The astronaut being pushed back into his seat as the rocket accelerates - this was the example of Newton's first law of motion.
What is Newton's first law of motion?According to Newton's First Law, a body in uniform motion or at rest will remain in that state up to and unless a net external force acts on it.
When the astronaut worked at the space center launching rockets, no force is worked on him. When the rocket accelerates, according to Newton's first law of motion, the astronaut remains in same motion, that's why, he pushed back into his seat .
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What are the similarities and differences between static stretching and ballistic stretching?
Explanation:
This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means:
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.
When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.
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A microscope slide of the letter "p" is placed on the microscope stage so that it is oriented right side up with respect to the student using the microscope. What will the letter resemble when she observes the letter through the microscope?
On the microscope slide, a specimen will appear upside-down and facing left while it is actually right-side up and facing right.
What is the orientation of a microscope?The orientation of the specimen image is reversed when viewed via a microscope compared to the orientation of the actual specimen. As a result, when viewed under a microscope, the specimen will appear to be upside-down and backwards.
Coarse Adjustment Knob: To concentrate the specimen, the coarse adjustment knob, which is placed on the microscope's arm, raises and lowers the stage. With just a partial turn of the adjustment knob, the gearing system creates a significant vertical movement of the stage.
Condenser-Objective lens-Body tube-Eyepiece is the proper order for the flow of light in a compound microscope.
Use two hands at all times when moving your microscope. Lift the scope while encircling the arm with one hand.
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If we have an unmarked magnet, how can we tell which end is the north pole of the magnet? a. Hold it near a compass and the north end of the compass points at the north end of the magnet. b. Hold it near a compass and the north end of the compass points at the south end of the magnet. c. Suspend it from a string and the end that points toward the geographic north pole (Santa's workshop) is the north end. d. Hold it near a piece of steel and the end that attracts the steel is the north end. e. The end that is attracted to the south end of a known magnet is the north end. f. The end that is attracted to the north end of a known magnet is the north end.
If we have an unmarked magnet, hold it near a piece of steel and the end that attracts the steel is the north end.
What is the magnet?
A magnet is an object made of certain materials that produces a magnetic field. This field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, and attracts or repels other magnets. Magnets are widely used throughout the world in a variety of applications, from the simple refrigerator magnet to the most advanced technologies such as MRI machines. Magnets come in many shapes and sizes and can be natural or artificial. The magnetic field of a magnet is caused by the motion of electric charges and is measured in guess.
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How far from the base of a building must a 25 ft ladder be placed so that it reaches 15 ft up the wall?
Using the Pythagorean theorem, we can determine that the best distance for the ladder is 20 feet away from the base of the building.
The third side of this triangle is unknown, so we will apply the Pythagorean theorem to determine it. There is 25 feet of ladder available, the wall is 15 feet above the ground, the ladder must be at least that high.
In order to calculate the distance between the ladder and the building =
X = √(25^2) - (15^2)
= 20 feet
Thus, the ladder should be placed 20 feet away from the base of the building.
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You have a small globe, which is mounted so that it can spin on the polar axis and can be spun about a horizontal axis (so that the south pole can be on top).
Give the globe a quick spin about the polar axis, and then, before it stops, give it a spin about the horizontal axis. Are there any points on the globe that are at rest?
(A) There are two points, fixed on the globe, that are at rest,
(B) There are two points that are instantaneously at rest, but these two points move around the globe in an apparently random fashion,
(C) At some times two points are instantaneously at rest,
(D) There are no points at rest until the globe stops spinning
A globe is a miniature replica of the planet. We can see the size, shape, and placement of continents and oceans, which is helpful.
What is used to mount a globe?A globe's stand is attached to the meridian. Latitude (coordinate) markings can be found on several meridian lines. These markings range from 0° at the equator to 90° at the north and south poles.
The Unisphere is tipped at an angle of 23.5 degrees, which corresponds to the tilt of the Earth.
The globe makes it possible to see the entire planet at a glance. Along with their latitudes and longitudes, it displays many nations, continents, and oceans. The units of latitude and longitude are degrees and minutes.
Altazimuth and Equatorial mounts are the two main categories of astronomical telescope mounts. The simplest sort of mount, known as an altazimuth (sometimes spelled alt-az), has two motions: azimuth (horizontal) and altitude (vertical).
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What is the contribution of hydroelectric power in world electricity?
Hydroelectric power accounts for between 16 and 17 percent of global electricity production, making it one of the most significant renewable energy sources.
In 2016, hydropower contributed more than twice as much to the grid as the next largest renewable energy source, solar. Hydropower can provide many valuable services to the power grid beyond just energy generation. These include frequency regulation, voltage support, contingency reserves, load following, and black start service, all of which contribute to the reliability and safety of the power system. Hydropower's role in grid-scale energy storage, balancing services for other intermittent renewables like wind and solar power, and water management services by reservoirs are growing.
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why are ventilations for a room put near the roof and not near the floor
Answer:
Ventilators are provided near ceilings in the rooms of our houses because the hot air is lighter and rises out of the room through the ventilators. Cool fresh air rushes into the room through the doors and windows to occupy its place.
A 55 kg skater pushed by a friend accelerates 3 m/s2. How much force did the friend apply?
Answer: 165 N.
Explanation: To find out how much force was applied by the friend, you need to use the following formula:
F = ma where F is force, m is mass, and a is acceleration. Now we can plug in the values given.
F = 55 x 3 = 165
F = 165
The amount of force the friend applied is 165 N.
Hope this helps! :)
why are earthquakes hard to predict??
answer fast
Answer:
Reliable predictions require precursors – some kind of signal in the earth that indicates a big quake is on the way. The signal has to happen only before large earthquakes and it has to occur before all big quakes. At the moment seismologists have failed to find those precursors – if they even exist.
How does convection cause tectonic plates to move?
A
Convection keeps the plates thin enough to move.
B
Convection makes the plates solid enough to move.
C
The rising heat of convection currents moves the almost-liquid rocks.
D
The pressure of convection bends rocks until they break completely.
The plates become sufficiently stable by convection. The almost liquid rocks are moved by the convection currents' growing heat, hence option C is correct.
What are tectonic plates?Rocks flex under the pressure of convection until they entirely fracture. Radiation decay in the core causes convection currents, which are produced by heat rising and sinking inside the mantle.
In convection currents, the plates are moved. The separation of plates occurs when convection currents split close to the Earth's crust.
Therefore, the convergence of convection currents causes plates to move in the same direction.
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A brain-imaging method using radio waves and magnetic fields of the body to produce detailed images of the brain is called __________.
Magnetic Resonance Imaging is a technique for producing precise pictures of the brain that uses radio waves and the magnetic fields of the body.
What imaging processes make use of magnetic fields and radio waves?A magnetic field and radio waves produced by a computer are used in the medical imaging procedure known as magnetic resonance imaging (MRI), which produces precise pictures of your body's organs and tissues.
Describe an MRI picture.The noninvasive medical imaging procedure known as magnetic resonance imaging, or MRI, creates precise pictures of virtually every internal bodily structure, including the organs, bones, muscles, and blood arteries. A sizable magnet and radio waves are used in MRI scanners to produce pictures of the human body.
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1. An unknown sample has a mass of 49. 2 g. The original volume of water in a graduated
cylinder is 47. 0 mL. When the unknown sample is placed into the graduated cylinder, the
water level rises to 52. 5 mL. What is the identity of this substance?
According to given data the volume of the unknown sample is 52. 5 mL - 47. 0 mL = 5.5 ml.
Why is a graded cylinder referred to as such?One typical style of lab glassware is graduated cylinders. They are a long, cylindrical vase with graduations marking the volume of liquid they can hold. Spouts are frequently included to make pouring easier.
Why is graduation significant?Your graduation will go down in history as a significant event; it will stand for development, change, and embarking on new experiences. Celebrate your accomplishments thus far and be grateful for the memories this phase of your schooling has provided you.
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The curve to the right shows the radioactive decay of a particular sample of a nucleus called Element A. A particular nucleus survives for the first five hours, what's the probability that particular nucleus of Element A will decal between hours 5 and 10? What is the probability that particular nucleus of element A will decay between 5 and 20 hours?
The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 0.7, and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 0.9.
What is nucleus?
Nucleus is a fundamental subatomic particle which is present in the atoms of all chemical elements. It is composed of protons and neutrons and is the heaviest and most densely packed constituent of atoms. It is the core of an atom, and it is the positive charge that attracts the electrons, which are negatively charged particles. The nucleus is surrounded by a cloud of electrons which determine the properties of the atom and its chemical behavior. The size of the nucleus is typically around one hundred-thousandth of the diameter of the atom. It is held together by strong nuclear forces and has a diameter of around 10-15 femtometers.
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The probability that a particular nucleus of Element A will decay between 5 and 10 hours is 1/2 and the probability that a particular nucleus of Element A will decay between 5 and 20 hours is 7/8.
What do you understand by the probability of disintegration of a radioactive substance?The total number of identical nuclei present in the nucleus affects how likely it is that the nucleus will disintegrate per second in a radioactive sample. Each nucleus breaks down on its own, regardless of any external factors. Consequently, the likelihood of nuclei disintegrating is the same.
The expression for the disintegration equation is given by
N(t) = N₀[tex]e^{-\lambda t}[/tex] .... (1)
The half-life of the particle for 5 hours is given by
N(5) = N₀/2
Substitute in equation (1) to get
N₀[tex]e^{-\lambda t}[/tex] = N₀/2
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln2/5
The half-life of a particle for 10 hours is given by
N(10) = N₀/4
N₀[tex]e^{-\lambda t}[/tex] = N₀/4
[tex]e^{-\lambda t}[/tex] = 1/2
λ = ln4/10
The probability of disintegration is given by:
P = N(5) - N(10)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/4)/(N₀/2)
= (N₀(2-1)/4)/ N₀(1/2)
= 1/2
The probability of element decay between 5 to 10 hours is 1/2.
Now, the half-life of a particle for 20 hours is given by
N(20) = N₀/16
N₀[tex]e^{-\lambda t}[/tex] = N₀/16
[tex]e^{-\lambda t}[/tex] = 1/16
λ = ln16/20
The probability of disintegration is given by:
P = N(5) - N(1\20)/N(5)
Substitute the values, to get
P = (N₀/2 - N₀/16)/(N₀/2)
= (N₀(8-1)/16)/ N₀(1/2)
= 7/8
The probability of element decay between 5 to 20 hours is 7/8.
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A person pushes a book against a wall so that the book does not move. a. Draw a free-body diagram for the book. Label the forces as you did in the tutorial Forces. b. For each force that appears on your free-body diagram, identify the corresponding force that completes the Newton's third law (or action-reaction) force pair.
What is dynamic flexibility example?
Dynamic flexibility example is a swimmer may circle their arms before getting into the water.
What is dynamics flexibility?
A person's absolute range of motion that is possible with movement is referred to as dynamic flexibility. Alternatively put, the greatest range of motion is the farthest you can bend, turn, or reach utilizing velocity and momentum. Some people use the terms ballistic or functional flexibility to describe dynamic flexibility.Prior to a workout or any type of activity, dynamic stretching is a fantastic approach to improving flexibility and engaging key muscles. The benefits will help you perform at your best as an athlete, thus it should always be done before any activity.Dynamic stretching involves regulated movements that get your muscles, ligaments, and other soft tissues ready for action and safety.To learn more about dynamics flexibility refer to:
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In which situation is the maximum possible work done? A. when the angle between the force and displacement is 0° B. when the angle between the force and displacement is 180° C. when the angle between the force and displacement is 45° D. when the angle between the force and displacement is 90°
As a result, the force's effort is at its greatest when there is no angle between its direction and displacement, hence option A is correct.
What is work done?According to physics, a force is an effect that has the power to change an object's motion.
A force can cause a massed item to accelerate or modify its velocity. A push or a pull is a straightforward method to explain forces. Since a force has both magnitude and direction, it is a vector quantity.
Therefore, work is therefore at its greatest when the angle between force and displacement is 0 °.
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Answer: A. when the angle between the force and displacement is 0 degrees.
Explanation:
Edmentum
A classroom has a volume of
165 m^3. How many moles of gas
are in the room if the temperature
is 20. 0°C and the pressure is
1. 00 atm?
(Make sure to put P, V, and I
in the right units. )
(Unit = mol)
The number of moles in the room which has a volume of 165 m³ is 0.0686 moles
The volume of the classroom = 165 m³
The temperature of the room = 20°C
= 293 K
The pressure = 1 atm
The number of moles in the room can be found using the formula,
PV = nRT
where P is the pressure
V is the volume
n is the number of moles
R is the gas constant
T is the temperature
Let us rearrange the above equation, we get
n = PV/RT
Let us substitute the known values in the above equation, we get
n = 1 x 165 / 8.21 x 293
= 165 / 2405.53
= 0.0686 moles
Therefore, the number of moles in the room is 0.0686 moles
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The seatback must be adjusted far enough for your __________ to rest on the top of the steering wheel when your arm is comfortably extended.
The seatback must be adjusted far enough for your wrist to rest on the top of the steering wheel when your arm is comfortably extended.
What is the motion of steering wheel?The majority of modern automobiles, compact trucks, and SUVs have a rack and pinion steering. This transforms the steering wheel's rotational action into the linear motion which rotates the wheels and directs your course. A steering pinion, a circular gear, is used in the system to lock teeth on a rod (the rack).
What kind of basic device is a steering wheel?The basic device at work in steering, doorknobs, turbines, and bicycle wheels is a wheel and axle. An inclined plane wound around a cylinder is known as a screw.
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Which term is the rate at which work is done?
a. energy
b. power
c. joules
d. force
The rate at which work is completed is indicated by the power word, hence option b is correct. Power, which can be defined as the amount of work done W.
Is the time rate at which the job is completed or energy is given. Energy transferred, expressed as W/t or energy transferred against the time interval t. Work (or energy) per unit time, foot-pounds per minute, joules per second (or watts), and ergs per second are all ways to express power. Work is defined as involving both force applied to the body and displacement of the body. Consider a block that is resting on a horizontal, frictionless floor. A consistent force is acting on this block.
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Answer: B.) power
Explanation: Get dem hearts up:)
Which of the following bodies are at thermal equilibrium when being put into contact? (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C (3) A jar of water of internal energy E at 25 °C A(1) and (2) only B(1) and (3) only C(2) and (3) only D(1), (2) and (3)
When two bodies at equal temperature are brought in contact with each other then no heat flows between them and they are said to be in thermal equilibrium.
When bodies in contact are in thermal equilibrium then they have the same?When the engine temperature eventually reaches the same level as the ambient temperature, thermal equilibrium has taken place. After being placed on the table and waiting a short while, a cup of hot tea cools to the same temperature as its surroundings.
This is where thermal equilibrium occurs. the set temperature at which all of a solid's mass melts. When the solid turns into a liquid, both the solid and the liquid coexist in the thermal equilibrium.
The individual drove himself to his location. The engine temperature was excessively high during that time, but it eventually dropped to the air temperature outside. When the engine temperature eventually reaches air temperature, thermal equilibrium has occurred.
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A(1) and (2) only of the following bodies are at thermal equilibrium when being put into contact. i.e. (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C .
What is thermal equilibrium?When two physical systems are linked by a channel permeable to heat, they are said to be in thermal equilibrium if there is no net transfer of thermal energy between them. The zeroth law of thermodynamics is observed during thermal equilibrium.As internal energy is measured in terms of the body temperature, when two bodies are in thermal equilibrium, their internal energies will also be equal.
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According to the law of reflection, what is the relationship between the angle of incidence and the angle of reflection
The law of reflection, The relationship between the angle of incidence and the angle of reflection is that they are equal.
The angle of incidence is the angle between the incoming light ray and the normal line (a line perpendicular to the surface of the reflecting material), and the angle of reflection is the angle between the reflected light ray and the normal line. When a light ray strikes a reflection surface at a certain angle, it will be reflected back at the same angle. This relationship is represented by the equation.
=> angle of incidence = angle of reflection
This relationship holds true for all types of electromagnetic waves and for all surfaces that are reflective, whether they are smooth or rough, opaque or transparent. It's important to note that this is true for regular reflection, which is defined as the reflection of light off a smooth surface. If the surface is rough, the light rays are reflected in many different directions, this is called diffuse reflection.
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Marc’ favorite ride at Busch Gardens is the Flying Umbrella, which is lifted by a hydraulic jack. The operator activates the ride by applying a force of 72N to a 30cm2 cylindrical piston, which holds the 20,000N ride off the ground. What is the area of the piston that holds the ride?
The area of the piston that holds the ride is 8333,33 [tex]cm^{2}[/tex]
For hydraulic press system pressure in = pressure out
P = Pressure
F = Force
A = Area
The formula P = [tex]\frac{F}{A}[/tex]
We know F1 = 72 N, A1 = 30 [tex]cm^{2}[/tex]
F2 = 20000 N
The area of the piston that holds the ride = A2
P 1 = P2
[tex]\frac{F1}{A1}[/tex] = [tex]\frac{F2}{A2}[/tex]
[tex]\frac{72 N}{30 cm^{2} }[/tex] = [tex]\frac{20000 N}{A2}[/tex]
A2 = 20000 N : ( [tex]\frac{72 N}{30 cm^{2} }[/tex] )
A2 = ( 20000 N x 30 cm2 ) : 72 N
= 8333,33 cm2
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When the velocity arrow and the acceleration arrow both point in the same direction, the velocity of the object is decreasing.
It is a False statement, because the acceleration arrow points forward, but the velocity arrow is reversed.
What is meant by acceleration?
Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not travelling straight ahead, it is said to be accelerating.In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. Vector quantities include accelerations.An object's acceleration is oriented according to the direction of the net force acting on it. the degree to which an object accelerates, as stated by Newton's Second Law.When a vehicle accelerates in its present direction of motion, this is referred to as linear acceleration (or tangential acceleration in circular motions), and the reaction felt by the passengers is a force that pulls them back into their seats.To learn more about acceleration refer to
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The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse
Answer:
The maximum amplitude of the resultant pulse would be 30 cm.
Explanation:
The maximum amplitude of the resultant pulse would be 30 cm.
The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is
20 cm + 10 cm = 30 cm.
This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.
When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.
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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.
What is amplitude?
A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.
The amplitude of pulse A is 20cm.
The amplitude of pulse B is 10cm.
Hence, the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load
arm of 6 meters? († point)
O 50 J
O 100 J
O 600 J
0 72 J
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is 50 J.
option A is the correct answer.
What is the work done by the lever?
A lever is a simple machine that makes work easier and faster. When a lever is used, a small effort will be used to overcome a large load.
The efficiency of a machine increases when the output force is greater than the input force.
Mathematically, the formula for the efficiency of a machine is given as;
Eff = ( output force / input force ) x 100 %
The output force is given by the following formula;
F ( out ) = load x distance moved by load
The input force is given by the following formula;
F ( input ) = effort x distance moved by effort
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;
work = ( 600 x 6 ) / ( 12 x 6 )
work = 50 J
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Answer:
600 J
Explanation:
The work is not equal to the initial work divided by the effort arm.
In a Torricelli barometer, a pressure of one atmosphere supports a 760 mm column of mercury. If the original tube containing the mercury is replaced with a tube having twice the diameter of the original, what would be the height of the mercury column at one atmosphere of pressure
After the original tube containing the mercury is replaced with a tube having twice the diameter of the original tube the height of the mercury column at one atmosphere of pressure is 760 mm.
What is the fundamental meaning of pressure?The force delivered perpendicularly to an object's surface per unit area across which this force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure represents the pressure. Pressure is expressed to use a multitude of units.
How is pressure measured?The formula for calculating pressures is P = F / A, or force per unit of the surface area. The Si system for measuring the pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa).
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A mass of 1.5 kg moves in a circle of radius 25 cm at 2.0 Hz. Calculate:
a) the velocity. b) the acceleration. c) the centripetal force acting on the mass.
Answer:
To solve this problem, you can use the following formulas:
Velocity (v) = 2πr * f
Acceleration (a) = v^2 / r
Centripetal force (F) = ma
In these formulas, r is the radius of the circle, f is the frequency of the circular motion, and m is the mass of the object.
a) To find the velocity of the mass, you can substitute the values given into the formula for velocity:
v = 2πr * f
= 2π(0.25 m) * 2.0 Hz
= 1.57 m/s
So, the velocity of the mass is approximately 1.57 m/s.
b) To find the acceleration of the mass, you can substitute the values given into the formula for acceleration:
a = v^2 / r
= (1.57 m/s)^2 / 0.25 m
= 4.45 m/s^2
So, the acceleration of the mass is approximately 4.45 m/s^2.
c) To find the centripetal force acting on the mass, you can substitute the values given into the formula for centripetal force:
F = ma
= 1.5 kg * 4.45 m/s^2
= 6.68 N
So, the centripetal force acting on the mass is approximately 6.68 newtons.
60 points!
What is the average time for the toy car to move 1.0 m on dirt?
21.2 s
22.4 s
23.1 s
63.7 s
Answer:
it should be 23.1
Explanation:
You have to look at the scale and then you calculate it
Two speakers are driven by the same amplifier. The first speaker is placed in the origin, the second one is free to move along the x-axis (see figure). A receiver is placed on the on the y-axis, a distance L from the origin. The speakers emit sound at frequency f, the velocity of sound in the air is v. The second speaker is initially in the origin and it is the slowly moved toward the positive x-axis. Write the results in terms of L, f, and v.
a) What is the wavelength of the sound waves in the air?
b) Find the first position x of the second speaker at which the receiver does not get any sound (destructive interference).
c) Find the first position x of the second speaker at which the receiver gets maximum intensity (constructive interference). Exclude the x=0 position
The results in terms of wavelength, velocity, and frequency i.e (L,f,v) are as follow,.
(a) λ = v/f
(b) The value of the first minimum will be [tex]x =\sqrt{\frac{v^2}{4 f^2}+\frac{v L}{f}}[/tex]
(c) The position for the first maxima of 2nd speaker = [tex]$$x=\sqrt{\frac{v}{f}\left(\frac{v}{f}+2 L\right)}$$[/tex]
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is often defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).
(a) Relation among velocity, wavelength and frequency can be defined the expression: v = fλ
From above, we can write, (λ) (wavelength) can be equal to velocity (v) / Frequency (f)
So, λ = v/f
(b) path difference can be determined by using the expression: [tex]\Delta x=x_2-x_1 \\[/tex]
[tex]\Delta x=\sqrt{L^2+x^2}-L\end{aligned}$$[/tex]
So, for the first minimum, we can conclude the following:
[tex]$\left\{n x=\frac{d}{2}=\frac{v}{2 f}\right.$$$\frac{v}{2 f}=\sqrt{L^2+x^2}-L$$[/tex]
[tex]\left(\frac{v}{2 f}+L\right)^2 & =L^2+x^2 \\\\x^2 =\frac{v^2}{4 f^2}+L^2+\frac{v L}{f}-L^2 \\\\x =\sqrt{\frac{v^2}{4 f^2}+\frac{v L}{f}}[/tex]
(c) for first order maxima
[tex]$$\begin{aligned}& \Delta x=\lambda \\& \frac{v}{f}=\sqrt{L^2+x^2}-L\end{aligned}$$[/tex]
[tex]$$\begin{aligned}x^2 & =\frac{v^2}{f^2}+L^2+\frac{2 V L}{f}-L^2 \\x & =\sqrt{\frac{v^2}{f^2}+\frac{2 v L}{f}}\end{aligned}$$[/tex]
So, the position for the first maxima of 2nd speaker will be:
[tex]$$x=\sqrt{\frac{v}{f}\left(\frac{v}{f}+2 L\right)}$$[/tex]
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The missing diagram is attached below: