An asteroid orbits the Sun every 176 years. What is the asteroids average distance from the Sun? P ^ 2 = a ^ 3 where p = period in years and average orbital distance in AU 233 years 1.46 AU 5.45 years 3.09 years

Answers

Answer 1

Answer:

The value is  [tex]x = 45.99 \ Au[/tex]

Explanation:

From the question we are told that

   The period of the  asteroid is   [tex]T = 176 \ years = 176 * 365 * 24 * 60* 60 = 5.55*10^{9}\ s[/tex]

Generally the average distance of the asteroid from the sun is mathematically represented as

            [tex]R = \sqrt[3]{ \frac{G M * T^2 }{4 \pi} }[/tex]

Here M is the mass of the sun with a value  

        [tex]M = 1.99*10^{30} \ kg[/tex]

         G  is the gravitational constant with value  [tex]G = 6.67 *10^{-11} \ m^3 \cdot kg^{-1} \cdot s^{-2}[/tex]

           [tex]R = \sqrt[3]{ \frac{6.67 *10^{-11} * 1.99*10^{30} * [5.55 *10^{9}]^2 }{4 * 3.142 } }[/tex]

=>       [tex]R = 6.88 *10^{12} \ m[/tex]

Generally

         [tex]1.496* 10^{11} \ m \to 1 Au (Astronomical \ unit )[/tex]

So

          [tex]R = 6.88 *10^{12} \ m \ \ \ \ \to \ \ x \ Au[/tex]

=>      [tex]x = \frac{6.88 *10^{12}}{1.496 *10^{11}}[/tex]

=>       [tex]x = 45.99 \ Au[/tex]

       


Related Questions

A student wearing a frictionless roller skates on a horizontal is pushed by a friend with a constant force of 55N. How far must the student be pushed, starting from rest, so that her final kinetic energy is 362 J

Answers

Answer:

6.58m

Explanation:

The kinetic energy = Workdone on the roller

Workdone = Force * distance

Given

KE = Workdone = 362J

Force = 55N

Required

Distance

Substitute into the formula;

Workdone = Force * distance

362 = 55d

d = 362/55

d = 6.58m

Hence the student must push at a distance of 6.58m

How much force is needed to accelerate a 9,760 kg airplane at a rate of 4.4 m/s2?

Answers

Answer:

42,944

Explanation: 9,760 kg * 4.4 m/s2 = 42,944

What has more energy a 2 kg mass at 10 m/s or a 2 kg mass 5 m above the ground

Answers

Answer:

Both have same energy

Explanation:

Given:

Sample 1

Mass m = 2 kg

Velocity v = 10 m/s

Sample 2

Mass m = 2 kg

Height h = 5 m

Assume g = 10 m/s²

Find:

What has more energy

Computation:

In sample 1

Ke = 1/2(m)(v)²

Ke = 1/2(2)(10)²

Ke = 100 joule

In sample 2

Pe = mgh

Pe = (2)(10)(5)

Pe = 100  joules

Both have same energy

why we can not measure the total amount of heat energy that a body contains​

Answers

Answer:

... As has been previously discussed, heat is not something that is contained in an object.

Explanation:

3. A dog walks a distance of 100 ft. in 20 s of time. What is the dog's
speed in feet per second?
O C 120 ft/s
O B80 ft/s
O D 2000 ft/s
O A 5 ft/s

Answers

The answer is A.
100/20=5
A trust I have done this question

SOMEONE PLEASE HELP
Body composition analysis can accurately show changes in
O Fat mass
O Muscle mass
O Body fat %
O All of the above

Answers

Answer: all of the above

Explanation: Give brainliest please (first)

HELP ASAP!!! How many electrons fit into each electron shell?
K
L
M
N

Answers

Answer:

k = 2

L = 8

M = 18

N = 32

plz mark me as a brainelist

Plz di all plz i will give brainest and thanks to best answer do it right

Answers

Answer is wavelength

Hope this helps and good luckkk :))))

Which of these is an example of electrical energy being converted to mechanical energy?

Group of answer choices
Sunlight used by plants in photosynthesis
Ceiling fan
Lightning striking the ground

Answers

Answer:

Ceiling fan

Explanation:

A ceiling fan is an example of electrical energy being converted to mechanical energy.

The blades of the fan are driven by motor within the system.

Energy in a system is converted from one form to the other. Energy is neither created nor destroyed as we know from the law of conservation of energy. In this regard, the electrical energy from the outlet powers the motor. As the motor inside the fan spins, the blade in turn begins to rotate. The motion of the blade is the expression of mechanical energy.

An 80.0 kg fisherman jumps into a 37.5kg boat that is at rest. If the velocity of the fisherman is 5.60m/s when he jumps from the dock, what will be the velocity of the boat and fisherman after he lands in the boat?

Answers

Answer:

The velocity of the boat and fisherman after he lands in the boat is 3.812m/s

Explanation:

We will solve this question on the general Derivation for general case of a man jumping n the boat

m = Mass of the man = 80kg

M= mass of the boat 37.5kg

V(m, g) = Velocity of man with respect to ground = 5.6m/s

V(b , g) = Velocity of boat with respect to ground = Vo = 0m/s ( rest)

velocity of the boat and fisherman after he lands in the boat = V1

As there is no external force acting on the man then we can apply conservation of the Linear Momentum.

m*V(m, g) + M*Vo = (M+m)V1

[tex]V1 = \frac{ m*V(m, g) + M*Vo}{M+m}[/tex]

 On substituting the values we get

V1 = [tex]\frac{80*5.6 + 37.5*0}{80+ 37.5}[/tex]

V1    = [tex]\frac{448}{117.5}[/tex] = 3.812 m/s

Therefore the velocity of the boat and fisherman after he lands in the boat is 3.812m/s.

A person on a merry-go-round makes a complete revolution in about 3.17 s.
The radius of the ride is about 3.1 m, and the rider has a mass of 50 kg. What is the centripetal force on the rider?
1. 12.18 N
2. 245.0 N
3. 490.0 N
4. 608.9 N

Answers

Answer:

second one

Explanation:

HOPE THIS helps

If a person (weighs 70kg) jumped of a moving car (at 100km/h) and fell on asphalt what is the amount of force applyied to his body that touches the ground first? What are the chancese of dying if the only impact to the body is from the ground?

Answers

Answer:

The amount of force applied to his body is 1944.44 N

The chances of the person dying is very high owing to the high impact force with which the person would experience when he or she lands on the asphalt road due to the jump out of the moving car.

Explanation:

We all know that,

F = Ma where,

F = Force

M = weight of the person

a = acceleration or velocity of the moving car

Therefore;

F = { 70 x (100 x 1000) } / [3600]

= [7 000 000] / 3600

= 1944.44 N

The snow fell on me is my excuse so my mom won’t know that I’m getting bullied

Answers

Answer:

Aaaaw noooo. :(

Explanation:

what did they say to u and what state do u live in. I will help u stand up to them. I have taken down many bullies before by using words. in fourth grade, my friend was getting bullied by the class, then yelled and stood up for her. they all fell silent and never bullied her, or any of my friends again. For whatever reason they bully u is probably d.u.m.b. which means they r really d.u.m.b. Also, U should try finding out a lot of personal info about them that they dont want anyone to know. also tell the principal. Is ur mom nice, or mean? if shes nice, she'll support u and fight for u, which means u should address

Answer:

You should stick up for yourself because if you don't then no one else will but im always here to talk to you if you need someone

Explanation:

Point-source pollution enters water
A. from many different sites
B. from a specific location
C. slowly seeping through soil along pipelines
D. from unknown sources

Answers

A is the answer to the question

You have a 100 N object with a normal force of 100 N. You apply a 50 N push to the right, but a friend is hiding on the other side of the object and is also pushing with a force of 60 N. What is the net force on the object?

Answers

Answer:

100.49N

Explanation:

First we must know that the normal force acts in the vertical direction;

The force required to push to the right and left acts in the horizontal direction;

Sum of force along the horizontal Fx = 50N - 60 N = -10N

Force along the vertical Fy = 100N

The net force on the object is calculated as;

F = √(Fx)² + (Fy)²

F = √(-10)² + (100)²

F = √100 + 10000

F = √10,100

F = 100.49N

Hence the net force on the object is 100.49N

Which type of friction opposes motion?

Answers

Answer:

Friction does not oppose motion, it oppose relative motion.

Explanation:

static friction opposes relative motion

Answer:

there are three types or friction

1) Static friction

2) Rolling Friction

3) Sliding friction

Static friction comes to end when the object starts moving(or starts motion ) so Sliding Friction and Rolling Friction opposes motion l.

A ray of light travelling obliquely from a rarer medium to a denser medium goes _______​

Answers

Explanation:

towards the normal

MARK ME BRAINLIST

A component that is used to break a circuit is
(1 Point)
Wire
Switch
Bulb
Electric cell

Answers

A component that is used to break a circuit is called a wire

An object is moving east, and its velocity changes from 66 mvs to 26 mvs in 10 seconds. Which describes the
acceleration?
negative acceleration of 4 mvs
positive acceleration of 4 ms
positive acceleration of 9 m/a
negatlveo acceleration of 9 m/s

Answers

Answer:

negative acceleration of 4m/s²

Explanation:

Given parameters:

Initial velocity  = 66m/s

Final velocity = 26m/s

Time taken = 10s

Unknown:

Description of the acceleration  = ?

Solution:

Acceleration is the rate of change of velocity with time.

It is mathematically expressed as;

    acceleration  = [tex]\frac{v - u}{t}[/tex]

v is the final velocity

u is the initial velocity

t is the time taken

  Now insert the parameters and solve;

    Acceleration  = [tex]\frac{26 - 66}{10}[/tex]   = -4m/s²

So, we see a negative acceleration of 4m/s²

If you have a piece of brass and a piece of aluminurn that have the same volume, which will have a larger mass?

Answers

Answer:

the aluminum would have the most mass

9. An object moving at a constant velocity accelerates at a constant rate of 20 m/s for a distance of
100 m. At the end of the acceleration the object has a velocity of 80 m/s. What was its velocity
before accelerating?

Answers

Answer:

I believe the answer is roughly 49m/s

Explanation:

List all given variables:

Accel=20m/s^2

Dist=100m

Final velocity=80m/s

Initial velocity=?

Using the equation i=sqrt(f^2-2a*d) where i =initial velocity, f=final velocity, a=acceleration, and d=distance, we can plug in the known values and solve for initial velocity

i=sqrt(80^2-2*20*100)

i=sqrt(6400-4000)

i=sqrt(2400)

i=48.99, rounded up to 49m/s as the initial velocity

This is my speculation about this answer would appreciate if anyone can confirm this.

A student moves a box across the floor by exerting 56.7 N of force and doing 195 J of
work on the box. How far does the student move the box?
A.3.4 m
B. 11,056 m
C.138 m
D.0.29 m

Answers

Answer:

A. 3.4 m

Explanation:

Given the following data;

Force = 56.7N

Workdone = 195J

To find the distance

Workdone is given by the formula;

[tex] Workdone = force * distance[/tex]

Making "distance" the subject of formula, we have;

[tex] Distance = \frac {workdone}{force} [/tex]

Substituting into the equation, we have;

[tex] Distance = \frac {195}{56.7} [/tex]

Distance = 3.4 meters.

A double inclined plane that moves is a(n) .

Answers

Answer:

a wedge.

Explanation:

it moves when you apply force to one end of the wedge.

which two things does force depend on?​

Answers

Answer:

Mass and Gravity

Explanation:

Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects and is inversely proportional to the square of the distance between them.

A roller coaster travels down a 120 m track in 12.5 seconds how fast does the roller coaster go

Answers

Answer:

9.6m/s

Explanation:

Using the equation S=d/t where s=speed, d=distance, and t=time

plug in the known variables

S=120m/12.5s

S=9.6m/s

plzzzz help it for civics

Answers

Answer:

A : the colonists dumped tea in Boston Harbor

What is the difference between the geographic North Pole and the magnetic north pole?​

Answers

Answer:

Magnetic north is the direction towards the north magnetic pole, which is a wandering point where the Earth's magnetic field goes vertically down into the planet

Explanation:

I searched it up lol

Guys i need help please

Answers

Answer:

I'm pretty sure the answer is around 9.2 seconds

Explanation:

Formulas
Speed = distance / time
Time = distance / speed
Distance = speed x time
A bowling ball rolls 30 meters in 4 seconds. What speed did it travel?
distance = 30m
time = 45
speed = ?

Answers

Using s= d/t

7.5 m per second

Speed = distance/time
= 30/45
= 6/9
= 2/3
= 0.666.........
Speed = 0.6

if a runner travels 1600m in 420 seconds, her average speed is

Answers

Answer:

the answer is 3.8m/s in meters per second

Other Questions
Which of the following is an example of race? How do you solve this;The price of a theater ticket increased from $7.50 to $7.75. The theater sold 315 tickets at the higher price. With the price increase, how much more did the theater earn on the tickets? Pass seconds by theroute possibleO shortestO longest please help!! ill mark brainliest if correct as a christmas present but please help! :)) how many us dollars are there in 7 euros There are three types of friction. ______________ friction occurs when an object is not moving. ______________ friction occurs when an object is moving against another surface. ______________ friction occurs in the case of wheels or other round objects. The amount of friction depends on two things.First, how ______________ the surfaces are; and second, how ______________ the object is. It is ______________ to keep an object moving than to start it moving. This is because static friction is ______________ than sliding friction.Word Bank:staticslidingrollingbumpyheavyeasiergreater Out of 30 students in Mohammed's class, 40% are girls. How many are boys? Which gives the correct values for points A, B, C, and D?PLEASE HELP ASAP! 1 point10. If the grasshopper contains 450 units of energy, then approximatelyhow many units will the owl receive upon eating the mouse?O a. 450 unitsOb.45 unitsO c. 4.5 unitsO d. 0.45 unitsPLZ HELP Which type of wave can travel through empty space?PLZ HELP ME BEST ANSWER WILL GET BRAINLIESTAND IM SRS ABT THIS QUESTION Helpppppppppppppppppppppppp Many plants in rainforests have leaf tips that come to a point, so precipitation drains off the leaf. This helps to keep the plant safe from harmful germs. Based on this info, what resource is prevalent in a rainforest? HELPPP!!!???PLEASE HELPPP!! Mis primas y yonunca nos peleamos.Your answer:A. nos lavamos las manosB. nos llevamos bienC. nos secamos el pelo What is the first step that should be performed to find the value of this expression?180 (30 + 15) 6 1 A. Divide 180 30. B. Add 30 + 15. C. Multiply 15 6. D. Subtract 6 1. 3. What is a secondary source? a. A journal entry b. An autobiography c. A textbook written by a historian d. A photograph from World War II Given f(x) =5 - 3x, if f(x) = -19, find x If I failed two nine weeks out of four nine weeks, can I still pass the grade? I want only high schoolers or people who know to answer me. What do you know about the rock cycle and the three type of rocks? Two motorcycles are traveling due east with different velocities. However, 3.63 seconds later, they have the same velocity. During this 3.63-second interval, motorcycle A has an average acceleration of 4.55 m/s2 due east, while motorcycle B has an average acceleration of 18.9 m/s2 due east. (a) By how much did the speeds differ at the beginning of the 3.63-second interval, and (b) which motorcycle was moving faster