Chapter : 4. Gravitation
Examples of Mass & Weight
Example : 8
At what height above the earth's surface the value of g will be half of that on the earth's surface ?
Solution. We know that the value of g at earth's surface is
...(1)
While the value of g at a height h above the earth's surface is given by
...(2)
Dividing equation (2) by equation (1), we get
Here,
Example : 9
Given mass of the planet Mars is 6 × 1023 kg and radius is 4.3 × 106 m. Calculate the weight of a man whose weight on earth is 600 N. (Given g on earth = 10 m/s2)
Solution. Weight of the man on earth, W = mg
or 600 = m × 10 or m = 60 kg
So the mass of the man is 60 kg which will remain the same everywhere.
Now acceleration due to gravity on Mars,
Here, Mm = 6 × 1023 kg; Rm = 4.3 × 106m
Now, weight of the man on Mars will be
Wm = m × gm = 60 × 2.17 = 130.2 N
At what height above the earth's surface the value of g will be half of that on the earth's surface ?
Solution. We know that the value of g at earth's surface is
...(1)While the value of g at a height h above the earth's surface is given by
...(2)Dividing equation (2) by equation (1), we get
Here,
Example : 9
Given mass of the planet Mars is 6 × 1023 kg and radius is 4.3 × 106 m. Calculate the weight of a man whose weight on earth is 600 N. (Given g on earth = 10 m/s2)
Solution. Weight of the man on earth, W = mg
or 600 = m × 10 or m = 60 kg
So the mass of the man is 60 kg which will remain the same everywhere.
Now acceleration due to gravity on Mars,
Here, Mm = 6 × 1023 kg; Rm = 4.3 × 106m
Now, weight of the man on Mars will be
Wm = m × gm = 60 × 2.17 = 130.2 N
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