On the way to the moon, the Apollo astronauts reach a point where the Moon’s gravitational pull is stronger than that of Earth’s.
Find the distance of this point from the
center of the Earth. The masses of the
Earth and the Moon are 5.98 × 1024 kg and
7.36 × 1022 kg, respectively, and the distance
from the Earth to the Moon is 3.84 × 108 m.

Answers

Answer 1

Answer:

3.456 × 10^(8) m

Explanation:

We are given;

Mass of earth; m_e = 5.98 × 10^(24) kg

Mass of moon; m_m = 7.36 × 10^(22) kg

Distance from earth to moon; L = 3.84 × 10^(8) m.

We are told that the Moon’s gravitational pull is stronger than that of Earth’s.

Thus;

F_EA ≤ F_MA

Formula for force due to gravity is;

F = GMm/r²

Applying to this question, we have;

(Gm_e•m_a)/x² ≤ (Gm_m•m_a)/(l - x)²

Where x is his distance from the center of the Earth

Now, G and m_a will cancel out from both sides and we plug on other values to get;

(5.98 × 10^(24))/x² ≤ (7.36 × 10^(22))/(3.84 × 10^(8) - x)²

Taking square root of both sides gives;

2445403852127.4966/x ≤ 271293199325.0107/(3.84 × 10^(8) - x)

Rearranging gives;

2445403852127.4966(3.84 × 10^(8) - x) ≤ 271293199325.0107x

Simplifying this gives;

9.0139(3.84 × 10^(8) - x) ≤ x

(34.613 × 10^(8)) - 9.0139x ≤ x

(34.613 × 10^(8)) ≤ x + 9.0139x

(34.613 × 10^(8)) ≤ 10.0139x

x ≥ (34.613 × 10^(8))/10.0139

x ≥ 3.456 × 10^(8)


Related Questions

Please I need a quicker question

Answers

Answer:

117.4m/s²

Explanation:

maybe but I just try

1) When charges pass through a resistor, they give up kinetic energy to the environment in the form of heat. Consider a circuit in which the wires on either side of a resistor are exactly the same diameter. The average drift speed for charges entering the circuit is venter. The drift speed for charge exiting the resistor is vexit. Is vexit greater than, less than, or equal to venter

Answers

[tex]\frac{1}{2}[/tex]Answer:

    [tex]v_{exit } < v_{enter}[/tex]

Explanation:

To propose the solution of this problem we must use the relationship between work and energy

         W = ΔK

the change in kinetic energy is

         ΔK = K_f -K₀

         ΔK = ½ m v_f² - ½ m v₀² = ½ m (v_f² - v₀²)

in this case

         ΔK =  [tex]\frac{1}{2} m ( v_{exit}^2 - v_{enter}^2 )[/tex]

we can find work with the first law of thermodynamics

         [tex]\Delta E_{int}[/tex] = Q + W

where \Delta E_{int} is the internal energy of the body, usually measured in the form of an increase in the temperature of the system

          W = \Delta E_{int} - Q

if we consider that the internal energy does not change

         W = -Q

we substitute everything in the first equation

        -Q =   [tex]\frac{1}{2} m ( v_{exit}^2 - v_{enter}^2 )[/tex]

Because they are squared, the variables are positive, therefore, for the equation to be fulfilled, the exit velocity must be less than the entrance velocity.

            [tex]v_{exit } < v_{enter}[/tex]

during what part of their drive are the not moving?

Answers

C answer is c math ez
The correct answer is c

Based on the model you saw in the study predict what will happen to the interactions between water molecules as the temperature in the system decreases.
Marking brainliest

Answers

Answer:

1 st one

Explanation:

The interactions between water molecules as the temperature in the system decreases b) The interaction between the molecule will become stronger

What is molecular interaction?

Molecular interactions are attractive or repulsive forces between molecules and between non-bonded atoms

When temperature of the system  decreases the average kinetic energy of the molecules decreases and they move slowly , the  molecular motion get decreased , if the molecules are near each other , the slower they go , more will be molecular interactions , the intermolecular forces attract them to each other  .

the correct answer is :

b) The interaction between the molecule will become stronger

learn more about molecular interactions

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The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.53 m and 1.06 m, respectively. The respective rotational speeds are 443 rev/min and 4,120 rev/min. Calculate the speeds of the tips of both rotors. Compare these speeds with the speed of sound, 343 m/s.

Answers

Answer:

Main motor= 174.66 m/s

Tail motor=228.66 m/s

Explanation:

✓Main motor

Diameter of the main motor= 7.53 m

rotational speeds = 443 rev/min

The speed of the trip= rotational speed × radius

Radius of the main rotor= diameter/ 2

= 7.53 /2=3.765 m

The speed of the trip= (443 ×2π ×3.765)

= 10479.69 meter per minutes

We can convert to metre per seconds as

10479.69/ 60

= 174.66 m/s( less than speed of sound)

✓ Tail motor

Diameter of the main motor= 1.06 m

rotational speeds = 4120 rev/min

The speed of the trip= rotational speed × radius

Radius of the main rotor= diameter/ 2

= 1.06/2

= 0.53m

The speed of the trip= (4120 ×2π ×0.53)

= 13719.96 meter per minutes

We can convert to metre per seconds as

13719.96/ 60

= 228.66 m/s( less than speed of sound)

Chemistry Sem 2

Points Possible: 20

Name: Caleb Peterson

Date:

1. Several solids, liquids, and gases can be found in your home. List three

examples of each. (9 points) Think about where solids, liquids, and gases might

be found in your refrigerator, bathroom, or basement/garage.

Answers

Answer:

Solids - Bricks , wood , Pottery, Bucket

Liquid - Water, soap, Sanitizers.

Gases - Aerosol in Deodorants, Chlorofluorocarbons in Fire extinguishers , Butane in lighters.

the angular speed of an automobile engine is increased at a constant rate from 1300rev/min to 2000rev/min in 3s (a) what is its angular acceleration in revolutions per minute squared ​

Answers

Answer:

please find attached pdf

Explanation:

What is the kinetic energy of a 30 kg dog that is running at a speed of 8.6 m/s (about 19 mi/h)?

Answers

Answer:

Uhm thags hsed

Explanation:

Dkrr

Plz answer this question correctly

Answers

Answer:

changing the direction in which a force is exerted

(1 point) A projectile is fired from ground level with an initial speed of 600 m/sec and an angle of elevation of 30 degrees. Use that the acceleration due to gravity is 9.8 m/sec2. (a) The range of the projectile is meters. (b) The maximum height of the projectile is meters. (c) The speed with which the projectile hits the ground is m/sec.

Answers

Answer:

(a) The range of the projectile is 31,813.18 m

(b) The maximum height of the projectile is 4,591.84 m

(c) The speed with which the projectile hits the ground is 670.82 m/s.

Explanation:

Given;

initial speed of the projectile, u = 600 m/s

angle of projection, θ = 30⁰

acceleration due to gravity, g = 9.8 m/s²

(a) The range of the projectile in meters;

[tex]R = \frac{u^2sin \ 2\theta}{g} \\\\R = \frac{600^2 sin(2\times 30^0)}{9.8} \\\\R = \frac{600^2 sin (60^0)}{9.8} \\\\R = 31,813.18 \ m[/tex]

(b) The maximum height of the projectile in meters;

[tex]H = \frac{u^2 sin^2\theta}{2g} \\\\H = \frac{600^2 (sin \ 30)^2}{2\times 9.8} \\\\H = \frac{600^2 (0.5)^2}{19.6} \\\\H = 4,591.84 \ m[/tex]

(c) The speed with which the projectile hits the ground is;

[tex]v^2 = u^2 + 2gh\\\\v^2 = 600^2 + (2 \times 9.8)(4,591.84)\\\\v^2 = 360,000 + 90,000.064\\\\v = \sqrt{450,000.064} \\\\v = 670.82 \ m/s[/tex]

If a 6-kg bowling ball is rolled down the bowling lane with a force of 12 N, what is the acceleration of the ball?

Answers

Since F = ma, you can use this to find the acceleration. Plug in the values:

12N = 6kg * a

And solve for a.

2 m/s/s = a.

The acceleration is 2 m/s^2

Galileo is considered the father of modern science. Do you agree with this description? Give reasons for your answer.

Answers

Answer:

Galileo Galilei pioneered the experimental scientific method and was the first to use a refracting telescope to make important astronomical discoveries

Explanation:

Yes I agree with this. He made significant scientific discoveries that changed the way of life.

3. The game of tetherball involves a ball tied to a rope the other end of which is tied to the top of a pole. Players try to hit the ball around the pole in opposite directions until it is completely wrapped around the pole. What forces make the ball move in a circle around the pole

Answers

Answer: The force that makes the ball move in a circle around the pole is an angular force known as CENTRIPETAL FORCE.

Explanation:

When a stone is attached to a string, just as in the tetherball game, and whirled round at constant speed in a horizontal circle, the stone moves with constant speed but at different directions and acceleration ( as the ball is hit by different players) directed towards the center of the circle due to the tension in the spring that produces a force.

The force that is required to keep the object ( ball) moving in this circular path is called the centripetal force. It is inversely proportional to the radius curvature (r) which is formed by the rope that ties the ball to the pole. Therefore, the force increase as the radius decreases.

Hence,

F= mv²/ r

Where F= centripetal force

m= mass

v= velocity

r= radius of curvature

Other examples of centripetal force includes

--> a car moving in a circular path,

--> the revolution of the planets round the sun,

3. An ecosystem is different from all of
the other groups because it contains
things.
O only living
O only nonliving
O both living and nonliving

Answers

Answer:

I think it is O only nonliving

i believe it’s only nonliving

Which is one college class that a student would most likely take to become an oceanographer?
-marine biology
-chemical engineering
-foundations of physics
-human anatomy

Answers

Answer:

marine biology

Explanation:

can i get the crown?

Answer:

Marine Biology

Explanation:

part of an Oceanographers skills is to know marine life therefore marine biology is a subject to take, plus its the only logical answer choice since its part of the marine/oceanic Realizations.

What type of wave has crests and troughs?

Answers

Answer:

tidal wave

Explanation:

inertia is a measure of
a) a push or pull on an object
b) the difficulty of changing an object's motion
c) a velocity of an object
d) none of the above

Answers

Answer:

b.. a difficulty of changing an object's motion, that's my ✨ g u e s s ✨

Which have the same velocity?

A. A boy walking east at 2 km/h and a man walking east at 4 km/h
B. A car standing still and a truck driving in a circle at 4 km/h
C. A dog walking west at 3 km/h and a cat walking west at 3 km/h
D. A girl walking west at 3 km/h and a boy walking south at 3 km/h

Answers

Answer:

answer is b

Explanation:

a dump truck travels 70mph for 3 hours, then for 20mph for another 2 hours in the same direction. what is the average speed the car traveled?

Answers

Answer:

the average speed of the car is 170 mph.

Explanation:

Given;

initial speed, u = 70 mph

time of motion, t₁ = 3 hours

final speed, v = 20 mph

time of motion, t₂ = 2 hours

The average speed of the car is calculated as;

[tex]v' = \frac{70(3) - 20(2)}{3-2} \\\\v' = 170 \ mph[/tex]

Therefore, the average speed of the car is 170 mph.

Someone please please please help me with this. I’ll give u whatever rating u want

Answers

The vertical forces add up to zero.

The net force on the object is 60N to the right.

F = m • a

60N right = (10kg) • (a)

a = (60N right) / (10kg)

a = 6 m/s^2 to the right

Multi-engine Commercial would be nice.


Minimum interplanar spacing required for Bragg's diffraction is:​

Answers

Answer:

Explanation:

\frac{\lambda }{2} is the minimum interplanar spacing which is required for Bragg's diffraction to occur.

Consider a 2 m wide and 5 m long slab resting on flat, fixed, earthen bed. The slab is 20 cm thick with uniform properties. You may assume the slab is much longer and wider than it is thick. Write the reduced form of the governing equation for the slab. Clearly identify your coordinate system on a sketch and state your assumptions identifying which terms you are eliminating and why.

Answers

Answer:

Explanation:

The coordinate sketch for the system is shown in the attached file below. Also, in the cartesian coordinate system, since the height is less than the length and width, we did neglect the height. Thus, we eliminate the height and converted it to a two-dimension.

A man standing on the Earth can exert the same force with his legs as when he is standing on the moon. We know that the mass of the man is the same on the Earth and the moon. We also know that F=ma is true on both the Earth and the moon. Will the man be able to jump higher on the moon than the Earth? Why or why not?
PLEASE HELPPPP

Answers

Answer:

yes

Explanation:

earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity

Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The force on the moon is less than earth as gravity is 1/6 on the moon

When man jump than he will jump high on the moon than the earth.

Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.

To learn more about force refer to the link:

brainly.com/question/13191643

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What is the weight of an object (on earth) that has a mass of 45 kg?

Answers

Answer:

441 N

Explanation:

weight = mass x gravity

w = m x g.

We know that gravity = 9.8 m/s^2 and mass = 45 kg.

w = 45 kg x 9.8 m/s^2

w = 441 N

So the weight of the object is 441 N (newtons).

Answer:441 N.

Explanation:

The weight of 45 kg at rest on the surface of the Earth is about 45 * 9.8 N = 441 N.

Batteries are usually identified by their voltage.

Which battery would be able to give 18 joules of energy to 12 coulombs of charge?

Question 7 options:

1.5 Volt battery


216 Volt battery


9 Volt battery


12 Volt battery


6 Volt battery


3 Volt battery

Answers

Answer:

Explanation:

Given parameters:

Electrical energy  = 18J

Quantity of charge Q = 12C

Unknown:

Voltage  = ?

Solution:

The expression of electrical potential energy is given as:

      Electrical potential energy  = [tex]\frac{1}{2}[/tex] c v²

c is the quantity of charge

v is the voltage

           18  =  [tex]\frac{1}{2}[/tex]  x 12 x v²  

           18 = 6v²  

              v² = 3  

               v = 1.7v

1. Two boxes stacked on top of one another weigh 100 kg total. They apply
a friction force of 250N. You apply a force of 300N in the right direction.
What is the total net force and direction of the box?

Answers

Answer:

150

Explanation:

how does different color show exist

Answers

Answer:Light is made up of wavelengths of light, and each wavelength is a particular colour. The colour we see is a result of which wavelengths are reflected back to our eyes. The visible spectrum showing the wavelengths of each of the component colours. The spectrum ranges from dark red at 700 nm to violet at 400 nm.  

Explanation:

hope it helps

Answer:When light hits an object, the object reflects some of that light and absorbs the rest of it. Some objects reflect more of a certain wavelength of light than others. That's why you see a certain colour. For example, a lemon reflects mainly yellow light.

Explanation:

The speed limit on suburban roads is 50 km/h. You are traveling at the limit when an empty bag blows onto the road from behind a parked car 5.0m in front of you. If you maintain your speed how long will it be before you hit?

Answers

I don’t know the anser to this whuejenewkkaksj

An object is experiencing an acceleration of 12 m/s2 while traveling in a circle of radius 5.0 m. What is its velocity?

Answers

Answer:

v = 7.74 m/s

Explanation:

Given that,

The acceleration of the object, a = 12 m/s²

The radius of the circle, r = 5 m

We need to find the velocity of the object. The centripetal acceleration act on the object that is given by :

[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar} \\\\v=\sqrt{12\times 5} \\\\v=7.74\ m/s[/tex]

So, the velocity of the car is 7.74 m/s.

If you double the compression of a spring it’s elastic potential energy will do what

Answers

Answer:

When you stretch or compress a spring you work against the restoring force of the spring. This work is stored as elastic potential energy in the spring. The more you stretch or compress the spring, the more work is done by you and more energy is stored.

This is also evident from the expression of the potential energy ( U ) -

U=(1/2)kx2

Where x is the displacement from the unstretched position of the spring. Greater is the x. more is the energy stored.

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