Therefore, U equal to cV T represents the change in internal energy for an ideal gas, where cV stands for specific heat (at constant volume) and T for change in temperature.
Calculate its increase in temperature ?Increase in temperature is 0.0176 degree Celsius. b. the remaining energy will be lost.
The mass of copper block = 1.8kg
Initial speed = 3.1 m/s
Specific heat of copper = 0.385 j/g degree Celcius.
a. The increase in temperature is calculated below:
Change i kenetic energy = 1/2mv²
= 1/2 *1.8*4²= 14.4J
85% of energy is converted into internal energy.
mc =14.4*0.85
1.8*385 = 14.4*0.85
12.24/693
=0.0176
The remaining 15 per cent of kinetic energy will be lost and it will be changed into other forms.
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a ball tied to the end of a string is being whirled around in a circle at constant speed. what can you say about the work done by the tension in the string on the ball?
The work done by the tension in the string on the ball - tension does no work at all is the correct answer.
What is tension in the string?The forces tugging on the rope from either end cause the tension in a particular strand of string or rope. Keep in mind that force is defined as mass times acceleration. If the rope is stretched tightly, any change in the mass or acceleration of the objects it is supporting will result in a change in the tension of the rope.
A force known as tension is particularly effective on medium-length materials like rope and cable that are also flexible. A gravitational force still exists in tension. When the body is traveling upward, the tension is denoted by the formula T = W + ma. The thickness is the same as T = W - ma when the body descends.
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the apple is then moved to a deeper point in the water. compared with the force needed to hold the apple just below the surface, what is the force needed to hold it at the deeper point?
Both depths will take the same amount of force to hold the apple underwater.
Explain about the force?Both depths will take the same amount of force to hold the apple underwater. Although the pressure on the top of the apple will also increase as the depth does, the pressure on the bottom of the apple will be greater. No of the depth, the net difference will remain the same. The force will therefore remain constant.
Science has a precise definition for the word "force." A force of this magnitude can be described as either a push or a pull. A force is not something that an object "has in it" or "contains." A force from another object can affect something else. The idea of a force does not distinguish between living and non-living things.
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On a cold, winter day, sheena rubs her hands together. Some of the energy is also transformed into which form of energy?.
a hybrid electric vehicle is submerged under water. a rescue squad member consults automotive technicians for information regarding safety precautions. technician a says that there is no danger of electrical shock from touching the body of the vehicle or the frame in or out of the water. technician b says that the vehicle will detect a ground fault and open the hv relays. which technician is correct?
All lines carrying current to and from a motor are passed through the window of a specialized current transformer known as a ground fault sensor in order to detect ground fault current.
Explain about the ground fault detected?Ground fault relays (or sensors) are used to detect ground faults with low magnitude. The control system instructs the circuit disconnect to open when the G.F. relay pick up setting is reached by the ground fault current magnitude and time.
An overvoltage relay can therefore be fitted to either directly monitor the voltage at the wye point or to detect the secondary voltage of a transformer that has been installed between the wye point and ground in order to identify the fault
No appreciable current will be created in the sensor secondary if all of the current to the motor returns through the lines in the sensor window.
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please I'm so hurry
What is it answer this question ?
A disk rotates with rotational kinetic energy is 70J and the angular momentum is 30 kg.m2/s .what is the value moment of inertia the disk?
A) 6.4 kg.m2
C) 40 kg.m2
B) 2.3 kg.m2
D) 0.43 kg.m2
Answer:
The value moment of inertia the disk:
I = 6.4 kg·m²
Explanation:
Given:
Tk = 70 J
L = 30 kg·m² / s
_____________
I - ?
Rotational kinetic energy:
Tk = I·ω²/2
Angular velocity:
ω = √ (2·T / I)
Angular moment of a rotating body
L = I·ω = I·√ (2·T / I) = √ (2·T·I² / I ) = √ (2·T·I )
Raising to the second degree:
L² = 2·T·I
The value moment of inertia the disk:
I = L² / (2·T)
I = 30² / (2·70) ≈ 6.4 kg·m²
А) 6.4 кг·м²
How long does it take an automobile traveling 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially 114 m apart?
The time it will take an automobile traveling at 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially a distance of 114 m apart is 19.1 seconds.
What time will it take for two cars traveling at different speeds to be at the same distance?The time that it will take for the two cars traveling to at the same distance can be calculated below as follows:
Let the time it will take the second automobile be T.
the distance traveled by first car = d
distance traveled by second car = d + 114 m
Time = distance / speedTime taken by first car = d / 41.0
Time taken by second car = d + 114 / 62.5
The two times are equal, hence;
d / 41.0 = d + 114 / 62.5
41d + 4674 = 62.5d
21.5d = 4674
d = 217.4 m or 0.2174 km
distance traveled by second car = 0.2174 + 0.114
distance traveled by second car = 0.3314
Time taken by second car = 0.3314 / 62.5
time taken by second car = 0.0053 hours or 19.1 seconds
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How does the kinetic theory explain the following? (a) A gas exerts a pressure on its container walls. (3marks)
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proton traveling with speed 4 105 m/s in the y direction passes through a region in which there is a uniform magnetic field of magnitude 0.9 t in the z direction.you want to keep the proton traveling in a straight line at constant speed. to do this, you can turn on an apparatus that can create a uniform electric field throughout the region.what electric field should you apply?magnitude: ||
The electric field should be applied is 3,694.5 .
As we know from electromagnetic theory we have a relation with electric field and magnetic field with force, which is
F = qE + qv x B
or we can write that
F = qE + qvBsinФ
To allow proton to move with the constant speed, we need to apply zero external force
It means F = 0
or we can write that
qE = -qvBsinФ
putting the appropriate values, we get
E = 4105 x 0.9
E = 3,694.5
Hence the magnitude of the electric field is 3,694.5 .
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if you use a horizontal force of 30 n to slide a 12 kg wooden crate across a floos at a constant velocity, what is the coefficient of kinetic friction betweem the crate and the floor?
To use the kinetic friction force formula.
What is kinetic coefficient friction?
The proportion of contacting surfaces' kinetic friction forces to normal forces is known as the coefficient of kinetic friction.
What is acceleration?
Any process that causes a change in velocity is referred to as an acceleration. Since velocity depends on both speed and direction, you can only accelerate by changing either one or both.
Fn = 12kg* 9.81 m/s^2 = 117.7 N
since there is no acceleration, friction must equal the horizontal force
30N = 117.7*μ
μ = .255
Therefore, the coefficient of kinetic friction between the crate and the floor is 255.
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the current on a solenoid is 3 a, the radius of the windings are 2 m , length of the solenoid is 10m , number of windings is 100. calculate the self inductance of this solenoid.
The self inductance of a solenoid is 157.9 * [tex]10^{-4}[/tex] H
Self inductance is defined as the property of a current-carrying coil that resists or prevents the current passing through it from changing.
• It is represented by L
• The unit for the self inductance is Henry denoted by H.
• Mathematically, it is L = ц[tex]N^{2}[/tex]A / l
where
ц is the vacuum permeability = 4π * [tex]10^{-7}[/tex]
N is the number of turns of the solenoid = 100
A is the area of one loop of the solenoid = π [tex]r^{2}[/tex]
( r = 2m )
A = π [tex]r^{2}[/tex] = 4π
l is its length
So the self inductance of the solenoid will be
L = 4π * [tex]10^{-4}[/tex] * 100*100 * 4π / (10)
L = 16π² * [tex]10^{-4}[/tex] H
L = 157.9 * [tex]10^{-4}[/tex] H
The self inductance of this solenoid is 157.9 * [tex]10^{-4}[/tex] H
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Emry weighed her empty backpack with a spring scale. She found that the pack weighed 8.1 N. Suppose she picks up her backpack from a desktop and lifts it through a height of 42 cm. How much gravitational potential energy does the backpack gain? (show the steps you followed to solve the problem - ie. the formula, calculations, and final answer) ROUND YOUR ANSWER TO 1 DECIMAL PLACE.
The gravitational potential energy is equal to 8.1 Newton times 0.42 meters is 3.402 joules.
What is meant by gravitation potential energy?Gravitational potential energy refers to the energy that an object has or obtains when its position changes as just a result of being surrounded by a gravitational field. An energy that is linked to gravitation or the gravitational field is known as gravitational potential energy.
Briefing:The energy that any object stores as a result of its position is known as gravitational potential energy.
The gravitational Potential energy is = mgh
Where m= mass
g = gravitational acceleration
h= height
The height of bag uplift = 42cm =0.42 meters
Now we have the weight which is 8.1 N
Weight in Newton = mass × gravitational acceleration
So if we have weight, Potential energy is = w×h
Therefore, after 42 cm of uplift, the gravitational potential energy is equal to 8.1 Newton times 0.42 meters, or 3.402 joules.
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a 0.145- kg baseball with an initial speed of 28 m/s rebounds with a speed of 33 m/s after being struck with a bat. if the duration of contact between ball and bat was 1.7 ms, what was the magnitude of the average force between ball and bat?
Linear momentum is a vector quantity defined as p=mv
where m is the body mass and v
its vector velocity. A body may undergo changes in linear momentum. Suppose a particle changes its initial momentum from pi to a final momentum pf, during a time Δt. We have
ΔpΔt=mvf−mviΔt=mΔvΔt
=m⟨a⟩
where ⟨a⟩=ΔvΔt
is an average acceleration, and we can identify the result above as the average force acting on the particle during the change in momentum:
⟨F⟩=ΔpΔt
Answer and Explanation:
A baseball has mass
m=0.145kg. Consider the x-axis defined in the figure below. We can write the ball's initial...
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Linear momentum is a vector quantity defined as p=mv.
What is magnitude of the average force?Units of mass times length over time squared are used to express the strength of a force. The most used unit in metric measurements is the newton (N), which is equal to one kilogram times one meter over one second squared.
its vector speed. Linear momentum can alter for a body. Let's say a particle undergoes a time-dependent shift in momentum from pi to pf. To date,
ΔpΔt=mvf−mviΔt=mΔvΔt
=m⟨a⟩
where where a=vt
is a typical acceleration, and the outcome shown above can be interpreted as the typical force exerted on the particle during the change in momentum:
⟨F⟩=ΔpΔt
A baseball has mass m=0.145kg. Consider the x-axis defined in the figure below. We can write the ball's initial.
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Refrigerant-134a is expanded adiabatically from 100 psia and 100°f to a pressure of 10 psia. Determine the entropy generation for this process, in btu/lbm·r.
To know adiabatically process to calculate the entropy generation.
What is entropy?
Entropy is the amount of thermal energy per temperature unit in a system that cannot be used to carry out practical work. Entropy also functions as a stand-in for a system's molecular disorder or unpredictability because work is generated by ordered molecular motion.
What is an adiabatic process?
The thermodynamic process in which neither the system's expansion nor its compression causes heat to be transferred to its surroundings.
R- 134 a
at p₁= 100 psia, T₁= 100°f and p₂= 10 psia
using steam table A-13E
at p= 100psia, at T= 100°f
H₁= 118.90 btu/lbm s₁= 0.229 btu/lbm-°r
at it expanded adiabatically, therefore entropy will be constant
∴ h₁= h₂= 118.9 btu/lbm
∴ at p₂= 10 psia
using steam table A-13E
at p= 10 psia
T°f h(btu/lbm) s(btu/lbm-°r)
60 115.67 0.26531
80 119.68 0.27288
as we can see the h₂ is lie between 60°f and 80°f
by interpolation, we can find s₂
115.67-h₂/115.67-119.68=0.26531-s₂/0.26531-0.27288
115.67-118.9/115.67-118.9=0.26531-s₂/0.26531-0.27288
S₂= o.27288(btu/lbm-°R)
Entropy generation
Δs= s₂-s₁
=0.27288-0.229
Δs= 0.04388(btu/lbm-°R)
Therefore, the entropy generation is 0.04388(btu/lbm-°R)
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Special effects experts want the largest explosion that is safe for the people on set. Knowing that the energy of a wave is proportional to its amplitude squared helps them mathematically model the energy of the explosion and the amplitude of the blast wave. How does this knowledge help them determine where to place the actors and crew?
AP physics 1: Extra points!!
Tension force, Friction and gravity are acting on acrobat player while hanging in middle.
Tension is a contact force that is transmitted via a rope, thread, wire, or other similar material when pressures on the opposing ends are pulling on it. For example, the rope holding a tire swing to a tree limb is strained. The rope is pulled upward by a branch that is fighting the rope's tug tension, which is merely a pulling force, while the rope is pulled downward by gravity. Pushing on a loose rope creates no strain. As a result, the force of tension must always be represented in the direction that the string is pulling the object in a free-body diagram.
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looking at your spectroscope, you see several discrete, clearly defined lines. what is one possible source for this spectrum
Looking at your spectroscope, you see several discrete, clearly defined lines. The one possible source for this spectrum is fluorescent lamp.
What is fluorescent lamp?
A fluorescent lamp is a low pressure mercury lamp or discharge bulb. When the light spectrum emitting from the fluorescent bulb fall on the spectroscope, it releases several discrete lines.
In this lamp, fluorescence source is used which produces visible light when it lights up.
Moreover, a fluorescent lamp alters electrical energy into chemical energy or light more efficiently than the incandescent lamp.
Simply put, fluorescent lamps are more efficient than other lamps and are mostly used for commercial and outdoor application as they use 75% less electricity.
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A charging bull has a kinetic energy of 3,848 J and a mass of 267kg. How much work has to be done to stop the bull?
3848 J work has to be done to stop the bull.
The kinetic energy of an item is the energy that it possesses due to its movement. it's miles defined because the work had to accelerate a body of a given mass from relaxation to its said velocity. Having won this power in the course of its acceleration, the frame continues this kinetic energy unless its velocity adjustments.
Kinetic energy is the electricity an item has due to its movement. If we need to boost up an item, then we have to apply pressure. applying a force requires us to do paintings. After paintings have been achieved, strength has been transferred to the item, and the item may be transferred with a new consistent speed.
Calculation:-
work done = change in kinetic energy
= final kinetic energy - initial kinetic energy
= 1/2mVf² - 1/2mVi²
= 0 - (3,848 )
= 3848 J
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four amperes of current exist in the primary coil of a transformer. the voltage across the primary coil is 120 v. what is the power output of the secondary coil?
480 W is the power output of the secondary coil.
primary coil current = ip = 4A
primary coil voltage = vp = 120v
power out put of secondary coil
p = vi
= 120v * 4A = 480W.
What is power?Power is the amount of work completed in a given amount of time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.
The rate at which work is performed on an object is referred to as its power. Power is a temporal concept. It has to do with how quickly a task gets completed. The power equation is described below.
Power = Time + Work
P = W / t
The standard metric unit for power is a Joule/second, which is defined as the product of the standard metric units of work (the Joule) and time (the second).
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a conductor having no covering or electrical insulation whatsoever is defined in the nec as a(n) ? conductor
A conductor having no covering or electrical insulation There is absolutely no electrical insulation or coating on a conductor is bare.
Any object used as insulation in a building for thermal management is known as building insulation. The term refers to acoustic, fire, and impact insulation in addition to the majority of insulation used in buildings, which is for thermal purposes. Because it can accomplish several of these tasks at once, insulating materials are frequently used.
Building insulation is a crucial investment in both the economy and the environment. Insulation reduces the energy needed to heat and cool a building, as well as the thermal turbulence that its occupants experience. Adding more insulation to existing structures is a key strategy for reducing greenhouse gas emissions, particularly in regions where energy production is carbon-intensive.
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a cylinder and a hoop have the same mass and radius. they are released at the same time and roll down a ramp without slipping. 1)which one reaches the bottom first?
The cylinder will reach the bottom first.
How to Calculating the acceleration?In this case, the body acceleration should be applied to the incline.
Therefore, the equation listed below should be utilized.
gsin / (1 + k2 / r2) = a
Here
K is the gyrating radius.
r is the radius, and
Now
in hoop
k = r
gsin / (1 + r2 / r2) equals a.
= g / 2 x sinθ
0.5 gsinθ
as cylinder
k² = r² /2
A is equal to gsin / (1 + r2 /2 r2).
= 2 / 3 g sinθ
= .67 g sinθ
We can observe that the cylinder is more responsible for the acceleration.
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a solid disk of mass m and radius r undergoes an acceleration a. a second disk also with a mass m only accelerates at a/4 when the same torque is applied. what is the radius of the second disk?
A solid disk of mass m and radius r undergoes an acceleration a The radius of the second disk is 4m.
The resistance of the body to acceleration (change of velocity) in the presence of a net force is also measured. The gravitational pull of an object to other bodies is also influenced by its mass.
The kilogramme serves as the mass basis unit in the SI (kg). In physics, mass is not the same as weight, despite the fact that weight is frequently measured using a spring scale as opposed to a balance scale and direct comparison with known masses to calculate mass. The lower gravity on the Moon causes an object to weigh less than it does on Earth, but it still has the same mass. Given that mass is a property of space rather than a force.
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what did the herschels find when they counted stars in 683 regions around the milky way? about the same number of stars in each direction. many more stars are in the direction of the constellation sagittarius than in any other direction in the milky way. the doppler shifts in stellar spectra are about half redshifted and half blueshifted. the mass-luminosity relationship for main sequence stars. that the sun is moving toward the constellation cygnus.
The sun is moving toward the constellation Cygnus, as discovered by Herschel when they counted stars in 683 regions around the Milky Way.
One of the significant discoveries made by Galileo in his Sidereus Nuncius in 1610 was that, when viewed through a telescope, some of the Milky Way resolved into a cluster of numerous stars.
The Sun is the darker star towards the image's center. Herschel has indicated its location in the image above. Herschel's research leads to the conclusion that the Sun is situated at or close to the Milky Way's center.
The Milky Way galaxy is the home of the Sun. About 100,000,000,000 stars are thought to be present in the Milky Way alone, according to astronomers.
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A 0.1 kg ball is kicked from the edge of a cliff so that it attains a launch speed of 20 m/s at an angle of 37 to the horizontal, as shown above. On the axes below, sketch a graph of the vertical component of the ball's velocity as a function of time for the first 3 s of motion.
The graph of the vertical component of the ball's velocity is in the attachment
What is speed?Speed is the distance moved per unit time.
What is velocity?Velocity is the total displacement per unit time of an object.
How to sketch a graph of the vertical component of the ball's velocity as a function of time for the first 3 s of motion?Since a 0.1 kg ball is kicked from the edge of a cliff so that it attains a launch speed of 20 m/s at an angle of 37 to the horizontal, as shown above. To determine the vertical component of velocity,we use the equation of motion
v = u - gt where
v = final vertical component of velocity, u = initial vertical component of velocity = u'sinФ where u' = initial launch speed = 20m/s and Ф = angle above horizontal = 37°, g = acceleration due to gravity = 9.8 m/s² and t = timeSo, substituting the values of the variables into the equation, we have
v = u - gt
v = u'sinФ - gt
v = (20 m/s)sin37° - (9.8 m/s²)t
v = (20 m/s) × 0.6018 - (9.8 m/s²)t
v = 12.04 m/s - (9.8 m/s²)t
So, for the first 3 seconds, we have
for t = 0 s
v = 12.04 m/s - (9.8 m/s²) × 0 s
v = 12.04 m/s - 0 m/s
v = 12.04 m/s
for t = 1 s
v = 12.04 m/s - (9.8 m/s²) × 1 s
v = 12.04 m/s - 9.8 m/s
v = 2.24 m/s
for t = 2 s
v = 12.04 m/s - (9.8 m/s²) × 2 s
v = 12.04 m/s - 19.6 m/s
v = -7.56 m/s
for t = 3 s
v = 12.04 m/s - (9.8 m/s²) × 3 s
v = 12.04 m/s - 29.4 m/s
v = -17.36 m/s
So, we plot the graph of the vertical component of the ball's velocity using the equation v = 12.04 m/s - (9.8 m/s²)t
Find the graph in the attachment
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If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, how much force will be
needed to accelerate the box 5 m/s2? If the same force is used, what will the acceleration be if the girl hops off the box?
If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, 30.61 N force will be needed to accelerate the box 5 m/s2
Total weight = 10 + 50 = 60 kg
weight = mg
60 = m * 9.8
m = 6.122 kg
Force = ?
acceleration = 5 [tex]m/s^{2}[/tex]
Force = mass * acceleration
= 6.122 * 5 = 30.61 N
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A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the average power input to the wheel during this time interval (hint: power = work / time)?
A:[tex]\frac{I^{2}\omega_{f} }{2T^{2} }[/tex]
B: [tex]\frac{I\omega^{2}_{f} }{2T^{2} }[/tex]
C: [tex]\frac{I\omega_{f}} {2T}[/tex]
D: [tex]\frac{I\omega^{2}_{f} }{2T}[/tex]
The average power input to the wheel during this time interval is (Iω²) / (2T).
option D is the correct answer
What is average power?The average power input to the wheel during this time interval is the rate at which work is done by the wheel or the rate at which energy is expended.
Mathematically, the formula for average power is given as;
P = energy / time
Based on work - energy theorem,
work done by the wheel = change in energy of the wheel
Energy of the wheel due to the rotational torque is given as;
E = ¹/₂Iω²
where;
I is the moment of inertia of the wheelω is the angular speed of the wheelPower = E/T
power = (Iω²) / (2T)
where;
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what is the relationship between gauge pressure and true pressure? what is the relationship between gauge pressure and true pressure? gauge pressure is larger than true pressure. gauge pressure is smaller than true pressure.
The relationship between gauge pressure and true pressure is Pg + Patm = Pabs
The pressure that is relative to atmospheric pressure is known as gauge pressure. Gauge pressure is regarded to be positive for pressures above atmospheric pressure and stated to be negative for pressures below atmospheric pressure. Atmospheric pressure is used as the reference point for gauge pressure.
It is possible to define gauge pressure as the difference between absolute pressure and atmospheric pressure.
Pg + Patm = Pabs
A pressure gauge is a device used to measure the pressure exerted by a fluid, which can be liquid or gas, per unit area. This pressure is expressed in terms of Newton per square meter or pounds per square inch. Absolute pressure is denoted as Pabs, atmospheric pressure as Patm, and gauge pressure as Pg.
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What is the acceleration of an object with mass of 42.6 kg when an unbalanced force of 112 N is applied to it?
Responses
A 4771.2 m/s24771.2 m/s 2
B 2.63 m/s22.63 m/s 2
C 0.3800 m/s20.3800 m/s 2
D 69.4 m/s2
The acceleration of an object with mass of 42.6kg when an unbalanced force of 112 N is applied to it is 2.63m/s² (option B).
How to calculate acceleration?Acceleration in physics is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
The acceleration of a moving body can be calculated by dividing the force applied to move the object by its mass as follows:
a = F/m
According to this question, an object with mass of 42.6kg was moved by an unbalanced force of 112 N. The acceleration required can be calculated as follows;
a = 112N ÷ 42.6kg
a = 2.63m/s²
Therefore, 2.63m/s² is the acceleration of the object.
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a space vehicle is traveling at 5800 km/h relative to the earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 74 km/h relative to the command module (mass m). what is the speed of the command module relative to earth just after the separation?
Speed of the command module relative to earth just after the separation is 5785.2Km/h
Velocity of speed of Vehicle = 5800km/h
mass = 4m + m = 5m
relative velocity = v2 - v1 = 74 km/h
v2 = 74 + v1
using conservation of momentum,
(5800)(5m) = 4m(v1) + m(v2)
V1 = 5785.2km/h
Momentum in Newtonian physics is defined as the sum of an object's mass and velocity, or more specifically, as its linear momentum or translational momentum. As a vector quantity with both a magnitude and a direction, it has both. The momentum of an item is expressed as follows: if an object has mass (m) and velocity (v), both of which are vector quantities.
The newton-second is a unit of measurement for momentum in the International System of Units (SI), and the kilograms metre per second (kg m/s) is its SI counterpart.
A body's momentum changes at a rate equal to the net force exerted on it, according to Newton's second law of motion. However, in any inertial frame, momentum is independent of the frame of reference.
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Two asteroids each have mass of 1.41 x 1014 kg. The strength of the gravitation force between them is 1,030 N.
Calculate the distance between the asteroids.
The distance between the two asteroids, given that the gravitation force between them is 1030 N, is 3.59×10⁷ m
How do I determine the distance?From Newton's law of universal gravity, we understood that the force of attraction / repulsion between two objects is given as:
F = GM₁M₂ / r²
Where
F is the force of attraction / repulsionG is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartWith the above formula, we can determine the distance between the two asteroids. This is illustrated below:
Mass of 1st asteroid (M₁) = 1.41×10¹⁴ KgMass of 2nd asteroid (M₂) = 1.41×10¹⁴ KgGravitational force (F) = 1030 NGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Distance between the asteroids (r) = ?F = GM₁M₂ / r²
1030 = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / r²
Cross multiply
1030 × r² = 6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴
Divide both sides by 1030
r² = (6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030
Take the square root of both sides
r = √[(6.67×10¯¹¹ × 1.41×10¹⁴ × 1.41×10¹⁴) / 1030]
r = 3.59×10⁷ m
Thus, the distance between them is 3.59×10⁷ m
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observed voltages not being shared identify components in parallel in a series-parallel circuit. group of answer choices true false
In a parallel circuit, each component is subject to the same voltage.
Is the voltage the same in a series-parallel circuit?In a series circuit, the current flowing through each component is the same, and the voltage across the circuit equals the sum of the voltages across each component. The voltage across each component in a parallel circuit is the same, and the total current is the sum of the currents flowing through all of the components. In a series circuit, the components share the supply voltage. The voltage of the supply is equal to the sum of the voltages across components connected in series. There are two or more paths for current to travel through in a parallel circuit. Each element of the parallel circuit has the same voltage applied to it. The total amount of current coming from the source
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