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Grade 9 RT-3 Key

The document discusses the universal law of gravitation, detailing the forces of attraction between two bodies and the relationship between their masses. It explains concepts such as acceleration due to gravity and the universal gravitational constant, providing specific values for g and G. Additionally, it presents a scenario involving the calculation of height based on initial velocity and time taken to reach the ground.

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Nicole Chhabria
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24 views5 pages

Grade 9 RT-3 Key

The document discusses the universal law of gravitation, detailing the forces of attraction between two bodies and the relationship between their masses. It explains concepts such as acceleration due to gravity and the universal gravitational constant, providing specific values for g and G. Additionally, it presents a scenario involving the calculation of height based on initial velocity and time taken to reach the ground.

Uploaded by

Nicole Chhabria
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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2024-25

Subject; Gravitation and lawss


Name: Duration:
Class/Section: IX/ RT-3 Key
Roll No: Max Marks: 16

1. Let P and Q be the two bodies,


the mass of body P = m1
And the mass of body Q=m2
As per the universal law of gravitation, the force of attraction between the earth and the body P is given by,
Fp = G×Me×m1R2 …..(1)
Where, R is the distance of the body from the centre of the earth.
Similarly, the force of attraction between the earth and the body Q is givsen by
FQ = G×Me×m2R2 …….(2)
Since, the two forces, i.e., Fp and FQ are equal, thus from (1) and (2),

⇒ m1 = m 2
G×Me×m1R2=G×Me×m2R2

2.
Acceleration due to gravity (g) Universal gravitational constant (G)

1. Acceleration due to gravity is the acceleration 1. Gravitational constant is numerically equal to the
acquired by a body due to the earth’s gravitational force of attraction between two masses of 1 kg that
pull on it. are separated by a distance of 1 m.
2. g is a vector quantity. 2. G is a scalar quantity.
3. It is different at different places on the surface 3. The ‘G’ is a universal constant, i.e., its value is
of the earth. Its value also varies from one celestial the same (i.e. 6.7 × 10-11 Nm2 kg-2) everywhere in
body to another. the universe.

3.Here, g = 1.67 ms-2, R = 1.74 × 106 m and G = 6.67 × 10-2 Nm2 kg-2

4. Here, initial velocity, u = 0Time taken to reach the ground, t = 4 sAcceleration, a = g = 9.8 m/s 2
Height of the building, h = ?

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