The correct answer is (e): Dark energy is a mysterious energy that is causing the accelerating expansion of the universe.
What is energy?Energy is the capacity to do work or produce heat. It exists in many forms, including kinetic energy (energy of motion), potential energy (stored energy of position), thermal energy (energy of heat), electrical energy, chemical energy, and nuclear energy. All forms of energy can be converted into one another, and can be used to power machines or to generate electricity. Energy is essential for powering the world's economies and for sustaining life on Earth.
Dark energy is believed to be a form of energy that is causing the universe to expand faster and faster. Scientists do not yet fully understand the nature of dark energy, but they have identified several potential candidates, including the cosmological constant and quintessence. Recent research suggests that dark energy may account for 68% of the universe's total energy content, making it the dominant form of energy in the cosmos.
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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
which statement describes the effect of increasing drop height upon the force encountered by the egg when colliding with the surface? (6 points) the force is not affected by the drop height the force is directly related to the drop height.
The idea that boosting the size would enhance the energy the egg would encounter upon impact with the surface defies logic. The little egg was unharmed when plopped onto 1 inch of foam.
What phrase best increasing growth?Increase has a range of often used synonyms, including expand, enlarge, and treble. All of the aforementioned verbs mean "to make by becoming greater," but "growing" in the passive voice denotes a steady increase in size, volume, or power. However, if used in the productive, it may also suggest a quick addition rather than a slow expansion. As he aged, his waistline expanded.
What is increasing in size?Numbers can be organized from lowest value to greatest value in ascending order. Left to right is the order. Another is bringing more order.
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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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Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series.answer choicesTrueFalse
The statement "Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series" is True.
The formula Lt = L1 + L2 + L3 is the correct formula for finding the total inductance of a circuit when there is more than one inductor connected in series.
When inductors are connected in series, the total inductance of the circuit is the sum of the individual inductances of the inductors. This is because the magnetic field created by each inductor adds together and the effective inductance is the sum of the individual inductances.
This is based on the principle of additivity of inductances in series. The total inductance of a series circuit is equal to the sum of the individual inductances. The current flowing through each inductor is the same and the voltage across each inductor is proportional to its inductance.
It is important to note that this formula is only true for inductors connected in series. When inductors are connected in parallel, the total inductance is given by the formula:
1/Lt = 1/L1 + 1/L2 + 1/L3 + ...
Where L1, L2 and L3 are the inductances of the inductors.
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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?".
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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A car travel from A to town B 145km distance in 3hrs 45min. Find it's average speed (a) in km/hr (b) in m/s
Answer:
39 km/hr (rounded)
Explanation:
use the equation speed=distance/time
Answer:
Explanation:
3hrs 45mins = 3 3/4 hours or 15/4 hours
average speed = 145km/15/4 = 145 x 4/15 = 29 x 4/3 = 38.67 km/h
m/s = 5/18 km/h
38.67 x 5/18 = 10.74 m/s
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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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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A bicycle that travels twice as fast as another when braking to a stop will skid sixteen times as far. depends on the bike's mass twice as far. eight times as far four times as far.
"A bicycle that travels twice as fast as another when braking to a stop will skid four times as far."
Kinetic energy has a speed term squared in its expression.
Accordingly, doubling your speed will result in a four times increase in energy (2² = four). Your energy will increase nine times if your pace is three times faster (3² = 9).
The energy of motion is known as kinetic energy, and it can be observed in the motion of objects or subatomic particles. Kinetic energy is present in all particles and moving objects. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.
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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 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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For time, t, in hours, 0 ≤ t ≤1, a bug is crawling at a velocity, v, in m/h given by v=51+t. Use Δt=0.2 to estimate the distance that the bug crawls during this hour.a) Find an overestimate and an underestimate.b) Then average the two to get a new estimate.
The overestimate and underestimate are 10.36 m and 51 m/h.10.28 m is the new estimate.
a) To estimate the distance that the bug crawls during this hour, we can use the formula:
distance = velocity multiplied by time
Using t = 0.2, we can find an overestimate by using t = 0.8 and an underestimate by using t = 0.
Overestimate: velocity = 51 + 0.8 = 51.8 m/h, distance = 51.8 x 0.2 = 10.36 m.
Underestimate: distance = 51 x 0.2 = 10.2 m velocity = 51 + 0 = 51 m/h
b) To find a new estimate, we can average the overestimate and underestimate: (10.36 + 10.2) / 2 = 10.28 m is the new estimate.
We used the formula distance = velocity x time to estimate how far a bug crawls in an hour. The velocity of the bug is given by the equation v = 51 + t, where t is the time in hours. To calculate the distance, we need to know the value of t.
In this case, we have a time range of 0 t 1, and we have chosen a small time interval of t = 0.2 to estimate the distance. Using this time interval, we can calculate the distance at different points in time within the given range.
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A baseball bat strikes a baseball with a force of 35 n. the bat is in contact with the ball for 0.12 s.
what impulse did the bat exert on the baseball to change the ball's momentum?
The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.
What is the impulse?Impulse is the sudden force or energy that causes an object to move in a particular direction. It is the product of a force applied over a certain period of time. Impulse is a vector quantity, meaning it has both magnitude and direction.
Forces such as gravity, friction, and pressure all create impulse. Impulse is also the integral of a force over a given period of time, which is the same as the change in momentum of an object. Impulse is an important concept in physics, as it can be used to describe the motion of objects and to calculate the velocity and acceleration of objects.
Using impulse-momentum theorem
[tex]\Delta p = F\Delta t[/tex]
p = 35 × 0.12
p = 4.2 Ns
Thus, The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.
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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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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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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 student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.What is the magnitude of the average force on the wall if the duration of the collision is 0.19 s ?
Express your answer to two significant figures and include the appropriate units.
A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.
The magnitude of the average force on the wall is 2026 N to two significant figures.
What is average force?Average force is the average of all the forces applied over a period of time. It is calculated by dividing the total force by the number of forces applied. For example, if you applied 10 forces over 10 seconds, the average force would be the sum of those 10 forces divided by 10. The average force is a measure of the average net force on an object over a given period of time and can be used to measure the rate of acceleration of an object. Average force can also be used in kinematics to calculate the velocity of an object over time.
The magnitude of the average force on the wall can be calculated using the equation: Force = (mass x velocity) / time, which can be rearranged to calculate Force = (mass x velocity) x time.
In this case, the mass of the snowball is 140 g, the velocity is 8.5 m/s, and the time of the collision is 0.19 s. Plugging these values into the equation gives us an average force of 2026.3 Newtons.
Therefore, the magnitude of the average force on the wall is 2026 N to two significant figures.
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The electric potential at a point that is halfway between two identical charged particles is 300 V. What is the potential at a point that is 25% of the way from one particle to the other?Ans: 400V
The electric potential at a point that is 25% of the way from one particle to the other is 400 V
What does "electric potential" mean?Electric potential is the effort required to transport a single charge from one point to another in the presence of an electric field. Earth is typically chosen as the reference point, but any location outside the range of a electric field charges may be used. potential electricity.
A position halfway among identical charged particles has an electric potential of 300 V.
Potential V= 300 V
Assume the distance between the charge is 2r.
The potential at mid point
Using formula of potential
V =K q / r
At mid point
V = V' + V"
V = K *q / r + K *q / r
2 Kq / r = 300
If a potential at a place is 25% of the distance between two particles
We must determine the separation between the charges.
d = 2r × 25 / 100
d = r / 2
We need to calculate the new potential
Using formula of potential again
V = V' + V"
V = K q / r/2 + K q / 3r/2
V = 2K q / r (1 + 1/3 )
On Putting the value of (2Kq / r)
V = 300 * (1 + 1/3 )
V = 400 V
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A car travels around a turn of radius 75 m on a road. it is snowing and icy outside. the coefficient of friction between tires and road is 0.60, what is the maximum speed the car can travel without slipping?
On a road, an automobile moves around a turn with a 75 m radius. The weather is freezing and snowy. the correlation Therefore, the car's top speed without slipping is roughly 6.8 m/s.
How politely would you say "approximately"?The most professional way to say "not precisely" is "roughly," although "about" is more frequently used in everyday English. An average coffee costs $3. What will the price be, more or less? He makes about $30,000 each year.
Calculation
To find the maximum speed the car can travel without slipping, you can use the formula:
v = sqrt(μ * g * r)
where v is the maximum velocity, μ is the coefficient of friction, g is the acceleration due to gravity (9.8 m/s^2), and r is the radius of the turn.
Plugging in the given values, you get:
v = sqrt(0.60 * 9.8 m/s^2 * 75 m) = sqrt(45.9 m^2/s^2) = 6.8 m/s
So the maximum speed the car can travel without slipping is approximately 6.8 m/s.
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at the end of a race a runner decelerates from a velocity of 8.80 m/s at a rate of 2.40 m/s2. (a) how far in meters does she travel in the next 4.80 s? (assume the deceleration of 2.40 m/s2 is constant over the full 4.80 s.)
The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position in a given direction. It is typically represented as a combination of a magnitude (speed) and a direction.
To determine the distance the runner travels in the next 4.80 s, we can use the equation of motion for constant acceleration:
d = vi*t + (1/2)at^2
where d is the distance traveled, vi is the initial velocity, t is the time interval, and a is the acceleration.
In this case, the initial velocity is 8.80 m/s, the acceleration is -2.40 m/s^2 (since it is deceleration), and the time interval is 4.80 s.
So, we can plug in the known values into the equation:
d = vi*t + (1/2)at^2
d = 8.804.80 + (1/2)(-2.40)*(4.80)^2
d = 42.24 m
The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.
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A tiny insect is trapped 1.0 mm from the center of a spherical dewdrop 4.0 mm in diameter.
As you look straight into the drop, what is the insect's apparent distance from the drop's surface?
Express your answer using two significant figures. Answer is in mm.
On the same side as the object, the distance is negative, so the apparent distance of the insect from the drop's surface is -3.0 mm. This means the insect appears to be 3.0 mm inside the surface of the drop.
Calculation-The apparent distance from the drop's surface can be calculated using the formula for the radius of curvature of a spherical mirror, which is given by:
1/R = (n-1)(1/R1 + 1/R2)
Where R is the radius of curvature of the spherical mirror, n is the refractive index of the medium between the object and the mirror, R1 is the distance of the object from the mirror, and R2 is the distance of the image from the mirror.
In this case, the dewdrop is the spherical mirror and the insect is the object. Since the dewdrop is filled with water, which has a refractive index of about 1.33, the insect is in the air which has a refractive index of 1.R1 = 1.0 mm (distance of the object from the center of the spherical mirror)
R2 = ? (distance of the image from the center of the spherical mirror)
1/R = (1 - 1)(1/1.0 mm + 1/R2)
R2 = -1/ (1/1.0 mm - 1/R)
We know that R = (4.0/2) mm = 2.0 mm, so we can substitute that into the equation and solve for R2:
R2 = -1/ (1/1.0 mm - 1/2.0 mm)
R2 = -3.0 mm
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Aume that two pherical tar of ma and form a binary tar ytem by
circling around their common center of ma. The ditance between the center of the tar i. A) What i the period of rotation for thi ytem?
b) What i the peed of tar A with repect to the common center of ma?
c) What would be the magnitude of the gravitational force a mall ma m feel if it i placed at the common center of ma of the tar?
Two spherical stars of mass mA and mB form a binary star system by circling around their common center of mass.
What is the perfect definition of mass?mass. [ măs ] A measure of the amount of matter contained in or constituting a physical body. In classical mechanics, the mass of an object is related to the force required to accelerate it and hence is related to its inertia, and is essential to Newton's laws of motion.
What is mass and volume?A Volume is the amount of space a three-dimensional object occupies and it is measured in cubic units. Two examples of cubic units are cm3 or in3. Mass on the other hand is a measure of how much matter is in an object.
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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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(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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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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A tennis ball with a speed of 28 m/s is mov-
ing perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 19.516 m/s.
If the ball is in contact with the wall for
0.0101 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take “toward the wall” to be the positive
direction.
the Average acceleration of the ball is 4704.6 m/s² away from the wall.
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the ball, we use the formula below
Formula:
a = (v-u)/t................. Equation 1Where:
a = Accelerationv = Final velocityu = Initia; velocityt = TimeFrom the question,
Given:
v = -19.516 m/s (Rebounds)u = 28 m/st = 0.0101 sSubstitute these values into equation 1
a = (-19.516-28)/0.0101a = 4704.6 m/s² aways from the wallHence, the acceleration of the ball is 4704.6 m/s².
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A highway curves to the left with radius of curvature of 44 m and is banked at 16 ◦ so that cars can take this curve at higher speeds. Consider a car of mass 1563 kg whose tires have a static friction coefficient 0.72 against the pavement. How fast can the car take this curve without skidding to the outside of the curve?
The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.
Given that,
Radius of the track r = 44 m
Inclination θ = 16°
Mass of car m = 1563 kg
Coefficient of kinetic friction μ = 0.72
By analysing the free body diagram, we get,
N cos θ - fr - m g = 0 ----(1)
where, N is normal reaction
fr is friction
N cos θ + fr cos θ = mv²/r ----(2)
fr = μ N ----(3)
From (1), (2) and (3) we get maximum velocity without skidding as,
v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s
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wave motion that is perpendicular to wave direction describes a____
Wave motion that is perpendicular to wave direction describes a transverse wave.
What is transverse wave?A transverse wave is a type of wave that moves perpendicular to its direction of energy transfer. This type of wave is characterized by oscillations or vibrations that take place perpendicular to the direction of energy propagation. Examples of transverse waves include electromagnetic waves such as light, radio waves and microwaves, as well as mechanical waves such as sound, seismic and ocean waves. In a transverse wave, the direction of the vibration is perpendicular to the direction of the energy transfer, while the direction of the energy transfer is parallel to the wavefront. Transverse waves can be described by their amplitude, frequency and wavelength. The amplitude of a transverse wave is the maximum displacement from its equilibrium position, while the frequency is the number of vibrations per second and the wavelength is the distance from one peak or trough to the next.
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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.
