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Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerations
of the bodies assuming that only gravitational force acts between them :-
- a)1.33 × 10-10 & 6.67 × 10-11 m/s2
- b)1.33 × 10-11 & 6.25 × 10-11 m/s2
- c)5.36 × 10-11 & 5.26 × 10-11 m/s2
- d)3.11 × 10-11 & 5.26 × 10-11 m/s2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two bodies of masses 1 kg and 2 kg respectively are placed at a separa...
Let M denote the mass of 2kg, and m denote the mass of 1kg. And D be the seperation between their centres (1m.)
The force experienced by the bodies is equal to
Most Upvoted Answer
Two bodies of masses 1 kg and 2 kg respectively are placed at a separa...
To find the acceleration of the bodies, we can use Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force between the bodies
G is the gravitational constant (approximately 6.67430 x 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the bodies
r is the separation between the bodies
First, let's calculate the gravitational force between the bodies:
F = (6.67430 x 10^-11 N(m/kg)^2) * ((1 kg) * (2 kg)) / (1 m)^2
F = (6.67430 x 10^-11 N(m/kg)^2) * (2 kg) / (1 m)^2
F = 13.3486 x 10^-11 N
Next, we can use Newton's second law of motion to find the acceleration of the bodies:
F = m * a
Where:
F is the gravitational force between the bodies
m is the mass of the body
a is the acceleration of the body
For the first body (mass = 1 kg):
13.3486 x 10^-11 N = (1 kg) * a1
a1 = 13.3486 x 10^-11 N / (1 kg)
a1 = 13.3486 x 10^-11 m/s^2
For the second body (mass = 2 kg):
13.3486 x 10^-11 N = (2 kg) * a2
a2 = 13.3486 x 10^-11 N / (2 kg)
a2 = 6.6743 x 10^-11 m/s^2
Therefore, the accelerations of the bodies are:
a1 = 13.3486 x 10^-11 m/s^2
a2 = 6.6743 x 10^-11 m/s^2
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force between the bodies
G is the gravitational constant (approximately 6.67430 x 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the bodies
r is the separation between the bodies
First, let's calculate the gravitational force between the bodies:
F = (6.67430 x 10^-11 N(m/kg)^2) * ((1 kg) * (2 kg)) / (1 m)^2
F = (6.67430 x 10^-11 N(m/kg)^2) * (2 kg) / (1 m)^2
F = 13.3486 x 10^-11 N
Next, we can use Newton's second law of motion to find the acceleration of the bodies:
F = m * a
Where:
F is the gravitational force between the bodies
m is the mass of the body
a is the acceleration of the body
For the first body (mass = 1 kg):
13.3486 x 10^-11 N = (1 kg) * a1
a1 = 13.3486 x 10^-11 N / (1 kg)
a1 = 13.3486 x 10^-11 m/s^2
For the second body (mass = 2 kg):
13.3486 x 10^-11 N = (2 kg) * a2
a2 = 13.3486 x 10^-11 N / (2 kg)
a2 = 6.6743 x 10^-11 m/s^2
Therefore, the accelerations of the bodies are:
a1 = 13.3486 x 10^-11 m/s^2
a2 = 6.6743 x 10^-11 m/s^2
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Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer?
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Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer? 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 Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer?.
Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer? 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 Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice Two bodies of masses 1 kg and 2 kg respectively are placed at a separation of 1 m. Find the accelerationsof the bodies assuming that only gravitational force acts between them :-a)1.33 × 10-10& 6.67 × 10-11m/s2b)1.33 × 10-11& 6.25 × 10-11m/s2c)5.36 × 10-11& 5.26 × 10-11m/s2d)3.11 × 10-11& 5.26 × 10-11m/s2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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