Class 9 Exam > Class 9 Questions > A sphere of mass 40 kg is attracted by a seco...
Start Learning for Free
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?
Verified Answer
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg w...
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg w...
Key Information:
- Mass of first sphere (m1) = 40 kg
- Mass of second sphere (m2) = 60 kg
- Force between the spheres (F) = 4 x 10^-5 N
- Gravitational constant (G) = 6 x 10^-11 Nm^2/kg^2
Calculating the Distance:
To calculate the distance between the two spheres, we can use Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Mathematical Representation:
F = G * (m1 * m2) / r^2
Where:
F = Force between the spheres
G = Gravitational constant
m1 = Mass of first sphere
m2 = Mass of second sphere
r = Distance between the spheres
Rearranging the Equation:
To find the distance (r), we need to rearrange the equation:
r^2 = G * (m1 * m2) / F
Plug in the Values:
Now, let's substitute the given values into the equation:
r^2 = (6 x 10^-11 Nm^2/kg^2) * (40 kg * 60 kg) / (4 x 10^-5 N)
Simplifying the equation, we get:
r^2 = (6 x 10^-11 Nm^2/kg^2) * (2400 kg^2) / (4 x 10^-5 N)
r^2 = (6 x 10^-11 Nm^2/kg^2) * (2400 kg^2) * (10^5 N) / 4
Calculating the Distance:
Now, let's calculate the distance (r) by taking the square root of both sides:
r = sqrt[(6 x 10^-11 Nm^2/kg^2) * (2400 kg^2) * (10^5 N) / 4]
Simplifying further:
r = sqrt[(6 x 2400 x 10^-11 x 10^5) / 4] m
r = sqrt[(6 x 2400 x 10^-6)] m
r = sqrt[(6 x 24) x 10^-6] m
r = sqrt[144 x 10^-6] m
r = sqrt[1.44 x 10^-4] m
r = 1.2 x 10^-2 m
Conclusion:
The distance between the two spheres is approximately 1.2 x 10^-2 meters.
- Mass of first sphere (m1) = 40 kg
- Mass of second sphere (m2) = 60 kg
- Force between the spheres (F) = 4 x 10^-5 N
- Gravitational constant (G) = 6 x 10^-11 Nm^2/kg^2
Calculating the Distance:
To calculate the distance between the two spheres, we can use Newton's law of universal gravitation, which states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Mathematical Representation:
F = G * (m1 * m2) / r^2
Where:
F = Force between the spheres
G = Gravitational constant
m1 = Mass of first sphere
m2 = Mass of second sphere
r = Distance between the spheres
Rearranging the Equation:
To find the distance (r), we need to rearrange the equation:
r^2 = G * (m1 * m2) / F
Plug in the Values:
Now, let's substitute the given values into the equation:
r^2 = (6 x 10^-11 Nm^2/kg^2) * (40 kg * 60 kg) / (4 x 10^-5 N)
Simplifying the equation, we get:
r^2 = (6 x 10^-11 Nm^2/kg^2) * (2400 kg^2) / (4 x 10^-5 N)
r^2 = (6 x 10^-11 Nm^2/kg^2) * (2400 kg^2) * (10^5 N) / 4
Calculating the Distance:
Now, let's calculate the distance (r) by taking the square root of both sides:
r = sqrt[(6 x 10^-11 Nm^2/kg^2) * (2400 kg^2) * (10^5 N) / 4]
Simplifying further:
r = sqrt[(6 x 2400 x 10^-11 x 10^5) / 4] m
r = sqrt[(6 x 2400 x 10^-6)] m
r = sqrt[(6 x 24) x 10^-6] m
r = sqrt[144 x 10^-6] m
r = sqrt[1.44 x 10^-4] m
r = 1.2 x 10^-2 m
Conclusion:
The distance between the two spheres is approximately 1.2 x 10^-2 meters.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?
Question Description
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?.
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?.
Solutions for A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? defined & explained in the simplest way possible. Besides giving the explanation of
A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?, a detailed solution for A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? has been provided alongside types of A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? theory, EduRev gives you an
ample number of questions to practice A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup