Numericals of Chapter Gravitation from S Chand Book of Class 9

Here are the numericals of chapter gravitation from S Chand book of class 9:

1. Calculate the gravitational force between two bodies of masses 25 kg and 35 kg separated by a distance of 5 m.

Solution:
F = Gm1m2/r^2
F = (6.67 × 10^-11) × (25) × (35) / (5)^2
F = 1.67 × 10^-9 N

2. A body is dropped from a height of 50 m. Calculate the time taken to reach the ground.

Solution:
h = 1/2 gt^2
50 = 1/2 × 9.8 × t^2
t = √(50/4.9)
t = 3.2 s

3. Calculate the acceleration due to gravity on the surface of the earth.

Solution:
g = GM/r^2
g = (6.67 × 10^-11) × (5.98 × 10^24) / (6.38 × 10^6)^2
g = 9.8 m/s^2

4. A satellite is orbiting the earth at a distance of 500 km from the surface. Calculate the speed of the satellite.

Solution:
v = √(GM/r)
v = √((6.67 × 10^-11) × (5.98 × 10^24) / (6.88 × 10^6))
v = 7.9 km/s

5. Calculate the weight of a person of mass 60 kg on the surface of the moon.

Solution:
w = mg
w = 60 × 1.62
w = 97.2 N

Conclusion

These numericals from the gravitation chapter of the S Chand book of class 9 will help you understand the concepts of gravitation and its related calculations. These numericals are important for solving problems related to the motion and orbiting of bodies.

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