientto find the angle
The combination of momentum conservation and mechanical energy conservation yields the letter C.
You need:
1.Conservation of energy to calculate the velocity of the firstball of clay by the time it descends:
mgh=1/2mu2
[calculate h by using h=L(1-cos45)]
2.Conservation of momentum to find out the final velocity of theballs of clay using:
m1u1+m2u2=(m1+m2)v ---note:u2=0
3.Conservation of energy to calculate the max height the balls ofclay will go by using:
1/2(m1+m2)v2=mgh
Once you have h,
h=L(1-cosθ), solve for θ
In Newtonian physics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It has both a magnitude and a direction, making it a vector quantity. If an item has mass (m) and velocity (v), both of which are vector quantities, then it has momentum (p).
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Question 20 (1 point) What is the maximum theoretical efficiency possible for a heat engine operating between a reservoir in which ice and water coexist, and a reservoir in which water and steam coexist? The pressure is constant at 1.0 atm for both reservoirs. 100% 27% 45% 17% 73%
The maximum theoretical efficiency possible for a heat engine operating between a reservoir in which ice and water coexist is 27 %.
Heat engines often operate at around 30% to 50% efficiency, due to practical limitations. It is impossible for heat engines to achieve 100% thermal efficiency, according to the Second law of thermodynamics.
The Carnot cycle is a theoretical power cycle and is used for showing the theoretical maximum of a heat engine.
The energy consumption, theoretical value is the value when computers operate following the power saving settings on individual computers and the sample settings.
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we can detect a transiting planet by: we can detect a transiting planet by: an increase in the total amount of light received from the planet's star. the light that the planet emits. the doppler effect of the planet's light as it orbits. the amount of light it blocks from its star.
Transit photometry is presently the most effective and sensitive method for detecting extrasolar planets. It is a particular method for space-based observatories that can stare continuously at stars for weeks or months.
Mostly of the exoplanets have been discovered using the transit method. It occurs when a planet passes between a star and its observer.
Transits in our solar system can be observed from Earth when Venus or Mercury travel in between us and the Sun in our solar system.
Transits tell an exoplanet not because we directly see it from many light-years away, but because the planet passing in head of its star ever so slightly dims its light.
This darken can be seen in light curves graphs showing light received over a period of time. When the exoplanet passes in head of the star, the light curve will show a dip in brightness.
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the figure(figure 1) shows a particle of mass m at distance x along the axis of a very thin ring of mass m and radius r. calculate the gravitational potential energy of these two masses. use what you know about the relationship between force and potential energy to find the magnitude of the gravitational force on m when it is at position x>0 .
The magnitude of the gravitational force on mass m at distance x along the axis of a very thin ring when it is at position x>0 is 4GMm/4x^2-L^2.
Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. if two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.
The gravitational field at any point P in space is defined as the gravitational force felt by a tiny unit mass placed at P.
This relation can be find out by using the formula of gravitational potential = GMm/r and further integrating on small dx length at x from the origin of the rod, we get,
U = GMm/L㏑2x-2/2x+2.
now differentiating with respect to dx, we get
F = 4GMm/4x^2-L^2.
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Mitch Trubisky throws a football straight up into the air where it stays for 5.18 seconds
before he catches it. If the height that he releases the ball and catches the ball is the same,
and assuming that point is the origin, what is the maximum height the ball the ball will reach?
The acceleration due to gravity is 9.8m/s/s downward. Answer to two decimal places and do
not include units.
Answer:
32.93 ( m )
Explanation:
The ball travels up for half the time 1/2 * 5.18 = 2.59 s
( the other 2.59 s is coming down time)
When it reaches max height , vf = 0
vf = vo - 9.8 (t)
0 = vo - 9.81(2.59)
so vo = 25.4079 m/s
d = max height = vo t + 1/2 a t^2
= 25.4079 ( 2.59) + 1/2 ( - 9.8) (2.59^2) = ~ 32.93 m (Pretty high!!!)
a_____n increase in the volume of water produced by thermal expansion creates a corresponding rise in .
Increase in the volume of water produced by thermal expansion creates a corresponding rise in sea level
What is thermal expansion?
Solids, liquids, and gases all exhibit the phenomena known as thermal expansion. This process involves the expansion of an object or body when heat is applied (temperature). Thermal expansion is the tendency of an object to change its dimensions as a result of heat, including length, density, area, or volume. The substance has more kinetic energy when it is heated.
Three forms of thermal expansion exist:
Linear expansionArea expansionVolume expansionAccording to the question:
Sea level rise is brought on by a larger volume of ocean water as a result of thermal expansion. The amount of water in the oceans is also rising as a result of melting ice and snow on land brought on by rising temperatures. Sea level will only rise as a result of land-based ice and snow melting.
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in the speed of particles is doubled by what factors of momentum change.? and what factors kinetic energy changes
If the speed of a particle is doubled, its momentum will also be doubled, because momentum is directly proportional to the speed of the particle. In other words, the momentum of a particle is equal to its mass times its velocity, so if the velocity is doubled, the momentum will also be doubled.
The kinetic energy of a particle is also directly proportional to the square of its speed, so if the speed is doubled, the kinetic energy will increase by a factor of four. This can be expressed mathematically as:
Kinetic energy = (1/2) * mass * velocity^2
If the velocity of a particle is doubled, the kinetic energy will increase by a factor of four, because velocity^2 will increase by a factor of four.
So to summarize, if the speed of a particle is doubled, its momentum will be doubled, and its kinetic energy will increase by a factor of four.
Two identical thin rods_ each of mass m and length L_ are joined at right angles to form an L-shaped object; This object is balanced on top of . sharp edge (Figure 1) If the object is displaced slightly; it oscillates: Part A Assume that the magnitude of the acceleration due to gravity iS g- Find W, the angular frequency of oscillation of the object Your answer for the angular frequency may contain the given variables mn and L as well as g- Figure 1 of 1 View Available Hint(s) AZd XOn Submit Previous Answers
The angular frequency of oscillation of the object, ω is calculated to be= √3g / 2√ 2 L.
What is angular frequency of oscillation?Number of oscillations per second of a particle executing simple harmonic motion is called angular frequency.
Given acceleration due to gravity is g,
=mg. L/2 {-2/√2* sinФ
When L- shaped object is slightly displaced by an angle, then
τ0 =mg. L/2 [(sin 45° - Ф) - (sin 45° + Ф)]
= 2 (mL²/3) α
= - (m*g*L Ф)/√3
α = -3g Ф/ 2√ 2 L
ω= √3g / 2√ 2 L
The angular frequency of oscillation of the object, ω= √3g / 2√ 2 L.
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a single loop of wire with an area of 0.0940 m2 is in a uniform magnetic field that has an initial value of 3.80 t, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 t/s . for related problem-solving tips and strategies, you may want to view a video tutor solution of emf and current induced in a loop.
The EMF induced in a single wire loop with an area of 0.0940 m² is in a uniform magnetic field which has an initial value of 3.80 T, is perpendicular to the plane of the loop, and decreases at a constant rate of 0.190 T = 0.34 V. And the current induced in the loop = 0.57 A.
The EMF inducedInduced electromotive force or induced emf is the potential difference at the ends of the coil which will produce an induced electric current.
An induced electric current appears as long as there is a change in magnetic flux.
The equation is:
ε = d∅/dt
We have,
The area of the loop = 0.0940m²
The change in magnetic field with time = (3.80 T - 0.190 T) = 3.61 T
So, the EMF induced:
ε = d∅/dt
= {(0.0940m²) (3.61)} / 1
= 0.34 V
And the current induced in the loop =
I = ε/R
= 0.34 V / 0.600 Ω
= 0.57 A
The question is incomplete, it should be:
A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field that has an initial value of 3.8 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s.
(a) What emf is induced in this loop?
(b) If the loop has a resistance of 0.600O, find the current induced in the loop.
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An object is thrown with a horizontal velocity of 20 m/s from a vertical cliff that is 125 m above level ground. If air resistance is negligible, the time that it takes the object to fall to the ground from the cliff is most nearly...
5 seconds
An object is thrown with a horizontal velocity of 20 m/s from a vertical cliff that is 125 m above level ground. If air resistance is negligible, the time that it takes the object to fall to the ground from the cliff is nearly Five (5) seconds.
The horizontal velocity is the speed at which an object is traveling in a straight line. It can vary from object to object and can be affected by a number of factors. One of these factors is air resistance. Air resistance is a force that acts in the opposite direction to the motion of an object. It is a result of the air molecules pushing back against the object as it moves through it. The amount of air resistance acting on an object depends on its shape and size, as well as the speed at which it moves.
This means that as an object's horizontal velocity increases, the amount of air resistance acting on it also increases. This can slow down the object's velocity, or even cause it to come to a stop.
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two compounds with partition coefficients of 0.15 and 0.18 are to be separated on a column with vm/vs. Calculate the number of theoretical plates needed to produce a resolution of 1.5?
The number of theoretical plates are 1757.
What is partition coefficients ?
The ratio of a compound's equilibrium concentrations in a combination of two immiscible liquids is known as a partition coefficient (P) or distribution coefficient (D). This ratio so compares the solubilities of the solute in these two liquids.
What is resolution ?
Resolution of the vector is the process of dissolving a vector into its parts. The components will result in the same vector when combined together vectorially. In general, we divide a vector into three parts: the x-component, the y-component, and the z-component. y-component is the name given to a component that runs along the y-axis.
The ratio of the partition coefficients of the two components ( ∝)
K ₂/ K₁ = 0.18/ 0.15= 1.2
The relationship between no. of plates and resolution is ask follows
R= [tex]\sqrt{N}[/tex]/ 4 (∝- 1/∝) (K₂/K₂+1)
Calculate K₂ by using K₂ and Vsm as follows
K₂= K₂ ( Vs/ Vm )
18*1/3= 6
calculate the number of plates ( N) as follows
R= [tex]\sqrt{N}[/tex]/4 (∝- 1/∝) (K₂/K₂+1)
[tex]\sqrt{N}[/tex]= R*4/(∝- 1/∝) (K₂/K₂+1)
N = ( r*4/ (∝- 1/∝) (K₂/K₂+1))²= [1.5*4/ ( 1.2-1/ 1.2) ( 6/ 6+1)]²= [6/(0.167) (0.857)]² = 1757
Therefore, number of theoretical plates are 1757.
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