Answer:
a = − 1.579 [tex]\frac{m}{s^{2} }[/tex]
b. t = 3.52s
We have velocity in km/hr and displacement in m. Since we have to make a unit conversion, might as well do it so it will yield the answer in the normal (SI) units for acceleration.
u = 100 x [tex]\frac{5}{18}[/tex] = 27.78 [tex]\frac{m}{s}[/tex]
v = 80 x [tex]\frac{5}{18}[/tex] = 22.22 [tex]\frac{m}{s}[/tex]
Using the formula of motion [tex]v^{2} - u^{2}[/tex] = 2*a*d
[tex](22.22)^{2}[/tex] - [tex](27.78)^{2} \\[/tex] = 2 * a * 88
a = -1.579 [tex]\frac{m}{s^{2} }[/tex] = acceleration
Since the acceleration was constant, we can use the average velocity, and the distance to determine the time.
time = [tex]\frac{displacement}{speed}[/tex]
t = [tex]\frac{88}{speed}[/tex]
speed = [tex]\frac{1}{2}[/tex] * (u+v) = [tex]\frac{1}{2}[/tex] * (22.22 + 27.78) = 25[tex]\frac{m}{s}[/tex]
t = [tex]\frac{88}{25}[/tex] = 3.52 s
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The acceleration of the car is equal to -1.58 m/s. The time required for the given decrease in speed is equal to 3.52 s.
What are equations of motion?The equations of motion can be utilized to describe the relationship between the acceleration, velocity, time, and displacement of a moving object.
The equations of motions can be mathematically expressed as shown below:
[tex]v = u + at\\S= ut +\frac{1}{2}at^2\\ v^2-u^2 = 2aS[/tex]
Given, the initial velocity of the police car, u = 100 Km/h = 27.78 m/s
The final velocity of the car, v = 80 Km/h = 22.22 m/s
The displacement of the car, S = 88m
From the third equation of motion: v²- u² = 2aS
(22.22)² - (27.78)² - = 2 × a × 88
a = - 1.58 m/s²
Calculate the time from the first equation of motion: v = u + at
22.22 = 27.78 + (-1.58) × t
t = 3.52 sec
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What is the kinetic energy of a car that has a mass 2,000 kg and has a velocity of 10 m/s?
The Kinetic Energy of the given body is 100,000
Kinetic energy is the energy possessed by a body as a virtue of its motion or movement. It is defined under Mechanical energy.
The mechanical energy of a body is always conserved. Potential energy along with Kinetic energy maintains the mechanical energy of a body.
If talking solely about mechanical energy the dip in one leads to a rise in the other.
The potential energy of a body is the energy possessed by the virtue of its position in distance from the surface of the Earth.
The formula of Potential energy is=mgh
where h is the distance from the surface of the earth where the body is placed
while g is the gravitational force exerted by the earth on the body
The formula of Kinetic Energy is: 1/2xmx[tex]v^{2}[/tex]
m=2000kg (Provided in the question)
v=10m/s (Provided in the question)
Then Kinetic Energy of the body=1/2x m x [tex]v^{2}[/tex]
putting values in the equation
K.E=1/2 x 2000 x [tex]10^{2}[/tex]
K.E=1/2 x 2000 x 100
canceling 2000 by 2
K.E = 1000 x 100
K.E= 100,000
Where Kinetic energy is represented as K.E
Thus, the Kinetic Energy of the given body is 100,000
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nazi made the biggest gun, schwerer gustav. it weighed 1500 metric ton. when it shot out a projectile of 5 metric ton, it recoiled with 2.6 m/s. find the projectile speed.
the speed of the projectile is 780m/s.
given in this question,
mass of the gun m₁ =1500metric tun
as we know 1ton= 1000kg
so m₁=1,500,000kg
mass of projectile m₂= 5ton =5000kg
for solving this problem we will use the concept of conservation of momentum.
which is [tex]P_{initial}[/tex]=[tex]P_{final}[/tex]
[tex]P_{initial}[/tex]=0
and [tex]P_{final}[/tex]=m₁v₁+m₂v₂
∵v₁=2.6m/s
now by the conservation of momentum
[tex]P_{i}[/tex]=[tex]P_{f}[/tex]
0=1,500,000×2.6+5000×v₂
v₂=-1500000×2.6/5000
v₂= -780m/s
hence the value of the velocity negative is not possible
negative sign is showing direction of projectile.
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explain how the sum of heat and work can be a state function, even though heat and work are themselves not state functions.
The system's internal energy change (E) must equal the sum of the heat transferred (q) and the work performed (w), as stated in the first law of thermodynamics: E = q + w..
Work and heat do not have a state function.
The first law of thermodynamics states that the change in a system's internal energy is equal to the total of heat and work.
ΔU = w+q
ΔU = modification of internal energy
q= heat
W= work
ΔU=qv
Accordingly, qv is a state function in this scenario since qv stands for q measured at constant volume.
additional circumstance steady pressure
W = pΔV
Work on the environment (expanding) or the surrounds is working on the system (compressing), which results in a new state function called ΔH and a change in enthalpy.
Heat is a change in energy rather than a quantity of energy that is contained because heat q is the amount of thermal energy that enters or exits the system throughout a process.
Work is another phrase for an energy transformation. the environment's good influence on the system or the environment's detrimental influence on the system ( negative)
The path functions q and w
However, q+w combined is a state function.
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How does the amount of work trevor performs going to the corner compare with the amount of work he performs coming back? they are the same because he uses the same amount of force. they are the same because he travels the same distance. he does less work coming back because the force moving the wagon is only 50cos30°. he does more work coming back because the force moving the wagon is only 50cos60°.
Answer:C) he does less work coming back because the force moving the wagon is only 50cos30
Explanation: got it right on edge
The amount of work Trevor performs going to the corner compared with the amount of work he performs coming back is that he does less work coming back because the force moving the wagon is only 50cos30°
Since the formula, we refer to for calculating the work, when the angle is applied is:
Wₓ = W cos θ, where for the case the θ is 30 and W is 50
Since the force done is parallel to the motion's direction, and the work has a larger magnitude, the work done in order of pulling the wagon back to the starting point is less than the work done in pulling the wagon to the corner, as the reason is for the angle of 30 degrees in pulling it back
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a car traveling but at 100 km/h and applies it's brake to stop the acceleration is -10 m/s2 how long does it take for the car to stop?
Answer:
10s [seconds]
Explanation:
[tex]t = \frac{v}{a} [/tex]
t = v/at = 100/-10t = -1010s [seconds]A heat engine operates between a source at 477°c and a sink at 25°c. If heat is supplied to the heat engine at a steady rate of 65,000 kj/min, determine the maximum power output of this heat engine.
T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K
T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K
And by replacing Carnot efficiency:
e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%
W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75 [tex]\frac{KJ}{min}[/tex]
How to calculate temperature?The United States (and its connected territories) and some Caribbean countries frequently use the Fahrenheit temperature scale, which bears the name of German physicist Daniel Gabriel Fahrenheit. Water freezes at 32°F and boils at 212°F according to the Fahrenheit scale (at sea level).
Nearly every other country uses the Celsius temperature scale, which was previously called centigrade before being changed for Swedish astronomer Anders Celsius. Water freezes at 0°C and boils at 100°C on the Celsius scale (at sea level).
For this case we can use the fact that the maximum thermal efficiency for a heat engine between two temperatures are given by the Carnot efficiency:
e = 1 - frac T[tex]_{C}[/tex]T[tex]_{H}[/tex]
We have on this case after convert the temperatures in kelvin this:
T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K
T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K
And replacing in the Carnot efficiency we got :
e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%
And the maximum power output on this case would be defined as:
W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75 [tex]\frac{KJ}{min}[/tex]
Where [tex]Q_{H}[/tex] represent the heat associated to the deposit with higher temperature
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cell phones use radio waves to transmit information. if your cell phone uses a frequency of 1900 mhz, what is the wavelength in meters of the electromagnetic radiation emitted by your phone? (1 hz
The wavelength of the electromagnetic radiation emitted by your phone is 1.578meters.
What is the wavelength of electromagnetic radiation?The name given to the recognized range of electromagnetic radiation is the electromagnetic spectrum (EMS). The frequency decreases from 3×10²⁶ Hz to 3×10³ Hz as wavelengths rise from around 10⁻¹⁸ m to 100 km.
The wavelength is the separation between two wave crests, while troughs have the same wavelength. Frequency, measured in cycles per second (Hz), is the number of vibrations that pass over a certain location in a second (Hertz).
Given,
Frequency = 1900 mhz = 1900×10⁶,
velocity = 3×10⁸,
Wavelength = v/F
Wavelength = 3×10⁸/ 1900×10⁶
Wavelength = 1.578meters.
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You throw a ball straight forward with a velocity of 20
m/s, from a height of 1 meter. How far will it be when it hits the ground after 0.45 seconds?
The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.
Why do we do it?The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.
D=1/2gt2 and T=√2d/g
By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:
t= √2(1.5m)/9.8m⋅s−2 = 0.553s
So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:
d= 20m/s(0.553s)= 1.11m
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You are bowling for a spare. There is just one pin left, and you make a nice play. As the 5.1 kg ball approches at a velocity of 3.40 m/s north it hits the pin! The 1.5 kg pin is sent into motion and the bowling ball continues to roll at a velocity of 0.87 m/s north. What is the final velocity of the pin?
Answer:
11.56 m/s
Explanation:
The momentum of the ball is transferred into the pin so the transfer of momentum has the formula, m1*v1 = m2 * v2
substituting the values,
5.1 * 3.40 = 1.5 * V2
17.34 = 1.5 * V2
V2 = 17.24 / 1.5
V2 = 11.56 m/s
he complex impedance of an electric circuit measures resistance as the real component and reactance as the imaginary component, both measured in ohms. what is the magnitude of impedance of an electric circuit with a resistance of 90 ohms and a reactance of 120 ohms?
The magnitude of impedance is 1.33 ohms .
What is meant by electric circuit?Electric circuit: a way for current to travel. A battery or generator, a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines make up an electric circuit.
Current flowing from the positive terminal to the negative terminal of the battery is known as an electric circuit. Putting together a circuit A cell or battery, connecting wires, a lightbulb, and a switch make up an electric circuit.
Given .
resistance = 90 ohms
reactance =120 ohms
So magnitude of impedance is 120/90
= 1.33 ohms
therefore the magnitude of impedance is 1.33 ohms
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if, in actuality, a 710-kg car with an initial speed of 114 km/h is observed to coast up a hill and stops at a height 25 m above its starting point, how much thermal energy was generated by friction in j?
The thermal energy was generated by friction is 180490.52J.
What is thermal energy?Molecules moving within an item or substance are referred to as thermally moving. The sun is the main source of thermal energy in our solar system, but every material possesses some form of thermal energy. Heat is a flow of thermal energy that occurs when energy is transferred from one substance or object to another.
Given,
Initial speed = 114km/h = 114000/3600 = 31.66 m/s
Height = 25m
[tex]E_{intial} = E_{final}[/tex]
mg[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex] = mg[tex]y_{f}[/tex] +1/2m[tex]v^{2} _{f{} }[/tex]
Solving [tex]y_{f}[/tex] we have,
[tex]y_{f}[/tex] = m(g[tex]y_{i}[/tex] + 1/2m[tex]v^{2} _{i{} }[/tex]-1/2m[tex]v^{2} _{f{} }[/tex])
[tex]y_{f}[/tex] = (0+ 1/2 (114×1000/60×60)²-0)/9.8
[tex]y_{f}[/tex] = h = 50.94m
loss of energy = mg (50.94 - 25)
loss of energy = 710× 9.8× 25.94
loss of energy = 180490.52J.
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why does the atmosphere of saturn appear to have only half the helium content of jupiter? why does the atmosphere of saturn appear to have only half the helium content of jupiter? much of saturn's helium has reacted with water and formed helium oxide. much of saturn's helium has differentiated towards its center. because saturn is so much colder, helium does not show up as strongly in its spectrum. a red dwarf, jupiter has fused some of its hydrogen into helium, whereas saturn, a colder planet, has not. saturn was formed farther from the helium rich sun.
The correct answer is option C.
The atmosphere of Saturn appear to have only half the helium content of Jupiter because Saturn is so much colder, helium does not show up as strongly in its spectrum.
The planet Saturn is a giant ball of gases including hydrogen, helium and methane. All these gases make up a thick atmosphere of the planet.
In general, the concentration of hydrogen is about 96.3%, helium 3.25% and methane 0.45%.
Clouds on Saturn are composed of ice crystals of ammonia and the temperature is around -400F which is much colder then Jupiter.
Thus, atmosphere of Saturn appear to have only half the helium content of Jupiter because Saturn is so much colder.
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Gravitational potential energy is the potential energy of an object based on its.
Based on an object's separation from the Earth, gravitational energy is potential energy that can be stored there.
What is an example of gravitational energy in action?A straightforward device that converts gravitational potential energy into kinetic energy and back again is the pendulum. The bob has no kinetic energy when it is at the top of its swing, but it has a maximum gravitational potential energy. Gravitational potential energy is converted to kinetic energy as the bob swings downward, causing it to accelerate.The bob has its highest kinetic energy and lowest gravitational potential energy near the bottom of its swing.The bob's kinetic energy is converted back into gravitational potential energy as it swings higher. It again has no kinetic energy at the height of its swing, but its gravitational potential energy is at its highest.Additional examples include: water in a dam, a huge boulder perched precariously on a precipice, roller coasters, and a skateboard perched atop a ramp.To Learn more About gravitational energy refer to :
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What is the process that causes harmful materials to seep into the ground and move through rock and soil and contaminate ground water?.
Determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop.
To determine the direction of the magnetic field of the current-carrying wire in the vicinity of the loop, you can use the right-hand rule.
How do you use this right-hand rule?If you're confused of what the direction of the magnetic field around a current-carrying wire is supposed to be, you can use the right-hand rule to conveniently figure out the direction. To use this right-hand rule, first curl your right-hand fingers and then point your right thumb in the direction of the current in the wire. Your right-hand fingers will be curled in the same direction as the direction of the magnetic field around the current-carrying wire.
There is another type of the right-hand rule. This type of right-hand rule is used to identify the direction of axes or parameters that point in three dimensions.
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at what frequency should a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v?
At 7.1 Hz a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v
What is magnetic field?An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.
Given,
number of turns is N = 200 turns
cross-sectional area is A = 300 cm² = 300 x 10⁻⁴ m²
the magnitude of magnetic field strength is B = 30 x 10⁻³ T
the maximum value of the induced emf is E = 8 V
Now,
Maximum induced emf is, E = NBAω
where,
ω is the angular velocity (ω = 2πf)
Now,
E = NBA2πf
where,
f is minimum frequency
So, f = E / (NBA2π)
f = 8 / (200 x 30 x 10⁻³ x 300 x 10⁻⁴ x 2 x 3.142)
f = 7.073 Hz
f = 7.1 Hz
∴ the minimum frequency of the coil is 7.1 Hz.
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what minimum height must the sides have for this boat to float in perfectly calm water? mastering physics
The height is 0.32788meters or 31.78 cm.
According to the principle of buoyancy, the weight of a floating body equals the weight of the liquid displaced by its submerged part. Therefore, the ship can float on water. Because its weight is equal to the weight of the water you are trying to displace. Each float displaces the swimming liquid by its own weight. Just like a ship floats freely in the water.
The weight of the container must equal the weight of the volume of water displaced by the container. Displacement is the amount of water a ship displaces. If the buoyancy equals the object's weight, the object will remain buoyant at the current depth. Buoyancy always exists whether an object is floating, submerged, or floating in a liquid. When the boat floats, its weight equals the weight of the volume of water displaced.
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he earth's atmosphere is transparent tomost waves in thequestion options:visible part of the spectrum.infrared part of the spectrum.ultraviolet part of the spectrum.entire electromagnetic spectrum.
The earth's atmosphere is transparent to most waves is visible part of the spectrum.
What is the visible part of the spectrum?The region of the electromagnetic spectrum that the human eye can see is known as the visible light spectrum. This group of wavelengths is more commonly referred to as visible light.The range of wavelengths that the human eye can typically see is from 380 to 700 nanometers.The region of the electromagnetic spectrum that is visible to the human eye is known as the visible spectrum. This wavelength range of electromagnetic energy is referred to as visible light or just light. The ordinary human eye can see wavelengths between 380 and 750 nanometers.
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Find the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons.
The acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N/kg.
The rate at which velocity changes with time, in terms of both speed and direction, is called acceleration.
Acceleration (a)
Mass (m) = 10 kg
Force (F) = 200 N or Newton
∴ a = F / m
=> a = 200 N / 10 kg
=> a = 20 N / kg
So, the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons is 20 N / kg.
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Jamari is doing a project on the levels of the rain forest. Which would be the most useful visual display to help make his information clear?(1 point)
Responses
a map of where rain forests are located
a map of where rain forests are located
a diagram with the parts of the rainforest labeled
a diagram with the parts of the rainforest labeled
a video of a nature photographer walking in a rain forest
a video of a nature photographer walking in a rain forest
a picture of ants on the rainforest floor
It is a diagram with the parts of the rainforest labeled
Substances in a(n)________
separate properties.
keep their separate properties, but in a(n)___________
the parts are bonded and do not keep their
Substances in a mixture keep their separate properties, but in a compound the parts are bonded and do not keep their separate properties.
Mixtures contains elements and compounds without any fixed ratio and not by any means of chemical bonds. The elements and compounds are physically mixed and so they will be visibly distinct.
Compounds contains elements in a fixed ratio and is connected by chemical bonds. They only contain one type of molecule. Since they are chemically combined the particles appear as one and is not visibly distinct.
Therefore, substances in a mixture keep their separate properties, but in a compound the parts are bonded and do not keep their separate properties.
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what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h .)
She will pull her ripcord 22.9 s after the dive and her speed at 490 m will be 112.66 m/s.
What is free-fall?Free fall, any motion of a object where gravity is the only force acting upon it. In the context of general relativity, where gravity is reduced to the curvature of spacetime, there are no forces acting on bodies in free fall.
For the given case,
s = ut + 1/2 at²
s = Displacement (3000 - 420 = 2580 m) it is the distance she will free fall
a = Acceleration due to gravity (9.8 m/s²)
u = Initial velocity (0 m/s)
t = Time taken
2580 = 0×t + 1/2 9.8 t²
2580 = 4.9 t²
t = 22.9 s
Now her speed at 490 m will be
v = d/t
v = speed
d = 2580 m
t = 22.9 s
v = 2580/22.9
v = 112.66 m/s
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The given question is incomplete so the complete question is as follows:
"if there were no air resistance, how long would it take a free-falling skydiver to fall from a plane at 3100 m to an altitude of 490 m , where she will pull her ripcord? what would her speed be at 490 m ? (in reality, the air resistance will restrict her speed to perhaps 150 km/h)"
Use the diagram of the molecular structure of lactic acid to answer the question.
Which functional groups are represented in this molecular structure?
A) a methyl group, a hydroxyl group, and a carboxyl group
B) a sulfhydryl aroup. an amino group, and a carboxvl group
C) a methyl group, an amino group, and a carboxyl group
D) a sulfhydryl aroup, a hydroxvl group, and a carboxvl group
The functional groups that are represented in this molecular structure are; a methyl group, a hydroxyl group, and a carboxyl group
What are the functional groups?We know that the functional group would be defined as that atom, or a group of atoms or even a bond that is the major point where a chemical reaction occurs among the members of a particular hom----ologous series. Note that the hom----ologous series is a family of compounds that differ from each other by chain length only.
Now we have to look at the compound and of course the attachments to the compound would tell us how many of the functional groups that we do have in the molecule and we can take a cursory look at the image attached for this detail.
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A person rides in an elevator.
What is the equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton's third law?
The equal and opposite force for the force of the elevator floor pushing up on the person as described by Newton's third law is the weight and the reaction force from its effect.
What is an Elevator?This is referred to as a device which is used in the vertical transportation of goods and people among the floors in a buildings.
When an individual steps into the elevator, the weight acts on it and it is known as a downward force while the reaction acts upward in an opposite reaction as described by Newton's third law in this scenario.
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what is the average magnitude of the poynting vector 5.00 mi from a radio transmitter broadcasting isotropically (equally in all directions) with an average power of 250 kw?
307.4 μW/m² average magnitude of the poynting vector 5.00 mi with an average power of 250 kw?
S-average=power/area
power=250 kw
area=4π(8045)²
S-average=250/4π(8045)²
S-average=307.4 μW/m²
Power is produced when a force causes a displacement. Power has no bearing on how long it takes for a force to cause a displacement. The process's pace might range from swiftly concluding to taking some time. For example, it takes an abnormally long time for a rock climber to elevate her body a few meters over the cliff's edge. On the other hand, a trail hiker may swiftly raise her body a few meters if she selects the faster path up the mountain. Despite making the same amount of work, the hiker completes the task far quicker than the rock climber..
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if a falling ball made a perfectly elastic collision with the floor, would it rebound to its original height? explain.
When dumped, it would rebound all the way up to the original height.
What occurs when an impact is perfectly elastic?If there is no kinetic energy lost during contact, the collision is entirely elastic. In an inelastic collision, some of the kinetic energy is converted into another kind of energy during the contact.
The system's overall kinetic energy, which includes the interacting items, remains constant both before and after the impact. A very buoyant ball might serve as an illustration of an elastic collision. If you dropped it, it would return to its original height after bouncing all the way down.
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PLS help confused. Will mark brainiest for the right answer.
Answer:
B
Explanation: You (with the ball in your hand)would move in the direction of the ball's initial motion. Momentum!
Answer: You would move backward.
Explanation: You would push back because you would move in the direction of the ball's initial motion. The ball's initial motion is to come toward you, so you would most likely move backward.
Let me know if this is right! :)
What is the potential difference measured if the following voltmeter (refer to picture) is used and connected to the circuit via the 3V terminal?
The potential difference measured if the given voltmeter is used and connected to the circuit via the 3V terminal is 1.4 V.
The reading of voltmeter is taken for the row with 0, 1, 2 and 3 values. Each line indicates 0.1 volts. The distance between each smaller lines indicates 0.2 volts and the distance between each longer lines indicates 0.2 volts.
A voltmeter is a device used to measure the potential difference between two points in a circuit. Potential difference is also called as voltage. Its unit is volts.
V = IR
V = Voltage
I = Current
R = Resistance
Therefore, the potential difference measured is 1.4 V
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spring a is stiffer than spring b (ka > kb). the spring force of which spring does more work if the springs are compressed (a) the same distance and (b) by the same applied force?
Given that A was stiffer than B (KA > KB), the force given to both springs is the same for A, whose spring constant is higher than B's but whose expansion is smaller, and whose work will thus be less than B's.
What does physics' ideal spring look like?The equilibrium length of a perfect spring exists. When a spring is squeezed, a force pushing each end apart has a magnitude proportional to the length drop from the equilibrium length.
What is the Spring-Hooke law?Hooke aimed to show how a spring's elasticity and the forces acting on it are related. According to Hooke's Law, a spring's extension is proportional to the load placed on it. As long even as load does not exceed a material's elastic limit, a variety of materials abide by this rule.
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how would the gravitational force of star james change if star james contracted to 1/7 of its previous diameter, without osing any of it's matter
The final gravitational force at the surface of the star is 49 times of the initial gravitational force.
Gravitational force definitions.The attraction that exists between all masses in the universe, particularly between the mass of the earth and objects that are close to its surface.
Use Newton's gravitational law to find the gravitational force at the surface of a star if the star contracted to one fifth of its previous diameter as follows.
Newton's gravitational law states that the gravitational force between two objects is inversely proportional to the square of their distance and directly proportional to the product of their masses.
[tex]F_g}[/tex] =GMm/r²
In this case, the two objects' masses are M and m, G is the gravitational constant, and r is their separation from one another.
Since mass is constant, the gravitational force at the surface of a star before contraction is,
F₁ =GMm/r₁²
Here, r₁ is initial diameter of the star.
The gravitational force at the surface of a star after the contraction is,
F₂ =GMm/r₂²
Here, r₂ is final diameter of the star.
Compare the equations, we get
F₂/F₁= GMm/r₂²/GMm/r₁²
F₂/F₁=(r₁/r₂)²
F₂ = F₁(r₁/r₂)²
Substitute r₁/7 for r₂ in equation and solve for final gravitational force on the star.
F₂ = F₁(r₁/r₁/7)²
F₂= 49F₁
Therefore, the final gravitational force at the surface of the star is 49 times of the initial gravitational force.
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