The gravitational force between the asteroids with masses 3. 71 x 10^5 kg and 1. 88 x 10^4 kg are separated by a distance of 1,300 m is 27.5 * 10^-8 N
F = G m1 m2 / r²
F = Gravitational force
m1 , m2 = Masses
r = Distance between m1 and m2
m1 = 3.71 * 10^5 kg
m2 = 1.88 * 10^4 kg
r = 1300 m
G = 6.67 * 10^-11 N m² / kg²
F = 6.67 * 10^-11 * 3.71 * 10^5 * 1.88 * 10^4 / 1300²
F = 46.52 * 10^-2 / 169 * 10^4
F = 27.5 * 10^-8 N
According to Newton's law of gravitation, any matter in the universe attracts another matter with a force. This force of attraction is directly proportional to the product of their masses and inversely proportional to the square of distance between them.
Therefore, the gravitational force between the asteroids is 27.5 * 10^-8 N
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which is the best reason to use a power model to describe the relationship between the length and period of a pendulum? the standard deviation of the residuals is small.
The reason for using the power model to describe the relationship between the length and the period of the pendulum is because there is a linear relationship between the scatter plots of log (length) vs. log (period of pendulum), but none can be seen in the residual plot.
In the "Power Models" unit, discover which circumstances may be explained by power models, inverse power models, and quadratic models. Additionally, you'll learn how to use the formulae y = ax₂, y = ax₃, y = a/x₂, y = a/x₃, and y = ax₂ + bx + c to compare patterns in tables and graphs of models. Here, x₂ and x₃ are the length of the pendulums at particular instants.
In the framework of these models, they also begin to understand the idea of rate of change. Here, some skills are acquired, like visually solving quadratic equations and simplifying radical and exponential forms. Additionally, direct and inverse variation concepts and phrases are taught.
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a crane lowers a metal beam into place at constant speed. which is true about the work done by the gravitational force (wg) and the work done by the tension in the cable (wt) as the beam is lowered? a) wg>0 and wt>0 b) wg>0 and wt<0 c) wg<0 and wt>0 d) wg<0 and wt<0 e) wg
The work done by gravitational force and tension in the cable is wg > 0 and wt <0. option 2 is correct.
The work done by the force is given as :
W = Fdcosθ
where
F= force
d = displacement
θ = angle between directions of F and d
when force and displacement are parallel then :
θ = 0
cosθ = ±1
so work done is positive
when force and displacement are anti-parallel then :
θ = 180°
cosθ = -1
so work done is negative.
then crane is moving downward. the force is also downward and tension is upward.
The work done by gravitational force and tension in the cable is wg > 0 and wt <0. option 2 is correct.
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1. Calculate the current flowing when:
(A) 75 mC pass a point in I min;
(B) 0.5 GC pass a point in 2 hours;
(C) 2.0 MC pass a point in 1000 hours.
2. Calculate the charge flow when the current flow is:
(A) 6.0 A for 5 min;
(B) 250 mA for 4 hours;
(C) 2.5 KA for 50 s.
3. How long does it take for the following to pass a point in the circuit?
(A) 25 MC at a current of 25 mA;
(B) 48 C at a current of 12 A;
(C) 360 C at a current of 4.0 A.
4. A current of 10 cA flows through a resistor of resistance 4.0 ohms
Find the:
(a) P.d across the resistor;
(b) Total charge flow in 3 minutes;
1)The current flowing when:
(A) 75 m C pass a point in I min will be 1.25 * [tex]10^{-3}[/tex] A
B) 0.5 GC pass a point in 2 hours will be 0.5 * [tex]10^{9}[/tex] C
C) 2.0 MC pass a point in 1000 hours will be 2 * [tex]10^{6}[/tex] C
The charge flow when the current flow is:
(A) 6.0 A for 5 min will be 1800 C
B) 250 mA for 4 hours will be 3600 C
C) 2.5 KA for 50 s will be 125 * [tex]10^{3}[/tex] C
3A) [tex]10^{9}[/tex] seconds will it take for pass 25 MC at a current of 25 mA
B) 4 seconds will it take for pass 48 C at a current of 12 A
C) 90 seconds will it take for pass 360 C at a current of 4.0 A
4) A) Potential difference across the resistor will be 0.4 V
B) Total charge flow in 3 minutes will be 18 C
1 )
current = charge / time
A) 75 m C = 75 * [tex]10^{-3}[/tex] C
current = 75 * [tex]10^{-3}[/tex] C / 60 = 1.25 * [tex]10^{-3}[/tex] A
B ) 0.5 GC = 0.5 * [tex]10^{9}[/tex] C
current = 0.5 * [tex]10^{9}[/tex] C / 216000 = 0.0023 * [tex]10^{5}[/tex] =2.3 * [tex]10^{2}[/tex] A
C) 2.0 MC = 2 * [tex]10^{6}[/tex] C
current = 2 * [tex]10^{6}[/tex] / 36 * [tex]10^{5}[/tex] = 0.0556 * 10 A
2) charge = current * time
A) Q 1 = 6 * 300 = 1800 C
B) Q2 = 250 * [tex]10^{-3}[/tex] * 14400 = 3600 C
C) Q3 = 2.5 * [tex]10^{3}[/tex] C * 50 = 125 * [tex]10^{3}[/tex] C
3 )
time = charge / current
A) T1 = 25 * [tex]10^{6}[/tex] / 25 * [tex]10^{-3}[/tex] = [tex]10^{9}[/tex] seconds
B) T2 = 48 / 12 = 4 seconds
C) T3 = 360 / 4 = 90 seconds
4)
a) V = IR ( using ohm's law )
= 0.1 * 4 = 0.4 V
b) charge = current * time
= 0.1 * 180 = 18 C
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A ball with a mass of 4 kg is dropped from a height of 20 m. What is the velocity of the ball just before it hits the ground? g = 10 m/s^2
Taking into account the definition of potencial energy, the velocity of the ball just before it hits the ground is 20 m/s.
Potential energyPotential energy is the energy that a body has at a certain height above the ground.
Gravitational potential energy is the energy associated with the gravitational force and it depend on the height of an object to some reference point, the mass, and the force of gravity.
The expression applied to the gravitational energy of the object is:
Ep= m×g×h
where:
Ep is the potential energy in joules (J).m is the mass in kilograms (kg).h is the height in meters (m).g is the acceleration of fall in m/s².Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is represented by the following expression:
Ec = 1/2× m× v²
where:
Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg).v is velocity measured in meters over seconds (m/s).Principle of conservation of mechanical energyMechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position.
The principle of conservation of mechanical energy indicates that the mechanical energy of a body remains constant when all the forces acting on it are conservative.
Therefore, if the potential energy decreases, the kinetic energy will increase while if the kinetics decreases, the potential energy will increase.
Velocity of the ballIn this case, you know:
Ep= ?m= 4 kgg= 10 m/s²h= 20 mReplacing in the definition of potential energy:
Ep= 4 kg× 10 m/s²× 20 m
Solving:
Ep= 800 J
Considering the principle of conservation of mechanical energy, the ball has 800 J of gravitational potential energy. As it is dropped, this energy will be converted into kinetic energy. Then:
800 J= 1/2× 4 kg× v²
Solving
800 J= 2 kg× v²
800 J÷ 2 kg= v²
400 m²/s²= v²
√400 m²/s²= v
20 m/s= v
Finally, the velocity of the ball will be 20 m/s.
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The pilot of a plane measures an air velocity of 45.8 m/s south relative to the plane. An observer on the ground sees the plane pass overhead at a velocity of 40.3 m/s toward the north. What is the velocity of the wind that is affecting the plane relative to the observer?
a) 5.6 m/s to the north
b) 5.6 m/s to the south
c) 45.8 m/s to the north
d) 86.1 m/s to the south
The velocity of the wind that is affecting the plane relative to the observer is 5.5 m/s north.
Option A is the correct answer.
What is the velocity of the wind relative to the observer?
The velocity of the wind relative to the observer is the velocity of the wind measured from the observer as a frame of reference.
The relative velocity of the plane from the observer as the frame of reference is calculated as follows;
Vr² = Vp² + Vw²
where;
Vr is the relative velocity of the planeVp is the plane's velocity Vw is the velocity of the windThe given parameters;
velocity of the plane, Vp = 45.8 m/svelocity of the wind, Vw = 40.3 m/sVr² = Vp² + Vw²
Vr = √(Vp² + Vw²)
Vr = √(45.8² + 40.3²)
Vr = 61 m/s
The velocity of the wind that is affecting the plane relative to the observer is calculated as follows;
Vo = 45.8 m/s north - 40.3 m/s south = 5.5 m/s north
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now the switch on the electromagnet is closed. what is the direction of the induced current in the wire loop immediately after the switch is closed (as seen from the left)?
The induced current flows the other way around. The electromagnet is closed when the switch is turned on. which way the wire loop's induced current is flowing as soon as the switch is closed.
The current that results from electromagnet induction is known as the induced current. The production of electric power relies heavily on electromagnet induction. Lenz's law, which states that the magnetic field produced by induced current opposes the magnetic field initially created by changing induced current, can be used to determine the direction of induced current.
A magnet type known as an electromagnet is one in which an electric current creates the magnetic field. Wire wound into a coil typically makes up electromagnets.
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.
If you shot your catapult on the moon, what are at least two ways this would affect how your catapult launches?
There is gravity on the Moon, just not as much as on Earth. So a catapult would be able to throw it's ammunition about six times farther than the same catapult on the Earth.
There may be gravity at the Moon, simply not as much as on the planet. So a catapult could be able to throw it's ammunition about six instances farther than the same catapult on this planet. things do not waft at the Moon. They fall, however they do fall slowly, slower than they do on the earth.
Catapults take advantage of elastic force, regarding stretched, compressed, bent, or twisted cloth. To prepare a catapult to launch a rock, it takes paintings to twist a rope, to stretch a rubber band, or bend wood.
Catapults operate the usage of projectile movement, that is a form of science referred to as Physics. Catapult physics is essentially the usage of stored strength to hurl a projectile. The three primary strength storage mechanisms are tension, torsion, and gravity.
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at what frequency would the reactance of a 15 mu or micro ff capacitor equal that of a 1.5 mh inductor?
The capacitor's reactance decreases as the frequency being applied to it rises. Similarly, the reactance value of the capacitor increases as the frequency across it decreases. The complex impedance of the capacitor is the name of this variation.
Because capacitance equals inductive reaction
Xc = XL
2*pi*frequency*L = 1/(2*pi*frequency*C)
frequency^2 = 1/(4*pi^2*L*C)
frequency = 1/2 * pi * sqrt(L*C)
frequency = 1/ (2*3.142*sqrt(1.1*10^-3*11*10^-6))
frequency = 1446.67 Hz
Reactance is the resistance that a capacitor and an inductor provide to an AC current in a circuit. Reactance and resistance are relatively similar, although reactance changes depending on the frequency of the ac voltage source. Ohms are used to measure it.
Either an increase in frequency or capacitance causes a reduction in capacitive reactance. As the frequency approaches zero in the limit, the capacitive reactance reaches an infinite value. Zero frequency for the generator implies the presence of a battery or other dc source.
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explain why spraying and asphalt road with water will make it easier to walk across and bare feet on a hot sunny day
Spraying an asphalt road with water will make it easier to walk across and bare feet on a hot sunny day because it has a high specific heat capacity.
What is Specific heat capacity?This is referred to as the amount of heat which is required to raise the temperature of the unit mass of a given substance by a given amount.
Water as a compound has a very high specific heat capacity which means that it needs a high amount of heat for the temperature to change. This therefore means that when the water is sprayed on the surface, the road doesn't become too hot and can be walked on with the barefoot which makes it the correct reason.
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On a distance vs. time graph for an object, a line segment that is sloping upward indicates (1 point)
O motion in the positive direction.
O motion in the negative direction.
Othat the object is speeding up.
O that the object is accelerating.
If the line segment is slopping up, what that means is that the object is speeding up.
What is a graph?The term graph has to do with a plot that is shown on the x - y Cartesian plane that a vertical and a horizontal axis. In the distance vs. time graph, the distance is plotted on the vertical axis and the time is plotted on the horizontal axis.
We know that a line could be drawn that joins the plots in a graph. The slope if the graph can be obtained from this line of best fit that is obtained from the graph. This line could be moving upwards or downwards.
If the line is moving downwards, it means that the slowing down but a motion in the upwards direction could mean that the object is speeding up. Thus we have an increase in the speed of the object as the object is in motion.
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Answer:
motion in the positive direction
Explanation:
Remember "a straight line indicates a constant velocity"
a 3.0-pf capacitor is connected in series with a 4.0-f capacitor and a 48-v battery. what quantity of charge is supplied by the battery to charge the capacitors?
8.2 X [tex]10^{5}[/tex]C quantity of charge is supplied by the battery to charge the capacitors.
[tex]C_{net } = \frac{C_{1} C_{2} }{C_{1} +C_{2} }[/tex]
= [tex]\frac{3\times 4}{3+4}[/tex]
= 12/17
= 1.714μ F
Q = CV
= 1.714x [tex]10^{6}[/tex] F X 48V
= 82.27x [tex]10^{6}[/tex]C
= 8.2 X [tex]10^{5}[/tex]C
What is capacitor?A two-terminal electrical device known as a capacitor is capable of storing energy in the form of an electric charge. It is made up of two electrical wires that are spaced apart by a certain amount. Suction may be used to fill the space between the conductors, or a dielectric, an insulating substance, may be used instead. Capacitance is the term used to describe a capacitor's capacity to hold charges.
Pairs of opposing charges are held apart in capacitors to retain energy. A parallel plate capacitor has the most basic construction and is made up of two metal plates with a space in between them. However, many capacitor types are produced in a wide variety of shapes, sizes, lengths, girths, and materials.
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why do you think it was initially difficult for astronomers to entertain the possibility that the spectra of quasars are highly red shifted
In the 1960s, it was proposed that quasars could be compact objects ejected quickly from the cores of adjacent regular galaxies.
Why did it take so long for astronomers to comprehend quasar spectra?Nobody anticipated that an object that resembles a star could have its spectral lines so drastically redshifted.
It's a concept that makes sense when you consider that as light's wavelength is extended, the spectral lines appear to have "shifted" toward the red portion of the spectrum.
Sound waves experience a similar effect when a source moves in relation to an observer.
As a result of the emission lines being "red shifted," astronomers initially had trouble distinguishing them in quasar spectra at optical wavelengths.
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a gyroscope slows from an initial rate of 32.0 rad/s at a rate of . (a) how long does it take to come to rest? (b) how many revolutions does it make before stopping?
the revolutions are about 116 revolutions
what is revolution?
A revolution is the movement of one thing around a centre or another object, the forcible overthrow of a government by the people, or any abrupt or large change.
Our solar system, which includes the sun, planets, and numerous asteroids, formed around 4.5 billion years ago. The gravitational collapse of a massive cloud and dust in space resulted in the formation of the solar system. This caused a disturbance in the cloud, causing clumps of gases to form due to gravity.
t=45.7s
α=116 revolutions
ω₀=32.o rad/s, ω=0
α=-0.700 r/s²
ω= ω0 +at
0=32.0r/s+ (-0.700r/s2)t
T= -32/-0.700
=45.7s
We use the equation below to find revolutions.
ω2= ω20 +2aα
substitute the values
0=(32)2 + 2(-0.7r/s2)α
α=731 rad
the rads are converted to revolutions:
α=731x1/2π
=116 revolutions
so the revolutions are about 116 revolutions
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There is a notion that our provincial ways of positing objects and conceiving nature may be best appreciated for what they are by standing off and seeing them against a cosmopolitan background of alien cultures; but the notion comes to nothing, for there is no pou sto [place to stand]
The cosmopolitan theory holds that all people belong to the same community.
Explain about the Cosmopolitan?In the center of The Las Vegas Strip, The Cosmopolitan is a one-of-a-kind luxury resort hotel and casino.
The notion that all people belong to a single community is known as cosmopolitanism. The term "cosmopolitan" or "cosmopolite" refers to its devotees. In a "universal society," people can and should be "global citizens," according to cosmopolitanism, which is both prescriptive and aspirational.
Cosmopolitan culture denotes shared politics and a diversity of cultures. Additionally, it places a strong emphasis on intercultural communication and offers those from one culture the chance to learn from others.
With more than 50 worldwide editions, Cosmopolitan, also known as Cosmo, is a monthly magazine for women. Short stories and advice-focused articles about romance, sex, fashion, entertainment, and vocations may be found in the magazine with lots of advertisements.
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if someone asked you whether their house could be heated with solar heat, what characteristics would you look for?
Solar house would have linear east-west floor designs with huge south-facing windows & roof overhangs to protect against the intense summer sun.
South-facing glass & thermal mass are the two main components of passive solar heat since they both collect, store, and disperse heat. The methods for putting such aspects into practice vary. A solar collector, thermal absorber, and distribution system make up the real living area.
This collection includes sizable circular or linear seating components that come with adjustable backrests and corner backrests.
The ideal windows for daylighting are those facing south. They provide all-day illumination and are less affected by heat and glare than windows with an east or west orientation.
The eaves of the house or the rafters on your roof are two names for this overhang. When this overhang is done, the bottom is referred to as the soffit, meaning literally translates to "something attached beneath".
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a toy train is traveling along a circular track at a constant speed. the acceleration of the train is found to be 8.0 m/s2 . if the radius of the track is 0.5 m, what is the speed of the train?
The speed of the toy train travelling on a circle-shaped track is 2.0 m/sec also called velocity of the train.
How to find Speed ?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.Circular motion is defined as the movement of an object when its distance from the centre remains constant.The object is rotating in a circle at a constant speed; therefore, when the direction of motion changes, the velocity changes.When a moving object changes direction while maintaining its speed, it experiences a centripetal acceleration (ac), also referred to as a radial acceleration since it acts at right angles to the velocity at any given moment and is directed toward the centre of a circle.The formula for centripetal acceleration is a = v2 / r, where a stands for acceleration, v for velocity, and r for radius. Rearranging terms:
v = sqrt(ra)
v = sqrt( [0.5 m * 8.0 m/sec^2] )
v = sqrt( 4.0 m^2/sec^2 )
v = 2.0 m/sec
The speed of toy train is 2.0 m/sec
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if sarah applies a force of 17.0 n to the end of a 35 cm lever at an angle of 25 degrees, what will be the torque exerted on the lever?
The torque that will be exerted on the lever is 2.49 N-m.
The torque on the rod is given by,
T = F x a
Where,
T is the torque,
F is the applied force,
a is the perpendicular distance from the end of the rod.
T = F.s.sinA
The force that Sarah applied is 17 N and s is the distance from one end of the lever is 0.35 m,
The angle at which the force is applied is 25 degrees.
Putting the values,
T = 17 x 35 x sin(25)
T = 2.49 N-m
So, yes, there will be a torque of magnitude 2.49 N-m.
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A 0. 0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89. 0 n on the arrow over a distance of 0. 782 m, with what speed does the arrow leave the bow?.
The arrow leaves the bow at a speed of 40.47 m/s.
When the arrow is released from its bow, the arrow will move and accelerate. Newton's second law of motion applies to the arrow. The formula F = ma
m = mass of the arrow (kg) = 0.0850 kga = acceleration of the arrow (m/s²)F = force (N) = 89.0 N[tex]a \:=\: \frac{F}{m}[/tex]
[tex]a \:=\: \frac{89.0}{0.0850}[/tex]
a = 1,047.059 m/s²
When the object has acceleration, the object will move in a non-uniform motion. The formula
v = u+atv² = u² + 2ad[tex]d \:=\: v_0 \times t \:+\: \frac{1}{2} \times a \times t^2[/tex]u = initial speed (m/s) = 0 m/s (arrow stationary in bowstring)v = final speed (m/s) a = acceleration (m/s²) = 1,047.059 m/s²t = interval (s)d = distance (m) = 0.782 mv² = u² + 2ad
v² = 0² + (2×1,047.059×0.782)
v² = 1,637.6
[tex]v_t \:=\: \sqrt{1,637.6}[/tex]
[tex]v_t[/tex] = 40.47 m/s
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At what time after the discharge begins is the charge on the capacitor reduced to half its initial value?.
The time it takes for the energy stored in the capacitor to be reduced to half its initial value is 0.00693 seconds.
What is meant by capacitor?A capacitor is a device that stores electrical energy in an electric field by accumulating electric charges on two insulated surfaces. It is a two-terminal passive electronic component. Capacitance is the effect of a capacitor.
The time it takes for the energy stored in the capacitor to be reduced to half its initial value is calculated as follows.
Q=Q₀[tex]e^{-t/RC}[/tex]
the time constant, RC = 10 ms = 0.01 s
Q₀ is the initial charged stored
Q is the final charge of the capacitor
Q₀/2=Q₀[tex]e^{-t/RC}[/tex]
Q₀/2Q₀=[tex]e^{-t/RC}[/tex]
1/2=[tex]e^{-t/RC}[/tex]
㏑(1/2)=-t/RC
㏑(1/2)=-t/0.01
-0.693=-t/0.01
t=o.00693 s
Thus, the time at which the energy stored in the capacitor will reduce to half of its initial value is 0.00693 s.
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The complete question is:
"The capacitor in an RC circuit is discharged with a time constant of 10.0ms. At what time after the discharge begins is the charge on the capacitor reduced to half its initial value."
what sound characteristics can be compared between the two ears to locate the source of a sound shadows and pitch loudness and phase frequency and loudness we cannot localize sounds well
In order to determine where a sound is coming from,These signals include the ear the sound strikes first and the volume of the sound when it reaches each ear .
What sound characteristics can be compared between the two ears to locate the source of the sound?In order to determine where a sound is coming from, humans rely on two key clues.
These signals include the ear the sound strikes first (interaural temporal differences) . Thhe volume of the sound when it reaches each ear (known as interaural intensity differences).The relative intensity of high-frequency sounds (the shadow effect), the difference in arrival timings between the ears, and the asymmetrical spectral reflections off our bodies' torso, shoulders, and pinnae are all indicators of a sound's azimuth.To learn more about sound refer,
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A spherical object has a certain density. If it is compressed under high pressure to half of its original diameter, its density will now be.
To calculate the density, known the volume and density formula.
What is density?
How tightly a material is packed together is determined by its density. The definition of it is the mass per unit volume. Density Formula: D = m/V, where D stands for density, m for mass, and V for volume, denotes the mass and volume of the object, respectively.
What is volume?
Any three-dimensional solid's volume is simply the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.
Let mass of the sphere be m and radius be r, then,
m= v × p ∴ v= volume
or
m= 4/3πr³× p⇒1
now new diameter, d¹= 1/4d and d=2r
so, d¹= 1/4 × 2r⇒ d¹=1/2r also,
d¹=2r¹ so, 2r¹ = 1/2r⇒ r¹= 1/4r
logs is same, there is no change in it then,
m=v¹×p¹
m=4/3πr¹^3ₓp¹
or m=4/3π(1/4r)^3×p¹⇒2
(1) is equal to (2) so,
4/3π(1/4r)^3×p¹=4/3πr^3×p
1/64r^3×p¹ = r^3×p
p¹=64p
Therefore denisty will be 64.
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a proton, traveling with a velocity of 4.1 106 m/s due east, experiences a magnetic force that has a maximum magnitude of 8.8 10-14 n and a direction of due south. what are the magnitude and direction of the magnetic field causing the force?
A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force.
Magnetic Force:
A particle travelling at a specific speed through a magnetic field experiences a force known as the magnetic force. This relates to the cross-product of the magnetic field and velocity.
Answer and Explanation:
(a) The magnetic force is given by
F=qvBsinθ
q=1.60×10−19C , the charge of a proton
v is the velocity
B is the magnetic field
θ is the angle between the velocity and the magnetic field. Since the magnetic force is at maximum, then the velocity and the magnetic field is perpendicular.
Solving for the magnetic field:
B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T
By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.
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A particle travelling at a specific speed through a magnetic field experiences a force understood as the magnetic force.
What is Magnetic Force?The magnetic force is a force that is felt by a particle moving in a magnetic field at a particular speed. This has to do with the magnetic field and velocity's cross-product.
(a) The magnetic force is given by
F=qvBsinθ
q=1.60×10−19C , the charge of a proton
v is the velocity
B is the magnetic field
The angle between the magnetic field and the velocity is called. The magnetic field and velocity are perpendicular because the magnetic force is at its greatest.
B=F/qvsinθ= 9.0×10−14N/ (1.6×10−19 C)(3.7×106 m/s)sin90∘=0.15 T
By the right-hand rule, the direction of the magnetic field is upward, perpendicular to the earth's surface.
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which statements are true, concerning jupiter as compared to the other planets in our solar system? (may be more than one correct answer)
Out of all the planets, Jupiter has the most mass. Of all the planets, Jupiter has the strongest magnetic field. Of all the planets, Jupiter rotates the most quickly.
Jupiter rotates most quickly where?With a rotational velocity of 28,273 miles per hour (or 43,000 kilometers per hour), Jupiter's equator rotates a little more quickly than its polar regions. Jupiter's day ranges from 9 hours, 56 minutes near the poles to 9 hours, 50 minutes towards the equator. As the largest planet, Jupiter has the gravitational ability to draw in the most mass as it travels through space, making it the planet with the quickest rotation. Jupiter acquires the angular momentum of whatever mass it comes into contact with, including gas, dust, and rock, in addition to the mass itself. One rotation of Jupiter, for instance, takes 9 hours and 55 minutes, although it rotates at a speed that is 27 times quicker than Earth's at its equator.
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an art student is designing a large mobile with the dimensions shown below. object c has a mass of 1 kg, and objects b and c are in balance. what does the mass of object a need to be to balance objects b and c?
The mass of object a need to be to balance objects b and c is 12kg
Find man of b
1=[tex]\frac{m_{c}}{m_{b}+m_{c}}[/tex]×4
1=[tex]\frac{1}{1+m_{b} }[/tex]×4
[tex]m_{b}[/tex]=3kg
1=[tex]\frac{(m_{b}+m_{c} )}{m_{a} +(m_{b} +m_{c} )}[/tex] ×4
1=4×4/[tex]m_{a}[/tex]+4
[tex]m_{a}[/tex]=12kg
As a measure of inertia, which is a fundamental characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body. The kilogram is the measure of mass in the International System of Units (SI). Its definition is based on the Planck constant, which is set at 6.62607015 1034 joule second. The unit of energy known as a joule is one-kilogram times one square meter per second. The kilogram is determined by precise measurements of Planck's constant, while the second and metre are previously defined in terms of other physical constants.
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you hang 200 grams on the 10-cm mark and 400 grams on the 80-cm mark. if the meter stick has a mass of 100-g where should you clamp the meter stick so that it is in balance?
the meter stick so that it is in balance is 56 cm
Taking the equilibrium of Torque about C
200g (40 + x) + 100g x = 400g (30 - x)
200 (40 + x) + (100) x = (400) (30 - x)
x = 5.71
so location = 50 + 5.71 = 55.71 cm = 56 cm
chemical equilibrium is the state during a reversible chemical process where there is no net change in the amounts of reactants and products. When a chemical reaction is reversible, the products react with the original reactants as soon as they are created. There is no net change in the quantity of the constituent substances when the two opposing processes are in equilibrium because they are occurring at identical rates or velocities. The reaction may now be regarded as being finished, meaning that the maximal amount of reactants to products has been converted under the given reaction conditions.
It is possible to quantify the equilibrium-related conditions. For instance, in the reversible reaction A B + C,
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2. in an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp. they roll up the ramp, reverse direction at the highest point, then roll backward back down the ramp. in each of the following segments of the motion, which way does the acceleration vector point? a. as the cars roll up the ramp. b. at the highest point on the ramp. c. as the cars roll back down the ramp
The acceleration is going to be down the ramp as the cars roll up it and it's the same direction. In all 3 cases.
What is acceleration ?Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes :
The magnitude of the net resulting force is directly proportional to the net balance of all external forces acting on that object.Depending on the materials used to create it, an object's mass is inversely related to its magnitude.A linear acceleration is the acceleration of the car in the direction it is moving, and it causes the passengers to feel a force pushing them back into their seats.
The acceleration that is used when changing direction is referred to as radial acceleration, and the reaction that the passengers feel is a centrifugal force.
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a 0.13- kg block on a wooden table is given a sharp blow with a hammer. the block then slides across the table to a stop. the coefficient of friction between the block and table is 0.33. the hammer's force on the block as a function of time is well approximated by an isosceles triangle with it's base on the horizontal time axis. the length of the base is 0.0067 s and the maximum force is 37.6 n. how far does the block go? use a graphical technique
The length of the base is 0.0067 s and the maximum force is 37.6 n.1.45 ×10^-1 m far does the block go.
When we use graphical method then we can feel that, here the area of the isosceles triangle will give us the change in the momentum, also as here the initial velocity is zero,
so that let the final velocity is V then,
we have
m*V= area of the triangle
or
0.13* V = area of the triangle = 1/2 * base * height =0.5*0.0067*37.6= 0.1258 kg m/s
so V = 0.968 m/s
the frictional force is = mg(0.33)
let the distance required is X then using conservation of energy here we have
KINETIC ENERGY = FRICTIONAL ENERGY.
1/2mV2 = mg(0.33) *X
X= V^2 / ( 2g*0.33) = 0.1450 m = 1.45 ×10^-1 m
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A lorry travels 10km northwards, 4km eastwards, 6km southwards and 4km westwards to arrive at point T. What is the total displacement?
5.28 ** a massless spring is hanging vertically and unloaded, from the ceiling. a mass is attached to the bottom end and released. how close to its final resting position is the mass after 1 second, given that it finally comes to rest 0.5 meters below the point of release and that the motion is critically damped?
The motion is critically damped is 0.69 m.
What is meant by mass of object?The mass of a body is the amount of matter it contains. It is a scalar value. Weight: A body's weight is the force with which the earth attracts it. It is the effect of gravity.
The property of matter that measures its resistance to acceleration in physics. The mass of an object is roughly equal to the number of atoms in it. The kilogram is the fundamental unit of mass measurement. Weight = mass multiplied by gravity's acceleration
critically damped: βω0.
x = [tex]$\left(C_1+c_2 t\right) e^{-\beta t}$[/tex] = 2 J t = 0
[tex]$\dot{x}=\left(c_1+c_2 t\right)\left(-\beta e^{-\beta b}\right)+c_2 e^{-\beta t}$[/tex] = 0 st = 0
[tex]$c_1=2 . \quad c_2=\beta \cdot 2$[/tex]
Now, [tex]$\omega_0=\sqrt{\frac{b}{m}}$[/tex]
Let the equation be mg = k . 2
so, √g/2 = √k/m = [tex]$\omega_0$[/tex]
[tex]$c_1[/tex] = 2, [tex]$c_2[/tex] = √(8/2) × 2 = 2√5
x = [tex]$(2+2 \sqrt{5} t) e^{-\sqrt{5} t}$[/tex] or [tex]$(2+2 \sqrt{3}) e^{-\sqrt{s}}$[/tex] = 0.69 m
Therefore the motion is critically damped is 0.69.
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Evaluate the sentence.
“Before the current can flow, the battery must first fill the wire with electrons.”
Correct or incorrect? Why?
Current is generated from the flow of electrons. To generate current the circuit must be complete. Hence, the battery must fill with the wire of electrons.
What is battery?A battery is an electrical component to power electronic devices. It is working with the principle of electrolysis. Where an electrolyte is used in which the two electrodes are dipped.
A redox reaction taking place there generate a chemical energy and which then converted to the electrical energy.The electron flow must be connected to a complete circuit.
Hence, without filling the electron in the battery it may not work. When it is connected with the wire to the external circuit it will passes the current to the devices.
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