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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?
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A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg w...
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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.
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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?
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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?.
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