Answers
Answer:
The answer is "[tex]5.184 \times 10^{23}[/tex] kg"
Explanation:
Given:
[tex]g= 6.003 \ \frac{m}{s^2}\\\\G= 6.67 \times 10^{-11} \ \frac{N - m^2}{kg^2}\\\\M=?\\\\radius= 2,400 \ km\\\\[/tex]
Calculating diameter:
[tex]Diameter =radius \times 2[/tex]
[tex]=24\times 10^5 \times 2\\\\=48 \times 10^5 \ m[/tex]
The formula for mass calculation:
[tex]\to g = G \times \frac{M}{(\frac{d^2}{4})}\\\\\to g=G\times \frac{4M}{d^2}\\\\\to 4M= \frac{g \times d^2}{G} \\\\\to M= \frac{g \times d^2}{4G} \\\\[/tex]
[tex]=\frac{6.003 \times (48 \times 10^{5})^2}{4 \times 6.67 \times 10^{-11}}\\\\=\frac{6.003 \times 2,304 \times 10^{10}}{26.68\times 10^{-11}}\\\\=\frac{13,830.912 \times 10^{10}}{26.68\times 10^{-11}}\\\\=518.4 \times 10^{21}\\\\= 5.184 \times 10^{23}\\\\[/tex]
Related Questions
An atom of the element chromium has an atomic number of 24 and a mass number of 52. How many electrons are in an uncharged atom of chromium?
0
24
28
52
Answers
Answer:
it's 24
Explanation:
I took the test and got 100 %
Answer:
24
Explanation:
As we know, the moon is a satellite of our earth, what is the
theoretical period of the moon? The average radius of the
moon's orbit is 3.84 108 m and the mass of the earth is 5.97 x
1024 kg (in hours, G = 6.67 x 10-9 N (m/kg) 3).
Answers
Answer:c
Explanation:c
This question involves the concepts of the time period, orbital radius, and gravitational constant.
The theoretical period of the moon is "658 hr".
The theoretical time period of the moon around the earth can be found using the following formula:
[tex]\frac{T^2}{R^3}=\frac{4\pi^2}{GM}[/tex]
where,
T = Time Period of Moon = ?
R = Orbital Radius = 3.84 x 10⁸ m
G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Earth = 5.97 x 10²⁴ kg
Therefore,
[tex]\frac{T^2}{(3.84\ x\ 10^8\ m)^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\T^2=(9.91\ x\ 10^{-14}\ s^2/m^3)(56.62\ x\ 10^{24}\ m^3)\\\\T=\sqrt{561.34\ x\ 10^{10}\ s^2}[/tex]
T = 2.37 x 10⁶ s[tex](\frac{1\ h}{3600\ s})[/tex]
T = 658 hr
Learn more about the orbital time period here:
https://brainly.com/question/14494804?referrer=searchResults
The attached picture shows the derivation of the formula for orbital speed.
Matt is driving his car around a curve that has a radius of 40 m. If his speed is 25 m/s as he negotiates the curve, find the centripetal acceleration for the curve.
A- 13.9 m/s2
B- 24.6 m/s2
C- 15.6 m/s2
D- 7.25 m/s2
Answers
Answer:
[tex]\huge\boxed{\sf a_{c} = 15.6\ m/s^2}[/tex]
Explanation:
Given Data:
Radius = r = 40 m
Speed = v = 25 m/s
Required:
Centripetal Acceleration = [tex]\sf a_{c}[/tex] = ?
Formula:
[tex]\sf a_{c} = \frac{v^2 }{r}[/tex]
Solution:
[tex]\sf a_{c} = \frac{v^2}{r} \\\\a_{c} = \frac{(25)^2}{40} \\\\a_{c} = \frac{625}{40} \\\\a_{c} = 15.6 m/s^2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807PLEASE HELP ME IM TIMED
Answers
What is meant by the components of a vector
Answers
2. (1) A piece of rubber is 50 cm long when a weight of
35 N hangs from it and is 85 cm long when a weight
of 70 N hangs from it. What is the spring constant
of this piece of rubber?
Answers
Answer
By F = -kx {-ve just indicating the sign of the force}
=>35 = k x (85-50) x 10^-2
=>k = 100 N/m
Again by F = -kx
A car traveling at 50 m/s comes to a stop in 5 seconds. What is the
acceleration of this?
Answers
Answer:
10
Explanation:
10 is the answer because you divide 50 and 5 and your answer is 10.
Hope this helps:)
Pls mark brainlist
Answer:
a = -10m/s²
Explanation:
Givens:
Vf = 0m/s
Vi = 50m/s
t = 5s
Use the following kinematic equation:
Vf = Vi+at
Rearrange
a = (Vf-Vi)/t
a = -10m/s²
I’ll give u BRAINLIEST PLEASE!! HURRY
Answers
Answer:
C
Explanation:
Which type of energies make up the mechanical energy of a roller coaster moving along a track?
Answers
Answer:
gravitational potential energy and kinetic energy
Explanation:
Calculate the average speed of a runner who runs for 500 meters in 40 second HELP!
Answers
Answer:
12.5
Explanation:
500 divided by 40 = 12.5
(please awnser i need my grade up) We can calculate the about of potential energy in an object using the formula PE = mgh where m is the mass of the object, g is the acceleration due to gravity (which on Earth is a constant 9.8) and h is the height the object is from ground. If I have a 2kg bar of gold and raise that to a shelf mounted 3 meters from the ground what is that objects GPE? Remember to insert the numbers into the formula like this PE = (2) (9.8) (3) , you may use your calculator to complete this multiplication problem.
Answers
Answer:
88.2 J
Explanation: Hope I helped <3
What makes the yardstick test a direct measurement of reaction time?
A.
The further the yardstick falls, the slower the reaction time.
B.
Yardsticks have numerical markings for length.
C.
Yardsticks are designed to measure reaction time.
D.
all of the above
Please select the best answer from the choices provided.
A
B
C
D
Answers
Answer:
A. the further the yardsticks falls, the slower the reaction time.
Answer:
The further the yardstick falls, the slower the reaction time.
Explanation:
its A
examples of uniform motion
Answers
Answer:
An airplane cruising at a level height and a steady speed.
A car going along a straight level road at steady speed.
A vibrating spring in a sewing machine.
A ship steaming on a straight course at steady speed.
A train going along the tracks at steady speed.
Explanation:
Hope this helps :)
Answer:
Examples of Uniform Motions.
The hr. ...
An airplane cruising at a level height and a steady speed.
A car going along a straight level road at steady speed.
A vibrating spring in a sewing machine.
A ship steaming on a straight course at steady speed.
A train going along the tracks at steady speed
Which force is always pulling but never pushes and is directly influenced by mass
Answers
Answer:
i believe it is gravity
Explanation:
the gravitational force is a force that attracts any two objects with mass. it pulls things together does not pushes them.
Typically, a bullet leaves a standard 45-caliber pistol (5.0-in. barrel) at a speed of 262 m/s. If it takes
1 ms to traverse the barrel, determine the average acceleration experienced by the 16.2-3 bullet withim
the gun and then compute the average force exerted on it.
Answers
When velocity is graphed with respect to time, what does the area under
the line represent?
A) velocity
B) distance
C) acceleration
D) displacement
Answers
Answer:
the answer is D
Explanation:
Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object.
Is Displacement
A large ball of Play-Doh with a mass of 0.04kg is launched from a catapult with an initial
speed of 5m/s and an
initial height of 1.0m. What is the final speed of the ball right before it strikes the ground? Draw a picture!
Answers
Answer:
≈ 6.68 m/s
Explanation:
A suitable formula is ...
vf^2 -vi^2 = 2ad
where vi and vf are the initial and final velocities, a is the acceleration, and d is the distance covered.
We note that if the initial launch direction is upward, the velocity of the ball when it comes back to its initial position is the same speed, but in the downward direction. Hence the problem is no different than if the ball were initially launched downward.
Then ...
vf = √(2ad +vi^2) = √(2·9.8 m/s^2·1.0 m+(5 m/s)^2) = √44.6 m/s
vf ≈ 6.68 m/s
The ball hits the ground with a speed of about 6.68 meters per second.
__
We assume the launch direction is either up or down.
In its American colonies, Spain helped the Catholic Church meet its goal of
finding gold.
gaining territory.
converting people.
achieving glory.
This is from ed please help thank you
Answers
Answer: Converting people
Explanation: In Spanish colonies such as Florida, Spanish moved up into the other states to spread their christianity and were successful with doing so.
what polarity must the red tip of the compass needle be since it points toward the south pole of the magnet?
Answers
Answer: positive
Explanation: because opposites attract and north=positive and south=negative the answer should be positive.
The polarity of the red tip of the compass needle must be at the north of the earth, since it points toward the south pole of the magnet.
What is meant by polarity of a magnet ?Polarity of a magnet is defined as the orientation of both the north and south poles of the magnet in space.
Here,
We know that, the opposite poles attract.
The magnetic needle is arranged in a such a way that, the red tip of the magnetic compass needle is actually pointing towards the geographic north pole of the earth.
In order to point the compass needle towards the magnetic south pole, the south pole of the magnet must be located in the geographic north pole.
Hence,
The polarity of the red tip of the compass needle must be at the north of the earth, since it points toward the south pole of the magnet.
To learn more about polarity of magnet, click:
https://brainly.com/question/15329793
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Which source of energy causes most of the water evaporation on Earth’s surface?
A.
wind
B.
solar
C.
gravity
D.
electrical
Answers
Answer:
I think it will be b. solar
Hope I can help.
Answer:
Explanation:
its b
Which of the following is true about particles of matter?
Answers
Answer:
Matter is a substance which has mass and takes up space by volume the properties of matter are,
States of matter (solid,liquid,gas)are inter convertable.
Force of attraction varies from one kind of matter to another.
States of matter can be varied by varying temperature and pressure.
Explanation:
please help !!!!! I’ll give brainliest !
Answers
I think A but I dont really know
Will mark brainiest!!!
1. A __ is caused by a sudden shift in the ocean crust which displaces the water. *
2. A tsunamis is possible, but unlikely at a __ plate boundary where two plates are moving sideways past each other. *
3. A Shallow __ is a good indicator of tsunamis, but sends data very slowly and cannot detect earthquakes. *
4. Tsunamis are common at __ plate boundaries, since large earthquakes release the built up pressure, resulting in a quick vertical movement of the plate. *
5. The Indonesian Earthquake of 2004 had a 9.1__, which was the third largest ever recorded in human history. *
All possible answers:
A. Earthquake
B. Tsunami
C. Magnitude
D. Sensor
E. Transform
F. Convergent
G. Divergent
Answers
Answer:
1. Tsunami
2.Divergent
3.Sensor
4.Convergent
5.Magnitude
Explanation:
A football player runs due South for 80 yards then cuts up the field due East for a distance of 45 yards before running into the end zone. What is the total displacement of the player?
Answers
Answer:
91.79 yardsExplanation:
Let the direction of the south be -y
Let the direction of the east be +x
The displacement is gotten by using the pythagoras theorem as shown;
Let d be the displacement;
d² = x² + y²
Given
x = 45 yards
y = -80 yards
Substitute the given values into the expression;
d² = x² + y²
d² = 45² + (-80)²
d² = 2025 + 6400
d² = 8425
d = √8425
d = 91.79 yards
Hence the total displacement of the player is 91.79 yards
Rodney hits a 0.060 kg tennis ball straight up with a speed of 15 m/s from a height of 2.2 m above the ground. How fast is the ball going when it is 9.5 m above the ground?
Answers
Answer:
Explanation:
From the question we are told that
The mass of the tennis ball is [tex]m = 0.060 \ kg[/tex]
The speed is [tex]u = 15 \ m/s[/tex]
The initial height of the ball is [tex]h_o = 2.2 \ m[/tex]
The height considered is [tex]h = 9.5 \ m[/tex]
Generally the time taken to reach the considered height is mathematically evaluated from the equation of motion as follows
[tex]h = h_o + ut - \frac{1}{2} gt^2[/tex]
=> [tex]9.5 = 2.2 + 15t - \frac{1}{2} * 9.8 t^2[/tex]
=> [tex]7.3 = 15t - 4.9t^2[/tex]
=> [tex]4.9t^2 -15t + 7.3[/tex]
solving the above equation using quadratic formula
[tex]t= 0.6070 \ s[/tex] and [tex]t_1 = 2.454 \ s[/tex]
Generally from kinematic equation we have that
[tex]v = u - gt[/tex]
=> [tex]v= 15 - 9.8 * 0.6070[/tex]
=> [tex]v= 9.0514 \ m/s[/tex]
Note if we had used the second values of time the velocity at 9.5 \ m would have been negative which is not correct given that at maximum height velocity is zero
What year was the RoboSapien toy robot released?
a) 2007
b) 2004
c) 2020
d) dunno
Answers
option b )2004........
HELP ASAP FAST PLEASE I NEED HELP
Mechanical energy is defined as
Question 1 options:
the energy of motion and position, which is represented by the formula KE + PE = ME
potential energy
Energy of motion
Energy of machines and tools
Answers
Answer:
energy of motion is represented by formula KE+PE=ME
Answer:
formula:
KE+PE=ME
Explanation:
HOPE IT HELPS!
thank me later
Can someone help me in this please any one good in science.
Answers
Let's calculate the equivalent resistances on both circuits.
On Diagram A we have a series connection of the resistors. The equivalent resistance will be the sum of all resistances:
[tex]R_{eq}=1+1+1\\\\\boxed{R_{eq}=3\Omega}[/tex]
On diagram B we have a parallel connection of the resistors. The reciprocal of the equivalent resistance will be the sum of the reciprocals of all the resistances:
[tex]\frac{1}{R_{eq}} = \frac{1}{1} +\frac{1}{1} +\frac{1}{1} \\\frac{1}{R_{eq}}=3\\\\\boxed{R_{eq}=\frac{1}{3}}[/tex]
Therefore, the larger resistance occurs on diagram A.
For the current, recall
[tex]V=IR[/tex]
Where [tex]I[/tex] stands for current [tex]R[/tex] is the resistance and [tex]V[/tex] is the voltage. Rearranging the equation we have
[tex]I = \frac{V}{R}[/tex]
We can see that the larger the resistance, the smaller the current gets. So the larger current must happen in the diagram with smaller resistance. Therefore, the larger current occurs on diagram B.
Glad to help, wish you great studies ;)
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The temperature of a substance is 45 C. Convert this to Kelvin.
Answers
Answer:
it will be 318.5 Kelvin
A marble is given potential energy by being placed by a location w. When the marble is released it rolls down the track at which location dose the marble have maximum kinetic energy w x or y or z
Answers
Answer:
The answer is "Location Y"
Explanation:
Please find the complete question in the attachment.
As we show in the graph when the marble rolling with the full force it will stop on the y location because it is curved, and the marble can't move to another location, that's why the maximum kinetic energy of the marble is at the y location.