Two asteroids with masses 5.34 x 103 kg and 2.06 x 104 kg are separated by a distance of 5,000 m. What is the gravitational force between the asteroids? Newton's law of gravitation is F gravity Gmim. The gravitational constant Gis 6.67 x 10-11 N-m²/kg2. A. 400N B. 1.24 x 1032 N C. 1.47 x 10-6 N D. 2.93 x 10-10 N​

Answers

Answer 1

Answer:

[tex]F=2.93\cdot 10^{-10}~N[/tex]

Explanation:

Newton’s Law of Universal Gravitation

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.

[tex]\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]

Where:

m1 = mass of object 1

m2 = mass of object 2

r     = distance between the objects' center of masses

G   = gravitational constant: [tex]6.67\cdot 10^{-11}~Nw*m^2/Kg^2[/tex]

The asteroids have masses of [tex]m1=5.34\cdot 10^{3}~Kg[/tex] and [tex]m2=2.06\cdot 10^{4}~Kg[/tex] and are separated by r=5,000 m.

Calculating the gravitational force:

[tex]\displaystyle F=6.67\cdot 10^{-11}~Nw*m^2/Kg^2~{\frac {5.34\cdot 10^{3}~Kg \cdot2.06\cdot 10^{4}~Kg}{5,000^{2}}}[/tex]

Calculating:

[tex]\mathbf{F=2.93\cdot 10^{-10}~N}[/tex]

Answer 2

Answer:

D. 2.93 x 10-10 N​

Explanation:

Answer got deleted? Dont delete my answer 'katie'

btw got it right


Related Questions

F = M x G

Find the force of gravity acting upon a 1500Kg Hippopatamus.

Answers

Answer:........... .. .....

An airplane is flying with velocity of 70km\hr in north east direction .The wind is blowing 30km\hr from north to south.What is the resultant displacement of the aeroplane in 4 h

Answers

Answer:

The resultant displacement of the airplane in 4 hours is 212.8 km.

Explanation:

The components of the airplane's velocity and wind's velocity are:

Airplane:

[tex] v_{a_{x}} = v_{a}cos(45) = 70 km/h*cos(45) = 49.50 km/h [/tex]

[tex] v_{a_{y}} = v_{a}sin(45) = 70 km/hsin(45) = 49.50 km/h [/tex]

Wind:

[tex] v_{w_{x}} = 0 [/tex]

[tex] v_{w_{y}} = v_{w} = -30 km/h [/tex]

Now, to know the new velocity of the airplane we to find the result vector:

[tex] v_{x} = v_{a_{x}} + v_{w_{x}} = 49.50 km/h + 0 = 49.50 km/h [/tex]

[tex]v_{y} = v_{a_{y}} + v_{w_{y}} = 49.50 km/h - 30 km/h = 19.50 km/h[/tex]  

Now, the magnitude of the new speed of the airplane is:

[tex] v_{a} = \sqrt{v_{x}^{2} + v_{y}^{2}} = \sqrt{(49.50 km/h)^{2} + (19.50 km/h)^{2}} = 53.20 km/h [/tex]

Finally, after 4 hours the resultant displacement of the airplane is:

[tex] x = v*t = 53.20 km/h*4 h = 212.8 km [/tex]

Therefore, the resultant displacement of the airplane in 4 hours is 212.8 km.

I hope it helps you!                                        

A car traveling at 25 m/s speeds up to 30 m/s over a period of 5 seconds. The average acceleration of the car is?

Answers

Answer:

a= 1 m/s^2

Explanation:

Average acceleration can be found by dividing the change in velocity by the time.

a= ΔV/t

The change in velocity is the difference of the final velocity and initial velocity.

ΔV= final velocity - initial velocity

The final velocity is 30 m/s and the initial velocity is 25 m/s

ΔV= 30 m/s- 25 m/s

ΔV= 5 m/s

The time is 5 seconds.

Now we know the two values.

ΔV= 5 m/s

t= 5 s

Substitute the values into the formula.

a= 5 m/s / 5 s

Divide.

a= 1 m/s/s

a= 1 m/s^2

The average acceleration of the car is 1 meter per second squared.

Two forces of magnitude 40N and 70N acts on an object calculate and write the resultant force acting on the object and the resultant a
direction of force when both the force act in opposite direction

A) 70N in the direction of lesser force

B) 110N,opposite direction

C) 30N,in the direction of the greater force

D) 30N in the direction of lesser force​

Answers

Explanation:

Required Answer

70N-40N=30N

30N in lesser force

What is the voltage drop across the 10.0 Ω resistor?

Answers

Answer:

its 120 C

Explanation:

its 120 C

The voltage drop across the 10.0 Ω resistor is c)120V

What is voltage drop in a circuit ?

Voltage drop is the decrease of electrical potential along the path of a current flowing in an electrical circuit.

since , all three resistors 10Ω , 20 Ω and 30Ω are in series combination

this implies that voltage drop across each resistor will be same as the total voltage drop in the circuit because in parallel combination voltage remain same in the circuit buy current get divided in each branch  

hence , the voltage drop across the 10.0 Ω resistor = 120 V

  correct answer c) 120 V

learn more about voltage drop :

https://brainly.com/question/14421387?referrer=searchResults

#SPJ2

help!


Jerome solves a problem using the law of conservation of momentum. What should

Jerome always keep constant for each object after the objects collide and bounce apart?


velocity

mass

momentum

direction

Answers

Answer:

What shouldJerome always keep constant for each object after the objects collide and bounce apart? That would be Mass.

Answer:

B: Mass

Explanation:

A motorcyclist sees a branch in the road and hits the brakes, slowing down at -6.42 m/s. if it takes him 2.85 seconds to stop, what was his starting velocity?

Answers

Use the definition of average acceleration:

a = ∆v / t

If v is the starting speed, then ∆v = 0 - v, so solve for v :

-6.42 m/s² = (0 - v) / (2.85 s)

v = (6.42 m/s²) (2.85 s)

v ≈ 18.3 m/s

Two children are spinning on a miracle round. What is 50 cm from the center and the other is 100 cm from the center. Which child has the larger linear speed?

Answers

Answer:

The one that is 100 cm from the center.

Explanation:

Given that merry-go-round means moving at uniform circular motion or constant angular speed. Hence the person who is closer to the center is moving at a slower speed, while the one far away from the center has a larger linear speed because he has moved a long distance in the same amount of time, despite being on these objects.

To illustrate

A with the 50 cm

B with the 100 cm

Hence, to get speed, we have

A = 2 * pi * 50 / T

B = 2 * pi * 100 / T

And by the explanation of angular speed

We have w = 2*pi/T where w is the angular speed in radians/s

Hence we have

A = 50w

B = 100w

Therefore, the one that is 100 cm from the center has a larger linear speed.

Definition of uniform speed​

Answers

Answer:

Uniform Speed: A body is said to be moving with uniform speed, if it covers equal distances in equal intervals of time. Variable Speed: A body is said to be moving with variable speed if it covers unequal distances in equal intervals of time.

Explanation:

I got it from google

Answer:

Speed is a measure of how fast an object is moving at a given instant of time. It is a scalar quantity. Its unit is m/s. For a body covering equal distances in equal time intervals, the speed is called uniform speed.

Explanation:

A motorbike is traveling to the left with a speed of 27.0 m s 27.0 s m ​ 27, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction when the rider slams on the brakes. The bike skids 41.5 m 41.5m41, point, 5, start text, m, end text with constant acceleration before it comes to a stop. What was the acceleration of the motorbike as it came to a stop?

Answers

Answer:

Explanation:

Initial velocity , u = 27 m/s

displacement before stop,  s = 41.5 m .

final velocity,  v = 0

acceleration a = ?

v² = u² + 2 a s

0 = 27² + 2 x a x 41.5

a = - 27² / 2 x 41.5

= - 8.78 m /s

Question 13 (1 point)
The genetic material of an offspring of sexually reproducing organisms is best described as-
a
Ob
identical to that of the other offspring
a copy of the genetic material of the father.
a copy of The genetic material of the mother
genes from both parents, in unique combinations
ос
Od

Answers

genes from both parents, in unique combinations

The genetic material of an offspring of sexually reproducing organisms is best described as genes from both parents in unique combinations.

SEXUAL REPRODUCTION:

Sexual reproduction is a type of reproduction that involves two organisms (a male and a female).

The male organism produces a gamete called SPERM while the female organism produces a gamete called EGG. The gametes are produced via a process called MEIOSIS.

Meiosis is a process of cell division whereby genetically different daughter cells are produced. The genetic variation is attributed to a process called crossing over, which is the exchange of genetic material between non-sister chromatids of homologous chromosomes.

At the end of the fertilization process between male sperm and female egg, the genetic material of the offspring will contain genes from both parents in unique combinations.

Learn more at: https://brainly.com/question/11622266?referrer=searchResults

Why is the Earth generally warmer at the equator than at the poles?

Answers

Because of the earths curve and temperature. The temperature in an area depends on the amount of the Sun's energy reaching the surface in that area. The equator tilts closer to the sun than the poles do. I hope this helps!

Answer: The Sun's energy is more concentrated on the equator than the poles. This is because the Sun's energy (in the form of warmth) is more direct at the equator, and less direct at the poles.

Explanation: You can see this with a flashlight. When you point the flashlight directly toward a tale, the light is very concentrated and right. However, when you point the flashlight toward the table at an angle, the light becomes more spread out and less concentrated.  This is why even though sometimes the North Poles and South Poles have 24 hours of sunlight, it never actually reaches a high temperature and instead, keeps it's cold temperature.

How much force must a 40,000 W engine exert to get a car up to 75 m/s?​
Edit: Answer - 533N

Answers

Answer:

Force = 533.33N

Explanation:

Given the following data;

Power = 40000watt

Velocity = 75m/s

To find the force;

[tex] Power = force * velocity [/tex]

Making force the subject of formula, we have;

[tex] Force = \frac {Power}{velocity}[/tex]

[tex] Force = \frac {40000}{75} [/tex]

Force = 533.33N

Please help me out if you want brainliest !!!!! ASAP easy

Answers

Answer:

Road A = 8 meters Wet

Road B = 2 meters Muddy

Road C = 12 meters Dry

Explanation:

HURRY 15 POINTS
The third most populated country in the world is __________. A. China B. India C. Canada D. the United States Please select the best answer from the choices provided A B C or D. Only pick one. this is from edunity.

Answers

Answer:

D. The United States

Explanation:

D the United States hope this helps

Why is my life like this

Answers

Answer:

stop it get some help

:)

Explanation:

Answer:

My life be like oooh ahhh ooh ah

Plz help me answer this!!!

Answers

Answer:

C. the break down of food to create energy in the presence of oxygen

Explanation:

Can you please help I’m sorry I promise this is the last time

Answers

Answer:

?

Explanation:

A car of mass 1470 kg is on an icy driveway
inclined at an angle of 40◦. The acceleration of gravity is 9.8 m.
If the incline is frictionless, what is the acceleration of the car Answer in units of m/s

Answers

Answer:

  a = 7.5 m / s²

Explanation:

For this exercise let's use Newton's second law, let's create a coordinate system with the x axis parallel to the plane and the y axis perpendicular to the plane

Y axis

       N - W cos θ = 0

       N = mg cos θ

X axis

       W sin θ = m a

 

       mg sin θ = m a

        a = g sin θ

let's calculate

        a = 9.8 cos 40

        a = 7.5 m / s²

state three ways of conserving energy​

Answers

energy drinks

sitting

watching TV

Answer:

use natural lights

turn off electrical appliances..if not in use

check your wires every next Month



During a laboratory experiment, the temperature of the gas in a balloon is varied and the

volume of the balloon is measured.

A)

Which quantity is the independent variable?

B)

Which quantity is the dependent variable?

Answers

A. The IV is the temperature of gas in the balloon.

B. The DV is the volume of the balloon.

This is because the temperature of the gas is the variable being manipulated in the experiment (Independent) and the volume is changing based on the shifts of the temperature (thus volume is Dependent).

what are the Standard System of unit​

Answers

Answer:

SI

Explanation:

Witch statement about electric force is true?

Answers

Please give me the statement :)

the velocity of a car changes from 5 m/s to 20 m/s in 30 sec the acceleration?​

Answers

Answer:

0.5m/s2

..............

a = vf -vi/t
Velocity final - velocity initial/ time
(20 m/s - 5 m/s)/ 30s
15 m/s/ 30s = 0.5 m/s^2

Find the horizontal and vertical components of 75.0 N at 65 degrees

Answers

Horizontal component = 75 · cosine(65°)  =  31.7 N  

Vertical component = 75 · sine(65°)  =  68.0 N

A space shuttle travels around the Earth at a constant speed of 28000 kilometers per hour. If it takes 90 minutes to complete one orbit, how far is its journey around Earth?
I need the answer ASAP!

Answers

9 minutes (1 hour 30 minutes)

28000 x 1(hour) = 28000
28000 /2 (30 minutes) = 14000

28000 + 14000 = 42000(kilometers)

Answer = 42000km

PLEASE

HELP!!!

Jacob and Matthew are pulling a 20 kg box filled with chocolate along the ground, while Savannah is trying to pull it back in the other direction. Jacob is pulling with 50 N, Matthew with 40 N, and Savannah is pulling with 60 N in a negative direction. Draw an FBD; it should have 5 forces on it. Find the net Force. Then calculate the acceleration of the box. Lastly, calculate the acceleration if Mathew decides to run for his life and stop pulling.

Answers

Explanation:

N/B: Please see attached a rough sketch of the free body diagram for your reference.

From the diagram, the weight W is acting downward and the resultant R is in the positive direction

Given data

mass m=20kg

Forces

Jacob is pulling with 50 N,

Matthew with 40 N, and

Savannah is pulling with 60 N in a negative direction

Required

The net force

Net force= 50+40-(60)

               =90-60

               =30N in the possitive direction(in Jacob and Mathew's direction)

we know that F=ma

a=F/m

a= 30/20

a=1.5m/s^2

if Mathew decides to run for his life and stop pulling the net force will be

Net force=50-60=-10N (in Savannah's direction)

a=F/m

a=10/20

a=0.5m/s^2

A stone falls freely from rest for 8.0s what is it final velocity

Answers

Is that the full question?

Critical Thinking Questions - Part II
1. Restate Newton's first law in terms of (a) acceleration and (b) change in velocity.

Anyone please help ASAP?????

Answers

Answer:

An object will continue in its state of motion unless an unbalanced

force is acting on it.

As stated in the first law, the presence of an unbalanced force will accelerate an object - changing either its speed, its direction, or both its speed and direction.

Explanation:

Look at my comment I think it would help.

can somone pls help me??!! i’m very stuck

Answers

Answer:

graph b

Explanation:

graph a isnt constant

graph c is slower (less steep slope)

graph d is slowing down (starts high ends low)

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