The size of smallest object that a detect wing is 22°C bat can echolocation when air temperature is 31 mm.
Bat need to use because as high frequencies for echolocation compared to lower frequencies, higher. frequencies gives them more regarding size of the object in speed and frequency the prey direction of its waver are not early detailed information their path, range, pray. Also high detected by the prey.
For care the Jame of bat, dolphin frequency as explained in alio high radiation. Thus despite poor visibility under water, dolphin can high frequency and avoid to catch its wave it Predator. we there to find its path and to catch its prey and also to avoid its peredetor.
Bat sounds are emitted only during wing upbeat to minimize physiological costs. Air pressure in calls is just below blood pressure in lungs physiological maximum. FM is best for determining target distance Measure time delay between pulse and echo return FM sweep labels each part of pulse with a frequency value.
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The hanging mass is referred to as M and it sets the centripetal force.
True
False
Answer:
False
Explanation:
The centripetal force is the force that points towards the center and is responsible for keeping an object in a curved path. This force is provided by the tension in the string, not the mass of the object.
What part of the scientific method tells us the real answer to the problem?
Conclusion part of the scientific method tells us the real answer to the problem.
Analysis and Conclusion ,In this step, the experiment's outcomes are determined using appropriate mathematical and other scientific techniques. The study can be used to determine the best course of action moving forward. The hypothesis is accepted if the evidence from the analysis support it.
The scientific method is a procedure used by scientists to explore, confirm, or create a precise and trustworthy model of any natural phenomenon. They are carried out by developing an objective framework for scientific inquiry, analyzing the findings objectively, and drawing a conclusion that either confirms or disproves the initial observation.
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in some places, hot water from underground can shoot up into the air through a hole in the ground. when this happens, the ground surrounding the water increases in temperature. what happens to the molecules in the ground when the temperature of the ground increases?
The energy of the molecules in the ground increases in the given case when the temperature increases.
Convection and conduction are two ways that the Earth's heat is released.
Conduction takes place when the transferring of heat takes place from something hot to something cold.
On the other hand, convection takes place when the transferring of heat takes place by the movement of hot gases or liquids like water, air, or magma to a cooler region.
Near the surface of the ground, the convection of heat water results in the hot springs and geysers to shoot up into the air through a hole in the ground.
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A baseball player throws a ball giving it a change in momentum of 6. 5
kg. M
over 90 ms.
S
What is the magnitude of the net force on the ball?
A baseball player throws a ball which has a certain change in momentum. The magnitude of the net force on the ball is 72.22 N.
Given that,
Change in momentum Δp = 6.5 kg m/s
Time t = 90 ms = 90 × 10⁻³ s
Change in momentum can be written as,
Δp = m Δv = F×t
As we need net force on the ball,
Δp = F×t
Making F as subject and putting the values we have,
F = Δp/t = 6.5/(90 × 10⁻³) = 72.22 N
Thus, the required net force on the ball is calculated to be 72.22 N.
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A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
53.24 km/hr is the journey's average speed.
What is the SI unit for average speed?Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.
total radius. A scalar quantity, that is. M/s is its unit.
What does Formula 9 for Average Speed mean?The length of the entire path traveled divided by the duration of the motion is the definition of average speed.
Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km
Average trip speed would be 80.5/1.512=53.24 km.
Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.
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What is the relationship between the mass of an object and the amount of thermal energy an object has?
The greater the mass of an object, the more particles there are in the sample and the more thermal energy it possesses at the same temperature. Assume you have some boiling hot water at 100 degrees Celsius to demonstrate this concept.
What is thermal energy and what are some examples?Thermal energy is shown by boiling water on a stove. Thermal energy is created when the atoms and molecules of a material vibrate faster as the temperature rises.
What is an example of a mass?Mass is best defined as the quantity of matter contained in any item or body. Everything in our environment has mass. For example, a table, a chair, your bed, a football, a glass, and even air has mass. That being said, all objects are light or heavy because of their mass.
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The volume of the balloon is
14 000 cm³
The density of the helium in the balloon is 0.180 kg/m³
Calculate the mass of helium in the balloon
1 cm³ = 1 x 10-6 m³
The balloon's helium has a mass of 2.52 KG.
The definition of density.The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.
Simply put, what is density?The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density.
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Two springs have spring constants of 10.0 N/cm and 15.0 N/cm. Which spring is more difficult to stretch
The spring with the higher spring constant (15.0 N/cm) will be more difficult to stretch than the spring with the lower spring constant (10.0 N/cm).
This is because the spring constant is directly related to the amount of force required to stretch the spring. Therefore, the higher the spring constant, the more force that is required to stretch the spring.
The spring constant is a measure of how difficult it is to stretch or compress a spring. It is determined by the stiffness of the spring material, its shape and size, and how much the spring is compressed or stretched.
The higher the spring constant, the more force is required to stretch or compress the spring. The lower the spring constant, the less force is required to stretch or compress the spring.
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A passenger elevator operates at an average speed of 8 m/s. if the 60th floor is 219 m above the first floor,how long does it take the elevator to go from the first floor to the 60th floor?
Answer:
27s
Explanation:
Time = distance/speed
Time = 219/8
Time = 27.375 s
On what interval is the factor by which the office noise is related to the standard threshold of hearing
The interval by which the factor by which the office noise is related to the standard threshold of hearing is (100,000, 10,000,000].
The factor by which the office noise is related to the standard threshold of hearing is given by x = 10^(d/10), where d is the sound intensity in decibels. Since the decibel reading was consistently above 50 but never above 70, we can calculate the range of x using the following:
50 < d <= 70
10^(50/10) < x <= 10^(70/10)
To find the range of x, we need to calculate the 10^(50/10) and 10^(70/10)
10^(50/10) = 10^5 = 100000
10^(70/10) = 10^7 = 10000000
Therefore, the range of x, the factor by which the office noise is related to the standard threshold of hearing is (100,000, 10,000,000].
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Your question is incomplete but most probably the complete question is:
Sound intensity, in decibels, d, can be written using a comparison factor, x, that compares sound intensity to the standard threshold of hearing. d = 10log(x) A sensor measures the sound intensity, in decibels, of an office over time. The decibel reading was consistently above 50, but never above 70. On what interval is the factor by which the office noise is related to the standard threshold of hearing? (17, 18.5) (17, 18.5] (100,000, 10,000,000] (100,000, 10,000,000)
Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar to that of the earth, producing a net electric flux of -3. 63 × 1016 N⋅m2/C at the planet's surface.
a) Calculate the total electric charge on the planet.
b) Calculate the magnitude of the electric field at the planet's surface (refer to the astronomical data inside the back cover).
c) Find the direction of the electric field at the planet's surface.
d) Calculate the charge density on Mars, assuming all the charge is uniformly distributed over the planet's surface
With a net electric flux of -3. 63 1016 N/m2/C at its surface, the planet Mars has an electric field that is somewhat similar to that of the earth. There will be 3.26 x [tex]10^{5}[/tex] of electric charge throughout the entire earth.
Which best sums up Gauss's law?The electric flux across any closed surface is proportional to the net electric charge q enclosed by the surface, according to Gauss's law of electricity, which reads as = q/0, where 0 is the electric permittivity of free space, which has a value of 8.854 10-12 square coulombs per newton per square meter.
How can the angle of a vector in an electric flux be determined?E is the magnitude of the electric field (with units of V/m), S is the area of the surface, and is the angle between the electric field lines and the normal (perpendicular) to S. If the electric field is uniform, the electric flux (E) travelling through a surface of vector area S is: E = ES = EScos.
Calculation:Ф = q/ε
⇒ 3.69 x [tex]10^{16}[/tex] x = q/ 8.85 x [tex]10^{-12}[/tex]
q = 3.26 x [tex]10^{5}[/tex]
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The wheel in the simplified engine of Figure 1 has radius of 0. 250 m and rotates so that the piston oscillates at angular frequency of 12. 0 rad/s. At = 0, the piston is located at =. Calculate the piston’s position, velocity and acceleration at = 1. 15 s.
The piston's position, velocity, and acceleration at t = 1.15 s are :
Position: 3.45 m
Velocity: 3 m/s
Acceleration: 0 m/s^2
To calculate the piston's position, velocity, and acceleration at t = 1.15 s, we need to know the angular position, velocity, and acceleration of the wheel.
The angular position of the wheel at t = 1.15 s is given by
θ = ωt + [tex]A_{0}[/tex]
where ω is the angular frequency, t is the time, and [tex]A_{0}[/tex] is the initial angular position.
Since the angular frequency is given as 12 rad/s and the initial angular position is 0, the angular position of the wheel at t = 1.15 s is
θ = 12 x 1.15 = 13.8 radians
The piston's position is given by
r = Rθ
where R is the radius of the wheel.
Substituting the value of R and θ,
r = 0.25 x 13.8 = 3.45 m
The velocity of the piston is given by
v = r' = Rθ' = Rω
Substituting the values
v = Rω = 0.25 x 12 = 3 m/s
Acceleration of the piston is given by
a = v' = Rθ'' = Rω' = R(ω^2)θ
As the angular frequency is constant, the angular acceleration is 0 so the linear acceleration is also 0.
Note: Linear acceleration is not equal to the derivative of linear velocity, it is equal to the derivative of velocity with respect to time, which is zero in this case.
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What is the tangential speed of a passenger on a Ferris wheel that has a radius of 42 m and rotates once in 25 sec
Where r is the radius, v is the tangential speed, and is the angular speed The tangential speed is 2.1 m/s as a result.
Any object traveling in a circular motion has a linear speed known as tangential velocity. On a turntable, a point in the center moves less distance in a full rotation than a point near the outside edge. Tangential speed and tangential velocity are not the same thing. The amount of tangential velocity, which is generally referred to as velocity, is what you are referring to. Technically, the nomenclature is incorrect, and speed is actually its magnitude whereas tangential velocity comes with the direction, a.The circle's circumference divided by the duration required for one complete spin gives us the tangential velocity: 2*pi*r/t. The relationship between it and angular velocity is also shown by the formula V = w * r, w.To know more about tangential velocity here
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Suppose the particles in the preceding problem have masses The velocities of the particles are (a) Calculate the angular momentum of each particle about the origin. (b) What is the total angular momentum of the four-particle system about the origin?
Part A: The angular momentum of each particle about the origin
The angular momentum of the first particle is -0.4 kg.m²/s.The angular momentum of the second particle is 0.The angular momentum of the third particle is 1.3 kg.m²/s.The fourth particle's angular momentum is 0.Part B: The total angular momentum of the four-particle system is 0.95 kg.m²/s.
The expression used to calculate angular momentum L is:
L = r x mv
Here, r is the position vector of the object m is the mass and v is the velocity vector.
According to the superposition principle, the resultant angular momentum due to many particles is the vector sum of the individual angular momentum.
L = L₁ + L₂ + L₃ + ...
Here, L₁ is the angular momentum of a particle, L₂ is the angular momentum of the particle, and so on.
In the question
Mass of a particle = 5.0 kg
vector r = (2.0i - 3.0j) m
vector v = (3.0i) m/s
Part A (seen in the picture for instruction)
For particle 1
The position vector is 2.0j m
Substitute 0.10 kg from m₁, 2.0j from r, and 2.0i m/s for v₁ in the expression of angular momentum
L = r x mv
L₁ = (2.0jm) x [(0.10 kg)( 2.0i m/s)]
L₁ = -4.0 kg.m²/s
The angular momentum for the first particle is -4.0 kg.m²/s.
For particle 2
Position vector is (2.0i - 2.0j) m
Substitute 0.20 kg from m₂, (2.0i - 2.0j) m from r, and (3.0i - 3.0j)m/s for v₂ in the expression of angular momentum
L₂ = (2.0i - 2.0j) m x [ (0.20 kg) (3.0i - 3.0j) m/s]
L₂ = 0
The angular momentum for the second particle is 0
For particle 3
The position vector is (-3.0i + 1.0j) m.
Substitute 0.30 kg from m₃, (-3.0i + 1.0j) m from r, and -5.0j m/s for v₃ in the expression of angular momentum
L₃ = (-3.0i + 1.0j) m x [((-3.0i + 1.0j) m) ( -5.0j m/s)]
L₃ = 1.35 kg.m²/s
The angular momentum for three particles is 1.35 kg.m²/s.
For particle 4
The position vector is 4.01i m.
Substitute 0.40 kg from m₄, 4.0i m from r, and -4.0i m/s for v₄ in the expression of angular momentum
L₄ = (4.0i m) x [(0.40 kg) (-4.0i m/s)
L₄ = 0
The angular momentum for four particles is 0.
Part B
Formula used: L = L₁ + L₂ + L₃ + L₄
The total angular momentum of the four-particle system is calculated as follows:
By superposition principle
L = L₁ + L₂ + L₃ + L₄
L = -4.0 kg.m²/s + 0 + 1.35 kg.m²/s + 0
L = 0.95 kg.m²/s
Hence, the total angular momentum of the four-particle system is 0.95 kg.m²/s.
Your question is incomplete but most probably your full question was:
Suppose the particles in the preceding problem have masses m₁ =0.10 kg, m₂=0.20 kg, m₃ = 0.30 kg, m₄ = 0.40 kg. The velocities of the particel are v₁= 2.0i m/s,v₂= (3.0i - 3.0j) m/s, v₃= - 1.5j m/s, v₄= -4i m/s.
(a) Calculate the angular momentum of each particle about the origin.
(b) What is the total angular momentum of the four-particle system about the origin?
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A RL circuit is driven by an AC generator as shown in the figure. sin(ot) The voltages across the resistor and generator are ??.
O always out of phase O always in phase sometimes in phase and O sometimes out of phase Submit
Sometimes in phase and sometimes out of phase.The voltage across the resistor and generator will depend on the phase difference between the current and voltage in the circuit.
The voltage across the resistor and generator will depend on the phase difference between the current and voltage in the circuit. If the phase difference is 0°, then the voltage across the resistor and generator will be in phase. If the phase difference is 180°, then the voltage across the resistor and generator will be out of phase. In any other scenario, the voltage across the resistor and generator will be somewhere in between in phase and out of phase.
Sometimes in phase and sometimes out of phase.
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The __________ technique lets you turn the steering wheel as much as a half turn while still keeping both hands on the wheel.
The hand over hand technique lets you turn the steering wheel as much as a half turn while still keeping both hands on the wheel.
Turn the vehicle by lowering the steering wheel in the desired direction (for left turns, pull with your left hand, and vice versa). Relax your other hand and lower the driving wheel. Bring it down to meet your "pulling" hand above your but-tocks, along the wheel. When they come together, let go of the "pulling" hand and let the other to take con-trol.
It is not a good idea to turn off the ignition while the vehicle is in mo-tion, therefore Even though the car has a steering wheel lock, it is not a good idea to switch it off while it is going since it can cause the car to lose con-trol, which can cause problems and accidents.
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How were you able to increase the amount of potential the ball had?
Answer:
The potential energy can be increased by increasing the mass of the object, by varying the distance between the two objects, decreasing the kinetic energy of the molecules, by freezing, by compressing or stretching, and so on.
Explanation:
Hope this helped !
SOMEONE PLS HELP ME ITS DUE TOMORROW
Answer:
1) -5 N, Left
2) 14 N, Up
3) 13, Right
4) 10, Right
5) 22, Down
6) 9, Left
Explanation:
IF: Left or Down, then Negative
1) 15+15=30
Left= 30
Right= 25
30-25=5
30>25
2) 60+10=70
Down= 70
84-70= 14
70<84
3) Left= 62
75-62= 13
What is the largest force that an energy source containing 100 joules can exert continuously over a distance of 25 meters?
The largest force that an energy source containing 100 joules can exert continuously over a distance of 25 meters is 25 Newtons (N).
This means that the energy source can exert a force of 25 N for every 100 joules of energy it contains.
The equation for calculating force is Force = Work/Distance (F = W/D).
So, in this case, Force = 100 Joules/25 Meters = 25 Newtons.
Force is a push or pull exerted on an object. It is measured in units of Newtons (N) and is calculated by dividing the amount of work done by the distance over which the work is done. Force can be used to cause an object to accelerate, change its direction, or change its shape.
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A continuous line of charge lies along the x axis, extending from x = +x0 to positive infinity. The line carries positive charge with a uniform linear charge density λ0. (a) What is the magnitude of the electric field at the origin?(b) What is the direction of the electric field at the origin?
The E = -kλo/xo is the magnitude of the electric field at the origin, negative sign the direction is towards the origin.
What is electric field ?
The force per unit charge imposed on a positive test charge that is at rest at a given position is mathematically defined as the electric field, which is a vector field that can be associated with any point in space.
What is magnitude ?
According to the physics definition, magnitude is just "distance or quantity." It demonstrates how an object moves as it is moving, including whether the movement is absolute, relative, or of a particular size. It serves as a means of describing the size or scope of something. Physicists use the word "magnitude" to indicate size or distance.
a)Lets take an element dx at x distance from origin
Field due to that element of origin; E = k*((λo)dx)/x2 (E = kq/r2)
Integrating from xo to ∞
E =integral( kλo/x2 dx )(xo to ∞)
E = -kλo/xo
b)As we have negative sign the direction is towards the origin
Therefore, E = -kλo/xo is the magnitude of the electric field at the origin, negative sign the direction is towards the origin.
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Why do we calculate torque?
Torque is one of the key ideas to comprehend in order to solve problems with rotational motion. Torque is the tendency of a force to produce or change rotational motion.
Why is torque calculation important?Torque is a measure of an engine's capacity to control a load and generate a certain level of power to turn the engine on its axis. which is an important part of an automobile engine's power-generating process. Per foot (ft) of rotation about a single point, the force is expressed in pounds (lb).
Why does the torque exist?The force that can cause an object to revolve around an axis is measured in torque. In linear kinematics, force causes an item to accelerate, and torque causes an object to produces the angular acceleration of an object. A vector quantity is a torque.
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The crest of one wave of amplitude 1 meter intersects the crest of another wave of amplitude 3 meter. What is the resultant amplitude
A wave crest is the tallest point in the wave with the greatest displacement value. The junction of the 3-meter and 2-meter waves produces a 1 metre amplitude.
What exactly is amplitude ?
The amplitude of a wave is the measurement of the wave from its still position to its crest or trough. It is measured in metres.
When the wave is crossed, the elevation is 3 metres and the depression is 2 metres, resulting in an amplitude that causes destructive interference. Because 3 m is above the baseline and 2 m is below it, the resultant amplitude is 3 - 2 = 1 m.
As a consequence, the resultant amplitude is one metre.
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Select the correct answer. A boy is pushing a chair by applying a force of 5 newtons. His mother helps him push it faster by applying an additional force of 7 newtons in the same direction. What is the net force acting on the chair
Answer:
The net force is now 12
Explanation:
The boy is applying a force of 5 newtons + his mother is helping him to apply 7 newtons = 12 newtons.
You can just say if its A B C or D.
Thank you!
ide over the
When she returned, the substance had changed phase, and the substance was in the liquid phase. What
Happened to the molecules of this substance?
a
b
d
Before the mechanic left, the molecules were moving away from each other. When she returned, they were
moving around each other.
Before the mechanic left, the molecules were moving around each other. When she returned, they were
moving in place.
Before the mechanic left, the molecules were moving around each other. When she returned, they were
moving away from each other.
Before the mechanic left, the molecules were moving in place. When she returned, they were moving around
each other.
croll for more
The correct answer is D) Before the mechanic left, the molecules were moving in place. When she returned, they were moving around each other. The change in phase from solid to liquid is due to a change in the motion of molecules.
What is molecules?Molecules are formed when two or more atoms come together and form a chemical bond. Molecules exist in all forms of matter and are the building blocks of all living organisms. Molecules can range in size from the very small, such as hydrogen, to the very large, such as proteins. Generally, molecules are composed of two or more atoms of the same element or different elements that are held together by chemical bonds. Molecules can also be composed of multiple subatomic particles, such as protons and neutrons, which form the nucleus of an atom. Molecules may also contain electrons, which are held in orbit around the nucleus by electrostatic forces. Molecules can have different shapes depending on the arrangement of their constituent atoms. Molecules are essential to all forms of life, as they are responsible for many of the physical and chemical processes that take place in living organisms.
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is often caused by improper loading, not only in terms of the load impedance itself, but in terms of how much capacitive or inductive reactance is part of that impedance.
Resistance and impedance (in AC circuits) are one such pair of synonyms (DC circuits). Technically speaking, they both stand in the way of current flow, but factor ability of impedance also takes resistance into account.
Obviously all, reactance and inductance are also included in this (capacitors).
Impedance, which results from the interaction of reactance and ohmic resistance, is the active resistance to AC of an electric circuit or component. We also describe it as any restriction of an electric current's ability to move energy when voltage is applied.
The more precise meaning is the overall resistance a circuit of electricity provides to an AC current flowing at a single frequency. In conclusion, we measure reactance and resistance in ohms, and we denote this measurement with the sign Z.
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CANT DO IT
i neeeed herlp For numbers 14a-14d, tell which expressions require you to rename mixed numbers before you can subtract.
14a. LaTeX: 5\frac{2}{5}-2\frac{1}{4}5 2 5 − 2 1 4
[ Select ]
14b. LaTeX: 5\:-\:2\frac{7}{8}5 − 2 7 8
[ Select ]
14c. LaTeX: 7\frac{2}{3}\:\:-\:6\frac{1}{8}7 2 3 − 6 1 8
[ Select ]
14d. LaTeX: 9\frac{1}{6}-5\frac{2}{3}9 1 6 − 5 2 3
[ Select ]
14 a, 14 b, 14 c, and 14 d are the Expressions that require renaming mixed numbers before we can subtract.
Actually, there are a few steps to convert normal fractions into a mixed fractions. The steps are as follows:
firstly, we have to find the whole number to do this we divide the numerator by the denominator. secondly, Get the new numerator: To get a new number we should calculate in step one and multiply it by the original denominator. The result of that multiplication is then subtracted from the original numerator.After that Our mixed fraction, we need to put the whole number together with our new numerator and original denominator.finally, Simplifying our fraction.Solving one by one with the help of the given options:
1) 14a
[tex]5\frac{2}{5}-2\frac{1}{4} \\\\\frac{17}{5} -\frac{9}{4} \\\\\frac{68-45}{20}\\\\ \frac{23}{20} =1\frac{3}{20}[/tex]
2)14b
[tex]5-2\frac{7}{8} \\\\\frac{5}{1} -\frac{7}{8} \\\\\\\frac{40-23}{8}\\\\ \frac{17}{8} =2\frac{1}{8}[/tex]
3)14c
[tex]7\frac{2}{3} -6\frac{1}{8} \\\\\frac{23}{3} -\frac{49}{8} \\\\\frac{184-147}{8} \\\\\frac{37}{24} =1\frac{13}{24}[/tex]
4)14d
[tex]9\frac{1}{6} -5\frac{2}{3}\\\\ \frac{55}{6}-\frac{17}{3}\\\\ \frac{165-102}{18} \\\\\frac{63}{18}=3\frac{9}{18}[/tex]
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What is the velocity of a rocket that goes 700 km north in 25 seconds, and then travels another 700km south in 25seconds?
The rocket's velocity that goes 700 km north in 25 seconds, then travels another 700km south in 25 seconds is 28,000 m/s.
Given,
Distance = 700km, which is 700 * 103m, and Time = 25 seconds.Velocity is known to be equal to displacement times time.Rocket's velocity is 700*103/25, or 28*103 m/s.As a result, the speed is 28,000 m/s.The orbital velocity, which is 7.9 km/s and more than 20 times the speed of sound, is measured in this manner.V equals u ln (m I m). The rocket equation is the name of this outcome. Konstantin Tsiolkovsky, a Soviet physicist, developed it first in 1897. It provides us with the change in velocity that the rocket experiences as a result of burning a mass of fuel that reduces the total mass of the rocket from m0 to m.To know more about Velocity here
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The length of nylon rope from which a mountain climber is suspended has a force constant of 1.2×104 N/m.
a. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg?
b. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack?
c. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg if the rope is twice as long?
d. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack if he rope was twice the length?
The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.
What is the force constant measured in?Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).
What is a graph's force constant?The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.
Calculation:Maximum speed is at equilibrium where:
F = kx ⇒x =F/k
Now, F x=1/2mv²+1/2kx²
Solving we get,
V=F/√mk=Vmax
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An object with mass of 50kg moves with
velocity of 11. 2m/s and an event occur
whereby it transfers 1539 of energy to
another objects as work.
What is the new
velocity of the object after the event??
The new velocity of the object after the event is 7.99m/s.
We are given that,
Mass = m = 50kg
Initial velocity = v = 11.2m/s
Energy = E = 1539j
The kinetic energy of object can be calculated as,
K= (1/2)mv²
K = (50×125.44)/2
K = 3136J
Consequently, since both the initial kinetic energy and the total amount of energy transferred are known. The article's resulting energy is easily discernible.
Final energy = initial kinetic energy - the ending energy
Final energy = 3136-1539= 1597 joules
Therefore, using the equation for kinetic energy derivation, the speed of the object can now be determined.
K.E = 1/2MV²
1597 = 50/2V²
3194 = 50V²
V = 7.99m/s
Therefore , the new velocity of the object after the event would be 7.99m/s.
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