In a lab experiment, one end of a horizontal string is tied to a support while the other end passes over a frictionless pulley and is tied to a 1.5 kg sphere. Students determine the frequencies of standing waves on the horizontal segment of the string, then the y raise a beaker of water until hanging 1.5 kg sphere is completely submerged. The frequency of the fifth harmonic with the sphere submerged exactly matches the frequency of the third harmonic before the sphere was submerged. What is the diameter of the sphere?
Answers
We are given a horizontal string tied to a support at one end while the other end passes over a frictionless pulley and is tied to a 1.5 kg sphere.
The frequency of the fifth harmonic with the sphere submerged exactly matches the frequency of the third harmonic before the sphere was submerged. We have to find the diameter of the sphere.The wave speed v is given as:v = fλ ----- (1)where f is the frequency of standing waves and λ is the wavelength of the standing wave.
On changing the medium, the wave speed v changes. However, the frequency f of the standing wave remains the same, while the wavelength λ changes.When the sphere was suspended in the air:In this case, the frequency f is such that for the third harmonic λ3 fits in the length L of the string twice, i.e.,λ3 = 2L/3 ---------------- (2)Also, the frequency f is such that for the fifth harmonic λ5 fits in the length L of the string four times, i.e.,λ5 = 4L/5 ---------------- (3)Equating (1) for both the cases we get:f λ3 = v ---------------- (4)and f λ5 = v ---------------- (5)As the frequency f is common to both cases, we can equate (4) and (5) to get:λ3 / λ5 = 4 / 5 ---------------- (6)Substituting (2) and (3) in (6) we get:2L/3 / 4L/5 = 4 / 5Or, L = 5/2×2×3 = 5/12 mNow, when the sphere is completely submerged in the water:In this case, the frequency f is such that for the fifth harmonic λ'5 fits in the length L' of the string four times, i.e.,λ'5 = 4L'/5 ---------------- (7)Equating (1) for both the cases we get:f λ3 = v ---------------- (8)and f λ'5 = v' ---------------- (9)As the frequency f is common to both cases, we can equate (8) and (9) to get:λ3 / λ'5 = v / v' ---------------- (10)We know that the wave speed in water is less than the wave speed in air. Therefore, v' < v. From (10) we can conclude that:λ3 > λ'5 ---------------- (11)Substituting (2) and (7) in (11) we get:2L/3 > 4L'/5Or, L' < 5/6LNow, let d be the diameter of the sphere. In water, the sphere would displace its own volume of water. Let V be the volume of the sphere. Then, the volume of water displaced by the sphere is also V. Let ρ be the density of water. Then, the mass of water displaced by the sphere is m = ρV.The mass of the sphere in air is 1.5 kg. When the sphere is submerged in the water, it would experience a buoyant force equal to the weight of the water displaced by it. Therefore, the effective weight of the sphere in water is:(1.5 - ρV) g kgWhere g is the acceleration due to gravity.Substituting L' < 5/6L in (5) we get:λ'5 = 4L'/5 = 4/5 × 5/6L = 2/3LNow, substituting v' = λ'5 f in (9) we get:v' = λ'5 f = 2/3L × f ---------------- (12)Also, the effective weight of the sphere in water is given as:(1.5 - ρV) g kg.Substituting in (4) for the case when the sphere was suspended in air and in (12) for the case when the sphere was completely submerged in the water, and equating the two, we get:(1.5 - ρV) g × λ3 / v = (1.5 - ρV) g × λ'5 / v'Or, λ3 / λ'5 = v / v' ---------------- (13)From (11) and (13) we get:v / v' > 1 ---------------- (14)Substituting the values we get,5/12 / 2/3L = 4/5L' / 2/3L'Or, 5/12 = 4/5 × 2/3L'/L = 8/15L'/LTherefore, L' = 5/6LNow, the volume V of the sphere is given by:V = (4/3) π (d/2)³Substituting this value of V in (3) we get:1.5 - ρ(4/3) π (d/2)³ g = 0.5ρL²gOr, (4/3) π (d/2)³ = (1.5/ρg) - (0.5/ρg)L²Now, substituting L = 5/12 m and L' = 5/6L = 5/6 × 5/12 m = 5/72 m in the above equation we get:(4/3) π (d/2)³ = 0.05 - 1.5625×10⁻⁴Or, (d/2)³ = 1.7976×10⁻⁵Or, d = 2(1.7976×10⁻⁵)¹/³ = 0.1 m = 10 cmTherefore, the diameter of the sphere is 10 cm.
To know more about that frictionless visit:
https://brainly.com/question/31951502
#SPJ11
Related Questions
Lead pellets, each of mass 1.10 g, are heated to 200°C. How many pellets must be added to 536 g of water that is initially at 20.0°C to make the equilibrium temperature 25.0°C? Neglect any energy transfer to or from the container.
Answers
The number of lead pellets to be added to the water to achieve the given equilibrium temperature is 451.54.
The given parameters;
mass of each lead pellets, m = 1.10 gtemperature of the lead, = 200 °Cmass of water, = 536 gtemperature of the water, = 25 °Cspecific heat capacity of water = 4.184 J/g°Cspecific heat capacity of lead, = 0.129 J/g°CApply the principle of conservation of energy to determine the number of lead pellets to be added to given water to achieve the given equilibrium temperature.
Heat lost the lead = Heat absorbed by the water
\(m_lC_{l} \Delta t_l = m_wC_{w} \Delta t_w\\\\(n\times m)C_{l} \Delta t_l = m_wC_{w} \Delta t_w\\\\n(1.1)(0.129)(200 - 25) = (536)(4.184)(25-20)\\\\24.833n = 11,213.12\\\\n = \frac{11,213.12}{24.833} \\\\n = 451.54 \\)
Thus, the number of lead pellets to be added to the water to achieve the given equilibrium temperature is 451.54.
Learn more here:https://brainly.com/question/24140439
Which of these values is the lowest temperature?A. 32°FB.270 KC.0° ĊD. 273K
Answers
The required lowest temperature among the given options will be 270 K. Correct option is B.
In the given problem, the values are given in different systems of temperature measurement. To determine that which one is smaller, first let us convert them into Celsius, so that all the units are in one system.
The relation between Fahrenheit and Celsius is,
Temperature in celsius = 5/9(temperature in Fahrenheit - 32)
Temperature in celsius = 5/9(32 - 32) = 0 Celsius
The relation between Kelvin and Celsius is given as,
Temperature in Celsius = Temperature in Kelvin - 273.15
Temperature in Celsius = 270 - 273.15 = -3.15 Celsius
273 K will be equal to 0 Celsius using above relation.
Hence, all the values are equal to zero except 270 K which is negative, hence it is the coldest. Best choice is B.
To know more about temperature:
https://brainly.com/question/25677592
#SPJ4
True or False: Objects fall at a constant speed.
Answers
Answer:
Explanation:
true
Why is water pollution a concern if water is continuously cycled through Earth’s systems?
EARTH SCIENCE!!!
Answers
Answer:Water pollution is a concern because since it is cycled threw the earths system it effect the earths system in a negative way.
Explanation:
I would wait for someone else to answer just in case I’m wrong.
Tiny mass of 67kg and tubby mass of 83 kg are now on the opposite ends of a see saw and are both 1.4m from the balance point where should their sister teeny whose mass is 32 kg sit so the see saw balances
Answers
Answer:
0.7 m between the balance point and Tiny
Explanation:
It's intuitive to say she sould be on the side the smaller mass is placed. How far from the balance point?
Let's call x that distance. and assume that the contraption is "oriented" so that being on the side with tiny (and teeny) gives you a positive distance from the balance point, and negative on the other side.
At equilibrium, the sum of all momentums (momenta?) will be zero:
\(67\times 1.4 +32\times x + 83 \times (-1.4) = 0\\32x -16(1.4) = 0 \rightarrow 2x=1.4 x= 0.7\)
In layman's term, she has to be halfway between the balance point and Tiny.
A musical note has a frequency of 512 Hz. If the wavelength of the note is 0.685 m, what is the speed of the sound of that note?
Answers
Answer:
350.72 m/s
Explanation:
Formula for velocity of wave is;
v = fλ
Where;
v is speed
f is frequency
λ is wavelength
We are given;
f = 512 Hz
λ = 0.685 m
Thus;
v = 512 × 0.685
v = 350.72 m/s
How dose a scientific theory differ from a hypothesis?
Answers
Answer:This is the Difference Between a Hypothesis and a Theory. ... In scientific reasoning, a hypothesis is an assumption made before any research has been completed for the sake of testing. A theory on the other hand is a principle set to explain phenomena already supported by data.
Explanation:
9 Two wells are located at points A and B respectively. Point C is the middle point between A and B. When water is pumped out from Well A only, the drawdown at C is 7 in. if water is pumped out from well A whle water is poured in from well B at the same rate, what is the drawdown(ft) at point C?
Answers
Answer:
0
Explanation:
When water is pumped out of well A, it causes a drop of 7 inches at point C; if water is pumped from well B into well A (at the same rate the water is pumped out of well A), then it will give a rise of 7 inches at well C. Therefore the net drawdown at well C is:
S = 7-7 = 0
Figure 4 shows balls 1 and 2 before and after a collision.
Ball 1 initially travels with a velocity of u m/s. Ball 2 is stationary and has a mass of 0.2 kg.
Ball 1 collides with ball 2 and this collision lasts for 0.1 s. Afterwards, both balls move in
the direction of ball 1's initial velocity. Each ball has a different final velocity.
During the collision, a force of -6N is exerted on ball 1 by ball 2
Calculate the velocity of ball 2 after the collision
Answers
According to the question, the velocity of ball 2 after the collision is 30 m/s.
What is velocity?
Velocity is a vector quantity that describes the rate and direction of an object's motion. It is the displacement of an object over a period of time and is usually expressed in terms of distance (meters, feet, or kilometers) divided by time (seconds). It can also be expressed as the speed of an object in a particular direction. Velocity is a key factor in describing the motion of objects, as it accounts for both the speed and direction of an object's motion. It is an important concept in physics, and it is used to calculate forces and potential energy.
From the laws of conservation of momentum, the final velocity of ball 2 can be calculated as follows:
m1u + m2v = m1v1 + m2v2
0.2 x u + 0.2 x v = 0.2 x u + 0.2 x v2
v2 = u - (6N x 0.1s)/0.2kg
v2 = u - 30 m/s
Therefore, the velocity of ball 2 after the collision is 30 m/s.
To learn more about velocity
https://brainly.com/question/80295
#SPJ1
The question I want you to complete is the one in the middle number 3 please
Answers
Answer:
I = 50 A
Explanation:
The magnetic field created by a wire with a current can be calculated as:
\(B=\frac{\mu I}{2\pi r}\)Where μ is a constant equal to 4π x 10^(-7) T m/A, I is current, and r is the distance from the wire. So, replacing the values, we get:
\(0.005=\frac{4\pi\times10^{-7}}{2\pi(0.002)}I\)Then, solving for I, we get:
\(\begin{gathered} 0.005=0.0001I \\ \frac{0.005}{0.0001}=\frac{0.0001I}{0.0001} \\ 50A=I \end{gathered}\)Therefore, the current that is traveling through the wire is 50 A.
On the other hand, if the current is moving upward, the direction of the magnetic field can be found by the rule of the right hand, so the magnetic field will have the following direction:
You have a modern vehicle with a good brake and tires. A child runs onto the road 40m ahead of you while you are traveling in a 55km/h zone. You brake hard. Will you stop in time?
Speed (km/h) Speed (m/s) Braking Distance Ferrari550 Maranello Lexus LS400 Mercedes C36 Nissan 200SX Toyota Corolla
0 0 0 0 0 0 0
10 2.8 0.4 0.6 0.4 0.5 0.7
20 5.6 1.7 2.2 1.8 1.9 2.8
30 8.3 3.7 5 4 4.3 6.2
40 11.1 6.6 8.9 7.1 7.6 11
50 13.9 10.4 14 11.1 11.9 17.2
60 16.7 14.9 20.1 16 17.2 24.8
70 19.4 20.3 27.4 21.8 23.4 33.8
80 22.2 26.5 35.8 28.4 30.6 44.1
90 25 33.6 45.3 36 38.7 55.8
100 27.8 41.5 55.9 44.4 47.8 68.9
110 30.6 50.2 67.7 53.8 57.8 83.4
120 33.3 59.7 80.5 64 68.8 99.2
A) Find a mathematical model/formula to answer the question. What assumptions do you make to create a mathematical model?
B) What are limitations of your model? What are the factors you did not consider for your model?
Answers
The deceleration for a car traveling at 55 km/h can be interpolated to be 7.06 m/s².
A) To find whether the car will stop in time or not, we have to use the below formula:Where,
t = time taken to stop
v = initial velocity
u = final velocity
a = deceleration distance = vt + 0.5at²
We can use the above formula and find the distance covered by the car before stopping.
If the distance covered by the car is less than 40 m, then the car will stop in time and the child will be saved. If the distance is greater than or equal to 40 m, then the car will not be able to stop in time and the child will be hit.
For a car traveling at 55 km/h, the speed is 15.28 m/s. The deceleration values for different cars can be found from the table below:Speed (m/s) Braking Distance Toyota Corolla
(m) Nissan 200SX
(m) Mercedes C36
(m) Ferrari550 Maranello
(m) Lexus LS400
(m)60 14.9 17.2 20.1 24.8 16.070 20.3 23.4 27.4 33.8 21.880 26.5 30.6 35.8 44.1 28.490 33.6 38.7 45.3 55.8 36.0100 41.5 47.8 55.9 68.9 44.4110 50.2 57.8 67.7 83.4 53.8120 59.7 68.8 80.5 99.2 64.0
Therefore, Interpolation shows that the deceleration for an automobile moving at 55 km/h is 7.06 m/s2. .
Using the formula for deceleration with initial velocity of 15.28 m/s, we get the distance covered by the car before stopping to be:distance = (15.28)² / 2 * 7.06 = 19.68 m
As the distance covered by the car is less than 40 m, the car will stop in time.
B) The limitations of this model are:This model assumes that the car is traveling on a flat surface and the road conditions are good.
The model does not take into account the reaction time of the driver and assumes that the driver reacts immediately to the child running onto the road.
The model does not take into account the age of the vehicle, the weight of the vehicle, the condition of the brakes and tires, and other factors that may affect the braking distance of the car.
learn more about deceleration from given link
https://brainly.com/question/75351
#SPJ11
Which two quantities can be used to describe motion?
Answers
Answer:
A
Explanation:
A P E X
Displacement and velocity are the two quantities that can be used to describe motion. Hence, option (A) is correct.
What are displacement and velocity?The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
The rate at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction.
Since it is a vector quantity, the definition of velocity requires both magnitude and direction. A body is considered to be accelerating if its velocity changes, either in magnitude or direction.
Hence, motion of any object can be fully explained by displacement and velocity.
Learn more about velocity here:
https://brainly.com/question/18084516
#SPJ6
There are 30 students in Ms. Andrews’ fourth grade class. There are 6 times as many students in the entire fourth grade as there are in Ms. Andrew’s class. Which equation can be used to determine the number of students, n, in the entire fourth grade? *
6 x n = 30
6 + 30 = n
30 x 6 = n
30 ÷ n = 6
Answers
Answer:
30×6=n
Explanation:
30 students in her class× 6 = number of students in the entire 4th grade.
DESPERATE WILL GIVE BRAINLIST
How long does it usually take for a rock to undergo a stage within the rock cycle?
A. a few days
B. from 300 to 400 years
C. about one thousand years
D. thousands to millions of years
Answers
Answer: D. thousands to millions of years
Explanation: Stages within a rock's cycle cannot happen quickly. The formation and deterioration can take thousands to millions of years to occur.
I hope this helps!
Good luck <3
comparing the speed of sound in liquids gases and solids
Answers
The speed of sound follows the order: solids > liquids > gases due to differences in particle arrangement and density within each medium.
Depending on the medium it passes through, sound travels at varying speeds. In general, sound travels more quickly through solids, next through liquids, and last through gases. This is because solids' tightly packed particles make it possible for sound waves to efficiently pass through the material's thick structure. As a result of the less tightly packed particles in liquids compared to solids, sound waves move through them more slowly. In comparison to both solids and liquids, gases have the least dense arrangement of particles, which causes their sound speed to be slower. The density and elasticity of the medium, among other things, affect the particular speed of sound in each material.
Learn more about the speed of sound
https://brainly.com/question/32259336
The question is -
What is the order of the speed of sound in liquids, gases, and solids from highest to lowest?
The speed of sound is fastest in solids, followed by liquids, and then gases.
The speed of sound refers to how quickly sound waves travel through a medium. It varies depending on the state of matter of the medium. In general, sound travels fastest through solids, followed by liquids, and then gases.
When sound waves pass through a solid, such as a metal rod, the particles in the solid are closely packed together. This allows the sound waves to propagate more efficiently, resulting in a higher speed of sound. For example, in steel, the speed of sound is approximately 5,960 meters per second.
In liquids, the particles are still relatively close together, but not as tightly packed as in solids. This leads to a slower speed of sound compared to solids. For instance, in water, the speed of sound is about 1,482 meters per second.
Gases have particles that are much more spread out, resulting in a slower speed of sound. The speed of sound in gases is influenced by factors such as temperature and composition. For example, at room temperature, the speed of sound in air is approximately 343 meters per second.
It is important to note that the speed of sound can vary within each state of matter depending on factors like temperature and density. However, the general trend is that sound travels fastest through solids, followed by liquids, and then gases.
Learn more:About speed of sound here:
https://brainly.com/question/15381147
#SPJ11
The magnitude (length) of the computed gradient vector will still be correct. (T or F)
Answers
The magnitude (length) of the computed gradient vector will still be correct, the given statement is true because it taking the square root of the sum of squares of its partial derivatives.
Gradient is a vector that contains all the partial derivatives of a multivariable function, the magnitude of the gradient vector provides information about the rate and direction of maximum change. The calculation of the gradient vector is an essential part of multivariable calculus and optimization. The magnitude of the gradient vector is computed by taking the square root of the sum of squares of its partial derivatives, this calculation is independent of the coordinate system used.
The partial derivatives will change when we change the coordinate system, but the magnitude of the gradient vector will remain the same. The reason for this is that the partial derivatives are normalized using the metric tensor, which is a coordinate-independent quantity. Therefore, even though the partial derivatives may change when we change the coordinate system, the normalization factor provided by the metric tensor ensures that the magnitude of the gradient vector remains the same.
Learn more about metric tensor at:
https://brainly.com/question/33263490
#SPJ11
The Voyager 1 space probe was launched by NASA in 1977. It's now the most distant spacecraft from Earth, as it hurtles into space at over 60,000 km/h. It has run out of fuel, so it can't change its own motion.
One of your friends says, "If Voyager 1 doesn't collide with anything and is too far from anything to be affected by gravity, it will gradually slow down and stop."
I have to either agree or disagree with my friend, then i have to explain.
Answers
The statement, "The Voyager 1 space probe can't change its own motion" is correct and true. The Voyager 1 space probe was launched by NASA in 1977, and since then it has traveled over 14 billion miles away from Earth. It's the most distant spacecraft from Earth.
The Voyager 1 was designed to study the outer solar system and it sent valuable data back to Earth. But, now it has run out of fuel and cannot change its own motion as the thrusters that are responsible for keeping the spacecraft’s antenna pointed toward Earth have to be continuously fired to compensate for the small natural imbalances in its motion. Therefore, the statement is correct that Voyager 1 cannot change its own motion. It is still continuing its journey into space at a speed of over 60,000 km/h and is expected to keep traveling until it reaches other stars and the next galaxy beyond our Milky Way. So, I agree with the statement that the Voyager 1 space probe can't change its own motion.For such more question on motion
https://brainly.com/question/26083484
#SPJ8
hello pls help me find the answer ASAP
Answers
Answer:
I don't know dear you can ask from others
Video Tutor: Bulbs Connected in Series and in Parallel 4 of 23 > Part A Consider the power dissipated by the two circuits in the video. The ratio of power dissipation in the parallel circuit to that in the series circuit is
Answers
The ratio of power dissipation in the parallel circuit to that in the series circuit depends on the specific values of resistance (or impedance) in each circuit.
In general, for a given voltage source, the power dissipated in a circuit can be calculated using the formula P = V^2/R, where P is power, V is voltage, and R is resistance.
In a parallel circuit, the total resistance decreases as more branches are added. Therefore, the power dissipated in the parallel circuit is typically higher than that in the series circuit. This is because the lower total resistance in the parallel circuit allows for a higher current flow, resulting in increased power dissipation.
However, without specific resistance values for the bulbs or other components in the circuits shown in the video, we cannot determine the exact ratio of power dissipation between the parallel and series circuits.
To learn more about parallel circuit, Click here: brainly.com/question/26589211
#SPJ11
whats the difference between transverse and longitudinal waves?
Answers
Answer:
longitudianl particles are dispelled parrell
Explanation:
transverse perpendicular
Why would you be surprised if hockey puck started moving without being hit? Why would you be surprised if a fast moving
puck suddenly stopped in the middle of the ice without being touched?
Please use scientific explanations.
Answers
Answer:
id be scared because this thing is moving by its self at an alarming rate
Explanation:
A sample of gold (d = 19.32 g/cm^3) has a mass of 1.25 kg. what is the correct setup to calculate its volume (v) in liters?
Answers
Taking into account the definition of density, the volume of the sample of gold is 0.0646998 L.
Definition of densityDensity is defined as the property that allows us to measure the amount of mass in a certain volume of a substance.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
Volume in this caseIn this case, you know that:
Density= 19.32 g/cm³Mass= 1.25 kg= 1250 gVolume= ?Replacing in the definition of density:
19.32 g/cm³= 1250 g÷ volume
Solving:
19.32 g/cm³× volume= 1250 g
volume= 1250 g÷ 19.32 g/cm³
volume= 64.6998 cm³= 0.0646998 L (1 cm³= 0.001 L)
In summary, the volume of the sample of gold is 0.0646998 L.
Learn more about density:
brainly.com/question/952755
brainly.com/question/1462554
#SPJ1
a
matter and energy
b
numbers
production, distribution, and consumption of goods
d
speech and language
Answers
Answer:
i think it might be D or C
Someone please help me!!!
Answers
Answer:
i don’t understand
Explanation:
Answer:
There's no question-
What happens more on Earth, physical or chemical changes?
Answers
Chemical changes happens more on earth because, every living as well as non living things are under going some chemical changes day to day.
What are chemical changes ?Chemical changes involves the formation or breaking of chemical bonds that leads to a new product. Whereas, physical changes does not involves any change in chemical bonds. Phase change, change in size, shape etc. are physical changes.
For example rusting of iron is the formation of red iron oxide by the reaction of iron with oxygen from air or water. This oxide will spread over the surface of the metal and eventually gets corroded. This is a chemical change where a new product is formed.
The photosynthesis, and all biological process taking place every day in all living things are chemical changes. Similarly, non-living things as well undergoing similar changes by their reactivity towards air, water etc.
Find more on physical changes:
brainly.com/question/17931044
#SPJ1
Physical changes happens more on earth.
What are physical and chemical changes?Physical changes are reversible and do not produce a new substance. Chemical changes result in the production of a new substance and cannot be reversed.
Given terms,
Physical and Chemical changes on earth on Earth,
Earth has about 71 percent on the Earth's surface, and the oceans hold about 96.5 percent of all Earth's water.
which undergoes through physical change during whole water cycle,
Hence, On earth physical changes happen more.
Learn more about physical and chemical changes here:
https://brainly.com/question/13090821
#SPJ1
Sir Isaac Newton was among the first to observe the movement of objects and express those observations as laws. According to Newton's law of inertia, a body
a. in variable motion will remain in motion unless its state of matter changes.
b. with no kinetic energy will remain along a path with a constant radius.
c. with a variable potential energy will remain with a constant, nonzero acceleration.
d. in uniform motion will remain in motion unless it is acted upon by an outside force
Answers
Answer:
it's D
Explanation:
Newton's first law of motion states that a body at rest remains at rest or if in motion remains in motion at a constant velocity unless acted upon by a external Force
The correct option is D. In uniform motion will remain in motion unless it is acted upon by an outside force .
What is newton s law ?Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace. An object's acceleration is determined by its mass and the force being applied.
Every time one object applies force to another, the other object applies an equal and opposite force to the first.
According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion in a straight line. Inertia is the propensity to resist changes in a condition of motion.
Therefore, The correct option is D. In uniform motion will remain in motion unless it is acted upon by an outside force .
To learn more newtons law, refer to the link:
https://brainly.com/question/15280051
#SPJ2
the student measures the length of half a wavelength using a ruler. describe how she could use this measurement and information from the signal generator to calculate the speed of the wave on the string
Answers
Answer:
read section b :)
Explanation:
To measure the speed of the wave on the string, the wavelength, and frequency are required. So by calculating the wavelength, the speed can be calculated.
What is wavelength?The distance between two adjacent crests can be used to calculate a transverse wave's wavelength. The distance between two adjacent compressions can be used to calculate the wavelength of a longitudinal wave.
The wave speed can be determined using this equation if the wavelength and frequency are known. The quantity of waves that move in a wave's frequency is measured in waves per second.
Speed = Wavelength x Frequency).
Therefore, the wavelength and frequency of the wave on the string must be determined in order to calculate its speed. Consequently, the speed can be estimated by determining the wavelength.
To learn more about wavelength, refer to the link:
https://brainly.com/question/13533093
#SPJ2
Conider a particle whir ling about a circular path of radiu 44m with a tangential velocity of magnitude 24m/ find the magnitude of the angular velocity ?
Answers
The magnitude of the angular velocity of a particle whirling about a circular path of radius 44m with a tangential velocity of magnitude 24 m / s is 0.55 rad / s
v = r ω
v = Tangential velocity
r = Radius
ω = Angular velocity
r = 44 m
v = 24 m / s
ω = v / r
ω = 24 / 44
ω = 0.55 rad / s
Tangential velocity is also known as linear velocity. So the linear velocity value multiplied by the radius of the curve gives the value of angular velocity which is represented using the unit rad / s.
Therefore, the magnitude of the angular velocity is 0.55 rad / s
To know more about angular velocity
https://brainly.com/question/13649539
#SPJ4
An object is accelerating at -6.2 m/s? It comes to a stop after 2.0 seconds. What was its initial velocity?
A. -2.7 m/s
B. 2.7 m/s
C. 12.4 m/s
D. -12.4 m/s
NEED ASAP.
WILL GIVE BRAINLIEST.
Answers
Answer:
C. 12.4 m/s
Explanation:
Acceleration (a) = -6.2 m/s²
Final velocity (v) = 0 m/s (Comes to rest)
Time taken (t) = 2.0 s
By using equation of motion, we get:
\( \bf \longrightarrow v = u + at \\ \\ \rm \longrightarrow 0 = u + ( - 6.2)(2.0) \\ \\ \rm \longrightarrow 0 = u - 12.4 \\ \\ \rm \longrightarrow u - 12.4 = 0 \\ \\ \rm \longrightarrow u + 12.4 - 12.4 = 0 + 12.4 \\ \\ \rm \longrightarrow u = 12.4 \: m {s}^{ - 1} \)
\( \therefore \) Initial velocity (u) = 12.4 m/s
WILL GIVE BRAINLIEST
Lila is a track and field athlete. She has to complete four laps around the track, which is 400 meters. The race took her 6 minutes to complete. What is her average speed to the first decimal point in m/s?
Answers
Answer:
4.44m/s
Explanation:
Given parameters:
Number of laps = 4
Length of track = 400m
Time taken = 6min
Unknown:
Average speed = ?
Solution:
The average speed is the total distance covered divided by the time taken.
It is mathematically expressed as;
Average speed = \(\frac{total distance}{time taken}\)
Total distance = number of laps x length of track = 4 x 400 = 1600m
Now convert the time to seconds;
60s = 1 min
6 minutes will be 6 x 60 = 360s
So;
Average speed = \(\frac{1600}{360}\) = 4.44m/s