Three sections will lengthen the total by 3 mm; hence, the total length of the two gaps should be equal displacement to or larger than 3 mm, making each gap 1.5 mm or greater.
What does physics mean by displacement?
The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
In physics, how do you express displacement?
Displacement in physics is denoted by the symbol s. The Greek word for "change in" is "delta," which is shaped like a triangle. Spatial position is indicated by the letter "s." It stands for "so"
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Compared to their values on Earth, on another planet yourmass would be the same but your weight would be different.
Your bulk and weight would be different on a different planet compared to how they are on Earth.
The correct option is A.
What do you mean by mass?This was the most basic characteristic of matter and is one of the essential building blocks of physics. The term "mass" refers to a body's total amount of matter. The kilo is the SI unit of mass (kg). A body's bulk remains constant throughout time.
How is mass determined?Scientists frequently use balances to quantify mass. Using an electronic balance or a beam balance, one may directly determine the mass of solids. A liquid's mass may be calculated by measuring its volume and using the density table to determine the liquid's density. The kg is the SI mass unit (Kg).
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The complete question is -
Compared to their values on Earth, on another planet your
(a) mass and weight would both be the same.
(b) mass would be the same but your weight would be different.
(c) weight would be the same but your mass would be different.
suppose you drop a ball from a window 30 meters above the ground. the ball bounces to 50% of its previous height with each bounce. what is the total number of meters (rounded to the nearest tenth) the ball travels between the time it is dropped and the ninth bounce?
30 metres above the earth, a ball from the a window. Each time the ball bounces, it rises 50% higher than before, which equals 30 + 30 [1 .58] / [1 .5] = 89.76m.
Physics of a ball's bounceSimilar to a spring, the air inside the ball contracts and then expands. A portion of the energy in the ball is transformed into heat during the contact. As a result, the ball launches upwards with much less energy than what it did when it first struck Earth.
What does the term "bounce" in physics mean?All of the kinetic energy must be expended when the ball strikes the ground. Much of it returns to the ball and gives it more power to bounce back into the air, therefore the more the potential energy, kinetic energy, and kinetic energy, more higher the bounce.
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B
decreases.
14. Three lights wired in series have resistances of 50, 150 and 30 . What is their equivalent
resistance?
A 0.33 0
C 50Q
B
3.3 Ω
Answer:
Explanation:
The formula for Equivalence resistance when the resistances are in series is as follows:
R=R1+R2+R3·····
The resistances add up when connected in series.
So we are given 3 resistances connected in series.
R1=50 ohms
R2=150 ohms
R3=30 ohms
The value for equivalence resistance R
R= 50+150+30
R=230 ohms
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The total resistance in a series connection in an electric circuit is the sum total of individual resistance which is (50+150+30) = 230 ohm.
What is Resistance?Resistance is a measure of the opposition to the electric current flow in an electrical circuit. Resistance is measured in the SI units of ohms, which is symbolized by the Greek letter omega (Ω). Ohms are named after the German physicist, Georg Simon Ohm (1784-1854), who studied the relationship between voltage, current, and resistance in an electric circuit.
The total resistance of a number of resistors in a series connection is equal to the sum total of all the individual resistances. In this circuit, the following applies.
I₁ = I₂ = I₃
Vt = V₁ + V₂ + V₃ and, Rt = R₁ + R₂ + R₃.
Therefore, the resistance in the circuit which comprises of three lights wired in a series connection is:
Rt = Total resistance = 50 + 150 + 30
Therefore, Rt = 200 ohms.
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claim b: more potential energy can be stored by moving against the magnetic force closer to a magnet. which variable will you test and which variable(s) will you keep the same? how will you measure the effect of each variable?
Definitely Not, since they are brought closer to one another in this instance, there will be a loss of potential energy as a result of the increased compression of space. As a result, this assertion is untrue.
Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
Potential energy is the energy that is stored in any object or system as a result of its position or component arrangement. The environment outside of the object or system, such as air or height, has no impact on it. In contrast, kinetic energy refers to the energy of moving particles inside a system or an item. Energy that cannot be turned into kinetic energy is known as potential energy. Potential energy is stored energy that is capable of performing work but is not doing so right now.
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how far from the lens does the pencil need to be for the magnification m to be -1?
For a lens with a negative focal length, the image formed by an object placed at the focal point will be a virtual, inverted image with a magnification of -1. The object needs to be placed at the distance of the negative focal length in front of the lens for the magnification to be -1.
What is magnification?Magnification is the capability to make small objects appear larger. For instance using it to make a microscopic organism observable. Resolution is the capability to differentiate two objects from each other.
Why do lens posses a positive magnification?A concave lens always creates a erect, virtual, and reduced image irrespective of its position. Hence, the magnification is always positive, but less than 1.
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what is the resistance of a 1500 w (120 v ) hair dryer?
The resistance of a 1500 watt (120 volt) hair dryer is 12 ohms.
What is resistance?Resistance is an opposition or a refusal to accept or comply with something. It is the ability to withstand or overcome something, such as an opposing force or influence. Resistance can also refer to a process of gradual change or transformation over time. Resistance is often seen in the form of protests, civil disobedience, or other forms of dissent. Resistance can also refer to the refusal to accept something as true or valid, such as a political or social ideology.
This can be determined by using Ohm’s Law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R). Therefore, if the voltage is 120 volts and the wattage is 1500 watts, the resistance can be calculated as follows: R = V/I = 120/1500 = 0.08, or 12 ohms.
It is important to note that the above calculation only applies to a hair dryer that runs on direct current (DC). If the hair dryer is running on alternating current (AC), the resistance may be slightly different. The resistance of an AC-powered hair dryer can be determined by measuring the current and voltage with a multimeter.
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A well lagged bar of 100cm has its end maintained at 90°C and 50°C respectively what is the temperature at a point 50cm from the hotter end.
The wrench in the figure has six forces of equal magnitude actingon it.Rank these forces (A through F) on the basisof the magnitude of the torque they apply to the wrench, measuredabout an axis centered on the bolt.Rank from largest tosmallest. To rank items as equivalent, overlap them.
The ranking of the forces on the basis of the magnitude of the torque they apply to the wrench, measured about an axis centered on the bolt, is as follows: D > B >E > F > A > C.
What is magnitude?Magnitude is a measure of the size or intensity of something. It is often used to describe the size of earthquakes, hurricanes, or other natural phenomena, as well as the strength of a person’s emotions or the size of a group of people.
A. Force E: This force is the farthest away from the bolt and applies the largest torque because it has the longest lever arm.
B. Force D: This force is second farthest away from the bolt and applies the second largest torque because it has the second longest lever arm.
C. Force C: This force is third farthest away from the bolt and applies the third largest torque because it has the third longest lever arm.
D. Force B: This force is fourth farthest away from the bolt and applies the fourth largest torque because it has the fourth longest lever arm.
E. Force F: This force is closest to the bolt and applies the fifth largest torque because it has the shortest lever arm.
F. Force A: This force is second closest to the bolt and applies the smallest torque because it has the second shortest lever arm.
Therefore, the ranking of the forces on the basis of the magnitude of the torque they apply to the wrench, measured about an axis centered on the bolt, is as follows: D > B >E > F > A > C.
In this case, the torque is determined by the magnitude of the angle force between the displacement vector and the applied force. Furthermore, torque can be maximised when the force is large in magnitude, located far away from the axis of interest, and oriented perpendicular to the displacement vector.
D > B >E > F > A > C.
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If the atomic radius of gold is 0.144 nm, calculate the volume of its unit cell in cubic meters (m^3)
If the atomic radius of gold is 0.144 nm, then the volume of its unit cell in cubic meters is 6.7847 × 10⁻²⁹ m³.
What is atomic radius?A chemical element's atomic radius, which is typically the average or typical distance between the nucleus's centre and the outermost isolated electron, serves as a gauge for the size of its atom. There are numerous non-equivalent definitions of atomic radius because the boundary is not a clearly defined physical entity.
Van der Waals radius, ionic radius, metallic radius, and covalent radius are the four most frequently used definitions of atomic radius. The atomic radius is typically measured in a chemically bonded state because it is difficult to isolate individual atoms to measure their radii separately.
However, theoretical calculations are easier when considering isolated atoms. A variety of definitions result from the dependencies on environment, probe, and state.
Atomic radius of gold (r) = 0.1442nm
= 0.1442 × 10⁻⁹m
Gold is FCC then
FCC unit cell side a = [tex]2\sqrt{2r}[/tex]
Unit of the volume v = a³ = ( [tex]2\sqrt{2r}[/tex] )
Unit cell volume (V) = 16[tex]\sqrt{2\times r^{3}[/tex]
volume of unit cell =6.7847 × 10⁻²⁹ m³
Thus, If the atomic radius of gold is 0.144 nm, then the volume of its unit cell in cubic meters is 6.7847 × 10⁻²⁹ m³.
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what is the speed of sound in kilometers per hour?
Answer:
Speed of Sound = 1234.9 kilometers per hour
Explanation:
Depends strongly on temperature and medium; the above answer assumes that the sound wave is propagating through an elastic medium at 20° C (68° F)
Practicals on simple machines
Answer:
1. Pulley System - Pulleys can be used to effectively transfer force, change the direction of a force and/or increase the power of a force. This can be used to teach the students how basic machines can be used to help in everyday life.
2. Lever System - Levers can be used to teach students about how their daily tasks can be made easier using a machine. It also helps illustrate the law of the lever.
3. Wheel and Axle - This machine allows students to learn how a wheel and axle can increase the torque or rotational force on an object thus allowing heavy loads to be moved with less effort.
4. Inclined Plane - This machine teaches students about how even large objects can be moved with a ramp as its sloped shape reduces the force needed to move objects.
5. Screw -The screw allows students to learn how force is transferred from one point to another. It also introduces them to concepts such as rotational force and torque.
a distracted student drops their water bottle. if the bottle is dropped from rest at a height of 1.2 m above the ground, how long will it take to hit the ground?
If the bottle is dropped from rest at a height of 1.2 m above the ground, it will take about 0.49 seconds for the water bottle to hit the ground by using the equation of motion.
To calculate the time it will take for the water bottle to hit the ground, we need to use the equation for motion under constant acceleration, which is the equation t = (2d/g)(1/2) is derived from the kinematic equation of motion, which relates the distance fallen (d), the initial velocity (vo), the final velocity (vf), acceleration (a), and time (t) in the following way: vf2 = 2a*d + vo2
t = (2*d / g)^(1/2)
where t is the time, d is the distance fallen, and g is the acceleration due to gravity (approximately 9.8 m/s2).
Plugging in the given values, we get:
t = (2 * 1.2 m) / 9.8 m/s^2
t = 0.49 s
So it will take about 0.49 seconds for the water bottle to hit the ground if it's dropped from a height of 1.2 meters above the ground.
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a block rides on a piston that is moving vertically with simple harmonic motion. (a) if the shm has a period 1.0s, at what amplitude of motion will the block and piston separate? (b) if the piston has an amplitude of 5.0 cm, what is the maximum frequency for which the block and piston will be in contact continuously
A block is supported by a moving piston. Both of the problem's components deal with the crucial scenario in which the highest acceleration equals that of nosedive (2.2Hz).
What exactly is a wave's amplitude?Amplitude is the separation between the wave's resting position and its highest displacement. Frequency is the number of waves that cross a particular place in a second. Period is the amount of time that it takes for a wave cycle to finish.
Describe an amplitude example.It refers to the greatest departure an item in periodic motion can make from equilibrium. As an illustration, consider how a pendulum swings past its market equilibrium straight down and then swings to the furthest point from the center.
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ion b has twice the mass and six times the charge of ion a. when placed in a constant electric field during electrophoresis, what is the ratio of the electric force experienced by ion b to the electric force experienced by ion a? a. 1:2 b. 6:1 c. 12:1 d. 1:12
F=qE force employed in charge constant-field situations is charge of ion x force of the E-field. Mass is irrelevant.
What do you mean by charge?
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or less electrons than protons it has.
What does the term "charge" in chemistry mean?
An electromagnetic field exerts a force on matter as a result of the physical attribute of charge. Positive or negative charges can exist in an electric field. The substance is regarded as neutral or uncharged if there is no net electric charge present.
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The dipole moment of the water molecule (H2O) is 6.17x10^-30C.m. Consider a water molecule located at the origin whose dipole moment p points in the +x-direction. A chlorine ion (Cl-), of charge-1.60x10^-19C, is located at x=3.00x10^-9m. Assume that x is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used.
Part A
Find the magnitude of the electric force that the water molecule exerts on the chlorine ion.
Part B
What is the direction of the electric force.
Part C
Is this force attractive or repulsive?
The magnitude of the electric force that the water molecule exerts on the chlorine ion is F = 1.60x10^-19C × 6.17x10^-30C.m / (3.00x10^-9m)^2 = 1.65x10^-48N.
What is magnitude ?
The magnitude of the electric force that the water molecule exerts on the chlorine ion is 1.65x10^-48N.
The direction of the electric force is in the +x direction, away from the chlorine ion.
The force is repulsive
Magnitude is a measure of the size or intensity of something. It is typically used to refer to physical quantities such as mass, force, speed, distance, or energy, but can also refer to abstract concepts like loudness, brightness, or importance. Magnitude is typically expressed on a logarithmic scale, such as the Richter scale for earthquakes or the decibel scale for sound. The magnitude of a physical quantity is often indicated by a unit of measurement, such as kilograms, newtons, miles per hour, or candelas.
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A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t)=VC0sinωt.If R=3kΩ, C=100pF, VC0=100mV, and ω=105rad/s, what is VR?
The time-dependent voltage across the capacitor is given by VC(t)=VC0sinωt.If R=3kΩ, C=100pF, VC0=100mV, and ω=105rad/s, then the vr is 3 mv.
What is capacitor?A capacitor is an electrical component consisting of two conductors separated by an insulator, known as a dielectric, designed to store electrical energy. They are most commonly used in applications such as filters, wave shaping, and energy storage.
Capacitors can store electrical energy in the form of an electrostatic field, which is created between the two conductors when a voltage is applied. The amount of energy stored is directly proportional to the amount of voltage applied, as well as the size of the conductors and dielectric used.
Since the voltage across the capacitor is a sine wave with a maximum amplitude of 100mV and a frequency of 105rad/s, the voltage across the resistor is also equal to 100mV.
Therefore, the voltage across the resistor, VR is equal to 100mV.
capacitive reactance, XC = 1/(w×c)
= 1/(10^5×100×10^-12)
= 10^5 ohms or 100 k ohm
current amplitude through the ckt, I = VCo/XC
= 100×10^-3/(10^5)
= 1×10^-6 A
vR = I×R
= 1×10^-6×3×10^3
= 3×10⁻³ v
= 3 mv
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an elevator starts from rest with a constant upward acceleration and moves 1 m in the first 1.8 s. a passenger in the elevator is holding a 8.9 kg bundle at the end of a vertical cord. what is the tension in the cord as the elevator accelerates? the acceleration of gravity is 9.8 m/s 2 . answer in units of n.
The tension in the cord is 81.82 N, if the elevator moves 1 m in the first 1.8 seconds.
Initial speed of the elevator, u = 0 (at rest)
Distance travelled by the elevator, S = 1 meter
Time taken to cover the that distance, t = 1.8 s
Let the acceleration of the elevator = a
Mass of the bundle, m = 8.9 kg
By the second equation of motion,
S =ut + 0.5at²
1 = 0 × 1.8 + 0.5×a×1.8²
a = 2/1.8²
Acceleration, a = 0.617 m/s²
Weight of the bundle acting downward = 8.9×9.81 = 87.31 N
Upward force on the bundle, F = 8.9 × 0.617 = 5.49
Net tension in the cord = (87.31 - 5.49)
= 81.82 N
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a special electronic sensor is embedded in the seat of a car that takes riders around a circular loop-the-loop ride at an amusement park. the sensor measures the magnitude of the normal force that the seat exerts on a rider. the loop-the-loop ride is in the vertical plane and its radius is 15 m. sitting on the seat before the ride starts, a rider is level and stationary, and the electronic sensor reads 720 n. at the top of the loop, the rider is upside down and moving, and the sensor reads 390 n. what is the speed of the rider at the top of the loop?
In the seat of a vehicle that transports passengers around a circular circle at an amusement park is a specific electronic sensor. The sensor calculates.
What do you mean by electronics?
Definition. To control the flow of electric impulses again for purposes of processing information and system control, electronic devices are necessary. The two most notable examples are transistors and diodes. Integrated circuits are compact packages that may hold numerous electronic devices that are typically small in size.
Why is technology employed today?
Through the usage of personal computers and mobile phones, it improved people's lives and shortened the distances between different countries. It improved discussion and opened up access to languages, some of which depended on translation features, while also facilitating communication between people, communities, and nations.
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Part B At what displacement; as a fraction of A, is the mechanical energy half kinetic and half potential? Express your answer in units of A to two significant figures_ AZd Submit RequesL_Answel rovide Feedback Type here t0 search
At a displacement of A/√2, the mechanical energy is equal to half the kinetic energy and half the potential energy.
Mechanical energy is the sum of kinetic energy and potential energy. The law of conservation of energy will be used here to determine the displacement of the spring.
Maximum energy of the spring at maximum amplitude(A), U = 0.5kA²
Let the energy at a displacement (x) is U₁ = 0.5kx²
The kinetic energy would also be the same, U₂ = U₁
So, U = U₁ + U₂
U = U₁ + U₁ = 2U₁
0.5kA² = 2 × 0.5kx²
0.5kA² = kx²
A² = 2x
x = √(A²/2)
x = A/√2
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The aluminum foil on a certain roll has a total area of 18.5m^2 and a mass of 1275-g. Using a density of 2.7g/cm^3 for aluminum, determine the thickness in millimeters of the aluminum foil.
The aluminum foil is 2.5 millimeters thick. For instance, a certain roll measures 18.5 m^2 in size and weighs 1275 g. making use of the 2.7g/cm^3 density of aluminum.
Its density is defined as its mass per unit of volume (also known as specific mass or volumetric mass density). Although density can also be symbolised by the Latin letter D, the most typical mark is (the lower case Greek letter rho). The mathematical definition of density is mass divided by volume. Aluminum foil, usually referred to as aluminium foil in North American English, is a thin metal leaf made of aluminium that has a thickness of less than 0.2 mm (7.9 mils), but micrometres (0.24 mils) are also widely used. It is commonly known as tin foil.
In terms of thickness, 1275/(18.5*104*2.7*10-3) = 2.5mm.
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What’s the answers ?
The responses for the parameters of the block-spring system are;
(a) 1161.98
(b) 40.8 J
(c) 6.86 kg
(d) 2,75 m
(e) 25.9 J
(f) 14,9 J
(g) -0,224 m
What is the type of motion of a block spring system?The motion of a block-spring system is a simple harmonic oscillatory motion.
(a) The formula for the total kinetic energy is; K. E = (1/2)·k·x²
Where;
k = The spring constant
x = The diatplacemtent of the spring
The total mechanical energy, E = 40.8 J
The displacement of the spring, x = 0.265 m
Therefore;
40.8 = (1/2)·k·x²
k = 2 × (40.8/0.265²) ≈ 1161.98
The spring constant is about 1161.98 N/m
(b) The kinetic energy of the system at the equilibrium point is the same as the total energy or 40.8 J
(c) Kinetic energy, K.E. = (1/2)·m·v²
m = K.E./((1/2)·v²)
m = 10.8/(1/2×3.45²) ≈ 6.86
The mass is about 6.86 kg
(d) When the displacement is 0.160 m. we get;
What Is The Speed Of The Block When Irs Displacement Is 0.160 m
ω = √(k/m)
v = ω·√(A² - x²)
v = √(1161.98/6.86) × √(0.265² - 0.160²) ≈ 2.75
The velocity when the displacement is 0.160 m. is about 2.75 m/s
(e) The kinetic energy when the displacement is 0.160 m. is therefore;
K.E. = (1/2) × 6.86 × 2.75² ≈ 25.9
The kinetic energy when the displacement is 0.160 m. is about 25.9 J
(e) The total mechanical energy during the motion of the spring, is 40.8 J, we get;
P,E. = E - K,E,
The potential energy in the string when the displacement is 0.160 meters is therefore; P.E. = 40.8 - 25.9 = 14.9
The potential energy is 14.9 J
(g) Energy lost = 11.7 J
0.5 × 6.86 × ((1161.98/6.86) × (0.265² - x²) = 11.7
Solving, we get;
x ≈ -0.224 m
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how are moving electric charges related to electric and magnetic fields
Moving electric charges create electric and magnetic fields.
What is electric?Electricity is the flow of electrical energy or charge through a material. It is a form of energy that comes from a variety of sources, including natural sources such as lightning, or from man-made sources such as batteries, generators, or power plants. Electricity is a fundamental part of modern life, and is used for a variety of purposes, from powering lights, appliances, and machines to providing heat and cooling. It is also used to transmit information over long distances, such as through telephone and internet networks.
Electric fields are created when a moving charge exerts a force on other charges, while magnetic fields are created when a moving charge creates a circular force around itself. Electric and magnetic fields can interact with each other and can cause a force to act on other electric charges.
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A 10-N falling object encounters 10 N of air resistance. The net force on the object is a. 4 N. b. 6 N. c. 10 N. d. 0N e. none of these
If an object weighs 10 N and is falling to the ground while encountering air resistance of 10 N, the net force acting on the object will be zero N.
Describe force.In physics, a force is an input that has the ability to alter the motion of an object.
A force can cause an object with mass to move at a different speed or accelerate. A push or a pull can also be used to describe forces intuitively. Considering that a force is a vector quantity, it does have strength and direction. It is measured in terms of the SI unit, the metric newton (N).
As per given information,
The object weighs 10 N.
Air resistance + friction = 10 N
The net force will then be,
10 - 10 = 0 N
The net force will therefore be 0 N.
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4. || a large raindrop-the type that lands with a definite splat-has a mass of 0.014
g and hits your roof at a speed of 8.1 m/s.
a. what is the magnitude of the impulse delivered to your roof?
b. if the raindrop comes to rest in 0.37 ms, what is the magnitude of the
average force of the impact?
The magnitude of the impulse delivered to your roof is 1.134 x 10⁻⁵ kg.m/s. The magnitude of the average force of the impact is 0.0307 N.
What is the force's impulse?If the force is constant, the impulse of force is created by multiplying the resultant force, F, by the length of this force, t. The impulse of force is what changes the state of motion, which then changes the state of momentum.
How would you define impulse?a sudden, unplanned tendency for or invitation to certain frequently unreasonable behavior. a predisposition or innate tendency that is frequently irrational. a pulse of excitement that moves through tissues, especially muscles and nerve fibers, and, by observing nerve signals, either stimulates or inhibits physiological action.
Given;
Mass of the raindrop, m = 0.0014 g = 0.0014 x 10⁻³ kg
Speed of the rain, v = 8.1 m/s
Time of motion, t = 0.37 ms
(a) The impulse delivered to the roof is calculated as;
J = ΔP = mv
[tex]J=(0.0014*10^-3)*(8.1)\\J=1.134*10^-5 kg.m/s[/tex]
(b) The magnitude of the force of impact is calculated by applying Newton's second law of motion,
F = ma
[tex]F=\frac{mv}{t}[/tex]
[tex]F=\frac{(0.0014*10^-3)(8.1)}{0.37*10^-3} \\F=0.0307N[/tex]
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Echolocation is a form of sensory perception used by
most bats, toothed whales and porpoises, as well as a
few birds. The animal emits a pulse of sound which
is reflected from objects; the reflected pulse is then
detected by the animal to learn about its environ-
ment or interact with other animals. Echolocation • waves emitted by whales have frequencies of about 200,000Hz. (a) What is the wavelength of the whale's echolocation wave? (b) If an obstacle is 100m from the whale, how long after the whale emits a wave will the reflected wave return to him?
(a) The wavelength of the whale's echolocation wave is 1.66 x 10⁻³ m.
(b) The time taken for the reflected sound wave to return is 0.6 second.
What is the wavelength of the whale's echolocation wave?The wavelength of the whale's echolocation wave is calculated by applying the relationship between the speed of sound, wavelength and frequency of sound.
Mathematically, the formula is given as;
v = fλ
where;
v is the speed of sound wave = 331 m/sf is the frequency of sound = 200,000 Hzλ is the wavelength of the sound = ?λ = v / f
λ = ( 331 ) / ( 200,000 )
λ = 1.66 x 10⁻³ m
The time taken for the reflected sound wave to return is calculated as follows;
v = ( 2d ) / t
t = ( 2d ) / ( v )
where;
d is the location of the obstaclet = ( 2 x 100 m ) / ( 331 m/s )
t = 0.6 second
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the skaters then rotate around the center of the pole. assume that the friction between skates and ice is negligible. what are (a) the radius of the circle, (b) the angular speed of the skaters, and (c) the kinetic energy of the two-skater system? next, the skaters pull along the pole until they are separated by 1.0 m. what then are (d) their angular speed and (e) the kinetic energy of the sy
Following are the different values asked in the question-
The kinetic energy of the two-skater system is 8.8 102J..
Each skater weighs m = 50 kg.
Two skaters are separated by a distance of d = 3m.
Each skater moves at a velocity of 1.4 meters per second.
The diameter of the circle formed by the separation of two stars. Then, we may determine the angular speed by using this and the relationship between v, r, ω. To get the kinetic energy of the two-skater system, enter the information into the rotating K.E. formula. As you get closer, continue the same process to locate the.
Equations: V = r ω
KE = 1/2 I ω²
Given that both skaters have the same mass and opposite, equal, and accelerating velocities, their total linear momentum is zero. As a result, the system's center of mass stays fixed at the pole's center.
They are 3 meters apart, and that distance will remain constant as it is the diameter of the circular motion they will be performing.
Consequently, the circular motion's radius is 1.5m.
Given that both skaters have the same mass and opposite, equal, and accelerating velocities, their total linear momentum is 0
As a result, the system's center of mass stays fixed at the pole's center.
They are 3 meters apart, and that distance will remain constant as it is the diameter of the circular motion they will be performing.
Consequently, the circular motion's radius is radius is 1.5m.
The angular speed of the skaters is
ω = 0.93 rad/s
The two-skater system's moment of inertia is I = (mr2) I = 2 (50) (1.5)2 I = 225 kgm 2.
The two-skater system's kinetic energy is K.E = I2 K.E = (225) (0.93)2 K.E. = 98J.
Step 6: When skaters pull along the pole until they are separated by 1.0 m, determine their angular speed (d)
The radius of the rotating motion would be r f = = 0.5m if the skaters drag the pole till they are separated by.
The two-skater system's M.I would then be
If = 25kgm2 and If = 2 (50) (0.5)2.
I0; = I f W f is the definition of the law of conservation of angular momentum.
As a result, the skaters' angular speed is given by f= If = 2250.93 25 of 8.4 rad/s =
Step 7: Determine the system's kinetic energy when skaters drag the pole until they are separated by 1.0 m. (e)
The two-skater system's kinetic energy is given by K.E = I2 K. E f = (25) (8.4)2 K. E. 8.8 102J.
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A jet plane is speeding down the runway during takeoff. Air resistance is not negligible. Draw a free body diagram
Weight: The weight of the jet plane is exerted upon it because the plane has some mass. The action of the weight is downward.
The Lift or the Normal Force: The lift force is the force that works against the weight of the aircraft to propel it upward in the air. The weight of the plane exerts a normal force that keeps the aircraft in the air.
Thrust: The force that aids in propelling an airplane in the desired direction is known as the thrust force. The jet engine is what generates this force. The plane is propelled forward through the air by this force.
Drag: The differential in velocities between solid things and the air is what produces drag. The jet plane's forward momentum is resisted by the drag force.
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11) a truck with momentum 40,000 kg * m/s comes to rest and then reverses direction and now has momentum of -40,000 kg * m/s. what is the change in momentum
The change in the momentum of the truck is 80000 kg-m/s. If the truck comes to rest and then reverse its direction.
Momentum(p) of an object is nothing but the product of the mass(m) and the velocity(v). Momentum is used to calculate the applied force by a moving object that changes its state of motion. As the rate of change of momentum is equal to the force. Change of momentum for a very short time is known as the impulse. Momentum is a vector quantity.
Change in momentum(Δp) = initial momentum(p₁) - final momentum(p₂)
Initial momentum, p₁ = 40000 kg-m/s
Final momentum, p₂ = -40000 kg-m/s
Δp = 40000 - (-40000) = 80000 kg-m/s
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two negative point charges are a distance x apart and have potential energy u. if the distance between the point charges increases to 3x, what is their new potential energy?
The new potential energy will be u/3. The energy that an item holds due of its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy.
What is the system's potential energy of two negatively charged particles?When the two charges in a system are in opposition to one another—that is, when one charge is negative and the other is positive—the potential energy of the system is negative; it is positive when the charges are equal.
When two charges are separated, does the system of charges' electric potential energy increase?The square of the distance between the charges has an inverse relationship with the potential energy. Additionally, it depends on whether the two charges have the same sign or the opposite sign; if they do, potential energy will decrease; if they have the opposite sign, it will grow.
Is there an increase or decrease in the system's electric potential energy when two negative charges are brought closer together?Two charges' potential energy increases as you get them closer, whether they are two positive or two negative charges. This requires positive work on the system. Potential energy increases when r decreases between two positive or two negative charges since it is proportional to 1/r.
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reddit two parakeets sit on a swing with their combined center of mass 24.0 cm below the pivot. at what frequency (in hz) do they swing?
We are expected to determine how often the pendulum swings. About 1.58 Hz/1.58 H z was the swing frequency of the two parakeets.
What does a pendulum's motion indicate?This is so because the pendulum's swinging motion results from the pull of gravity produced by the magnitude of the earth. The velocity of a pendulum can also be influenced by other elements, such as its length. Advertisement. Background. An object suspended from a fixed location and swinging back and forth due to gravity is known as a pendulum.
What are the benefits of pendulum exercises?The pendulum stretch, among other shoulder stretches, can increase the range of motion, alleviate discomfort, and improve flexibility. This activity has been recommended by your doctor or physical therapist to assist speed
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