The maximum distance the train can travel is 26.47 miles. If the train starts from rest and must come to a complete stop in 15 minutes, it can travel a maximum distance of 138600 ft.
What factors affect the maximum distance a train can travel?The maximum distance a train can travel is affected by several factors such as the initial velocity of the train, the time spent accelerating, the cruising speed, the time spent cruising, the time spent decelerating and the deceleration rate. Additionally, the train's engine power, fuel capacity, and the weight of the train also affect the maximum distance it can travel. In this case, the train starts from rest and has a constant acceleration of 10ft/s^2, a cruising speed of 105mi/h and a time of 15min before decelerating.
How do you calculate the maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes?The maximum distance the train can travel if it accelerates from rest until it reaches its cruising speed and then runs at that speed for 15 minutes can be found using the kinematic equation:
d = 1/2 x a x t^2 + v x t
Given,
a = 10 ft/s^2 (acceleration)
v = 105 mi/h = 150 ft/s (cruising speed)
t = 15 minutes = 900 seconds
d = 1/2 * 10 ft/s^2 * 900 seconds^2 + 150 ft/s * 900 seconds
d = 40,500 ft
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a wheel 31 cm in diameter accelerates uniformly from 235 rpm to 370 rpm how far will a point on the edge of the wheel have traveled in this
The point on the edge of the wheel will have traveled approximately 1.09 meters.
To find the distance traveled, we first need to find the total angle the wheel has rotated through. We can do this by finding the difference in the final and initial angular velocities (370 rpm - 235 rpm = 135 rpm) and multiplying that by the time it took for the acceleration to occur.
Next, we need to find the distance traveled by the point on the edge of the wheel. We can do this by multiplying the total angle rotated by the radius of the wheel (31 cm). So, (135 rpm * (1 min/60 sec)) * (31 cm) = 1.09 meters.
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List explicitly all the ways to arrange 2 quanta among 4 one-dimensional oscillators.a. 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001b. 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022c. 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002d. 2000, 0200, 0020, 0002e. 1100, 1010, 1001, 0110, 0101, 001f. 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020
a. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001
b. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022
c. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002
d. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 2000, 0200, 0020, 0002
e. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 001
f. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020
Option e, there is a typo, it should be 0011 instead of 001.
What is the difference between classical and quantum oscillator?A classical particle has a given position at a fixed time, even if we do not know this position. This is not anymore true for the quantum particle. For the quantum oscillator, the energy eigenfunctions and probability densities extend beyond the classical turning points.
What are four types of quantum?The set of numbers used to describe the position and energy of the electron in an atom is called quantum number. There are four quantum numbers-principal, azimuthal, magnetic and spin quantum numbers.
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what is the capacitance of a parallel plate capacitor having plates of area 1.50 m2 that are separated by 0.0108 mm?
The capacitance of a parallel space capacitor having plates of area 1.50 m2 that are separated by 0.0108 mm is 12.2972 F.
On an empty capacitor, there is no dielectric so 8.854 x 10-12
C=EA/(d)
where,
C is capacitance, A is area, d is distance between the parallel plate and E is dielectric constant.
Substituting the values in the formula,
C=(8.854 x 10-12)(1.50 m2)/ (0.0108)
C= 12.2972 X 10-10 F
Capacitance is the ability of a dielectric to hold or store an electric charge.
Dielectric constant is a factor that indicates the ability of an insulator to concentrate electric flux, also known as relative permittivity.
Dielectric strength is the ability of a dielectric to withstand a potential difference without internal arcing
Dielectric absorption is the ability of a capacitor to discharge completely to zero. This is sometimes called battery action or capacitor memory.
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potential energy and a roller coaster. a 1000-kg roller coaster car moves from point a to b then c. (a) what is the potential energy at b and c relative to a?
where y represents how far below point A in the vertical plane point B is. We determined that this distance's magnitude was 26.5m in portion (a). It is a negative number now that it is less than the zero reference level.
Describe potential energy.Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has far more potential energy when it is raised above the surface of the earth than when it is brought to Earth.
Simple definition of potential energyWhat does potential energy mean? Potential energy is the energy that is conserved or stored in a substance or an item. The object or substance's position, organization, or state determines the amount of stored energy. Consider it as energy with the "potential" to do work.
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write a similar description of the particles that make up gas .
Answer:
Explanation: There are particles 3 particles to make a gas
those are following :
1. Solids
2.liquids
3. gases
are made of tiny particles called atoms and molecules.
a heat engine operates in a carnot cucl4 between 80 c and 350 c it absorbs 21000 heat per cycle from a hot reservoir. the duration of each cycle is 1s what is the maximum power output of this engine how miuch heat does it expel in eeach cycle
a heat engine operates in a carnot cucl4 between 80 c and 350 c it absorbs 21000 heat per cycle from a hot reservoir.
Maximum power output of the engine = (21000 J/s) / (350-80) C) = 215.79 W.
What is engine?An engine is a machine designed to convert one form of energy into mechanical energy. It is most commonly used to convert energy produced from burning fuel into rotational energy used to power a vehicle, machine, or device.
The amount of heat expelled in each cycle = 21000 J - (215.79 W x (350-80) C) = 20,838.21 J
The maximum power output of the Carnot cycle engine is determined by the temperature difference between the hot and cold reservoirs. The power output of the engine is equal to the amount of heat absorbed by the engine (21000 J) divided by the temperature difference (350-80 C).
The amount of heat expelled in each cycle is calculated by subtracting the power output (215.79 W x (350-80) C) from the amount of heat absorbed (21000 J).
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What is the wavelength λ of the photon that has been released in Part B? ΔE = −2.04×10−18 J The energy of the photon emitted by the electron is related to its wavelength by E=hcλ where λ is the wavelength in meters, 6.626×10−34 J⋅s is Planck's constant, and 3.00×108 m/s is the speed of light in a vacuum.
The speed of light in a vacuum is λ = (2.04×10−18 J)/(6.626×10−34 J⋅s * 3.00×108 m/s) = 7.839×10−7 m.
What is the light ?
Light is a form of energy that is visible to the human eye. It is a phenomenon of physics that is essential to all life on Earth. Light is a form of electromagnetic radiation that is made up of different wavelengths. Different colors correspond to different wavelengths. Sunlight is the main source of light. Artificial light is also used in the form of electric lights, flashlights, and lanterns. Light has many practical applications, such as helping us see in the dark, providing energy for photosynthesis, and helping to regulate our circadian rhythms. It is also used for communication, navigation, and entertainment. Light has both physical and psychological effects on people, such as helping to lift moods and reduce stress.
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an astronaut in a space capsule under zero-gravity conditions holds two identical boxes, one filled with feathers, and another filled with bricks. how can they tell the boxes apart (without opening either box)?
This will be the box with sand inside if you attempt to push both boxes away from you and you face problems doing so because it has greater mass and inertia than the box with feathers.
What is a simple definition of inertia?A feature of matter wherein, absent an external force, it stays at rest or moves uniformly in the same direction.
Why does inertia happen?The law of inertia, also called as the Newton's first law, is a physics postulate that states that a body at rest or moving in a straight line and at constant speed will remain to do so unless it is acted with by a force.
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(c) Identify the forces acting on your hand. (Select all that apply.) book on hand hand on book floor on hand earth on hand'
Both the force of "Hand on the book" and the force of "Earth on the book" are directed upward. The ground and the book are being drawn in toward the hand. As a result, the forces pulling on the hands are "Book on hand" and "Earth on hand."
Gravity, usually referred to as gravitation, is the unchanging force of attraction that binds everything together in physics. Being the weakest known force in nature, it has minimal effect on defining the inherent properties of everyday objects.
The force "Hand on the book" is directed upward, and the force "Earth on the book" is directed downward. The hand is being pulled toward the book and the earth.
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A unifoem olid cylinder of length l, area of cro ection A i floating in liquid of denity 3p and 2p a hown. Denity of material of cylinder i
According to the question, the material density of the cylinder is 25ρ/12.
What does density mean?The density of a place refers to the quantity of things—which may include humans, creatures, vegetation, or objects—there are in it. Divide the number of items by the area's measurement to determine density. A country's population density is calculated by dividing its total population by its area, expressed in sq.km or miles.
the solution of question is -
ρ(cylinder)= [2ρ×2L/3+3ρ(L/4)] / L
= (4ρ / 3) + (3ρ / 4) = 25ρ / 12
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the correct question is -
A uniform solid cylinder of length l, area of cross-section A is floting in liquid of density 3ρ and 2ρ as shown. Density of material of cylinder, is
A person tries to heat up her bath water by adding 5.0 L of water at 95 C to 60 L of water at 20 C. What is the final temperature of the bath water
The final temperature of the bath water is 25.77 C.
What is temperature?Temperature is a measure of the average kinetic energy of the particles in a substance. It is measured in degrees on the Celsius, Fahrenheit and Kelvin scales. Temperature is an important physical quantity that is used to describe a wide range of phenomena in science, engineering and everyday life. Temperature influences everything from the rate of chemical reactions to the growth of living organisms. Hotter objects have higher temperatures than cooler objects and when two objects of different temperatures come into contact, heat will flow from the hotter to the colder object until both reach the same temperature. This process of heat transfer is known as thermal equilibrium.
The final temperature of the bath water can be calculated using the equation:
Tfinal = (mass1*T1 + mass2*T2) / (mass1 + mass2)
where T is the temperature, mass is the mass of water.
In this case, the mass1 is 5.0 L of water (5.0 kg) at 95 C, and the mass2 is 60 L of water (60 kg) at 20 C. So the equation becomes:
Tfinal = (5.0 kg*95 C + 60 kg*20 C) / (5.0 kg + 60 kg)
Tfinal = (475 kg*C + 1200 kg*C) / (65 kg)
Tfinal = (1675 kg*C) / (65 kg)
Tfinal = 25.77 C
Therefore, the final temperature of the bath water is 25.77 C.
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A longitudinal wave ha a compreion to compreion ditance of 10 m it take the wave of 5 to pa a point what i the wavelength of the longitudinal wave
The longitudinal wave has a 2 m per second wavelength if it covers a distance of 10 m.
How can you determine a longitudinal wave's wavelength?By calculating the distance between two identical locations on adjacent waves, the wavelength is always found. When determining the wavelength of the a longitudinal wave, the distance from one compression to another or from one rarefaction to a next is measured.
What does wavelength mean?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places subsequent crests in the consecutive cycles. This length is typically defined in wireless systems in meters m, centimeters cm, or millimeters mm.
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Which resources is both renewable and inexpensive?
a. sunlight
b. cold
c. gold
d. mineral
Among the given following options, the resource which is both renewable and inexpensive is sunlight.
Inexpensive means that which does not cost a lot of money and is cheaply available for all of us.
A renewable energy resource is obtained from a natural source that are constantly renew themselves. Most of the renewable energy resources are sustainable. It is frequently called clean energy. Some major types of renewable energies are solar energy, wind energy, geothermal energy, hydropower, bioenergy, etc.
Gold and minerals are not inexpensive in nature as they take years and years for their formation.
Cold is not a renewable source as it is not always available in all the seasons in the world.
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four small spheres each have a positive charge q and are at the corners of a square with sides of length l. how much work must be done to bring a fifth sphere with positive charge q from a very long distance away to the center of the square? responses
To move a fifth ball with a positive ions, q, from a good distance out to the exact same spot, 50.92 x 109 x Qq/a J. of work must be done.
What is a nuclei' charge?Protons are found in the nucleus and have a positive electrical charge that is equivalent to the electron's negatively charged. Neutrons, which do have essentially a same mass and yet no charge, may also be present in the nucleus.
energy = k Q / r, where k = 9 x 109 and Q is a charge positioned at a length of r from the site of measurement.
Distance of corner of square to centre = √ 2 a / 2 = a / √2 = .707 a
potential due to one charge
= k x Q / .707 a
= 9 x 10⁹ x Q / .707a
= 12.73 x 10⁹ Q/a
Potential due to 4 charges
= 4 x 12.73 x 10⁹ Q/a
= 50.92 x 10⁹ Q/a .
Potential at infinity = 0
Work done in carrying charge q from infinity to centre of square
= potential difference x charge
= ( 50.92 x 10⁹ Q/a - 0 ) x q
= 50.92 x 10⁹ x Qq / a J .
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1. suppose that you have two boxes one is 20 cm x 20 x 20 cm. the other is 20cm x 20 cm x 40 cm.
a.) how does the pressure of the air on the outside of the two boxes compare?
b.) how does the magnitude of the total force of the air on two boxes compare?
2. in a certain internal combustion engine 0.0021 m^3 of the air at atmospheric pressure and 303 k is rapidly compressed to a pressure of 20.1 x 10^5 pa and volume of 0.0003 m^3 what is the final temperature of the compressed gas?
3.) a tank truck takes a load of 45,725 l of gasoline in houstin where temp is 28.0 c the truck delivers its load in minneapolis where the temp is -12.0c
a.) how many liters of gas does the truck deliver
b.) what happened to the gas?
please help me answer one of these or all if you can its due tmro thank you so much
The pressure will be the same if each of these boxes have the same elevation. On the second box, the air's overall force will be greater.
Although I'm sure some academics would be furious about this, it helps me to conceive of air as water. However, as air is a considerably lighter fluid than water, this replacement is acceptable. Because there is the same quantity of water on each submarine, the pressures will be the same if there are two of them at the ocean's bottom. But a larger sub will be subjected to more force, which increases the likelihood of it bowing. I would take into consideration the units of pressure and force per unit area as the force idea is difficult to express.
Since we are aware that pressure is constant, we may set them equal by using the formulas P1=P2 and P1=F1/A1 and P2=F2/2(A1).
F1/A1=F2/2A1
It is evident that F2=2F1.
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does a sound wave's frequency impact the speed of travel
in the same air?
There is no relationship between the wave speed and the wave frequency.
What is a wave?Let us note that the term wave would have to do with the kind of disturbance that is taking place in a medium and would lead to the transfer of energy. We should know that when a wave is in motion, the movement of the wave would have to be described in terms of about three main parameters and these are;
The wave lengthThe wave velocityThe wave frequencyThe wave frequency would have to do with the way that the number of cycles that the wave is able to complete per second and this is connected to the period of the wave.
However, the frequency of the wave is not affected by the speed of the wave as the both are independent of each other as seen in the description above.
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Determine the impedance of the parallel RC branch. (Assume 10 volts across the branch.) The values calculated for this question may be used for additional questions. (Round the FINAL answer to two decimal places.)
E_app_ = 15 V
f = 50 Hz
series = R = 10 ohm
Br1 = X_C_ = 10 ohms
Br2 = R = 10 ohms
The impedance of the parallel RC branch is 7.07 ohms. It is denoted by the letter Z.
What is the impedance overall?The total resistance a circuit or a section of a circuit provides to electric current is measured as electrical impedance. Resistance and reactance are both parts of impedance. The current-carrying charged particles collide with the conductor's internal architecture, creating the resistance component.
What are SI units and impedance?Resistance and reactance combined makeupup impedance. Ohm is the SI unit for reactance (X), resistance (R), and impedance (Z). Electrical parts like capacitors and inductors offer reactance, a type of fictitious resistance. Inductive reactance, denoted by the formula XL = 2fL, is the reactance offered by the inductor.
[tex]I_C = E_C_ / X_C_[/tex]
[tex]I_C = 10 / 10[/tex]
[tex]I_C= 1 A[/tex]
[tex]I_R= E_R_ / R[/tex]
[tex]I_R_ = 10 / 10[/tex]
[tex]I_R = 1 A\\I_T = sqrt (I_R^2 + I_C^2)\\I_T_ = sqrt (1 + 1)\\I_T= 1.414 A\\Z_RC = E_RC_/ I_T\\Z_RC_ = 10 / 1.414\\Z_RC_ = 7.07 ohms[/tex]
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How many moles are in 6.02 x10^24 atoms of carbon
Answer: 10
Explanation:
A block with a mass of 5.0 kg is pushed on a frictionless surface through a distance of 5.0 m by
applying a horizontal force of 80.0 n.
applied
force = 80.0 n
m = 5.0 kg
5.0 m
if the block starts from rest, what is its final velocity?
The final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 16 m/s.
What is velocity?Velocity is a measure of how fast an object is moving, or how fast it changes its position. It is expressed as distance per unit of time and is typically represented in m/s, km/h, or mph. Velocity is a vector quantity, meaning it has both magnitude (a numerical value) and direction. Velocity can be determined by measuring the speed of an object and the direction in which it is moving. It is important to consider velocity when calculating the motion of an object, as it can affect the final position of the object.
The final velocity of the block can be calculated using the equation of motion, which states that the change in momentum of an object is equal to the applied force multiplied by the time over which it is applied. Since the block starts from rest, its initial momentum is zero. Therefore, the final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 16 m/s.
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The final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 11.38 m/s.
What is velocity?Velocity is a measure of how fast an object is moving, or how fast it changes its position. It is expressed as distance per unit of time and is typically represented in m/s, km/h, or mph. Velocity is a vector quantity, meaning it has both magnitude (a numerical value) and direction. Velocity can be determined by measuring the speed of an object and the direction in which it is moving. It is important to consider velocity when calculating the motion of an object, as it can affect the final position of the object.
Given:
The mass of the block, m = 5 kg,
The horizontal force, F = 80 N,
friction-less surface through a distance (s) = 5 m
Firstly, acceleration (a) = F/m
or, a = 80/5
or, a = 14 m/sec²
Next, we know, v² = u² + 2as
or, v² = 0 + (2 × 14 × 5) [the block starts from rest, so u = 0]
or, v² = 140
or, v = √140
or, v = 11.38 m/sec
The final velocity of the block can be calculated using the equation of motion, which states that the change in momentum of an object is equal to the applied force multiplied by the time over which it is applied. Since the block starts from rest, its initial momentum is zero. Therefore, the final velocity of the block can be calculated by dividing the force by the mass and multiplying by the distance, which yields a final velocity of 11.38 m/s.
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make a claim as to whether momentum is conserved or not conserved. identify the evidence that provides support for your claim; refer to specific sets of values in each data table that serve as credible evidence. write a paragraph or more of sound reasoning to argue why the evidence logically leads to the claim you are making. write well. write logically. write thoroughly. use a separate page of paper if necessary.
A system must meet two requirements for its momentum to be conserved: The mass of the system must remain constant during the interaction.
What is momentum?
The momentum of any set of particles is equal to the vector sum of the individual momentums. According to Newton's third law, particles exert equal and opposite forces on each other, so any change in momentum of one particle is exactly balanced by an equal and opposite change in momentum of another particle. Thus, in the absence of an external force acting on a collection of particles, their total momentum never changes; this is the meaning of the law of conservation of momentum.To know more about momentum, click the link given below:
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suppose your electric lights use 400 watts per hour and average four hours per day, every day for one year. how many kwh per year does this represent ? 400 watts
The bulb will use 584 kW per year.
An electronic bulb is a small and simple light source that uses a wire filament to glow when electricity is applied.
A light bulb consists of three key partsFiberGlass bulbBulb baseThe filament, which is a coiled thin wire, is made of tungsten.
The filament is enclosed in a ball-shaped glass socket and is connected by copper and lead wires attached to the base of the lamp.
The wires and filament are enclosed in a glass bulb that is filled with an inert gas such as argon.
Thin glass is used to make the bulb, which prevents air from reaching the filament and protects it from burning.
Conversion of watts to kilo-watts
1 Watts = 0.001 kW
400 Watts = 0.4 kW
Average working of the bulb = 4 hours
Total time taken by the bulb in a year
= 4 * 365
= 1460 hours
Total power consumed in the year = 584 kWh
The bulb represents 584 kwh per year.
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Sound waves travel faster in liquids than in gases. Underwater, a 60 Hz sonar signal travels 9.6 in 400 .
Calculate the wavelength of the signal.
Answer:
Explanation:
Wavelength (λ) = Speed of Sound (v) / Frequency (f)
λ = 9.6 in/400 Hz = 0.024 in
Therefore, the wavelength of the 60 Hz sonar signal travelling underwater is 0.024 in.
Various amounts of positive and negative charge are moved from one point to another. Assuming that the potential at each of the points is kept constant at its labeled value, determine the net change in the electric potential energy of each listed quantity of charge as it is moved along the path indicated
Alter in vitality = Last Electrical Potential Vitality - Starting Electrical Potential Energy
= Charge x (Potential of Last Area - Potential of beginning location)
What is potential energy?
Potential vitality, put away vitality that depends upon the relative position of different parts of a framework. A spring has more potential vitality when it is compressed or extended.
So, Accordingly
+1C moved from A to B: 1(5-0) = 5J
+2C moved from D to C: 2(8-10) = -4J
+1C moved from E to G: 1(-3-7) = -10J
+3C moved from B to F: 3(5-5) = 0J
+2C moved from C to A to E: 2(7-8) = -1 J
-1C moved from B to C: -1(8-5) = -3J
-2C moved from G to A: -2(0-(-3)) = -6J
-4C moved from E to F: -4(5-7) = 8J
-3C moved from A to G: -3(-3-0) = 9 J
-1C moved from B to G to F: -1(5-5) = 0J
Alter in vitality = Last Electrical Potential Vitality - Starting Electrical Potential Energy
= Charge x (Potential of Last Area - Potential of beginning location)
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Question is attached. Show Workings.
a) The time of revolution is 97.57 minute.
b) The acceleration of gravity at the orbit is 8.10 m/s².
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Orbital speed of the satellite is = 425 km/min.
a) The time of revolution = perimeter of the orbit ÷ orbital speed of the satellite
= 2π × 6600 km/425 km/min
= 97.57 minute.
b) The acceleration of gravity at the orbit is = g (R/r)²
= 9.8 × (6000/6600)² m/s²
= 8.10 m/s²
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ben starts waling at 2 mi/h. after an hour and a half amanda begins jogging at 6 mi/h. how long until amanda catches ben
Amanda would need to catch up to Ben in 6/10 hours, or 0.6 hours.
What is distance?Use the distance equation d = st, which reads distance equals speed times time, to find the distance. Given that both rate and speed denote a specific amount of travel per unit of time, such as miles per hour or kilometers per hour, they are comparable. R = s = d/t indicates that rate r is equal to speed s.
At 7 miles per hour, Amanda starts jogging down the same path.
Thus, following t hours, Amanda's position is determined by:
A(t) = 7t
Ben begins moving at a 2mph pace along a path.
Ben will be at position 2×1.5 = 3 when Amanda departs in an hour and a half. Ben's position therefore after t hours is as follows:
B(t) = 3+2t
A(t) = B(t)
7t = 3+2t
5t = 3
t = 3/5
t = 0.6hrs
So, Amanda will catch up Ben after 0.6 hours.
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Complete question " Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?".
Using the scenario from question 1, if the spring constant was increased to 300 N/m and the same weight was added to the spring, which of the following is true about the spring’s displacement? a) The new spring will have a displacement greater than 3m. b) The new spring will hace a displacement of 3m. c) The new spring will have a displacement 2 times the original. d) The new spring will have a displacement less than 3m.
The only true statement about the displacement of the spring is, the new spring will have a displacement less than 3m.
option D is the correct answer.
What is the extension of the spring?
The extension of the spring is calculated by applying the formula for Hooke's law as shown below.
Mathematically, the formula for Hooke's law is given as;
F = kx
where;
F is the applied forcex is the extension of the springAt a given applied force and spring constant, the extension of the spring is calculated as;
x = F / k
when the applied force, F, or weight is kept constant, and the spring constant, k, is increased by 300 N/m, the new extension of the spring will decrease since the extension and spring constant are inversely proportional to each other.
If the initial displacement of the spring is 3 m, then the new spring will have a new displacement less than 3 m.
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at what speed do a bicycle and its rider, with a combined mass of 100 kg , have the same momentum as a 1500 kg car traveling at 2.0 m/s ?
A bicycle and its rider must go at a speed of 30 m/s in order to have the same momentum as a 1500 kg car moving at 2.0 m/s with a combined mass of 100 kg since there is no directional component.
A scalar value must represent speed. Physics uses the total distance travelled and the total time required to travel that distance to calculate average speed. Speed is the pace at which an object's location changes, measured in metres per second. The amount of matter in a physical body was formerly believed to be connected to one of a body's fundamental characteristics, mass.
1500*2.0 = 100*V, or 3000/10
V = 30 m/s.
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much like the variations in obliquity that the earth experiences, the moon, too experiences a periodic wobble as it orbits the earth. this wobble is called
The Earth tilts on its axis, resembling a slow-moving spinning top. The gravitational force of the Moon and Sun on Earth is what is known as "precession," and it is what causes this phenomenon.
What creates the attraction of gravity?Spacetime actually bends and curves around all mass-bearing things, including our planet, and this is what causes gravity to pull you toward the ground. That curvature is what you perceive as gravity.
The gravitational pull is where?All items on Earth are drawn "downward" by gravity toward the planet's core. The gravitational attraction between two bodies is stronger when they are closer and heavier, according to Sir Isaac Newton's Universal Law of Gravitation.
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A monkey makes a pendulum by tying a 10-meter long cord to a banana. The pendulum swings back and forth, beginning from rest at the leftmost position. At the highest point “I” the cord makes a 60 degree angle with respect to an equilibrium position. Determine the speed of the banana at the equilibrium.
The speed of the banana at the equilibrium is determined as 9.9 m/s.
What is the speed of the banana at the equilibrium?
The speed of the banana at the equilibrium is calculated by applying the principle of conservation of mechanical energy as follows;
Kinetic energy of the banana at the lowest = Potential energy of the banana at the top height
K.E = P.E
¹/₂mv² = mgh
v² = 2gh
v = √ ( 2gh )
where;
h is the height through which the banana fallsg is acceleration due to gravityThe vertical height, h is calculated from the inclination of the string from the vertical.
h = L cos ( 60 )
h = 10 m x cos ( 60 )
h = 5 m
The speed of the banana at the equilibrium is calculated as follows;
v = √ ( 2 x 9.8 x 5 )
v = 9.9 m/s
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an object of mass 5kg is raised 3m above the ground. calculate the work done on the object.
Answer: 150 j
Explanation:
3x5x10=150 j
gravity equals 10
