you are exploring a newly discovered planet. the radius of the planet is 7.40 × 107 m. you suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. you measure that it takes 0.0605 s for a transverse pulse to travel from the lower end to the upper end of the string. on earth, for the same string and lead weight, it takes 0.0320 s for a transverse pulse to travel the length of the string. the weight of the string is small enough that its effect on the tension in the string can be neglected.

Answers

Answer 1

For the given values, Other planet's mass is 2.81 x 10²⁶ m.

What does a planet's mass indicate?

Planetary mass is a measurement of an object's mass in astronomy that resembles a planet. Planets in the Solar System are often measured using the astronomical system of units, where the Sun's mass, solar mass (M), serves as the unit of mass.

Given,

Other planet's radius (R) equals 7.40 x 10(7) m

M=0.028kg; string mass

L=4m for the string's length

Time on other planet (Tp) equals 0.0605 seconds

Earth time (Te) equals 0.0320 seconds.

Let's start by locating lead on Earth.

The formula for linear mass density is;

μ = M/L = 0.028/4 = 0.007 Kg/m

The equation for the wave's speed in this instance is Ve = L/t = 4/0.032 = 125 m/s.

The formula yields the spring's (Fe) tension;

Fe=(Ve)2=0.007 x 125 = 0.875 N

Newton's second law of motion, when applied to this earth lead, yields the following results:

Fy= Fe-Wl = 0

Fe = W as a result of Fe - W(l) = 0. (l)

Weight(W) equals Mg, as we know.

So, Fe = M(l)g.

Where g is the acceleration caused by gravity on earth, which is 9.81, and M(l) is the mass of the lead.

M(l) = Fe/g = 0.875/9.81 = 0.089kg as a result.

Let's compute the lead on the second planet using the same technique;

The characteristic of a substance that doesn't change is its linear density:

μ = 0.007 Kg/m

The equation for the wave's speed in this instance is Vp = L/t = 4/0.0605 = 66.11 m/s.

The formula yields the spring's (Fp) tension;

Fp = (Vp)2, which is 0.007 x 66.11² = 30.59 N.

Newton's second law of motion, when applied to this earth lead, yields the following results:

Fy=Fp-Wl = 0

Fe - W(l) = 0 and Fp = W as a result (l)

Weight(W) equals Mg, as we know (p)

Therefore, Fp = M(l)g (p)

where g(p) is the acceleration caused by the gravity of this other planet and M(l) is the mass of lead.

gp = Fp/M(l) = 30.59/0.089 = 343.70 m/s2 as a result.

According to the gravity equation, the planet's acceleration is given by the formula g = (GM)/r2.

M being the topic, we have;

(gr²)/G = M

G, with a value of 6.6742 x 10(-11) Nm2/kg2, is the gravitational constant.

Planet mass is M.

Planetary radius is r.

Thus;

M = [343.70 x (7.4 x 10^(7))²] / 6.6742 x 10^(-11)

Mass = 2.81 x 10^(26)m

Complete Question -

You are exploring a newly discovered planet. The radius of the planet is 7.20 × 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the lower end to the upper end of the string. On earth, for the same string and lead weight, it takes 0.0370 s for a transverse pulse to travel the length of the string. The weight of the string is small enough that its effect on the tension in the string can be neglected.

Part A

Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass?

Express your answer with the appropriate units.

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Related Questions

Pure water has a density of 1000 kg/m³. Explain what will
happen to a block of material with a density of 1020 kg/m³
when placed into:
sea water
pure water.

Answers

The block of material with a density of 1020 kg/m³ when placed into pure water will sink.

What is the density of an object?

The Density of an object is the ratio of the mass and volume of the object.

density = mass/ volume

The density of an object measure how compact the particles of an object are.

Dense objects have particles that are tightly packed together whereas less dense objects have particles that are less tightly packed together.

A denser solid will sink in a less dense liquid.

A less dense solid will float in a denser liquid,

Comparing the densities of the solid object and the density of water.

The block of material has a greater density than water. Hence, the block of material will sink in water.

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Why does 10 gram bigger cooper than 10 gold

Answers

Answer: A gram of gold is worth about $25, so 2 grams or better would be viewed as high-grade for bulk tonnage mining.

Explanation:

i looked it up.

what minimum heat is needed to bring 50 g of water at 50 ∘c to the boiling point and completely boil it away? the specific heat of water is 4190 j/(kg⋅k) and its heat of vaporization is 22.6 × 10 5 j/kg .

Answers

The minimum heat required is 129.7KJ.

How to find the minimum heat?

Given

Mass of water (m) = 50g

Initial temperature [tex]T_{i}[/tex] = 20°C

Final temperature [tex]T_{f}[/tex] = 100°C

Specific heat of water =4190 J/kg-k

The heat of vaporization (L) = 22.6 × 10 5 j/kg .

The heat required = Heat required to raise water temperature from 20 to 100 + Heat to vapourize water thoroughly.

Q=mc([tex]T_{f} - T_{i}[/tex]) + mL

Q=0.05 * 4190 (100-20) + 0.05 * 22.6 × [tex]10^{5}[/tex]

Q=(0.16760 + 1.13)× [tex]10^{5}[/tex]

Q=1.2976 × [tex]10^{5}[/tex]

  = 129.7KJ

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which is a better deal?

a, 1 liter of gas for $1.50
b, same amount of gas for the same amount of money
c, 1 gallon of gas for $4.00​

Answers

C. 1 gallon of gas for $4.00

a piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. knowing that the drill exerts a 12-n⋅m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at a and b, (b) at b and c, (c) at a and c.

Answers

The measure of a force is known as the magnitude of the force. When two or more forces act on a body, the total sum of the forces acting on it is known as the magnitude of the resultant force.

In simpler terms, the sum of the total force is the resultant force.

The magnitude of the resulting forces can be calculated by

[tex]R = \frac{Couple}{Position}[/tex] where R is the resultant force.

Forces at

(a)  A and B

AB = 0.45m

R * (0.45m) = 12 N-m

R = [tex]\frac{12}{0.45}[/tex]

R = 26.66 N

(b)  B and C

BC = 0.24m

R * (0.24m) = 12 N-m

R = [tex]\frac{12}{0.24}[/tex]

R = 50 N

(c) A and C

AC = [tex]\sqrt{AB^{2} +BC^{2} }[/tex]

AC = [tex]\sqrt{(0.45)^{2} + (0.24)^{2} }[/tex]

AC = 0.51m

R * (0.51m) = 12 N-m

R = [tex]\frac{12}{0.51}[/tex]

R = 23.9 N

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A Man's mass on earth is 45kg. What is his mass and weight on space

Answers

The correct answer is 441 N.

The force that pulls objects toward the centre of the Earth is known as earth gravity. The acceleration of all the bodies that are affected by gravity is almost equal to the strength of the gravitational field.

The force exerted on an object by gravity is known as the weight of a body.

As a result, we can state that weight is only a force.

Given that the mass of a person on earth is = 45 kg

and that gravity's acceleration on earth is = 9.8 ms^2.

Weight, then, is defined as mass multiplied by the gravitational acceleration, or W = m × g.

W = 45 × 9.8

W = 441 N

Hence, the total weight on Earth will be 441 Newton.

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What is the number of oxygen atom(s) on which the negative charge will resonate following relevant resonance structures?

Answers

Two oxygen atoms would share the negative charge.

What are resonance structures?

There are some compounds in which a single structure is insufficient to explain the properties of the compound. In that case, we have to involve a number of other structures which contributes to the overall structure of the molecule to different extents.

The arrows are used to show the transformation of the structures of the compounds. Looking at the structures as it has been shown here, we know that the oxygen atoms that would be involved in the resonance are the oxygen atoms that are in the conjugated system.

There are two oxygen atoms in the conjugated system hence they will share the  negative charge.

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you are a scientist studying the behavior of fish. you decide to conduct a thermodynamic analysis of the fish to determine their efficiency at gaining weight. if you define the fish as your system, would it be an open, closed, or isolated system? or does the type of system depend on some other facto

Answers

If the fish is considered as the system, it is an open system

All living things are an open system, since there is a constant exchange of energy and matter with the environment. In this case the fish moves and breathes which will result in a work on the environment.

Thermodynamic analysis is used to study the nature's most diversified energy change. Some of the methods of Thermodynamic analysis are pinch analysis, exergy analysis, second law analysis, and equipartition principles.

Therefore,  if the fish is considered as the system, it is an open system

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Which word describes something that can cause harm? A hazard, A risk, A warning or A precaution​

Answers

Answer:

Hazard

Explanation:

A hazard is a source or a situation with the potential for harm in terms of human injury or ill-health, damage to property, damage to the environment, or a combination of these.

why did a glass bottle with a water burst at night in the cold on a glazed balcony?​

Answers

Answer:

i guess if the a glass gets to cold it will bust

Explanation:

A student fires a cannonball vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building. Determine all unknowns and answer the following questions.

What was the cannonball's maximum height (measured from the ground)?

With what speed did the cannonball strike the building?

What was the cannonball's total flight time?

Answers

Using the equations of kinematics, we obtain the following results;

Maximum height of the cannonball = 59 mVelocity with which the ball strikes the building =  24 m/sTotal time of flight of the cannonball = 7 secsWhat is the maximum height?

The maximum height is the height that was attained by the projectile. In this case, we have the fact that the projectile was fired vertically upwards with a speed of 34.0m/s. On the descent, the cannonball lands on top of a 30.0m tall building.

1) The maximum height could be obtained from;

v^2 = u^2 -2gh

v = final velocity ( 0 m/s at the maximum height)

u = initial velocity = 34.0m/s

g = acceleration due to gravity = 9.8 m/s^2

h = maximum height attained

Since v = 0 m/s

u^2 = 2gh

h = u^2/2g

h = (34)^2/ 2 * 9.8

h = 1156/19.6

h = 59 m

2) Given that the distance covered from the maximum height to the top of the building = 59 m - 30 m = 29 m

v^2 = u^2 + 2gh

In this case, the initial velocity is zero because the cannonballs dropped from a height

v^2 = 2gh

v = √2gh

v = √2 * 9.8 * 29

v = 24 m/s

Given that;

v = u - gt

v = 0 m/s when the cannon ball is projected upwards;

u = gt

t = u/g

t = 34.0m/s/9.8 m/s^2

t = 3.5 secs

The total time spent in air = 2(3.5 secs) = 7 secs

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An object undergoes simple harmonic motion with time period of 2s and amplitude 0.5m. at time t=0 the displacement if the object is a maximum. what is the displacement of the object from the equilibrium position at t=1.5s?

Answers

When t is 1.5 seconds displacement of the object is 0.41 m.

Displacement of an object is defined as the shortest path covered by an object. It can be represented in the units centimeters and meters.

The object's time of simple harmonic motion is T.

T = 2 seconds

The object's amplitude simple harmonic motion is a.

a = 0.5 m

Displacement of the object is maximum when t = 0.

The displacement of the object is y.

When t is 1.5 seconds displacement of the object is,

[tex]y = a \: sin( \frac{2\pi}{T} )t[/tex]

[tex]y = 0.5\: sin( \frac{2\pi}{2} ) \times 1.5[/tex]

[tex]y = a \: sin( \pi \: 1.5)[/tex]

y = 0.41 m

Therefore, when t is 1.5 seconds displacement of the object is 0.41 m.

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A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises explain why (3marks)

Answers

The observation is due to heat transfer from the stearic acid to the water, and as a result, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.

What is heat transfer?

Heat transfer is the process by which heat energy moves from one body or object to another.

Heat is transferred from a hotter to a colder object.

There are three major processes of heat transfer, they are:

conductionconvection, and radiation

Conduction is a for of heat transfer which occurs without actual movement of the molecules, but as result of the vibration of the particles thereby transferring energy from one molecule or particle to the next.

Considering the observation above:

A boiling tube containing liquid stearic acid which has a melting point of 69°C is placed into an insulated cup of water as the stearic acid solidifies the temperature of the water rises.

The given observation is because heat has been transferred from the stearic acid to water. Thus, the temperature of the stearic acid falls, and it solidifies whereas the temperature of the water rises.

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What is the answer to this problem .

A,B,C or D ?

Answers

Option B, the fact that the rubber band is made up of elastic material ensures that it possesses mechanical energy as mechanical energy is stored in the form of kinetic and potential energy.

What is mechanical energy?

Mechanical energy is one form of energy in which the total energy is conserved in the form of kinetic and potential energy. In mechanical energy kinetic energy changes into potential energy and vice-versa.

What is an elastic material?

Elastic materials are types of materials that get back to their original shape after getting stretched by an external force. For example, rubber is an elastic material because it is stretched when force is applied to it but returns to its original shape once the forces are removed.

Now in the given question we have been asked why rubber band has mechanical energy.

The first option states because of mass but since  the meaning of mass does not insure that it is only mechanical energy it could also be electrostatic energy or any other form of energy.

Option B talks about the elastic nature of rubber band which is a correct answer to the question.

Elastic nature of the rubber band ensures that the total energy remains conserved in the form of mechanical energy.

In rubber band when it is stretched in the stressed position it stores energy in the form of potential energy.

While it is released from stretched position the energy gets converted into kinetic energy therefore conserving the total mechanical energy.

Therefore option B which states that the mechanical energy of the rubber band exist because of elastic nature of the material of the rubber band is the correct option.

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100 POINTS Consider a balloon of mass 0.030kg being inflated with a gas of density 0.54kg/m. What will be the volume of the balloon when it just begins to rise in the air of density 1.29kg/m3. (g=10m/s2) Detailed Explanation Please

Answers

Answer: Volume=0.030/0.75

Explanation:

Density= mass/volume ∆density= mass/volume

(1.29- 0.54)= 0.030/volume

0.75 volume= 0.030 Volume=0.030/0.75

2. the microscope is an instrument of measurement. measure the size of an object that fills ½ of the field of view under high power, 400x. show your math.

Answers

The size of the object is 200 micrometers.

Size of the object = (Diameter of the field of view) / Fit number

Field of view of high power magnification 400X = 0.40mm

Fit number = 2  (object fills ½ of the field of view )

Size of the object = 0.40 / 2 = 0.2mm = 200 micrometer.

Work is completed at a rate determined by power. The Watt is the common metric unit of power. A unit of power is adequate for one unit of work divided by one unit of time, as suggested by the facility equation. As a result, one Watt is adequate for one Joule/second. The term "horsepower" is occasionally wont to describe a machine's output of power for historical reasons. The equivalence of horsepower is roughly 750 Watts.  a person is a machine,  a bit like a machine with a power rating. Some people possess greater strength than others. In other words, some people have the power to accomplish the same amount of work in the same amount of time or in less time.

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A student drops a ball from the top of a 24 m tall building. Ignoring air resistance, how long did it take for the ball to hit the ground?

Answers

Answer:

1.11111 century mother duck

PLEASE HELP Describe the difference between a simple machine and a complex machine. Give an example of each.

Answers

Answer:

SImple machine:A machine with few or no moving parts that is used to make work easier.

Example: Wedge, inclined plane, screw, etc.

Complex machine: A machine that is a combination of two or more simple machines.

Example: Car, refrigerator, sewing machine, etc.

Explanation:

Answer:

a simple machine is a machine with few or no moving parts that is used to make work easier, such as a wedge or screw. a complex machine is a combination of two or more simple machines, such as a car, sewing machine or refrigerator.

Explanation:

According to the graph, the velocity is approximately..?​

Answers

As we know velocity is the rate of change of position with respect to time.

Mathematically  [tex]Velocity = \frac{Position}{Time}[/tex]

Also, in a position-time graph, the velocity of a moving object can be represented by the slope of the graph i.e. Tan[tex]\alpha[/tex].

[tex]\alpha[/tex] is the angle made by the slope by the horizontal X-axis.

Distance travelled by the object is recorded on the Y-axis and time taken to complete that particular distance is noted on X-axis.

[tex]Tan\alpha = \frac{Position}{Time}[/tex]

[tex]Tan\alpha = Velocity = \frac{x}{t}[/tex]

According to the graph

for x = 8m, t = 2s

[tex]Tan \alpha = \frac{8}{2}[/tex] = 4 m/s

for x = 12m, t = 3s

[tex]Tan\alpha = \frac{12}{3}[/tex] = 4 m/s

Therefore for every change in distance, the time changes linearly which gives constant velocity as 4m/s.

Option (d) 4 m/s

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What is the peak current through a 484 w room heater that operates on 110 v ac power?

Answers

Through a 484-w room heater that operates on 110 v ac power, the peak current would be 6.22A

Concept of Peak current:

The maximum amount of current that an output is capable of sourcing for brief periods of time is known as the peak current.

When an electrical device or power supply is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.

What is the peak current or the RMS current

Peak current is the highest current present at any particular moment. On the other side, RMS currents are the average currents.

Calculation

Io =?

Power = Vrms x Irms = 484

⇒ 484 = 110v x Io/ [tex]\sqrt{2}[/tex]

Io = (484 x [tex]\sqrt{2}[/tex]) / 110

Io = 6.22A

Thus, the peak current is 6.22A

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What is the transformed numeric value for employment length (emp_length) for those working more than 10 years?

Answers

The possible values lie between 0 to 10. The transformed numeric value can be 10.

Why are numerical features transformed?

The skewed features need to be transformed in order to make them regularly distributed. With square root, cube root, and logarithm transformation, right-skewed features can be made normal.

How may Excel be used to turn non-numeric data into numeric data?

Choose the cells that have text-based numbers recorded in them. Then Click Paste > Paste Special on the Home tab. After selecting Multiply, select OK.

Excel multiplies each cell by 1, converting the text to numbers in the process.

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Polar latitudes have a solar radiation deficit.

Answers

Answer: TRUE

Explanation:

Which of the following is NOT a correct variable assignment?
Group of answer choices

A. name = "Ada"

B. test = 98

C. “Ada” = x

D. name = “Ada” + “Ada”
this is Python btw

Answers

Answer:

Choice C

Explanation:

In any programming language, the variable cannot be in quotes.

Many languages regard a string as literal if it is surrounded by a single quote rather than a double quote. Any computer language prohibits putting quotations around a variable. Thus, option C is correct.

What are the variables in programming language?

Only letters (including uppercase and lowercase characters), numbers, and underscore are permitted in variable names.

A variable's first letter must either be a letter or an underscore. There is no restriction on the length of a variable name or identifier.

Usually, an experiment contains independent, dependent, and controlled variables.

Therefore, A variable in programming is a value that can change based on external factors or data that has been supplied to the program.

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6. A rock is dropped from a cliff and takes 6 seconds to hit the ground. At what time is the
speed of the rock the highest?

Answers

Answer:

Acceleration due to gravity = g = 9.8 m/s²

Time to reach ground = t = 6 sec

Initial Velocity of the Rock = Vi = 0 m/s (Because, the rock will be at rest, initially)

Hope this answer helps you out!

A control is the___by which test___ can be compared.

Answers

A control is the standard by which test variables can be compared.

What is an experiment?

An experiment is a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy of something previously untried.

In an experiment, controlling an experiment means designing an experiment so that the effects of one or more variables are reduced or eliminated.

A control is a separate group or subject in an experiment against which the results are compared.

Therefore, it can be said that a control is the standard by which test variables can be compared.

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choose the correct realistic problem for which this is the correct equation. choose the correct realistic problem for which this is the correct equation. at what distance along the axis of a charged disk is the electric field strength double its value at the center of the disk? give your answer in terms of the disk's radius r . at what distance along the axis of a charged disk is the electric field strength half its value at the center of the disk? give your answer in terms of the disk's radius r . at what distance along the axis of a charged square is the electric field strength double its value at the center of the square? give your answer in terms of the square's side r . at what distance along the axis of a charged square is the electric field strength half its value at the center of the square? give your answer in terms of the square's side r .

Answers

The correct realistic problem for the given equation is problem 1 in which the electric field strength of the disc is half its value at the center of the disk.

We know that,

Electric field of a charged disc at a distance along its axis is given by,

E = σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) )

Electric field at the centre of a charged disc is given by,

[tex]E_{c}[/tex] = σ / 2 ε ( Since at centre, x = 0 )

Distance along the axis of a charged disk, where electric field strength's value is half its value at the center of the disk.

[tex]E_{x}[/tex] = [tex]E_{c}[/tex] / 2

σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) ) =  ( σ / 2 ε ) / 2

x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) = 1 / 2

4 [tex]x^{2}[/tex] = [tex]x^{2}[/tex] + [tex]r^{2}[/tex]

3 [tex]x^{2}[/tex] = [tex]r^{2}[/tex]

x = r / √ 3 ,which is the correct distance, when magnitude is half its value from centre.

Electric field is a field that surrounds electrically charged particles that exerts force on other charged particles in the field.

Therefore, the given equation is suitable for Electric field of a charged disc at a distance along its axis where electric field strength's value is half its value at the center of the disk.

The given question is incomplete. The completed question is

You are given the following equation to solve a problem:

σ / 2 ε ( 1 - x / √ ( [tex]x^{2}[/tex] + [tex]r^{2}[/tex] ) ) = [tex]E_{c}[/tex] = σ / 2 ε

Choose the most realistic problem for which this could be the correct equation.

1 ) At what distance along the axis of a charged disk is the electric field strength half its value at the center of the disk? Give your answer in terms of the disk's radius R.

2 ) At what distance along the axis of a charged disk is the electric field strength double its value at the center of the disk? Give your answer in terms of the disk's radius R.

3 ) At what distance along the axis of a charged square is the electric field strength double its value at the center of the square? Give your answer in terms of the square's side R.

4 ) At what distance along the axis of a charged square is the electric field strength half its value at the center of the square? Give your answer in terms of the square's side R.

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An airplane was flying from Cincinnati to Denver. The velocity of an airplane was measured shortly after take off at 10km/min. The velocity was measured again midflight (at its fastest) 18km/min. 90 min passed between the 2 velocity measurements. What is the acceleration of the airplane?
720 km/min2
0.3 km/min2
2 km/min2
0.9 km/min2

Answers

The acceleration of an airplane that had an initial velocity of 10km/min and a final velocity of 18km/min covered over 90min is 0.09km/min².

How to calculate acceleration?

The acceleration of a moving substance can be calculated by dividing the change in velocity by the time taken as follows:

a = (v - u)/t

Where;

a = accelerationv = final velocity (km/min)u = initial velocity (km/min)t = time (minutes)

According to this question, an airplane was flying from Cincinnati to Denver. The velocity of an airplane was measured shortly after take off at 10km/min. The velocity was measured again mid-flight to be 18km/min.

a = (18km/min - 10km/min)/90min

a = 8km/min ÷ 90min

a = 0.09km/min²

Therefore, acceleration of an airplane that had an initial velocity of 10km/min and a final velocity of 18km/min covered over 90min is 0.09km/min².

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a wooden block floats a liquid with 1/4 of it's volume above the liquid.find the density of the liquid given that the density of the wood is 900 gm–³



Answers

675g/cm³ is the density of the liquid

Here we have given that

density of wood be ρ.

the volume of the block be V          

The volume of the block =1/4 v

The volume of the immersed block (v) =V-1/4V=3/4V

We know the weight of the block = the weight of the water displaced by the submerged part of the block.

i.e. V x ρ x g    

= 3/4 x900g/cm³                            

= 675g/cm³

Density is a measure of mass divided by the volume of an object. Defined as mass per unit volume. here from the above equation we have substituted the given value and  we got the answer as 675g/cm³

       

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My observation is that no object on planet Earth will keep going in one direction forever and never slow down. Because of friction, and air resistance, objects will eventually slow down (from free fall or motion).

Newton's first law (Law of Inertia) states that all objects in motion will stay in motion until acted upon by an outside force.

Can anyone give an example where an object on Earth follows Newton's first law?

Answers

An example where an object on Earth follows Newton's first law is a ball rolling on the ground.

What is Newton's first law of motion?

Newton's first law of motion states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Examples of Newton's first law of motion;

Brakes applied by a bus driver abruptlyAn object placed on a plane SurfaceA ball rolling on the ground.

Thus, an example where an object on Earth follows Newton's first law is a ball rolling on the ground.

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electrons, like all other matter, exhibit the dual behavior of both particles and waves. since electrons travel like waves, their energy is restricted to certain energy , each of which is associated with a specific wavelength

Answers

Electrons, like all other matter, exhibit the dual behavior of both particles and waves. Since electrons travel like waves, their energy is restricted to a certain energy level, each of which is associated with a specific wavelength.

Wave-particle Duality:

Wave-particle duality is the idea that matter and energy have characteristics that are typical of both waves and particles. Depending on the circumstances, the matter may be seen as a wave or a particle.

Objects with huge masses, like baseball, have such small wavelengths that they are best regarded as particles. On the other hand,  objects with small masses, like photons, have huge wavelengths and are best regarded as waves. However, objects with intermediate masses, like electrons, have characteristics of both particles and waves.

As a result, in 1924 de Broglie hypothesized that a particle like an electron may be characterized by a wave. Since electrons are waves, their energy is limited to specific energy levels, each of which corresponds to a given wavelength which is given by

[tex]\lambda =\dfrac{h}{mv}[/tex]

Where h Planck’s constant,

m  ⇒ mass of the particle

v  ⇒ velocity of the particle

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Fill in the blank:

Electrons, like all other matter, exhibit the dual behavior of both         and                     Since electrons travel like waves, their energy is restricted to a certain energy        , each of which is associated with a specific wavelength.

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