The center of the Hubble space telescope is 6940 km from Earth’s center. If the gravitational force between Earth and the telescope is 9. 21 × 104 N, and the mass of Earth is 5. 98 × 1024 kg, what is the mass of the telescope? Round the answer to the nearest whole number. Kg.
Answers
Answer:
Approximately [tex]11121\; {\rm kg}[/tex] (rounded to the nearest whole number as required, assuming that planet Earth is a uniform sphere.)
Explanation:
Let [tex]G[/tex] denote the gravitational constant. [tex]G \approx 6.6743 \times 10^{-11}\; {\rm N \cdot m^{2} \cdot kg^{-2}}[/tex].
Let [tex]M[/tex] denote the mass of planet Earth. Let [tex]m[/tex] denote the mass of the telescope. Let [tex]r[/tex] denote the distance between the telescope and the center of planet Earth.
Note the unit conversion for the distance [tex]r[/tex]:
[tex]\begin{aligned}r &= 6940 \; {\rm km} \times \frac{10^{3}\; {\rm m}}{1\; {\rm km}} \\ &= 6.940 \times 10^{6}\; {\rm m}\end{aligned}[/tex].
By Newton's Law of Universal Gravitation, the magnitude of the gravitational force between planet Earth and this telescope would be:
[tex]\begin{aligned}W &= \frac{G\, M\, m}{r^{2}}\end{aligned}[/tex].
Rearrange this equation to find the mass [tex]m[/tex] telescope in terms of [tex]G[/tex], [tex]M[/tex], and [tex]r[/tex]:
[tex]\begin{aligned}G\, M\, m &= W\, r^{2}\end{aligned}[/tex].
[tex]\begin{aligned}m &= \frac{W\, r^{2}}{G\, M}\end{aligned}[/tex].
Substitute in the value of [tex]G[/tex], [tex]M[/tex], and [tex]r[/tex]:
[tex]\begin{aligned}m &= \frac{W\, r^{2}}{G\, M} \\ &\approx \frac{9.21 \times 10^{4}\; {\rm N} \times (6.940 \times 10^{6}\; {\rm m})^{2}}{6.6743 \times 10^{-11}\; {\rm N \cdot m^{2} \cdot kg^{-2}} \times 5.98 \times 10^{24}\; {\rm kg}} \\ &\approx 11121\; {\rm kg}\end{aligned}[/tex].
Answer:
11,121 kg
Explanation:
Related Questions
What happens to the acceleration due to gravity as you move farther away from the center of the earth?
Answers
Answer:
there less and less gravity while your going farther and farther
WallyGPX accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration? Is this acceleration higher than that of a car which accelerates from 0 to 30 m/s in 8 seconds?
Answers
My Phone is +2348181686682
What is the resultant of 5N force pointing north and 7N force pointing south? Do not forget include direction
Answers
Given forceF
1
=5N and F
2
=7N and θ=60
We know resultant force F=
5
2
+7
2
+2(5)(7)cos60
F=
25+49+35
F=
109
it's your answer
Which vector has a y-component with a length of 1?
Answers
Answer:
C
Explanation:
Answer:
(C). c
Explanation:
You work for the police. An accident has happened. A farmer was taking his dairy cows for milking across a road. The crossing point was 100m from a blind bend. In normal conditions with an alert driver obeying the speed limit of 30m/s a car can safely stop before reaching the crossing point. Mr Hoyland was driving home, saw the cows around the bend and was unable to stop. He ran into one of the cows and killed it.
Answers
Answer:
Since the stopping distance is less than the thinking distance, Mr Hoyland is therefore responsible for the accident
Explanation:
. In normal road conditions and with an alert and sober driver the car
could have stopped before the crash.
2. The reaction time of an alert and sober driver is 0.6s.
3. The reaction time of a drunk driver could be 2s.
4. The initial speed of the car was 30m/s
5. From the time of applying the brakes the total braking distance in
normal conditions is 70m
6. From the time of applying the brakes the total braking distance in bad
conditions is 90m
7. From the time of applying the brakes in normal conditions the car would
reach 15m/s in 52m
You are a forensic expert working for the police. You must analyse the facts and produce a
report stating whether or not Mr Hoyland was responsible for the accident.
1. Calculate the thinking distance for a car travelling at 30m/s
2. Calculate the braking distance for a car travelling in normal conditions at 30m/s
3. Calculate the total stopping distance.
4. REMEMBER TO SHOW YOUR WORKING OUT
Challenge:
1. Is Mr Hoyland responsible for the accident?
2. Explain your answer giving CLEAR reasons for your answer and likely causes.
The Thinking distance = 100m
The breaking distance = 70m
A breaking distance = Stopping distance = 70m
Since the stopping distance is less than the thinking distance, Mr Hoyland is therefore responsible for the accident
A farmers accident.
As your work is for police an accident has happened. The farmer was taking his cows for milking across the road. The responsibility of both the farmers and driver in accident is taken into consideration.
The answers is before the crash.
As far as the accident could take place when is walking blind from behind. The pointing crossing was 100m from the farm.As stopping distance is less than the thinking distance, it is this possible to run into an accident. As the car could have stopped before the crash.Learn more about the work of the police.
brainly.com/question/13387543.
1.2
A brick slides on a rough horizontal surface. Which ONE of the following
actions will increase the frictional force acting on the brick?
A. Decreasing the surface area of contact
B. Increasing the surface area of contact
C. Putting a second brick on it
D. Decreasing the mass of the brick
10-H
IS
Answers
Answer:
B
Explanation:
Because it has to increase
force of friction = mu (coefficient of friction) * normal force
normal force = mass * force of gravity
In order to increase the frictional force, mass must be added to increase the normal force and thus the amount of applied friction.
help me ASAP!!
Do you think the number of asteroid samples a pod is carrying could make a difference? Might that explain why the same strength thruster force caused this pod to have a different change in velocity? Explain your ideas, even if you are unsure.
Please help!
Answers
Answer:
im not sure but from few stuffs i read online i will try and answer
Explanation:
The pod may be heavier or lighter than normal, depending on the number of
asteroid samples.
• Based on everyday experience, heavier objects are more difficult to move as
compared to lighter objects, which are easier to move
This pod moved differently because it was more massive. The kids in other missions were less massive, so the thursters stopped the pod. The thrusters were supposed to do stop the pod, but since it was more massive it only slowed. The force exerted by the thrusters wasn't great enough to stop the pod.
Brandy has built a computer model of a weather system. She has included information about bodies of water, the Sun, and the atmosphere. Brandy decides to decrease the amount of atmospheric water vapor in her model. How will this likely affect the precipitation in her model?
A.
There will be less precipitation.
B.
There will be more precipitation.
C.
It will rain constantly.
D.
The precipitation will not change.
Answers
Answer:
there will be less precipitation because there is less water vapour
Explanation:
Which one is the answer please
Answers
Scientists have concluded that Earth is at risk of future impacts with meteoroids. What are some criteria that engineers consider when they try to design technology to detect meteoroids and prevent collisions?
Science
Answers
Explain step by step
Explanation:
Collisions with asteroids, comets and other stuff from space have been responsible for huge landmarks in our planet’s history: global shifts in climate, the creation of our moon, the reshuffling of our deepest geology, and the extinction of species.
Asteroid threats pop up in the news every now and then, but the buzz tends to fizzle away as the projectiles pass us by. Other times, as with the 2013 Chelyabinsk meteor in Russia, we don’t know they’re here until they’re here.
Perhaps most useful to remember is that when near-Earth objects (including asteroids, comets and meteoroids) enter the atmosphere, they’re called meteors; and if there’s anything left when they hit the ground, the resulting object is called a meteorite. We tend to focus on asteroids when talking about potential collisions, because they’re more likely to hit us than other stuff like comets, but still big enough to pose a threat.
By using optical and radio telescopes, the meteoroids are characterized and their shape, rotation and physical composition are determined.
Scientists have considered some criteria to detect the meteoroids and prevent collisions so that earth is protected from their impact. This includes finding the position and size of the meteoroids and so the orbit of the earth could be changed and thus there is possibility for preventing collision.
By using optical and radio telescopes, the meteoroids are characterized and their shape, rotation and physical composition are determined. With the early recognition of the meteoroid movement and their position, the evacuation of people from the particular areas of possible impact can be done.
To learn more about meteoroids, click:
https://brainly.com/question/1939309
#SPJ2
write down the freezing and boiling point of alcohol
Answers
Ethanol boiling point = 78.37°C (173.066°F)
Why there is no effect of gravitational force of Earth on trees?
Answers
Answer: There is a gravitationnal effect but that is why the trees aren't all up rooted and flying its just that the gravitational pull isn't strong enough to keep the tree in the ground
Explanation:
I hope this helps :)
Have a good day
Which phrase is the best definition of matter?
A. The smallest piece of a chemical compound that retains the
properties of the compound
B. A substance that can change in both volume and shape
o
C. Something that occupies a volume of space and also has mass
D. A substance that cannot be divided into smaller pieces
Answers
Answer:
C is the correct answer
please keeps as Brainly list
A circuit featuring multiple paths through which current can flow is best classified into which category?.
Answers
Answer:
A parallel circuit.
In a series circuit the current must flow thru the resistances in any particular branch.
PLEASE HELP WHATS THE ASNWER
Answers
Answer:
A
Explanation:
Since the room temperature and the water placed in it is the same degrees hence no change
your great grandfather drives you to the movies at 21 miles per hour (in a 40 mile/hour zone). The movie begins in half an hour and you are 11 miles away. How long will it take you to get there, and will you be late?
Answers
Answer:
It will take you 10 miles and no, you will not be late.
Explanation:
Is feeling chilly and cold the same thing?
Answers
Answer:
The term “chills” refers to a feeling of being cold without an apparent cause. You get this feeling when your muscles repeatedly expand and contract and the vessels in your skin constrict. Chills can occur with a fever and cause shivering or shaking. Your body chills can be constant.
Explanation:
Hope this helps , also put in your own words !!
electric field
what is the magnitude of the electric field from 30 cm from a point charge of q = 30 NC?
Answers
Explanation:
Electric field = k q/r²
= 9×10⁹×30/(30×10^-2)²
= 3×10¹² N/C
You pull a wagon up a 100m hill at 2m/s and get in and roll down the other side of the same
100m hill at 10m/s.
a. How much time does this entire trip take?
Answers
explanation: divide 100m by 2m/s = 50s then 100m by 10m/s = 10s. add the two totals up 50s + 10s and get 60s or 1 minute.
How can you make a chemical change to paper
Answers
-- burn it (it combines with Oxygen and makes new substances)
-- chew it (it combines with your saliva and makes new substances)
-- swallow it (your stomach juices dissolve it and make new substances)
I think that's as far as I should go with it.
Why does Mila’s phone start playing music again when she plugged her phone into the battery pack ?
Answers
Answer:
cause it got charged
Explanation:
Which planet moves the fastest and which planet moves slowest?
Answers
fastest is mercury and slowest is Neptune
Explanation:
this answer is right
Answer:
fastest > Mercury
slowest > Venus
A machine puts out 20 watts of power for every 100 watts put into it what’s the efficiency of the machine?
Answers
If one object has a greater mass than another
A. More force is required to movie it.
B. Less force is required to move it
C. The acceleration is greater
D. It has less inertia
Answers
Answer:
more force to move it
Explanation:
i would say based on mass of course itll be more.
Answer:
A
Explanation:
The heavier something is, it needs more force to push it
Writing an Argument About Galetown’s Severe Storms Note: If you do not have access to Amplify Science at home, your teacher will provide you with an alternate way to complete this homework. In your final report to the citizens of Galetown, you will discuss the three claims and explain how all three factors can contribute to severe storms. Then, you will predict if the storms will always be severe. What caused Galetown to have more severe rainstorms this summer than in previous years?
Claim 1: The lake that was built near Galetown caused it to have more severe rainstorms.
Claim 2: Warmer weather caused Galetown to have more severe rainstorms.
Claim 3: Stronger winds caused Galetown to have more severe rainstorms.
Be sure to use some of the vocabulary words you have learned in both of your writing assignments: Word Bank air parcel, cloud,condensation, energy, evaporation, temperature, transfer, troposphere, water vapor, weather, wind
Recall from the previous activity which claims you think are best supported by evidence. Use these claims to explain what is happening in Galetown. You can use the data table and the words listed in the word bank above to help you with your report that answers the question: What caused Galetown to have more severe rainstorms this summer than in previous years? Press NEXT to move on to the second part of the written report. Write a 3-5 paragraph argumented essay
Answers
The claim that can be deduced is that B. Warmer weather caused Galetown to have more severe rainstorms.
What is a claim?It should be noted that a claim simply means the stance of an author in a literary work.
In this case, the claim is that warmer weather caused Galetown to have more severe rainstorms.
When the temperature of an air parcel begins higher, this will make it rise higher in the troposphere before the temperature of the air parcel and surrounding air are equal.
Learn more about claim on:
https://brainly.com/question/2748145
Can someone please help me!!!!
Throughout this activity, you’ve explored forces. What is one question that you’d like to investigate further about forces?
Answers
Answer:
Explanation:
Perhaps how do forces such as friction benefit us in our lives? If it wasn't for friction, more car accidents were likely to happen.
Or if it wasn't for the gravitational force, we wouldn't be comfortable as we are now. Earth keeps on orbiting around the sun due to gravitational force! This is something that is very essential to us!
A motorcycle has a weight of 2000N. What is the mass of the motorcycle?
Answers
Answer:
One kilogram is equal 9.81 Newton’s. To convert Newton’s to kg you have to divide Newton’s by kg. In this scenario it would have to be 2000/9.81 which is 203.87 kg.
Answer:
204
Explanation:
What universal standard is the basis of the atomic mass unit?
the oxygen-16 atom
the carbon-12 atom
the chlorine-35 atom
the proton
Answers
To have a change in acceleration there has to be a change in velocity.
Answers
To have ANY acceleration, there has to be a change in velocity.
A bullet of mass 20g is horizontally fired with a velocity of 150m/s from a pistol of mass 2 kg. What is the
recoil velocity of the pistol?
Answers
Answer:
m1 = 20g (= 0.02 kg)
Mass of pistol, m2 = 2 kg
Initial velocity of the bullet (u1) and pistol (u2) = 0
Final velocity of the bullet, v1 = +150m s-1
Let v be the recoil velocity of the pistol.
Total momentum of the pistol and bullet after it is fired is
= (0.02 kg x 150 m s-1) + (2 kg x v m s-1)
= (3 + 2v) kg m s-1
Total momentum after the fire = Total momentum before the fire
3 + 2v = 0
→v = -1.5 m/s