Eee A student conducts an investigation to determine how the force of gravity affects different objects dropped from different heights. The student tests each object one time and announces that all objects experienced gravity the same way. What is wrong with the student's reasoning?

Answers

Answer 1

Answer:

For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.

Explanation:

The force of gravity comes from Newton's second law with the force the universal attraction

         F = ma

         F = [tex]G \frac{m_1 M}{(R_e +h)^2}[/tex]

we substitute

          [tex]G \frac{m_1 M}{ (R_e+ h)^2}[/tex] = m₁ a

where Re is the radius of the Earth 6.37 106 m

          a = [tex]G\frac{M}{R_e^2} \ ( 1 + \frac{h}{R_e})^{-2}[/tex]

In general, the height is much less than the radius of the earth, therefore the term ha / Re is very small and we can use a series expansion leaving only the first fears.

             (1 + x)⁻² = 1 -2x + [tex]\frac{2 \ 1}{2!}[/tex]  x²

we substitute

          a = g₀ ([tex]1 - 2 \frac{h}{R_e}[/tex] )

with

         g₀ = [tex]G \frac{M}{R_e^2}[/tex]

let's launch the expression.

* For small height compared to the radius of the earth we can neglect the last term

          g = g₀

* For height comparable to the radius of the Earth

          g = g₀  [tex](1 - \frac{2h}{Re} )[/tex]

We see that the acceleration of gravity is decreasing.

For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.

Answer 2

The student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.

The given problem is based on the concept of gravity and gravitational force. The force of gravity comes from Newton's second law with the force the universal attraction as,

F = ma

[tex]F=G\dfrac{mM}{(R+h)^{2}}\\\\\\ma = G\dfrac{mM}{(R+h)^{2}}[/tex]

Here, a is the linear acceleration, m is the mass of object, M is the mass of Earth, R is the radius of Earth and h is the height from where the objects will be dropped. Then,

[tex]a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}[/tex]

In general, the height is much less than the radius of the earth, therefore the term h/ R is very small, hence can be neglected.

[tex]a = \dfrac{GM}{R^{2}}\\\\a=g = \dfrac{GM}{R^{2}}[/tex]

g is the gravitational acceleration.

For small height compared to the radius of the earth we can neglect the last term as,

a = g

And for the height comparable to radius of Earth,

[tex]a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}\\\\a=g \times(1+h/R)^{-2}[/tex]

Clearly, the acceleration of gravity is decreasing, for which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.

Thus, we can conclude that the student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.

Learn more about the gravitational force here:

https://brainly.com/question/15647838


Related Questions

kid is bouncing on a pogo stick. he oscillates 22.0 times in 14.9 s. What is his period?

Answers

Answer:

Period = 0.68 seconds

Explanation:

Given the following data;

Number of oscillation = 22

Time = 14.9 seconds

To find the period;

Method I.

Period = time/number of oscillation

Period = 14.9/22

Period = 0.68 seconds.

Method II.

We would find the frequency of the wave;

Frequency = time/number of oscillation

Frequency = 22/14.9

Frequency = 1.48 Hertz

Next, we find the period;

Period = 1/frequency

Period = 1/1.48

Period = 0.68 seconds

Stored energy is energy that is saved and can be used later.
Which statement is NOT true about stored energy?
A. Batteries can store electrical energy or solar energy.
B. Plants can store energy from the sun.
C. Animals can store energy as fat.
D. Stored energy does not happen naturally.

Answers

D is not true, hope this helps!

Mass Number
The mass number of an atom is the sum of the number of protons and the number of neutrons in the nucleus of an atom.
Mass number = number of protons + number of neutrons For example, you can calculate the mass number of the copper atom listed in Table 4. 29 protons
plus 34 neutrons equals a mass number of 63
Also, if you know the mass number and the atomic number of an atom, you can calculate the number of neutrons in the nucleus. The number of neutrons is
equal to the mass number minus the atomic number. In fact, if you know two of the three numbers-mass number, atomic number, number of neutrons-
you can always calculate the third
The mass number of an atom is 35 and it has 16 protons. How many neutrons does this atom contain?
The atom contains
neutrons

Answers

Answer:

3

Explanation:

mass number minus the atomic number

35-32

3

Two 10.-ohm resistors have an equivalent resistance of 5.0 ohms when connected in an electric circuit with a source of potential difference. Using circuit symbols found below, draw a diagram of this
circuit.

Answers

The resistors are connected in parallel between the terminals of a battery.

Note: If those resistors are connected in parallel, then their equivalent resistance is already 5 ohms, even if they're still in the drawer or in a box on the shelf. They don't have to be connected to a source of voltage for that to happen.

The base of a box is .45 m by .65 m. It weighs 8694 N. What is the pressure exerted on the floor by the box?

Answers

Answer:

[tex]Pressure = 29723.1\ N/m^2[/tex]

Explanation:

Given

[tex]Force = 8694N[/tex]

[tex]Length = 0.45m[/tex]

[tex]Width = 0.65m[/tex]

Required

The force exerted on the floor by the box

First, calculate the area covered by the box (i.e. the base area)

[tex]Base\ Area = Length * Width[/tex]

[tex]Base\ Area = 0.45m * 0.65m[/tex]

[tex]Base\ Area = 0.2925m^2[/tex]

Pressure is calculated as:

[tex]Pressure = \frac{Force}{Area}[/tex]

[tex]Pressure = \frac{8694N}{0.2925m^2}[/tex]

[tex]Pressure = 29723.0769231\ N/m^2[/tex]

[tex]Pressure = 29723.1\ N/m^2[/tex] --- approximated

How is capacitance related to the distance between the plates of a capacitor?

It is directly proportional, so the capacitance increases as the distance increases.
It is inversely proportional, so the capacitance increases as the distance increases.
It is directly proportional, so the capacitance decreases as the distance increases.
It is inversely proportional, so the capacitance decreases as the distance increases.

Answers

Answer:C

Explanation: I studied, and C is correct

Answer:

D

Explanation:

PLEASE HELP WILL MARK BRAINLIEST PLS

Answers

Answer: 2

Explanation:

Why is a spherical bob preferred to bobs of other shapes for use in simple pendulum experiments​

Answers

Answer

A spherical bob creates more control for the simple pendulum experiment. An irregular bob like a large piece of paper for instance, will create too much air resistance for a basic classical experiment to yield predictable results within the academic lab.

A straight segment of wire has a length of 25 cm and carries a current of 5A. If the wire is perpendicular to the magnetic field of 0.60Tesla, then what is the magnitude of the magnetic force?

Answers

Answer:

The magnitude of the magnetic force acting on the conductor is 0.75 Newton

Explanation:

The parameters given in the question are;

The length of the straight segment of wire, L = 25 cm = 0.25 m

The current carried in the wire, I = 5 A

The orientation of the wire with the magnetic field = Perpendicular

The strength of the magnetic field in which the wire is located, B = 0.60 T

The magnetic force, 'F', is given by the following formula;

F = [tex]\underset{I}{\rightarrow }[/tex]·L×[tex]\underset{B}{\rightarrow }[/tex] = I·L·B·sin(θ)

Where;

[tex]\underset{I}{\rightarrow }[/tex] = The current flowing, I

L = The length of the wire

[tex]\underset{B}{\rightarrow }[/tex] = The magnetic field strength, B

θ = The angle of inclination of the conductor to the magnetic field

Where I = 5 A, L = 0.25 m, B = 0.60 T, and θ = 90°, we get;

F = 5 A × 0.25 m × 0.60 T × sin(90°) = 0.75 N

Therefore

The magnitude of the magnetic force, F = 0.75 N.

Measure of how high or low a sound is

Answers

PITCH
please mark brainliest!!!
The pitch of the sound

What I ferromagnetism??

Answers

Answer:

Ferromagnetism is a kind of magnetism that is associated with iron, cobalt, nickel, and some alloys or compounds containing one or more of these elements. It also occurs in gadolinium and a few other rare-earth elements.

Explanation:

Hope this helped Mark BRAINLIEST!!!

Joan needs to eliminate some employees for a short while. She and her managers identify those employees who are not meeting performance expectations and explain that this termination is temporary but they are encouraged to seek other positions elsewhere. How is Jane trying to reduce the size of the workforce here?

Answers

Answer: layoff

Explanation:

From the information in the question, we can see that Jane is trying to reduce the size of the workforce here through layoff.

Since Joan explains that the termination is temporary, then it's a layoff. If it were to be firing, the termination won't be temporary but permanent as they can't be recalled by the company. But since the employees are discharged temporarily, it's a layoff.

Convertir:
A. 3Km a m
B. 250 ma Km
C. 1000Cm a m
D. 10000 mm a Cm

Answers

Answer:

A. 3,000,000 m

B. 0.25 km

C. 10 m

D. 1,000 cm

Explanation:

no hablo español, así que solo ingrese esto en el traductor de G*ogle

A. One kilometer equals 1000 meters, so

3,000*1,000 = 3,000,000 m

B. One meter equals 0.001 kilometer, so

250*0.001 = 0.25 km

C. One centimeter equals 0.01 meter

1,000*0.01 = 10 m

D. One milimeter equals 0.1 centimer, so

10,000*0.1 = 1,000

Describe how seismic waves can be used to determine the location of petroleum far beneath the surface.

Answers

Answer: The seismic waves are useful for the oil and gas exploration beneath the earth crust.

Explanation:

The seismic waves are sent beneath the earth crust to determine the location of fossil fuels like petrol, and natural gas. These seismic waves bound back and their pattern of reflection and refraction is recorded by using a receiver that is a geophone or can be a hydrophone (in water). The seismic waves bounce back indicating towards the reservoir of fossil fuel exhibit a characteristic pattern that can help in tracing the location of the fossil fuel.

a container of mass 200kg contains 160cm
of liquid. The total mass of the container and liquid is 520g. what is the density of the liquid?​

Answers

Answer:

mass of liquid = total mass - mass of container

m = 52000kg - 200kg

m = 519800

D = m/v

D = 519800/160

D = 3,248.75 kgm-³

A bug on a turntable will make more turns per minute if it is located near the center of rotation. True or false?

Please help me this is timed!

Answers

That would be trueeeee
True! It can make faster turns if it is near the center of the turntable

Which of the following types of energy is not associated with a car engine?
A. Kinetic
B. Heat
C. Sound
D. Light

Answers

Answer:

D

Explanation:

Does not assosicate with Light

"The diagram below shows three kettles with their powers and the time they take to boil 500cm of
water. How many units (kWh) does the 3kW kettle use to boil the water?"

The question above is about a diagram which shows 3 kettles. The one on the left is the on I have to focus on. The power of it is 3kW (KiloWatts) and its takes 3 minutes to boil the given amount of water. Can someone please answer this question? Don't give me an IP grabber or virus download link. If you give me a URL link of any kind, I will report your answer. Don't try it. The answer must be in kWh (KiloWatt Hours).​

Answers

Answer:

3kWx(3/60)h=0.15kwh

PLZZZZZZ HELP 50 POINTS Directions

Now that the lab is complete, it is time to write your lab report. The purpose of this guide is to help you write a clear and concise report that summarizes the lab you have just completed.

The lab report is composed of two sections:

Section I: Overview of Investigation

Provide background information.

Summarize the procedure.



Section II: Observations and Conclusions

Include any charts, tables, or drawings required by your teacher.

Include answers to follow-up questions.

Explain how the investigation could be improved.


To help you write your lab report, you will first answer the four questions listed below based on the lab that you have just completed. Then you will use the answers to these questions to write the lab report that you will turn in to your teacher.

You can upload your completed report with the upload tool in formats such as , Microsoft Word, or PDF. Alternatively, your teacher may ask you to turn in a paper copy of your report or use a web-based writing tool.

Questions



Section I: Overview of Lab

What is the purpose of the lab?


















































What procedure did you use to complete the lab?

Outline the steps of the procedure in full sentences.


















Section II: Observations and Conclusions

What charts, tables, or drawings would clearly show what you have learned in this lab?

Each chart, table, or drawing should have the following items:

An appropriate title

Appropriate labels



























































If you could repeat the lab and make it better, what would you do differently and why?

There are always ways that labs can be improved. Now that you are a veteran of this lab and have experience with the procedure, offer some advice to the next scientist about what you suggest and why. Your answer should be at least two to three sentences in length.













Writing the Lab Report



Now you will use your answers from the four questions above to write your lab report. Follow the directions below.


Section I: Overview of Lab

Use your answers from questions 1 and 2 (above) as the basis for the first section of your lab report. This section provides your reader with background information about why you conducted this lab and how it was completed. It should be one to two paragraphs in length.



Section II: Observations and Conclusions

Use your answers from questions 3 and 4 (above) as the basis for the second section of your lab report. This section provides your reader with charts, tables, or drawings from the lab. You also need to incorporate your answers to the follow-up questions (from the Student Guide) in your conclusions.




Overall


When complete, the lab report should be read as a coherent whole. Make sure you connect different pieces with relevant transitions. Review for proper grammar, spelling, punctuation, formatting, and other conventions of organization and good writing.

Answers

Answer:

60-34+56×22

Explanation:

that's cuz imma teacher THOY!!!!!!

Answer:

60-34+56×22

Explanation:

Two charges, one with a charge of +10.0 x 10-6 C, the other with a charge of -3 x 10-6 C exert a force on each other with a magnitude of 1.7 Newtons on each other. Is this a repulsive or attractive force. What is the separation distance of these charges?

Answers

Answer:

b.

Explanation:

Answer:

Attractive force and r = 0.399 m

Explanation:

One charge is positive and the other charge is negative. Opposite charges attract, so there has to be a force that attracts between them.

q1 = 10.0 x 10^-6 C

q2 = -3 x 10^-6 C

F = 1.7 N

Plug those values into Coulomb's Law:

[tex]F = k\frac{q1q2}{r^{2} } \\1.7 = \frac{(9x10^{9})(10.0 x 10^{-6})(-3 x 10^{-6})}{r^{2} }[/tex]

Solve for r

r = 0.399 m

HELLLP! PHYSICAL SCIENCE GUYS THANK YOU!!​

Answers

i think it is C, hope this helps

Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is placed on the scalp, and a brief burst of current in the coil produces a rapidly changing magnetic field inside the brain. The induced emf can be sufficient to stimulate neuronal activity. One such device generates a magnetic field within the brain that rises from zero to 1.5 T in 120 ms. Determine the induced emf within a circle of tissue of radius 1.6 mm and that is perpendicular to the direction of the field.

Answers

Answer:

0.125 volts

Explanation:

The induced emf can be sufficient to stimulate neuronal activity.

One such device generates a magnetic field within the brain that rises from zero to 1.5 T in 120 ms.

We need to find the induced emf within a circle of tissue of radius 1.6 mm and that is perpendicular to the direction of the field. The formula for the induced emf is given by :

[tex]\epsilon=-\dfrac{d\phi}{dt}[/tex]

Where

[tex]\phi[/tex] is magnetic flux

So,

[tex]\epsilon=-\dfrac{d(BA)}{dt}\\\\=2\pi r\times \dfrac{dB}{dt}\\\\=2\pi \times 1.6\times 10^{-3}\times \dfrac{1.5-0}{120\times 10^{-3}}\\\\=0.125\ V[/tex]

So, the induced emf is equal to 0.125 volts.

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 27pts-

Answers

Answer:

C. The lever applies three times more force than you hand can apply.

Explanation:

Since it's advantage is 3, that means you'll have to multiply the input of it by 3, making this apply 3x more force than your hand.

Hope this helped! <3

Source(s): Me and a bit of g*ogle for clarification

Which of the following correctly describes the relationship between current and voltage as the voltage of a battery increases. Remember that Ohm's Law
states: I = x
As voltage increases, current decreases because current and voltage are inversely proportional.
o As voltage increases, current decreases because current and voltage are directly proportional
As voltage increases, current increases because current and voltage are directly proportional

Answers

Answer:_COC1\/2+_H\/2O>_HC1+CO\/2

Explanation:

Need help asap

What is the energy of the 30 kg skateboarder at 2 m off the ground traveling at 3 m/s?

Answers

1) The kinetic energy of an object is given by:

where m is the object's mass and v its speed.

By using this equation, we find the initial kinetic energy of the skateboarder:

and the final kinetic energy as well:


So, her change in kinetic energy is


2) The work-energy theorem states that the work done to increase the speed of an object is equal to the variation of kinetic energy of the object:

Therefore, the work done by the skateboarder is

PLZZZZZ HELP MEHH ASAP!!!

Answers

Answer:

C

Explanation:

Copper is a conductor because its valence electrons can move freely from atom to atom.

C but i don’t really understand? Is their a article for this or something?

If it is known that a motor battery has an input voltage of 12V and a capacity of 6 Ah, how much power and resistor value is required to turn on 8 lamps with a parallel circuit, with the specifications of each lamp having a maximum voltage of 3V and an electric current of 140 mA? How long did all the lights go on until they off?

Answers

Answer:

Part A

The power to turn on the lamp, ∑P = 3.36 W

Part B

The Resistor required is approximately 8.04 Ohms

Part C

The time for all the lights to go out is approximately 21.43 hours

Explanation:

The input voltage of the motor battery , V = 12 V

The capacity of the battery, Q = 6 Ah

The number of lamps in parallel = 8 lamps

The maximum voltage of each lamp,  = 3 V

The electric current in each lamp = 140 mA

The energy available in a battery, E = Q × V

For the battery, we have;

E = 6 Ah × 12 V = 72 Wh

The energy available in a battery, E = 72 Wh

Part A

The power used by the lamps, [tex]P_i[/tex] = [tex]I_i[/tex] × [tex]V_i[/tex]

∴ The total power used by the lamp, ∑P = 8 × 0.14 A × 3 V = 3.36 W

The power to turn on the lamp, ∑P = 3.36 W

Part B

The resistance required, is given as follows;

Resistor required = (Battery voltage - Lamp voltage)/(The sum of bulb current)

∴ Resistor required = (12 V - 3 V)/(8 × 0.14 A)

The Resistor required = 8.03571429 Ohms

The Resistor required ≈ 8.04 Ohms

Part C

The time for all the lights to go out = The time for the lamps to use all the power available in the battery

The time for all the lights to go out, t = E/∑P

∴ t = 72 Wh/(3.36 W) = 21.4285714 h

∴ The time for all the lights to go out, t ≈ 21.43 h

The time for all the lights to go out = The time for the lamps to use all the power available in the battery = t ≈ 21.43 h

∴ The time for all the lights to go out ≈ 21.43 hours.

A 100 watt bulb with 60 volts has a current flow of how many Amps?

Answers

Answer:

I = 1.666... amps

Explanation:

P = I*V or Power = Current * Voltage

(100 watts) = I * (60 Volts)

I = 1.666... amps

how many nucleons does sulphur have​

Answers

Answer:

32

Explanation:

Answer:

32

Explanation:

Sulfur has 16 protons and 16 neutrons. The atomic number is roughly 32. Therefore, 16 + 16 = 32 nucleons.  

EMERGENCY

Parallax

Find the distance to the following stars:



.768”

.09”

.63”

.25”

.125”

Answers

Link her i cant link it tho
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One of these decisions is whether to use synthetic fertilizer or organic fertilizer, such as manure.An advantage of using synthetic fertilizer instead of organic fertilizer is thatA synthetic fertilizer can provide more targeted macronutrients to the cropsB) synthetic fertilizer remains in the soil longer than organic fertilizer does, reducing the volume needed and, therefore, the cost to the farmerc) synthetic fertilizer adds to soil texture and increases the soil's water-holding capacityorganic fertilizer runs off more readily into waterways, leading to nutrient overload Earnings Per Share, Price-Earnings Ratio, Dividend Yield The following information was taken from the financial statements of Monarch Resources Inc. for December 31 of the current year: Common stock, $125 par value (no change during the year) $12,500,000 Preferred $6 stock, $90 par (no change during the year) 2,250,000 The net income was $1,300,000, and the declared dividends on the common stock were $460,000 for the current year. The market price of the common stock is $92 per share. For the common stock, determine (a) the earnings per share, (b) the price-earnings ratio, (c) the dividends per share, and (d) the dividend yield. Round to one decimal place except earnings per share and dividends per share, which should be rounded to the nearest cent. a. Earnings per share $fill in the blank 1 b. Price-earnings ratio fill in the blank 2 c. Dividends per share $fill in the blank 3 d. Dividend yield fill in the blank 4 % PLEASE HELP ME! 20 POINTS! NO BOTS -.- Divide a piece of paper into two columns. Title one column "Success, and write out five things that would make you feel successful in life. Title the next column "Significance." In the success column, write out what you need to do to feel successful in life. In the significance column, write out what you need to do to feel significant in life. How can you balance both of these areas in your life? 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What would the increase in temperature be in this case? Gizmo image A. 0.7C B. 1.4C C. 2.1C D. 2.8C