Two students want to determine if the acceleration of an object in free fall depends on the mass of the object. They conduct the following experiment to investigate this question: They drop a balled up sheet of paper (0.005 kg), a notebook (0.4 kg), and their physics book (5 kg) from a height of one meter. If air resistance is ignored, which of the following best predicts which object will experience the greatest acceleration?

Answers

Answer 1

Answer:

All the objects experience the same acceleration

Explanation:

According to Newton's law of universal gravitation, we have the gravitational force F given by the relation;

[tex]F=G \times \dfrac{M_1 \times m_{2}}{R^{2}}[/tex]

Where;

G = The universal gravitational constant

M₁ = The mass of the Earth

m₂ = The mass of the object in the Earths gravitational field

R = The radius of the Earth

Therefore, we have;

[tex]F= m_2 \times a = G \times \dfrac{M_1 \times m_{2}}{R^{2}}[/tex]

Which gives;

[tex]a = G \times \dfrac{M_1 }{R^{2}} \ which \ is \ a \ constant = 9.80665 \ m/s^2, \ known \ as \ g, \ which \ is \ \\the \ (acceleration \ due \ to \ gravity)\\[/tex]Therefore, based on the above calculation, all three object will have the same acceleration due to gravity, g, when air resistance is ignored.


Related Questions

Which of the following is true of the structures labeled A in the cell membrane?
Choose 1 answer:
(Choice A) A They are membrane proteins.

(Choice B) B They are entirely hydrophobic.

(Choice C) C They are phospholipids.

(Choice D) D They are carbohydrates.

Answers

Answer: a, they are membrane proteins

Explanation:

Awnser A is the correct awnser


Which of the following hypotheses is written correctly?*
1.If I heat up a tennis ball it will bounce high.
2.Frozen tennis balls will not bounce as high because they are more dense.
3.If a tennis ball is frozen, it won't bounce as high as one that is not frozen.
4.If I freeze a tennis ball, then it will not bounce as high because the ball is more dense.

Answers

Answer:

4 Because Hypothesis sentence always have to be "If" and Then a "then"

A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
(1 point)
more than 3 kg⋅m/s
3 kg⋅m/s
It depends on the mass of each ball.
less than 3 kg⋅m/s

Answers

A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls that have been just sitting there at rest and not moving.

The total momentum of all four balls after the collision is 3 kg⋅m/s, because momentum is not created or destroyed.  The total amount of it after an event is the same as the total amount of it before the event.

The momentum of the billiard balls after the collision is 3 Kgm/s.

Let the billiard ball be B.

Given the following data:

Momentum B = 3 Kgm/s

To find the momentum of the balls after the collision:

Momentum is simply a multiplication (product) of the mass of an object with its velocity.  Also, momentum is a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex]Momentum = Mass[/tex] × [tex]Velocity[/tex]

[tex]Total \; momentum = Momentum \; B + Momentum \;of \;the \;other\; balls.[/tex]

Since the other billiard balls were at rest (not experience any motion), there velocities would be zero (0) m/s.

Substituting the given values, we have:

[tex]Total \; Momentum = 3 + 0[/tex]

Total momentum = 3 Kgm/s.

Therefore, the momentum of the billiard balls after the collision is 3 Kgm/s.

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1. What is the velocity if the displacement is 50 m and the time interval is 10 s?

Answers

Answer:

Velocity=5m/s

Explanation:

V=?

S=50m

t=10s

V=S/t

V=50/10

V=5m/s

Use the motion map to answer the question, describe the position and velocity of the object based moo the motion map?

Answers

Do you have an image?


answer:

katie measured the distance her friend morgan ran on a straight track every 2s. her measurements are recorded in the table below. what was morgan’s average speed? what was her acceleration for the entire trip?

Answers

Answer:

The average speed of her is 2 m/s.

The acceleration for the entire trip is 0.2 m/s²

Explanation:

Given that,

katie measured the distance her friend morgan ran on a straight track every 2s.

According to given chart,

We need to calculate the average speed

Using formula of average speed

[tex]v_{avg}=\dfrac{D}{T}[/tex]

Where, D = total distance

T = total time

Put the value into the formula

[tex]v_{avg}=\dfrac{20}{10}[/tex]

[tex]v_{avg}=2\ m/s[/tex]

We need to calculate the acceleration for the entire trip

Using equation of motion

[tex]v=u+at[/tex]

[tex]2=0+a\times10[/tex]

[tex]a=\dfrac{2}{10}[/tex]

[tex]a=0.2\ m/s^2[/tex]

Hence, The average speed of her is 2 m/s.

The acceleration for the entire trip is 0.2 m/s²

if heat is transferred from gas which could happen

Answers

Life would be a disaster


True or False: Translations are rigid transformations.

Answers

Answer:

Explanation:

Yes, translations are rigid transformations. You can verify that the distances between the points are preserved.

Answer:

True

Explanation:

In translation, all points of the figure move the same distance and in the same direction. The shape and size of the image remains the same as the preimage

What happens to the charged electroscope when a conductor is moved between its plastic sheets, and why?

Answers

Answer: Please find the answer in the explanation

Explanation:

The question goes thus :

What happens to the charged electroscope when a conductor is moved between its plastic sheets, and why?

When a conductor is moved between its plastic sheets of a charged electroscope, the divergence between the brass plate and the gold leaf will decrease.

And why ?

Because of the unlike charges or neutral uncharged charges between the conductor and the plastic Sheets.

Mad scientists looked at the growth of claw size in mutant lobsters due to drinking different amounts of seawater contaminated with Pepsi. Independent Variable: Dependent Variable: Controlled Variable:

Answers

Answer:

Dependent Variable: growth of claw size in mutant lobsters

Independent variable: different amounts of seawater contaminated with Pepsi

Controlled variable: Mutant Lobsters

Explanation:

A dependent variable is one that depends on another factor to get it's result.

An independent variable is one that doesn't rely on another factor/variable to derive it's result.

A controlled variable is one which is constant and remains unchanged throughout the course of the experiment/investigation. Which means it verifies the behavior between the dependent and independent variables.

Now, in the question, the growth of claw size in the mutant lobsters depends on the different amounts of seawater contaminated with Pepsi.

Thus growth of claw size in mutant lobsters is a dependent variable while different amounts of seawater contaminated with Pepsi is an independent variable.

The mutant lobsters would be used throughout the investigation to know the relationship between the dependent and independent variable and wouldn't be changed. Thus, they are controlled variable.

Which option is part of designing a set of experimental procedures

Answers

determining how data will he gathered

Explanation: Apex

Answer:

determining the hypophysis

Explanation:

here you go

Write a explanation explaining why red is a beautiful color is not a hypothesis

Answers

Answer:

Please find the explanation below

Explanation:

A hypothesis in science is a testable explanation that is yet to be tested via experimentation. It is a predictive statement or suggested solution to an observation. A hypothesis aims at finding a possible explanation/answer to a question, which is subject to testing. One important aspect of formulating a hypothesis is that it tends to connect the independent variable with the dependent/measurable variable.

The statement "RED IS A BEAUTIFUL COLOR" cannot be considered a hypothesis because it does not aim to answer a question that can undergo experimental testing. This statement can not be measured via experimentation. The statement is not a possible answer to a question but rather a personal opinion about something.

Round each of the following to 3 significant figures.
a) 77.0653 g
c) 0.00023350 m
b) 6,310,028.2 mm
d) 10.2030°C

Answers

Answer:

a. 77.1 g

b.0.000234 m

c. 6310000 mm

d. 10.2°C

Explanation:

what acceleration of a 45 kg mass pushed with 15 N of force?

Answers

Explanation:

Fnet = ma.

Assume that there is no resistance acting on the mass. Therefore a = 15N / 45kg = 0.33N/kg or 0.33m/s^2.

What is the number at the end of an isotope’s name?

Answers

Explanation:

The liquid contains only one element. -The liquid is a pure substance. The number at the end of an isotope's name is the -mass number. While looking at xenon (Xe) on the periodic table, a student needs to find an element with a smaller atomic mass in the same group.

Please Help Me with This

Answers

Answer:

Explanation:

a). Find the graph attached for the motion.

b). If a shopper walk 5.4 m westwards then 7.8 m eastwards,

   Distance traveled by the shopper = Distance traveled in eastwards + Distance traveled westwards

                                                            = 5.4 + 7.8

                                                            = 13.2 m

c). Displacement of the shopper = Distance walked westwards - Distance traveled eastwards

                                                      = 5.4 - 7.8

                                                      = -2.4 m

Therefore, magnitude of the displacement of the shopper is = 2.4 m

And the direction of the displacement is eastwards.

two teams are playing tug of war. Team A pulls to the right with a force of 450 N. Team B pulls to the left with a force of 415 N

Answers

Answer:

team A - team B = 450 N - 415 N

                                               = 35 N

Explanation:

net force on the rope is 35 N and the direction is towards A.since the two teams are pulling away from each other with the given forces, the net force can be calculated by subtracting the forces.

The net force on the rope is 35N in right direction

What is Net Force? The net force is the vector sum of forces acting on an object,How to calculate the Net force?The force applied by Team A is 450N to the right (Given)The force applied by Team B is 415 N to the left (Given)We need to find the Net force applied on the rope and the direction

As We know that ,

[tex]F_{net} = F_1+F_2[/tex]

Now as The direction of the Team A is right so the Force applied will be positive, that is 450N

Simultaneously , The direction of Team B is left so the Force applied will be negative , that is -415N

Here,

F1 = 450N

F2 = -415N

[tex]F_{net} = F_1+F_2[/tex]

= 450+ (-415N)

= 450-415

=35N

Hence the net force applied is 35N and as the net force is positive the direction will be right

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A stone falls freely from rest for 8.0 s.
a. Calculate the stone's velocity after 8.0 s.
b. What is the stone's displacement during
this time?

Answers

a) The acceleration that the stone has is the gravitational acceleration and it is always the same (Actually not but assumed to be so)

The gravitational acceleration is 9.81 m/s²

Since this acceleration is always constant, we can use the formula of V = g × t, where V is velocity, g is the gravitational acceleration and t is time.

Let's use this formula: V = g × t = 9.81 × 8.0 = 78.48 m/s

b) Displacement in free falls is calculated by the formula of d = 1/2 × g × t², which is actually derivated from average velocity.

If we use the formula, d = 1/2 × 9.81 × 8² = is found to be 313.92 m

If there is anything you do not understand or anything is wrong, please let me know and I am sorry for my bad English ^^

Suppose​ s(t) is the position of an object moving along a line at time t0. What is the average velocity between the times ta and t​b?

Answers

Answer:

[tex]V = \frac{s(t_b) - s(t_a)}{t_b -t_a}[/tex]

Explanation:

Given;

position of the object as s(t)

The average velocity is given by;

[tex]V = \frac{s(t_b) - s(t_a)}{t_b -t_a}[/tex]

where;

s(tb) is the object's final position at time tb

s(ta) is the initial position of the object at time ta

tb is the final time of the object's displacement

ta is the initial time of the object's displacement

What is the best use of an atomic model to explain the charge of the particles in Thomason beans

Answers

An atom's negative particles are surrounded by positive matter, so the positive particles are easier to remove. Thomson's atom model is formed by positive and negative particles The positive particles are bigger than the negative,but the atom is still in equilibrium,this is possible because they have the same“density if you wanna call it like that。So,the properties of negative particles allow them to move free。On the other hand,bigger particles,don't have free moving like negative particles。That's why electrons(negative particles)are the definition of electricity,because they can move easily,although this movement depend on the material,metal are better to move in than wood or plastic.

why sound heard better at night than at day?​

Answers

Answer:

it is because it is quieter at night than in the daytime. Therefore it is easy to hear the sound far away. However, it is only one of the reasons. Actually, sound transmits farther at night may be related to refraction of sound waves! First, sound is the vibration of air, and it is a kind of wave motion.

Explanation:

At night it’s very quiet and during the day most animals are sleeping so they’re not making noises and at night it’s so quiet you could hear farther away

Which are characteristics of refraction

Answers

Answer:

When light travels from one medium to another, the frequency of light does not change. However, the velocity and wavelength change.

Explanation:

Pls mark me as brainliest

6
Question 2 (1 poin)
A rocket traveling at 39.09 m/s is accelerated uniformly to 99.03 m/s over a 22.82 s
interval. What is its displacement during this time

Answers

Answer: a

Explanation:

Marissa is an extremely curious sixth grader. During a snow day she looked out her window and saw a truck spreading something all over the road. After the truck went past Marissa's house, she had a snack, put on her snow boots, hat, coat and gloves and went outside to play. She walked over to the edge of her driveway and observed salt all over the roadway, but not the sidewalks or her driveway. She also observed some of the snow and ice had melted off the roadway but not her driveway or sidewalks. She wondered if the ice and snow melting was due to the salt?

Answers

Answer:yes

Explanation:

ice melter because it causes freezing point depression.This means that salt helps in lowering the freezing point.

what is the dot product and cross product of of two vectors if the angle is between them is 90 degree?​

Answers

[tex]\sf{\pink{\underline{\underline{\blue{GIVEN:-}}}}}[/tex]

The angle between the two vectors is 90° .

[tex]\sf{\pink{\underline{\underline{\blue{TO\: FIND:-}}}}}[/tex]

The dot product of two vectors .The cross product of two vectors .

[tex]\sf{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]

⚡ Let [tex]\rm{\vec{a}}[/tex] and [tex]\rm{\vec{b}}[/tex] are the two vectors .

✍️ We have know that,

[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:.\:\vec{b}\:=\:ab\cos{\theta}\:}}}}[/tex]

Where,

θ = 90°

[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\cos{90^{\degree}}\:}[/tex]

cos 90° = 0

[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\times{0}\:}[/tex]

[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:0\:}[/tex]

[tex]\rm{\red{\therefore}}[/tex] [1] The dot product of two vectors is “ 0 ” .

✍️ We have know that,

[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:\times\:\vec{b}\:=\:ab\sin{\theta}\:}}}}[/tex]

Where,

θ = 90°

[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\sin{90^{\degree}}\:}[/tex]

sin 90° = 1

[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\times{1}\:}[/tex]

[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\:}[/tex]

[tex]\rm{\red{\therefore}}[/tex] [2] The cross product of two vectors is “ ab ” .

the dot and cross product will become zero if the angle becomes 90°

hope it helps you...

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What is an example of a concentric contraction

Answers

Answer:

an example is a bicep curl

Explanation:

A concentric contraction is a type of muscle activation that causes tension on your muscle as it shortens. As your muscle shortens, it generates enough force to move an object.

what is meant by pressure?write its unit.

Answers

Answer:

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed

Unit: Pascal (Pa)

1Pa = 1N/m^2

Why do prokaryotic cells usually reproduce more quickly than eukaryotic cells?

Choose 1 answer:

(Choice A) A Eukaryotic cells are more structurally complex than prokaryotic cells.

(Choice B) B Eukaryotic cells have less DNA than prokaryotic cells.

(Choice C) C Eukaryotic cells have more cell walls than prokaryotic cells.

(Choice D) D Eukaryotic cells are smaller than prokaryotic cells.

Answers

Prokaryotic cells reproduce more quickly than eukaryotic cells because the latter are more structurally complex. The correct option is A.

Structural complexity of cells

Eukaryotic cells have nuclei and membrane-bound organelles such as mitochondrion. This is unlike prokaryotic cells whose DNA lies freely in the cytoplasm and lacks membrane-bound organelles.

In order words, eukaryotic cells are structurally more complex than prokaryotic cells. Thus, reproductive times in prokaryotes are usually quicker than in eukaryotes.

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any push or pull on an object is called (n)

Answers

Answer:  Any push/pull on any object is made by a force of some sort.

Explanation:

Describe the abiotic factors that are essential for your organism to survive

Answers

Answer:

Abiotic factors include water, sunlight, oxygen, soil and temperature. Water (H²0) is a very important abiotic factor - it is often said that "water is life." All living organisms need water. Plants must have water to grow.... Without the sun, plants could not live, and without plants, animals could not live!

Explanation:

*Hope this helps*

Abiotic factors include water, sunlight, oxygen, soil and temperature. Water (H2O) is a very important abiotic factor – it is often said that “water is life.” All living organisms need water. Plants must have water to grow. ... Without the sun, plants could not live, and without plants, animals could not live!
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