It is true that the force of attraction between two objects is called gravity. Gravity is the force that attracts two objects towards each other, and it is proportional to the mass of the objects and the distance between them.
On what does the strength of the gravitational force depends?The strength of the gravitational force depends on the masses of the objects and their separation, and it is described by Newton's law of gravitation.
What does Newton's law of gravitation state?According to Newton's law of gravitation, the gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
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a 190-pound man has a total foot imprint area of 72 in2. determine the pressure exerted by this man on the ground if he stands on both feet.\
The man on the ground would be applying 2,625 psi of pressure (pounds per square inch).
To determine this, divide the man's weight (190 lbs) by the total area of his footprint (72 in2).
190 ÷ 72 = 2,625 psi
Pressure: The amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Its abbreviation is "p" or "P." The IUPAC suggests using a lower-case p when referring to pressure. However, many people use the capital P. The appropriate use of P vs. p relies on the field in which one is employed, the proximity of other symbols denoting quantities like power and momentum, as well as writing style.
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as you look out of your dorm window, a flower pot suddenly falls past. the pot is visible for a time t , and the vertical length of your window is lw . take down to be the positive direction, so that downward velocities are positive and the acceleration due to gravity is the positive quantity g . from what height h above the bottom of your window was the flower pot dropped?
The height h above the bottom of your window was the flower pot dropped is = 1/2gt² - lw.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Acceleration due to gravity is = g
Time taken to fall is = t
The length of the window is = lw
Hence, the height h above the bottom of your window was the flower pot dropped is
= distance travelled by the pot - the length of the window
= 1/2gt² - lw.
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va 1500-nf capacitor with circular parallel plates 2.0 cm in diameter is accumulating charge at the rate of 38.0 mc/s at some instant in time. what will be the induced magnetic field strength 10.0 cm radially outward from the center of the plates? what will be the valuc of the field strength after the capacitor is fully charged?
After the capacitor is fully charged, the current will be zero, and the magnetic field strength will be zero as well.
Magnetic field strength, also known as magnetic intensity or magnetic field intensity, is the portion of a material's magnetic field that is caused by an external current and is not intrinsic to the material itself.
It is denoted by the vector H and is measured in amperes per metre.
The magnetic field strength produced by a charged capacitor can be calculated using Ampere's law:
[tex]\vec{B} = \frac{\mu_0 I}{2\pi r}[/tex]
where \mu_0 is the permeability of free space,
I is the current flowing through the capacitor, and
r is the radial distance from the centre of the plates.
At the instant when the capacitor is accumulating charge at a rate of 38.0 mc/s,
The magnetic field strength at a radial distance of 10.0 cm can be calculated as:
[tex]B = \frac{\mu_0 I}{2\pi r} \\= \frac{\mu_0 \cdot 38 \times 10^{-6}}{2\pi \cdot 0.1} \\= 2.41 \times 10^{-7} \text{ T}[/tex]
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an earth satellite moves in a circular orbit 769 km above the earth's surface. the period of the motion is 81.1 min. what is the magnitude of the centripetal acceleration of the satellite in m/s2?
The magnitude of the centripetal acceleration of the satellite is [tex]8.162 m/s^2.[/tex]
Centripetal acceleration: What is it?Centripetal acceleration is the term used to describe the speed of a body moving in a circular path. Since velocity is a vector quantity (it has a magnitude, a speed, and a direction), it varies as a body moves in a circular motion, causing acceleration. The circle's center is the direction in which the acceleration is pointed. Meters per second squared are used to measure centripetal acceleration. This acceleration is brought on by a force known as centripetal force, which is also pointed in the direction of the circle's center.
Given, h = 769 km
[tex]Rearth = 6.38 x 10^6m\\Rtotal = 6.38 \times 106769 \times 10^3 \\Rtotal = 4.90 \times 10^6 \\T = 81.1 \times 60 = 4866 sec \\V = 2\pi \times r \\V = 2\times 4.90 \times 10 4866 \\Linear Velocity, V = 6,324 m/s \\[/tex]
Now, the Magnitude of Centripetal Acceleration = Total
(6324)2 Magnitude of centripetal acceleration = 4.90 x 10
Magnitude of centripetal acceleration =[tex]8.162 m/s^2[/tex]
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if mass of the object is doubled, what would happen to the centripetal force?
how many g's of acceleration does the astronaut experience when the device is rotating at top speed? each 9.80 m/s2 m / s 2 of acceleration is 1 g.
The number of g's of acceleration that the astronaut experiences when the device is rotating at top speed cannot be determined from the information given. The information provided only defines that each 9.80 m/s^2 of acceleration is equivalent to 1 g, but the actual acceleration experienced by the astronaut is not specified.
While on the moon, astronauts endure microgravity, but they also experience hypergravity (up to 3.2 g) during takeoff. The strongest gravitational forces, up to 9 g, are felt by their Earth-based friends, jet pilots. The time required for a growth to change its tangential velocity is 1.3 seconds. Due to the fact that it starts at rest, the initial velocity is zero.
Discover the tangential velocities at the start and end. If you're having problems, find the angular velocity and acceleration, then multiply those values by the radius. Your acceleration will be determined by the velocity change throughout the passage of time.
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calculate the amount of power supplied by the signal generator, vg1, and the amount of power dissipated in each of the two resistors in the circuit at 5 khz.
The power can be calculated by the formula P resistor = IV = I2R = / (4R).
The voltage across each resistor in the circuit can be determined using Ohm's law:
V = IR
where V is the voltage, I is the current, and R is the resistance.
This allows us to compute the power dissipation in each resistor as follows:
P = IV = I 2 R + V 2 R
We can assume that the voltage across each resistor is half of the overall voltage in the circuit since the resistors are similar. The voltage of the signal generator, vg1, is the same as the overall voltage in the circuit.
Consequently, vg1 / 2 is the voltage across each resistor.
The circuit's current can be calculated using Ohm's law:
I = V / R = vg1 / (2R)
R stands for each resistor's resistance.
You may calculate the power provided by the signal generator, vg1, by using:
IV = vg1 * I = vg12/P supplied (2R)
The power dissipation in each resistor can be calculated as follows:
P resistor = IV = I2R = / (4R)
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what is the direction of the current, clockwise or counter-<:lockwise, that needs to flow in orderto lift the ball up along the z direction?
The magnetic field created by the current and the direction of the magnetic field relative to the direction of the magnetic force on the ball determine the direction of the current that must flow in order to lift the ball up along the z direction.
What is current?A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or space is referred to as an electric current. The net rate of passage of electric charge through a surface or into a control container is monitored. Electric current refers to the flow of electricity in an electrical circuit as well as the amount of electricity flowing through a circuit. It is measured in amperes (A). The higher the ampere value, the more electricity flows across the circuit.
Here,
The direction of the current is often determined by applying the right-hand rule to the magnetic field and the direction of the force on the conductor. However, without further information on the intricacies of the arrangement and the exact orientation of the magnetic field, determining the exact direction of the current is impossible.
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the position of a particle moving along the y-axis has a position given by . is there any time interval during which the particle is not moving?
There is no such time interval when the particle is not moving during its motion in the y-axis.
The position of the particle in the y axis is give by the relation,
y = 0.20+8t-10t²
Differentiating with respect to time,
dy/dt = 8-20t
Now, we know,
dy/dt = speed
So,
Speed = 8-20t
For not moving the particle should have zero speed at that moment, so putting speed = 0,
8-20t = 0
8 = 20t
t = 20/8
t = 2.5 second
Now, here we are asked of any "interval" now any specific moment where the particle is at rest, because speed is only zero at only one moment, there is no such interval of zero speed, also, it might be possible that at 2.5s the particle is turning so we cannot be sure.
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Complete question - The position of a particle moving along the y axis has a position given by y = 0.20+8t-10t². Is there a time interval during which the particle is not moving?
T/F the anti-lock brake system engages every time the driver applies the brakes.
Every time the driver presses the brakes, the anti-lock brake system activates. ABS was initially created for boats. If the brake pulsates while ABS is active.
When the driver applies the brakes, does the anti-lock brake system activate?
Every time the driver presses the brakes, the anti-lock brake system activates. When ABS is engaged, a grinding sound is typical. ABS enables you to brake as hard as possible while still steering. Your ABS will not function properly if a warning light illuminates.
What are the functions of anti-lock brakes?By giving your tires some traction again in an emergency, anti-lock braking systems (ABS) assist you in steering. How It Works: aids in preventing wheel locking, potentially enabling the motorist to maneuver to safety. What It Isn't Able To Do The stopping distance may not be shortened; the pedal may shake or push back; this is okay.
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what are the different kinds of twilight we experience each day?
There are three types of twilight which are defined based on the position of the sun below the horizon and the amount of light in the sky are civil twilight, nautical twilight, and astronomical twilight. The exact timing of the different types of twilight can vary depending on the observer's location, latitude, and the time of year.
What is twilight?Twilight is the period of time each day when the sun is below the horizon but there is still some natural light in the sky. This occurs just before sunrise and merely after sunset.
When does nautical twilight happen?Nautical twilight occurs when the sun is between 6 and 12 degrees below the horizon. During nautical twilight, the sky is not bright enough for outdoor activities but is bright enough for navigation at sea.
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what was its speed when its height was half that of its starting point? what wasa roller coaster starts from rest at its highest point and then descends on its (frictionless) track. its speed is 20 m/s when it reaches ground level.its speed when its height was half that of its starting point? 17 m/s 10 m/s 7.1 m/s 14 m/s
The roller coaster possesses only potential energy when it begins motion from rest at its greatest point, which is equal to 21.2ms2 (rounded to the next decimal point).
What is the definition of potential energy?Potential radiation is a term that stored energy that depends on the interactions between various system elements. A spring's potential energy rises when it is stretched or squeezed. A steel ball does have more potential energy if it is lifted just above ground аѕ opposed to dropping to the ground.
What three types of potential energy are there?Stones perched on a cliff's edge have potential energy. If the stones fall, the potential energy would be transformed into kinetic energy. Because they have the ability to fall to the ground, tree branches high in the tree carry potential energy. We consume chemical potential energy in our food.
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A circuit with a 70 V battery, a 55 Ω resistor, a resistor with 0.2 A across it, and another 55 Ω resistor in series. What is the resistance of the unknown resistor?
Answer:
350 Ω
Explanation:
The resistance of the unknown resistor can be found by using Ohm's Law, which states that the voltage (V) across a resistor is equal to the current (I) flowing through it multiplied by the resistance (R). We know the voltage (70 V) and the current (0.2 A) for the circuit, so we can find the resistance of the unknown resistor as follows:
V = IR
70 V = 0.2 A * R
R = 70 V / 0.2 A
R = 350 Ω
So the resistance of the unknown resistor is 350 Ω.
a car making a 100-km journey travels 40 km/h for the first 50 km. how fast must it go during the second 50 km to average 50 km/h?
For a 100-km journey, the average speed must be 100/2 = 50 km/h. The average velocity is 66.66 km/h.
Given: - Total Distance = 100 km
Average velocity = 50 km/h
Now Average Velocity = Total Distance / Total Time
=> 100 / T1 + T2 = 50 km/h
=> 100 / (50/40) + (50/v) = 50
=> 2 = (50/40) + (50/v)
=> v =4/3 x 50
=> 200/3 km/h
=> 66.66 km/h
Average speed is a measure of the overall rate of motion of an object over a certain time period. It is calculated by dividing the total distance traveled by the time taken to cover that distance. It is expressed in units such as meters per second, miles per hour, or kilometers per hour. Average speed is different from instant speed, which is the speed of an object at a particular moment in time.
Average speed is commonly used in physics, transportation, and sports to determine the performance of an object or system. For example, in transportation, the average speed of a car can be calculated by dividing the total distance traveled by the time it took to cover that distance. In sports, the average speed of a runner or swimmer can be determined by measuring the distance covered and the time taken to complete the race.
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if the metal is irradiated with light of wavelength 500 nm, what is the momentum of the emitted photoelectron?
The momentum of the emitted photoelectron is [tex]8\times10^{-9}m[/tex].
What is Momentum?Simply put, momentum is the quantity of motion. Since an object has momentum if it is moving and has mass, quantity may be measured in this situation. An object lacks momentum if it is immobile.
whenever you throw a ball at a person and it hits him in the face. It shows how challenging it would have been to put a halt to the situation. In the air, a baseball is swooping. There is a big truck moving. a gun of this type shot a bullet.
How do we calculate the momentum?According to the photoelectric effect, hv=W 0 +eV.
Alternatively, hc =W 0 +eV
or [tex]500 \times 10^{-9}[/tex]
[tex](6.6×10 ^{−34} )\times(3\times10^8 )\\ \\ =2.28 \times 1.6 \times 10^{-19} +eV[/tex]
or eV=0.311019, or V=0.2
V should be V0.2 in this case.
The electron's de Broglie wavelength, = V 12.2710 10
so, λ≥2.[tex]8\times10^{-9}[/tex]
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a 1000-kg car traveling with a speed of 25 m/s skids to a stop. the car experiences an 8000 n force of friction. determine the stopping distance of the car
The required stopping distance of the car when mass, speed and force experienced are given is calculated to be 39.1 m.
The car's mass is said to be 1000 kg.
The speed of the car is calculated to be 25 m/s.
The car experiences 8000 N of frictional force.
We need to find out the stopping distance of the car.
Initially, the car's height is 0, so the potential energy of the car is zero.
Kinetic energy of the car is 1/2 × 1000 × 25² = 312500 J.
Finally, potential energy of the car is 0 and kinetic energy of the car is zero.
The work done is,
W = F d cos 180° = -8000 d
From the principle of conservation of energy,
TME i + W ext = TME f
where,
TME i is total mechanical energy initial
TME f is total mechanical energy final
W ext is work done external
After placing the values into the equation above,
312500 + (-8000 d) = 0
8000 d = 312500
d = 39.1 m
Thus, the stopping distance of the car is 39.1 m.
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astronomers observe a typical star using a telescope and a spectrometer. they will see: a. a continuous spectrum b. an emission spectrum c. an absorption spectrum d. a doppler shift e. more than one of the above
Astronomers observe a typical star using a telescope and a spectrometer. they will see an absorption spectrum .
Absorption spectroscopy is the name given to spectroscopic methods that assess how much radiation is absorbed as a function of frequency or wavelength when it interacts with a substance. The sample takes in energy from the emitting field, or photons. The absorption spectrum is a fluctuation in the intensity of the absorption that varies with frequency. The entire electromagnetic spectrum is used for absorption spectroscopy.
An analytical chemistry instrument called absorption spectroscopy is used to find out whether a specific drug is present in a sample and, frequently, to quantify how much of it there is. Analytical applications frequently use infrared and ultraviolet-visible spectroscopy. Additionally, astronomical spectroscopy, remote sensing, and studies of molecular and atomic physics all make use of absorption spectroscopy.
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which of the six numbered features represents emission lines?
The first line represents the emission lines of the spectrum.
In the electromagnetic spectrum, a line pattern is observed. This line pattern is something that is unique for every element and it is represented by the dip in the energy gap of the electrons revolving in the atoms.
Here, in the graph pattern attached, out of the six numbered lines, the line number one represents the emission lines because the electron are releasing their energy and going back to there own ground state level.
This emission when seen on the screen, it will be observed a unique pattern of the bright lines for that particular element.
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A 0.560 kg box slides from rest down a 4.30 m high ramp that forms an isolated system . The energy lost to friction is 1.00 J. What is the speed of the box at the bottom of the ramp? Take the bottom of the ramp as the reference level.
The speed of the box at the bottom of the ramp is 8.98 m/s.
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.
The kinetic energy of the box at the bottom of the ramp = (0.560 × 9.8 × 4.30 - 1.0) Joule
= 22.60 joule.
Hence, the speed of the box at the bottom of the ramp = √(2 × 22.60/0.56) m/s
= 8.98 m/s
Therefore, the speed of the box at the bottom of the ramp is 8.98 m/s.
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the plot depicts the position versus time of a toy car in one dimension. during which time interval(s) is the car going backward?
The plot depicts the position versus time of a toy car in one dimension. during 4 — 6 seconds and 0—2 seconds intervals is the car going backward.
Time in PhysicsTime in physics is determined by its measurement. This measurement requires extreme precision, which leads to the requirement that time be considered a linear continuum that is indivisible and not quantized. However, with sophisticated tools, time is now measured accurately using modern atomic time standards such as TAI and UTC.
In classical/non-relativistic physics, time is a scalar quantity and the general concept used is absolute time. Meanwhile, in relativity, time is understood as something relative. In contrast, Quantum Mechanics states that in fact time may not be a central concept in quantum theory as in classical physics and there is actually no such thing as quantum time.
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Most electromagnets have a core?
A) Why is iron usually used for the core
B) What would happen if you used steel instead
Iron has strong ferromagnetic properties and that is why it is used as core in electromagnets. However, iron can easily be demagnetized but steel cannot. Steel forms permanent magnet.
What is an electromagnet ?An electromagnet is a material which can form a magnetic field in the presence of an electric field. The magnetic field strength depends on the nature of the material as well the strength of the electric field.
Iron is a metal exhibiting strong ferromagnetic properties. The magnetic field lines can align along the applied field and it can be lost when the applied field is removed.
Therefore, iron can be demagnetized when the switch is off. If we use steel instead it would be very difficult to demagnetize and will form a permanent magnet.
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true or false: if a hard magnetic material is heated above its curie temperature and then cooled back to room temperature it will regain its original permanent magnetization.
The claim that a hard magnetic material will restore its initial permanent magnetization if heated above its curie temperature and subsequently cooled to room temperature is untrue.
When a magnetic substance reaches its Curie temperature, what happens?The alignment of a material's magnetic moments is compelled into a disordered state when it reaches its Curie temperature. On the basis of the same concept, a material's magnetic strength gradually decreases when it is subjected to progressively greater temperatures.
If a magnet is heated to a high temperature, what will happen?If heated over its melting point or for an extended period of time, a magnet will permanently lose its magnetic force at a temperature of about 80 °C.
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wave x travels eastward with frequency f and amplitude a. wave y, traveling in the same medium, interacts with wave x and produces a standing wave. which statement about wave y is correct?
The statements correct about wave x travels eastward with frequency f and amplitude a. And wave y, traveling in the same medium, interacts with wave x and produces a standing wave is wave Y must have a frequency of f, an amplitude of A, and be traveling westward (option 4)
When waves of the same frequency and amplitude moving in opposite directions collide, standing waves are produced.
It has areas (known as nodes) where the amplitude is always zero and areas (known as antinodes) where the amplitude changes a great deal. The distance between two consecutive nodes or antinodes can be used to calculate the length of a standing wave.
The question is incomplete, it should be:
Wave x travels eastward with frequency f and amplitude a, wave y, traveling in the same medium, interacts with wave x and produces a standing wave. Which statement about wave y is correct?
The question is incomplete, it should be:
(1) wave Y must have a frequency of f, an amplitude of A, and be traveling eastward.
(2) wave Y must have a frequency of 2f, an amplitude of 3A, and be traveling eastward.
(3) wave Y must have a frequency of 3f, an amplitude of 2A, and be traveling westward.
(4) wave Y must have a frequency of f, an amplitude of A, and be traveling westward.
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consider a battery with an internal resistance of 4.0 ohms connected to a 16-ohm and a 20- ohm resistor in series. the current in the 20-ohm resistor is 0.3 amperes. what is the emf of the battery?
The emf of the battery is 12 Volt. The result is obtained by using the formula for electromotive force.
How to find the electromotive force (emf)?Electromotive force can be expressed as
E = V + Ir
E = I (R + r)
Where
V = potential differenceI = currentR = load resistancer = internal resistanceA battery with an internal resistance of 4.0 ohms connected to a 16-ohm and a 20- ohm resistor in series. The current in the 20-ohm resistor is 0.3 amperes. Find the emf of the battery!
We have R₁ = 16 Ω and R₂ = 20 Ω in series. The total load resistance is
R = R₁ + R₂
R = 16 + 20
R = 36 Ω
The current along the series circuit is the same. So, we have I = 0.3 A.
The electromotive force will be
E = I (R + r)
E = 0.3 (36 + 4.0)
E = 0.3 (40)
E = 12 Volt
Hence, the battery has the electromotive force of 12 Volt.
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four charged particles are moving directly above or below a horizontal current-carrying conductor at the instant shown above. the signs of the charges and direction of motion of the charges are indicated in the figure. particle a is moving horizontally out of the page, particle b is moving vertically upward, particle c is moving horizontally into the page, and particle d is moving horizontally to the right. which two charged particles will not experience a magnetic force at this instant? select two answers. responses
Particle A and Particle D will not experience a magnetic force at this instant when four charged particles are moving directly above or below a horizontal current-carrying conductor.
A charged particle goes in a straight line if its velocity is parallel to the magnetic field and there is no net force acting on it. According to Fleming's Left Hand Rule, the magnetic field will be upward because the magnetic force is directed northward. If a charged particle moves parallel to the magnetic field, there won't be any force acting on it as it passes through the field. When the magnetic field and velocity are in the same direction, the magnetic force, which is proportional to their cross product, is zero.
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a lion can produce a roar with a sound intensity level of 114 db at a distance of 1.00 m . what is the sound intensity level at a distance of 4.00 m ? assume that intensity obeys the inverse-square law.
A lion can produce a roar with a sound intensity level of 114 db at a distance of 1.00 m . The intensity level at 4 m from the lion is 16 DB.
Though it is a unit of pressure rather than sound, the decibel, or dB, is frequently used to measure sound levels. A decibel is a logarithmic unit that expresses a physical quantity's relationship to a reference level.
The square of the distance has an inverse relationship with the decibel intensity.
I₂ = D₁²
I₁ D₂²
The sound intensity level at one meter is 114 dB.
I₂ = 1²
114 4²
I₂ = 16 Db
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relative velocity. of airplanes a and b are moving southwest with speed , and north?west with speed , respectively, what is the relative velocity of b with respect to a?
The velocity of the an object in relation to another observer is referred to as its relative velocity. It is the pace at which the relative positions of two objects change over time.
What is relative velocity used for?When compared to another observer, an object's relative velocity is its speed. It is the pace at which the relative position with one thing in relation to another object changes over time.
Give an example of relative velocity.It combines an object's direction and speed. However, when we discuss relative velocity, it indicates that we're talking about velocity of one item in relation to another. And what exactly is relative velocity? An object's relative velocity is its speed in relation to another object, B.
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when rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. what was the angle of the mountain surface above the horizontal?
The angle of the mountain surface above the horizontal is calculated to be 75°.
Velocity of an object rolled is given as 7 m/s.
Horizontal component of velocity is given as 1.8 m/s.
Drawing a triangle, V becomes the hypotenuse and Vx becomes the adjacent side. We get the formula from that image using the characteristics of a right triangle.
Therefore, cos x = Vx / V.
where, x is the angle we are calculating
The formula's cos x value is obtained by substituting the given values: cos x = 1.8 m/s / 7 m/s = 0.257.
x = cos⁻¹(0.257) = 75 degrees
Thus, the angle of the mountain surface above the horizontal is calculated to be 75 degrees.
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ball a is thrown upward with a velocity of 19.6 m/s. two seconds later ball b is thrown upward with a velocity of 9.8 m/s. which ball is first to return to the thrower's hand?
Both balls return to the thrower's hand at the same time.
To determine which ball returns first to the thrower's hand, we need to find the time it takes for each ball to reach its maximum height and then fall back down to the thrower's hand.
Let's consider ball A first. The initial vertical velocity of ball A is 19.6 m/s and the acceleration due to gravity is -9.8 m/s².
Using the equation of motion:
v = u+ (a × t)
where h is the height, v is the final velocity, u is the initial velocity, t is time, and a is acceleration,
we can find the time it takes for ball A to reach its maximum height:
v = 0 m/s (∵ at max. ht velocity becomes zero)
u = 19.6 m/s
a = -9.8 m/s²
∴ 0 = 19.6 + (-9.8 × t)
∴ t = 2 sec
So, ball A reaches its maximum height 2 seconds after being thrown, and comes back down 2 seconds later i.e., 4 seconds after being thrown.
Next, let's consider ball B. The initial vertical velocity of ball B is 9.8 m/s and the acceleration due to gravity is -9.8 m/s^2. We can find the time it takes for ball B to reach its maximum height,
Using the same equation of motion:
v = u+ (a × t)
where h is the height, v is the final velocity, u is the initial velocity, t is time, and a is acceleration,
we can find the time it takes for ball B to reach its maximum height:
v = 0 m/s (∵ at max. ht velocity becomes zero)
u = 9.8 m/s
a = -9.8 m/s²
∴ 0 = 9.8 + (-9.8 × t)
∴ t = 1 sec
So, ball B reaches its maximum height 1 second after being thrown, and comes back down 1 second later i.e., 2 seconds after being thrown.
∵ ball B was thrown 2 seconds after ball A. the actual total time taken by ball B to reach back to the thrower's hand is (2+2)= 4 seconds.
So, both balls fall back to the thrower's hand at the same time which is 4 seconds after ball A is thrown.
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Answer:
Both balls return to the thrower's hand simultaneously.
EXPLANATION:
To decide which ball returns to the thrower's hand first, we must calculate the time it takes each ball to reach its greatest height and then fall back down to the thrower's hand.
Let's start with ball A. Ball A has an initial vertical velocity of 19.6 m/s and a gravitational acceleration of -9.8 m/s2.
Using the motion equation:
v = u+ (a × t)
where h denotes height, v denotes ultimate velocity, u denotes starting velocity, t denotes time, and a denotes acceleration,
We can calculate how long it takes ball A to reach its maximum height:
v = 0 m/s (the maximum velocity is zero)
u = 19.6 m/s
a = -9.8 m/s²
∴ 0 = 19.6 + (-9.8 × t)
∴ t = 2 sec
So, ball A achieves its maximum height 2 seconds after being thrown and returns to earth 2 seconds later, or 4 seconds later.
Let's go on to ball B. Ball B has an initial vertical velocity of 9.8 m/s and a gravitational acceleration of -9.8 m/s2. We can calculate the time required for ball B to reach its maximum height.
Using the same equation of motion as before:
v = u+ (a × t)
where h denotes height, v denotes ultimate velocity, u denotes starting velocity, t denotes time, and a denotes acceleration,
We can calculate how long it takes for ball B to reach its maximum height:
v = 0 m/s (the maximum velocity is zero)
u = 9.8 m/s
a = -9.8 m/s²
∴ 0 = 9.8 + (-9.8 × t)
∴ t = 1 sec
So, ball B achieves its maximum height one second after being thrown and returns to earth one second later, or two seconds later.
Ball B was launched two seconds after ball A. Ball B's actual total time to return to the thrower's hand is (2+2)= 4 seconds.
As a result, both balls return to the thrower's hand at the same moment, 4 seconds after ball A is thrown.
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Describe the behaviour of light that enables magnifying lenses and conttact lenses to bend light rayd
The nature of light that enable enables magnifying lenses and contact lenses to bend light ray is called refraction.
What is refraction ?Refraction is an optical phenomenon causing the light ray to bend from its straight way at the edge of objects. When light passing from one medium to the other of different density, light ray will bend at the boundary of the mediums.
The measurement of this bending of light is called refractive index of the medium. Refractive index of a medium is the ratio of the speed of light in the medium to the speed of light in air.
Magnifying lenses and contact lenses bend the light ray and make the image more closer than they appear because, bending of light makes light rays seemed to be coming from the upper plane above the original.
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