What is the force constant, in newtons per meter, needed to produce a period of 0.45 s for a 0.016-kg mass on the spring?

Answers

Answer 1

To calculate the force constant (k) required to produce a specific period for a mass-spring system, we can use the formula for the period of a mass-spring oscillator:

T = 2π√(m/k)

Where:

T = Period of oscillation

m = Mass attached to the spring

k = Force constant (also known as spring constant)

Given:

Period (T) = 0.45 s

Mass (m) = 0.016 kg

Rearranging the formula, we can solve for the force constant (k):

k = (4π²m) / T²

Substituting the given values into the formula:

k = (4π² * 0.016) / (0.45)²

k = (4 * 3.1416² * 0.016) / (0.45)²

k ≈ 56.59 N/m

Therefore, the force constant required to produce a period of 0.45 s for a 0.016-kg mass on the spring is approximately 56.59 N/m.

To learn more about mass-spring follow:

https://brainly.com/question/19425414

#SPJ11


Related Questions

You drive a bumper car into another bumper car whose driver has a much larger body mass than you do. Who experiences more of a jolt, you or the other driver?

Answers

Answer:

both drivers experience the same force. just with different "results"

Explanation:

Answer:

You do

Explanation:

Momentum is mass*velocity. So Newton's 3rd law equal and opposite reaction. Because you weigh less you will have more force act on you than the driver who weighs more.

just want to double-check that you understand a practical consequence of the expansion of the universe. Light reaches us from a very distant galaxy. The time the light took to cross this distance and reach us is 10 billion years. The distance this light has crossed in this time is probably

Answers

Answer:

The distance of the light is 9.4608 x 10^25 m

Explanation:

Time taken by the light = 10 billion years = 10 x 10^9 years

speed of light = 3 x 10^8 m/s

speed of light in m/years is = (3 x 10^8)/(60 x 60 x 24 x 365) = 9.4608 x 10^15 m/year

distance = speed x time

therefore, the distance of this light = 10 x 10^9 x 9.461 x 10^15 = 9.4608 x 10^25 m

Answer:  

more than 10 billion light years due to expansion of space

Explanation:

Compare the values for index of refraction of glass for each trial (values in last column) Is there good agreement between them? Would you conclude that index of refraction is constant for & given medium? Compare your calculated nz with the given index of refraction, nglass. Do they agree? Explain why it does or doesn't"

Answers

The calculated average n2 does not agree with the given index of refraction, indicating a potential discrepancy that may be attributed to experimental limitations or errors.

To analyze the agreement between the values for the index of refraction (n2) of glass in each trial, we can observe the trend and variation in the data. From the table, it appears that the values for n2 increase as the angles θ1 and θ2 increase. However, it is difficult to determine the level of agreement between the values without further statistical analysis or calculation of uncertainties.

The conclusion regarding whether the index of refraction is constant for a given medium depends on the level of agreement observed. If the values for n2 in each trial are close to each other and do not deviate significantly, it suggests good agreement and supports the hypothesis of a constant index of refraction.

On the other hand, if there is significant variation and inconsistency among the values, it indicates that the index of refraction may not be constant for the given medium.

To determine the average value of n2 from the provided results, we can calculate the mean of the n2 values:

Average n2 = (1.46 + 1.61 + 1.73 + 1.96 + 2.08 + 2.13) / 6 ≈ 1.85

Comparing the calculated average n2 (1.85) with the given index of refraction of the glass (1.50), we can see that they do not agree. The calculated average n2 is higher than the given value of 1.50. This suggests that there might be some systematic error or uncertainties in the measurements or calculations.

The difference between the calculated and given values could be due to factors such as experimental errors, instrumental limitations, or other sources of uncertainty in the measurement process.

To know more about refractive index, refer:

https://brainly.com/question/14703761

#SPJ4

Complete question is:

Calculate sinθ1, sinθ2 and n2 for each of your results and add them to table 1. Keep your results to 2 or 3 significant figures.

Compare the values for index of refraction of glass for each trial (values in last column). Is there good agreement between them? Would you conclude that index of refraction is a constant for a given medium?

Determine the average value of n2 from your results.

Compare your calculated n2 with the given index of refraction of the glass (1.50). Do they agree? Explain why it does or doesn’t.

Compare the values for index of refraction of glass for each trial (values in last column) Is there good

how is the decomposition of an alkali metal chlorate used in commercial aircraft?

Answers

The decomposition of an alkali metal chlorate is used in commercial aircraft as an oxidizer in a solid fuel rocket motor.

This type of rocket motor is typically used in jet engines, which provides thrust and helps to propel the aircraft. The decomposition of the alkali metal chlorate produces oxygen and chlorine dioxide, which in turn can be used to combust the fuel. The chlorine dioxide acts as an oxidizer, enabling the fuel to burn faster and with more energy, which is essential for propelling an aircraft. The oxygen produced from the decomposition of the alkali metal chlorate provides additional combustion energy, which can help reduce the amount of fuel needed to propel the aircraft. Additionally, the chlorine dioxide produced helps to reduce emissions, making the aircraft more environmentally friendly. The decomposition of an alkali metal chlorate can therefore provide a number of benefits to aircraft operations.

For more such questions on aircraft, click on:

https://brainly.com/question/27093584

#SPJ11

a ____ pressure usually indicates clearing weather or fair weather. a. steadily rising b. constant c. fluctuating d. steadily falling

Answers

A steadily rising pressure usually indicates clearing weather or fair weather.

In general, changes in barometric pressure can be used to predict changes in weather conditions. A rising barometric pressure usually indicates that the weather is clearing up or will remain fair, while a falling barometric pressure often indicates that stormy weather is on the way.

A steadily rising pressure indicates that the air pressure is increasing and the weather is likely to improve or remain stable. In contrast, a steadily falling pressure indicates that the air pressure is decreasing, which could indicate an approaching storm or other atmospheric disturbance. Fluctuating pressure and constant pressure are not necessarily indicative of any specific weather conditions.

So, the correct answer is a. steadily rising.

To learn more about pressure, refer:-

https://brainly.com/question/29341536

#SPJ11

A steadily rising pressure usually indicates clearing weather or fair weather.

The pressure is an important factor in predicting weather conditions.

A barometer is used to measure atmospheric pressure and it is typically reported in inches of mercury or millibars.

Changes in atmospheric pressure can provide important clues about the weather conditions that are expected to occur in the near future.

When the atmospheric pressure is steadily rising, it typically indicates that clearing weather or fair weather is on the way.

This is because high pressure systems generally bring with them clear skies and dry air, which can make for pleasant weather conditions.

In contrast, when the atmospheric pressure is steadily falling, it is typically an indication that stormy weather is on the way.

This is because low pressure systems generally bring with them cloudy skies and moist air, which can lead to precipitation and thunderstorms.

A constant pressure may indicate that the current weather conditions are likely to persist for a while.

However, it is important to note that changes in wind patterns or temperature can still affect the weather, even if the pressure remains constant.

Fluctuating pressure can be an indication that weather conditions are likely to change rapidly.

For example, if the pressure is dropping quickly, it may indicate that a storm is approaching.

In summary, understanding the relationship between atmospheric pressure and weather conditions can be helpful in predicting the weather.

A steadily rising pressure usually indicates clearing weather or fair weather, while a steadily falling pressure usually indicates stormy weather.

A constant pressure may indicate that the current weather conditions are likely to persist, while fluctuating pressure can be an indication that weather conditions are likely to change rapidly.

To know more about weather conditions visit link :

https://brainly.com/question/17768786

#SPJ11

Iron meteorites are interpreted as deriving from the cooled metallic core of a largeish asteroid. This is based upon:

Answers

Answer:

This is based upon the fact that meteorites are generally believed to have originated as solid debris from Larger bodies like meteoroid or asteroids

Explanation:

Iron meteorites are interpreted as deriving from the cooled metallic core of a larger asteroid , because meteorites are generally believed to have originated as solid debris from Larger bodies like meteoroid or asteroids that are located outside the planet but found their way into our planet .

why were the fastest climbers not necessarily the ones who developed the most power

Answers

The fastest climbers are not necessarily the ones who developed the most power because power is not determined by the speed of an object.

When we talk mathematically the power in an object is defined as the work done by the body per unit time.

The fastest climber necessary for the ones who developed the most power because a greater velocity or a greater speed is not a parameter for calculating the power in an object or in our body.

The power is only calculated on the basis of the work done by a climber.

To know more about power, visit,

https://brainly.com/question/1634438

#SPJ4

1. The speedometer in every car also has an odometer that records the distance traveled.
a. If the odometer reads zero at the beginning of a trip and 35 km a half hour later,
what is the average speed?
Neyt

Answers

Answer:

70 km/h

Explanation:

70 divided by 2 = 35

Who deals with the cosmos order?

Answers

Answer: Cosmology

Explanation:

PLEASE HELPP
Select the correct answer.
Which item is made from a synthetic material?
cotton pants

leather jacket

tissue paper

wicker basket

PLEASE HELPPSelect the correct answer.Which item is made from a synthetic material?cotton pantsleather

Answers

Answer:

Tissue paper

Explanation:

Tissue paper is made from a synthetic material

The acceleration of an object would increase if there was an increase in:
A.mass of the object
B.force on the object
C.inertia of the object
D.friction in the object

Answers

Answer:

Its either B or A

Explanation:

An object, experiencing no friction, keeps moving at a constant speed. What can we say about the net force on the object?

a) the net force keeping the object going is the same as the force that would be required to stop it
b)the net force is in the same direction as the object's velocity
c)the object is not changing its speed but its velocity might be changing in Direction so if there is a net force it is that right angles to the velocity
d)since the object has no acceleration there is no net force
e)the net force is equal to the weight of the object ​

Answers

Answer:

Explanation:

Let's look at a mathematical representation of this. The equation for tis is just a souped up version of Newton's 2nd Law:

F - f = ma. It an object is moving at a constant speed, the acceleration of that object is 0. That changes this equation to

F = f which states that the applied Force equals the frictional force, choice a.

a body of mass 30 kg moving north a velocity of 0.5 ms-1 subjected of 15 N North for 2.7 s.



No need to explain just give me the answer I’m in a test thanks

Answers

Question: a body of mass 30 kg moving north a velocity of 0.5 ms-1 subjected of 15 N North for 2.7 s.  Calculate the final velocity of the body.

Answer:

14 m/s

Explanation:

From the question,

F = ma......................... Equation 1

make a the subject of the equation

a = F/m....................... Equation 2

Given: F = 15 N, m = 30 kg.

Substitute these values into equation 2

a = 15/3

a = 5 m/s².

Using,

a = (v-u)/t.................... Equation 3

Where v = final velocity, u = initial velocity, t = time.

Given: u = 0.5 m/s, t = 2.7 s and a = 5 m/s²

Substitute these values into equation 3

5 = (v-0.5)/2.7

(v-0.5) = 5×2.7

v-0.5 = 13.5

v = 13.5+0.5

v = 14 m/s

Target zone means that is your minimum amount of work you do when training.

(1 Point)

True

False

Answers

Answer:

False

Explanation:

Target zone is generally approximatly 70% (maybe 80%)  of your maximum amount of work you can do.

i GOT DISCONNECTED WITH A TUTOR THAT WAS EXPLAING, NEED HELPIna shoots a large marble (Marble A, mass: 0.08 kg) at a smaller marble (Marble B, mass: 0.05 kg) that is sitting still. Marble A was initially moving at a velocity of 0.5 m/s, but after the collision it has a velocity of −0.1 m/s. What is the resulting velocity of marble B after the collision? Be sure to show your work for solving this problem along with the final answer.

Answers

Given that,

The mass of marble A, m₁=0.08 kg

The mass of marble B, m₂=0.05 kg

The initial velocity of marble A, u₁=0.5 m/s

As the marble B was at rest, the initial velocity of marble B is u₂=0 m/s

The final velocity of marble A, v₁=-0.1 m/s

Let the final velocity of marble B be v₂.

According to the law of conservation of momentum, the total momentum before the collision is equal to the total after the collision.

Therefore

\(m_1u_1+m_2u_2=m_1v_1+m_2v_2\)

On rearranging the above equation,

\(v_2=\frac{m_1u_1+m_2u_2-m_1v_1}{m_2}\)

On substituting the known values in the above equation,

\(\begin{gathered} v_2=\frac{0.08\times0.5+0.05\times0-0.08\times-0.1}{0.05} \\ =\frac{0.048}{0.05} \\ =0.96\text{ m/s} \end{gathered}\)

Therefore the

Answer:

See below

Explanation:

Use conservation of momentum (rather than Kinetic Energy ) for collision problems:

Momentum A  = mv = .08 * .5 = .04  km m/s

Momentum B = mv  = 0

    Total Momentum = .04 + 0 = .04  kg m/s

After collision the sum must be the same

A = mv = .08 ( -.1 ) = - .008 kg m/s

B = m vb   = .05 vb

    .04   =  - .008   +  .05 vb

      vb =  + .96 m/s      in the same direction as original A direction

What property of a wave remains unchanged when a wave enters a different medium? a. amplitude b. frequency c. wavelength d. velocity e. density

Answers

The characteristic of waves that remains unchanged when it enters a distinct medium is the frequency (Option B).

What is wave frequency?

The expression 'wave frequency' indicates the period of time or occurrence of a particular type of wave.

This period or wave frequency is always an independent variable of the medium in which the wave travels.

In conclusion, the characteristic of waves that remains unchanged when it enters a distinct medium is the frequency (Option B).

Learn more about wave frequency here:

https://brainly.com/question/3148541

#SPJ4

Answer: B. frequency

Explanation: plato answer :)

suppose a pair of reading glasses found on the rack in a pharmacy has a power of 1.85 d. show answer no attempt what is the focal length f, in centimeters?

Answers

The focal length of the reading glasses is 54 centimeters.

The power of a lens is defined as the reciprocal of its focal length, in meters:

P = 1/f

where P is the power of the lens in diopters, and f is the focal length of the lens in meters.

To convert diopters to meters, we use the conversion:

1 diopter = 1 / (1 meter)

Therefore, for a lens with a power of 1.85 diopters:

f = 1/P

f = 1/1.85

f = 0.54 meters

To convert the focal length from meters to centimeters, we multiply by 100:

f = 0.54 meters * 100

f = 54 centimeters

Therefore, the focal length of the reading glasses is 54 centimeters.

Learn more about focal length

https://brainly.com/question/29870264

#SPJ4

The burning of a log releases the logs chemical_energy into other forms of energy

Answers

Answer:

When we burn wood we are releasing solar energy, in the form of heat, that has been stored in the wood as chemical energy. The process of photosynthesis converted solar energy, water and carbon dioxide into oxygen and the organic molecules that form the wood, half the weight of which is carbon.

Explanation:

A 100 meter dash was held with 20 contestants. The best time was 10.7 seconds, and the worst time was 15.3 seconds. Only the fastest 10 contestants advance to the final race.

Which measure of central tendency should be used to calculate the cutoff time for the final race?
A.
range
B.
mode
C.
median
D.
mean

Answers

The measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

Option C.

What is median?

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.

So from the given data of the 100 meter dash, the measure of central tendency that should be used to calculate the cutoff time for the final race is the median.

The median will help to separate half of the data points that are smaller than the cutoff time and half of the data points are larger than the cutoff time.

Learn more about median here: https://brainly.com/question/26177250

#SPJ1

The force of gravity by the Sun keeps the planets in orbit around it, but how do the planets affect the Sun?

Answers

They each pull equally hard, forcing the Sun to shift slightly. when the Sun's gravitational pull holds the planets in their orbits,

The average period of the solar cycles, including irradiance, sunspots, solar flares, radio flux, and polarity flip, is 11 Earth years. According to scientists, the Sun's internal processes and atmospheric interactions are what cause various solar activity. According to the authors, these behaviours and cycles also have an outside origin. Because planets need external constant loading to support their ongoing internal processes and dynamic systems. Here, the Sun's dynamical system and internal processes are activated by the planets' uneven gravitational fields, particularly by the biggest planet in the solar system, Jupiter, which has 67 moons and an orbital period of 11.856 years. As a result, distinct solar cycles are produced.

Learn more about Gravitational here:

https://brainly.com/question/3009841

#SPJ4

Me file can walk a distance of 300 meters in 60 seconds. What is his speed

Answers

Answer:

5 m/s

Explanation:

use speed=distance/time

300/60=5

Can someone please answer this, ill give you brainliest Would be very appreciated.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Answer:

See below ~

Explanation:

ice wedging : mechanical weathering

oxidation : chemical weathering

abrasion : mechanical weathering

plant roots : biological weathering

hydrolysis : chemical weathering

if a car is going 50 mile per hour how long does it take to go 50 miles

Answers

Answer:

1 hour

Explanation:

yfugsde vbfgshreck next

Answer:

1 hour

Explanation:

MPH stands for miles per hour. So on a highway, if you were going 80MPH, you would go 80 miles, every hour. In this scenario we are going 50 MPH, it would take an hour to go 50 miles.  If, however, the car was going slower, like 25mph, it would take 2 hours because 25+25 is 50.

.The speed of light through a clear solid is 2.05 x 10 m/s. Is the solid A) zircon where n-1.92, B) diamond where n=2.42, or C) quartz where n-1.46? Provide mathematical proof of your answer. (2 Marks)

Answers

Given, speed of light through a clear solid is 2.05 × 108 m/s. We need to find whether the given solid isA) zircon where n = 1.92, B) diamond where n = 2.42, or C) quartz where n = 1.46. Let us use Snell’s law of refraction to find out whether the given solid is zircon, diamond or quartz.

Snells law states that:n1 sin θ1 = n2 sin θ2,where n1 = refractive index of the medium in which the incident ray is travelling,n2 = refractive index of the medium in which the refracted ray is travelling,θ1 = angle of incidence, andθ2 = angle of refraction. The refractive index n is given by:n = c/vwhere c is the speed of light in vacuum and v is the speed of light in the given medium. Let the given medium be denoted by x. The speed of light through a clear solid, x is given as 2.05 × 108 m/s. The refractive index of the medium can be calculated as:n = c/v = 3 × 108/2.05 × 108 = 1.46≈ 1.46Now, we can calculate the critical angle for the given medium using the formula:θc = sin−1 (n2/n1),where n1 = refractive index of the medium in which the incident ray is travelling,n2 = refractive index of the medium in which the refracted ray is travelling.

Using the given options and their refractive indices, we get the following values for critical angles for zircon, diamond and quartz:Zircon:θc = sin−1 (1/1.92) = 30.27°Diamond:θc = sin−1 (1/2.42) = 24.41°Quartz:θc = sin−1 (1/1.46) = 41.81°Now, we can calculate the critical angle for the given medium using the formula:θc = sin−1 (n2/n1),where n1 = refractive index of the medium in which the incident ray is travelling,n2 = refractive index of the medium in which the refracted ray is travelling.Let the given medium be denoted by x and its refractive index be denoted by nx. Since the given medium is a clear solid, we can assume that the angle of incidence is zero (i.e. the incident ray is perpendicular to the surface of the solid).θ1 = 0°Hence, we get the following expression for the angle of refraction:θ2 = sin−1 (n1/n2 × sin θ1) = sin−1 (n1/n2 × 0) = 0°Therefore, the incident ray will not be refracted when it enters the given solid. Since no refraction occurs, we can conclude that the critical angle for the given solid is zero.

To know more about Snell’s law visit :

https://brainly.com/question/31432930

#SPJ11

question the computer output below shows the result of a linear regression analysis for predicting the concentration of zinc, in parts per million (ppm), from the concentration of lead, in ppm, found in fish from a certain river. which of the following statements is a correct interpretation of the value 19.0 in the output?

Answers

A correct reading of the value 19.0 in the output of a linear regression analysis is that there is a projected rise of 19.0 ppm in the concentration of zinc for every increase of 1 ppm in the concentration of lead discovered in the fish.

In statistics, a linear method known as linear regression is used to describe a scalar response and one or more explanatory factors.

Linear regression analysis is used to forecast the value of a variable based on the value of another variable. The dependent variable is the one you're trying to forecast. The variable you are using to predict the value of the other variable is known as the independent variable.

To know more about concentration

https://brainly.com/question/29564436

#SPJ4

An object is 12.0 cm from a
concave mirror with f = 15.0 cm.
Find the image distance.
(Mind your minus signs.)
(Unit = cm)

Answers

To find the image distance formed by a concave mirror, we can use the mirror equation:

1/f = 1/di + 1/do

Where:

f is the focal length of the mirror,

di is the image distance,

and do is the object distance.

In this case, the object distance (do) is given as 12.0 cm, and the focal length (f) is given as 15.0 cm. We can rearrange the equation to solve for the image distance (di):

1/di = 1/f - 1/do

Substituting the given values:

1/di = 1/15 - 1/12

To simplify this expression, we need to find a common denominator:

1/di = (12 - 15)/(12 * 15)

1/di = -3/180

Now, we can invert both sides to find di:

di = 180/-3

di = -60 cm

Therefore, the image distance is -60 cm. The negative sign indicates that the image is formed on the same side as the object (in this case, it is a virtual image).

Answer:

60 cm

Explanation:

the U (obj. distance)  =   12  as it is a concave mirror then u  =  -12cm

the f = -15cm

by mirror formula

1/v  +  1/u =  1/f

by substituting values

1/v  +  (1/-12)  =  1/-15

1/v = 1/-15 -(1/-12)

1/v = 1/-15 + 1/12

by taking L C M  60

1/v = -(4/60)  +  5/60

1/v = 1/60

so V = 60 cm

A 600 kg vehicle has an engine that is exerting 7000 N of force. Assuming a drag force of 500 N what is the vehicle's acceleration ?

Answers

Answer:

Mass of Vehicle = 600 kg

Force = F = 7000 N

Drag force = f = 500 N

Let Fnet is net force on Vehicle then

Fnet = F - f

Fnet = 7000 - 500

Fnet = 6500 N

Let a is acceleration of Vehicle then by Newton's law

Fnet = Ma

a = Fnet / M

a = 6500/ 600

a = 10.83 m/s2

This is acceleration of Vehicle

Explanation:

When a single charge q is placed on one corner of a square, the electric field at the center of the square is F/q. If three other equal charges are placed on the other corners, the electric field at the center of the square due to these four equal charges is

a) F/(2q)
b) F/(4q)
c) 4F/q
d) F/q
e) zero

Please explain how you came to the correct answer.

Answers

The answer to the question is option (c) 4F/q.

The electric field due to a single charge q at the center of a square is given by

E = F/qWhere F = 1/4πε₀ * q / r²,

where r is the distance between the charge and the center of the square. The electric field of the single charge q has a magnitude of F/q when it is at the center of the square.

If three other charges, each of the same magnitude, are placed on the other corners of the square, the resultant electric field at the center of the square is the vector sum of the electric fields due to the four charges.Let the distance between the charges and the center of the square be a.

The force due to each charge is given by

F' = 1/4πε₀ * q / a²

The electric field due to each charge at the center of the square is given by

E' = F'/q = 1/4πε₀ * q / a²q.

The electric field at the center of the square due to these four charges is the vector sum of the electric fields due to the four charges. Since the charges are placed at the corners of a square and are equidistant from the center, the angle between any two fields is 90°.

Hence, the resultant electric field is given by

E = 2E' sin 45° + 2E' sin 135°= 2E' /√2 + 2E' /-√2= 4E' /√2= 4 (1/4πε₀ * q / a²q) /√2= 4F /q.

Hence, the option (c) is the correct answer.

learn more about electric field here

https://brainly.com/question/19878202

#SPJ11

A man stands on a stationary boat. He then jumps out of the boat onto the jetty.The boat moves away from the jetty as he jumps.
State the physics principle that is involved in the movement of the boat as the man jumps onto the jetty

Answers

The principle involved is the conservation of momentum, where the boat moves in the opposite direction to maintain total momentum zero.

The physics principle involved in the movement of the boat as the man jumps onto the jetty is the principle of conservation of momentum. According to this principle, the total momentum of an isolated system remains constant if no external forces act on it.

In this scenario, the boat and the man can be considered as an isolated system since there are no external forces acting on them. Initially, when the man is standing on the boat, the system is at rest, and the total momentum is zero.

When the man jumps off the boat and onto the jetty, he exerts a force on the boat in one direction. According to Newton's third law of motion, for every action, there is an equal and opposite reaction. As the man pushes off the boat, the boat experiences an equal and opposite force that propels it in the opposite direction.

Due to the conservation of momentum, the momentum gained by the boat in one direction is equal to the momentum lost by the man in the opposite direction. As a result, the boat moves away from the jetty, exhibiting a backward motion.

This principle can be mathematically expressed as:

Initial momentum of the system = Final momentum of the system

Since the initial momentum is zero, the final momentum of the system (including the man and the boat) must also be zero. The momentum gained by the boat ensures that the total momentum of the system remains conserved.

For more such information on: conservation of momentum

https://brainly.com/question/7538238

#SPJ8

::

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495

grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh?

5.10 oz

b. 11.49 OZ

32.92 oz

53.90 OZ

a

C.

d.

Please select the best answer from the choices provided

ООО

с

D

Mark this and retum

Show Me

Save and Exit

Next

Submit

Answers

Answer:

A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

Explanation:

You know that:

3.25 cm length of rope weighs 61.40 grams .There are 28.3495 grams in an ounce .There are 2.54 centimeters in an inch.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), knowing the values ​​a, b and c and x being the unknown, we must apply the direct rule of three as follows:

a ⇒ b

c ⇒ x

So \(x=\frac{c*b}{a}\)

To find the number of ounces a 19.45-inch length of the same string would weigh, you apply the following rules of three:

If there are 2.54 centimeters in 1 inch, how many centimeters are there in 19.45 inch?

\(centimeters=\frac{19.45 inch*2.54 centimeters}{1 inch}\)

centimeters=49.403

Now, if 3.25 centimeters long it weighs 61.40 grams, then 49.403 centimeters long, how many grams does it weigh?

\(grams=\frac{49.403 centimeters*61.40 grams}{3.25 centimeters}\)

grams= 933.34

Finally, if there are 28.3495 grams in 1 ounce, in 933.34 grams how many ounces are there?

\(ounces=\frac{933.34 grams*1ounce}{28.3495 grams}\)

ounces= 32.92

A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.

Answer:

c

Explanation:

Other Questions
after everything to drainage collection chamber for post-operative client portable clothes suction wound drainage if the temperature increases from 10 to 60 degrees celsius at a constant pressure of 0.4 atmospheres, (c) y=ln(sin(x 2 +5)) (d) y=(lnx)(sinx)(x 2+5) List at least four reasons why it is difficult to send manned space flights to partsof the solar system other than the moon. which of the following events that preceded the outbreak of the first world war best explains why russian troops were being mobilized against austria-hungary, as stated in the first paragraph? Please help !What is the coefficient in the term 4w?4w01 What should the transitional tags but, however, and on the other hand be used for?All of the aboveto contrast ideasto show the order of ideasto introduce quotes A situation where the bones are connected exclusively by ligaments, cords, or bands of fibrous tissue is a ________. gomphosis syndesmosis suture synchondrosis Round to the nearest hundredth (2 decimal places) when necessary The lemonade war put the events in order The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the functionQ = 900L/K/.Labor costs $100 per unit and capital costs $200 per unit. What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? (Round your answers to the nearest whole number.)K=L=What is that minimum cost? (Round your answer to the nearest whole number.) What was the purpose of the several pavilions likely to be found as part of a nobleman or high-ranking individuals house and compound?. Which of the following statements about ERP system is true? 1. Most ERP software implementations fully achieve seamless integration. 2. ERP software packages are themselves combinations of seperate applications for manufacturing, materials, resource planning, general ledger, human resources, procurement and order entry. 3. Integration of ERP systems can be achieved in only one way. 4. An ERP package implemented uniformly throughout an enterprise is likely to contain very flexible connections to allow charges and software variations.Read more on Sarthaks.com - https://www.sarthaks.com/2528562/which-of-the-following-statements-about-erp-system-is-true Sally is driving at 30 miles an hour on the Freeway. The next town Sally will reach is 20 miles away. How long will it take Sally to get to the next town The term Protestant means: a. worshiping. b. reforming. c. witnessing. d. dissenting. e. protecting. thermal denaturation experiments can be used to follow the transition of double-stranded dna into single-stranded dna. which of the following parameters likely affects the tm of dsdna in this experiment? ionic concentration of solution c-g content of dna length of dna strands Solve for x. Enter the number that belongs in the green box can someone help me please with advice. i an trying to get an upstream sensor fixed on my 2009 nissan murano and i went to firestone and they are trying ti charge me 499 for it. am i being ripped pff amd could go somewhere else to get it fixed for cheaper or are they chargung a decent price to get it fixed. please help:( The himalayan rabbit's habitat has cold, snowy winters and mild summers. the body is typically covered in white fur except for the nose, feet, tail, and ears, which are covered in black fur himalayan rabbit a scientist shaved an area of white fur on the back of a himalayan rabbit and placed an ice pack over the shaved area. the shaved area grew black fur. which of these best explains why the hair that grew back where the ice pack was placed was black and not white? f the genes for black hair were activated by specific temperatures. g the white hair mutated to black hair as the rabbit's body temperature decreased. h the coat color changed from white to black with the age of the rabbit. 3 white hair only grows during certain times of the year. Explain one possible path a carbon molecule might take if it began in a small fish and ended up in a blade of grass.