Advertisements
Advertisements
Question
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 1024 kg and radius of the earth is 6.4 × 106 m).
Solution
Mass of the earth (M) = 6 × 1024 kg
Radius of the Earth (R) = 6.4 × 106 m
Mass of the object (m) = 1kg
Universal constant (G) = `6.67 × 10^-11 (Nm)^2/(kg)^2`
We know that, F = `(GM_eM_(body))/r_e^2`
F = `(6.67×10^-11 × 6×10^24 × 1)/(6.4×10^6)^2`
This gives, F = 9.8 N
Hence the gravitational force between the object and the earth = 9.8 N.
APPEARS IN
RELATED QUESTIONS
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing depth. (assume the earth to be a sphere of uniform density).
A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves at a speed of 2 m s −1 as it reaches A. The work done by the person on the mass is −3 J. The potential at A is
A person sitting in a chair in a satellite feels weightless because
The law of gravitation gives the gravitational force between :
A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 ms-2 , find :
the total time of journey of the ball .
What does a force do in the following case?
You catch a kicked ball.
Name and state the action and reaction in the following case:
Hammering a nail.
State Newton's law of gravitation. What is the difference between:
Gravity and gravitation
Mahendra and Virat are sitting at a distance of 1 m from each other.Their masses are 75 kg and 80 kg respectively. What is the gravitational force between them? (G = 6.67 × 10-11 Nm2/kg2)
Particles of masses 2M, m and M are respectively at points A, B and C with AB = ½ (BC). m is much-much smaller than M and at time t = 0, they are all at rest (Figure). At subsequent times before any collision takes place ______.
