A horizontal force acts on an object on a fric- tionless horizontal surface. If the force is halved and the mass of the object is doubled, the acceleration will be (1) four times, (2) two times, (3) one-half, (4) one-fourth as great. (b) If the acceleration of the object is , and the force on it is doubled and its mass is halved, what is the new acceleration

Answers

Answer 1

(a)  If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)  if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

The force on an object is determined by applying Newton's second law of motion;

F = ma

[tex]\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}[/tex]

(a)

when the force is halved, F₂ = 0.5F₁,

mass is doubled, m₂ = 2m₁

[tex]\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)[/tex]

Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)

when the force is doubled, F₂ = 2F₁,

mass is halved, m₂ = 0.5m₁

[tex]\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)[/tex]

Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

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Related Questions

An airplane during departure has a constant acceleration of 3 m / s².

a. What is the speed that the plane reaches in 4 s?
b. If the plane passes at a flight point of
at a speed of 20 m / s, what is the speed 8 s later?​

Answers

Constant acceleration of plane = 3m/s²

a) Speed of the plane after 4s

Acceleration = speed/time

3m/s² = speed/4s

S = 12m/s

The speed of the plane after 4s is 12m/s.

b) Flight point will be termed as the point the plane got initial speed, u, 20m/s

Find speed after 8s, v

a = 3m/s²

from,

a = v - u

t

3 = v - 20

8

24 = v - 20

v = 44m/s

After 8s the plane would've 44m/s speed.

What is something that you do not like, you can't explain it but, but u know u just don't like it. For me, i don't like closed doors. It makes me feel trapped

Answers

Answer:

religion

Explanation:

when I get asked this... what is your religion... I try to explain so the best explanation I can give is

believing in one god is like saying bread can't get wet

physics



is my choice correct?




correct me pls if not


Answers

Answer:

correct

Explanation:

if wrong sorry btw have a great day

how did the discovery of eris force astronomers to reconsider the definition of planet?

Answers

Answer:

Explanation:

They had demoted Pluto on the basis of the discovery of Eris. They also discovered that Eris had a moon. It was thought to be much bigger than Pluto. That turned out not to be true. So having accepted Eris as a planet, they had to consider carefully what to do about Pluto. It has a gravitational constant of 0.82 m/s^2 which is 8.4% of that of our gravitational pull. and slightly more than Pluto.

Later data showed that these two  objects in space were more like twins and that's what shook up the definition of a planet. You can't demote one and not the other.

three energy changes that result in movements accuring in your body as sit down reading book?

Answers

Gravitational to Kinetic to Chemical

A drag racer starts at rest and reaches a speed of 386.0 km/h with an average acceleration of 16.5 m/s2. How long does this acceleration take?

Answers

Answer:

about 16.5 by-

wait DO UR OWN MATH lol

Explanation:

A spacecraft orbiting a planet at an altitude of 120 km releases a satellite that falls towards the surface. The planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km. What is the acceleration of the satellite?

Answers

Answer:

Consider a satellite with mass Msat orbiting a central body with a mass of mass MCentral. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the net centripetal force acting upon this orbiting satellite is given by the relationship

Fnet = ( Msat • v2 ) / R

Explanation:

The acceleration of the satellite released from a spacecraft orbiting a planet at an altitude of 120 km and the planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km is 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex].

What is acceleration?

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. A vector quantity, acceleration, is something that has both a magnitude and a direction. Velocity is a vector quantity as well.

Given:

The altitude of the spacecraft, h = 120 km,

The mass of the planet, m = [tex]5.2 * 10^{23}[/tex] kg,

The radius of the planet, r = 2800 km.

Calculate the acceleration by the formula given below,

A = [tex]G* m /r^2[/tex]

Here, A is the acceleration, G is the gravitational constant,

Substitute the values,

A = 6.674 * [tex]10^{-11}[/tex] *5.2 * [tex]10^{23}[/tex] / [tex]2800^2[/tex]

A = 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex]

Therefore, the acceleration of the satellite is 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex]

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The length of a rectangle plus its width is 52 cm. The area is 672 square cm. What are the length and width of the rectangle?

Answers

Answer:

technically nfrbhrbbrbbf but also the skier can hurt himself if he speeds up

Explanation:

need points so plz like it

Answer:

Lenght= 12.92cm

Width= 52cm

The atomic mass of sodium is 0.0230 kg/mole. How many moles are in 1.59 kg of sodium?

Answers

[tex]\\ \sf\longmapsto No\;of\:moles=\dfrac{Given\:mass}{Atomic\:mass}[/tex]

[tex]\\ \sf\longmapsto No\:of\:moles=\dfrac{1.59}{0.0230}[/tex]

[tex]\\ \sf\longmapsto No\:of\:moles=69.13moles[/tex]

Làm như thế nào v cái bài có hình đính kèm

Answers

Answer:

I don't understand that language. This brainly is english.

Explanation:

Given a table of values for the exponential function f(x) and a description of the
transformation for the function g(x)
, fill out the table of values based on the original
points for glx), the transformed function.
- 1
0
2
16
3
Reflect over
0
2
4
0-4, -1, -12
1
16
.
64
01, 1, 4, 16, 64
,
4, 1, , 162
0-1, -1, –4, – 16, – 64

Answers

Answer:its D

Explanation:

i did the test and got it right

The transformation function of the given exponential function is -1/4, -1, -4, -16, -64. Hence option D is correct.

What is an exponential function?

An exponential function is a mathematical relation to find exponential growth or decay for the given data. It represents the constant change in independent variables and gives the same proportional change.

The exponential function is expressed as f(x) = exp (x) or eˣ where x is variable and e is constant which is called the base of the equation.  

From the given,

the exponential function f(x) = 1/4, 1,4,16,64

The transformation function G(x) is the inverse of the exponential function and is equal to -1/4,-1, -4,-16,-64.

Hence, the ideal solution is option D.

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what if water didnt have a negative charge?

Answers

The water molecule, as a whole, has 10 protons and 10 electrons, so it is neutral. ... The unequal sharing of electrons gives the water molecule a slight negative charge near its oxygen atom and a slight positive charge near its hydrogen atoms.

Sarah decelerates from 30 to 10m/s over a distance of 5m. What is her acceleration? ​

Answers

The change in velocity is v – u, which is 30 – 10 = 20 m/s.

The acceleration is the change in velocity ÷ time, which is 20 m/s ÷ 4 s = 5 m/s2.

what is physical change​

Answers

Answer:a usually reversible change in the physical properties of a substance, as size or shape:

Freezing a liquid is a physical change.

Explanation:

HELP PLEASE!!!! 20 POINTS

Answers

It c Ven dos veces al día antes del ascensor.

Answer:

You are correct the answer is D

Brainliest will be appreciated thank you!

.)
What would the TABLE pane corresponding to the 2D MAP shown below look like?
latitude
30.2°
30°N
29.8°N
29.6°N
longitude
90.40
90.2°
90°W
89.8°
longitude : 89.6 W

Answers

Answer:

the correct answer is A the first map

trust i got a 100

Explanation:

Answers are the following:-

1. 33°N latitude, 112°W longitude ⇒ Phoenix, Arizona

2. 35°N latitude, 78°W longitude ⇒Raleigh, North Carolina

3. 46°N latitude, 96°W longitude ⇒ Fargo, North Dakota

4. 45°N latitude, 122°W longitude ⇒Portland, Oregon

5. 29°N latitude, 95°W longitude ⇒Houston, Texas

6. 43°N latitude, 79°W longitude ⇒Niagara Falls, New York

7. 25°N latitude, 80°W longitude ⇒ Miami, Florida

What is a longitude?

The term Longitude has been refered as the horizontal lines that are the measurement east or west of the prime meridian. Longitude are the imaginary lines that divide the Earth. Longitudes are also called the meridians, which run from north to south pole to pole but they measure the distance east or west.

The hypothesis that the species diversity is greater at lower latitudes than higher latitudes because low-latitude habitats are older would be supported if speciation rates were: the same at high and low latitudes.

Species diversity can be defined as the number of species, present in an area or the ecosystem. More are the number of species, more diverse is the area is. The richness and functionality of an ecosystem is estimated through its diversity.

Therefore,longitudes are the horizontal lines which divide the Earth.

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car starts from rest and reaches a velocity of 10 m/s in 10s a) Draw the v against t graph for the motion of the car? b) From the graph find: i) the slope of the graph. II) Area of the v against t graph bounded by the slope, on x-axis. c) What are the slope and area of v against t graph equal to respectively?​

Answers

Explanation:

여기 당신의 대답이 있습니다. 즐겨 . 팔로우하고 브레인리스트로 표시해주세요

Answer:

The above answer is correct too, keep busy

an atom with an overall negative charge is called?

Answers

Answer:

ANION is the answer

Ce unitate de masura are indicele de REFRACTIE?

Answers

Answer:se obesrva ca indicele de refractie NU are unitate de masura, este adimensional. Se exprima print-un raport, de exemplu 4/3, 1,5 etc.

Explanation:

Can I please get help with this?

Answers

the answer is B
hope you get grades

part 3 of 3
---
What is the velocity when t = 8 s?
Answer in units of m/s.
Answer in units of m/s

Answers

Answer:

1 m/s

(i think, *nervous sweat*)

Explanation:

We can tell this by looking at the graph. When t = 8, we will look at the time. We see that when the x (time) is 8, the velocity is 1 m/s.

Which is true for every atom of an element?

A.
It can be seen with a magnifying glass.

B.
It is joined together with another atom.

C.
It has mass and volume.

D.
It is weightless.

Answers

Answer:

A

Explanation:

Every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.

What is the matter?

Anything which has mass to keep the same when comparing the hardness of the solid and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

As given in the problem statement we have to find the true statement from the given options that is true for every atom of an element,

The size of an atom of an element is a very small order of magnitude so it can not be seen with a magnifying glass, therefore, option A is not the correct response.

Thus, every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.

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an empty boat floats in water with 10% of its volume submerged. and when it is loaded with 1200kg , the volume submerged will increase to 70% of the total volume . calculate the mass of the empty boat

Answers

Let volume of empty boat be = 100% = 1V

and mass of boat be M

In water 10%, 0.1V of the volume is submerged.

Mass, m of 1200kg increases the submerging from 10%, 0.1V to 70%, 0.7V

M leads to 0.1V boat submerging

boat submerging.

M + 1200kg leads to 0.7V boat submerging.

This is 60%, 0.6 V increase

By comparison

(M+1200kg) * 0.1V = 0.7V * M

0.1M + 120kg = 0.7M

120kg = 0.7M - 0.1M

120kg = 0.6M

M = (120/0.6)kg

M = 200kg.

The mass of the boat is 200kg.

Tìm quãng đường đi được
Biết V0=4m/s , a=1m/s , t=5s

Answers

Answer:

hii bee bbtym tayo as a friend huhuhuhu

The graph shows how the acceleration due to gravity inside and outside of Earth varies with radial distance away from Earth’s center of mass. Earth is assumed to be a perfect sphere of constant density.
a) Write the relation between "g" and "r" at region A.
b) Write the relation between "g" and "r" at region B.

Answers

up down all around

yuh i said

up down all around

Two cables are pulling on a box, sliding it across the (frictionless) floor. One cable
pulls to the east with a force of 3N, the other pulls to the north with a force of 4N.
If the box has a mass of 0.5kg, what is the net force and acceleration acting on this
box?

1) Net force is 7N, acceleration is 14 m/s/s

2) Net force is 7N, accelerations is 3.5 m/s/s

3) Net force is 5N, acceleration is 10 m/s/s

4)Net force is 5N, acceleration is 2.5 m/s/s

Answers

Answer:

Net force is 7N, accelerations is 3.5 m/s/s

Explanation:

When two atoms bond chemically it is because of the interaction between
A) the nuclei of each atom.
B) the protons in each atoms.
C) all electrons in the atoms.
D) the valence electrons in each atom.
Pls hurryyyy!!!

Answers

Answer:

Explanation:D

When two atoms bond chemically it is because of the interaction between the valence electrons in each atom because only the valence electrons of an atom are responsible for the chemical activity.

Therefore the correct answer is option D.

What is a chemical reaction?

A chemical reaction is a process in which one or more substances, also known as reactants are converted to one or more different substances, known as products.

Because only an atom's valence electrons are responsible for the chemical activity and because the quantity of valence electrons indicates an atom's valency,

Valency is a highly important requirement for the chemical reactivity of any element, two atoms connect chemically as a result of their contact.

Thus, the correct answer is option D.

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Max ran 100 feet in 10 seconds.
Molly ran 60 feet in 5 seconds.

1. Who ran farther, Max or Molly?

2. Who ran faster? Explain.

Answers

Answer:

for max :

100 feet in 10 secs

for molly :

60 feet in 5 secs = 120 feet in 10 secs

so, molly ran farther in the same time interval i.e. covered 120 feet where as Max covered 100 feet

Explanation:

brainliest plz

Answer:

1 no Max

2 no Molly

Explanation:

because if molly can run 60 feet in 5 second he can run 120 feet in 10 second

springs can stretch; so can different materials, including

Answers

…………….ur mom…………. ‍♀️

10. Analyze What is the wavelength of these waves?

Answers

Answer:

Wavelength is the distance between the two closest points that are in phase with each other along a wave.

Explanation:

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