AP Physics Question 3

A planet has two moons, Moon and Moon , that orbit at different distances from the planet’s center, as shown.
Astronomers collect data regarding the planet, the two moons, and their obits. The astronomers are able to estimate
the planet’s radius and mass.

3. The masses of the two moons are determined to be for Moon and for Moon . It is observed that
the distance between Moon and the planet is two times that of the distance between Moon and the
planet. How does force exerted from the planet on Moon compare to the force exerted from the planet on
Moon ?

The gravitational force exerted from the planet on Moon is two times larger than the gravitational force
exerted from the planet on Moon .
B
The gravitational force exerted from the planet on Moon is eight times larger than the gravitational force
exerted from the planet on Moon .
C
The gravitational force exerted from the planet on Moon is two times smaller than the gravitational force
exerted from the planet on Moon .
D
The gravitational force exerted from the planet on Moon is eight times smaller than the gravitational force
exerted from the planet on Moon .

Answers

Answer 1

Gravitational force increases as the mass increases and decreases as the distance between the bodies is increased.

The correct option is; The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B.

Reasons:

The given parameters are;

The moons of the planet = Moon A and Moon B

Mass of Moon A = 2·M

Mass of moon B = M

The distance between Moon B and the planet = 2 × The distance between Moon A and the planet

Required:

Comparison (compare) of the force exerted from the planet on Moon A and Moon B.

Solution:

The force, F, exerted from the planet is the gravitational force which is given by Newton's Law of Gravitation as follows;

[tex]\displaystyle F = \mathbf{G \cdot \frac{M_{planet} \times M}{R^2}}[/tex]

Where;

G = Universal gravitational constant

[tex]M_{planet}[/tex] = Mass of the planet

M = Mass of the Moon

R = The distance from the planet to the Moon

For Moon A, we have;

Mass = 2·M

Distance = R

Which gives;

[tex]\displaystyle F_A = G \cdot \frac{M_{planet} \times 2\cdot M}{R^2} = 2\cdotG \cdot \frac{M_{planet} \times M}{R^2} = \mathbf{2 \cdot F}[/tex]

With Moon B, we have;

Mass = M

Distance = 2·R

Therefore;

[tex]\displaystyle F_B = G \cdot \frac{M_{planet} \times M}{(2 \cdot R)^2} = G \cdot \frac{M_{planet} \times M}{4 \cdot R^2} = \frac{1}{4} \cdot G \cdot \frac{M_{planet} \times M}{R^2} = \mathbf{\frac{1}{4} \cdot F}[/tex]

Which gives;

[tex]\displaystyle \frac{F_A}{F_B} = \frac{2 \cdot F}{\frac{1}{4} \cdot F } =2 \times \frac{4}{1} = \mathbf{8}[/tex]

[tex]\displaystyle \frac{F_A}{F_B} = 8[/tex]

[tex]F_A = \mathbf{8 \times F_B}[/tex]

The force from the planet on Moon A, [tex]F_A[/tex], is 8 times the force from the planet on Moon B.

Therefore, whereby option B is;

The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B.

The correct option is option B

Learn more about Newton's Law of gravitation here:

https://brainly.com/question/18670622


Related Questions

Directions: Read each statement and determine if it is describing speed or
velocity. Write your answer on the space provided before the number.
1. Jackson ran 5k in 24 minutes.
2. A storm is travelling 25 km/hour eastward.
3. John walked 420 m in 17.5 seconds.
4. Zart moved the desk 34 cm to the left.
5. A hurricane travels 360 km in 15 hours.
6. Meredith runs 400 meters in 50 seconds.
7. Stephen Jay swims 110 m towards the shore in 72 seconds.
8. Vince throws a baseball 38 m from third base to first base in 1.7 seconds.

Answers

Answer:

Find answers below.

Explanation:

Velocity can be defined as the rate of change in displacement (distance) with time. Velocity is a vector quantity and as such it has both magnitude and direction.

Mathematically, velocity is given by the equation;

[tex]Velocity = \frac{distance}{time}[/tex]

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

1. Speed: Jackson ran 5k in 24 minutes.

2. Velocity: A storm is travelling 25 km/hour eastward.

3. Speed: John walked 420 m in 17.5 seconds.

4. Velocity: Zart moved the desk 34 cm to the left.

5. Speed: A hurricane travels 360 km in 15 hours.

6. Speed: Meredith runs 400 meters in 50 seconds.

7. Velocity: Stephen Jay swims 110 m towards the shore in 72 seconds.

8. Velocity: Vince throws a baseball 38 m from third base to first base in 1.7 seconds.

8.
2
AI
6
HCI
AICI:
+
H



Answers

Answer:

I'm sorry I can't help you...

What has increased the concentration of atmospheric carbon dioxide (CO2)?

Answers

Answer:

Carbon dioxide concentrations are rising mostly because of the fossil fuels that people are burning for energy.

Which three parts of the graph’s curve represent the solid, liquid, and gaseous state of water? Explain your reasoning.

Answers

B,C,D maybe

Explanation:

plz dont get mad

The person above me is right I hope you can give the person brainly I hope you all have a wonderful day❤️

PLEASEHELP THANK YOU SM

Answers

Answer:

I belive it would be the first answer choice.

Explanation:

When the Mass is lower, the ball moves faster so it would have more kintetic energy

yeah the answer would be the first one :)

PLEASE HELP ME ASAP!!!

Answers

Answer:

90

Explanation:

The portion where gas turns to liquid

Explain what ionisation is and why it is dangerous

Answers

Ionisation: the loss or gain of an electron

It is dangerous because cells that have been ionised can either die, or can mutate incorrectly, which might cause cancer.

Write the word conduction, convection or radiation in the blanks in front of 1-13
1.
Walking on the hot sand on a beach
2.
A ceiling fan forcing the warm air downward.
3.
Feeling heat from a campfire.
Chocolate candy melting in your hand.
5.
Air in the atmosphere rising and falling.
6.
Heat from the sun warming a swimming pool.
7.
Changing a light bulb while it's still hot.
8.
Heat from the hood of a car when you touch it.
9.
Feeling the heat from a stove burner without touching it.
10.
Boiling water moving in a circular motion
11. Energy that is transferred in waves or particles.
12. Energy that is transferred by direct contact.
13. Energy that is transferred through a fluid where hot rises and cold
sinks.

Answers

Answer:

1. conduction

2. convection

3. radiation

4. conduction

5. convection

6. radiation

7. conduction

8. conduction

9. radiation

10. convection

11. radiation

12. conduction

13. convection

10. Which of the following is an electrical insulator?
A. a penny
B. a bike chain
C. a tree
D. a gold tooth

Answers

Answer:

c

Explanation:

every other option is a conductor

If an acid and a base react, the product(s) will be ____.
A salt
Neutral water
A salt and water
A metal and water

Answers

I’m pretty sure that if an acid and base react the products will be a salt

the girl has a weight of 72N on moon.what will be the mass and the weight of the girl on earth.(use g earth=10m/s 2/g 9 moon=1.6m/s 2)​

Answers

Answer:

F(m)= mg(m)

m=F(m)/g(m)=72/1.6=45kg

F(e)= mg(e)= 45 x 10 m/s= 450N

AP Physics Question

An amusement park ride consists of a large vertical wheel of radius that rotates counterclockwise on a horizontal
axis through its center, as shown above. The cars on the wheel move at a constant speed . Points and
represent the position of a car at the highest and lowest point of the ride, respectively. A person of weight sits
upright on a seat in one of the cars. As the seat passes point , the seat exerts a normal force with magnitude
on the person. While passing point , the person releases a small rock of mass , which falls to the ground
without hitting anything.

2. Which of the following best describes the passenger’s linear and angular velocity while passing point ?

A
Linear Velocity Angular Velocity
Constant Changing

B
Linear Velocity Angular Velocity
Constant Constant

C
Linear Velocity Angular Velocity
Changing Changing

D
Linear Velocity Angular Velocity
Changing Constant

Answers

The linear velocity is changing and the angular velocity is Constant best describes the passenger’s linear and angular velocity while passing a point.

What is the definition of Angular velocity?

The rate of change of angular displacement is defined as angular speed, and it is stated as follows:

ω = θ t

Where,

θ is the angle of rotation,

t is the time

ω is the angular velocity

The linear velocity is given as the product of angular velocity and radius.

v=ωr

In the circular motion, the linear velocity is changing. Because the radius is changing.While the angular velocity is constant.Because it is an independent quantity.

Hence the Linear velocity is changing and the angular velocity is Constant best describing the passenger’s linear and angular velocity while passing a point.

To learn more about the angular velocity refer to the link;

https://brainly.com/question/13649539

When naming the compound containing lithium and chlorine, change the
suffix of the anion's name to
O A. ide
B. ite
C. cation
D. anion

Ape_x

Answers

Answer: Ide

Explanation:

Just got it right on the quiz

Answer:Ide

Explanation: thats the answer for a pex

HELP!!! I MIGHT FAIL THE 6th GRADE IF I DON'T GET HELP!!!! The southern United States experiences periodic occurrences of severe cold and drought conditions. Which weather phenomenon most likely causes this and why?

Answers

Answer:

La Niña, because the jet stream is displaced northwards

Explanation:

La Nina is known to be a cool phase that affects the average ocean temperature. During this period the surface wind becomes stronger and there is lesser rainfall over the areas of the central tropical Pacific to which the Southern United States belongs.

Hence, when the southern United States experiences periodic occurrences of severe cold and drought conditions, the weather phenomenon most likely causes this and why is "La Niña, because the jet stream is displaced northwards."

What happens when cooler downdrafts inside a supercell move across the edge of an upward moving mesocyclone?
A. A supercell
B. A me so cyclone
C. A tornado
D. A hurricane

Answers

That would make a tornado.

Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them. How far apart are these charges?

Answers

Answer:

r = 0.2499 m

Explanation:

Use Coulomb's Law: [tex]F_{e} = kq_{1}q_{2} / r^{2}[/tex] where Fe is the electric force, q1 and q2 are the 2 charges respectively, k is a constant (8.99*10^9 N • m^2 / C^2) and r is the distance.

[tex]3.6 N = (8.99*10^{9})(5*10^{-6})(5*10^{-6}) / r^{2}[/tex]

r = 0.2499 m

The distance that should be apart from these charges should be considered when the r = 0.2499 m.

Calculation of the distance apart:

Since

Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them

So

here we use Columb law

Electric force = k * two charges * two charges)r^2

3.6 N = (8.99*10^9) * ( 5 * 10^-6) * (5*10^-6)r^2

r = 0.2499 m.

Hence, The distance that should be apart from these charges should be considered when the r = 0.2499 m.

Learn more about force here: https://brainly.com/question/15866225

17) An object is being pulled in two different directions by two students. One student pulls to the left with 12 N
and the other pulls to the right with 15 N. What is the net force on the object?
a) 27 N right.
b) 3 N right
c) 2 N left.
d) 3 N left.

Answers

Pretty sure it’s d because 15N - 12N= 3N probably not right considering I haven’t done in class physics in almost 2 years

If the area of a concrete slap weighing 300n is 400cm2 ,how much pressure can it apply when kept on the ground

Answers

Answer:

7500 N/m²

Explanation:

From the question given above, the following data were obtained:

Force (F) = 300 N

Area (A) = 400 cm²

Pressure (P) =?

Next, we shall convert 400 cm² to m². This can be obtained as follow:

1×10⁴ cm² = 1 m²

Therefore,

400 cm² = 400 cm² × 1 m² / 1×10⁴ cm²

400 cm² = 0.04 m²

Finally, we shall determine the pressure. This can be obtained as follow:

Force (F) = 300 N

Area (A) = 0.04 m²

Pressure (P) =?

P = F/A

P = 300 / 0.04

P = 7500 N/m²

Which two statements best explains how observations of the spectra of light from galaxies are used to support current theories of the origin and evolution of the universe?
A: Galaxies that are further away tend to have larger redshifts
B: the blueshift observed from distant galaxies indicate that galaxies remain stationary relative to earth
C: the redshift observed from nearby galaxies indicates that most galaxies remain stationary relative to earth
D: the blueshift observed from nearby galaxies indicates that the solar system is orbiting a black hole
E: the redshift observed from distant galaxies indicates that they are moving away faster than nearby galaxies

Answers

I think is a ,,,,,,,,,,,

A 50kg gymnast is bouncing on a trampoline. If she is going down at 5m/s when she lands on the trampoline, and it bouncesher up in the opposite direction at a velocity of 4m/s, whatis her change in momentum?

Answers

Answer:

450 kgm/s upward

Explanation:

From the question,

Change in monentum = mass× change in velocity

ΔM = mΔv....................... Equation 1

ΔM = m(v-u).................. Equation 2

Where ΔM = Change in momentum, m = mass of the gymnast, v = final velocity, u = initial velocity

Given: m = 50 kg, v = -4 m/s. u = 5 m/s

Substitute these values into equation 2

ΔM = 50(-4-5)

ΔM = 50(-9)

ΔM = -450 kgm/s

Hence the change in momentum of the gymnast is 450 kgm/s upward

Two air craft P and Q are flying at the same speed 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of velocity of the air craft P relative to air craft Q

Answers

Answer:

424.26 m/s

Explanation:

Given that Two air craft P and Q are flying at the same speed 300m/s. The direction along which P is flying is at right angles to the direction along which Q is flying. Find the magnitude of velocity of the air craft P relative to air craft Q

The relative speed will be calculated by using pythagorean theorem

Relative speed = sqrt(300^2 + 300^2)

Relative speed = sqrt( 180000 )

Relative speed = 424.26 m/s

Therefore, the magnitude of velocity of the air craft P relative to air craft Q is 424.26 m/s

A student has two identical sheets of paper. He crumples one up into a small ball. If he drops the sheet of paper and the ball of paper off a building at the same time, which of the following statements describes the result?
A. The sheet of paper because it is more affected by gravity.
B. The ball of paper hits the ground first because it is more affected by gravity
C. The sheet of paper and the ball of paper hit the ground at the same time.
D. The ball of paper hits the ground first because it has less surface area.​

Answers

Answer:

B

Explanation:

basically, because the ball "weighs" more now, it will hit the ground quicker. so technically gravity is more affective towards it. the piece of paper kind of floats it's way down. gravity isn't pushing on one force more, but because because the ball weighs more, it technically would be said so. hope this helps!

Answer:

the ball of paper, because it has less surface area.

Explanation:

What's Inertia ????☁️☁️​

Answers

Explanation:

the inability to change the position from rest to motion or motion to rest by themselves is inertia.

Answer:

Inertia is the property of a body in rest to resist motion or a body in motion to continue to its state of motion unless acted by external forces.

number of atoms of each element Sulfur dioxide?​

Answers

Answer:

Element Symbol # of Atoms

Oxygen O 2

Sulfur S 1

Explanation:

Convert 350.0mL at 740 K to its new volume at standard temperature

Answers

Answer:

129.12 ml

Explanation:

If answer is correct feel free to replay me for explanation.

1.A motorcycle’s velocity at the top of the hill is 11.0 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 20.0 m/s. What is the acceleration of the motorcycle?

2.A motorcycle’s velocity at the top of the hill is 11.0 m/s. 4.0 seconds later it reaches the bottom of the hill with a velocity of 20.0 m/s. What is the acceleration of the motorcycle?

Answers

Answer:

1) as far as I remember

Let's take 20 as vf (final velocity) and 11 as (initial velocity) and 4 as time

So we would use this formula a=vf-vi/t

So 20-11/4

Asnwer 2.25


Two magnets are attracting each other. One magnet is big and strong; the other is small and weak. The big magnet attracts the small magnet with:

Answers

Answer:

magnetism and dipole-dipole interaction

Explanation:

Two magnets are attracting each other, one magnet is big and strong, the other is small and weak, the big magnet attracts the small magnet with a stronger force, and the attraction depends on the size of the magnet.

What is the significance of the magnet and magnetic fields?

The attraction between two magnets varies, and that depends upon several factors such as the strength of the force of attraction, which determines the usefulness and functionality of magnets, for example, in industrial settings, strong magnets are often used to lift heavy loads, etc.

Hence, two magnets are attracting each other, one magnet is big and strong, the other is small and weak, the big magnet attracts the small magnet with a stronger force, and the attraction depends on the size of the magnet.

Learn more about the magnet and magnetic fields here.

https://brainly.com/question/14848188

#SPJ2

What is the energy conversion in an incandescent lightbulb?​

Answers

Answer:

An incandescent bulb use electrical energy

Explanation:

What is the nergy of a wave that has a
frequency of 6.32 x 10^20 Hz?

Answers

here you go thank bob not me he will be very thankful

What chemical change occurs to animals and plants once they are no longer living?

Burning
Cooking
Decaying
Folding

Answers

Yes this should be right

Answer:

Decaying

Explanation:

Dead plants and animals go through decaying process as their body is broken down into many pieces which later becomes the part of soil. Decaying process is done by decomposers like bacteria, fungi, etc.

Other Questions
WhatThe differee between Riversible Inhibition andirrversibel Inhibition If the area of a concrete slap weighing 300n is 400cm2 ,how much pressure can it apply when kept on the ground if there are 12 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made. Match each object to its definition.A. meteoriteB. meteoroidC. meteor->1. The remains of a rock from space that strikes Earths surface2. A rock that burns up in Earths atmosphere 3. A small piece of rock in space Match the following.1.slaverythe act of one country imposing its will over another byeconomic or military meansan agreement that commits one person to another as masterand slave2.jizya3. a tax levied on non-MuslimsMing Dynasty4.imperialism5.the series of Korean rulers from 1392 to 1910 that wasfounded by Lee Seong-gyethe series of Chinese rulers from 1368 to 1644 that wasfounded by Zhu Yuanzhangsomething that can cause a disease, such as a virus orbacteriaindenture6.Joseon Dynasty7. the act of one person owning another for workpathogen When authors write, why do they consider the connotation of words? Name two components of gis Four triangles are shown. Based on these triangles, which statement is true? I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful. 16Select the correct answer.Which verb phrase correctly completes this sentence?Durante los prximos meses ella y yopor toda Sudamrica.O A.estar viajandoOB.estars viajandoOC.estaremos viajandoOD.estarn viajandoResetNext Why might a caregiver treat a hospital bed as a biohazard?O A. If a hospital bed hasn't been used recently, it's considered abiohazard.B. If a patient's bodily fluids get on the bed, it's considered abiohazard.C. A hospital bed is considered a biohazard when patients spill foodor drink on it.D. A hospital bed is always considered a biohazard, regardless ofwhat gets on it The net of a rectangular prism is shown below. Each square represents 1 square unit. What is the total surface area of the net shown? Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area? 2) Compare the size and population of South Asia to that of the United States. Which is larger in terms of population? The ratio of the angles of a triangle is 3:7:2. What is the measure of the largest angle? Which words identify types of supporting details? Select all that apply. A coin is tossed 4 times. Find the probability that a maximum of one head (exactly one head or no head) turns up. (A) 0.375 (B) 0.25 (C) 0.50 (D) 0.0625 (E) 0.3125 How does Truth use her personal experiences tomake a logical and emotional case for women'srights? The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer. The triangles are congruent by SSS or HL.Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.Which transformation(s) can map TriangleMNQ onto TrianglePQN?translation onlyreflection onlyrotation, then reflectionrotation, then translation